%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA155^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 08:00:17 AM UTC 2026
% Result : Unsatisfiable 69.83s 10.62s
% Output : Refutation 70.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X0: $i,X2: $i,X3: $i,X1: $i] :
( ~ ( r @ X0 @ X3 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X0: $i,X3: $i,X1: $i,X4: $i,X2: $i] :
( ~ ( b @ X0 @ X2 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f9,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X0 @ X4 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X4 @ X1 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X0 @ X2 ) ),
inference(rectify,[],[f7]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X0 @ X4 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X4 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f13,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(rectify,[],[f5]) ).
thf(f15,plain,
! [X1: $i,X0: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X0 @ X2 )
| ~ ( r @ X3 @ X1 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X0 @ X1 ) ),
inference(rectify,[],[f6]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X2: $i,X0: $i,X4: $i,X1: $i,X3: $i] :
( ( $true
!= ( b @ X0 @ X4 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X4 @ X1 ) )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f22,plain,
! [X0: $i,X2: $i,X3: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true ) ),
inference(rectify,[],[f22]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ X0 ) ) ),
inference(rectify,[],[f15]) ).
thf(f25,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ X4 ) ) ),
inference(rectify,[],[f19]) ).
thf(f26,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f21]) ).
thf(f27,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f28,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f30,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f31,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f32,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X4 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f33,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f36,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f31,f27]) ).
thf(f37,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f31,f27]) ).
thf(f38,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f31,f33]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ X4 )
!= $true ) ),
inference(constrained_superposition,[],[f32,f31]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X3 ) ) ),
inference(constrained_superposition,[],[f32,f36]) ).
thf(f44,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f43]) ).
thf(f48,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ z @ X3 ) ) ),
inference(constrained_superposition,[],[f32,f37]) ).
thf(f49,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X3 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f56,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f38,f27]) ).
thf(f57,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f38,f27]) ).
thf(f58,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) ) ),
inference(extensionality_resolution,[],[f38,f33]) ).
thf(f66,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( ( b @ z @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f49,f56]) ).
thf(f68,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X3 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f32,f56]) ).
thf(f70,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f66]) ).
thf(f71,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X3 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f68]) ).
thf(f73,definition,
( spl0_1
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f74,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_1 ),
inference(avatar_component_clause,[],[f73]) ).
thf(f76,definition,
( spl0_2
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f77,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f76]) ).
thf(f79,definition,
( spl0_3
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ z @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f80,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f79]) ).
thf(f81,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f70,f79,f76,f73]) ).
thf(f82,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_1 ),
inference(constrained_superposition,[],[f74,f36]) ).
thf(f85,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_1 ),
inference(trivial_inequality_removal,[],[f82]) ).
thf(f87,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl0_1 ),
inference(constrained_superposition,[],[f29,f85]) ).
thf(f88,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| spl0_1 ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f92,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f71,f37]) ).
thf(f97,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ z @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f92]) ).
thf(f101,definition,
( spl0_4
<=> ! [X2: $i,X1: $i] :
( ( ( b @ z @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f102,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ z @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f101]) ).
thf(f104,definition,
( spl0_5
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f105,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_5 ),
inference(avatar_component_clause,[],[f104]) ).
thf(f106,plain,
( spl0_2
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f97,f104,f101,f76]) ).
thf(f107,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| spl0_5 ),
inference(constrained_superposition,[],[f105,f37]) ).
thf(f110,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_5 ),
inference(trivial_inequality_removal,[],[f107]) ).
thf(f119,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f49,f57]) ).
thf(f120,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f44,f57]) ).
thf(f121,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f32,f57]) ).
thf(f122,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f121]) ).
thf(f123,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X2 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f119]) ).
thf(f124,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f120]) ).
thf(f133,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f58,f33]) ).
thf(f135,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(extensionality_resolution,[],[f58,f27]) ).
thf(f136,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f58,f27]) ).
thf(f148,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f71,f135]) ).
thf(f149,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ z @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f49,f135]) ).
thf(f151,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X3 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f32,f135]) ).
thf(f153,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f151]) ).
thf(f155,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f148]) ).
thf(f156,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ z @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f149]) ).
thf(f158,definition,
( spl0_6
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f159,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f158]) ).
thf(f161,definition,
( spl0_7
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f162,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f161]) ).
thf(f164,definition,
( spl0_8
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f165,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_8 ),
inference(avatar_component_clause,[],[f164]) ).
thf(f166,plain,
( spl0_6
| spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f155,f164,f161,f158]) ).
thf(f168,definition,
( spl0_9
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f169,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_9 ),
inference(avatar_component_clause,[],[f168]) ).
thf(f171,definition,
( spl0_10
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f172,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f171]) ).
thf(f174,definition,
( spl0_11
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f175,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f174]) ).
thf(f176,plain,
( ~ spl0_9
| spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f156,f174,f171,f168]) ).
thf(f177,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_9 ),
inference(constrained_superposition,[],[f169,f36]) ).
thf(f179,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_9 ),
inference(trivial_inequality_removal,[],[f177]) ).
thf(f182,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| spl0_9 ),
inference(constrained_superposition,[],[f29,f179]) ).
thf(f183,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| spl0_9 ),
inference(trivial_inequality_removal,[],[f182]) ).
thf(f186,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_8 ),
inference(constrained_superposition,[],[f165,f31]) ).
thf(f187,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f186]) ).
thf(f191,definition,
( spl0_12
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f192,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f191]) ).
thf(f194,definition,
( spl0_13
<=> ( ( s @ ( s @ z ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f195,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f194]) ).
thf(f196,plain,
( spl0_12
| spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f187,f164,f194,f191]) ).
thf(f199,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f159,f56]) ).
thf(f201,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f159,f37]) ).
thf(f206,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f199]) ).
thf(f207,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f206]) ).
thf(f208,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f201]) ).
thf(f211,definition,
( spl0_14
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f212,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f211]) ).
thf(f214,definition,
( spl0_15
<=> ! [X0: $i] :
( $true
!= ( b @ ( s @ z ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f215,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f214]) ).
thf(f216,plain,
( spl0_14
| spl0_15
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f207,f158,f214,f211]) ).
thf(f218,definition,
( spl0_16
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f219,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f218]) ).
thf(f221,definition,
( spl0_17
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f222,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f221]) ).
thf(f223,plain,
( spl0_16
| spl0_17
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f208,f158,f221,f218]) ).
thf(f227,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f153,f56]) ).
thf(f229,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f153,f37]) ).
thf(f235,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f227]) ).
thf(f236,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ z @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f229]) ).
thf(f240,definition,
( spl0_18
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f241,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_18 ),
inference(avatar_component_clause,[],[f240]) ).
thf(f243,definition,
( spl0_19
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f244,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f243]) ).
thf(f245,plain,
( spl0_7
| ~ spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f235,f243,f240,f161]) ).
thf(f247,definition,
( spl0_20
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ z @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f248,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ z @ X2 )
!= $true ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f247]) ).
thf(f250,definition,
( spl0_21
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f251,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_21 ),
inference(avatar_component_clause,[],[f250]) ).
thf(f252,plain,
( spl0_11
| spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f236,f250,f247,f174]) ).
thf(f253,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_21 ),
inference(constrained_superposition,[],[f251,f37]) ).
thf(f255,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_21 ),
inference(trivial_inequality_removal,[],[f253]) ).
thf(f257,plain,
( spl0_16
| spl0_21 ),
inference(avatar_split_clause,[],[f255,f250,f218]) ).
thf(f259,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f29,f219]) ).
thf(f260,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f259]) ).
thf(f261,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| spl0_9
| ~ spl0_16 ),
inference(constrained_superposition,[],[f260,f179]) ).
thf(f262,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| spl0_9
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f261]) ).
thf(f263,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| spl0_9
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f262]) ).
thf(f276,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f122,f136]) ).
thf(f277,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) ),
inference(constrained_superposition,[],[f71,f136]) ).
thf(f279,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f44,f136]) ).
thf(f280,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f32,f136]) ).
thf(f281,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f279]) ).
thf(f282,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f276]) ).
thf(f283,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f277]) ).
thf(f284,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f280]) ).
thf(f287,definition,
( spl0_22
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f288,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f287]) ).
thf(f289,plain,
( spl0_12
| spl0_22 ),
inference(avatar_split_clause,[],[f282,f287,f191]) ).
thf(f291,definition,
( spl0_23
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f292,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f291]) ).
thf(f293,plain,
( spl0_14
| spl0_23 ),
inference(avatar_split_clause,[],[f283,f291,f211]) ).
thf(f294,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_9
| ~ spl0_12
| ~ spl0_16 ),
inference(constrained_superposition,[],[f263,f192]) ).
thf(f296,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true ) )
| spl0_9
| ~ spl0_12 ),
inference(constrained_superposition,[],[f183,f192]) ).
thf(f300,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f296]) ).
thf(f301,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_9
| ~ spl0_12
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f294]) ).
thf(f303,plain,
( $false
| spl0_5
| spl0_9
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f301,f110]) ).
thf(f304,plain,
( spl0_5
| spl0_9
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f303]) ).
thf(f310,definition,
( spl0_25
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f311,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f310]) ).
thf(f313,definition,
( spl0_26
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f314,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ z @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f313]) ).
thf(f315,plain,
( spl0_25
| spl0_26 ),
inference(avatar_split_clause,[],[f123,f313,f310]) ).
thf(f317,definition,
( spl0_27
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f318,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f317]) ).
thf(f319,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_25 ),
inference(avatar_component_clause,[],[f310]) ).
thf(f320,plain,
( spl0_27
| ~ spl0_25
| spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f300,f191,f168,f310,f317]) ).
thf(f323,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f29,f219]) ).
thf(f324,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f323]) ).
thf(f325,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_1
| ~ spl0_14 ),
inference(constrained_superposition,[],[f88,f212]) ).
thf(f328,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| spl0_1
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f325]) ).
thf(f329,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| spl0_1
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f328,f219]) ).
thf(f330,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| spl0_1
| ~ spl0_14
| ~ spl0_16 ),
inference(constrained_superposition,[],[f329,f212]) ).
thf(f333,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_1
| ~ spl0_14
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f330]) ).
thf(f334,plain,
( $false
| spl0_1
| ~ spl0_14
| ~ spl0_16
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f333,f311]) ).
thf(f335,plain,
( spl0_1
| ~ spl0_14
| ~ spl0_16
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f334]) ).
thf(f337,definition,
( spl0_28
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f338,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f337]) ).
thf(f340,definition,
( spl0_29
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f341,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f340]) ).
thf(f342,plain,
( spl0_28
| spl0_29 ),
inference(avatar_split_clause,[],[f124,f340,f337]) ).
thf(f343,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f29,f338]) ).
thf(f344,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f343]) ).
thf(f345,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f102,f57]) ).
thf(f351,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f345]) ).
thf(f354,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_14
| ~ spl0_28 ),
inference(constrained_superposition,[],[f344,f212]) ).
thf(f355,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_14
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f354]) ).
thf(f357,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_14
| ~ spl0_16
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f355,f219]) ).
thf(f358,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_14
| ~ spl0_16
| ~ spl0_28 ),
inference(constrained_superposition,[],[f357,f212]) ).
thf(f360,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_14
| ~ spl0_16
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f358]) ).
thf(f362,plain,
( $false
| ~ spl0_14
| ~ spl0_16
| ~ spl0_25
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f360,f311]) ).
thf(f363,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_25
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f362]) ).
thf(f370,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f351,f57]) ).
thf(f375,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f370]) ).
thf(f376,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f375]) ).
thf(f380,definition,
( spl0_30
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f381,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f380]) ).
thf(f382,plain,
( ~ spl0_1
| spl0_30
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f376,f101,f380,f73]) ).
thf(f407,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f288,f136]) ).
thf(f408,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f288,f57]) ).
thf(f409,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f408]) ).
thf(f412,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f407]) ).
thf(f413,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f412]) ).
thf(f417,definition,
( spl0_32
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f418,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f417]) ).
thf(f420,definition,
( spl0_33
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f421,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f420]) ).
thf(f422,plain,
( spl0_32
| spl0_33
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f409,f287,f420,f417]) ).
thf(f424,definition,
( spl0_34
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f425,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f424]) ).
thf(f431,definition,
( spl0_36
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f432,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f431]) ).
thf(f434,definition,
( spl0_37
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f435,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f434]) ).
thf(f436,plain,
( spl0_36
| spl0_37
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f413,f287,f434,f431]) ).
thf(f438,definition,
( spl0_38
<=> ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f439,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f438]) ).
thf(f441,definition,
( spl0_39
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f442,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f441]) ).
thf(f443,plain,
( spl0_38
| spl0_39 ),
inference(avatar_split_clause,[],[f281,f441,f438]) ).
thf(f444,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_16
| ~ spl0_38 ),
inference(constrained_superposition,[],[f324,f439]) ).
thf(f445,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f29,f439]) ).
thf(f446,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_16
| ~ spl0_38 ),
inference(duplicate_literal_removal,[],[f444]) ).
thf(f447,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_16
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f446]) ).
thf(f448,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f445]) ).
thf(f450,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f29,f192]) ).
thf(f451,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f450]) ).
thf(f455,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_16
| ~ spl0_38 ),
inference(constrained_superposition,[],[f447,f192]) ).
thf(f458,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_12
| ~ spl0_16
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f455]) ).
thf(f460,plain,
( $false
| ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f458,f311]) ).
thf(f461,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f460]) ).
thf(f465,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f29,f77]) ).
thf(f466,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f465]) ).
thf(f470,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_7
| ~ spl0_38 ),
inference(constrained_superposition,[],[f448,f162]) ).
thf(f471,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_12
| ~ spl0_38 ),
inference(constrained_superposition,[],[f448,f192]) ).
thf(f473,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_12
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f471]) ).
thf(f474,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f470]) ).
thf(f478,plain,
( spl0_27
| ~ spl0_25
| ~ spl0_12
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f473,f438,f191,f310,f317]) ).
thf(f479,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_12
| ~ spl0_38 ),
inference(constrained_superposition,[],[f451,f439]) ).
thf(f483,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f479]) ).
thf(f484,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f483,f338]) ).
thf(f486,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_28
| ~ spl0_38 ),
inference(constrained_superposition,[],[f484,f77]) ).
thf(f487,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_28
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f486]) ).
thf(f489,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_28
| ~ spl0_38 ),
inference(constrained_superposition,[],[f487,f439]) ).
thf(f490,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_28
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f489]) ).
thf(f491,plain,
( spl0_16
| ~ spl0_2
| ~ spl0_12
| ~ spl0_28
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f490,f438,f337,f191,f76,f218]) ).
thf(f534,definition,
( spl0_41
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f535,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f534]) ).
thf(f541,definition,
( spl0_43
<=> ! [X1: $i] :
( $true
!= ( b @ z @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f542,plain,
( ! [X1: $i] :
( $true
!= ( b @ z @ X1 ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f541]) ).
thf(f547,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_28 ),
inference(avatar_component_clause,[],[f337]) ).
thf(f549,definition,
( spl0_45
<=> ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f550,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f549]) ).
thf(f552,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f474,f77]) ).
thf(f553,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f29,f311]) ).
thf(f554,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f553]) ).
thf(f559,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_25 ),
inference(constrained_superposition,[],[f554,f77]) ).
thf(f560,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_2
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f559]) ).
thf(f561,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_38 ),
inference(constrained_superposition,[],[f552,f162]) ).
thf(f562,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_38 ),
inference(duplicate_literal_removal,[],[f561]) ).
thf(f563,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f562]) ).
thf(f575,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f341,f57]) ).
thf(f577,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_29 ),
inference(duplicate_literal_removal,[],[f575]) ).
thf(f578,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f577]) ).
thf(f585,definition,
( spl0_46
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f586,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f585]) ).
thf(f587,plain,
( spl0_46
| spl0_30
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f578,f340,f380,f585]) ).
thf(f596,definition,
( spl0_49
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f597,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f596]) ).
thf(f599,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_16 ),
inference(avatar_component_clause,[],[f218]) ).
thf(f601,definition,
( spl0_50
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
thf(f602,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f601]) ).
thf(f603,plain,
( ~ spl0_16
| spl0_50
| ~ spl0_2
| ~ spl0_7
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f563,f438,f161,f76,f601,f218]) ).
thf(f604,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_25
| ~ spl0_28 ),
inference(constrained_superposition,[],[f554,f338]) ).
thf(f607,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_25
| ~ spl0_28 ),
inference(duplicate_literal_removal,[],[f604]) ).
thf(f608,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_25
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f607]) ).
thf(f642,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f432,f37]) ).
thf(f647,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f642]) ).
thf(f653,plain,
( spl0_16
| ~ spl0_5
| ~ spl0_9
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f647,f431,f168,f104,f218]) ).
thf(f654,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f215,f57]) ).
thf(f661,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f654]) ).
thf(f662,plain,
( spl0_30
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f661,f214,f380]) ).
thf(f663,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_18 ),
inference(constrained_superposition,[],[f241,f56]) ).
thf(f665,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_18 ),
inference(constrained_superposition,[],[f241,f31]) ).
thf(f666,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_18 ),
inference(trivial_inequality_removal,[],[f663]) ).
thf(f668,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_18 ),
inference(trivial_inequality_removal,[],[f665]) ).
thf(f669,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f666,f240,f211]) ).
thf(f671,plain,
( spl0_13
| spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f668,f240,f211,f194]) ).
thf(f685,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 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_11 ),
inference(constrained_superposition,[],[f466,f175]) ).
thf(f687,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f29,f175]) ).
thf(f688,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f687]) ).
thf(f689,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f685]) ).
thf(f696,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_7 ),
inference(constrained_superposition,[],[f466,f162]) ).
thf(f698,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f29,f162]) ).
thf(f699,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f698]) ).
thf(f700,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f696]) ).
thf(f702,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_7
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f700,f599]) ).
thf(f795,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,[],[f133,f27]) ).
thf(f796,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,[],[f133,f27]) ).
thf(f853,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ X3 @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X1 = X3 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f42,f37]) ).
thf(f866,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( X1 = X3 )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
= ( r @ X3 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f853]) ).
thf(f934,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f153,f795]) ).
thf(f936,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(constrained_superposition,[],[f71,f795]) ).
thf(f937,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ z @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f49,f795]) ).
thf(f940,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X3 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f32,f795]) ).
thf(f943,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ z @ X2 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f937]) ).
thf(f944,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f934]) ).
thf(f946,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f936]) ).
thf(f947,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X3 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f940]) ).
thf(f949,definition,
( spl0_51
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f950,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_51 ),
inference(avatar_component_clause,[],[f949]) ).
thf(f952,definition,
( spl0_52
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
thf(f953,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f952]) ).
thf(f955,definition,
( spl0_53
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f956,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f955]) ).
thf(f957,plain,
( ~ spl0_51
| spl0_52
| spl0_53 ),
inference(avatar_split_clause,[],[f943,f955,f952,f949]) ).
thf(f959,definition,
( spl0_54
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f960,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f959]) ).
thf(f962,definition,
( spl0_55
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f963,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f962]) ).
thf(f965,definition,
( spl0_56
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f966,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_56 ),
inference(avatar_component_clause,[],[f965]) ).
thf(f967,plain,
( spl0_54
| spl0_55
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f944,f965,f962,f959]) ).
thf(f969,definition,
( spl0_57
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f970,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_57 ),
inference(avatar_component_clause,[],[f969]) ).
thf(f972,definition,
( spl0_58
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f973,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f972]) ).
thf(f975,definition,
( spl0_59
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f976,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f975]) ).
thf(f977,plain,
( ~ spl0_57
| spl0_58
| spl0_59 ),
inference(avatar_split_clause,[],[f946,f975,f972,f969]) ).
thf(f978,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_51 ),
inference(constrained_superposition,[],[f950,f36]) ).
thf(f980,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_51 ),
inference(trivial_inequality_removal,[],[f978]) ).
thf(f985,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_11
| spl0_51 ),
inference(constrained_superposition,[],[f688,f980]) ).
thf(f987,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| spl0_51 ),
inference(constrained_superposition,[],[f699,f980]) ).
thf(f988,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_7
| spl0_16
| spl0_51 ),
inference(constrained_superposition,[],[f702,f980]) ).
thf(f992,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl0_51 ),
inference(constrained_superposition,[],[f29,f980]) ).
thf(f993,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_7
| spl0_51 ),
inference(trivial_inequality_removal,[],[f987]) ).
thf(f994,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| spl0_51 ),
inference(trivial_inequality_removal,[],[f985]) ).
thf(f995,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| spl0_51 ),
inference(trivial_inequality_removal,[],[f992]) ).
thf(f999,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_7
| spl0_16
| spl0_51 ),
inference(trivial_inequality_removal,[],[f988]) ).
thf(f1005,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_7
| spl0_16
| ~ spl0_28
| spl0_51 ),
inference(forward_subsumption_resolution,[],[f999,f338]) ).
thf(f1022,definition,
( spl0_60
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
thf(f1023,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f1022]) ).
thf(f1025,definition,
( spl0_61
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
thf(f1026,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f1025]) ).
thf(f1040,definition,
( spl0_62
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
thf(f1041,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f1040]) ).
thf(f1042,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_38 ),
inference(avatar_component_clause,[],[f438]) ).
thf(f1043,plain,
( spl0_62
| ~ spl0_38
| ~ spl0_2
| ~ spl0_7
| spl0_16
| ~ spl0_28
| spl0_51 ),
inference(avatar_split_clause,[],[f1005,f949,f337,f218,f161,f76,f438,f1040]) ).
thf(f1046,definition,
( spl0_63
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
thf(f1047,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f1046]) ).
thf(f1049,definition,
( spl0_64
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
thf(f1050,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f1049]) ).
thf(f1051,plain,
( spl0_63
| spl0_64
| ~ spl0_11
| spl0_51 ),
inference(avatar_split_clause,[],[f994,f949,f174,f1049,f1046]) ).
thf(f1052,plain,
( spl0_63
| spl0_62
| ~ spl0_7
| spl0_51 ),
inference(avatar_split_clause,[],[f993,f949,f161,f1040,f1046]) ).
thf(f1055,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_12
| ~ spl0_27 ),
inference(constrained_superposition,[],[f318,f192]) ).
thf(f1056,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_12 ),
inference(constrained_superposition,[],[f466,f192]) ).
thf(f1058,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f29,f192]) ).
thf(f1059,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1058]) ).
thf(f1061,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_12
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1055]) ).
thf(f1062,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f1056]) ).
thf(f1063,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1062]) ).
thf(f1067,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62 ),
inference(constrained_superposition,[],[f608,f1041]) ).
thf(f1069,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_62 ),
inference(constrained_superposition,[],[f29,f1041]) ).
thf(f1070,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f1067]) ).
thf(f1072,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f1069]) ).
thf(f1073,plain,
( $false
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f1070,f1050]) ).
thf(f1074,plain,
( ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f1073]) ).
thf(f1078,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_56 ),
inference(constrained_superposition,[],[f966,f31]) ).
thf(f1079,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_56 ),
inference(trivial_inequality_removal,[],[f1078]) ).
thf(f1084,definition,
( spl0_65
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
thf(f1085,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f1084]) ).
thf(f1087,definition,
( spl0_66
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f1088,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1087]) ).
thf(f1089,plain,
( spl0_65
| spl0_66
| spl0_56 ),
inference(avatar_split_clause,[],[f1079,f965,f1087,f1084]) ).
thf(f1093,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_65 ),
inference(constrained_superposition,[],[f688,f1085]) ).
thf(f1099,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_11
| ~ spl0_65 ),
inference(duplicate_literal_removal,[],[f1093]) ).
thf(f1100,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f1099]) ).
thf(f1107,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f1100,f1070]) ).
thf(f1121,definition,
( spl0_67
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
thf(f1122,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f1121]) ).
thf(f1123,plain,
( spl0_16
| spl0_67
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1063,f191,f76,f1121,f218]) ).
thf(f1125,definition,
( spl0_68
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f1126,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f1125]) ).
thf(f1127,plain,
( spl0_68
| spl0_16
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f700,f161,f76,f218,f1125]) ).
thf(f1128,plain,
( ~ spl0_16
| ~ spl0_12
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1061,f317,f191,f218]) ).
thf(f1130,definition,
( spl0_69
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f1131,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 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f1130]) ).
thf(f1132,plain,
( spl0_69
| spl0_16
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f689,f174,f76,f218,f1130]) ).
thf(f1133,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f29,f219]) ).
thf(f1134,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f1133]) ).
thf(f1150,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| spl0_51
| ~ spl0_65 ),
inference(constrained_superposition,[],[f995,f1085]) ).
thf(f1160,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| spl0_51
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f1150]) ).
thf(f1167,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_16
| spl0_51
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f1160,f219]) ).
thf(f1177,definition,
( spl0_70
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
thf(f1178,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f1177]) ).
thf(f1186,plain,
( spl0_70
| ~ spl0_16
| spl0_51
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f1167,f1084,f949,f218,f1177]) ).
thf(f1194,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_11
| ~ spl0_12 ),
inference(constrained_superposition,[],[f1059,f175]) ).
thf(f1197,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1194]) ).
thf(f1198,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1197,f554]) ).
thf(f1199,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_7
| ~ spl0_16 ),
inference(constrained_superposition,[],[f1134,f162]) ).
thf(f1200,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_16 ),
inference(constrained_superposition,[],[f1134,f175]) ).
thf(f1201,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_12
| ~ spl0_16 ),
inference(constrained_superposition,[],[f1134,f192]) ).
thf(f1202,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f1199]) ).
thf(f1203,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f1201]) ).
thf(f1204,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f1200]) ).
thf(f1205,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62 ),
inference(constrained_superposition,[],[f1198,f1041]) ).
thf(f1206,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25 ),
inference(constrained_superposition,[],[f1198,f77]) ).
thf(f1207,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f1206]) ).
thf(f1208,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f1205]) ).
thf(f1223,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25 ),
inference(constrained_superposition,[],[f1207,f175]) ).
thf(f1224,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25 ),
inference(duplicate_literal_removal,[],[f1223]) ).
thf(f1225,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f1224]) ).
thf(f1247,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f442,f795]) ).
thf(f1248,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f442,f136]) ).
thf(f1252,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f1247]) ).
thf(f1255,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_39 ),
inference(duplicate_literal_removal,[],[f1248]) ).
thf(f1256,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f1255]) ).
thf(f1260,definition,
( spl0_71
<=> ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f1261,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f1260]) ).
thf(f1264,definition,
( spl0_72
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
thf(f1265,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f1264]) ).
thf(f1266,plain,
( spl0_72
| spl0_37
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1256,f441,f434,f1264]) ).
thf(f1268,definition,
( spl0_73
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f1269,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f1268]) ).
thf(f1286,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_1 ),
inference(constrained_superposition,[],[f74,f36]) ).
thf(f1289,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_1 ),
inference(trivial_inequality_removal,[],[f1286]) ).
thf(f1338,definition,
( spl0_75
<=> ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
thf(f1339,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f1338]) ).
thf(f1352,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f542,f36]) ).
thf(f1355,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f1352]) ).
thf(f1356,plain,
( ( $true != $true )
| spl0_38
| ~ spl0_43 ),
inference(constrained_superposition,[],[f1042,f1355]) ).
thf(f1377,plain,
( $false
| spl0_38
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f1356]) ).
thf(f1378,plain,
( spl0_38
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f1377]) ).
thf(f1432,definition,
( spl0_79
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
thf(f1433,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_79 ),
inference(avatar_component_clause,[],[f1432]) ).
thf(f1435,definition,
( spl0_80
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f1436,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f1435]) ).
thf(f1439,definition,
( spl0_81
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
thf(f1440,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_81 ),
inference(avatar_component_clause,[],[f1439]) ).
thf(f1446,definition,
( spl0_83
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f1447,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f1446]) ).
thf(f1449,definition,
( spl0_84
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
thf(f1450,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_84 ),
inference(avatar_component_clause,[],[f1449]) ).
thf(f1453,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_81 ),
inference(constrained_superposition,[],[f1440,f31]) ).
thf(f1455,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_81 ),
inference(trivial_inequality_removal,[],[f1453]) ).
thf(f1458,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_81 ),
inference(forward_subsumption_resolution,[],[f1455,f27]) ).
thf(f1459,plain,
( $false
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| spl0_81 ),
inference(forward_subsumption_resolution,[],[f1458,f1070]) ).
thf(f1460,plain,
( ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| spl0_81 ),
inference(avatar_contradiction_clause,[],[f1459]) ).
thf(f1463,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_84 ),
inference(constrained_superposition,[],[f1450,f38]) ).
thf(f1467,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_84 ),
inference(trivial_inequality_removal,[],[f1463]) ).
thf(f1471,definition,
( spl0_85
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
thf(f1472,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f1471]) ).
thf(f1473,plain,
( spl0_85
| spl0_13
| spl0_84 ),
inference(avatar_split_clause,[],[f1467,f1449,f194,f1471]) ).
thf(f1584,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_33
| ~ spl0_62 ),
inference(constrained_superposition,[],[f1072,f421]) ).
thf(f1590,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f29,f421]) ).
thf(f1593,plain,
( ! [X2: $i,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 ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f1590]) ).
thf(f1600,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_33
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f1584]) ).
thf(f1969,definition,
( spl0_88
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
thf(f1970,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f1969]) ).
thf(f1974,definition,
( spl0_89
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
thf(f1975,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f1974]) ).
thf(f1977,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_85 ),
inference(avatar_component_clause,[],[f1471]) ).
thf(f1985,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_11
| spl0_85 ),
inference(constrained_superposition,[],[f1977,f175]) ).
thf(f1989,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_11
| spl0_85 ),
inference(trivial_inequality_removal,[],[f1985]) ).
thf(f1992,plain,
( $false
| ~ spl0_11
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f1989,f1070]) ).
thf(f1993,plain,
( ~ spl0_11
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| spl0_85 ),
inference(avatar_contradiction_clause,[],[f1992]) ).
thf(f1997,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_16
| ~ spl0_85 ),
inference(constrained_superposition,[],[f1134,f1472]) ).
thf(f2001,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f29,f1472]) ).
thf(f2007,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_16
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f1997]) ).
thf(f2008,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f2001]) ).
thf(f2245,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_33
| ~ spl0_52 ),
inference(constrained_superposition,[],[f1593,f953]) ).
thf(f2253,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_33
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f2245]) ).
thf(f2262,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16
| ~ spl0_33
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f2253,f1134]) ).
thf(f2268,definition,
( spl0_91
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
thf(f2269,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f2268]) ).
thf(f2270,plain,
( spl0_60
| spl0_91
| ~ spl0_16
| ~ spl0_33
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f2262,f952,f420,f218,f2268,f1022]) ).
thf(f2273,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| spl0_51
| ~ spl0_60 ),
inference(constrained_superposition,[],[f995,f1023]) ).
thf(f2274,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_25
| ~ spl0_28
| ~ spl0_60
| ~ spl0_62
| ~ spl0_65 ),
inference(constrained_superposition,[],[f1107,f1023]) ).
thf(f2294,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_25
| ~ spl0_28
| ~ spl0_60
| ~ spl0_62
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f2274]) ).
thf(f2295,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| spl0_51
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f2273]) ).
thf(f2301,plain,
( $false
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28
| ~ spl0_60
| ~ spl0_62
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f2294,f192]) ).
thf(f2302,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28
| ~ spl0_60
| ~ spl0_62
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f2301]) ).
thf(f2303,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_25
| spl0_51
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f2295,f311]) ).
thf(f2306,plain,
( spl0_27
| ~ spl0_25
| spl0_51
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f2303,f1022,f949,f310,f317]) ).
thf(f2370,definition,
( spl0_92
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
thf(f2371,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f2370]) ).
thf(f2372,plain,
( spl0_92
| spl0_65
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1252,f441,f1084,f2370]) ).
thf(f2373,plain,
( spl0_63
| ~ spl0_16
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f2007,f1471,f218,f1046]) ).
thf(f2375,definition,
( spl0_93
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
thf(f2376,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f2375]) ).
thf(f2377,plain,
( spl0_93
| spl0_60
| ~ spl0_33
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f1600,f1040,f420,f1022,f2375]) ).
thf(f2435,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_33
| ~ spl0_58 ),
inference(constrained_superposition,[],[f1593,f973]) ).
thf(f2442,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_33
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f2435]) ).
thf(f2453,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_33
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f2442,f162]) ).
thf(f2460,definition,
( spl0_94
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
thf(f2461,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f2460]) ).
thf(f2462,plain,
( spl0_94
| spl0_60
| ~ spl0_7
| ~ spl0_33
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f2453,f972,f420,f161,f1022,f2460]) ).
thf(f2479,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_79 ),
inference(constrained_superposition,[],[f1433,f31]) ).
thf(f2480,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_79 ),
inference(trivial_inequality_removal,[],[f2479]) ).
thf(f2499,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f976,f37]) ).
thf(f2506,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f2499]) ).
thf(f2510,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_25
| ~ spl0_28
| ~ spl0_59
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f2506,f1070]) ).
thf(f2511,plain,
( spl0_17
| ~ spl0_25
| ~ spl0_28
| ~ spl0_59
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f2510,f1040,f975,f337,f310,f221]) ).
thf(f3417,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_61 ),
inference(constrained_superposition,[],[f136,f1026]) ).
thf(f3576,definition,
( spl0_97
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
thf(f3577,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f3576]) ).
thf(f3579,definition,
( spl0_98
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
thf(f3580,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f3579]) ).
thf(f3586,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f3417,f30]) ).
thf(f3607,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f3586,f28]) ).
thf(f3608,plain,
~ spl0_61,
inference(avatar_contradiction_clause,[],[f3607]) ).
thf(f4744,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true != $true ) )
| spl0_51
| ~ spl0_54 ),
inference(constrained_superposition,[],[f995,f960]) ).
thf(f4763,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) )
| spl0_51
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f4744]) ).
thf(f4788,definition,
( spl0_107
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
thf(f4789,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f4788]) ).
thf(f4837,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f57,f195]) ).
thf(f5003,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f4837,f28]) ).
thf(f5011,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f5003,f30]) ).
thf(f5012,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f5011]) ).
thf(f5395,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) )
| ~ spl0_11
| spl0_51
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f4763,f175]) ).
thf(f5397,plain,
( spl0_107
| ~ spl0_11
| spl0_51
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f5395,f959,f949,f174,f4788]) ).
thf(f5401,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f222,f31]) ).
thf(f5402,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f5401]) ).
thf(f5411,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( z = X0 ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f976,f133]) ).
thf(f5413,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f976,f58]) ).
thf(f5415,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f976,f38]) ).
thf(f5416,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f976,f31]) ).
thf(f5417,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( z = X0 ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f5411]) ).
thf(f5418,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f5415]) ).
thf(f5419,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f5413]) ).
thf(f5422,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f5416]) ).
thf(f5603,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f5402,f36]) ).
thf(f5604,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f5402,f31]) ).
thf(f5605,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f5604]) ).
thf(f5606,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f5603]) ).
thf(f5609,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f29,f5605]) ).
thf(f5652,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f5609]) ).
thf(f6519,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( z = X0 ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f5422,f38]) ).
thf(f6522,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f6519]) ).
thf(f6638,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X1 ) ) )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f5418,f38]) ).
thf(f6639,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X1 ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X1 ) ) ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f5418,f31]) ).
thf(f6640,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X1 ) ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f6638]) ).
thf(f6643,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X1 ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X1 ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f6639]) ).
thf(f6667,definition,
( spl0_114
<=> ! [X1: $i] :
( ( $true
= ( r @ z @ X1 ) )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( z = X1 )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
thf(f6668,plain,
( ! [X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ X1 ) )
| ( z = X1 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f6667]) ).
thf(f8832,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f284,f796]) ).
thf(f8835,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f122,f796]) ).
thf(f8858,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f8832]) ).
thf(f8863,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f8835]) ).
thf(f8876,definition,
( spl0_124
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
thf(f8877,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f8876]) ).
thf(f8880,definition,
( spl0_125
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
thf(f8881,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f8880]) ).
thf(f8882,plain,
( spl0_125
| spl0_65 ),
inference(avatar_split_clause,[],[f8858,f1084,f8880]) ).
thf(f8884,definition,
( spl0_126
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
thf(f8885,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f8884]) ).
thf(f8886,plain,
( spl0_126
| spl0_60 ),
inference(avatar_split_clause,[],[f8863,f1022,f8884]) ).
thf(f8985,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $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 @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_126 ),
inference(constrained_superposition,[],[f8885,f796]) ).
thf(f8991,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_126 ),
inference(duplicate_literal_removal,[],[f8985]) ).
thf(f8992,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f8991]) ).
thf(f8998,definition,
( spl0_131
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
thf(f8999,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f8998]) ).
thf(f9001,definition,
( spl0_132
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
thf(f9002,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f9001]) ).
thf(f9003,plain,
( spl0_131
| spl0_132
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f8992,f8884,f9001,f8998]) ).
thf(f9005,definition,
( spl0_133
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
thf(f9006,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f9005]) ).
thf(f9009,definition,
( spl0_134
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
thf(f9010,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f9009]) ).
thf(f9047,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $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 @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_125 ),
inference(constrained_superposition,[],[f8881,f796]) ).
thf(f9057,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_125 ),
inference(duplicate_literal_removal,[],[f9047]) ).
thf(f9058,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_125 ),
inference(trivial_inequality_removal,[],[f9057]) ).
thf(f9060,definition,
( spl0_136
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
thf(f9061,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f9060]) ).
thf(f9068,definition,
( spl0_138
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
thf(f9069,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f9068]) ).
thf(f9070,plain,
( spl0_138
| spl0_132
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f9058,f8880,f9001,f9068]) ).
thf(f9532,definition,
( spl0_139
<=> ! [X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
thf(f9533,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f9532]) ).
thf(f10536,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_62 ),
inference(constrained_superposition,[],[f5652,f1041]) ).
thf(f10556,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f10536]) ).
thf(f10565,definition,
( spl0_146
<=> ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= X1 )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
thf(f10566,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X1 )
| ( z = X1 ) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f10565]) ).
thf(f10573,plain,
( spl0_146
| ~ spl0_17
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f10556,f1040,f221,f10565]) ).
thf(f10576,definition,
( spl0_148
<=> ! [X2: $i] :
( ( ( s @ z )
= X2 )
| ( $true
= ( r @ ( s @ z ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
thf(f10577,plain,
( ! [X2: $i] :
( ( $true
= ( r @ ( s @ z ) @ X2 ) )
| ( ( s @ z )
= X2 ) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f10576]) ).
thf(f12346,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( X1 = X2 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(constrained_superposition,[],[f866,f36]) ).
thf(f12355,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( X1 = X2 )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f866,f57]) ).
thf(f12361,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X2 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( X1 = X2 )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(duplicate_literal_removal,[],[f12346]) ).
thf(f12362,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X1 = X2 )
| ( $true
!= ( b @ X2 @ z ) ) ),
inference(trivial_inequality_removal,[],[f12361]) ).
thf(f12366,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( X1 = X2 )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f12355]) ).
thf(f12372,definition,
( spl0_155
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( X1 = X2 )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
thf(f12373,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( X1 = X2 ) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f12372]) ).
thf(f12377,definition,
( spl0_156
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
thf(f12378,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f12377]) ).
thf(f12380,definition,
( spl0_157
<=> ! [X2: $i,X1: $i] :
( ( $true
= ( r @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( X1 = X2 )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
thf(f12381,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( X1 = X2 ) )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f12380]) ).
thf(f12382,plain,
( spl0_156
| spl0_157 ),
inference(avatar_split_clause,[],[f12366,f12380,f12377]) ).
thf(f12403,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) ) )
| ~ spl0_155 ),
inference(extensionality_resolution,[],[f12373,f27]) ).
thf(f13130,definition,
( spl0_159
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X2 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
thf(f13131,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X2 @ z ) )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f13130]) ).
thf(f13144,definition,
( spl0_162
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X2 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
thf(f13145,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X2 @ z ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f13144]) ).
thf(f13173,definition,
( spl0_166
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
thf(f13174,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f13173]) ).
thf(f13184,definition,
( spl0_167
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
thf(f13185,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f13184]) ).
thf(f13303,definition,
( spl0_179
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
thf(f13304,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f13303]) ).
thf(f13321,definition,
( spl0_182
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
thf(f13322,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f13321]) ).
thf(f13350,definition,
( spl0_185
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
thf(f13351,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f13350]) ).
thf(f13423,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_156 ),
inference(constrained_superposition,[],[f688,f12378]) ).
thf(f13436,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_63
| ~ spl0_156 ),
inference(constrained_superposition,[],[f1047,f12378]) ).
thf(f13481,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_156 ),
inference(duplicate_literal_removal,[],[f13423]) ).
thf(f13482,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f13481]) ).
thf(f13505,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_63
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f13436]) ).
thf(f13549,plain,
( spl0_69
| ~ spl0_11
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f13482,f12377,f174,f1130]) ).
thf(f13553,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_25
| ~ spl0_63
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f13505,f311]) ).
thf(f13579,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_12
| ~ spl0_25
| ~ spl0_63
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f13553,f192]) ).
thf(f13594,definition,
( spl0_193
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
thf(f13595,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f13594]) ).
thf(f13598,plain,
( $false
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| ~ spl0_63
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f13579,f1070]) ).
thf(f13599,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| ~ spl0_63
| ~ spl0_156 ),
inference(avatar_contradiction_clause,[],[f13598]) ).
thf(f13622,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_167 ),
inference(constrained_superposition,[],[f13185,f192]) ).
thf(f13647,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_12
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f13622]) ).
thf(f13663,plain,
( $false
| ~ spl0_12
| ~ spl0_25
| ~ spl0_167 ),
inference(forward_subsumption_resolution,[],[f13647,f311]) ).
thf(f13664,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_167 ),
inference(avatar_contradiction_clause,[],[f13663]) ).
thf(f13848,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) ) )
| ~ spl0_157 ),
inference(extensionality_resolution,[],[f12381,f27]) ).
thf(f14471,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ ( s @ z ) ) )
| spl0_66 ),
inference(avatar_component_clause,[],[f1087]) ).
thf(f14483,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ z ) )
| spl0_61 ),
inference(avatar_component_clause,[],[f1025]) ).
thf(f14609,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ X1 ) ) ) )
| spl0_61 ),
inference(extensionality_resolution,[],[f866,f14483]) ).
thf(f14610,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| spl0_61 ),
inference(extensionality_resolution,[],[f866,f14483]) ).
thf(f14613,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_61 ),
inference(extensionality_resolution,[],[f133,f14483]) ).
thf(f14614,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_61 ),
inference(extensionality_resolution,[],[f133,f14483]) ).
thf(f14622,definition,
( spl0_209
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f14623,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ X1 ) ) ) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f14622]) ).
thf(f14624,plain,
( spl0_209
| ~ spl0_81
| spl0_60
| spl0_61 ),
inference(avatar_split_clause,[],[f14609,f1025,f1022,f1439,f14622]) ).
thf(f14626,definition,
( spl0_210
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
thf(f14627,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f14626]) ).
thf(f14629,definition,
( spl0_211
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).
thf(f14630,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f14629]) ).
thf(f14631,plain,
( spl0_210
| spl0_211
| spl0_61 ),
inference(avatar_split_clause,[],[f14614,f1025,f14629,f14626]) ).
thf(f14633,definition,
( spl0_212
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).
thf(f14634,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f14633]) ).
thf(f14636,definition,
( spl0_213
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
thf(f14637,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f14636]) ).
thf(f14638,plain,
( spl0_212
| spl0_213
| spl0_61 ),
inference(avatar_split_clause,[],[f14613,f1025,f14636,f14633]) ).
thf(f14647,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_66 ),
inference(extensionality_resolution,[],[f133,f14471]) ).
thf(f14648,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_66 ),
inference(extensionality_resolution,[],[f133,f14471]) ).
thf(f14649,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_66 ),
inference(extensionality_resolution,[],[f58,f14471]) ).
thf(f14656,definition,
( spl0_214
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
thf(f14657,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ X1 ) ) ) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f14656]) ).
thf(f14660,definition,
( spl0_215
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).
thf(f14661,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f14660]) ).
thf(f14663,definition,
( spl0_216
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
thf(f14664,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f14663]) ).
thf(f14667,definition,
( spl0_217
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).
thf(f14668,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f14667]) ).
thf(f14670,definition,
( spl0_218
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).
thf(f14671,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f14670]) ).
thf(f14672,plain,
( spl0_217
| spl0_218
| spl0_66 ),
inference(avatar_split_clause,[],[f14647,f1087,f14670,f14667]) ).
thf(f14674,definition,
( spl0_219
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
thf(f14675,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f14674]) ).
thf(f14677,definition,
( spl0_220
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).
thf(f14678,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f14677]) ).
thf(f14679,plain,
( spl0_219
| spl0_220
| spl0_66 ),
inference(avatar_split_clause,[],[f14649,f1087,f14677,f14674]) ).
thf(f14681,definition,
( spl0_221
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
thf(f14682,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f14681]) ).
thf(f14684,definition,
( spl0_222
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
thf(f14685,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f14684]) ).
thf(f14686,plain,
( spl0_221
| spl0_222
| spl0_66 ),
inference(avatar_split_clause,[],[f14648,f1087,f14684,f14681]) ).
thf(f14715,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_215 ),
inference(constrained_superposition,[],[f1202,f14661]) ).
thf(f14724,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_215 ),
inference(constrained_superposition,[],[f466,f14661]) ).
thf(f14770,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f14715]) ).
thf(f14790,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f14724]) ).
thf(f14795,definition,
( spl0_223
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f14796,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f14795]) ).
thf(f14798,definition,
( spl0_224
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
thf(f14799,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_224 ),
inference(avatar_component_clause,[],[f14798]) ).
thf(f14828,definition,
( spl0_225
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).
thf(f14829,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f14828]) ).
thf(f14831,definition,
( spl0_226
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).
thf(f14832,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f14831]) ).
thf(f14835,definition,
( spl0_227
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f14836,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f14835]) ).
thf(f14846,definition,
( spl0_229
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).
thf(f14847,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f14846]) ).
thf(f14854,definition,
( spl0_231
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).
thf(f14855,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f14854]) ).
thf(f14869,definition,
( spl0_232
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
thf(f14870,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f14869]) ).
thf(f14872,definition,
( spl0_233
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).
thf(f14873,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f14872]) ).
thf(f14878,definition,
( spl0_234
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).
thf(f14879,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_234 ),
inference(avatar_component_clause,[],[f14878]) ).
thf(f14886,definition,
( spl0_235
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
thf(f14887,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f14886]) ).
thf(f14889,definition,
( spl0_236
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).
thf(f14890,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_236 ),
inference(avatar_component_clause,[],[f14889]) ).
thf(f14902,definition,
( spl0_237
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).
thf(f14903,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f14902]) ).
thf(f14904,plain,
( spl0_236
| spl0_237
| ~ spl0_2
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f14790,f14660,f76,f14902,f14889]) ).
thf(f14917,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_60 ),
inference(avatar_component_clause,[],[f1022]) ).
thf(f14919,definition,
( spl0_238
<=> ! [X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).
thf(f14920,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f14919]) ).
thf(f14943,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_236 ),
inference(avatar_component_clause,[],[f14889]) ).
thf(f14945,definition,
( spl0_240
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).
thf(f14946,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f14945]) ).
thf(f14950,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_240 ),
inference(avatar_component_clause,[],[f14945]) ).
thf(f15018,definition,
( spl0_242
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).
thf(f15019,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f15018]) ).
thf(f15026,definition,
( spl0_244
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).
thf(f15027,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f15026]) ).
thf(f15028,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_98 ),
inference(avatar_component_clause,[],[f3579]) ).
thf(f15038,definition,
( spl0_247
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).
thf(f15039,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_247 ),
inference(avatar_component_clause,[],[f15038]) ).
thf(f15043,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f14878]) ).
thf(f15044,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_242 ),
inference(avatar_component_clause,[],[f15018]) ).
thf(f15047,plain,
( spl0_242
| ~ spl0_240
| ~ spl0_234
| ~ spl0_7
| ~ spl0_16
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f14770,f14660,f218,f161,f14878,f14945,f15018]) ).
thf(f15089,definition,
( spl0_249
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
thf(f15090,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f15089]) ).
thf(f15092,definition,
( spl0_250
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( X1 = X2 )
| ( $true
= ( r @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_250])],[avatar_definition]) ).
thf(f15093,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ X2 @ X1 ) )
| ( X1 = X2 ) )
| ~ spl0_250 ),
inference(avatar_component_clause,[],[f15092]) ).
thf(f15094,plain,
( spl0_249
| spl0_250 ),
inference(avatar_split_clause,[],[f12362,f15092,f15089]) ).
thf(f15098,definition,
( spl0_251
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).
thf(f15099,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) ) )
| ~ spl0_251 ),
inference(avatar_component_clause,[],[f15098]) ).
thf(f15100,plain,
( spl0_251
| ~ spl0_9
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f12403,f12372,f168,f15098]) ).
thf(f15120,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65
| ~ spl0_85 ),
inference(constrained_superposition,[],[f2008,f1085]) ).
thf(f15125,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_65 ),
inference(constrained_superposition,[],[f688,f1085]) ).
thf(f15155,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_65 ),
inference(duplicate_literal_removal,[],[f15125]) ).
thf(f15156,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_11
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f15155]) ).
thf(f15157,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_65
| ~ spl0_85 ),
inference(duplicate_literal_removal,[],[f15120]) ).
thf(f15158,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_65
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f15157]) ).
thf(f15168,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f15156,f1070]) ).
thf(f15169,plain,
( spl0_166
| ~ spl0_65
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f15158,f1471,f1084,f13173]) ).
thf(f15176,plain,
( spl0_166
| ~ spl0_11
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f15168,f1084,f1040,f337,f310,f174,f13173]) ).
thf(f15255,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_59
| ~ spl0_216 ),
inference(constrained_superposition,[],[f6640,f14664]) ).
thf(f15283,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_59
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f15255]) ).
thf(f15297,definition,
( spl0_253
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).
thf(f15298,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f15297]) ).
thf(f15300,definition,
( spl0_254
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_254])],[avatar_definition]) ).
thf(f15301,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f15300]) ).
thf(f15306,definition,
( spl0_255
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).
thf(f15307,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_255 ),
inference(avatar_component_clause,[],[f15306]) ).
thf(f15309,definition,
( spl0_256
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).
thf(f15310,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_256 ),
inference(avatar_component_clause,[],[f15309]) ).
thf(f15320,definition,
( spl0_259
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_259])],[avatar_definition]) ).
thf(f15321,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_259 ),
inference(avatar_component_clause,[],[f15320]) ).
thf(f15324,definition,
( spl0_260
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).
thf(f15325,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_260 ),
inference(avatar_component_clause,[],[f15324]) ).
thf(f15327,definition,
( spl0_261
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).
thf(f15328,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f15327]) ).
thf(f15330,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_59
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f15283,f27]) ).
thf(f15332,definition,
( spl0_262
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).
thf(f15333,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f15332]) ).
thf(f15335,definition,
( spl0_263
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).
thf(f15336,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_263 ),
inference(avatar_component_clause,[],[f15335]) ).
thf(f15339,definition,
( spl0_264
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).
thf(f15340,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f15339]) ).
thf(f15349,definition,
( spl0_266
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
thf(f15350,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f15349]) ).
thf(f15352,definition,
( spl0_267
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_267])],[avatar_definition]) ).
thf(f15353,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_267 ),
inference(avatar_component_clause,[],[f15352]) ).
thf(f15358,definition,
( spl0_268
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).
thf(f15359,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f15358]) ).
thf(f15361,definition,
( spl0_269
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
thf(f15362,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f15361]) ).
thf(f15367,definition,
( spl0_270
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).
thf(f15368,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_270 ),
inference(avatar_component_clause,[],[f15367]) ).
thf(f15370,definition,
( spl0_271
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
thf(f15371,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f15370]) ).
thf(f15373,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_59
| spl0_66
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f15330,f14471]) ).
thf(f15376,definition,
( spl0_272
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
thf(f15377,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_272 ),
inference(avatar_component_clause,[],[f15376]) ).
thf(f15379,definition,
( spl0_273
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_273])],[avatar_definition]) ).
thf(f15380,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_273 ),
inference(avatar_component_clause,[],[f15379]) ).
thf(f15382,plain,
( spl0_259
| spl0_264
| ~ spl0_59
| spl0_66
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f15373,f14663,f1087,f975,f15339,f15320]) ).
thf(f15383,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_260 ),
inference(constrained_superposition,[],[f15325,f36]) ).
thf(f15385,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_260 ),
inference(trivial_inequality_removal,[],[f15383]) ).
thf(f15387,plain,
( spl0_267
| spl0_260 ),
inference(avatar_split_clause,[],[f15385,f15324,f15352]) ).
thf(f15395,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_262 ),
inference(constrained_superposition,[],[f1202,f15333]) ).
thf(f15396,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_262 ),
inference(constrained_superposition,[],[f1204,f15333]) ).
thf(f15415,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f15396]) ).
thf(f15423,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f15395]) ).
thf(f15431,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_25
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f15415,f311]) ).
thf(f15436,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_12
| ~ spl0_16
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f15423,f192]) ).
thf(f15442,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_25
| spl0_234
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f15431,f14879]) ).
thf(f15446,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f15436,f311]) ).
thf(f15450,plain,
( $false
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| spl0_234
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f15442,f192]) ).
thf(f15451,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| spl0_234
| ~ spl0_262 ),
inference(avatar_contradiction_clause,[],[f15450]) ).
thf(f15453,plain,
( spl0_98
| ~ spl0_7
| ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f15446,f15332,f310,f218,f191,f161,f3579]) ).
thf(f15455,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_270 ),
inference(constrained_superposition,[],[f15368,f36]) ).
thf(f15457,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_270 ),
inference(trivial_inequality_removal,[],[f15455]) ).
thf(f15459,plain,
( spl0_232
| spl0_270 ),
inference(avatar_split_clause,[],[f15457,f15367,f14869]) ).
thf(f15464,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_11
| ~ spl0_253 ),
inference(constrained_superposition,[],[f688,f15298]) ).
thf(f15479,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_253 ),
inference(duplicate_literal_removal,[],[f15464]) ).
thf(f15480,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f15479]) ).
thf(f15499,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_11
| spl0_234
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f15480,f14879]) ).
thf(f15501,definition,
( spl0_274
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).
thf(f15502,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f15501]) ).
thf(f15506,plain,
( spl0_274
| ~ spl0_11
| spl0_234
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f15499,f15297,f14878,f174,f15501]) ).
thf(f15512,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_255 ),
inference(constrained_superposition,[],[f15307,f31]) ).
thf(f15513,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_255 ),
inference(trivial_inequality_removal,[],[f15512]) ).
thf(f15516,plain,
( spl0_229
| spl0_264
| spl0_255 ),
inference(avatar_split_clause,[],[f15513,f15306,f15339,f14846]) ).
thf(f15573,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_259 ),
inference(constrained_superposition,[],[f1208,f15321]) ).
thf(f15576,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_259 ),
inference(constrained_superposition,[],[f688,f15321]) ).
thf(f15595,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f15573]) ).
thf(f15601,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f15576]) ).
thf(f15609,plain,
( ~ spl0_98
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f15595,f15320,f1040,f310,f191,f174,f3579]) ).
thf(f15610,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| spl0_234
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f15601,f14879]) ).
thf(f15612,definition,
( spl0_275
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
thf(f15613,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f15612]) ).
thf(f15618,plain,
( spl0_275
| ~ spl0_11
| spl0_234
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f15610,f15320,f14878,f174,f15612]) ).
thf(f15619,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_2
| spl0_98 ),
inference(constrained_superposition,[],[f15028,f77]) ).
thf(f15622,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_98 ),
inference(trivial_inequality_removal,[],[f15619]) ).
thf(f15625,plain,
( $false
| ~ spl0_2
| spl0_98
| spl0_234 ),
inference(forward_subsumption_resolution,[],[f15622,f14879]) ).
thf(f15626,plain,
( ~ spl0_2
| spl0_98
| spl0_234 ),
inference(avatar_contradiction_clause,[],[f15625]) ).
thf(f15673,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f136,f1088]) ).
thf(f15887,definition,
( spl0_278
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
thf(f15888,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_278 ),
inference(avatar_component_clause,[],[f15887]) ).
thf(f15891,definition,
( spl0_279
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).
thf(f15892,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_279 ),
inference(avatar_component_clause,[],[f15891]) ).
thf(f15906,definition,
( spl0_280
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_280])],[avatar_definition]) ).
thf(f15907,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_280 ),
inference(avatar_component_clause,[],[f15906]) ).
thf(f15917,definition,
( spl0_282
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_282])],[avatar_definition]) ).
thf(f15918,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_282 ),
inference(avatar_component_clause,[],[f15917]) ).
thf(f15934,definition,
( spl0_283
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).
thf(f15935,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_283 ),
inference(avatar_component_clause,[],[f15934]) ).
thf(f15942,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f15673,f28]) ).
thf(f15947,definition,
( spl0_284
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).
thf(f15948,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_284 ),
inference(avatar_component_clause,[],[f15947]) ).
thf(f15950,definition,
( spl0_285
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
thf(f15951,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_285 ),
inference(avatar_component_clause,[],[f15950]) ).
thf(f15961,definition,
( spl0_286
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).
thf(f15962,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_286 ),
inference(avatar_component_clause,[],[f15961]) ).
thf(f15989,plain,
( $false
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f15942,f30]) ).
thf(f15990,plain,
~ spl0_66,
inference(avatar_contradiction_clause,[],[f15989]) ).
thf(f16002,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_66
| ~ spl0_157 ),
inference(extensionality_resolution,[],[f12381,f14471]) ).
thf(f16003,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_66
| ~ spl0_157 ),
inference(extensionality_resolution,[],[f12381,f14471]) ).
thf(f16004,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| spl0_66 ),
inference(extensionality_resolution,[],[f866,f14471]) ).
thf(f16005,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| spl0_66 ),
inference(extensionality_resolution,[],[f866,f14471]) ).
thf(f16008,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_66 ),
inference(extensionality_resolution,[],[f133,f14471]) ).
thf(f16009,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_66 ),
inference(extensionality_resolution,[],[f133,f14471]) ).
thf(f16010,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_66 ),
inference(extensionality_resolution,[],[f58,f14471]) ).
thf(f16011,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_66 ),
inference(extensionality_resolution,[],[f58,f14471]) ).
thf(f16016,plain,
( spl0_221
| spl0_222
| spl0_66 ),
inference(avatar_split_clause,[],[f16009,f1087,f14684,f14681]) ).
thf(f16017,plain,
( spl0_65
| ~ spl0_81
| spl0_214
| spl0_66 ),
inference(avatar_split_clause,[],[f16004,f1087,f14656,f1439,f1084]) ).
thf(f16018,plain,
( spl0_215
| spl0_216
| spl0_66 ),
inference(avatar_split_clause,[],[f16011,f1087,f14663,f14660]) ).
thf(f16019,plain,
( spl0_219
| spl0_220
| spl0_66 ),
inference(avatar_split_clause,[],[f16010,f1087,f14677,f14674]) ).
thf(f16020,plain,
( spl0_217
| spl0_218
| spl0_66 ),
inference(avatar_split_clause,[],[f16008,f1087,f14670,f14667]) ).
thf(f16119,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_273 ),
inference(constrained_superposition,[],[f15380,f58]) ).
thf(f16120,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_273 ),
inference(constrained_superposition,[],[f15380,f38]) ).
thf(f16122,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_273 ),
inference(trivial_inequality_removal,[],[f16120]) ).
thf(f16124,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_273 ),
inference(trivial_inequality_removal,[],[f16119]) ).
thf(f16127,plain,
( spl0_231
| spl0_268
| spl0_273 ),
inference(avatar_split_clause,[],[f16122,f15379,f15358,f14854]) ).
thf(f16129,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_61
| spl0_273 ),
inference(forward_subsumption_resolution,[],[f16124,f14483]) ).
thf(f16132,definition,
( spl0_287
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
thf(f16133,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f16132]) ).
thf(f16135,plain,
( spl0_268
| spl0_61
| spl0_273 ),
inference(avatar_split_clause,[],[f16129,f15379,f1025,f15358]) ).
thf(f16136,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_268 ),
inference(constrained_superposition,[],[f1208,f15359]) ).
thf(f16140,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_268 ),
inference(constrained_superposition,[],[f699,f15359]) ).
thf(f16161,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_7
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f16140]) ).
thf(f16168,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f16136]) ).
thf(f16173,definition,
( spl0_288
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).
thf(f16174,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_288 ),
inference(avatar_component_clause,[],[f16173]) ).
thf(f16175,plain,
( spl0_288
| spl0_242
| ~ spl0_7
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f16161,f15358,f161,f15018,f16173]) ).
thf(f16176,plain,
( ~ spl0_242
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f16168,f15358,f1040,f310,f191,f174,f15018]) ).
thf(f16239,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_59
| ~ spl0_219 ),
inference(constrained_superposition,[],[f5417,f14675]) ).
thf(f16242,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_59
| ~ spl0_219 ),
inference(constrained_superposition,[],[f5419,f14675]) ).
thf(f16267,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_59
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f16242]) ).
thf(f16277,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_59
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f16239]) ).
thf(f16285,definition,
( spl0_289
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).
thf(f16286,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f16285]) ).
thf(f16290,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_59
| spl0_61
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f16267,f14483]) ).
thf(f16293,definition,
( spl0_290
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).
thf(f16294,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f16293]) ).
thf(f16297,definition,
( spl0_291
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).
thf(f16298,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f16297]) ).
thf(f16301,definition,
( spl0_292
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
thf(f16302,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_292 ),
inference(avatar_component_clause,[],[f16301]) ).
thf(f16304,definition,
( spl0_293
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).
thf(f16305,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f16304]) ).
thf(f16307,definition,
( spl0_294
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
thf(f16308,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f16307]) ).
thf(f16311,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_59
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f16277,f27]) ).
thf(f16313,definition,
( spl0_295
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).
thf(f16314,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_295 ),
inference(avatar_component_clause,[],[f16313]) ).
thf(f16322,definition,
( spl0_297
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_297])],[avatar_definition]) ).
thf(f16323,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f16322]) ).
thf(f16327,plain,
( spl0_268
| ~ spl0_285
| ~ spl0_59
| spl0_61
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f16290,f14674,f1025,f975,f15950,f15358]) ).
thf(f16329,plain,
( ~ spl0_285
| spl0_268
| ~ spl0_59
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f16311,f14674,f975,f15358,f15950]) ).
thf(f16362,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_231 ),
inference(constrained_superposition,[],[f796,f14855]) ).
thf(f16593,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[],[f16362,f30]) ).
thf(f16635,plain,
( $false
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[],[f16593,f28]) ).
thf(f16636,plain,
~ spl0_231,
inference(avatar_contradiction_clause,[],[f16635]) ).
thf(f16662,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_285 ),
inference(constrained_superposition,[],[f15951,f31]) ).
thf(f16664,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_285 ),
inference(trivial_inequality_removal,[],[f16662]) ).
thf(f16667,plain,
( spl0_262
| spl0_226
| spl0_285 ),
inference(avatar_split_clause,[],[f16664,f15950,f14831,f15332]) ).
thf(f16672,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f796,f16133]) ).
thf(f16906,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f16672,f28]) ).
thf(f16935,plain,
( $false
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f16906,f30]) ).
thf(f16936,plain,
~ spl0_287,
inference(avatar_contradiction_clause,[],[f16935]) ).
thf(f16940,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_70
| ~ spl0_227 ),
inference(constrained_superposition,[],[f1178,f14836]) ).
thf(f16959,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_70
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f16940]) ).
thf(f16978,definition,
( spl0_302
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).
thf(f16979,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_302 ),
inference(avatar_component_clause,[],[f16978]) ).
thf(f16981,plain,
( $false
| ~ spl0_70
| ~ spl0_227
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f16959,f14890]) ).
thf(f16982,plain,
( ~ spl0_70
| ~ spl0_227
| ~ spl0_236 ),
inference(avatar_contradiction_clause,[],[f16981]) ).
thf(f16985,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_292 ),
inference(constrained_superposition,[],[f16302,f796]) ).
thf(f16987,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_292 ),
inference(constrained_superposition,[],[f16302,f58]) ).
thf(f16990,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_292 ),
inference(trivial_inequality_removal,[],[f16987]) ).
thf(f16993,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_292 ),
inference(trivial_inequality_removal,[],[f16985]) ).
thf(f16995,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_216
| ~ spl0_295 ),
inference(constrained_superposition,[],[f16314,f14664]) ).
thf(f17008,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_216
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f16995]) ).
thf(f17013,plain,
( ~ spl0_270
| ~ spl0_216
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f17008,f16313,f14663,f15367]) ).
thf(f17019,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_220 ),
inference(constrained_superposition,[],[f1202,f14678]) ).
thf(f17046,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f17019]) ).
thf(f17064,definition,
( spl0_303
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).
thf(f17065,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f17064]) ).
thf(f17075,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_220
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f17046,f14890]) ).
thf(f17077,definition,
( spl0_304
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).
thf(f17078,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_304 ),
inference(avatar_component_clause,[],[f17077]) ).
thf(f17080,definition,
( spl0_305
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
thf(f17081,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f17080]) ).
thf(f17084,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_16
| spl0_98
| ~ spl0_220
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f17075,f15028]) ).
thf(f17100,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| spl0_98
| ~ spl0_220
| ~ spl0_236 ),
inference(constrained_superposition,[],[f17084,f162]) ).
thf(f17105,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| spl0_98
| ~ spl0_220
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f17100]) ).
thf(f17107,plain,
( spl0_242
| ~ spl0_7
| ~ spl0_16
| spl0_98
| ~ spl0_220
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f17105,f14889,f14677,f3579,f218,f161,f15018]) ).
thf(f17122,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_244 ),
inference(avatar_component_clause,[],[f15026]) ).
thf(f17126,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_7
| ~ spl0_303 ),
inference(constrained_superposition,[],[f17065,f162]) ).
thf(f17128,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_220
| ~ spl0_303 ),
inference(constrained_superposition,[],[f17065,f14678]) ).
thf(f17134,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_7
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f17126]) ).
thf(f17139,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_220
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f17128]) ).
thf(f17142,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f17134,f219]) ).
thf(f17146,plain,
( $false
| ~ spl0_220
| ~ spl0_234
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f17139,f15043]) ).
thf(f17147,plain,
( ~ spl0_220
| ~ spl0_234
| ~ spl0_303 ),
inference(avatar_contradiction_clause,[],[f17146]) ).
thf(f17151,plain,
( spl0_242
| ~ spl0_7
| ~ spl0_16
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f17142,f17064,f218,f161,f15018]) ).
thf(f17164,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_211 ),
inference(constrained_superposition,[],[f699,f14630]) ).
thf(f17165,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_211 ),
inference(constrained_superposition,[],[f1202,f14630]) ).
thf(f17179,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f17165]) ).
thf(f17190,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f17164]) ).
thf(f17193,definition,
( spl0_308
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).
thf(f17194,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_308 ),
inference(avatar_component_clause,[],[f17193]) ).
thf(f17196,definition,
( spl0_309
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).
thf(f17197,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f17196]) ).
thf(f17200,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_211
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f17179,f14946]) ).
thf(f17207,definition,
( spl0_310
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).
thf(f17208,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_310 ),
inference(avatar_component_clause,[],[f17207]) ).
thf(f17211,definition,
( spl0_311
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition]) ).
thf(f17212,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_311 ),
inference(avatar_component_clause,[],[f17211]) ).
thf(f17213,plain,
( spl0_311
| spl0_310
| ~ spl0_7
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f17190,f14629,f161,f17207,f17211]) ).
thf(f17216,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_211
| ~ spl0_234
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f17200,f15043]) ).
thf(f17218,definition,
( spl0_312
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition]) ).
thf(f17219,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f17218]) ).
thf(f17229,plain,
( spl0_311
| ~ spl0_7
| ~ spl0_16
| ~ spl0_211
| ~ spl0_234
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f17216,f14945,f14878,f14629,f218,f161,f17211]) ).
thf(f17283,definition,
( spl0_314
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).
thf(f17284,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f17283]) ).
thf(f17304,definition,
( spl0_319
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_319])],[avatar_definition]) ).
thf(f17305,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_319 ),
inference(avatar_component_clause,[],[f17304]) ).
thf(f17308,definition,
( spl0_320
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_320])],[avatar_definition]) ).
thf(f17309,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_320 ),
inference(avatar_component_clause,[],[f17308]) ).
thf(f17311,definition,
( spl0_321
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_321])],[avatar_definition]) ).
thf(f17312,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_321 ),
inference(avatar_component_clause,[],[f17311]) ).
thf(f17315,definition,
( spl0_322
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_322])],[avatar_definition]) ).
thf(f17316,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_322 ),
inference(avatar_component_clause,[],[f17315]) ).
thf(f17318,definition,
( spl0_323
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_323])],[avatar_definition]) ).
thf(f17319,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_323 ),
inference(avatar_component_clause,[],[f17318]) ).
thf(f17333,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_267 ),
inference(constrained_superposition,[],[f29,f15353]) ).
thf(f17344,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f17333]) ).
thf(f17356,definition,
( spl0_324
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).
thf(f17357,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f17356]) ).
thf(f17363,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_324 ),
inference(constrained_superposition,[],[f688,f17357]) ).
thf(f17378,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_11
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f17363]) ).
thf(f17397,definition,
( spl0_325
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).
thf(f17398,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f17397]) ).
thf(f17399,plain,
( spl0_308
| spl0_325
| ~ spl0_11
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f17378,f17356,f174,f17397,f17193]) ).
thf(f17428,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| spl0_240 ),
inference(constrained_superposition,[],[f14950,f162]) ).
thf(f17433,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| spl0_240 ),
inference(trivial_inequality_removal,[],[f17428]) ).
thf(f17435,plain,
( $false
| ~ spl0_7
| spl0_98
| spl0_240 ),
inference(forward_subsumption_resolution,[],[f17433,f15028]) ).
thf(f17436,plain,
( ~ spl0_7
| spl0_98
| spl0_240 ),
inference(avatar_contradiction_clause,[],[f17435]) ).
thf(f17461,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_304 ),
inference(constrained_superposition,[],[f17078,f136]) ).
thf(f17463,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_304 ),
inference(constrained_superposition,[],[f17078,f38]) ).
thf(f17465,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_304 ),
inference(trivial_inequality_removal,[],[f17461]) ).
thf(f17467,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_304 ),
inference(trivial_inequality_removal,[],[f17463]) ).
thf(f17469,plain,
( spl0_227
| spl0_304 ),
inference(avatar_split_clause,[],[f17465,f17077,f14835]) ).
thf(f17471,plain,
( spl0_226
| spl0_227
| spl0_304 ),
inference(avatar_split_clause,[],[f17467,f17077,f14835,f14831]) ).
thf(f17475,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_227 ),
inference(constrained_superposition,[],[f688,f14836]) ).
thf(f17476,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_227 ),
inference(constrained_superposition,[],[f699,f14836]) ).
thf(f17493,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_7
| ~ spl0_227 ),
inference(duplicate_literal_removal,[],[f17476]) ).
thf(f17494,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f17493]) ).
thf(f17505,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_227 ),
inference(duplicate_literal_removal,[],[f17475]) ).
thf(f17506,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f17505]) ).
thf(f17509,plain,
( spl0_242
| spl0_302
| ~ spl0_7
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f17494,f14835,f161,f16978,f15018]) ).
thf(f17512,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_227
| spl0_236 ),
inference(forward_subsumption_resolution,[],[f17506,f14943]) ).
thf(f17515,plain,
( spl0_302
| ~ spl0_11
| ~ spl0_227
| spl0_236 ),
inference(avatar_split_clause,[],[f17512,f14889,f14835,f174,f16978]) ).
thf(f17522,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_25
| ~ spl0_28
| ~ spl0_311 ),
inference(constrained_superposition,[],[f608,f17212]) ).
thf(f17531,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_25
| ~ spl0_28
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f17522]) ).
thf(f17540,plain,
( $false
| ~ spl0_25
| ~ spl0_28
| ~ spl0_308
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[],[f17531,f17194]) ).
thf(f17541,plain,
( ~ spl0_25
| ~ spl0_28
| ~ spl0_308
| ~ spl0_311 ),
inference(avatar_contradiction_clause,[],[f17540]) ).
thf(f17559,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_225
| ~ spl0_240 ),
inference(constrained_superposition,[],[f14829,f14946]) ).
thf(f17561,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_7
| ~ spl0_225 ),
inference(constrained_superposition,[],[f14829,f162]) ).
thf(f17567,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f17561]) ).
thf(f17574,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_225
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f17559]) ).
thf(f17576,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f17567,f219]) ).
thf(f17579,plain,
( $false
| ~ spl0_16
| ~ spl0_225
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f17574,f219]) ).
thf(f17580,plain,
( ~ spl0_16
| ~ spl0_225
| ~ spl0_240 ),
inference(avatar_contradiction_clause,[],[f17579]) ).
thf(f17581,plain,
( $false
| ~ spl0_7
| ~ spl0_16
| spl0_98
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f17576,f15028]) ).
thf(f17582,plain,
( ~ spl0_7
| ~ spl0_16
| spl0_98
| ~ spl0_225 ),
inference(avatar_contradiction_clause,[],[f17581]) ).
thf(f17610,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_59
| ~ spl0_210 ),
inference(constrained_superposition,[],[f6640,f14627]) ).
thf(f17612,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f49,f14627]) ).
thf(f17614,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_126
| ~ spl0_210 ),
inference(constrained_superposition,[],[f8885,f14627]) ).
thf(f17625,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_59
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f17610]) ).
thf(f17628,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f17612]) ).
thf(f17638,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_126
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f17614]) ).
thf(f17652,plain,
( spl0_319
| spl0_269
| ~ spl0_126
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f17638,f14626,f8884,f15361,f17304]) ).
thf(f17854,definition,
( spl0_335
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_335])],[avatar_definition]) ).
thf(f17855,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_335 ),
inference(avatar_component_clause,[],[f17854]) ).
thf(f17864,definition,
( spl0_337
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_337])],[avatar_definition]) ).
thf(f17865,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_337 ),
inference(avatar_component_clause,[],[f17864]) ).
thf(f17868,definition,
( spl0_338
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_338])],[avatar_definition]) ).
thf(f17869,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_338 ),
inference(avatar_component_clause,[],[f17868]) ).
thf(f17872,definition,
( spl0_339
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_339])],[avatar_definition]) ).
thf(f17873,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f17872]) ).
thf(f17875,definition,
( spl0_340
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_340])],[avatar_definition]) ).
thf(f17876,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_340 ),
inference(avatar_component_clause,[],[f17875]) ).
thf(f17879,definition,
( spl0_341
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_341])],[avatar_definition]) ).
thf(f17880,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_341 ),
inference(avatar_component_clause,[],[f17879]) ).
thf(f17898,definition,
( spl0_345
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_345])],[avatar_definition]) ).
thf(f17899,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_345 ),
inference(avatar_component_clause,[],[f17898]) ).
thf(f18042,definition,
( spl0_346
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).
thf(f18043,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_346 ),
inference(avatar_component_clause,[],[f18042]) ).
thf(f18052,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_308 ),
inference(avatar_component_clause,[],[f17193]) ).
thf(f18054,definition,
( spl0_347
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).
thf(f18055,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_347 ),
inference(avatar_component_clause,[],[f18054]) ).
thf(f18103,definition,
( spl0_348
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_348])],[avatar_definition]) ).
thf(f18104,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_348 ),
inference(avatar_component_clause,[],[f18103]) ).
thf(f18186,definition,
( spl0_351
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_351])],[avatar_definition]) ).
thf(f18187,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_351 ),
inference(avatar_component_clause,[],[f18186]) ).
thf(f18191,definition,
( spl0_352
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_352])],[avatar_definition]) ).
thf(f18192,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_352 ),
inference(avatar_component_clause,[],[f18191]) ).
thf(f18199,definition,
( spl0_354
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_354])],[avatar_definition]) ).
thf(f18200,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_354 ),
inference(avatar_component_clause,[],[f18199]) ).
thf(f18281,definition,
( spl0_355
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_355])],[avatar_definition]) ).
thf(f18282,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_355 ),
inference(avatar_component_clause,[],[f18281]) ).
thf(f18284,definition,
( spl0_356
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_356])],[avatar_definition]) ).
thf(f18285,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_356 ),
inference(avatar_component_clause,[],[f18284]) ).
thf(f18288,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_355 ),
inference(constrained_superposition,[],[f18282,f136]) ).
thf(f18290,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_355 ),
inference(constrained_superposition,[],[f18282,f38]) ).
thf(f18293,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_355 ),
inference(trivial_inequality_removal,[],[f18288]) ).
thf(f18295,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_355 ),
inference(trivial_inequality_removal,[],[f18290]) ).
thf(f18297,plain,
( spl0_253
| spl0_355 ),
inference(avatar_split_clause,[],[f18293,f18281,f15297]) ).
thf(f18299,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_61
| spl0_355 ),
inference(forward_subsumption_resolution,[],[f18295,f14483]) ).
thf(f18300,plain,
( spl0_253
| spl0_61
| spl0_355 ),
inference(avatar_split_clause,[],[f18299,f18281,f1025,f15297]) ).
thf(f18301,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_70
| ~ spl0_253 ),
inference(constrained_superposition,[],[f1178,f15298]) ).
thf(f18326,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_70
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f18301]) ).
thf(f18337,plain,
( $false
| ~ spl0_70
| ~ spl0_234
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f18326,f15043]) ).
thf(f18338,plain,
( ~ spl0_70
| ~ spl0_234
| ~ spl0_253 ),
inference(avatar_contradiction_clause,[],[f18337]) ).
thf(f18379,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_220
| ~ spl0_274 ),
inference(constrained_superposition,[],[f15502,f14678]) ).
thf(f18380,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_259
| ~ spl0_274 ),
inference(constrained_superposition,[],[f15502,f15321]) ).
thf(f18400,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_220
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f18379]) ).
thf(f18421,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_259
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f18380]) ).
thf(f18425,plain,
( ~ spl0_244
| ~ spl0_220
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f18400,f15501,f14677,f15026]) ).
thf(f18430,plain,
( $false
| ~ spl0_85
| ~ spl0_259
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f18421,f1472]) ).
thf(f18431,plain,
( ~ spl0_85
| ~ spl0_259
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f18430]) ).
thf(f18457,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_126
| ~ spl0_218 ),
inference(constrained_superposition,[],[f8885,f14671]) ).
thf(f18490,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_126
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f18457]) ).
thf(f18499,plain,
( spl0_345
| spl0_268
| ~ spl0_126
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f18490,f14670,f8884,f15358,f17898]) ).
thf(f18519,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_59
| ~ spl0_221 ),
inference(constrained_superposition,[],[f6522,f14682]) ).
thf(f18530,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_59
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f18519]) ).
thf(f18551,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_59
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f18530,f27]) ).
thf(f18560,definition,
( spl0_360
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_360])],[avatar_definition]) ).
thf(f18561,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_360 ),
inference(avatar_component_clause,[],[f18560]) ).
thf(f18563,definition,
( spl0_361
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_361])],[avatar_definition]) ).
thf(f18564,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_361 ),
inference(avatar_component_clause,[],[f18563]) ).
thf(f18568,definition,
( spl0_362
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_362])],[avatar_definition]) ).
thf(f18569,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_362 ),
inference(avatar_component_clause,[],[f18568]) ).
thf(f18584,definition,
( spl0_365
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_365])],[avatar_definition]) ).
thf(f18585,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_365 ),
inference(avatar_component_clause,[],[f18584]) ).
thf(f18588,plain,
( spl0_268
| spl0_287
| spl0_324
| ~ spl0_59
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f18551,f14681,f975,f17356,f16132,f15358]) ).
thf(f18591,definition,
( spl0_366
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
thf(f18592,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f18591]) ).
thf(f18596,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_222 ),
inference(constrained_superposition,[],[f688,f14685]) ).
thf(f18597,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_222 ),
inference(constrained_superposition,[],[f699,f14685]) ).
thf(f18615,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f18596]) ).
thf(f18623,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f18597]) ).
thf(f18636,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_55 ),
inference(constrained_superposition,[],[f963,f135]) ).
thf(f18638,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_55 ),
inference(constrained_superposition,[],[f963,f56]) ).
thf(f18646,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_55 ),
inference(duplicate_literal_removal,[],[f18636]) ).
thf(f18647,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f18646]) ).
thf(f18649,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f18638]) ).
thf(f18653,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1447,f135]) ).
thf(f18655,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1447,f56]) ).
thf(f18657,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1447,f37]) ).
thf(f18662,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f18657]) ).
thf(f18664,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f18653]) ).
thf(f18666,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f18655]) ).
thf(f18687,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f15371,f795]) ).
thf(f18692,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f15371,f37]) ).
thf(f18697,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_271 ),
inference(duplicate_literal_removal,[],[f18692]) ).
thf(f18698,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f18697]) ).
thf(f18702,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f18687]) ).
thf(f18704,plain,
( ! [X0: $i] :
( $true
!= ( b @ z @ X0 ) )
| spl0_236
| ~ spl0_271 ),
inference(forward_subsumption_resolution,[],[f18698,f14943]) ).
thf(f18705,plain,
( spl0_293
| spl0_75
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f18702,f15370,f1338,f16304]) ).
thf(f18706,plain,
( spl0_43
| spl0_236
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f18704,f15370,f14889,f541]) ).
thf(f18760,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_216
| ~ spl0_297 ),
inference(constrained_superposition,[],[f16323,f14664]) ).
thf(f18762,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_297 ),
inference(constrained_superposition,[],[f16323,f795]) ).
thf(f18763,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_297 ),
inference(constrained_superposition,[],[f16323,f135]) ).
thf(f18765,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_297 ),
inference(constrained_superposition,[],[f16323,f56]) ).
thf(f18772,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f18763]) ).
thf(f18773,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_216
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f18760]) ).
thf(f18774,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_297 ),
inference(duplicate_literal_removal,[],[f18765]) ).
thf(f18775,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f18774]) ).
thf(f18778,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f18762]) ).
thf(f18781,plain,
( spl0_279
| ~ spl0_216
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f18773,f16322,f14663,f15891]) ).
thf(f18786,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f14798]) ).
thf(f18788,plain,
( spl0_224
| spl0_182
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f18778,f16322,f13321,f14798]) ).
thf(f18793,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f215,f31]) ).
thf(f18794,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f18793]) ).
thf(f18798,plain,
( spl0_148
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f18794,f214,f10576]) ).
thf(f18799,plain,
( ( $true != $true )
| ~ spl0_30
| spl0_60 ),
inference(constrained_superposition,[],[f14917,f381]) ).
thf(f18811,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_30 ),
inference(constrained_superposition,[],[f1202,f381]) ).
thf(f18815,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_30
| ~ spl0_63 ),
inference(constrained_superposition,[],[f1047,f381]) ).
thf(f18834,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f18811]) ).
thf(f18844,plain,
( $false
| ~ spl0_30
| spl0_60 ),
inference(trivial_inequality_removal,[],[f18799]) ).
thf(f18845,plain,
( ~ spl0_30
| spl0_60 ),
inference(avatar_contradiction_clause,[],[f18844]) ).
thf(f18850,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_30
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f18815]) ).
thf(f18862,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f18834,f381]) ).
thf(f18867,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_30
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f18850,f381]) ).
thf(f18876,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_25
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f18862,f311]) ).
thf(f18885,plain,
( $false
| ~ spl0_25
| ~ spl0_30
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f18867,f311]) ).
thf(f18886,plain,
( ~ spl0_25
| ~ spl0_30
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f18885]) ).
thf(f18894,plain,
( spl0_50
| ~ spl0_7
| ~ spl0_16
| ~ spl0_25
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f18876,f380,f310,f218,f161,f601]) ).
thf(f18902,definition,
( spl0_371
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_371])],[avatar_definition]) ).
thf(f18903,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_371 ),
inference(avatar_component_clause,[],[f18902]) ).
thf(f18904,plain,
( spl0_240
| spl0_371
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f18772,f16322,f18902,f14945]) ).
thf(f18905,plain,
( spl0_98
| spl0_15
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f18775,f16322,f214,f3579]) ).
thf(f18911,plain,
( spl0_13
| spl0_259
| spl0_292 ),
inference(avatar_split_clause,[],[f16990,f16301,f15320,f194]) ).
thf(f18913,plain,
( spl0_259
| spl0_292 ),
inference(avatar_split_clause,[],[f16993,f16301,f15320]) ).
thf(f18914,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_59
| ~ spl0_210 ),
inference(forward_subsumption_resolution,[],[f17625,f27]) ).
thf(f18925,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_59
| spl0_66
| ~ spl0_210 ),
inference(forward_subsumption_resolution,[],[f18914,f14471]) ).
thf(f18927,plain,
( spl0_259
| spl0_324
| ~ spl0_59
| spl0_66
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f18925,f14626,f1087,f975,f17356,f15320]) ).
thf(f18928,plain,
( spl0_346
| spl0_311
| ~ spl0_7
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f18623,f14684,f161,f17211,f18042]) ).
thf(f18939,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_16
| ~ spl0_240 ),
inference(constrained_superposition,[],[f1134,f14946]) ).
thf(f18947,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_16
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f18939]) ).
thf(f18983,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| spl0_51
| ~ spl0_224 ),
inference(constrained_superposition,[],[f995,f18786]) ).
thf(f18986,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_85
| ~ spl0_224 ),
inference(constrained_superposition,[],[f2008,f18786]) ).
thf(f18988,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_139
| ~ spl0_224 ),
inference(constrained_superposition,[],[f9533,f18786]) ).
thf(f18994,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_224 ),
inference(constrained_superposition,[],[f1204,f18786]) ).
thf(f19004,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_139
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f18988]) ).
thf(f19005,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f18994]) ).
thf(f19023,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_85
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f18986]) ).
thf(f19025,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| spl0_51
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f18983]) ).
thf(f19026,plain,
( $false
| ~ spl0_139
| ~ spl0_224
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f19004,f15353]) ).
thf(f19027,plain,
( ~ spl0_139
| ~ spl0_224
| ~ spl0_267 ),
inference(avatar_contradiction_clause,[],[f19026]) ).
thf(f19028,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f19005,f1070]) ).
thf(f19036,plain,
( spl0_275
| ~ spl0_85
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f19023,f14798,f1471,f15612]) ).
thf(f19038,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| spl0_51
| ~ spl0_224
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f19025,f15043]) ).
thf(f19039,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| ~ spl0_224
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f19028,f14946]) ).
thf(f19048,plain,
( spl0_225
| spl0_51
| ~ spl0_224
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f19038,f14878,f14798,f949,f14828]) ).
thf(f19049,plain,
( $false
| ~ spl0_11
| ~ spl0_16
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| ~ spl0_224
| ~ spl0_234
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f19039,f15043]) ).
thf(f19050,plain,
( ~ spl0_11
| ~ spl0_16
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| ~ spl0_224
| ~ spl0_234
| ~ spl0_240 ),
inference(avatar_contradiction_clause,[],[f19049]) ).
thf(f19070,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f71,f14664]) ).
thf(f19075,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_126
| ~ spl0_216 ),
inference(constrained_superposition,[],[f8885,f14664]) ).
thf(f19103,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f19070]) ).
thf(f19106,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_126
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f19075]) ).
thf(f19116,plain,
( spl0_269
| spl0_268
| ~ spl0_126
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f19106,f14663,f8884,f15358,f15361]) ).
thf(f19120,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_279 ),
inference(constrained_superposition,[],[f15892,f795]) ).
thf(f19133,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f19120]) ).
thf(f19136,plain,
( ~ spl0_57
| spl0_293
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f19133,f15891,f16304,f969]) ).
thf(f19156,plain,
( spl0_308
| spl0_346
| ~ spl0_11
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f18615,f14684,f174,f18042,f17193]) ).
thf(f19179,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_59
| ~ spl0_213 ),
inference(constrained_superposition,[],[f6643,f14637]) ).
thf(f19182,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_126
| ~ spl0_213 ),
inference(constrained_superposition,[],[f8885,f14637]) ).
thf(f19212,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_126
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f19182]) ).
thf(f19213,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_59
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f19179]) ).
thf(f19229,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_59
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f19213,f33]) ).
thf(f19235,plain,
( spl0_319
| spl0_226
| spl0_262
| ~ spl0_59
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f19229,f14636,f975,f15332,f14831,f17304]) ).
thf(f19237,plain,
( spl0_259
| spl0_345
| ~ spl0_126
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f19212,f14636,f8884,f17898,f15320]) ).
thf(f19245,plain,
( spl0_98
| spl0_256
| ~ spl0_255
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f19103,f14663,f15306,f15309,f3579]) ).
thf(f19318,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_25
| ~ spl0_28
| ~ spl0_98 ),
inference(constrained_superposition,[],[f608,f3580]) ).
thf(f19327,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_25
| ~ spl0_28
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f19318]) ).
thf(f19330,plain,
( $false
| ~ spl0_25
| ~ spl0_28
| ~ spl0_98
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f19327,f15043]) ).
thf(f19331,plain,
( ~ spl0_25
| ~ spl0_28
| ~ spl0_98
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f19330]) ).
thf(f19340,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_311 ),
inference(avatar_component_clause,[],[f17211]) ).
thf(f19361,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_232 ),
inference(constrained_superposition,[],[f29,f14870]) ).
thf(f19373,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f19361]) ).
thf(f19392,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_37
| ~ spl0_70 ),
inference(constrained_superposition,[],[f1178,f435]) ).
thf(f19399,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_37
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f19392]) ).
thf(f19406,plain,
( ( $true != $true )
| ~ spl0_37
| ~ spl0_70
| ~ spl0_234 ),
inference(constrained_superposition,[],[f19399,f15043]) ).
thf(f19410,plain,
( $false
| ~ spl0_37
| ~ spl0_70
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f19406]) ).
thf(f19411,plain,
( ~ spl0_37
| ~ spl0_70
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f19410]) ).
thf(f19416,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_25
| ~ spl0_28
| ~ spl0_242 ),
inference(constrained_superposition,[],[f608,f15019]) ).
thf(f19424,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_25
| ~ spl0_28
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f19416]) ).
thf(f19430,plain,
( ~ spl0_236
| ~ spl0_25
| ~ spl0_28
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f19424,f15018,f337,f310,f14889]) ).
thf(f19431,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| spl0_338 ),
inference(constrained_superposition,[],[f17869,f36]) ).
thf(f19434,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_338 ),
inference(trivial_inequality_removal,[],[f19431]) ).
thf(f19436,plain,
( spl0_340
| spl0_338 ),
inference(avatar_split_clause,[],[f19434,f17868,f17875]) ).
thf(f19462,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_11
| spl0_244 ),
inference(constrained_superposition,[],[f17122,f175]) ).
thf(f19465,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_11
| spl0_244 ),
inference(trivial_inequality_removal,[],[f19462]) ).
thf(f19467,plain,
( $false
| ~ spl0_11
| spl0_236
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f19465,f14943]) ).
thf(f19468,plain,
( ~ spl0_11
| spl0_236
| spl0_244 ),
inference(avatar_contradiction_clause,[],[f19467]) ).
thf(f19499,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_182 ),
inference(constrained_superposition,[],[f13322,f796]) ).
thf(f19513,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f19499]) ).
thf(f19519,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_85
| ~ spl0_293 ),
inference(constrained_superposition,[],[f2008,f16305]) ).
thf(f19552,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_85
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f19519]) ).
thf(f19567,plain,
( spl0_288
| ~ spl0_85
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f19552,f16304,f1471,f16173]) ).
thf(f19573,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| spl0_361 ),
inference(constrained_superposition,[],[f18564,f136]) ).
thf(f19580,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_361 ),
inference(trivial_inequality_removal,[],[f19573]) ).
thf(f19584,plain,
( spl0_335
| spl0_361 ),
inference(avatar_split_clause,[],[f19580,f18563,f17854]) ).
thf(f19846,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_256 ),
inference(constrained_superposition,[],[f15310,f56]) ).
thf(f19856,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_256 ),
inference(duplicate_literal_removal,[],[f19846]) ).
thf(f19857,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f19856]) ).
thf(f19864,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_216
| ~ spl0_282 ),
inference(constrained_superposition,[],[f15918,f14664]) ).
thf(f19865,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_282 ),
inference(constrained_superposition,[],[f15918,f795]) ).
thf(f19875,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_216
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f19864]) ).
thf(f19879,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f19865]) ).
thf(f19883,plain,
( ~ spl0_255
| ~ spl0_216
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f19875,f15917,f14663,f15306]) ).
thf(f19884,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_224
| ~ spl0_282 ),
inference(forward_subsumption_resolution,[],[f19879,f14799]) ).
thf(f19886,plain,
( ~ spl0_57
| spl0_224
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f19884,f15917,f14798,f969]) ).
thf(f19941,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_2
| spl0_311 ),
inference(constrained_superposition,[],[f19340,f77]) ).
thf(f19946,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_311 ),
inference(trivial_inequality_removal,[],[f19941]) ).
thf(f19949,plain,
( $false
| ~ spl0_2
| spl0_308
| spl0_311 ),
inference(forward_subsumption_resolution,[],[f19946,f18052]) ).
thf(f19950,plain,
( ~ spl0_2
| spl0_308
| spl0_311 ),
inference(avatar_contradiction_clause,[],[f19949]) ).
thf(f19953,plain,
( spl0_15
| spl0_242
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f19857,f15309,f15018,f214]) ).
thf(f19988,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| spl0_51
| ~ spl0_341 ),
inference(constrained_superposition,[],[f995,f17880]) ).
thf(f19991,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_85
| ~ spl0_341 ),
inference(constrained_superposition,[],[f2008,f17880]) ).
thf(f19996,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_166
| ~ spl0_341 ),
inference(constrained_superposition,[],[f13174,f17880]) ).
thf(f20015,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_85
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f19991]) ).
thf(f20026,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_166
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f19996]) ).
thf(f20029,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| spl0_51
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f19988]) ).
thf(f20043,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| spl0_51
| ~ spl0_308
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f20029,f17194]) ).
thf(f20051,plain,
( spl0_347
| spl0_51
| ~ spl0_308
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f20043,f17879,f17193,f949,f18054]) ).
thf(f20083,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_166
| ~ spl0_341 ),
inference(constrained_superposition,[],[f20026,f162]) ).
thf(f20088,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_166
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f20083]) ).
thf(f20089,plain,
( $false
| ~ spl0_7
| ~ spl0_166
| spl0_311
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f20088,f19340]) ).
thf(f20090,plain,
( ~ spl0_7
| ~ spl0_166
| spl0_311
| ~ spl0_341 ),
inference(avatar_contradiction_clause,[],[f20089]) ).
thf(f20092,plain,
( spl0_348
| ~ spl0_85
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f20015,f17879,f1471,f18103]) ).
thf(f20102,plain,
( spl0_366
| ~ spl0_338
| spl0_234
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f17628,f14626,f14878,f17868,f18591]) ).
thf(f20103,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_98 ),
inference(constrained_superposition,[],[f1198,f3580]) ).
thf(f20112,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f20103]) ).
thf(f20123,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_98 ),
inference(constrained_superposition,[],[f20112,f175]) ).
thf(f20134,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f20123]) ).
thf(f20193,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_242 ),
inference(constrained_superposition,[],[f15044,f77]) ).
thf(f20197,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_242 ),
inference(trivial_inequality_removal,[],[f20193]) ).
thf(f20206,plain,
( spl0_236
| ~ spl0_2
| spl0_242 ),
inference(avatar_split_clause,[],[f20197,f15018,f76,f14889]) ).
thf(f20209,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_60
| ~ spl0_148 ),
inference(constrained_superposition,[],[f14917,f10577]) ).
thf(f20238,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_60
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f20209]) ).
thf(f20264,plain,
( $false
| spl0_60
| spl0_61
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f20238,f14483]) ).
thf(f20265,plain,
( spl0_60
| spl0_61
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f20264]) ).
thf(f20322,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_340 ),
inference(constrained_superposition,[],[f29,f17876]) ).
thf(f20330,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f20322]) ).
thf(f20338,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_7
| ~ spl0_215 ),
inference(constrained_superposition,[],[f699,f14661]) ).
thf(f20359,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f20338]) ).
thf(f20365,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_215
| spl0_242 ),
inference(forward_subsumption_resolution,[],[f20359,f15044]) ).
thf(f20366,plain,
( spl0_235
| ~ spl0_7
| ~ spl0_215
| spl0_242 ),
inference(avatar_split_clause,[],[f20365,f15018,f14660,f161,f14886]) ).
thf(f20491,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_311 ),
inference(constrained_superposition,[],[f1198,f17212]) ).
thf(f20500,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f20491]) ).
thf(f20510,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_311 ),
inference(constrained_superposition,[],[f20500,f175]) ).
thf(f20520,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f20510]) ).
thf(f20552,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_210
| ~ spl0_297 ),
inference(constrained_superposition,[],[f16323,f14627]) ).
thf(f20566,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_210
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f20552]) ).
thf(f20571,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_210
| ~ spl0_213
| ~ spl0_297 ),
inference(constrained_superposition,[],[f20566,f14637]) ).
thf(f20580,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_210
| ~ spl0_213
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f20571]) ).
thf(f20589,plain,
( ~ spl0_285
| ~ spl0_210
| ~ spl0_213
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f20580,f16322,f14636,f14626,f15950]) ).
thf(f20684,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_242 ),
inference(constrained_superposition,[],[f1198,f15019]) ).
thf(f20695,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f20684]) ).
thf(f20740,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_242
| ~ spl0_244 ),
inference(constrained_superposition,[],[f20695,f15027]) ).
thf(f20746,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_242
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f20740]) ).
thf(f20793,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_212
| ~ spl0_311 ),
inference(constrained_superposition,[],[f20500,f14634]) ).
thf(f20795,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_212 ),
inference(constrained_superposition,[],[f688,f14634]) ).
thf(f20811,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_11
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f20795]) ).
thf(f20813,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_212
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f20793]) ).
thf(f20823,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_212
| spl0_234 ),
inference(forward_subsumption_resolution,[],[f20811,f14879]) ).
thf(f20824,plain,
( $false
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_98
| ~ spl0_212
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[],[f20813,f3580]) ).
thf(f20825,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_98
| ~ spl0_212
| ~ spl0_311 ),
inference(avatar_contradiction_clause,[],[f20824]) ).
thf(f20828,plain,
( spl0_310
| ~ spl0_11
| ~ spl0_212
| spl0_234 ),
inference(avatar_split_clause,[],[f20823,f14878,f14633,f174,f17207]) ).
thf(f20880,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_39
| ~ spl0_218 ),
inference(constrained_superposition,[],[f442,f14671]) ).
thf(f20887,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_39
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f20880]) ).
thf(f20910,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_356 ),
inference(constrained_superposition,[],[f18285,f795]) ).
thf(f20919,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f20910]) ).
thf(f20929,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_224
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f20919,f14799]) ).
thf(f20935,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_224
| ~ spl0_356 ),
inference(constrained_superposition,[],[f20929,f37]) ).
thf(f20943,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_224
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f20935]) ).
thf(f20946,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| spl0_224
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f20943,f1070]) ).
thf(f20947,plain,
( ~ spl0_21
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| spl0_224
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f20946,f18284,f14798,f1040,f337,f310,f250]) ).
thf(f20949,definition,
( spl0_381
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_381])],[avatar_definition]) ).
thf(f20950,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f20949]) ).
thf(f20951,plain,
( spl0_381
| spl0_224
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f20919,f18284,f14798,f20949]) ).
thf(f20954,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_98
| ~ spl0_224 ),
inference(constrained_superposition,[],[f20112,f18786]) ).
thf(f20960,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_93
| ~ spl0_224 ),
inference(constrained_superposition,[],[f2376,f18786]) ).
thf(f20994,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_98
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f20954]) ).
thf(f20995,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_93
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f20960]) ).
thf(f21003,plain,
( $false
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_98
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f20994,f1041]) ).
thf(f21004,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_98
| ~ spl0_224 ),
inference(avatar_contradiction_clause,[],[f21003]) ).
thf(f21005,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_93
| ~ spl0_98
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f20995,f3580]) ).
thf(f21008,plain,
( $false
| ~ spl0_93
| ~ spl0_98
| ~ spl0_224
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f21005,f14946]) ).
thf(f21009,plain,
( ~ spl0_93
| ~ spl0_98
| ~ spl0_224
| ~ spl0_240 ),
inference(avatar_contradiction_clause,[],[f21008]) ).
thf(f21010,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_311
| ~ spl0_337 ),
inference(constrained_superposition,[],[f20500,f17865]) ).
thf(f21022,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_311
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f21010]) ).
thf(f21028,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_366 ),
inference(constrained_superposition,[],[f18592,f795]) ).
thf(f21033,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_366 ),
inference(constrained_superposition,[],[f18592,f37]) ).
thf(f21036,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f21028]) ).
thf(f21045,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_366 ),
inference(duplicate_literal_removal,[],[f21033]) ).
thf(f21046,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f21045]) ).
thf(f21047,plain,
( spl0_341
| spl0_75
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f21036,f18591,f1338,f17879]) ).
thf(f21050,plain,
( ! [X0: $i] :
( $true
!= ( b @ z @ X0 ) )
| spl0_308
| ~ spl0_366 ),
inference(forward_subsumption_resolution,[],[f21046,f18052]) ).
thf(f21051,plain,
( spl0_43
| spl0_308
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f21050,f18591,f17193,f541]) ).
thf(f21088,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f16308,f795]) ).
thf(f21093,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f16308,f37]) ).
thf(f21100,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f21093]) ).
thf(f21102,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_294 ),
inference(duplicate_literal_removal,[],[f21088]) ).
thf(f21103,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f21102]) ).
thf(f21107,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| spl0_234
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f21100,f14879]) ).
thf(f21108,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| spl0_224
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f21103,f14799]) ).
thf(f21109,plain,
( spl0_75
| spl0_234
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f21107,f16307,f14878,f1338]) ).
thf(f21110,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| spl0_224
| ~ spl0_294 ),
inference(constrained_superposition,[],[f21108,f796]) ).
thf(f21118,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| spl0_224
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f21110]) ).
thf(f21126,plain,
( spl0_132
| spl0_224
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f21118,f16307,f14798,f9001]) ).
thf(f21131,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_98
| spl0_234 ),
inference(forward_subsumption_resolution,[],[f20134,f14879]) ).
thf(f21132,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_64 ),
inference(avatar_component_clause,[],[f1049]) ).
thf(f21143,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_14 ),
inference(avatar_component_clause,[],[f211]) ).
thf(f21144,plain,
( ~ spl0_14
| spl0_193
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f1225,f310,f191,f174,f76,f13594,f211]) ).
thf(f21145,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_61
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f2480,f14483]) ).
thf(f21148,definition,
( spl0_384
<=> ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_384])],[avatar_definition]) ).
thf(f21149,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_384 ),
inference(avatar_component_clause,[],[f21148]) ).
thf(f21150,plain,
( spl0_384
| spl0_85
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f18647,f962,f1471,f21148]) ).
thf(f21156,plain,
( ~ spl0_14
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_311
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f21022,f17864,f17211,f310,f191,f174,f211]) ).
thf(f21157,plain,
( spl0_62
| spl0_371
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f18649,f962,f18902,f1040]) ).
thf(f21160,definition,
( spl0_386
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_386])],[avatar_definition]) ).
thf(f21161,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_386 ),
inference(avatar_component_clause,[],[f21160]) ).
thf(f21182,definition,
( spl0_391
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_391])],[avatar_definition]) ).
thf(f21183,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_391 ),
inference(avatar_component_clause,[],[f21182]) ).
thf(f21193,definition,
( spl0_394
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_394])],[avatar_definition]) ).
thf(f21194,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_394 ),
inference(avatar_component_clause,[],[f21193]) ).
thf(f21195,plain,
( spl0_394
| spl0_64
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f18662,f1446,f1049,f21193]) ).
thf(f21196,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| spl0_308
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[],[f20520,f18052]) ).
thf(f21202,definition,
( spl0_396
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_396])],[avatar_definition]) ).
thf(f21203,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_396 ),
inference(avatar_component_clause,[],[f21202]) ).
thf(f21205,plain,
( ~ spl0_14
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_242
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f20746,f15026,f15018,f310,f191,f174,f211]) ).
thf(f21206,plain,
( spl0_214
| spl0_85
| ~ spl0_21
| spl0_66 ),
inference(avatar_split_clause,[],[f16005,f1087,f250,f1471,f14656]) ).
thf(f21208,definition,
( spl0_397
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_397])],[avatar_definition]) ).
thf(f21209,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_397 ),
inference(avatar_component_clause,[],[f21208]) ).
thf(f21214,definition,
( spl0_398
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_398])],[avatar_definition]) ).
thf(f21215,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_398 ),
inference(avatar_component_clause,[],[f21214]) ).
thf(f21216,plain,
( spl0_62
| spl0_398
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f18666,f1446,f21214,f1040]) ).
thf(f21218,definition,
( spl0_399
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_399])],[avatar_definition]) ).
thf(f21219,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_399 ),
inference(avatar_component_clause,[],[f21218]) ).
thf(f21220,plain,
( spl0_399
| spl0_85
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f18664,f1446,f1471,f21218]) ).
thf(f21226,plain,
( ~ spl0_14
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_98
| spl0_234 ),
inference(avatar_split_clause,[],[f21131,f14878,f3579,f310,f191,f174,f211]) ).
thf(f21229,plain,
( spl0_62
| spl0_61
| spl0_79 ),
inference(avatar_split_clause,[],[f21145,f1432,f1025,f1040]) ).
thf(f21235,plain,
( ~ spl0_14
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| spl0_308
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f21196,f17211,f17193,f310,f191,f174,f211]) ).
thf(f21237,plain,
( ~ spl0_18
| spl0_65
| ~ spl0_79
| ~ spl0_81
| spl0_66
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f16002,f12380,f1087,f1439,f1432,f1084,f240]) ).
thf(f21238,plain,
( ~ spl0_18
| ~ spl0_79
| spl0_85
| ~ spl0_21
| spl0_66
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f16003,f12380,f1087,f250,f1471,f1432,f240]) ).
thf(f21860,definition,
( spl0_402
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_402])],[avatar_definition]) ).
thf(f21861,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_402 ),
inference(avatar_component_clause,[],[f21860]) ).
thf(f23158,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_384 ),
inference(constrained_superposition,[],[f21149,f136]) ).
thf(f23159,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_384 ),
inference(constrained_superposition,[],[f21149,f56]) ).
thf(f23167,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f23158]) ).
thf(f23169,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f23159]) ).
thf(f23170,plain,
( spl0_37
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f23167,f21148,f434]) ).
thf(f23171,plain,
( spl0_14
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f23169,f21148,f211]) ).
thf(f23186,plain,
( ( $true != $true )
| ~ spl0_193
| spl0_236 ),
inference(constrained_superposition,[],[f14943,f13595]) ).
thf(f23198,plain,
( $false
| ~ spl0_193
| spl0_236 ),
inference(trivial_inequality_removal,[],[f23186]) ).
thf(f23199,plain,
( ~ spl0_193
| spl0_236 ),
inference(avatar_contradiction_clause,[],[f23198]) ).
thf(f23213,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f21209,f36]) ).
thf(f23216,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f23213]) ).
thf(f23222,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_60 ),
inference(constrained_superposition,[],[f688,f1023]) ).
thf(f23223,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_7
| ~ spl0_60 ),
inference(constrained_superposition,[],[f699,f1023]) ).
thf(f23224,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_60 ),
inference(constrained_superposition,[],[f1202,f1023]) ).
thf(f23225,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_60 ),
inference(constrained_superposition,[],[f1204,f1023]) ).
thf(f23236,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f23225]) ).
thf(f23240,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f23222]) ).
thf(f23247,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f23223]) ).
thf(f23250,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f23224]) ).
thf(f23255,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f23236,f192]) ).
thf(f23257,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_60
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f23240,f21132]) ).
thf(f23261,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_12
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f23247,f1059]) ).
thf(f23262,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_25
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f23250,f311]) ).
thf(f23266,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| ~ spl0_60
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f23255,f21132]) ).
thf(f23267,plain,
( spl0_93
| ~ spl0_11
| ~ spl0_60
| spl0_64 ),
inference(avatar_split_clause,[],[f23257,f1049,f1022,f174,f2375]) ).
thf(f23271,plain,
( spl0_93
| ~ spl0_7
| ~ spl0_12
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f23261,f1022,f191,f161,f2375]) ).
thf(f23272,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f23262,f192]) ).
thf(f23277,plain,
( $false
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_60
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f23266,f311]) ).
thf(f23278,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_60
| spl0_64 ),
inference(avatar_contradiction_clause,[],[f23277]) ).
thf(f23282,plain,
( spl0_62
| ~ spl0_7
| ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f23272,f1022,f310,f218,f191,f161,f1040]) ).
thf(f23306,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_17
| spl0_60 ),
inference(constrained_superposition,[],[f14917,f5606]) ).
thf(f23312,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_17
| spl0_60 ),
inference(trivial_inequality_removal,[],[f23306]) ).
thf(f23316,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_17
| spl0_60
| spl0_61 ),
inference(forward_subsumption_resolution,[],[f23312,f14483]) ).
thf(f23319,plain,
( spl0_386
| ~ spl0_17
| spl0_60
| spl0_61 ),
inference(avatar_split_clause,[],[f23316,f1025,f1022,f221,f21160]) ).
thf(f23333,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_56 ),
inference(constrained_superposition,[],[f966,f31]) ).
thf(f23336,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_56 ),
inference(trivial_inequality_removal,[],[f23333]) ).
thf(f23340,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_56
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f23336,f14471]) ).
thf(f23341,plain,
( spl0_65
| spl0_56
| spl0_66 ),
inference(avatar_split_clause,[],[f23340,f1087,f965,f1084]) ).
thf(f23342,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_65
| ~ spl0_70 ),
inference(constrained_superposition,[],[f1178,f1085]) ).
thf(f23359,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_65
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f23342]) ).
thf(f23376,plain,
( ~ spl0_64
| ~ spl0_65
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f23359,f1177,f1084,f1049]) ).
thf(f23378,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| spl0_81 ),
inference(constrained_superposition,[],[f1440,f37]) ).
thf(f23381,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_81 ),
inference(trivial_inequality_removal,[],[f23378]) ).
thf(f23383,plain,
( spl0_64
| spl0_81 ),
inference(avatar_split_clause,[],[f23381,f1439,f1049]) ).
thf(f23385,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f29,f1050]) ).
thf(f23387,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f23385]) ).
thf(f23389,plain,
( spl0_162
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f23387,f1049,f13144]) ).
thf(f23390,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| spl0_85 ),
inference(constrained_superposition,[],[f1977,f162]) ).
thf(f23394,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| spl0_85 ),
inference(trivial_inequality_removal,[],[f23390]) ).
thf(f23396,plain,
( spl0_62
| ~ spl0_7
| spl0_85 ),
inference(avatar_split_clause,[],[f23394,f1471,f161,f1040]) ).
thf(f23434,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f23216,f37]) ).
thf(f23437,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f23434]) ).
thf(f23439,plain,
( spl0_249
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f23437,f21208,f15089]) ).
thf(f23492,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f18903,f136]) ).
thf(f23503,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f23492]) ).
thf(f24336,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_166
| ~ spl0_293 ),
inference(constrained_superposition,[],[f13174,f16305]) ).
thf(f24345,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_166
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f24336]) ).
thf(f24346,plain,
( $false
| ~ spl0_166
| ~ spl0_244
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f24345,f15027]) ).
thf(f24347,plain,
( ~ spl0_166
| ~ spl0_244
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f24346]) ).
thf(f24397,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f956,f37]) ).
thf(f24404,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_53 ),
inference(duplicate_literal_removal,[],[f24397]) ).
thf(f24405,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f24404]) ).
thf(f24438,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_85
| ~ spl0_391 ),
inference(constrained_superposition,[],[f21183,f1472]) ).
thf(f24452,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_85
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f24438]) ).
thf(f24457,plain,
( $false
| ~ spl0_16
| ~ spl0_85
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f24452,f219]) ).
thf(f24458,plain,
( ~ spl0_16
| ~ spl0_85
| ~ spl0_391 ),
inference(avatar_contradiction_clause,[],[f24457]) ).
thf(f24519,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f23503,f57]) ).
thf(f24524,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f24519]) ).
thf(f24526,plain,
( spl0_33
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f24524,f18902,f420]) ).
thf(f24597,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_213
| ~ spl0_321 ),
inference(constrained_superposition,[],[f17312,f14637]) ).
thf(f24612,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_213
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f24597]) ).
thf(f24618,plain,
( spl0_282
| ~ spl0_213
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f24612,f17311,f14636,f15917]) ).
thf(f24719,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_132
| ~ spl0_267 ),
inference(constrained_superposition,[],[f17344,f9002]) ).
thf(f24720,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_132
| ~ spl0_274 ),
inference(constrained_superposition,[],[f15502,f9002]) ).
thf(f24721,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_16
| ~ spl0_132
| ~ spl0_240 ),
inference(constrained_superposition,[],[f18947,f9002]) ).
thf(f24739,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_16
| ~ spl0_132
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f24721]) ).
thf(f24741,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_132
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f24720]) ).
thf(f24744,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_132
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f24719]) ).
thf(f24749,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_16
| ~ spl0_85
| ~ spl0_132
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f24739,f1472]) ).
thf(f24751,plain,
( $false
| ~ spl0_85
| ~ spl0_132
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f24741,f1472]) ).
thf(f24752,plain,
( ~ spl0_85
| ~ spl0_132
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f24751]) ).
thf(f24755,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_64
| ~ spl0_132
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f24744,f1050]) ).
thf(f24760,plain,
( $false
| ~ spl0_16
| ~ spl0_64
| ~ spl0_85
| ~ spl0_132
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f24749,f1050]) ).
thf(f24761,plain,
( ~ spl0_16
| ~ spl0_64
| ~ spl0_85
| ~ spl0_132
| ~ spl0_240 ),
inference(avatar_contradiction_clause,[],[f24760]) ).
thf(f24763,plain,
( spl0_391
| ~ spl0_64
| ~ spl0_132
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f24755,f15352,f9001,f1049,f21182]) ).
thf(f24820,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_216
| ~ spl0_294 ),
inference(constrained_superposition,[],[f16308,f14664]) ).
thf(f24823,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f16308,f135]) ).
thf(f24830,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f24823]) ).
thf(f24836,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_216
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f24820]) ).
thf(f24842,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_216
| ~ spl0_219
| ~ spl0_294 ),
inference(constrained_superposition,[],[f24836,f14675]) ).
thf(f24860,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_216
| ~ spl0_219
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f24842]) ).
thf(f24862,plain,
( ~ spl0_292
| ~ spl0_216
| ~ spl0_219
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f24860,f16307,f14674,f14663,f16301]) ).
thf(f24867,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_16
| ~ spl0_240
| ~ spl0_259 ),
inference(constrained_superposition,[],[f18947,f15321]) ).
thf(f24878,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_16
| ~ spl0_240
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f24867]) ).
thf(f24888,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_16
| ~ spl0_64
| ~ spl0_240
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f24878,f1050]) ).
thf(f24894,plain,
( $false
| ~ spl0_16
| ~ spl0_64
| ~ spl0_85
| ~ spl0_240
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f24888,f1472]) ).
thf(f24895,plain,
( ~ spl0_16
| ~ spl0_64
| ~ spl0_85
| ~ spl0_240
| ~ spl0_259 ),
inference(avatar_contradiction_clause,[],[f24894]) ).
thf(f24906,plain,
( spl0_381
| spl0_240
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f24830,f16307,f14945,f20949]) ).
thf(f24909,plain,
( spl0_43
| spl0_64
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f24405,f955,f1049,f541]) ).
thf(f24911,definition,
( spl0_405
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_405])],[avatar_definition]) ).
thf(f24912,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_405 ),
inference(avatar_component_clause,[],[f24911]) ).
thf(f24949,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_11
| spl0_240 ),
inference(constrained_superposition,[],[f14950,f175]) ).
thf(f24951,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_11
| spl0_240 ),
inference(trivial_inequality_removal,[],[f24949]) ).
thf(f24954,plain,
( $false
| ~ spl0_11
| spl0_234
| spl0_240 ),
inference(forward_subsumption_resolution,[],[f24951,f14879]) ).
thf(f24955,plain,
( ~ spl0_11
| spl0_234
| spl0_240 ),
inference(avatar_contradiction_clause,[],[f24954]) ).
thf(f24985,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| spl0_244 ),
inference(constrained_superposition,[],[f17122,f162]) ).
thf(f24990,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| spl0_244 ),
inference(trivial_inequality_removal,[],[f24985]) ).
thf(f24995,plain,
( spl0_242
| ~ spl0_7
| spl0_244 ),
inference(avatar_split_clause,[],[f24990,f15026,f161,f15018]) ).
thf(f24997,plain,
( spl0_28
| spl0_1 ),
inference(avatar_split_clause,[],[f1289,f73,f337]) ).
thf(f25007,definition,
( spl0_409
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_409])],[avatar_definition]) ).
thf(f25008,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_409 ),
inference(avatar_component_clause,[],[f25007]) ).
thf(f25020,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_242 ),
inference(constrained_superposition,[],[f1198,f15019]) ).
thf(f25027,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f25020]) ).
thf(f25034,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_335 ),
inference(constrained_superposition,[],[f466,f17855]) ).
thf(f25039,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f25034]) ).
thf(f25046,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| spl0_308
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f25039,f18052]) ).
thf(f25048,plain,
( spl0_325
| ~ spl0_2
| spl0_308
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f25046,f17854,f17193,f76,f17397]) ).
thf(f25056,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_25
| ~ spl0_220 ),
inference(constrained_superposition,[],[f560,f14678]) ).
thf(f25065,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_25
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f25056]) ).
thf(f25069,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_25
| ~ spl0_220
| spl0_234 ),
inference(forward_subsumption_resolution,[],[f25065,f14879]) ).
thf(f25072,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_25
| ~ spl0_220
| spl0_234
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f25069,f14890]) ).
thf(f25073,plain,
( $false
| ~ spl0_2
| ~ spl0_25
| ~ spl0_220
| spl0_234
| ~ spl0_236
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f25072,f15019]) ).
thf(f25074,plain,
( ~ spl0_2
| ~ spl0_25
| ~ spl0_220
| spl0_234
| ~ spl0_236
| ~ spl0_242 ),
inference(avatar_contradiction_clause,[],[f25073]) ).
thf(f25076,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_63
| ~ spl0_293 ),
inference(constrained_superposition,[],[f1047,f16305]) ).
thf(f25082,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_293 ),
inference(constrained_superposition,[],[f1202,f16305]) ).
thf(f25092,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f25082]) ).
thf(f25097,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_63
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f25076]) ).
thf(f25136,definition,
( spl0_411
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_411])],[avatar_definition]) ).
thf(f25137,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_411 ),
inference(avatar_component_clause,[],[f25136]) ).
thf(f25208,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_242
| ~ spl0_293 ),
inference(constrained_superposition,[],[f25027,f16305]) ).
thf(f25213,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_242
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f25208]) ).
thf(f25225,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_12
| ~ spl0_16
| ~ spl0_240 ),
inference(constrained_superposition,[],[f1203,f14946]) ).
thf(f25229,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_16
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f25225]) ).
thf(f25234,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_216
| ~ spl0_280 ),
inference(constrained_superposition,[],[f15907,f14664]) ).
thf(f25235,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_210
| ~ spl0_280 ),
inference(constrained_superposition,[],[f15907,f14627]) ).
thf(f25241,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_280 ),
inference(constrained_superposition,[],[f15907,f37]) ).
thf(f25246,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_210
| ~ spl0_280 ),
inference(trivial_inequality_removal,[],[f25235]) ).
thf(f25247,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_280 ),
inference(duplicate_literal_removal,[],[f25241]) ).
thf(f25248,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_280 ),
inference(trivial_inequality_removal,[],[f25247]) ).
thf(f25249,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_216
| ~ spl0_280 ),
inference(trivial_inequality_removal,[],[f25234]) ).
thf(f25255,plain,
( spl0_362
| ~ spl0_210
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f25246,f15906,f14626,f18568]) ).
thf(f25256,plain,
( ! [X0: $i] :
( $true
!= ( b @ z @ X0 ) )
| spl0_234
| ~ spl0_280 ),
inference(forward_subsumption_resolution,[],[f25248,f14879]) ).
thf(f25257,plain,
( spl0_261
| ~ spl0_216
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f25249,f15906,f14663,f15327]) ).
thf(f25259,plain,
( spl0_43
| spl0_234
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f25256,f15906,f14878,f541]) ).
thf(f25314,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_25
| ~ spl0_222 ),
inference(constrained_superposition,[],[f560,f14685]) ).
thf(f25324,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_25
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f25314]) ).
thf(f25328,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_25
| ~ spl0_222
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f25324,f15019]) ).
thf(f25330,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_25
| ~ spl0_222
| ~ spl0_236
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f25328,f14890]) ).
thf(f25331,plain,
( $false
| ~ spl0_2
| ~ spl0_25
| ~ spl0_222
| ~ spl0_236
| ~ spl0_242
| spl0_308 ),
inference(forward_subsumption_resolution,[],[f25330,f18052]) ).
thf(f25332,plain,
( ~ spl0_2
| ~ spl0_25
| ~ spl0_222
| ~ spl0_236
| ~ spl0_242
| spl0_308 ),
inference(avatar_contradiction_clause,[],[f25331]) ).
thf(f25398,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_356 ),
inference(constrained_superposition,[],[f18285,f37]) ).
thf(f25403,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f25398]) ).
thf(f25412,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_234
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f25403,f14879]) ).
thf(f25413,plain,
( spl0_41
| spl0_234
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f25412,f18284,f14878,f534]) ).
thf(f25414,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_63
| ~ spl0_236
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f25097,f14890]) ).
thf(f25418,plain,
( ~ spl0_244
| ~ spl0_63
| ~ spl0_236
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f25414,f16304,f14889,f1046,f15026]) ).
thf(f25424,plain,
( spl0_227
| spl0_409
| ~ spl0_39
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f20887,f14670,f441,f25007,f14835]) ).
thf(f26011,plain,
( ~ spl0_234
| ~ spl0_98
| ~ spl0_12
| ~ spl0_16
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f25229,f14945,f218,f191,f3579,f14878]) ).
thf(f26013,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_16
| ~ spl0_236
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f25092,f14890]) ).
thf(f26016,plain,
( spl0_62
| ~ spl0_244
| ~ spl0_7
| ~ spl0_16
| ~ spl0_236
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f26013,f16304,f14889,f218,f161,f15026,f1040]) ).
thf(f26017,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62 ),
inference(constrained_superposition,[],[f1198,f1041]) ).
thf(f26024,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f26017]) ).
thf(f26027,plain,
( $false
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_242
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f25213,f1041]) ).
thf(f26028,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_242
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f26027]) ).
thf(f26034,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_57 ),
inference(constrained_superposition,[],[f970,f31]) ).
thf(f26036,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_57 ),
inference(trivial_inequality_removal,[],[f26034]) ).
thf(f26039,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_57
| spl0_61 ),
inference(forward_subsumption_resolution,[],[f26036,f14483]) ).
thf(f26040,plain,
( spl0_60
| spl0_57
| spl0_61 ),
inference(avatar_split_clause,[],[f26039,f1025,f969,f1022]) ).
thf(f26063,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_11
| spl0_85 ),
inference(constrained_superposition,[],[f1977,f175]) ).
thf(f26064,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_11
| spl0_85 ),
inference(trivial_inequality_removal,[],[f26063]) ).
thf(f26075,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_253 ),
inference(constrained_superposition,[],[f699,f15298]) ).
thf(f26086,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_7
| ~ spl0_253 ),
inference(duplicate_literal_removal,[],[f26075]) ).
thf(f26087,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f26086]) ).
thf(f26100,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_264
| ~ spl0_302 ),
inference(constrained_superposition,[],[f16979,f15340]) ).
thf(f26115,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_264
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f26100]) ).
thf(f26118,plain,
( $false
| ~ spl0_12
| ~ spl0_264
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f26115,f192]) ).
thf(f26119,plain,
( ~ spl0_12
| ~ spl0_264
| ~ spl0_302 ),
inference(avatar_contradiction_clause,[],[f26118]) ).
thf(f26162,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_220
| ~ spl0_242 ),
inference(constrained_superposition,[],[f25027,f14678]) ).
thf(f26175,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_220
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f26162]) ).
thf(f26201,plain,
( spl0_98
| spl0_274
| ~ spl0_7
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f26087,f15297,f161,f15501,f3579]) ).
thf(f26204,plain,
( ~ spl0_98
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_220
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f26175,f15018,f14677,f310,f191,f174,f3579]) ).
thf(f26255,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_62
| ~ spl0_391 ),
inference(constrained_superposition,[],[f21183,f1041]) ).
thf(f26267,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_62
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f26255]) ).
thf(f26269,plain,
( $false
| ~ spl0_25
| ~ spl0_62
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f26267,f311]) ).
thf(f26270,plain,
( ~ spl0_25
| ~ spl0_62
| ~ spl0_391 ),
inference(avatar_contradiction_clause,[],[f26269]) ).
thf(f26273,plain,
( spl0_64
| ~ spl0_11
| spl0_85 ),
inference(avatar_split_clause,[],[f26064,f1471,f174,f1049]) ).
thf(f26338,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_132 ),
inference(constrained_superposition,[],[f26024,f9002]) ).
thf(f26350,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f26338]) ).
thf(f26362,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_51 ),
inference(constrained_superposition,[],[f950,f36]) ).
thf(f26365,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_51 ),
inference(trivial_inequality_removal,[],[f26362]) ).
thf(f26367,plain,
( spl0_386
| spl0_51 ),
inference(avatar_split_clause,[],[f26365,f949,f21160]) ).
thf(f26387,plain,
( ( $true != $true )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_98
| ~ spl0_132 ),
inference(constrained_superposition,[],[f26350,f3580]) ).
thf(f26391,plain,
( $false
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_98
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f26387]) ).
thf(f26392,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_98
| ~ spl0_132 ),
inference(avatar_contradiction_clause,[],[f26391]) ).
thf(f26416,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_7
| ~ spl0_65 ),
inference(constrained_superposition,[],[f699,f1085]) ).
thf(f26419,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_65 ),
inference(constrained_superposition,[],[f466,f1085]) ).
thf(f26430,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_7
| ~ spl0_65 ),
inference(duplicate_literal_removal,[],[f26416]) ).
thf(f26431,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f26430]) ).
thf(f26432,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f26419]) ).
thf(f26434,plain,
( spl0_62
| spl0_166
| ~ spl0_7
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f26431,f1084,f161,f13173,f1040]) ).
thf(f26472,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_224 ),
inference(constrained_superposition,[],[f688,f18786]) ).
thf(f26473,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_224 ),
inference(constrained_superposition,[],[f699,f18786]) ).
thf(f26484,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_7
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f26473]) ).
thf(f26488,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f26472]) ).
thf(f26491,plain,
( spl0_62
| spl0_275
| ~ spl0_7
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f26484,f14798,f161,f15612,f1040]) ).
thf(f26500,plain,
( spl0_275
| spl0_64
| ~ spl0_11
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f26488,f14798,f174,f1049,f15612]) ).
thf(f26501,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_62 ),
inference(avatar_component_clause,[],[f1040]) ).
thf(f26503,plain,
( spl0_93
| spl0_64
| ~ spl0_2
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f26432,f1084,f76,f1049,f2375]) ).
thf(f26510,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| spl0_62 ),
inference(constrained_superposition,[],[f26501,f77]) ).
thf(f26514,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| spl0_62 ),
inference(trivial_inequality_removal,[],[f26510]) ).
thf(f26621,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_261 ),
inference(constrained_superposition,[],[f15328,f135]) ).
thf(f26634,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f26621]) ).
thf(f26637,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_244
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f26634,f17122]) ).
thf(f26638,plain,
( ~ spl0_9
| spl0_244
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f26637,f15327,f15026,f168]) ).
thf(f26667,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_92
| ~ spl0_216 ),
inference(constrained_superposition,[],[f2371,f14664]) ).
thf(f26680,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_92
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f26667]) ).
thf(f26729,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_166
| ~ spl0_341 ),
inference(constrained_superposition,[],[f13174,f17880]) ).
thf(f26742,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_166
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f26729]) ).
thf(f26750,plain,
( $false
| ~ spl0_166
| ~ spl0_337
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f26742,f17865]) ).
thf(f26751,plain,
( ~ spl0_166
| ~ spl0_337
| ~ spl0_341 ),
inference(avatar_contradiction_clause,[],[f26750]) ).
thf(f26754,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_166
| ~ spl0_341 ),
inference(constrained_superposition,[],[f26742,f175]) ).
thf(f26756,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_166
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f26754]) ).
thf(f26757,plain,
( $false
| ~ spl0_11
| ~ spl0_166
| spl0_308
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f26756,f18052]) ).
thf(f26758,plain,
( ~ spl0_11
| ~ spl0_166
| spl0_308
| ~ spl0_341 ),
inference(avatar_contradiction_clause,[],[f26757]) ).
thf(f26790,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f49,f14637]) ).
thf(f26807,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f26790]) ).
thf(f26849,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_63
| ~ spl0_224 ),
inference(constrained_superposition,[],[f1047,f18786]) ).
thf(f26859,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_63
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f26849]) ).
thf(f27299,definition,
( spl0_413
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_413])],[avatar_definition]) ).
thf(f27300,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_413 ),
inference(avatar_component_clause,[],[f27299]) ).
thf(f27313,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f15947]) ).
thf(f27316,definition,
( spl0_414
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_414])],[avatar_definition]) ).
thf(f27317,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_414 ),
inference(avatar_component_clause,[],[f27316]) ).
thf(f27319,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f240]) ).
thf(f27329,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f15950]) ).
thf(f27333,definition,
( spl0_415
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_415])],[avatar_definition]) ).
thf(f27334,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_415 ),
inference(avatar_component_clause,[],[f27333]) ).
thf(f27350,definition,
( spl0_416
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_416])],[avatar_definition]) ).
thf(f27351,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_416 ),
inference(avatar_component_clause,[],[f27350]) ).
thf(f27364,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f16301]) ).
thf(f27369,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f965]) ).
thf(f27383,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_355 ),
inference(avatar_component_clause,[],[f18281]) ).
thf(f27386,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f1449]) ).
thf(f27399,definition,
( spl0_419
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_419])],[avatar_definition]) ).
thf(f27400,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_419 ),
inference(avatar_component_clause,[],[f27399]) ).
thf(f27509,definition,
( spl0_422
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_422])],[avatar_definition]) ).
thf(f27510,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_422 ),
inference(avatar_component_clause,[],[f27509]) ).
thf(f27550,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_396 ),
inference(constrained_superposition,[],[f21203,f27319]) ).
thf(f27555,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f32,f27319]) ).
thf(f27563,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f27550]) ).
thf(f27567,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f27555]) ).
thf(f27577,plain,
( ~ spl0_9
| ~ spl0_18
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f27563,f21202,f240,f168]) ).
thf(f27626,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56
| ~ spl0_371 ),
inference(constrained_superposition,[],[f18903,f27369]) ).
thf(f27627,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_56
| ~ spl0_399 ),
inference(constrained_superposition,[],[f21219,f27369]) ).
thf(f27628,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_56
| ~ spl0_398 ),
inference(constrained_superposition,[],[f21215,f27369]) ).
thf(f27651,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_56
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f27627]) ).
thf(f27653,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f27626]) ).
thf(f27655,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_56
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f27628]) ).
thf(f27667,plain,
( ~ spl0_84
| ~ spl0_56
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f27651,f21218,f965,f1449]) ).
thf(f27668,plain,
( ~ spl0_57
| ~ spl0_56
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f27653,f18902,f965,f969]) ).
thf(f27669,plain,
( ~ spl0_79
| ~ spl0_56
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f27655,f21214,f965,f1432]) ).
thf(f27674,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_213
| spl0_308 ),
inference(forward_subsumption_resolution,[],[f26807,f18052]) ).
thf(f27675,plain,
( ~ spl0_355
| ~ spl0_260
| spl0_293
| ~ spl0_92
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f26680,f14663,f2370,f16304,f15324,f18281]) ).
thf(f27676,plain,
( ~ spl0_260
| spl0_280
| ~ spl0_213
| spl0_308 ),
inference(avatar_split_clause,[],[f27674,f17193,f14636,f15906,f15324]) ).
thf(f27686,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_89 ),
inference(constrained_superposition,[],[f1975,f27386]) ).
thf(f27694,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f27686]) ).
thf(f27707,plain,
( ~ spl0_51
| ~ spl0_84
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f27694,f1974,f1449,f949]) ).
thf(f27713,definition,
( spl0_431
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_431])],[avatar_definition]) ).
thf(f27714,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_431 ),
inference(avatar_component_clause,[],[f27713]) ).
thf(f27717,definition,
( spl0_432
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_432])],[avatar_definition]) ).
thf(f27718,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_432 ),
inference(avatar_component_clause,[],[f27717]) ).
thf(f27790,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_39
| ~ spl0_355 ),
inference(constrained_superposition,[],[f442,f27383]) ).
thf(f27805,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_39
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f27790]) ).
thf(f27810,plain,
( spl0_253
| spl0_72
| ~ spl0_39
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f27805,f18281,f441,f1264,f15297]) ).
thf(f27835,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_259
| ~ spl0_391 ),
inference(constrained_superposition,[],[f21183,f15321]) ).
thf(f27842,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_259
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f27835]) ).
thf(f27849,plain,
( $false
| ~ spl0_234
| ~ spl0_259
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f27842,f15043]) ).
thf(f27850,plain,
( ~ spl0_234
| ~ spl0_259
| ~ spl0_391 ),
inference(avatar_contradiction_clause,[],[f27849]) ).
thf(f27883,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_247
| ~ spl0_292 ),
inference(constrained_superposition,[],[f15039,f27364]) ).
thf(f27911,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_247
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f27883]) ).
thf(f27916,definition,
( spl0_435
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_435])],[avatar_definition]) ).
thf(f27917,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_435 ),
inference(avatar_component_clause,[],[f27916]) ).
thf(f27989,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_213
| ~ spl0_362 ),
inference(constrained_superposition,[],[f18569,f14637]) ).
thf(f28007,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_213
| ~ spl0_362 ),
inference(trivial_inequality_removal,[],[f27989]) ).
thf(f28013,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_49
| ~ spl0_84 ),
inference(constrained_superposition,[],[f597,f27386]) ).
thf(f28017,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_49
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f28013]) ).
thf(f28022,plain,
( ~ spl0_57
| ~ spl0_51
| ~ spl0_49
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f28017,f1449,f596,f949,f969]) ).
thf(f28024,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_19
| ~ spl0_355 ),
inference(constrained_superposition,[],[f244,f27383]) ).
thf(f28025,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_18
| ~ spl0_19 ),
inference(constrained_superposition,[],[f244,f27319]) ).
thf(f28026,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f244,f56]) ).
thf(f28033,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_18
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f28025]) ).
thf(f28036,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f28026]) ).
thf(f28037,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_19
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f28024]) ).
thf(f28039,plain,
( spl0_413
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f28033,f243,f240,f27299]) ).
thf(f28040,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_14
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f28036,f21143]) ).
thf(f28041,plain,
( spl0_413
| spl0_14
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f28040,f243,f211,f27299]) ).
thf(f28045,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_413 ),
inference(constrained_superposition,[],[f27300,f31]) ).
thf(f28047,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f28045]) ).
thf(f28050,plain,
( spl0_422
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f28047,f27299,f27509]) ).
thf(f28056,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_19
| ~ spl0_213
| ~ spl0_355 ),
inference(constrained_superposition,[],[f28037,f14637]) ).
thf(f28058,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| ~ spl0_292
| ~ spl0_355 ),
inference(constrained_superposition,[],[f28037,f27364]) ).
thf(f28059,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_355 ),
inference(constrained_superposition,[],[f28037,f796]) ).
thf(f28067,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f28059]) ).
thf(f28070,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| ~ spl0_292
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f28058]) ).
thf(f28074,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_213
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f28056]) ).
thf(f28075,plain,
( ~ spl0_57
| spl0_259
| ~ spl0_19
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f28067,f18281,f243,f15320,f969]) ).
thf(f28076,plain,
( ~ spl0_57
| ~ spl0_19
| ~ spl0_292
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f28070,f18281,f16301,f243,f969]) ).
thf(f28077,plain,
( ~ spl0_320
| ~ spl0_19
| ~ spl0_213
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f28074,f18281,f14636,f243,f17308]) ).
thf(f28078,plain,
( ~ spl0_260
| ~ spl0_213
| ~ spl0_362 ),
inference(avatar_split_clause,[],[f28007,f18568,f14636,f15324]) ).
thf(f28088,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_414 ),
inference(avatar_component_clause,[],[f27316]) ).
thf(f28092,definition,
( spl0_440
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_440])],[avatar_definition]) ).
thf(f28093,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_440 ),
inference(avatar_component_clause,[],[f28092]) ).
thf(f28097,definition,
( spl0_441
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_441])],[avatar_definition]) ).
thf(f28098,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_441 ),
inference(avatar_component_clause,[],[f28097]) ).
thf(f28099,plain,
( ~ spl0_285
| ~ spl0_441
| ~ spl0_247
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f27911,f16301,f15038,f28097,f15950]) ).
thf(f28100,plain,
( ~ spl0_234
| ~ spl0_240
| ~ spl0_63
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f26859,f14798,f1046,f14945,f14878]) ).
thf(f28150,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_285
| ~ spl0_413 ),
inference(constrained_superposition,[],[f27300,f27329]) ).
thf(f28173,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_285
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f28150]) ).
thf(f28212,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_285
| ~ spl0_413 ),
inference(constrained_superposition,[],[f28173,f56]) ).
thf(f28215,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_285
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f28212]) ).
thf(f28246,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f29,f15298]) ).
thf(f28252,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f28246]) ).
thf(f28282,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_268
| ~ spl0_391 ),
inference(constrained_superposition,[],[f21183,f15359]) ).
thf(f28286,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_268
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f28282]) ).
thf(f28292,plain,
( $false
| ~ spl0_236
| ~ spl0_268
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f28286,f14890]) ).
thf(f28293,plain,
( ~ spl0_236
| ~ spl0_268
| ~ spl0_391 ),
inference(avatar_contradiction_clause,[],[f28292]) ).
thf(f28343,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_293
| ~ spl0_303 ),
inference(constrained_superposition,[],[f17065,f16305]) ).
thf(f28347,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_293
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f28343]) ).
thf(f28353,plain,
( $false
| ~ spl0_64
| ~ spl0_293
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f28347,f1050]) ).
thf(f28354,plain,
( ~ spl0_64
| ~ spl0_293
| ~ spl0_303 ),
inference(avatar_contradiction_clause,[],[f28353]) ).
thf(f28414,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_56
| ~ spl0_73 ),
inference(constrained_superposition,[],[f1269,f27369]) ).
thf(f28428,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_56
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f28414]) ).
thf(f28429,plain,
( ~ spl0_79
| ~ spl0_51
| ~ spl0_56
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f28428,f1268,f965,f949,f1432]) ).
thf(f28431,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_56
| ~ spl0_72 ),
inference(constrained_superposition,[],[f1265,f27369]) ).
thf(f28444,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f28431]) ).
thf(f28446,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56
| ~ spl0_72
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f28444,f27386]) ).
thf(f28447,plain,
( ~ spl0_51
| ~ spl0_56
| ~ spl0_72
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f28446,f1449,f1264,f965,f949]) ).
thf(f28461,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_386 ),
inference(constrained_superposition,[],[f29,f21161]) ).
thf(f28463,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f28461]) ).
thf(f28488,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f976,f135]) ).
thf(f28490,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f976,f56]) ).
thf(f28501,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_59 ),
inference(duplicate_literal_removal,[],[f28490]) ).
thf(f28502,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f28501]) ).
thf(f28504,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f28488]) ).
thf(f28506,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ~ spl0_59
| spl0_62 ),
inference(forward_subsumption_resolution,[],[f28502,f26501]) ).
thf(f28507,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_59
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f28504,f1977]) ).
thf(f28508,plain,
( spl0_15
| ~ spl0_59
| spl0_62 ),
inference(avatar_split_clause,[],[f28506,f1040,f975,f214]) ).
thf(f28509,plain,
( spl0_371
| ~ spl0_59
| spl0_85 ),
inference(avatar_split_clause,[],[f28507,f1471,f975,f18902]) ).
thf(f28512,plain,
( spl0_98
| ~ spl0_285
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f28215,f27299,f15950,f3579]) ).
thf(f28548,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_234 ),
inference(constrained_superposition,[],[f29,f15043]) ).
thf(f28549,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f28548]) ).
thf(f28895,definition,
( spl0_444
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_444])],[avatar_definition]) ).
thf(f28896,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_444 ),
inference(avatar_component_clause,[],[f28895]) ).
thf(f29007,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_262
| ~ spl0_274 ),
inference(constrained_superposition,[],[f15502,f15333]) ).
thf(f29015,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_262
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f29007]) ).
thf(f29021,plain,
( $false
| ~ spl0_12
| ~ spl0_262
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f29015,f192]) ).
thf(f29022,plain,
( ~ spl0_12
| ~ spl0_262
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f29021]) ).
thf(f29040,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_280 ),
inference(constrained_superposition,[],[f15907,f795]) ).
thf(f29052,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_280 ),
inference(trivial_inequality_removal,[],[f29040]) ).
thf(f29094,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_41
| ~ spl0_56 ),
inference(constrained_superposition,[],[f535,f27369]) ).
thf(f29101,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_41
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f29094]) ).
thf(f29109,plain,
( ~ spl0_51
| ~ spl0_41
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f29101,f965,f534,f949]) ).
thf(f29141,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_224
| ~ spl0_386 ),
inference(constrained_superposition,[],[f28463,f18786]) ).
thf(f29154,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_224
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f29141]) ).
thf(f29158,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_224
| ~ spl0_234
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f29154,f15043]) ).
thf(f29161,plain,
( spl0_225
| ~ spl0_224
| ~ spl0_234
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f29158,f21160,f14878,f14798,f14828]) ).
thf(f29224,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_272 ),
inference(constrained_superposition,[],[f15377,f795]) ).
thf(f29225,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_272 ),
inference(constrained_superposition,[],[f15377,f135]) ).
thf(f29235,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_272 ),
inference(duplicate_literal_removal,[],[f29224]) ).
thf(f29236,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f29235]) ).
thf(f29238,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f29225]) ).
thf(f29242,definition,
( spl0_445
<=> ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_445])],[avatar_definition]) ).
thf(f29243,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_445 ),
inference(avatar_component_clause,[],[f29242]) ).
thf(f29244,plain,
( spl0_293
| spl0_445
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f29236,f15376,f29242,f16304]) ).
thf(f29245,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_244
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[],[f29238,f17122]) ).
thf(f29246,plain,
( spl0_381
| spl0_244
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f29245,f15376,f15026,f20949]) ).
thf(f29324,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_215
| ~ spl0_232 ),
inference(constrained_superposition,[],[f19373,f14661]) ).
thf(f29330,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_215
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f29324]) ).
thf(f29338,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_215
| ~ spl0_232
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f29330,f15043]) ).
thf(f29341,plain,
( spl0_225
| ~ spl0_215
| ~ spl0_232
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f29338,f14878,f14869,f14660,f14828]) ).
thf(f29461,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f17319,f37]) ).
thf(f29465,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f29461]) ).
thf(f29474,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_308
| ~ spl0_323 ),
inference(forward_subsumption_resolution,[],[f29465,f18052]) ).
thf(f29475,plain,
( spl0_75
| spl0_308
| ~ spl0_323 ),
inference(avatar_split_clause,[],[f29474,f17318,f17193,f1338]) ).
thf(f29483,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_262
| ~ spl0_275 ),
inference(constrained_superposition,[],[f15613,f15333]) ).
thf(f29493,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_262
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f29483]) ).
thf(f29494,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12
| ~ spl0_262
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f29493,f192]) ).
thf(f29495,plain,
( $false
| ~ spl0_12
| ~ spl0_60
| ~ spl0_262
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f29494,f1023]) ).
thf(f29496,plain,
( ~ spl0_12
| ~ spl0_60
| ~ spl0_262
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[],[f29495]) ).
thf(f29499,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_162
| ~ spl0_224 ),
inference(constrained_superposition,[],[f13145,f18786]) ).
thf(f29510,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_162
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f29499]) ).
thf(f29515,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_162
| ~ spl0_224
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f29510,f15043]) ).
thf(f29517,plain,
( spl0_223
| ~ spl0_162
| ~ spl0_224
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f29515,f14878,f14798,f13144,f14795]) ).
thf(f29520,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_224
| ~ spl0_238 ),
inference(constrained_superposition,[],[f14920,f18786]) ).
thf(f29527,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_224
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f29520]) ).
thf(f29534,plain,
( $false
| ~ spl0_224
| ~ spl0_238
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f29527,f15333]) ).
thf(f29535,plain,
( ~ spl0_224
| ~ spl0_238
| ~ spl0_262 ),
inference(avatar_contradiction_clause,[],[f29534]) ).
thf(f29551,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_386 ),
inference(constrained_superposition,[],[f29,f21161]) ).
thf(f29555,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f29551]) ).
thf(f29560,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_65
| ~ spl0_162 ),
inference(constrained_superposition,[],[f13145,f1085]) ).
thf(f29572,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_65
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f29560]) ).
thf(f29575,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_16
| ~ spl0_65
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f29572,f219]) ).
thf(f29578,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_224
| ~ spl0_225 ),
inference(constrained_superposition,[],[f14829,f18786]) ).
thf(f29579,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_215
| ~ spl0_225 ),
inference(constrained_superposition,[],[f14829,f14661]) ).
thf(f29586,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_215
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f29579]) ).
thf(f29589,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_224
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f29578]) ).
thf(f29592,plain,
( $false
| ~ spl0_215
| ~ spl0_225
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f29586,f14890]) ).
thf(f29593,plain,
( ~ spl0_215
| ~ spl0_225
| ~ spl0_236 ),
inference(avatar_contradiction_clause,[],[f29592]) ).
thf(f29595,plain,
( $false
| ~ spl0_64
| ~ spl0_224
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f29589,f1050]) ).
thf(f29596,plain,
( ~ spl0_64
| ~ spl0_224
| ~ spl0_225 ),
inference(avatar_contradiction_clause,[],[f29595]) ).
thf(f29600,plain,
( spl0_75
| spl0_224
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f29052,f15906,f14798,f1338]) ).
thf(f29656,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_16
| ~ spl0_65
| ~ spl0_162
| ~ spl0_386 ),
inference(constrained_superposition,[],[f29575,f21161]) ).
thf(f29665,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_16
| ~ spl0_65
| ~ spl0_162
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f29656]) ).
thf(f29668,plain,
( $false
| ~ spl0_16
| ~ spl0_65
| ~ spl0_162
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f29665,f219]) ).
thf(f29669,plain,
( ~ spl0_16
| ~ spl0_65
| ~ spl0_162
| ~ spl0_386 ),
inference(avatar_contradiction_clause,[],[f29668]) ).
thf(f29670,plain,
( spl0_64
| ~ spl0_2
| spl0_62 ),
inference(avatar_split_clause,[],[f26514,f1040,f76,f1049]) ).
thf(f29674,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62 ),
inference(constrained_superposition,[],[f1198,f1041]) ).
thf(f29678,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_62 ),
inference(constrained_superposition,[],[f29,f1041]) ).
thf(f29679,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f29678]) ).
thf(f29681,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f29674]) ).
thf(f29684,plain,
( spl0_415
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f29681,f1040,f310,f191,f174,f27333]) ).
thf(f29703,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_223
| ~ spl0_234 ),
inference(constrained_superposition,[],[f14796,f15043]) ).
thf(f29712,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_223
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f29703]) ).
thf(f29713,plain,
( $false
| ~ spl0_223
| ~ spl0_234
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f29712,f21161]) ).
thf(f29714,plain,
( ~ spl0_223
| ~ spl0_234
| ~ spl0_386 ),
inference(avatar_contradiction_clause,[],[f29713]) ).
thf(f29721,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_65
| ~ spl0_386 ),
inference(constrained_superposition,[],[f29555,f1085]) ).
thf(f29727,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_65
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f29721]) ).
thf(f29732,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_16
| ~ spl0_65
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f29727,f219]) ).
thf(f29733,plain,
( spl0_70
| ~ spl0_16
| ~ spl0_65
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f29732,f21160,f1084,f218,f1177]) ).
thf(f29747,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_56
| ~ spl0_394 ),
inference(constrained_superposition,[],[f21194,f27369]) ).
thf(f29754,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_39
| ~ spl0_56 ),
inference(constrained_superposition,[],[f442,f27369]) ).
thf(f29769,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_39
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f29754]) ).
thf(f29771,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_56
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f29747]) ).
thf(f29778,plain,
( ~ spl0_81
| ~ spl0_56
| ~ spl0_394 ),
inference(avatar_split_clause,[],[f29771,f21193,f965,f1439]) ).
thf(f29805,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f976,f37]) ).
thf(f29813,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f29805]) ).
thf(f29828,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_55 ),
inference(constrained_superposition,[],[f963,f37]) ).
thf(f29838,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f29828]) ).
thf(f29905,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_211
| ~ spl0_340 ),
inference(constrained_superposition,[],[f20330,f14630]) ).
thf(f29910,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_211
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f29905]) ).
thf(f29918,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_211
| ~ spl0_234
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f29910,f15043]) ).
thf(f29921,plain,
( spl0_225
| ~ spl0_211
| ~ spl0_234
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f29918,f17875,f14878,f14629,f14828]) ).
thf(f29973,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_16
| ~ spl0_244 ),
inference(constrained_superposition,[],[f1134,f15027]) ).
thf(f29979,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f29973]) ).
thf(f30148,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_305 ),
inference(constrained_superposition,[],[f17081,f795]) ).
thf(f30151,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_305 ),
inference(constrained_superposition,[],[f17081,f56]) ).
thf(f30162,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f30151]) ).
thf(f30165,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f30148]) ).
thf(f30166,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_242
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f30162,f15044]) ).
thf(f30167,plain,
( spl0_293
| spl0_381
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f30165,f17080,f20949,f16304]) ).
thf(f30168,plain,
( spl0_371
| spl0_242
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f30166,f17080,f15018,f18902]) ).
thf(f30179,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_321 ),
inference(constrained_superposition,[],[f17312,f135]) ).
thf(f30192,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f30179]) ).
thf(f30202,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_16
| ~ spl0_244
| ~ spl0_264 ),
inference(constrained_superposition,[],[f29979,f15340]) ).
thf(f30209,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_16
| ~ spl0_244
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f30202]) ).
thf(f30212,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_12
| ~ spl0_16
| ~ spl0_244
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f30209,f192]) ).
thf(f30213,plain,
( $false
| ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_244
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f30212,f311]) ).
thf(f30214,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_244
| ~ spl0_264 ),
inference(avatar_contradiction_clause,[],[f30213]) ).
thf(f30247,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_405 ),
inference(constrained_superposition,[],[f24912,f14634]) ).
thf(f30259,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f30247]) ).
thf(f30261,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_311
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f30259,f17212]) ).
thf(f30274,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f17319,f795]) ).
thf(f30285,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_323 ),
inference(duplicate_literal_removal,[],[f30274]) ).
thf(f30286,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f30285]) ).
thf(f30291,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_212
| ~ spl0_311
| ~ spl0_323
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f30286,f30261]) ).
thf(f30292,plain,
( spl0_445
| ~ spl0_212
| ~ spl0_311
| ~ spl0_323
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f30291,f24911,f17318,f17211,f14633,f29242]) ).
thf(f30293,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_445 ),
inference(constrained_superposition,[],[f29243,f796]) ).
thf(f30298,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_445 ),
inference(constrained_superposition,[],[f29243,f37]) ).
thf(f30301,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_445 ),
inference(trivial_inequality_removal,[],[f30298]) ).
thf(f30304,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_445 ),
inference(trivial_inequality_removal,[],[f30293]) ).
thf(f30309,plain,
( $false
| spl0_64
| ~ spl0_445 ),
inference(forward_subsumption_resolution,[],[f30301,f21132]) ).
thf(f30310,plain,
( spl0_64
| ~ spl0_445 ),
inference(avatar_contradiction_clause,[],[f30309]) ).
thf(f30311,plain,
( spl0_132
| ~ spl0_445 ),
inference(avatar_split_clause,[],[f30304,f29242,f9001]) ).
thf(f30312,plain,
( spl0_445
| spl0_341
| ~ spl0_323 ),
inference(avatar_split_clause,[],[f30286,f17318,f17879,f29242]) ).
thf(f30352,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_237
| ~ spl0_268 ),
inference(constrained_superposition,[],[f14903,f15359]) ).
thf(f30360,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_237
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f30352]) ).
thf(f30365,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_237
| ~ spl0_259
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f30360,f15321]) ).
thf(f30368,plain,
( $false
| ~ spl0_62
| ~ spl0_237
| ~ spl0_259
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f30365,f1041]) ).
thf(f30369,plain,
( ~ spl0_62
| ~ spl0_237
| ~ spl0_259
| ~ spl0_268 ),
inference(avatar_contradiction_clause,[],[f30368]) ).
thf(f30413,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_432 ),
inference(constrained_superposition,[],[f27718,f56]) ).
thf(f30424,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_432 ),
inference(trivial_inequality_removal,[],[f30413]) ).
thf(f30447,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_94
| ~ spl0_222 ),
inference(constrained_superposition,[],[f2461,f14685]) ).
thf(f30460,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_94
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f30447]) ).
thf(f30463,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_94
| ~ spl0_222
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f30460,f17865]) ).
thf(f30466,plain,
( $false
| ~ spl0_94
| ~ spl0_222
| spl0_242
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f30463,f15044]) ).
thf(f30467,plain,
( ~ spl0_94
| ~ spl0_222
| spl0_242
| ~ spl0_337 ),
inference(avatar_contradiction_clause,[],[f30466]) ).
thf(f30468,plain,
( spl0_371
| spl0_337
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f30192,f17311,f17864,f18902]) ).
thf(f30491,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_235
| ~ spl0_268 ),
inference(constrained_superposition,[],[f14887,f15359]) ).
thf(f30502,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_235
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f30491]) ).
thf(f30504,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_85
| ~ spl0_235
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f30502,f1472]) ).
thf(f30507,plain,
( $false
| ~ spl0_85
| ~ spl0_235
| ~ spl0_259
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f30504,f15321]) ).
thf(f30508,plain,
( ~ spl0_85
| ~ spl0_235
| ~ spl0_259
| ~ spl0_268 ),
inference(avatar_contradiction_clause,[],[f30507]) ).
thf(f30527,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_253
| ~ spl0_259 ),
inference(constrained_superposition,[],[f28252,f15321]) ).
thf(f30532,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_253
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f30527]) ).
thf(f30541,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_85
| ~ spl0_253
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f30532,f1472]) ).
thf(f30544,plain,
( spl0_88
| ~ spl0_85
| ~ spl0_253
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f30541,f15320,f15297,f1471,f1969]) ).
thf(f30553,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_62
| ~ spl0_88 ),
inference(constrained_superposition,[],[f1970,f1041]) ).
thf(f30562,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_62
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f30553]) ).
thf(f30569,plain,
( $false
| ~ spl0_12
| ~ spl0_62
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f30562,f192]) ).
thf(f30570,plain,
( ~ spl0_12
| ~ spl0_62
| ~ spl0_88 ),
inference(avatar_contradiction_clause,[],[f30569]) ).
thf(f30582,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_355
| ~ spl0_399 ),
inference(constrained_superposition,[],[f21219,f27383]) ).
thf(f30583,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_41
| ~ spl0_355 ),
inference(constrained_superposition,[],[f535,f27383]) ).
thf(f30612,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_41
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f30583]) ).
thf(f30616,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_355
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f30582]) ).
thf(f30618,plain,
( ~ spl0_260
| ~ spl0_41
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f30612,f18281,f534,f15324]) ).
thf(f30619,plain,
( ~ spl0_284
| ~ spl0_355
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f30616,f21218,f18281,f15947]) ).
thf(f30642,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_59
| ~ spl0_292 ),
inference(constrained_superposition,[],[f976,f27364]) ).
thf(f30643,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_75
| ~ spl0_292 ),
inference(constrained_superposition,[],[f1339,f27364]) ).
thf(f30667,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_59
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f30642]) ).
thf(f30680,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_75
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f30643]) ).
thf(f30692,plain,
( spl0_282
| ~ spl0_59
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f30667,f16301,f975,f15917]) ).
thf(f30694,definition,
( spl0_446
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_446])],[avatar_definition]) ).
thf(f30695,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_446 ),
inference(avatar_component_clause,[],[f30694]) ).
thf(f30697,plain,
( ~ spl0_260
| ~ spl0_75
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f30680,f16301,f1338,f15324]) ).
thf(f30721,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_45
| ~ spl0_62 ),
inference(constrained_superposition,[],[f550,f1041]) ).
thf(f30733,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f30721]) ).
thf(f30736,plain,
( $false
| ~ spl0_45
| ~ spl0_62
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f30733,f21161]) ).
thf(f30737,plain,
( ~ spl0_45
| ~ spl0_62
| ~ spl0_386 ),
inference(avatar_contradiction_clause,[],[f30736]) ).
thf(f30740,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_55
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f29838,f21132]) ).
thf(f30741,plain,
( spl0_41
| ~ spl0_55
| spl0_64 ),
inference(avatar_split_clause,[],[f30740,f1049,f962,f534]) ).
thf(f30746,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_284 ),
inference(constrained_superposition,[],[f15948,f135]) ).
thf(f30748,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_284 ),
inference(constrained_superposition,[],[f15948,f38]) ).
thf(f30750,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_284 ),
inference(trivial_inequality_removal,[],[f30746]) ).
thf(f30753,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_284 ),
inference(trivial_inequality_removal,[],[f30748]) ).
thf(f30754,plain,
( $false
| spl0_240
| spl0_284 ),
inference(forward_subsumption_resolution,[],[f30750,f14950]) ).
thf(f30755,plain,
( spl0_240
| spl0_284 ),
inference(avatar_contradiction_clause,[],[f30754]) ).
thf(f30758,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_61
| spl0_284 ),
inference(forward_subsumption_resolution,[],[f30753,f14483]) ).
thf(f30762,plain,
( $false
| spl0_61
| spl0_240
| spl0_284 ),
inference(forward_subsumption_resolution,[],[f30758,f14950]) ).
thf(f30763,plain,
( spl0_61
| spl0_240
| spl0_284 ),
inference(avatar_contradiction_clause,[],[f30762]) ).
thf(f30764,plain,
( spl0_72
| spl0_65
| ~ spl0_39
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f29769,f965,f441,f1084,f1264]) ).
thf(f30841,definition,
( spl0_448
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_448])],[avatar_definition]) ).
thf(f30842,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_448 ),
inference(avatar_component_clause,[],[f30841]) ).
thf(f30854,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_39
| ~ spl0_355 ),
inference(constrained_superposition,[],[f442,f27383]) ).
thf(f30873,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f30854]) ).
thf(f30878,plain,
( spl0_72
| spl0_253
| ~ spl0_39
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f30873,f18281,f441,f15297,f1264]) ).
thf(f30942,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f122,f14675]) ).
thf(f30971,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f30942]) ).
thf(f30979,plain,
( spl0_289
| spl0_264
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f30971,f14674,f15339,f16285]) ).
thf(f31042,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f8877,f57]) ).
thf(f31049,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f31042]) ).
thf(f31052,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_18
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f31049,f27319]) ).
thf(f31053,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_18
| spl0_60
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f31052,f14917]) ).
thf(f31054,plain,
( ~ spl0_1
| ~ spl0_18
| spl0_60
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f31053,f8876,f1022,f240,f73]) ).
thf(f31057,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_356 ),
inference(constrained_superposition,[],[f18285,f135]) ).
thf(f31064,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_356 ),
inference(duplicate_literal_removal,[],[f31057]) ).
thf(f31065,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f31064]) ).
thf(f31075,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| spl0_240
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f31065,f14950]) ).
thf(f31078,plain,
( spl0_384
| spl0_240
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f31075,f18284,f14945,f21148]) ).
thf(f31087,definition,
( spl0_450
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_450])],[avatar_definition]) ).
thf(f31088,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_450 ),
inference(avatar_component_clause,[],[f31087]) ).
thf(f31090,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_59
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f29813,f21132]) ).
thf(f31093,plain,
( spl0_17
| ~ spl0_59
| spl0_64 ),
inference(avatar_split_clause,[],[f31090,f1049,f975,f221]) ).
thf(f31151,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_62
| ~ spl0_224 ),
inference(constrained_superposition,[],[f29679,f18786]) ).
thf(f31168,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_62
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f31151]) ).
thf(f31170,plain,
( spl0_405
| ~ spl0_62
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f31168,f14798,f1040,f24911]) ).
thf(f31177,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_431 ),
inference(constrained_superposition,[],[f27714,f27364]) ).
thf(f31198,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_292
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f31177]) ).
thf(f31216,plain,
( ~ spl0_260
| spl0_446
| ~ spl0_292
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f31198,f27713,f16301,f30694,f15324]) ).
thf(f31222,definition,
( spl0_451
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_451])],[avatar_definition]) ).
thf(f31223,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_451 ),
inference(avatar_component_clause,[],[f31222]) ).
thf(f31229,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_18
| ~ spl0_432 ),
inference(forward_subsumption_resolution,[],[f30424,f27319]) ).
thf(f31231,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_386 ),
inference(avatar_component_clause,[],[f21160]) ).
thf(f31234,definition,
( spl0_452
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_452])],[avatar_definition]) ).
thf(f31235,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_452 ),
inference(avatar_component_clause,[],[f31234]) ).
thf(f31237,plain,
( spl0_62
| spl0_451
| ~ spl0_18
| ~ spl0_432 ),
inference(avatar_split_clause,[],[f31229,f27717,f240,f31222,f1040]) ).
thf(f31238,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_267 ),
inference(avatar_component_clause,[],[f15352]) ).
thf(f31250,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_64
| ~ spl0_415 ),
inference(constrained_superposition,[],[f27334,f1050]) ).
thf(f31253,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_64
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f31250]) ).
thf(f31254,plain,
( $false
| ~ spl0_28
| ~ spl0_64
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f31253,f338]) ).
thf(f31255,plain,
( ~ spl0_28
| ~ spl0_64
| ~ spl0_415 ),
inference(avatar_contradiction_clause,[],[f31254]) ).
thf(f31309,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_446 ),
inference(constrained_superposition,[],[f30695,f795]) ).
thf(f31320,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_446 ),
inference(trivial_inequality_removal,[],[f31309]) ).
thf(f31382,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_411 ),
inference(constrained_superposition,[],[f25137,f57]) ).
thf(f31383,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_411 ),
inference(trivial_inequality_removal,[],[f31382]) ).
thf(f31396,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_360 ),
inference(constrained_superposition,[],[f18561,f37]) ).
thf(f31405,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f31396]) ).
thf(f31409,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_308
| ~ spl0_360 ),
inference(forward_subsumption_resolution,[],[f31405,f18052]) ).
thf(f31411,plain,
( spl0_41
| spl0_308
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f31409,f18560,f17193,f534]) ).
thf(f31419,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_409 ),
inference(constrained_superposition,[],[f25008,f57]) ).
thf(f31420,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_409 ),
inference(trivial_inequality_removal,[],[f31419]) ).
thf(f31447,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_65
| ~ spl0_162 ),
inference(constrained_superposition,[],[f13145,f1085]) ).
thf(f31453,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_65
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f31447]) ).
thf(f31460,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_16
| ~ spl0_65
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f31453,f219]) ).
thf(f31464,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_65
| ~ spl0_162
| ~ spl0_224 ),
inference(constrained_superposition,[],[f31460,f18786]) ).
thf(f31472,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_65
| ~ spl0_162
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f31464]) ).
thf(f31475,plain,
( $false
| ~ spl0_16
| ~ spl0_65
| ~ spl0_162
| ~ spl0_224
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f31472,f15298]) ).
thf(f31476,plain,
( ~ spl0_16
| ~ spl0_65
| ~ spl0_162
| ~ spl0_224
| ~ spl0_253 ),
inference(avatar_contradiction_clause,[],[f31475]) ).
thf(f31477,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_450 ),
inference(constrained_superposition,[],[f31088,f795]) ).
thf(f31478,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_284
| ~ spl0_450 ),
inference(constrained_superposition,[],[f31088,f27313]) ).
thf(f31479,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_450 ),
inference(constrained_superposition,[],[f31088,f135]) ).
thf(f31481,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_450 ),
inference(constrained_superposition,[],[f31088,f56]) ).
thf(f31486,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_284
| ~ spl0_450 ),
inference(trivial_inequality_removal,[],[f31478]) ).
thf(f31489,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_450 ),
inference(trivial_inequality_removal,[],[f31479]) ).
thf(f31490,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_450 ),
inference(trivial_inequality_removal,[],[f31481]) ).
thf(f31492,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_450 ),
inference(trivial_inequality_removal,[],[f31477]) ).
thf(f31495,plain,
( spl0_399
| ~ spl0_9
| ~ spl0_284
| ~ spl0_450 ),
inference(avatar_split_clause,[],[f31486,f31087,f15947,f168,f21218]) ).
thf(f31496,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| spl0_240
| ~ spl0_450 ),
inference(forward_subsumption_resolution,[],[f31489,f14950]) ).
thf(f31497,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_224
| ~ spl0_450 ),
inference(forward_subsumption_resolution,[],[f31492,f14799]) ).
thf(f31498,plain,
( ~ spl0_9
| spl0_399
| spl0_240
| ~ spl0_450 ),
inference(avatar_split_clause,[],[f31496,f31087,f14945,f21218,f168]) ).
thf(f31500,definition,
( spl0_453
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_453])],[avatar_definition]) ).
thf(f31501,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_453 ),
inference(avatar_component_clause,[],[f31500]) ).
thf(f31502,plain,
( spl0_453
| ~ spl0_51
| spl0_224
| ~ spl0_450 ),
inference(avatar_split_clause,[],[f31497,f31087,f14798,f949,f31500]) ).
thf(f31518,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_292
| ~ spl0_453 ),
inference(constrained_superposition,[],[f31501,f27364]) ).
thf(f31529,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_292
| ~ spl0_453 ),
inference(trivial_inequality_removal,[],[f31518]) ).
thf(f31535,plain,
( $false
| ~ spl0_284
| ~ spl0_292
| ~ spl0_453 ),
inference(forward_subsumption_resolution,[],[f31529,f27313]) ).
thf(f31536,plain,
( ~ spl0_284
| ~ spl0_292
| ~ spl0_453 ),
inference(avatar_contradiction_clause,[],[f31535]) ).
thf(f31624,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_435 ),
inference(constrained_superposition,[],[f27917,f36]) ).
thf(f31629,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_435 ),
inference(constrained_superposition,[],[f27917,f136]) ).
thf(f31630,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_435 ),
inference(constrained_superposition,[],[f27917,f57]) ).
thf(f31631,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f31624]) ).
thf(f31634,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f31630]) ).
thf(f31636,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f31629]) ).
thf(f31640,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_234
| ~ spl0_253 ),
inference(constrained_superposition,[],[f28549,f15298]) ).
thf(f31642,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_220
| ~ spl0_234 ),
inference(constrained_superposition,[],[f28549,f14678]) ).
thf(f31649,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_234
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f31640]) ).
thf(f31658,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_220
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f31642]) ).
thf(f31660,plain,
( spl0_233
| ~ spl0_220
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f31658,f14878,f14677,f14872]) ).
thf(f31666,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_234
| ~ spl0_253
| ~ spl0_259 ),
inference(constrained_superposition,[],[f31649,f15321]) ).
thf(f31669,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_234
| ~ spl0_253
| ~ spl0_262 ),
inference(constrained_superposition,[],[f31649,f15333]) ).
thf(f31672,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_234
| ~ spl0_253
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f31669]) ).
thf(f31680,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_234
| ~ spl0_253
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f31666]) ).
thf(f31681,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_25
| ~ spl0_234
| ~ spl0_253
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f31672,f311]) ).
thf(f31682,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_85
| ~ spl0_234
| ~ spl0_253
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f31680,f1472]) ).
thf(f31683,plain,
( $false
| ~ spl0_12
| ~ spl0_25
| ~ spl0_234
| ~ spl0_253
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f31681,f192]) ).
thf(f31684,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_234
| ~ spl0_253
| ~ spl0_262 ),
inference(avatar_contradiction_clause,[],[f31683]) ).
thf(f31685,plain,
( $false
| ~ spl0_64
| ~ spl0_85
| ~ spl0_234
| ~ spl0_253
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f31682,f1050]) ).
thf(f31686,plain,
( ~ spl0_64
| ~ spl0_85
| ~ spl0_234
| ~ spl0_253
| ~ spl0_259 ),
inference(avatar_contradiction_clause,[],[f31685]) ).
thf(f31687,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_409 ),
inference(forward_subsumption_resolution,[],[f31420,f27319]) ).
thf(f31688,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_98
| ~ spl0_450 ),
inference(forward_subsumption_resolution,[],[f31490,f15028]) ).
thf(f31689,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_411 ),
inference(forward_subsumption_resolution,[],[f31383,f27319]) ).
thf(f31690,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_224
| ~ spl0_446 ),
inference(forward_subsumption_resolution,[],[f31320,f14799]) ).
thf(f31692,plain,
( spl0_324
| ~ spl0_1
| ~ spl0_18
| ~ spl0_409 ),
inference(avatar_split_clause,[],[f31687,f25007,f240,f73,f17356]) ).
thf(f31693,plain,
( spl0_451
| ~ spl0_1
| spl0_98
| ~ spl0_450 ),
inference(avatar_split_clause,[],[f31688,f31087,f3579,f73,f31222]) ).
thf(f31694,plain,
( spl0_264
| ~ spl0_1
| ~ spl0_18
| ~ spl0_411 ),
inference(avatar_split_clause,[],[f31689,f25136,f240,f73,f15339]) ).
thf(f31695,plain,
( ~ spl0_84
| spl0_224
| ~ spl0_446 ),
inference(avatar_split_clause,[],[f31690,f30694,f14798,f1449]) ).
thf(f31705,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_60
| ~ spl0_166 ),
inference(constrained_superposition,[],[f13174,f1023]) ).
thf(f31718,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_60
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f31705]) ).
thf(f31724,plain,
( $false
| ~ spl0_12
| ~ spl0_60
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f31718,f192]) ).
thf(f31725,plain,
( ~ spl0_12
| ~ spl0_60
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f31724]) ).
thf(f31772,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_284 ),
inference(constrained_superposition,[],[f15948,f135]) ).
thf(f31776,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_284 ),
inference(trivial_inequality_removal,[],[f31772]) ).
thf(f31780,plain,
( spl0_240
| spl0_284 ),
inference(avatar_split_clause,[],[f31776,f15947,f14945]) ).
thf(f31800,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_179
| ~ spl0_355 ),
inference(constrained_superposition,[],[f13304,f27383]) ).
thf(f31804,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_71
| ~ spl0_355 ),
inference(constrained_superposition,[],[f1261,f27383]) ).
thf(f31822,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_179
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f31800]) ).
thf(f31834,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_71
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f31804]) ).
thf(f31839,definition,
( spl0_454
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_454])],[avatar_definition]) ).
thf(f31840,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_454 ),
inference(avatar_component_clause,[],[f31839]) ).
thf(f31841,plain,
( spl0_454
| ~ spl0_260
| ~ spl0_179
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f31822,f18281,f13303,f15324,f31839]) ).
thf(f31843,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_249
| spl0_308 ),
inference(constrained_superposition,[],[f18052,f15090]) ).
thf(f31847,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_249
| spl0_308 ),
inference(trivial_inequality_removal,[],[f31843]) ).
thf(f31849,plain,
( spl0_340
| ~ spl0_249
| spl0_308 ),
inference(avatar_split_clause,[],[f31847,f17193,f15089,f17875]) ).
thf(f31852,definition,
( spl0_455
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_455])],[avatar_definition]) ).
thf(f31853,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f31852]) ).
thf(f31854,plain,
( spl0_455
| ~ spl0_1
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f13848,f12380,f73,f31852]) ).
thf(f31856,plain,
( ~ spl0_260
| ~ spl0_441
| ~ spl0_71
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f31834,f18281,f1260,f28097,f15324]) ).
thf(f31857,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_441 ),
inference(constrained_superposition,[],[f28098,f37]) ).
thf(f31860,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_441 ),
inference(trivial_inequality_removal,[],[f31857]) ).
thf(f31866,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_451 ),
inference(constrained_superposition,[],[f31223,f27386]) ).
thf(f31868,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f31866]) ).
thf(f31875,plain,
( ~ spl0_57
| ~ spl0_84
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f31868,f31222,f1449,f969]) ).
thf(f31900,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_65
| ~ spl0_238 ),
inference(constrained_superposition,[],[f14920,f1085]) ).
thf(f31907,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_65
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f31900]) ).
thf(f31912,plain,
( $false
| ~ spl0_12
| ~ spl0_65
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f31907,f192]) ).
thf(f31913,plain,
( ~ spl0_12
| ~ spl0_65
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f31912]) ).
thf(f31914,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_253 ),
inference(avatar_component_clause,[],[f15297]) ).
thf(f31922,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_341 ),
inference(avatar_component_clause,[],[f17879]) ).
thf(f31958,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_238
| ~ spl0_386 ),
inference(constrained_superposition,[],[f14920,f21161]) ).
thf(f31966,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_238
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f31958]) ).
thf(f31967,plain,
( $false
| ~ spl0_25
| ~ spl0_238
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f31966,f311]) ).
thf(f31968,plain,
( ~ spl0_25
| ~ spl0_238
| ~ spl0_386 ),
inference(avatar_contradiction_clause,[],[f31967]) ).
thf(f31981,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl0_18
| ~ spl0_56 ),
inference(constrained_superposition,[],[f27567,f27369]) ).
thf(f32010,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_18
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f31981]) ).
thf(f32015,plain,
( spl0_59
| ~ spl0_57
| ~ spl0_18
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f32010,f965,f240,f969,f975]) ).
thf(f32080,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f80,f57]) ).
thf(f32087,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f32080]) ).
thf(f32131,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_309
| ~ spl0_319 ),
inference(constrained_superposition,[],[f17197,f17305]) ).
thf(f32141,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_309
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f32131]) ).
thf(f32144,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_62
| ~ spl0_309
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[],[f32141,f1041]) ).
thf(f32145,plain,
( $false
| ~ spl0_62
| ~ spl0_259
| ~ spl0_309
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[],[f32144,f15321]) ).
thf(f32146,plain,
( ~ spl0_62
| ~ spl0_259
| ~ spl0_309
| ~ spl0_319 ),
inference(avatar_contradiction_clause,[],[f32145]) ).
thf(f32248,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f71,f14682]) ).
thf(f32272,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f32248]) ).
thf(f32278,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_221
| spl0_242 ),
inference(forward_subsumption_resolution,[],[f32272,f15044]) ).
thf(f32279,plain,
( spl0_321
| ~ spl0_320
| ~ spl0_221
| spl0_242 ),
inference(avatar_split_clause,[],[f32278,f15018,f14681,f17308,f17311]) ).
thf(f32286,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_221 ),
inference(constrained_superposition,[],[f32087,f14682]) ).
thf(f32288,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_84 ),
inference(constrained_superposition,[],[f32087,f27386]) ).
thf(f32300,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f32288]) ).
thf(f32303,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f32286]) ).
thf(f32311,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| spl0_60
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f32300,f14917]) ).
thf(f32312,plain,
( ~ spl0_338
| spl0_264
| ~ spl0_3
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f32303,f14681,f79,f15339,f17868]) ).
thf(f32321,plain,
( ~ spl0_9
| ~ spl0_3
| spl0_60
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f32311,f1449,f1022,f79,f168]) ).
thf(f32324,definition,
( spl0_458
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_458])],[avatar_definition]) ).
thf(f32325,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_458 ),
inference(avatar_component_clause,[],[f32324]) ).
thf(f32329,definition,
( spl0_459
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_459])],[avatar_definition]) ).
thf(f32330,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_459 ),
inference(avatar_component_clause,[],[f32329]) ).
thf(f32331,plain,
( spl0_267
| spl0_459
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f31631,f27916,f32329,f15352]) ).
thf(f32334,plain,
( ( $true != $true )
| ~ spl0_355
| ~ spl0_384 ),
inference(constrained_superposition,[],[f21149,f27383]) ).
thf(f32342,plain,
( $false
| ~ spl0_355
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f32334]) ).
thf(f32343,plain,
( ~ spl0_355
| ~ spl0_384 ),
inference(avatar_contradiction_clause,[],[f32342]) ).
thf(f32352,definition,
( spl0_460
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_460])],[avatar_definition]) ).
thf(f32353,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_460 ),
inference(avatar_component_clause,[],[f32352]) ).
thf(f32354,plain,
( spl0_262
| spl0_460
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f31634,f27916,f32352,f15332]) ).
thf(f32360,definition,
( spl0_461
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_461])],[avatar_definition]) ).
thf(f32361,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_461 ),
inference(avatar_component_clause,[],[f32360]) ).
thf(f32362,plain,
( spl0_461
| spl0_253
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f31636,f27916,f15297,f32360]) ).
thf(f32371,definition,
( spl0_462
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_462])],[avatar_definition]) ).
thf(f32372,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_462 ),
inference(avatar_component_clause,[],[f32371]) ).
thf(f32383,definition,
( spl0_464
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_464])],[avatar_definition]) ).
thf(f32384,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_464 ),
inference(avatar_component_clause,[],[f32383]) ).
thf(f32417,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_65
| ~ spl0_162 ),
inference(constrained_superposition,[],[f13145,f1085]) ).
thf(f32424,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_65
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f32417]) ).
thf(f32429,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_16
| ~ spl0_65
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f32424,f219]) ).
thf(f32432,plain,
( spl0_462
| ~ spl0_16
| ~ spl0_65
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f32429,f13144,f1084,f218,f32371]) ).
thf(f32438,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_84 ),
inference(constrained_superposition,[],[f1450,f31]) ).
thf(f32440,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_84 ),
inference(trivial_inequality_removal,[],[f32438]) ).
thf(f32444,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_66
| spl0_84 ),
inference(forward_subsumption_resolution,[],[f32440,f14471]) ).
thf(f32446,plain,
( spl0_85
| spl0_66
| spl0_84 ),
inference(avatar_split_clause,[],[f32444,f1449,f1087,f1471]) ).
thf(f32455,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_182
| ~ spl0_285 ),
inference(constrained_superposition,[],[f19513,f27329]) ).
thf(f32456,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_23
| ~ spl0_285 ),
inference(constrained_superposition,[],[f292,f27329]) ).
thf(f32457,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_3
| ~ spl0_285 ),
inference(constrained_superposition,[],[f80,f27329]) ).
thf(f32471,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_182
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f32455]) ).
thf(f32475,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_23
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f32456]) ).
thf(f32484,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_3
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f32457]) ).
thf(f32485,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_419 ),
inference(avatar_component_clause,[],[f27399]) ).
thf(f32487,plain,
( spl0_259
| ~ spl0_182
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f32471,f15950,f13321,f15320]) ).
thf(f32488,plain,
( spl0_297
| spl0_253
| ~ spl0_23
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f32475,f15950,f291,f15297,f16322]) ).
thf(f32494,plain,
( spl0_295
| ~ spl0_3
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f32484,f15950,f79,f16313]) ).
thf(f32507,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_285 ),
inference(constrained_superposition,[],[f222,f27329]) ).
thf(f32515,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f32507]) ).
thf(f32516,plain,
( ~ spl0_260
| ~ spl0_17
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f32515,f15950,f221,f15324]) ).
thf(f32522,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_234
| ~ spl0_267 ),
inference(constrained_superposition,[],[f28549,f15353]) ).
thf(f32528,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_234
| ~ spl0_267 ),
inference(duplicate_literal_removal,[],[f32522]) ).
thf(f32529,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_234
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f32528]) ).
thf(f32567,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_234
| ~ spl0_262 ),
inference(constrained_superposition,[],[f28549,f15333]) ).
thf(f32572,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_234
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f32567]) ).
thf(f32578,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_419 ),
inference(constrained_superposition,[],[f32485,f56]) ).
thf(f32582,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_419 ),
inference(trivial_inequality_removal,[],[f32578]) ).
thf(f32585,plain,
( $false
| spl0_98
| spl0_419 ),
inference(forward_subsumption_resolution,[],[f32582,f15028]) ).
thf(f32586,plain,
( spl0_98
| spl0_419 ),
inference(avatar_contradiction_clause,[],[f32585]) ).
thf(f32631,definition,
( spl0_466
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_466])],[avatar_definition]) ).
thf(f32632,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_466 ),
inference(avatar_component_clause,[],[f32631]) ).
thf(f32651,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_14
| ~ spl0_70 ),
inference(constrained_superposition,[],[f1178,f212]) ).
thf(f32656,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_14
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f32651]) ).
thf(f32659,plain,
( $false
| ~ spl0_14
| ~ spl0_25
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[],[f32656,f311]) ).
thf(f32660,plain,
( ~ spl0_14
| ~ spl0_25
| ~ spl0_70 ),
inference(avatar_contradiction_clause,[],[f32659]) ).
thf(f33163,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ z ) )
| spl0_13 ),
inference(avatar_component_clause,[],[f194]) ).
thf(f33235,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| spl0_13 ),
inference(extensionality_resolution,[],[f866,f33163]) ).
thf(f33236,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ X1 ) ) ) )
| spl0_13 ),
inference(extensionality_resolution,[],[f866,f33163]) ).
thf(f33239,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_13 ),
inference(extensionality_resolution,[],[f133,f33163]) ).
thf(f33240,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_13 ),
inference(extensionality_resolution,[],[f133,f33163]) ).
thf(f33247,plain,
( spl0_219
| spl0_220
| spl0_13 ),
inference(avatar_split_clause,[],[f33239,f194,f14677,f14674]) ).
thf(f33249,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_355 ),
inference(constrained_superposition,[],[f1265,f27383]) ).
thf(f33256,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_126
| ~ spl0_355 ),
inference(constrained_superposition,[],[f8885,f27383]) ).
thf(f33263,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_126
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f33256]) ).
thf(f33269,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f33249]) ).
thf(f33321,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_85
| ~ spl0_415 ),
inference(constrained_superposition,[],[f27334,f1472]) ).
thf(f33322,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_415 ),
inference(constrained_superposition,[],[f27334,f175]) ).
thf(f33329,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f33322]) ).
thf(f33331,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_85
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f33321]) ).
thf(f33333,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_14
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f33329,f212]) ).
thf(f33334,plain,
( $false
| ~ spl0_14
| ~ spl0_85
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f33331,f212]) ).
thf(f33335,plain,
( ~ spl0_14
| ~ spl0_85
| ~ spl0_415 ),
inference(avatar_contradiction_clause,[],[f33334]) ).
thf(f33336,plain,
( $false
| ~ spl0_11
| ~ spl0_14
| spl0_64
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f33333,f21132]) ).
thf(f33337,plain,
( ~ spl0_11
| ~ spl0_14
| spl0_64
| ~ spl0_415 ),
inference(avatar_contradiction_clause,[],[f33336]) ).
thf(f33345,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_16
| ~ spl0_240 ),
inference(constrained_superposition,[],[f1134,f14946]) ).
thf(f33350,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f33345]) ).
thf(f33354,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_234
| ~ spl0_262
| ~ spl0_267 ),
inference(constrained_superposition,[],[f32529,f15333]) ).
thf(f33359,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_234
| ~ spl0_262
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f33354]) ).
thf(f33360,plain,
( $false
| ~ spl0_25
| ~ spl0_234
| ~ spl0_262
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f33359,f311]) ).
thf(f33361,plain,
( ~ spl0_25
| ~ spl0_234
| ~ spl0_262
| ~ spl0_267 ),
inference(avatar_contradiction_clause,[],[f33360]) ).
thf(f33363,definition,
( spl0_467
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_467])],[avatar_definition]) ).
thf(f33364,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_467 ),
inference(avatar_component_clause,[],[f33363]) ).
thf(f33366,plain,
( ~ spl0_284
| ~ spl0_260
| ~ spl0_72
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f33269,f18281,f1264,f15324,f15947]) ).
thf(f33396,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_386
| ~ spl0_462 ),
inference(constrained_superposition,[],[f32372,f21161]) ).
thf(f33397,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_386
| ~ spl0_462 ),
inference(trivial_inequality_removal,[],[f33396]) ).
thf(f33398,plain,
( $false
| ~ spl0_16
| ~ spl0_386
| ~ spl0_462 ),
inference(forward_subsumption_resolution,[],[f33397,f219]) ).
thf(f33399,plain,
( ~ spl0_16
| ~ spl0_386
| ~ spl0_462 ),
inference(avatar_contradiction_clause,[],[f33398]) ).
thf(f33405,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_453 ),
inference(constrained_superposition,[],[f31501,f37]) ).
thf(f33414,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_453 ),
inference(trivial_inequality_removal,[],[f33405]) ).
thf(f33416,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_64
| ~ spl0_453 ),
inference(forward_subsumption_resolution,[],[f33414,f21132]) ).
thf(f33417,plain,
( ~ spl0_9
| spl0_64
| ~ spl0_453 ),
inference(avatar_split_clause,[],[f33416,f31500,f1049,f168]) ).
thf(f33421,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_219 ),
inference(constrained_superposition,[],[f32087,f14675]) ).
thf(f33427,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_39
| ~ spl0_219 ),
inference(constrained_superposition,[],[f442,f14675]) ).
thf(f33433,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f33421]) ).
thf(f33435,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_39
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f33427]) ).
thf(f33448,plain,
( spl0_264
| ~ spl0_260
| ~ spl0_3
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f33433,f14674,f79,f15324,f15339]) ).
thf(f33450,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_39
| ~ spl0_219
| spl0_253 ),
inference(forward_subsumption_resolution,[],[f33435,f31914]) ).
thf(f33454,plain,
( spl0_411
| ~ spl0_39
| ~ spl0_219
| spl0_253 ),
inference(avatar_split_clause,[],[f33450,f15297,f14674,f441,f25136]) ).
thf(f33456,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_220
| ~ spl0_405 ),
inference(constrained_superposition,[],[f24912,f14678]) ).
thf(f33464,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_220
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f33456]) ).
thf(f33568,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_416 ),
inference(constrained_superposition,[],[f27351,f57]) ).
thf(f33572,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f33568]) ).
thf(f33584,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_416 ),
inference(constrained_superposition,[],[f33572,f37]) ).
thf(f33586,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f33584]) ).
thf(f33588,plain,
( spl0_156
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f33586,f27350,f12377]) ).
thf(f33724,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_293 ),
inference(avatar_component_clause,[],[f16304]) ).
thf(f33725,plain,
( ~ spl0_242
| ~ spl0_293
| ~ spl0_220
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f33464,f24911,f14677,f16304,f15018]) ).
thf(f33728,plain,
( spl0_215
| spl0_216
| spl0_13 ),
inference(avatar_split_clause,[],[f33240,f194,f14663,f14660]) ).
thf(f33736,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_337 ),
inference(avatar_component_clause,[],[f17864]) ).
thf(f33759,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_56 ),
inference(constrained_superposition,[],[f966,f38]) ).
thf(f33763,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_56 ),
inference(trivial_inequality_removal,[],[f33759]) ).
thf(f33766,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_13
| spl0_56 ),
inference(forward_subsumption_resolution,[],[f33763,f33163]) ).
thf(f33768,plain,
( spl0_65
| spl0_13
| spl0_56 ),
inference(avatar_split_clause,[],[f33766,f965,f194,f1084]) ).
thf(f33815,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_242 ),
inference(constrained_superposition,[],[f1198,f15019]) ).
thf(f33820,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f33815]) ).
thf(f33892,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29
| ~ spl0_355 ),
inference(constrained_superposition,[],[f341,f27383]) ).
thf(f33903,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f33892]) ).
thf(f33908,definition,
( spl0_469
<=> ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_469])],[avatar_definition]) ).
thf(f33909,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_469 ),
inference(avatar_component_clause,[],[f33908]) ).
thf(f33920,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f44,f14664]) ).
thf(f33922,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_39
| ~ spl0_216 ),
inference(constrained_superposition,[],[f442,f14664]) ).
thf(f33929,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_39
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f33922]) ).
thf(f33930,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f33920]) ).
thf(f33945,plain,
( spl0_97
| spl0_227
| ~ spl0_39
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f33929,f14663,f441,f14835,f3576]) ).
thf(f33946,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_216
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f33930,f31238]) ).
thf(f33949,definition,
( spl0_470
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_470])],[avatar_definition]) ).
thf(f33950,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_470 ),
inference(avatar_component_clause,[],[f33949]) ).
thf(f33955,plain,
( spl0_266
| ~ spl0_216
| spl0_267 ),
inference(avatar_split_clause,[],[f33946,f15352,f14663,f15349]) ).
thf(f33965,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_242 ),
inference(constrained_superposition,[],[f33820,f175]) ).
thf(f33972,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f33965]) ).
thf(f34005,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_114
| spl0_311 ),
inference(constrained_superposition,[],[f19340,f6668]) ).
thf(f34006,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_98
| ~ spl0_114 ),
inference(constrained_superposition,[],[f15028,f6668]) ).
thf(f34008,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_62
| ~ spl0_114 ),
inference(constrained_superposition,[],[f26501,f6668]) ).
thf(f34009,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_14
| ~ spl0_114 ),
inference(constrained_superposition,[],[f21143,f6668]) ).
thf(f34011,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_98
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f34006]) ).
thf(f34012,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_62
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f34008]) ).
thf(f34014,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_114
| spl0_311 ),
inference(trivial_inequality_removal,[],[f34005]) ).
thf(f34018,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_14
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f34009]) ).
thf(f34020,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_98
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f34011,f27]) ).
thf(f34021,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_62
| ~ spl0_114
| spl0_386 ),
inference(forward_subsumption_resolution,[],[f34012,f31231]) ).
thf(f34022,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_114
| spl0_311 ),
inference(forward_subsumption_resolution,[],[f34014,f27]) ).
thf(f34023,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_14
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f34018,f27]) ).
thf(f34025,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_98
| ~ spl0_114
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f34020,f31238]) ).
thf(f34026,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_62
| ~ spl0_114
| spl0_386 ),
inference(forward_subsumption_resolution,[],[f34021,f27]) ).
thf(f34027,plain,
( spl0_340
| spl0_312
| ~ spl0_114
| spl0_311 ),
inference(avatar_split_clause,[],[f34022,f17211,f6667,f17218,f17875]) ).
thf(f34028,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_13
| spl0_14
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f34023,f33163]) ).
thf(f34029,plain,
( spl0_226
| spl0_98
| ~ spl0_114
| spl0_267 ),
inference(avatar_split_clause,[],[f34025,f15352,f6667,f3579,f14831]) ).
thf(f34030,plain,
( $false
| spl0_61
| spl0_62
| ~ spl0_114
| spl0_386 ),
inference(forward_subsumption_resolution,[],[f34026,f14483]) ).
thf(f34031,plain,
( spl0_61
| spl0_62
| ~ spl0_114
| spl0_386 ),
inference(avatar_contradiction_clause,[],[f34030]) ).
thf(f34032,plain,
( $false
| spl0_13
| spl0_14
| spl0_38
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f34028,f1042]) ).
thf(f34033,plain,
( spl0_13
| spl0_14
| spl0_38
| ~ spl0_114 ),
inference(avatar_contradiction_clause,[],[f34032]) ).
thf(f34058,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_223
| ~ spl0_240 ),
inference(constrained_superposition,[],[f14796,f14946]) ).
thf(f34061,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_211
| ~ spl0_223 ),
inference(constrained_superposition,[],[f14796,f14630]) ).
thf(f34067,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_211
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f34061]) ).
thf(f34069,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_223
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f34058]) ).
thf(f34070,plain,
( ~ spl0_341
| ~ spl0_211
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f34067,f14795,f14629,f17879]) ).
thf(f34071,plain,
( $false
| ~ spl0_65
| ~ spl0_223
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f34069,f1085]) ).
thf(f34072,plain,
( ~ spl0_65
| ~ spl0_223
| ~ spl0_240 ),
inference(avatar_contradiction_clause,[],[f34071]) ).
thf(f34076,plain,
( spl0_236
| ~ spl0_14
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f33972,f15018,f310,f191,f174,f211,f14889]) ).
thf(f34096,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_62 ),
inference(constrained_superposition,[],[f554,f1041]) ).
thf(f34100,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_25
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f34096]) ).
thf(f34123,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_215 ),
inference(constrained_superposition,[],[f688,f14661]) ).
thf(f34124,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_215 ),
inference(constrained_superposition,[],[f1204,f14661]) ).
thf(f34126,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_11
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f34123]) ).
thf(f34127,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f34124]) ).
thf(f34131,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f1436,f135]) ).
thf(f34145,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f34131]) ).
thf(f34148,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_80
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f34145,f1977]) ).
thf(f34149,plain,
( spl0_451
| ~ spl0_80
| spl0_85 ),
inference(avatar_split_clause,[],[f34148,f1471,f1435,f31222]) ).
thf(f34156,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_25
| ~ spl0_62
| ~ spl0_65 ),
inference(constrained_superposition,[],[f34100,f1085]) ).
thf(f34157,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_25
| ~ spl0_62
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f34156]) ).
thf(f34158,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_14
| ~ spl0_25
| ~ spl0_62
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f34157,f212]) ).
thf(f34159,plain,
( $false
| ~ spl0_14
| ~ spl0_16
| ~ spl0_25
| ~ spl0_62
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f34158,f219]) ).
thf(f34160,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_25
| ~ spl0_62
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f34159]) ).
thf(f34185,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_29
| ~ spl0_56 ),
inference(constrained_superposition,[],[f341,f27369]) ).
thf(f34191,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_29
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f34185]) ).
thf(f34204,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_29
| ~ spl0_56
| spl0_60 ),
inference(forward_subsumption_resolution,[],[f34191,f14917]) ).
thf(f34207,plain,
( spl0_49
| ~ spl0_29
| ~ spl0_56
| spl0_60 ),
inference(avatar_split_clause,[],[f34204,f1022,f965,f340,f596]) ).
thf(f34213,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_12
| ~ spl0_16
| ~ spl0_244 ),
inference(constrained_superposition,[],[f1203,f15027]) ).
thf(f34216,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_12
| ~ spl0_16
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f34213]) ).
thf(f34298,plain,
( spl0_259
| spl0_133
| ~ spl0_126
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f33263,f18281,f8884,f9005,f15320]) ).
thf(f34304,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_84 ),
inference(constrained_superposition,[],[f1450,f38]) ).
thf(f34306,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_84 ),
inference(trivial_inequality_removal,[],[f34304]) ).
thf(f34310,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_13
| spl0_84 ),
inference(forward_subsumption_resolution,[],[f34306,f33163]) ).
thf(f34313,plain,
( spl0_85
| spl0_13
| spl0_84 ),
inference(avatar_split_clause,[],[f34310,f1449,f194,f1471]) ).
thf(f34333,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_292
| ~ spl0_460 ),
inference(constrained_superposition,[],[f32353,f27364]) ).
thf(f34366,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_460 ),
inference(trivial_inequality_removal,[],[f34333]) ).
thf(f34372,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_419
| ~ spl0_460 ),
inference(forward_subsumption_resolution,[],[f34366,f27400]) ).
thf(f34375,plain,
( ~ spl0_260
| ~ spl0_292
| ~ spl0_419
| ~ spl0_460 ),
inference(avatar_split_clause,[],[f34372,f32352,f27399,f16301,f15324]) ).
thf(f34386,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_80
| ~ spl0_292 ),
inference(constrained_superposition,[],[f1436,f27364]) ).
thf(f34402,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_80
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f34386]) ).
thf(f34409,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_80
| ~ spl0_292 ),
inference(constrained_superposition,[],[f34402,f796]) ).
thf(f34415,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_80
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f34409]) ).
thf(f34423,plain,
( ~ spl0_57
| spl0_259
| ~ spl0_80
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f34415,f16301,f1435,f15320,f969]) ).
thf(f34426,plain,
( spl0_236
| spl0_235
| ~ spl0_11
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f34126,f14660,f174,f14886,f14889]) ).
thf(f34427,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_215
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f34127,f14946]) ).
thf(f34428,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_16
| ~ spl0_215
| ~ spl0_234
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f34427,f15043]) ).
thf(f34429,plain,
( spl0_236
| ~ spl0_11
| ~ spl0_16
| ~ spl0_215
| ~ spl0_234
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f34428,f14945,f14878,f14660,f218,f174,f14889]) ).
thf(f34492,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_65 ),
inference(constrained_superposition,[],[f688,f1085]) ).
thf(f34496,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_65 ),
inference(duplicate_literal_removal,[],[f34492]) ).
thf(f34497,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_11
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f34496]) ).
thf(f34512,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_251 ),
inference(constrained_superposition,[],[f15099,f27386]) ).
thf(f34534,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_84
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f34512]) ).
thf(f34539,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_84
| ~ spl0_251
| spl0_386 ),
inference(forward_subsumption_resolution,[],[f34534,f31231]) ).
thf(f34541,plain,
( ~ spl0_81
| ~ spl0_84
| ~ spl0_251
| spl0_386 ),
inference(avatar_split_clause,[],[f34539,f21160,f15098,f1449,f1439]) ).
thf(f34542,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_234
| ~ spl0_259
| ~ spl0_262 ),
inference(constrained_superposition,[],[f32572,f15321]) ).
thf(f34553,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_234
| ~ spl0_259
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f34542]) ).
thf(f34557,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_62
| ~ spl0_234
| ~ spl0_259
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f34553,f1041]) ).
thf(f34559,plain,
( spl0_64
| spl0_166
| ~ spl0_11
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f34497,f1084,f174,f13173,f1049]) ).
thf(f34560,plain,
( ~ spl0_64
| ~ spl0_62
| ~ spl0_234
| ~ spl0_259
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f34557,f15332,f15320,f14878,f1040,f1049]) ).
thf(f34563,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_16
| ~ spl0_85 ),
inference(constrained_superposition,[],[f1203,f1472]) ).
thf(f34567,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_12
| ~ spl0_16
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f34563]) ).
thf(f34609,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_454 ),
inference(constrained_superposition,[],[f31840,f795]) ).
thf(f34610,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_454 ),
inference(constrained_superposition,[],[f31840,f135]) ).
thf(f34621,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_454 ),
inference(trivial_inequality_removal,[],[f34610]) ).
thf(f34623,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_454 ),
inference(trivial_inequality_removal,[],[f34609]) ).
thf(f34628,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_10
| ~ spl0_355 ),
inference(constrained_superposition,[],[f172,f27383]) ).
thf(f34629,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_10
| ~ spl0_18 ),
inference(constrained_superposition,[],[f172,f27319]) ).
thf(f34630,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f172,f56]) ).
thf(f34635,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_10
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f34629]) ).
thf(f34637,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f34630]) ).
thf(f34640,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_10
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f34628]) ).
thf(f34644,plain,
( spl0_17
| ~ spl0_10
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f34635,f240,f171,f221]) ).
thf(f34645,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_10
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f34637,f21143]) ).
thf(f34646,plain,
( spl0_295
| ~ spl0_10
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f34640,f18281,f171,f16313]) ).
thf(f34647,plain,
( spl0_17
| ~ spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f34645,f211,f171,f221]) ).
thf(f34819,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_16
| ~ spl0_212
| ~ spl0_240 ),
inference(constrained_superposition,[],[f33350,f14634]) ).
thf(f34820,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_16
| ~ spl0_220
| ~ spl0_240 ),
inference(constrained_superposition,[],[f33350,f14678]) ).
thf(f34822,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_16
| ~ spl0_240
| ~ spl0_262 ),
inference(constrained_superposition,[],[f33350,f15333]) ).
thf(f34824,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_16
| ~ spl0_220
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f34820]) ).
thf(f34825,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_16
| ~ spl0_240
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f34822]) ).
thf(f34826,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_16
| ~ spl0_212
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f34819]) ).
thf(f34827,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_16
| ~ spl0_220
| ~ spl0_240
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f34824,f15027]) ).
thf(f34828,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_16
| ~ spl0_25
| ~ spl0_240
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f34825,f311]) ).
thf(f34829,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_16
| ~ spl0_212
| ~ spl0_240
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f34826,f17865]) ).
thf(f34830,plain,
( $false
| ~ spl0_16
| ~ spl0_220
| ~ spl0_236
| ~ spl0_240
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f34827,f14890]) ).
thf(f34831,plain,
( ~ spl0_16
| ~ spl0_220
| ~ spl0_236
| ~ spl0_240
| ~ spl0_244 ),
inference(avatar_contradiction_clause,[],[f34830]) ).
thf(f34832,plain,
( $false
| ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_240
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f34828,f192]) ).
thf(f34833,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_240
| ~ spl0_262 ),
inference(avatar_contradiction_clause,[],[f34832]) ).
thf(f34834,plain,
( $false
| ~ spl0_16
| ~ spl0_212
| ~ spl0_240
| ~ spl0_308
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f34829,f17194]) ).
thf(f34835,plain,
( ~ spl0_16
| ~ spl0_212
| ~ spl0_240
| ~ spl0_308
| ~ spl0_337 ),
inference(avatar_contradiction_clause,[],[f34834]) ).
thf(f34836,plain,
( spl0_49
| spl0_262
| ~ spl0_29
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f33903,f18281,f340,f15332,f596]) ).
thf(f34838,plain,
( spl0_224
| ~ spl0_79
| ~ spl0_454 ),
inference(avatar_split_clause,[],[f34623,f31839,f1432,f14798]) ).
thf(f34840,plain,
( spl0_240
| ~ spl0_18
| ~ spl0_454 ),
inference(avatar_split_clause,[],[f34621,f31839,f240,f14945]) ).
thf(f34841,plain,
( ~ spl0_62
| ~ spl0_64
| ~ spl0_12
| ~ spl0_16
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f34567,f1471,f218,f191,f1049,f1040]) ).
thf(f34901,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_126
| ~ spl0_285 ),
inference(constrained_superposition,[],[f8885,f27329]) ).
thf(f34902,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_39
| ~ spl0_285 ),
inference(constrained_superposition,[],[f442,f27329]) ).
thf(f34916,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_39
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f34902]) ).
thf(f34920,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_126
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f34901]) ).
thf(f34968,definition,
( spl0_471
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_471])],[avatar_definition]) ).
thf(f34969,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_471 ),
inference(avatar_component_clause,[],[f34968]) ).
thf(f34987,plain,
( spl0_259
| spl0_134
| ~ spl0_126
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f34920,f15950,f8884,f9009,f15320]) ).
thf(f34990,definition,
( spl0_472
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_472])],[avatar_definition]) ).
thf(f34991,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_472 ),
inference(avatar_component_clause,[],[f34990]) ).
thf(f34993,plain,
( ~ spl0_242
| ~ spl0_236
| ~ spl0_12
| ~ spl0_16
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f34216,f15026,f218,f191,f14889,f15018]) ).
thf(f34995,definition,
( spl0_473
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_473])],[avatar_definition]) ).
thf(f34996,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_473 ),
inference(avatar_component_clause,[],[f34995]) ).
thf(f34999,definition,
( spl0_474
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_474])],[avatar_definition]) ).
thf(f35000,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_474 ),
inference(avatar_component_clause,[],[f34999]) ).
thf(f35013,plain,
( ( $true != $true )
| ~ spl0_15
| ~ spl0_285 ),
inference(constrained_superposition,[],[f215,f27329]) ).
thf(f35019,plain,
( $false
| ~ spl0_15
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f35013]) ).
thf(f35020,plain,
( ~ spl0_15
| ~ spl0_285 ),
inference(avatar_contradiction_clause,[],[f35019]) ).
thf(f35028,definition,
( spl0_476
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_476])],[avatar_definition]) ).
thf(f35029,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_476 ),
inference(avatar_component_clause,[],[f35028]) ).
thf(f35030,plain,
( ~ spl0_5
| spl0_14
| spl0_476
| spl0_13 ),
inference(avatar_split_clause,[],[f33236,f194,f35028,f211,f104]) ).
thf(f35031,plain,
( ~ spl0_5
| spl0_62
| spl0_209
| spl0_61 ),
inference(avatar_split_clause,[],[f14610,f1025,f14622,f1040,f104]) ).
thf(f35032,plain,
( spl0_73
| spl0_253
| ~ spl0_39
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f34916,f15950,f441,f15297,f1268]) ).
thf(f35039,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_9 ),
inference(constrained_superposition,[],[f169,f36]) ).
thf(f35041,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_9 ),
inference(trivial_inequality_removal,[],[f35039]) ).
thf(f35043,plain,
( $false
| spl0_9
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f35041,f1042]) ).
thf(f35044,plain,
( spl0_9
| spl0_38 ),
inference(avatar_contradiction_clause,[],[f35043]) ).
thf(f35049,plain,
( spl0_38
| spl0_9 ),
inference(avatar_split_clause,[],[f35041,f168,f438]) ).
thf(f35051,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_16
| ~ spl0_38 ),
inference(constrained_superposition,[],[f1134,f439]) ).
thf(f35053,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f29,f439]) ).
thf(f35055,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_16
| ~ spl0_38 ),
inference(duplicate_literal_removal,[],[f35051]) ).
thf(f35056,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_16
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f35055]) ).
thf(f35057,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f35053]) ).
thf(f35060,plain,
( spl0_167
| ~ spl0_16
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f35056,f438,f218,f13184]) ).
thf(f35061,plain,
( spl0_159
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f35057,f438,f13130]) ).
thf(f35063,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f29,f212]) ).
thf(f35064,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f35063]) ).
thf(f35072,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f29,f381]) ).
thf(f35076,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f35072]) ).
thf(f35119,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_234
| ~ spl0_267 ),
inference(constrained_superposition,[],[f28549,f15353]) ).
thf(f35122,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_234
| ~ spl0_267 ),
inference(duplicate_literal_removal,[],[f35119]) ).
thf(f35123,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_234
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f35122]) ).
thf(f35138,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_45 ),
inference(constrained_superposition,[],[f550,f212]) ).
thf(f35141,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f35138]) ).
thf(f35144,plain,
( $false
| ~ spl0_14
| ~ spl0_38
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f35141,f439]) ).
thf(f35145,plain,
( ~ spl0_14
| ~ spl0_38
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f35144]) ).
thf(f35154,plain,
( $false
| ~ spl0_50
| spl0_98 ),
inference(forward_subsumption_resolution,[],[f15028,f602]) ).
thf(f35155,plain,
( ~ spl0_50
| spl0_98 ),
inference(avatar_contradiction_clause,[],[f35154]) ).
thf(f35200,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_419 ),
inference(constrained_superposition,[],[f122,f27400]) ).
thf(f35209,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_419 ),
inference(constrained_superposition,[],[f32,f27400]) ).
thf(f35216,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f35209]) ).
thf(f35226,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f35200]) ).
thf(f35246,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_167
| ~ spl0_337 ),
inference(constrained_superposition,[],[f13185,f17865]) ).
thf(f35251,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_167
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f35246]) ).
thf(f35254,plain,
( ~ spl0_308
| ~ spl0_167
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f35251,f17864,f13184,f17193]) ).
thf(f35274,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_25
| ~ spl0_148 ),
inference(constrained_superposition,[],[f319,f10577]) ).
thf(f35292,plain,
( ( z
= ( s @ z ) )
| spl0_25
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f35274]) ).
thf(f35295,definition,
( spl0_477
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_477])],[avatar_definition]) ).
thf(f35296,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_477 ),
inference(avatar_component_clause,[],[f35295]) ).
thf(f35298,plain,
( $false
| spl0_25
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f35292,f27]) ).
thf(f35299,plain,
( spl0_25
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f35298]) ).
thf(f35303,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_167
| ~ spl0_240 ),
inference(constrained_superposition,[],[f13185,f14946]) ).
thf(f35307,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_167
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f35303]) ).
thf(f35310,plain,
( $false
| ~ spl0_167
| ~ spl0_234
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f35307,f15043]) ).
thf(f35311,plain,
( ~ spl0_167
| ~ spl0_234
| ~ spl0_240 ),
inference(avatar_contradiction_clause,[],[f35310]) ).
thf(f35339,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_234
| ~ spl0_259 ),
inference(constrained_superposition,[],[f28549,f15321]) ).
thf(f35343,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_234
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f35339]) ).
thf(f35363,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_414 ),
inference(constrained_superposition,[],[f28088,f795]) ).
thf(f35365,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_414 ),
inference(constrained_superposition,[],[f28088,f58]) ).
thf(f35366,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_414 ),
inference(constrained_superposition,[],[f28088,f38]) ).
thf(f35370,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_414 ),
inference(trivial_inequality_removal,[],[f35366]) ).
thf(f35371,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_414 ),
inference(trivial_inequality_removal,[],[f35365]) ).
thf(f35372,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_414 ),
inference(trivial_inequality_removal,[],[f35363]) ).
thf(f35429,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_261 ),
inference(constrained_superposition,[],[f15328,f795]) ).
thf(f35439,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f35429]) ).
thf(f35445,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_261
| spl0_293 ),
inference(forward_subsumption_resolution,[],[f35439,f33724]) ).
thf(f35446,plain,
( ~ spl0_51
| ~ spl0_261
| spl0_293 ),
inference(avatar_split_clause,[],[f35445,f16304,f15327,f949]) ).
thf(f35465,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_240
| ~ spl0_444 ),
inference(constrained_superposition,[],[f28896,f14946]) ).
thf(f35466,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_211
| ~ spl0_444 ),
inference(constrained_superposition,[],[f28896,f14630]) ).
thf(f35467,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_224
| ~ spl0_444 ),
inference(constrained_superposition,[],[f28896,f18786]) ).
thf(f35468,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_234
| ~ spl0_444 ),
inference(constrained_superposition,[],[f28896,f15043]) ).
thf(f35470,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_234
| ~ spl0_444 ),
inference(trivial_inequality_removal,[],[f35468]) ).
thf(f35471,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_240
| ~ spl0_444 ),
inference(trivial_inequality_removal,[],[f35465]) ).
thf(f35472,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_211
| ~ spl0_444 ),
inference(trivial_inequality_removal,[],[f35466]) ).
thf(f35473,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_224
| ~ spl0_444 ),
inference(trivial_inequality_removal,[],[f35467]) ).
thf(f35475,plain,
( $false
| ~ spl0_28
| ~ spl0_234
| ~ spl0_444 ),
inference(forward_subsumption_resolution,[],[f35470,f338]) ).
thf(f35476,plain,
( ~ spl0_28
| ~ spl0_234
| ~ spl0_444 ),
inference(avatar_contradiction_clause,[],[f35475]) ).
thf(f35477,plain,
( $false
| ~ spl0_14
| ~ spl0_240
| ~ spl0_444 ),
inference(forward_subsumption_resolution,[],[f35471,f212]) ).
thf(f35478,plain,
( ~ spl0_14
| ~ spl0_240
| ~ spl0_444 ),
inference(avatar_contradiction_clause,[],[f35477]) ).
thf(f35479,plain,
( $false
| ~ spl0_211
| ~ spl0_311
| ~ spl0_444 ),
inference(forward_subsumption_resolution,[],[f35472,f17212]) ).
thf(f35480,plain,
( ~ spl0_211
| ~ spl0_311
| ~ spl0_444 ),
inference(avatar_contradiction_clause,[],[f35479]) ).
thf(f35481,plain,
( $false
| ~ spl0_62
| ~ spl0_224
| ~ spl0_444 ),
inference(forward_subsumption_resolution,[],[f35473,f1041]) ).
thf(f35482,plain,
( ~ spl0_62
| ~ spl0_224
| ~ spl0_444 ),
inference(avatar_contradiction_clause,[],[f35481]) ).
thf(f35483,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f172,f136]) ).
thf(f35495,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f35483]) ).
thf(f35529,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_30
| ~ spl0_274 ),
inference(constrained_superposition,[],[f15502,f381]) ).
thf(f35533,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_30
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f35529]) ).
thf(f35534,plain,
( $false
| ~ spl0_30
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f35533,f381]) ).
thf(f35535,plain,
( ~ spl0_30
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f35534]) ).
thf(f35536,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_244
| ~ spl0_474 ),
inference(constrained_superposition,[],[f35000,f15027]) ).
thf(f35537,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_222
| ~ spl0_474 ),
inference(constrained_superposition,[],[f35000,f14685]) ).
thf(f35541,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_222
| ~ spl0_474 ),
inference(trivial_inequality_removal,[],[f35537]) ).
thf(f35543,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_244
| ~ spl0_474 ),
inference(trivial_inequality_removal,[],[f35536]) ).
thf(f35544,plain,
( $false
| ~ spl0_222
| ~ spl0_311
| ~ spl0_474 ),
inference(forward_subsumption_resolution,[],[f35541,f17212]) ).
thf(f35545,plain,
( ~ spl0_222
| ~ spl0_311
| ~ spl0_474 ),
inference(avatar_contradiction_clause,[],[f35544]) ).
thf(f35546,plain,
( $false
| ~ spl0_14
| ~ spl0_244
| ~ spl0_474 ),
inference(forward_subsumption_resolution,[],[f35543,f212]) ).
thf(f35547,plain,
( ~ spl0_14
| ~ spl0_244
| ~ spl0_474 ),
inference(avatar_contradiction_clause,[],[f35546]) ).
thf(f35585,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_337
| ~ spl0_472 ),
inference(constrained_superposition,[],[f34991,f17865]) ).
thf(f35586,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_217
| ~ spl0_472 ),
inference(constrained_superposition,[],[f34991,f14668]) ).
thf(f35589,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_217
| ~ spl0_472 ),
inference(trivial_inequality_removal,[],[f35586]) ).
thf(f35592,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_337
| ~ spl0_472 ),
inference(trivial_inequality_removal,[],[f35585]) ).
thf(f35593,plain,
( $false
| ~ spl0_217
| ~ spl0_242
| ~ spl0_472 ),
inference(forward_subsumption_resolution,[],[f35589,f15019]) ).
thf(f35594,plain,
( ~ spl0_217
| ~ spl0_242
| ~ spl0_472 ),
inference(avatar_contradiction_clause,[],[f35593]) ).
thf(f35595,plain,
( $false
| ~ spl0_14
| ~ spl0_337
| ~ spl0_472 ),
inference(forward_subsumption_resolution,[],[f35592,f212]) ).
thf(f35596,plain,
( ~ spl0_14
| ~ spl0_337
| ~ spl0_472 ),
inference(avatar_contradiction_clause,[],[f35595]) ).
thf(f35636,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_212
| ~ spl0_234
| ~ spl0_267 ),
inference(constrained_superposition,[],[f35123,f14634]) ).
thf(f35642,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_212
| ~ spl0_234
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f35636]) ).
thf(f35691,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_159
| ~ spl0_240 ),
inference(constrained_superposition,[],[f13131,f14946]) ).
thf(f35695,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_159
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f35691]) ).
thf(f35697,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_159
| ~ spl0_234
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f35695,f15043]) ).
thf(f35698,plain,
( spl0_225
| ~ spl0_159
| ~ spl0_234
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f35697,f14945,f14878,f13130,f14828]) ).
thf(f35746,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_30
| ~ spl0_267 ),
inference(constrained_superposition,[],[f35076,f15353]) ).
thf(f35755,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_30
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f35746]) ).
thf(f35767,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_28
| ~ spl0_30
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f35755,f338]) ).
thf(f35776,plain,
( spl0_45
| ~ spl0_28
| ~ spl0_30
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f35767,f15352,f380,f337,f549]) ).
thf(f35782,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_45
| ~ spl0_242 ),
inference(constrained_superposition,[],[f550,f15019]) ).
thf(f35786,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_45
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f35782]) ).
thf(f35792,plain,
( $false
| ~ spl0_45
| ~ spl0_232
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f35786,f14870]) ).
thf(f35793,plain,
( ~ spl0_45
| ~ spl0_232
| ~ spl0_242 ),
inference(avatar_contradiction_clause,[],[f35792]) ).
thf(f35795,definition,
( spl0_478
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_478])],[avatar_definition]) ).
thf(f35796,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_478 ),
inference(avatar_component_clause,[],[f35795]) ).
thf(f35803,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f29,f1023]) ).
thf(f35806,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f35803]) ).
thf(f35808,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f29,f15340]) ).
thf(f35809,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f35808]) ).
thf(f35817,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_65
| ~ spl0_402 ),
inference(constrained_superposition,[],[f21861,f1085]) ).
thf(f35818,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_227
| ~ spl0_402 ),
inference(constrained_superposition,[],[f21861,f14836]) ).
thf(f35820,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_16
| ~ spl0_402 ),
inference(constrained_superposition,[],[f21861,f219]) ).
thf(f35822,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_227
| ~ spl0_402 ),
inference(trivial_inequality_removal,[],[f35818]) ).
thf(f35823,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_16
| ~ spl0_402 ),
inference(trivial_inequality_removal,[],[f35820]) ).
thf(f35825,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_65
| ~ spl0_402 ),
inference(trivial_inequality_removal,[],[f35817]) ).
thf(f35827,plain,
( $false
| ~ spl0_227
| ~ spl0_242
| ~ spl0_402 ),
inference(forward_subsumption_resolution,[],[f35822,f15019]) ).
thf(f35828,plain,
( ~ spl0_227
| ~ spl0_242
| ~ spl0_402 ),
inference(avatar_contradiction_clause,[],[f35827]) ).
thf(f35829,plain,
( $false
| ~ spl0_16
| ~ spl0_28
| ~ spl0_402 ),
inference(forward_subsumption_resolution,[],[f35823,f338]) ).
thf(f35830,plain,
( ~ spl0_16
| ~ spl0_28
| ~ spl0_402 ),
inference(avatar_contradiction_clause,[],[f35829]) ).
thf(f35831,plain,
( $false
| ~ spl0_62
| ~ spl0_65
| ~ spl0_402 ),
inference(forward_subsumption_resolution,[],[f35825,f1041]) ).
thf(f35832,plain,
( ~ spl0_62
| ~ spl0_65
| ~ spl0_402 ),
inference(avatar_contradiction_clause,[],[f35831]) ).
thf(f35857,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_268
| ~ spl0_415 ),
inference(constrained_superposition,[],[f27334,f15359]) ).
thf(f35859,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_268
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f35857]) ).
thf(f35861,plain,
( $false
| ~ spl0_242
| ~ spl0_268
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f35859,f15019]) ).
thf(f35862,plain,
( ~ spl0_242
| ~ spl0_268
| ~ spl0_415 ),
inference(avatar_contradiction_clause,[],[f35861]) ).
thf(f35901,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_210
| ~ spl0_295 ),
inference(constrained_superposition,[],[f16314,f14627]) ).
thf(f35924,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_210
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f35901]) ).
thf(f35949,plain,
( ~ spl0_338
| ~ spl0_210
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f35924,f16313,f14626,f17868]) ).
thf(f35996,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_10
| ~ spl0_218 ),
inference(constrained_superposition,[],[f35495,f14671]) ).
thf(f35998,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10
| ~ spl0_84 ),
inference(constrained_superposition,[],[f35495,f27386]) ).
thf(f36006,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_10
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f35996]) ).
thf(f36013,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f35998]) ).
thf(f36027,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_269 ),
inference(constrained_superposition,[],[f15362,f36]) ).
thf(f36039,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f36027]) ).
thf(f36048,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_360 ),
inference(constrained_superposition,[],[f18561,f135]) ).
thf(f36056,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_360 ),
inference(duplicate_literal_removal,[],[f36048]) ).
thf(f36057,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f36056]) ).
thf(f36065,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| spl0_337
| ~ spl0_360 ),
inference(forward_subsumption_resolution,[],[f36057,f33736]) ).
thf(f36066,plain,
( spl0_384
| spl0_337
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f36065,f18560,f17864,f21148]) ).
thf(f36068,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_14 ),
inference(constrained_superposition,[],[f35064,f192]) ).
thf(f36070,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f36068]) ).
thf(f36071,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f36070]) ).
thf(f36072,plain,
( spl0_67
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f36071,f211,f191,f1121]) ).
thf(f36078,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_60
| ~ spl0_65 ),
inference(constrained_superposition,[],[f35806,f1085]) ).
thf(f36081,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_60
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f36078]) ).
thf(f36083,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_14
| ~ spl0_60
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f36081,f212]) ).
thf(f36084,plain,
( spl0_402
| ~ spl0_14
| ~ spl0_60
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f36083,f1084,f1022,f211,f21860]) ).
thf(f36167,definition,
( spl0_481
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_481])],[avatar_definition]) ).
thf(f36168,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_481 ),
inference(avatar_component_clause,[],[f36167]) ).
thf(f36170,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_481 ),
inference(constrained_superposition,[],[f36168,f36]) ).
thf(f36172,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_481 ),
inference(trivial_inequality_removal,[],[f36170]) ).
thf(f36174,plain,
( spl0_249
| ~ spl0_481 ),
inference(avatar_split_clause,[],[f36172,f36167,f15089]) ).
thf(f36176,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_5 ),
inference(constrained_superposition,[],[f105,f37]) ).
thf(f36177,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_5 ),
inference(constrained_superposition,[],[f105,f31]) ).
thf(f36178,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_5 ),
inference(trivial_inequality_removal,[],[f36176]) ).
thf(f36179,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| spl0_5 ),
inference(trivial_inequality_removal,[],[f36177]) ).
thf(f36180,plain,
( $false
| spl0_5
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f36178,f319]) ).
thf(f36181,plain,
( spl0_5
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f36180]) ).
thf(f36182,plain,
( ( z
= ( s @ z ) )
| spl0_5
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f36179,f319]) ).
thf(f36183,plain,
( $false
| spl0_5
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f36182,f27]) ).
thf(f36184,plain,
( spl0_5
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f36183]) ).
thf(f36186,plain,
( ~ spl0_308
| ~ spl0_212
| ~ spl0_234
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f35642,f15352,f14878,f14633,f17193]) ).
thf(f36187,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_13
| spl0_414 ),
inference(forward_subsumption_resolution,[],[f35371,f33163]) ).
thf(f36191,definition,
( spl0_482
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_482])],[avatar_definition]) ).
thf(f36192,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_482 ),
inference(avatar_component_clause,[],[f36191]) ).
thf(f36193,plain,
( spl0_482
| spl0_262
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f35226,f27399,f15332,f36191]) ).
thf(f36194,plain,
( spl0_65
| ~ spl0_9
| ~ spl0_10
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f36013,f1449,f171,f168,f1084]) ).
thf(f36195,plain,
( spl0_224
| spl0_414 ),
inference(avatar_split_clause,[],[f35372,f27316,f14798]) ).
thf(f36202,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_66
| spl0_414 ),
inference(forward_subsumption_resolution,[],[f35370,f14471]) ).
thf(f36204,plain,
( spl0_224
| spl0_13
| spl0_414 ),
inference(avatar_split_clause,[],[f36187,f27316,f194,f14798]) ).
thf(f36206,plain,
( spl0_224
| spl0_66
| spl0_414 ),
inference(avatar_split_clause,[],[f36202,f27316,f1087,f14798]) ).
thf(f36208,plain,
( spl0_335
| ~ spl0_270
| ~ spl0_10
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f36006,f14670,f171,f15367,f17854]) ).
thf(f36249,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_67
| ~ spl0_85 ),
inference(constrained_superposition,[],[f1122,f1472]) ).
thf(f36257,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_67
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f36249]) ).
thf(f36261,plain,
( $false
| ~ spl0_62
| ~ spl0_67
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f36257,f1041]) ).
thf(f36262,plain,
( ~ spl0_62
| ~ spl0_67
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f36261]) ).
thf(f36431,definition,
( spl0_484
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_484])],[avatar_definition]) ).
thf(f36432,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_484 ),
inference(avatar_component_clause,[],[f36431]) ).
thf(f36513,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_49
| ~ spl0_284 ),
inference(constrained_superposition,[],[f597,f27313]) ).
thf(f36521,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_49
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f36513]) ).
thf(f36548,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_419
| ~ spl0_422 ),
inference(constrained_superposition,[],[f27510,f27400]) ).
thf(f36549,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_419
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f36548]) ).
thf(f36555,plain,
( spl0_262
| spl0_226
| ~ spl0_419
| ~ spl0_422 ),
inference(avatar_split_clause,[],[f36549,f27509,f27399,f14831,f15332]) ).
thf(f36626,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_285
| ~ spl0_473 ),
inference(constrained_superposition,[],[f34996,f27329]) ).
thf(f36632,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_285
| ~ spl0_473 ),
inference(trivial_inequality_removal,[],[f36626]) ).
thf(f36644,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_478 ),
inference(constrained_superposition,[],[f35796,f37]) ).
thf(f36649,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_478 ),
inference(trivial_inequality_removal,[],[f36644]) ).
thf(f36656,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_64
| ~ spl0_478 ),
inference(forward_subsumption_resolution,[],[f36649,f21132]) ).
thf(f36657,plain,
( ~ spl0_5
| spl0_89
| spl0_64
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f36656,f35795,f1049,f1974,f104]) ).
thf(f36663,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_89
| ~ spl0_284 ),
inference(constrained_superposition,[],[f1975,f27313]) ).
thf(f36670,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_89
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f36663]) ).
thf(f36679,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_216
| ~ spl0_482 ),
inference(constrained_superposition,[],[f36192,f14664]) ).
thf(f36680,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_482 ),
inference(constrained_superposition,[],[f36192,f795]) ).
thf(f36692,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_482 ),
inference(trivial_inequality_removal,[],[f36680]) ).
thf(f36695,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_216
| ~ spl0_482 ),
inference(trivial_inequality_removal,[],[f36679]) ).
thf(f36714,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_345 ),
inference(constrained_superposition,[],[f17899,f36]) ).
thf(f36726,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f36714]) ).
thf(f36729,plain,
( ~ spl0_81
| ~ spl0_5
| spl0_340
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f36726,f17898,f17875,f104,f1439]) ).
thf(f36733,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_232
| ~ spl0_288 ),
inference(constrained_superposition,[],[f16174,f14870]) ).
thf(f36734,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_232
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f36733]) ).
thf(f36738,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_232
| ~ spl0_288
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f36734,f21161]) ).
thf(f36740,plain,
( $false
| ~ spl0_38
| ~ spl0_232
| ~ spl0_288
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f36738,f439]) ).
thf(f36741,plain,
( ~ spl0_38
| ~ spl0_232
| ~ spl0_288
| ~ spl0_386 ),
inference(avatar_contradiction_clause,[],[f36740]) ).
thf(f36761,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_264
| ~ spl0_268 ),
inference(constrained_superposition,[],[f35809,f15359]) ).
thf(f36762,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_227
| ~ spl0_264 ),
inference(constrained_superposition,[],[f35809,f14836]) ).
thf(f36765,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_227
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f36762]) ).
thf(f36767,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_264
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f36761]) ).
thf(f36769,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_227
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f36765,f212]) ).
thf(f36770,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_62
| ~ spl0_264
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f36767,f1041]) ).
thf(f36771,plain,
( spl0_402
| ~ spl0_14
| ~ spl0_227
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f36769,f15339,f14835,f211,f21860]) ).
thf(f36772,plain,
( spl0_415
| ~ spl0_62
| ~ spl0_264
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f36770,f15358,f15339,f1040,f27333]) ).
thf(f36774,definition,
( spl0_485
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_485])],[avatar_definition]) ).
thf(f36775,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_485 ),
inference(avatar_component_clause,[],[f36774]) ).
thf(f36776,plain,
( ~ spl0_255
| spl0_485
| ~ spl0_216
| ~ spl0_482 ),
inference(avatar_split_clause,[],[f36695,f36191,f14663,f36774,f15306]) ).
thf(f36779,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_485 ),
inference(constrained_superposition,[],[f36775,f795]) ).
thf(f36790,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_485 ),
inference(trivial_inequality_removal,[],[f36779]) ).
thf(f36796,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_293
| ~ spl0_485 ),
inference(forward_subsumption_resolution,[],[f36790,f33724]) ).
thf(f36798,plain,
( ~ spl0_79
| spl0_293
| ~ spl0_485 ),
inference(avatar_split_clause,[],[f36796,f36774,f16304,f1432]) ).
thf(f36810,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f29,f15340]) ).
thf(f36812,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f36810]) ).
thf(f36838,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_256 ),
inference(constrained_superposition,[],[f15310,f135]) ).
thf(f36842,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_256 ),
inference(constrained_superposition,[],[f15310,f37]) ).
thf(f36845,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f36838]) ).
thf(f36849,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f36842]) ).
thf(f36854,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_244
| ~ spl0_256 ),
inference(forward_subsumption_resolution,[],[f36845,f17122]) ).
thf(f36855,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_236
| ~ spl0_256 ),
inference(forward_subsumption_resolution,[],[f36849,f14943]) ).
thf(f36857,plain,
( spl0_371
| spl0_244
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f36854,f15309,f15026,f18902]) ).
thf(f36858,plain,
( spl0_17
| spl0_236
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f36855,f15309,f14889,f221]) ).
thf(f36861,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_305 ),
inference(constrained_superposition,[],[f17081,f135]) ).
thf(f36869,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_305 ),
inference(duplicate_literal_removal,[],[f36861]) ).
thf(f36870,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f36869]) ).
thf(f36877,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| spl0_244
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f36870,f17122]) ).
thf(f36878,plain,
( spl0_384
| spl0_244
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f36877,f17080,f15026,f21148]) ).
thf(f36886,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f29,f338]) ).
thf(f36887,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f36886]) ).
thf(f36932,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f29,f1472]) ).
thf(f36934,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f36932]) ).
thf(f36969,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f29,f17357]) ).
thf(f36970,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f36969]) ).
thf(f36972,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_285 ),
inference(constrained_superposition,[],[f102,f27329]) ).
thf(f36973,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f102,f37]) ).
thf(f36978,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_4
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f36972]) ).
thf(f36980,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f36973]) ).
thf(f36981,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_4
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f36980,f319]) ).
thf(f36982,plain,
( spl0_397
| ~ spl0_4
| spl0_25 ),
inference(avatar_split_clause,[],[f36981,f310,f101,f21208]) ).
thf(f36984,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f21209,f31]) ).
thf(f36986,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f36984]) ).
thf(f36999,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_285 ),
inference(constrained_superposition,[],[f36978,f136]) ).
thf(f37008,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f36999]) ).
thf(f37016,plain,
( ~ spl0_9
| spl0_253
| ~ spl0_4
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f37008,f15950,f101,f15297,f168]) ).
thf(f37027,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_384 ),
inference(constrained_superposition,[],[f21149,f37]) ).
thf(f37032,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f37027]) ).
thf(f37036,plain,
( spl0_16
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f37032,f21148,f218]) ).
thf(f37069,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_355 ),
inference(constrained_superposition,[],[f18282,f31]) ).
thf(f37070,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_355 ),
inference(trivial_inequality_removal,[],[f37069]) ).
thf(f37193,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f36986,f31]) ).
thf(f37195,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_397 ),
inference(duplicate_literal_removal,[],[f37193]) ).
thf(f37196,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f37195]) ).
thf(f37225,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_138 ),
inference(constrained_superposition,[],[f9069,f37]) ).
thf(f37234,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f37225]) ).
thf(f37307,plain,
( spl0_231
| spl0_253
| spl0_355 ),
inference(avatar_split_clause,[],[f37070,f18281,f15297,f14854]) ).
thf(f37312,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f29,f15298]) ).
thf(f37314,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f37312]) ).
thf(f37335,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_232
| ~ spl0_264 ),
inference(constrained_superposition,[],[f36812,f14870]) ).
thf(f37338,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_232
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f37335]) ).
thf(f37341,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_28
| ~ spl0_232
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f37338,f338]) ).
thf(f37343,plain,
( spl0_45
| ~ spl0_28
| ~ spl0_232
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f37341,f15339,f14869,f337,f549]) ).
thf(f37345,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_45
| ~ spl0_311 ),
inference(constrained_superposition,[],[f550,f17212]) ).
thf(f37349,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_45
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f37345]) ).
thf(f37352,plain,
( $false
| ~ spl0_45
| ~ spl0_311
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f37349,f17876]) ).
thf(f37353,plain,
( ~ spl0_45
| ~ spl0_311
| ~ spl0_340 ),
inference(avatar_contradiction_clause,[],[f37352]) ).
thf(f37367,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_432 ),
inference(constrained_superposition,[],[f27718,f37]) ).
thf(f37371,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_432 ),
inference(trivial_inequality_removal,[],[f37367]) ).
thf(f37383,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_435 ),
inference(constrained_superposition,[],[f27917,f796]) ).
thf(f37389,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f37383]) ).
thf(f37396,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_466 ),
inference(constrained_superposition,[],[f32632,f795]) ).
thf(f37413,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_466 ),
inference(trivial_inequality_removal,[],[f37396]) ).
thf(f37443,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_253 ),
inference(constrained_superposition,[],[f37314,f14634]) ).
thf(f37444,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_220
| ~ spl0_253 ),
inference(constrained_superposition,[],[f37314,f14678]) ).
thf(f37450,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_220
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f37444]) ).
thf(f37452,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f37443]) ).
thf(f37453,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_220
| ~ spl0_244
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f37450,f15027]) ).
thf(f37467,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_324
| ~ spl0_340 ),
inference(constrained_superposition,[],[f36970,f17876]) ).
thf(f37470,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_324
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f37467]) ).
thf(f37472,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_28
| ~ spl0_324
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f37470,f338]) ).
thf(f37473,plain,
( spl0_45
| ~ spl0_28
| ~ spl0_324
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f37472,f17875,f17356,f337,f549]) ).
thf(f37474,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_448 ),
inference(constrained_superposition,[],[f30842,f795]) ).
thf(f37489,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f37474]) ).
thf(f37536,definition,
( spl0_488
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_488])],[avatar_definition]) ).
thf(f37537,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_488 ),
inference(avatar_component_clause,[],[f37536]) ).
thf(f37538,plain,
( spl0_488
| ~ spl0_337
| ~ spl0_212
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f37452,f15297,f14633,f17864,f37536]) ).
thf(f37631,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_88
| ~ spl0_319 ),
inference(constrained_superposition,[],[f1970,f17305]) ).
thf(f37632,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_310
| ~ spl0_319 ),
inference(constrained_superposition,[],[f17208,f17305]) ).
thf(f37635,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_88
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f37631]) ).
thf(f37638,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_310
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f37632]) ).
thf(f37639,plain,
( $false
| ~ spl0_88
| ~ spl0_319
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f37635,f17865]) ).
thf(f37640,plain,
( ~ spl0_88
| ~ spl0_319
| ~ spl0_337 ),
inference(avatar_contradiction_clause,[],[f37639]) ).
thf(f37641,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_85
| ~ spl0_310
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[],[f37638,f1472]) ).
thf(f37642,plain,
( $false
| ~ spl0_85
| ~ spl0_259
| ~ spl0_310
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[],[f37641,f15321]) ).
thf(f37643,plain,
( ~ spl0_85
| ~ spl0_259
| ~ spl0_310
| ~ spl0_319 ),
inference(avatar_contradiction_clause,[],[f37642]) ).
thf(f37675,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_279 ),
inference(constrained_superposition,[],[f15892,f37]) ).
thf(f37678,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f37675]) ).
thf(f37686,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_236
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f37678,f14943]) ).
thf(f37687,plain,
( ~ spl0_5
| spl0_236
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f37686,f15891,f14889,f104]) ).
thf(f37697,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f122,f14682]) ).
thf(f37713,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f37697]) ).
thf(f37728,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_217
| ~ spl0_488 ),
inference(constrained_superposition,[],[f37537,f14668]) ).
thf(f37729,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_341
| ~ spl0_488 ),
inference(constrained_superposition,[],[f37537,f17880]) ).
thf(f37733,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_341
| ~ spl0_488 ),
inference(trivial_inequality_removal,[],[f37729]) ).
thf(f37734,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_217
| ~ spl0_488 ),
inference(trivial_inequality_removal,[],[f37728]) ).
thf(f37736,plain,
( $false
| ~ spl0_85
| ~ spl0_341
| ~ spl0_488 ),
inference(forward_subsumption_resolution,[],[f37733,f1472]) ).
thf(f37737,plain,
( ~ spl0_85
| ~ spl0_341
| ~ spl0_488 ),
inference(avatar_contradiction_clause,[],[f37736]) ).
thf(f37738,plain,
( $false
| ~ spl0_217
| ~ spl0_244
| ~ spl0_488 ),
inference(forward_subsumption_resolution,[],[f37734,f15027]) ).
thf(f37739,plain,
( ~ spl0_217
| ~ spl0_244
| ~ spl0_488 ),
inference(avatar_contradiction_clause,[],[f37738]) ).
thf(f37773,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f17319,f56]) ).
thf(f37781,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f37773]) ).
thf(f37788,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| spl0_311
| ~ spl0_323 ),
inference(forward_subsumption_resolution,[],[f37781,f19340]) ).
thf(f37790,plain,
( spl0_182
| spl0_311
| ~ spl0_323 ),
inference(avatar_split_clause,[],[f37788,f17318,f17211,f13321]) ).
thf(f37792,plain,
( spl0_365
| spl0_264
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f37713,f14681,f15339,f18584]) ).
thf(f37794,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_220
| ~ spl0_244
| ~ spl0_253
| ~ spl0_293 ),
inference(constrained_superposition,[],[f37453,f16305]) ).
thf(f37807,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_220
| ~ spl0_244
| ~ spl0_253
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f37794]) ).
thf(f37810,plain,
( $false
| ~ spl0_85
| ~ spl0_220
| ~ spl0_244
| ~ spl0_253
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f37807,f1472]) ).
thf(f37811,plain,
( ~ spl0_85
| ~ spl0_220
| ~ spl0_244
| ~ spl0_253
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f37810]) ).
thf(f37839,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_28
| ~ spl0_242 ),
inference(constrained_superposition,[],[f36887,f15019]) ).
thf(f37843,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_28
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f37839]) ).
thf(f37844,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_28
| ~ spl0_236
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f37843,f14890]) ).
thf(f37845,plain,
( spl0_303
| ~ spl0_28
| ~ spl0_236
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f37844,f15018,f14889,f337,f17064]) ).
thf(f37846,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_386
| ~ spl0_397 ),
inference(constrained_superposition,[],[f31231,f37196]) ).
thf(f37847,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_38
| ~ spl0_397 ),
inference(constrained_superposition,[],[f1042,f37196]) ).
thf(f37850,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_67
| ~ spl0_397 ),
inference(constrained_superposition,[],[f1122,f37196]) ).
thf(f37871,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_38
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f37847]) ).
thf(f37872,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_67
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f37850]) ).
thf(f37876,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_386
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f37846]) ).
thf(f37881,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_38
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f37871,f27]) ).
thf(f37882,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_67
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f37872,f27]) ).
thf(f37883,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_386
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f37876,f27]) ).
thf(f37884,plain,
( $false
| spl0_16
| spl0_38
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f37881,f599]) ).
thf(f37885,plain,
( spl0_16
| spl0_38
| ~ spl0_397 ),
inference(avatar_contradiction_clause,[],[f37884]) ).
thf(f37886,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_16
| ~ spl0_67
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f37882,f599]) ).
thf(f37887,plain,
( $false
| spl0_64
| spl0_386
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f37883,f21132]) ).
thf(f37888,plain,
( spl0_64
| spl0_386
| ~ spl0_397 ),
inference(avatar_contradiction_clause,[],[f37887]) ).
thf(f37889,plain,
( $false
| spl0_16
| ~ spl0_28
| ~ spl0_67
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f37886,f338]) ).
thf(f37890,plain,
( spl0_16
| ~ spl0_28
| ~ spl0_67
| ~ spl0_397 ),
inference(avatar_contradiction_clause,[],[f37889]) ).
thf(f37913,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_27
| ~ spl0_324 ),
inference(constrained_superposition,[],[f318,f17357]) ).
thf(f37917,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_27
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f37913]) ).
thf(f38026,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_211
| ~ spl0_225 ),
inference(constrained_superposition,[],[f14829,f14630]) ).
thf(f38033,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_211
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f38026]) ).
thf(f38106,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_212
| ~ spl0_275 ),
inference(constrained_superposition,[],[f15613,f14634]) ).
thf(f38107,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_220
| ~ spl0_275 ),
inference(constrained_superposition,[],[f15613,f14678]) ).
thf(f38111,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_220
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f38107]) ).
thf(f38112,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f38106]) ).
thf(f38114,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_220
| ~ spl0_244
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f38111,f15027]) ).
thf(f38117,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_49
| ~ spl0_284
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f36521,f27329]) ).
thf(f38118,plain,
( ~ spl0_293
| ~ spl0_220
| ~ spl0_244
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f38114,f15612,f15026,f14677,f16304]) ).
thf(f38119,plain,
( ~ spl0_308
| ~ spl0_211
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f38033,f14828,f14629,f17193]) ).
thf(f38121,plain,
( ~ spl0_308
| ~ spl0_27
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f37917,f17356,f317,f17193]) ).
thf(f38125,plain,
( ~ spl0_260
| ~ spl0_89
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f36670,f15947,f1974,f15324]) ).
thf(f38126,plain,
( spl0_46
| ~ spl0_285
| ~ spl0_473 ),
inference(avatar_split_clause,[],[f36632,f34995,f15950,f585]) ).
thf(f38128,plain,
( ~ spl0_260
| ~ spl0_49
| ~ spl0_284
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f38117,f15950,f15947,f596,f15324]) ).
thf(f38133,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| spl0_64
| ~ spl0_432 ),
inference(forward_subsumption_resolution,[],[f37371,f21132]) ).
thf(f38136,plain,
( spl0_89
| ~ spl0_21
| spl0_64
| ~ spl0_432 ),
inference(avatar_split_clause,[],[f38133,f27717,f1049,f250,f1974]) ).
thf(f38206,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_212
| ~ spl0_347 ),
inference(constrained_superposition,[],[f18055,f14634]) ).
thf(f38212,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_212
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f38206]) ).
thf(f38215,plain,
( $false
| ~ spl0_212
| ~ spl0_234
| ~ spl0_347 ),
inference(forward_subsumption_resolution,[],[f38212,f15043]) ).
thf(f38216,plain,
( ~ spl0_212
| ~ spl0_234
| ~ spl0_347 ),
inference(avatar_contradiction_clause,[],[f38215]) ).
thf(f38255,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_366 ),
inference(constrained_superposition,[],[f18592,f56]) ).
thf(f38263,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f38255]) ).
thf(f38270,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_311
| ~ spl0_366 ),
inference(forward_subsumption_resolution,[],[f38263,f19340]) ).
thf(f38272,plain,
( spl0_17
| spl0_311
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f38270,f18591,f17211,f221]) ).
thf(f38312,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_411 ),
inference(constrained_superposition,[],[f25137,f796]) ).
thf(f38317,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_411 ),
inference(trivial_inequality_removal,[],[f38312]) ).
thf(f38323,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_212
| ~ spl0_234
| ~ spl0_259 ),
inference(constrained_superposition,[],[f35343,f14634]) ).
thf(f38327,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_212
| ~ spl0_234
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f38323]) ).
thf(f38351,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_467 ),
inference(constrained_superposition,[],[f33364,f135]) ).
thf(f38367,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_467 ),
inference(trivial_inequality_removal,[],[f38351]) ).
thf(f38370,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_240
| ~ spl0_467 ),
inference(forward_subsumption_resolution,[],[f38367,f14950]) ).
thf(f38371,plain,
( ~ spl0_9
| spl0_398
| spl0_240
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f38370,f33363,f14945,f21214,f168]) ).
thf(f38395,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_233
| ~ spl0_264 ),
inference(constrained_superposition,[],[f14873,f15340]) ).
thf(f38396,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_233
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f38395]) ).
thf(f38403,plain,
( ~ spl0_337
| ~ spl0_341
| ~ spl0_212
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f38112,f15612,f14633,f17879,f17864]) ).
thf(f38404,plain,
( ~ spl0_308
| ~ spl0_341
| ~ spl0_212
| ~ spl0_234
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f38327,f15320,f14878,f14633,f17879,f17193]) ).
thf(f38405,plain,
( ~ spl0_51
| ~ spl0_56
| spl0_268
| ~ spl0_411 ),
inference(avatar_split_clause,[],[f38317,f25136,f15358,f965,f949]) ).
thf(f38408,definition,
( spl0_489
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_489])],[avatar_definition]) ).
thf(f38409,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_489 ),
inference(avatar_component_clause,[],[f38408]) ).
thf(f38410,plain,
( ~ spl0_57
| spl0_224
| spl0_489
| ~ spl0_482 ),
inference(avatar_split_clause,[],[f36692,f36191,f38408,f14798,f969]) ).
thf(f38411,plain,
( ~ spl0_81
| spl0_267
| ~ spl0_5
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f36039,f15361,f104,f15352,f1439]) ).
thf(f38413,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_262 ),
inference(avatar_component_clause,[],[f15332]) ).
thf(f38414,plain,
( ~ spl0_25
| ~ spl0_262
| ~ spl0_233
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f38396,f15339,f14872,f15332,f310]) ).
thf(f38416,plain,
( ~ spl0_56
| spl0_224
| spl0_453
| ~ spl0_448 ),
inference(avatar_split_clause,[],[f37489,f30841,f31500,f14798,f965]) ).
thf(f38417,plain,
( spl0_489
| ~ spl0_56
| spl0_224
| ~ spl0_466 ),
inference(avatar_split_clause,[],[f37413,f32631,f14798,f965,f38408]) ).
thf(f38503,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_234
| ~ spl0_262 ),
inference(constrained_superposition,[],[f28549,f15333]) ).
thf(f38504,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_262 ),
inference(constrained_superposition,[],[f29,f15333]) ).
thf(f38505,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f38504]) ).
thf(f38507,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_234
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f38503]) ).
thf(f38508,plain,
( spl0_477
| ~ spl0_234
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f38507,f15332,f14878,f35295]) ).
thf(f38627,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_182 ),
inference(constrained_superposition,[],[f13322,f37]) ).
thf(f38632,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f38627]) ).
thf(f38638,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_64
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[],[f38632,f21132]) ).
thf(f38639,plain,
( ~ spl0_5
| spl0_64
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f38638,f13321,f1049,f104]) ).
thf(f38656,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f102,f57]) ).
thf(f38660,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f38656]) ).
thf(f38812,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_97
| ~ spl0_219 ),
inference(constrained_superposition,[],[f3577,f14675]) ).
thf(f38828,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_97
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f38812]) ).
thf(f39053,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_56 ),
inference(constrained_superposition,[],[f38660,f27369]) ).
thf(f39065,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f39053]) ).
thf(f39073,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_56
| spl0_60 ),
inference(forward_subsumption_resolution,[],[f39065,f14917]) ).
thf(f39074,plain,
( ~ spl0_9
| ~ spl0_4
| ~ spl0_56
| spl0_60 ),
inference(avatar_split_clause,[],[f39073,f1022,f965,f101,f168]) ).
thf(f39079,definition,
( spl0_493
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_493])],[avatar_definition]) ).
thf(f39080,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_493 ),
inference(avatar_component_clause,[],[f39079]) ).
thf(f39082,plain,
( ~ spl0_270
| ~ spl0_304
| ~ spl0_97
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f38828,f14674,f3576,f17077,f15367]) ).
thf(f39085,definition,
( spl0_494
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_494])],[avatar_definition]) ).
thf(f39086,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_494 ),
inference(avatar_component_clause,[],[f39085]) ).
thf(f39095,plain,
( spl0_259
| spl0_458
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f37389,f27916,f32324,f15320]) ).
thf(f39103,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f29,f338]) ).
thf(f39104,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f39103]) ).
thf(f39130,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_236 ),
inference(constrained_superposition,[],[f29,f14890]) ).
thf(f39131,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f39130]) ).
thf(f39133,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f29,f15298]) ).
thf(f39134,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f39133]) ).
thf(f39175,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_451 ),
inference(constrained_superposition,[],[f31223,f36]) ).
thf(f39183,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f39175]) ).
thf(f39188,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_38
| ~ spl0_451 ),
inference(forward_subsumption_resolution,[],[f39183,f1042]) ).
thf(f39189,plain,
( ~ spl0_5
| spl0_38
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f39188,f31222,f438,f104]) ).
thf(f39218,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_292
| ~ spl0_461 ),
inference(constrained_superposition,[],[f32361,f27364]) ).
thf(f39251,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_461 ),
inference(trivial_inequality_removal,[],[f39218]) ).
thf(f39255,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_284
| ~ spl0_292
| ~ spl0_461 ),
inference(forward_subsumption_resolution,[],[f39251,f27313]) ).
thf(f39256,plain,
( ~ spl0_260
| ~ spl0_284
| ~ spl0_292
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f39255,f32360,f16301,f15947,f15324]) ).
thf(f39321,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f80,f37]) ).
thf(f39324,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f39321]) ).
thf(f39325,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f39324]) ).
thf(f39329,plain,
( ! [X0: $i] :
( $true
!= ( b @ z @ X0 ) )
| ~ spl0_3
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f39325,f319]) ).
thf(f39330,plain,
( spl0_43
| ~ spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f39329,f310,f79,f541]) ).
thf(f39447,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_53
| ~ spl0_292 ),
inference(constrained_superposition,[],[f956,f27364]) ).
thf(f39450,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f956,f56]) ).
thf(f39457,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f39450]) ).
thf(f39464,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_53
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f39447]) ).
thf(f39465,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_53
| spl0_62 ),
inference(forward_subsumption_resolution,[],[f39457,f26501]) ).
thf(f39466,plain,
( spl0_295
| ~ spl0_53
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f39464,f16301,f955,f16313]) ).
thf(f39467,plain,
( spl0_17
| ~ spl0_53
| spl0_62 ),
inference(avatar_split_clause,[],[f39465,f1040,f955,f221]) ).
thf(f39497,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_381 ),
inference(constrained_superposition,[],[f20950,f796]) ).
thf(f39511,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f39497]) ).
thf(f39539,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f1265,f136]) ).
thf(f39550,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f39539]) ).
thf(f39553,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_14
| ~ spl0_28 ),
inference(constrained_superposition,[],[f39104,f212]) ).
thf(f39558,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_14
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f39553]) ).
thf(f39567,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_85
| ~ spl0_159 ),
inference(constrained_superposition,[],[f13131,f1472]) ).
thf(f39571,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_85
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f39567]) ).
thf(f39574,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_64
| ~ spl0_85
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f39571,f1050]) ).
thf(f39576,plain,
( spl0_391
| ~ spl0_64
| ~ spl0_85
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f39574,f13130,f1471,f1049,f21182]) ).
thf(f39600,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f16308,f56]) ).
thf(f39607,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f39600]) ).
thf(f39617,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| spl0_98
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f39607,f15028]) ).
thf(f39618,plain,
( spl0_182
| spl0_98
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f39617,f16307,f3579,f13321]) ).
thf(f39695,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_253
| ~ spl0_262 ),
inference(constrained_superposition,[],[f38505,f15298]) ).
thf(f39699,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_253
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f39695]) ).
thf(f39727,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_253
| ~ spl0_262 ),
inference(constrained_superposition,[],[f39134,f15333]) ).
thf(f39730,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_253
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f39727]) ).
thf(f39733,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_12
| ~ spl0_253
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f39730,f192]) ).
thf(f39734,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_85
| ~ spl0_253
| ~ spl0_262 ),
inference(constrained_superposition,[],[f39733,f1472]) ).
thf(f39737,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12
| ~ spl0_85
| ~ spl0_253
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f39734]) ).
thf(f39755,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_222
| ~ spl0_310 ),
inference(constrained_superposition,[],[f17208,f14685]) ).
thf(f39758,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_310
| ~ spl0_324 ),
inference(constrained_superposition,[],[f17208,f17357]) ).
thf(f39760,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_310
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f39758]) ).
thf(f39762,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_222
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f39755]) ).
thf(f39763,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_310
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f39760,f192]) ).
thf(f39766,plain,
( $false
| ~ spl0_12
| ~ spl0_262
| ~ spl0_310
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f39763,f15333]) ).
thf(f39767,plain,
( ~ spl0_12
| ~ spl0_262
| ~ spl0_310
| ~ spl0_324 ),
inference(avatar_contradiction_clause,[],[f39766]) ).
thf(f39769,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_266 ),
inference(constrained_superposition,[],[f15350,f36]) ).
thf(f39782,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f39769]) ).
thf(f39785,definition,
( spl0_495
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_495])],[avatar_definition]) ).
thf(f39786,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_495 ),
inference(avatar_component_clause,[],[f39785]) ).
thf(f39787,plain,
( spl0_495
| spl0_232
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f39782,f15349,f14869,f39785]) ).
thf(f39789,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_219
| ~ spl0_291 ),
inference(constrained_superposition,[],[f16298,f14675]) ).
thf(f39790,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_291 ),
inference(constrained_superposition,[],[f16298,f795]) ).
thf(f39791,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_291 ),
inference(constrained_superposition,[],[f16298,f135]) ).
thf(f39801,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f39791]) ).
thf(f39803,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_219
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f39789]) ).
thf(f39806,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $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 @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f39790]) ).
thf(f39808,definition,
( spl0_496
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_496])],[avatar_definition]) ).
thf(f39809,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_496 ),
inference(avatar_component_clause,[],[f39808]) ).
thf(f39810,plain,
( ~ spl0_260
| spl0_496
| ~ spl0_219
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f39803,f16297,f14674,f39808,f15324]) ).
thf(f39813,definition,
( spl0_497
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_497])],[avatar_definition]) ).
thf(f39814,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_497 ),
inference(avatar_component_clause,[],[f39813]) ).
thf(f39821,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_219
| ~ spl0_497 ),
inference(constrained_superposition,[],[f39814,f14675]) ).
thf(f39826,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219
| ~ spl0_497 ),
inference(trivial_inequality_removal,[],[f39821]) ).
thf(f39841,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_219
| ~ spl0_496 ),
inference(constrained_superposition,[],[f39809,f14675]) ).
thf(f39849,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219
| ~ spl0_496 ),
inference(trivial_inequality_removal,[],[f39841]) ).
thf(f39856,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_219
| ~ spl0_496 ),
inference(constrained_superposition,[],[f39849,f133]) ).
thf(f39857,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_219
| ~ spl0_496 ),
inference(constrained_superposition,[],[f39849,f58]) ).
thf(f39860,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_219
| ~ spl0_496 ),
inference(trivial_inequality_removal,[],[f39856]) ).
thf(f39863,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_219
| ~ spl0_496 ),
inference(trivial_inequality_removal,[],[f39857]) ).
thf(f39874,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_88
| ~ spl0_268 ),
inference(constrained_superposition,[],[f1970,f15359]) ).
thf(f39879,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_88
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f39874]) ).
thf(f39884,plain,
( $false
| ~ spl0_88
| ~ spl0_244
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f39879,f15027]) ).
thf(f39885,plain,
( ~ spl0_88
| ~ spl0_244
| ~ spl0_268 ),
inference(avatar_contradiction_clause,[],[f39884]) ).
thf(f39888,plain,
( ~ spl0_273
| ~ spl0_219
| ~ spl0_497 ),
inference(avatar_split_clause,[],[f39826,f39813,f14674,f15379]) ).
thf(f39931,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_419 ),
inference(constrained_superposition,[],[f35216,f795]) ).
thf(f39944,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f39931]) ).
thf(f39962,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_211
| ~ spl0_346 ),
inference(constrained_superposition,[],[f18043,f14630]) ).
thf(f39964,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_211
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f39962]) ).
thf(f39976,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_263 ),
inference(constrained_superposition,[],[f15336,f136]) ).
thf(f39980,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f39976]) ).
thf(f39988,definition,
( spl0_498
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_498])],[avatar_definition]) ).
thf(f39989,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_498 ),
inference(avatar_component_clause,[],[f39988]) ).
thf(f39990,plain,
( spl0_227
| spl0_498
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f39980,f15335,f39988,f14835]) ).
thf(f39992,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f16286,f795]) ).
thf(f39997,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f16286,f37]) ).
thf(f40002,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f39992]) ).
thf(f40003,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f39997]) ).
thf(f40035,definition,
( spl0_501
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_501])],[avatar_definition]) ).
thf(f40036,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_501 ),
inference(avatar_component_clause,[],[f40035]) ).
thf(f40040,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_352 ),
inference(constrained_superposition,[],[f18192,f135]) ).
thf(f40049,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_352 ),
inference(trivial_inequality_removal,[],[f40040]) ).
thf(f40055,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| spl0_337
| ~ spl0_352 ),
inference(forward_subsumption_resolution,[],[f40049,f33736]) ).
thf(f40057,definition,
( spl0_502
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_502])],[avatar_definition]) ).
thf(f40058,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_502 ),
inference(avatar_component_clause,[],[f40057]) ).
thf(f40059,plain,
( ~ spl0_9
| spl0_502
| spl0_337
| ~ spl0_352 ),
inference(avatar_split_clause,[],[f40055,f18191,f17864,f40057,f168]) ).
thf(f40065,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219
| ~ spl0_502 ),
inference(constrained_superposition,[],[f40058,f14675]) ).
thf(f40078,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219
| ~ spl0_502 ),
inference(trivial_inequality_removal,[],[f40065]) ).
thf(f40080,plain,
( ~ spl0_304
| ~ spl0_219
| ~ spl0_502 ),
inference(avatar_split_clause,[],[f40078,f40057,f14674,f17077]) ).
thf(f40081,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_217
| ~ spl0_236 ),
inference(constrained_superposition,[],[f39131,f14668]) ).
thf(f40083,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_236
| ~ spl0_268 ),
inference(constrained_superposition,[],[f39131,f15359]) ).
thf(f40084,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_217
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f40081]) ).
thf(f40086,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_236
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f40083]) ).
thf(f40088,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_215
| ~ spl0_236
| ~ spl0_268 ),
inference(constrained_superposition,[],[f40086,f14661]) ).
thf(f40091,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_215
| ~ spl0_236
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f40088]) ).
thf(f40093,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_215
| ~ spl0_234
| ~ spl0_236
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f40091,f15043]) ).
thf(f40094,plain,
( $false
| ~ spl0_215
| ~ spl0_224
| ~ spl0_234
| ~ spl0_236
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f40093,f18786]) ).
thf(f40095,plain,
( ~ spl0_215
| ~ spl0_224
| ~ spl0_234
| ~ spl0_236
| ~ spl0_268 ),
inference(avatar_contradiction_clause,[],[f40094]) ).
thf(f40096,plain,
( spl0_497
| spl0_293
| ~ spl0_51
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f39806,f16297,f949,f16304,f39813]) ).
thf(f40098,plain,
( spl0_244
| ~ spl0_9
| spl0_502
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f39801,f16297,f40057,f168,f15026]) ).
thf(f40099,plain,
( ~ spl0_57
| spl0_293
| spl0_497
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f40002,f16285,f39813,f16304,f969]) ).
thf(f40100,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_253
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f39699,f212]) ).
thf(f40102,plain,
( ~ spl0_244
| ~ spl0_220
| ~ spl0_222
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f39762,f17207,f14684,f14677,f15026]) ).
thf(f40103,plain,
( spl0_402
| ~ spl0_14
| ~ spl0_253
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f40100,f15332,f15297,f211,f21860]) ).
thf(f40110,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_66
| ~ spl0_219
| ~ spl0_496 ),
inference(forward_subsumption_resolution,[],[f39863,f14471]) ).
thf(f40111,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_13
| ~ spl0_219
| ~ spl0_496 ),
inference(forward_subsumption_resolution,[],[f39860,f33163]) ).
thf(f40113,plain,
( spl0_215
| spl0_66
| ~ spl0_219
| ~ spl0_496 ),
inference(avatar_split_clause,[],[f40110,f39808,f14674,f1087,f14660]) ).
thf(f40114,plain,
( spl0_215
| spl0_13
| ~ spl0_219
| ~ spl0_496 ),
inference(avatar_split_clause,[],[f40111,f39808,f14674,f194,f14660]) ).
thf(f40206,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_502 ),
inference(constrained_superposition,[],[f40058,f36]) ).
thf(f40212,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_502 ),
inference(constrained_superposition,[],[f40058,f796]) ).
thf(f40220,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_502 ),
inference(trivial_inequality_removal,[],[f40212]) ).
thf(f40223,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_502 ),
inference(trivial_inequality_removal,[],[f40206]) ).
thf(f40252,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_211
| ~ spl0_217
| ~ spl0_236 ),
inference(constrained_superposition,[],[f40084,f14630]) ).
thf(f40254,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_211
| ~ spl0_217
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f40252]) ).
thf(f40255,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_211
| ~ spl0_217
| ~ spl0_234
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f40254,f15043]) ).
thf(f40270,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f314,f796]) ).
thf(f40271,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_26
| ~ spl0_292 ),
inference(constrained_superposition,[],[f314,f27364]) ).
thf(f40280,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f40270]) ).
thf(f40290,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_26
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f40271]) ).
thf(f40298,definition,
( spl0_504
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_504])],[avatar_definition]) ).
thf(f40299,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_504 ),
inference(avatar_component_clause,[],[f40298]) ).
thf(f40302,plain,
( ~ spl0_51
| spl0_504
| spl0_60
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f40280,f313,f1022,f40298,f949]) ).
thf(f40303,plain,
( $false
| ~ spl0_211
| ~ spl0_215
| ~ spl0_217
| ~ spl0_234
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f14661,f40255]) ).
thf(f40304,plain,
( ~ spl0_211
| ~ spl0_215
| ~ spl0_217
| ~ spl0_234
| ~ spl0_236 ),
inference(avatar_contradiction_clause,[],[f40303]) ).
thf(f40305,plain,
( spl0_259
| ~ spl0_56
| ~ spl0_502 ),
inference(avatar_split_clause,[],[f40220,f40057,f965,f15320]) ).
thf(f40306,plain,
( spl0_60
| spl0_295
| ~ spl0_51
| ~ spl0_26
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f40290,f16301,f313,f949,f16313,f1022]) ).
thf(f40307,plain,
( ~ spl0_60
| ~ spl0_12
| ~ spl0_85
| ~ spl0_253
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f39737,f15332,f15297,f1471,f191,f1022]) ).
thf(f40312,plain,
( spl0_224
| ~ spl0_57
| spl0_59
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f39944,f27399,f975,f969,f14798]) ).
thf(f40315,plain,
( ~ spl0_215
| ~ spl0_240
| ~ spl0_211
| ~ spl0_346 ),
inference(avatar_split_clause,[],[f39964,f18042,f14629,f14945,f14660]) ).
thf(f40316,plain,
( ~ spl0_21
| spl0_267
| ~ spl0_502 ),
inference(avatar_split_clause,[],[f40223,f40057,f15352,f250]) ).
thf(f40333,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_445 ),
inference(constrained_superposition,[],[f29243,f56]) ).
thf(f40343,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_445 ),
inference(trivial_inequality_removal,[],[f40333]) ).
thf(f40346,plain,
( $false
| spl0_62
| ~ spl0_445 ),
inference(forward_subsumption_resolution,[],[f40343,f26501]) ).
thf(f40347,plain,
( spl0_62
| ~ spl0_445 ),
inference(avatar_contradiction_clause,[],[f40346]) ).
thf(f40359,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_60
| ~ spl0_162 ),
inference(constrained_superposition,[],[f13145,f1023]) ).
thf(f40360,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f29,f1023]) ).
thf(f40363,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f40359]) ).
thf(f40365,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f40360]) ).
thf(f40391,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f222,f31]) ).
thf(f40393,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f40391]) ).
thf(f40435,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f40393,f31]) ).
thf(f40437,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f40435]) ).
thf(f40466,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_355
| ~ spl0_381 ),
inference(constrained_superposition,[],[f39511,f27383]) ).
thf(f40471,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f49,f27383]) ).
thf(f40480,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_355
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f40466]) ).
thf(f40482,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f40471]) ).
thf(f40492,plain,
( spl0_259
| ~ spl0_355
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f40480,f20949,f18281,f15320]) ).
thf(f40540,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_292 ),
inference(constrained_superposition,[],[f16302,f58]) ).
thf(f40545,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_292 ),
inference(trivial_inequality_removal,[],[f40540]) ).
thf(f40575,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_124
| ~ spl0_414 ),
inference(constrained_superposition,[],[f8877,f27317]) ).
thf(f40595,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_124
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f40575]) ).
thf(f40602,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_124
| ~ spl0_355
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f40595,f27383]) ).
thf(f40606,plain,
( ~ spl0_260
| ~ spl0_124
| ~ spl0_355
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f40602,f27316,f18281,f8876,f15324]) ).
thf(f40612,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_489 ),
inference(constrained_superposition,[],[f38409,f796]) ).
thf(f40617,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_489 ),
inference(constrained_superposition,[],[f38409,f37]) ).
thf(f40624,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_489 ),
inference(trivial_inequality_removal,[],[f40617]) ).
thf(f40625,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_489 ),
inference(trivial_inequality_removal,[],[f40612]) ).
thf(f40648,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_91
| ~ spl0_337 ),
inference(constrained_superposition,[],[f2269,f17865]) ).
thf(f40653,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_91
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f40648]) ).
thf(f40658,plain,
( spl0_488
| ~ spl0_91
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f40653,f17864,f2268,f37536]) ).
thf(f40674,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_215
| ~ spl0_236 ),
inference(constrained_superposition,[],[f39131,f14661]) ).
thf(f40678,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_215
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f40674]) ).
thf(f40680,plain,
( spl0_233
| ~ spl0_215
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f40678,f14889,f14660,f14872]) ).
thf(f40689,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_322 ),
inference(constrained_superposition,[],[f17316,f58]) ).
thf(f40693,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_322 ),
inference(trivial_inequality_removal,[],[f40689]) ).
thf(f40706,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f956,f796]) ).
thf(f40720,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f40706]) ).
thf(f40726,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f1436,f56]) ).
thf(f40733,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f40726]) ).
thf(f40825,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f15371,f135]) ).
thf(f40833,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f40825]) ).
thf(f40842,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_244
| ~ spl0_271 ),
inference(forward_subsumption_resolution,[],[f40833,f17122]) ).
thf(f40844,plain,
( spl0_41
| spl0_244
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f40842,f15370,f15026,f534]) ).
thf(f40858,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f16308,f795]) ).
thf(f40874,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_294 ),
inference(duplicate_literal_removal,[],[f40858]) ).
thf(f40875,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f40874]) ).
thf(f40880,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| spl0_224
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f40875,f14799]) ).
thf(f40881,plain,
( spl0_445
| spl0_224
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f40880,f16307,f14798,f29242]) ).
thf(f40921,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_414
| ~ spl0_467 ),
inference(constrained_superposition,[],[f33364,f27317]) ).
thf(f40922,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_467 ),
inference(constrained_superposition,[],[f33364,f795]) ).
thf(f40926,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_467 ),
inference(constrained_superposition,[],[f33364,f56]) ).
thf(f40934,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_414
| ~ spl0_467 ),
inference(trivial_inequality_removal,[],[f40921]) ).
thf(f40937,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_467 ),
inference(trivial_inequality_removal,[],[f40926]) ).
thf(f40940,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_467 ),
inference(trivial_inequality_removal,[],[f40922]) ).
thf(f40942,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_494 ),
inference(constrained_superposition,[],[f39086,f36]) ).
thf(f40947,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_414
| ~ spl0_494 ),
inference(constrained_superposition,[],[f39086,f27317]) ).
thf(f40951,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_414
| ~ spl0_494 ),
inference(trivial_inequality_removal,[],[f40947]) ).
thf(f40957,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_494 ),
inference(trivial_inequality_removal,[],[f40942]) ).
thf(f40961,plain,
( spl0_97
| ~ spl0_414
| ~ spl0_494 ),
inference(avatar_split_clause,[],[f40951,f39085,f27316,f3576]) ).
thf(f40967,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f3577,f796]) ).
thf(f40970,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f3577,f57]) ).
thf(f40973,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f40967]) ).
thf(f40978,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f40970]) ).
thf(f40981,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_132
| ~ spl0_233 ),
inference(constrained_superposition,[],[f14873,f9002]) ).
thf(f40984,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_132
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f40981]) ).
thf(f40986,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_64
| ~ spl0_132
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f40984,f1050]) ).
thf(f40987,plain,
( $false
| ~ spl0_64
| ~ spl0_132
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f40986,f9002]) ).
thf(f40988,plain,
( ~ spl0_64
| ~ spl0_132
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f40987]) ).
thf(f40993,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_56
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f40973,f27369]) ).
thf(f40994,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_13
| spl0_292 ),
inference(forward_subsumption_resolution,[],[f40545,f33163]) ).
thf(f40996,plain,
( spl0_319
| spl0_226
| spl0_322 ),
inference(avatar_split_clause,[],[f40693,f17315,f14831,f17304]) ).
thf(f41003,plain,
( spl0_504
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f40720,f955,f40298]) ).
thf(f41004,plain,
( ~ spl0_51
| spl0_259
| ~ spl0_56
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f40993,f3576,f965,f15320,f949]) ).
thf(f41005,plain,
( spl0_259
| spl0_13
| spl0_292 ),
inference(avatar_split_clause,[],[f40994,f16301,f194,f15320]) ).
thf(f41015,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_233
| ~ spl0_268 ),
inference(constrained_superposition,[],[f14873,f15359]) ).
thf(f41023,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_233
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f41015]) ).
thf(f41025,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_233
| ~ spl0_259
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f41023,f15321]) ).
thf(f41026,plain,
( $false
| ~ spl0_64
| ~ spl0_233
| ~ spl0_259
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f41025,f1050]) ).
thf(f41027,plain,
( ~ spl0_64
| ~ spl0_233
| ~ spl0_259
| ~ spl0_268 ),
inference(avatar_contradiction_clause,[],[f41026]) ).
thf(f41035,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_238
| ~ spl0_341 ),
inference(constrained_superposition,[],[f14920,f17880]) ).
thf(f41046,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_238
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f41035]) ).
thf(f41049,plain,
( $false
| ~ spl0_238
| ~ spl0_324
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f41046,f17357]) ).
thf(f41050,plain,
( ~ spl0_238
| ~ spl0_324
| ~ spl0_341 ),
inference(avatar_contradiction_clause,[],[f41049]) ).
thf(f41052,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_341
| ~ spl0_347 ),
inference(constrained_superposition,[],[f18055,f17880]) ).
thf(f41058,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_341
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f41052]) ).
thf(f41060,plain,
( $false
| ~ spl0_64
| ~ spl0_341
| ~ spl0_347 ),
inference(forward_subsumption_resolution,[],[f41058,f1050]) ).
thf(f41061,plain,
( ~ spl0_64
| ~ spl0_341
| ~ spl0_347 ),
inference(avatar_contradiction_clause,[],[f41060]) ).
thf(f41062,plain,
( spl0_71
| spl0_386
| ~ spl0_494 ),
inference(avatar_split_clause,[],[f40957,f39085,f21160,f1260]) ).
thf(f41064,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_56
| ~ spl0_71 ),
inference(constrained_superposition,[],[f1261,f27369]) ).
thf(f41074,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_56
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f41064]) ).
thf(f41133,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_419
| ~ spl0_489 ),
inference(constrained_superposition,[],[f40625,f27400]) ).
thf(f41139,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_419
| ~ spl0_489 ),
inference(trivial_inequality_removal,[],[f41133]) ).
thf(f41143,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_493 ),
inference(constrained_superposition,[],[f39080,f36]) ).
thf(f41148,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_493 ),
inference(constrained_superposition,[],[f39080,f796]) ).
thf(f41151,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_493 ),
inference(constrained_superposition,[],[f39080,f57]) ).
thf(f41152,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_493 ),
inference(trivial_inequality_removal,[],[f41151]) ).
thf(f41154,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_493 ),
inference(trivial_inequality_removal,[],[f41143]) ).
thf(f41159,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_493 ),
inference(trivial_inequality_removal,[],[f41148]) ).
thf(f41200,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_233 ),
inference(constrained_superposition,[],[f14873,f40437]) ).
thf(f41208,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_17
| ~ spl0_162 ),
inference(constrained_superposition,[],[f13145,f40437]) ).
thf(f41217,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_17
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f41208]) ).
thf(f41228,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f41200]) ).
thf(f41230,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_414
| ~ spl0_504 ),
inference(constrained_superposition,[],[f40299,f27317]) ).
thf(f41248,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_414
| ~ spl0_504 ),
inference(trivial_inequality_removal,[],[f41230]) ).
thf(f41262,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_222
| ~ spl0_309 ),
inference(constrained_superposition,[],[f17197,f14685]) ).
thf(f41269,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_222
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f41262]) ).
thf(f41350,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_312 ),
inference(constrained_superposition,[],[f136,f17219]) ).
thf(f41460,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_312 ),
inference(forward_subsumption_resolution,[],[f41350,f30]) ).
thf(f41484,plain,
( $false
| ~ spl0_312 ),
inference(forward_subsumption_resolution,[],[f41460,f28]) ).
thf(f41485,plain,
~ spl0_312,
inference(avatar_contradiction_clause,[],[f41484]) ).
thf(f41487,plain,
( spl0_16
| ~ spl0_260
| spl0_280
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f40482,f18281,f15906,f15324,f218]) ).
thf(f41488,plain,
( spl0_70
| ~ spl0_16
| ~ spl0_14
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f39558,f337,f211,f218,f1177]) ).
thf(f41490,definition,
( spl0_507
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_507])],[avatar_definition]) ).
thf(f41491,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_507 ),
inference(avatar_component_clause,[],[f41490]) ).
thf(f41492,plain,
( spl0_236
| ~ spl0_5
| spl0_507
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f40003,f16285,f41490,f104,f14889]) ).
thf(f41493,plain,
( spl0_259
| ~ spl0_419
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f41139,f38408,f27399,f15320]) ).
thf(f41495,definition,
( spl0_508
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_508])],[avatar_definition]) ).
thf(f41496,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_508 ),
inference(avatar_component_clause,[],[f41495]) ).
thf(f41498,plain,
( spl0_259
| ~ spl0_51
| ~ spl0_414
| ~ spl0_504 ),
inference(avatar_split_clause,[],[f41248,f40298,f27316,f949,f15320]) ).
thf(f41499,plain,
( spl0_124
| spl0_259
| ~ spl0_493 ),
inference(avatar_split_clause,[],[f41159,f39079,f15320,f8876]) ).
thf(f41500,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_17
| spl0_61
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f41217,f14483]) ).
thf(f41501,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_233
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f41228,f15333]) ).
thf(f41502,plain,
( spl0_238
| ~ spl0_25
| ~ spl0_60
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f40363,f13144,f1022,f310,f14919]) ).
thf(f41503,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_17
| spl0_61
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f41500,f27]) ).
thf(f41504,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_233
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f41501,f27]) ).
thf(f41505,plain,
( spl0_238
| spl0_386
| ~ spl0_25
| ~ spl0_17
| spl0_61
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f41503,f13144,f1025,f221,f310,f21160,f14919]) ).
thf(f41506,plain,
( ~ spl0_25
| spl0_232
| spl0_229
| ~ spl0_17
| ~ spl0_233
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f41504,f15332,f14872,f221,f14846,f14869,f310]) ).
thf(f41533,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_30
| ~ spl0_162 ),
inference(constrained_superposition,[],[f13145,f381]) ).
thf(f41536,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_30
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f41533]) ).
thf(f41552,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_25
| ~ spl0_30
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f41536,f311]) ).
thf(f41554,plain,
( spl0_238
| ~ spl0_25
| ~ spl0_30
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f41552,f13144,f380,f310,f14919]) ).
thf(f41558,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_220
| ~ spl0_222
| ~ spl0_309 ),
inference(forward_subsumption_resolution,[],[f41269,f14678]) ).
thf(f41561,plain,
( ~ spl0_242
| ~ spl0_220
| ~ spl0_222
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f41558,f17196,f14684,f14677,f15018]) ).
thf(f41567,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_93
| ~ spl0_386 ),
inference(constrained_superposition,[],[f2376,f21161]) ).
thf(f41575,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_93
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f41567]) ).
thf(f41636,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_507 ),
inference(constrained_superposition,[],[f41491,f136]) ).
thf(f41644,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_507 ),
inference(trivial_inequality_removal,[],[f41636]) ).
thf(f41648,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_253
| ~ spl0_507 ),
inference(forward_subsumption_resolution,[],[f41644,f31914]) ).
thf(f41649,plain,
( ~ spl0_9
| spl0_253
| ~ spl0_507 ),
inference(avatar_split_clause,[],[f41648,f41490,f15297,f168]) ).
thf(f41699,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f172,f37]) ).
thf(f41704,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f41699]) ).
thf(f41705,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f41704]) ).
thf(f41715,plain,
( spl0_43
| spl0_16
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f41705,f171,f218,f541]) ).
thf(f41740,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f102,f57]) ).
thf(f41747,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f41740]) ).
thf(f41749,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_20
| ~ spl0_56 ),
inference(constrained_superposition,[],[f248,f27369]) ).
thf(f41750,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_20
| ~ spl0_355 ),
inference(constrained_superposition,[],[f248,f27383]) ).
thf(f41757,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_20
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f41750]) ).
thf(f41762,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_20
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f41749]) ).
thf(f41764,plain,
( spl0_507
| ~ spl0_20
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f41757,f18281,f247,f41490]) ).
thf(f41765,plain,
( spl0_185
| ~ spl0_20
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f41762,f965,f247,f13350]) ).
thf(f41869,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_238
| ~ spl0_293 ),
inference(constrained_superposition,[],[f14920,f16305]) ).
thf(f41878,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_238
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f41869]) ).
thf(f41882,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_238
| ~ spl0_293 ),
inference(constrained_superposition,[],[f41878,f40437]) ).
thf(f41883,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_238
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f41882]) ).
thf(f41884,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_238
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f41883,f27]) ).
thf(f41885,plain,
( spl0_232
| spl0_229
| ~ spl0_17
| ~ spl0_238
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f41884,f16304,f14919,f221,f14846,f14869]) ).
thf(f41937,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f136,f14847]) ).
thf(f42025,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f41937,f30]) ).
thf(f42049,plain,
( $false
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f42025,f28]) ).
thf(f42050,plain,
~ spl0_229,
inference(avatar_contradiction_clause,[],[f42049]) ).
thf(f42107,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_210
| ~ spl0_419 ),
inference(constrained_superposition,[],[f35216,f14627]) ).
thf(f42134,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_210
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f42107]) ).
thf(f42148,plain,
( spl0_321
| ~ spl0_320
| ~ spl0_210
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f42134,f27399,f14626,f17308,f17311]) ).
thf(f42191,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_210 ),
inference(constrained_superposition,[],[f41747,f14627]) ).
thf(f42200,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f42191]) ).
thf(f42212,plain,
( ~ spl0_260
| spl0_324
| ~ spl0_4
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f42200,f14626,f101,f17356,f15324]) ).
thf(f42214,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_28
| ~ spl0_93
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f41575,f338]) ).
thf(f42218,plain,
( ~ spl0_38
| ~ spl0_28
| ~ spl0_93
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f42214,f21160,f2375,f337,f438]) ).
thf(f42220,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f542,f36]) ).
thf(f42223,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f42220]) ).
thf(f42224,plain,
( ( $true != $true )
| ~ spl0_43
| spl0_267 ),
inference(constrained_superposition,[],[f31238,f42223]) ).
thf(f42243,plain,
( $false
| ~ spl0_43
| spl0_267 ),
inference(trivial_inequality_removal,[],[f42224]) ).
thf(f42244,plain,
( ~ spl0_43
| spl0_267 ),
inference(avatar_contradiction_clause,[],[f42243]) ).
thf(f42326,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_244 ),
inference(constrained_superposition,[],[f1059,f15027]) ).
thf(f42329,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f42326]) ).
thf(f42357,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_355 ),
inference(constrained_superposition,[],[f244,f27383]) ).
thf(f42364,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_19
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f42357]) ).
thf(f42394,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_355 ),
inference(constrained_superposition,[],[f42364,f36]) ).
thf(f42406,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f42394]) ).
thf(f42518,plain,
( ~ spl0_5
| spl0_267
| ~ spl0_19
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f42406,f18281,f243,f15352,f104]) ).
thf(f42544,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_414 ),
inference(constrained_superposition,[],[f13351,f27317]) ).
thf(f42557,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_185
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f42544]) ).
thf(f42558,plain,
( ~ spl0_260
| ~ spl0_185
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f42557,f27316,f13350,f15324]) ).
thf(f42559,plain,
( ~ spl0_242
| spl0_474
| ~ spl0_12
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f42329,f15026,f191,f34999,f15018]) ).
thf(f42560,plain,
( ~ spl0_51
| ~ spl0_81
| ~ spl0_56
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f41074,f1260,f965,f1439,f949]) ).
thf(f42563,plain,
( ~ spl0_21
| spl0_64
| ~ spl0_51
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f37234,f9068,f949,f1049,f250]) ).
thf(f42571,plain,
( ~ spl0_1
| spl0_64
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f40624,f38408,f1049,f73]) ).
thf(f42574,plain,
( spl0_62
| spl0_413
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f40733,f1435,f27299,f1040]) ).
thf(f42576,plain,
( ~ spl0_1
| spl0_98
| spl0_413
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f40937,f33363,f27299,f3579,f73]) ).
thf(f42578,plain,
( spl0_71
| spl0_267
| ~ spl0_493 ),
inference(avatar_split_clause,[],[f41154,f39079,f15352,f1260]) ).
thf(f42579,plain,
( ~ spl0_51
| spl0_489
| ~ spl0_414
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f40934,f33363,f27316,f38408,f949]) ).
thf(f42580,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_224
| ~ spl0_467 ),
inference(forward_subsumption_resolution,[],[f40940,f14799]) ).
thf(f42581,plain,
( spl0_489
| ~ spl0_51
| spl0_224
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f42580,f33363,f14798,f949,f38408]) ).
thf(f42582,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f542,f36]) ).
thf(f42584,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f42582]) ).
thf(f42586,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_43 ),
inference(constrained_superposition,[],[f1059,f42584]) ).
thf(f42588,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_43
| ~ spl0_262 ),
inference(constrained_superposition,[],[f38505,f42584]) ).
thf(f42593,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_43
| ~ spl0_60 ),
inference(constrained_superposition,[],[f40365,f42584]) ).
thf(f42595,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f42586]) ).
thf(f42598,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_43
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f42593]) ).
thf(f42599,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_43
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f42588]) ).
thf(f42603,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_12
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f42595,f42584]) ).
thf(f42604,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_43
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f42598,f42584]) ).
thf(f42605,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_43
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f42599,f42584]) ).
thf(f42606,plain,
( spl0_45
| ~ spl0_12
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f42603,f541,f191,f549]) ).
thf(f42607,plain,
( spl0_45
| ~ spl0_43
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f42604,f1022,f541,f549]) ).
thf(f42608,plain,
( spl0_45
| ~ spl0_43
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f42605,f15332,f541,f549]) ).
thf(f42609,plain,
( spl0_73
| spl0_262
| ~ spl0_493 ),
inference(avatar_split_clause,[],[f41152,f39079,f15332,f1268]) ).
thf(f42614,plain,
( ~ spl0_1
| spl0_262
| ~ spl0_18
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f40978,f3576,f240,f15332,f73]) ).
thf(f42616,definition,
( spl0_510
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_510])],[avatar_definition]) ).
thf(f42617,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_510 ),
inference(avatar_component_clause,[],[f42616]) ).
thf(f42637,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_60
| ~ spl0_386 ),
inference(constrained_superposition,[],[f40365,f21161]) ).
thf(f42640,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_60
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f42637]) ).
thf(f42648,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_455 ),
inference(constrained_superposition,[],[f31853,f27319]) ).
thf(f42663,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_18
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f42648]) ).
thf(f42671,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_18
| spl0_38
| ~ spl0_455 ),
inference(forward_subsumption_resolution,[],[f42663,f1042]) ).
thf(f42673,plain,
( ~ spl0_21
| ~ spl0_18
| spl0_38
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f42671,f31852,f438,f240,f250]) ).
thf(f42685,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_46
| ~ spl0_285 ),
inference(constrained_superposition,[],[f586,f27329]) ).
thf(f42708,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_46
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f42685]) ).
thf(f42712,plain,
( ~ spl0_419
| ~ spl0_260
| ~ spl0_46
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f42708,f15950,f585,f15324,f27399]) ).
thf(f42776,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_26
| ~ spl0_284 ),
inference(constrained_superposition,[],[f314,f27313]) ).
thf(f42792,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f42776]) ).
thf(f42847,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_399 ),
inference(constrained_superposition,[],[f21219,f37]) ).
thf(f42854,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f42847]) ).
thf(f42883,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_285 ),
inference(constrained_superposition,[],[f102,f27329]) ).
thf(f42888,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f42883]) ).
thf(f42892,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_88
| ~ spl0_259 ),
inference(constrained_superposition,[],[f1970,f15321]) ).
thf(f42894,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_88
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f42892]) ).
thf(f42916,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_219
| ~ spl0_261 ),
inference(constrained_superposition,[],[f15328,f14675]) ).
thf(f42917,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219
| ~ spl0_504 ),
inference(constrained_superposition,[],[f40299,f14675]) ).
thf(f42926,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_219
| ~ spl0_507 ),
inference(constrained_superposition,[],[f41491,f14675]) ).
thf(f42936,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_219
| ~ spl0_507 ),
inference(trivial_inequality_removal,[],[f42926]) ).
thf(f42942,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_219
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f42916]) ).
thf(f42946,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219
| ~ spl0_504 ),
inference(trivial_inequality_removal,[],[f42917]) ).
thf(f42952,plain,
( ~ spl0_270
| ~ spl0_219
| ~ spl0_507 ),
inference(avatar_split_clause,[],[f42936,f41490,f14674,f15367]) ).
thf(f42955,plain,
( ~ spl0_260
| ~ spl0_219
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f42942,f15327,f14674,f15324]) ).
thf(f42957,plain,
( ~ spl0_260
| spl0_268
| ~ spl0_219
| ~ spl0_504 ),
inference(avatar_split_clause,[],[f42946,f40298,f14674,f15358,f15324]) ).
thf(f42973,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_60
| ~ spl0_224 ),
inference(constrained_superposition,[],[f40365,f18786]) ).
thf(f42978,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_60
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f42973]) ).
thf(f42981,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_60
| ~ spl0_98
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f42978,f3580]) ).
thf(f42984,plain,
( spl0_444
| ~ spl0_60
| ~ spl0_98
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f42981,f14798,f3579,f1022,f28895]) ).
thf(f42986,plain,
( spl0_507
| ~ spl0_4
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f42888,f15950,f101,f41490]) ).
thf(f43061,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_60
| ~ spl0_341 ),
inference(constrained_superposition,[],[f40365,f17880]) ).
thf(f43063,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_60
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f43061]) ).
thf(f43067,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_60
| ~ spl0_311
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f43063,f17212]) ).
thf(f43070,plain,
( spl0_472
| ~ spl0_60
| ~ spl0_311
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f43067,f17879,f17211,f1022,f34990]) ).
thf(f43071,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_311
| ~ spl0_347 ),
inference(constrained_superposition,[],[f18055,f17212]) ).
thf(f43073,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_311
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f43071]) ).
thf(f43083,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_502 ),
inference(constrained_superposition,[],[f40058,f57]) ).
thf(f43090,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_502 ),
inference(trivial_inequality_removal,[],[f43083]) ).
thf(f43095,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_502 ),
inference(forward_subsumption_resolution,[],[f43090,f27319]) ).
thf(f43096,plain,
( $false
| ~ spl0_18
| spl0_262
| ~ spl0_502 ),
inference(forward_subsumption_resolution,[],[f43095,f38413]) ).
thf(f43097,plain,
( ~ spl0_18
| spl0_262
| ~ spl0_502 ),
inference(avatar_contradiction_clause,[],[f43096]) ).
thf(f43099,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_26
| spl0_262
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f42792,f38413]) ).
thf(f43102,plain,
( spl0_45
| ~ spl0_28
| ~ spl0_60
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f42640,f21160,f1022,f337,f549]) ).
thf(f43103,plain,
( ~ spl0_25
| ~ spl0_311
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f43073,f18054,f17211,f310]) ).
thf(f43107,plain,
( ~ spl0_240
| ~ spl0_88
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f42894,f15320,f1969,f14945]) ).
thf(f43110,plain,
( ~ spl0_260
| spl0_41
| ~ spl0_26
| spl0_262
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f43099,f15947,f15332,f313,f534,f15324]) ).
thf(f43151,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_240 ),
inference(constrained_superposition,[],[f1059,f14946]) ).
thf(f43154,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_12
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f43151]) ).
thf(f43204,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f49,f27364]) ).
thf(f43216,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f43204]) ).
thf(f43232,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| spl0_64
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f43216,f21132]) ).
thf(f43236,plain,
( ~ spl0_260
| spl0_280
| spl0_64
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f43232,f16301,f1049,f15906,f15324]) ).
thf(f43267,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_98
| ~ spl0_225 ),
inference(constrained_superposition,[],[f14829,f3580]) ).
thf(f43269,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_98
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f43267]) ).
thf(f43274,plain,
( $false
| ~ spl0_25
| ~ spl0_98
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f43269,f311]) ).
thf(f43275,plain,
( ~ spl0_25
| ~ spl0_98
| ~ spl0_225 ),
inference(avatar_contradiction_clause,[],[f43274]) ).
thf(f43277,plain,
( spl0_444
| ~ spl0_98
| ~ spl0_12
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f43154,f14945,f191,f3579,f28895]) ).
thf(f43279,plain,
( spl0_234
| spl0_441 ),
inference(avatar_split_clause,[],[f31860,f28097,f14878]) ).
thf(f43287,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f29,f219]) ).
thf(f43288,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f43287]) ).
thf(f43335,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_262 ),
inference(constrained_superposition,[],[f29,f15333]) ).
thf(f43337,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f43335]) ).
thf(f43352,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_419 ),
inference(constrained_superposition,[],[f32,f27400]) ).
thf(f43361,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f43352]) ).
thf(f43395,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f866,f27383]) ).
thf(f43410,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( X0 = X1 )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f43395]) ).
thf(f43414,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( X0 = X1 ) )
| spl0_234
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f43410,f14879]) ).
thf(f43415,plain,
( spl0_155
| spl0_234
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f43414,f18281,f14878,f12372]) ).
thf(f43426,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f18903,f136]) ).
thf(f43431,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f18903,f37]) ).
thf(f43436,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f43431]) ).
thf(f43440,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f43426]) ).
thf(f43443,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_259 ),
inference(constrained_superposition,[],[f29,f15321]) ).
thf(f43445,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f43443]) ).
thf(f43527,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_381 ),
inference(constrained_superposition,[],[f20950,f56]) ).
thf(f43538,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f43527]) ).
thf(f43540,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f172,f136]) ).
thf(f43541,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_10
| ~ spl0_56 ),
inference(constrained_superposition,[],[f172,f27369]) ).
thf(f43554,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f43540]) ).
thf(f43556,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_10
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f43541]) ).
thf(f43557,plain,
( spl0_75
| ~ spl0_10
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f43556,f965,f171,f1338]) ).
thf(f43665,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_212
| ~ spl0_488 ),
inference(constrained_superposition,[],[f37537,f14634]) ).
thf(f43667,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_212
| ~ spl0_488 ),
inference(trivial_inequality_removal,[],[f43665]) ).
thf(f43669,plain,
( $false
| ~ spl0_212
| ~ spl0_240
| ~ spl0_488 ),
inference(forward_subsumption_resolution,[],[f43667,f14946]) ).
thf(f43670,plain,
( ~ spl0_212
| ~ spl0_240
| ~ spl0_488 ),
inference(avatar_contradiction_clause,[],[f43669]) ).
thf(f43788,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_305 ),
inference(constrained_superposition,[],[f17081,f37]) ).
thf(f43791,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f43788]) ).
thf(f43800,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_236
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f43791,f14943]) ).
thf(f43801,plain,
( spl0_41
| spl0_236
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f43800,f17080,f14889,f534]) ).
thf(f43884,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_12
| ~ spl0_16 ),
inference(constrained_superposition,[],[f43288,f192]) ).
thf(f43892,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_12
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f43884]) ).
thf(f43933,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_10
| ~ spl0_213 ),
inference(constrained_superposition,[],[f43554,f14637]) ).
thf(f43951,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_10
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f43933]) ).
thf(f43955,plain,
( spl0_335
| ~ spl0_260
| ~ spl0_10
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f43951,f14636,f171,f15324,f17854]) ).
thf(f43958,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f29,f14836]) ).
thf(f43959,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f43958]) ).
thf(f43976,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_217
| ~ spl0_347 ),
inference(constrained_superposition,[],[f18055,f14668]) ).
thf(f43980,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_217
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f43976]) ).
thf(f43983,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_234
| ~ spl0_249 ),
inference(constrained_superposition,[],[f14879,f15090]) ).
thf(f43984,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_64
| ~ spl0_249 ),
inference(constrained_superposition,[],[f21132,f15090]) ).
thf(f43988,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_249 ),
inference(constrained_superposition,[],[f29,f15090]) ).
thf(f43993,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_64
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f43984]) ).
thf(f43994,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_234
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f43983]) ).
thf(f43995,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f43988]) ).
thf(f44064,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_259
| ~ spl0_262 ),
inference(constrained_superposition,[],[f43337,f15321]) ).
thf(f44071,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_259
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f44064]) ).
thf(f44096,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_220
| ~ spl0_249 ),
inference(constrained_superposition,[],[f43995,f14678]) ).
thf(f44098,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_249
| ~ spl0_259 ),
inference(constrained_superposition,[],[f43995,f15321]) ).
thf(f44106,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_60
| ~ spl0_249 ),
inference(constrained_superposition,[],[f43995,f1023]) ).
thf(f44109,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_249
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f44098]) ).
thf(f44118,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_60
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f44106]) ).
thf(f44119,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_220
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f44096]) ).
thf(f44162,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_471 ),
inference(constrained_superposition,[],[f34969,f37]) ).
thf(f44172,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_471 ),
inference(trivial_inequality_removal,[],[f44162]) ).
thf(f44175,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_234
| ~ spl0_471 ),
inference(forward_subsumption_resolution,[],[f44172,f14879]) ).
thf(f44176,plain,
( ~ spl0_5
| spl0_89
| spl0_234
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f44175,f34968,f14878,f1974,f104]) ).
thf(f44180,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_309
| ~ spl0_340 ),
inference(constrained_superposition,[],[f17197,f17876]) ).
thf(f44186,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_309
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f44180]) ).
thf(f44187,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_267
| ~ spl0_309
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f44186,f15353]) ).
thf(f44188,plain,
( $false
| ~ spl0_28
| ~ spl0_267
| ~ spl0_309
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f44187,f338]) ).
thf(f44189,plain,
( ~ spl0_28
| ~ spl0_267
| ~ spl0_309
| ~ spl0_340 ),
inference(avatar_contradiction_clause,[],[f44188]) ).
thf(f44190,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_85 ),
inference(constrained_superposition,[],[f36934,f1023]) ).
thf(f44194,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f44190]) ).
thf(f44203,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_484 ),
inference(constrained_superposition,[],[f36432,f37]) ).
thf(f44214,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_484 ),
inference(trivial_inequality_removal,[],[f44203]) ).
thf(f44216,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_234
| ~ spl0_484 ),
inference(forward_subsumption_resolution,[],[f44214,f14879]) ).
thf(f44217,plain,
( ~ spl0_5
| spl0_185
| spl0_234
| ~ spl0_484 ),
inference(avatar_split_clause,[],[f44216,f36431,f14878,f13350,f104]) ).
thf(f44267,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_215
| ~ spl0_227 ),
inference(constrained_superposition,[],[f43959,f14661]) ).
thf(f44273,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_215
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f44267]) ).
thf(f44277,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_215
| ~ spl0_227
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f44273,f14946]) ).
thf(f44278,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_215
| ~ spl0_227
| ~ spl0_240 ),
inference(constrained_superposition,[],[f44277,f14661]) ).
thf(f44282,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_215
| ~ spl0_227
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f44278]) ).
thf(f44290,plain,
( ~ spl0_244
| ~ spl0_215
| ~ spl0_227
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f44282,f14945,f14835,f14660,f15026]) ).
thf(f44297,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_419
| ~ spl0_510 ),
inference(constrained_superposition,[],[f42617,f27400]) ).
thf(f44298,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_510 ),
inference(constrained_superposition,[],[f42617,f56]) ).
thf(f44300,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_510 ),
inference(constrained_superposition,[],[f42617,f37]) ).
thf(f44306,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_510 ),
inference(trivial_inequality_removal,[],[f44300]) ).
thf(f44307,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_419
| ~ spl0_510 ),
inference(trivial_inequality_removal,[],[f44297]) ).
thf(f44312,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_510 ),
inference(trivial_inequality_removal,[],[f44298]) ).
thf(f44356,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true ) )
| ~ spl0_419 ),
inference(constrained_superposition,[],[f43361,f37]) ).
thf(f44368,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f44356]) ).
thf(f44372,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_259
| ~ spl0_262 ),
inference(constrained_superposition,[],[f43445,f15333]) ).
thf(f44379,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_259
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f44372]) ).
thf(f44382,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_60
| ~ spl0_259
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f44379,f1023]) ).
thf(f44385,plain,
( spl0_238
| ~ spl0_60
| ~ spl0_259
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f44382,f15332,f15320,f1022,f14919]) ).
thf(f44389,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_60
| ~ spl0_139 ),
inference(constrained_superposition,[],[f9533,f1023]) ).
thf(f44392,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_60
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f44389]) ).
thf(f44395,plain,
( $false
| ~ spl0_28
| ~ spl0_60
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f44392,f338]) ).
thf(f44396,plain,
( ~ spl0_28
| ~ spl0_60
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f44395]) ).
thf(f44398,definition,
( spl0_511
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_511])],[avatar_definition]) ).
thf(f44399,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_511 ),
inference(avatar_component_clause,[],[f44398]) ).
thf(f44402,plain,
( spl0_511
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f43892,f218,f191,f44398]) ).
thf(f44404,definition,
( spl0_512
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_512])],[avatar_definition]) ).
thf(f44405,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_512 ),
inference(avatar_component_clause,[],[f44404]) ).
thf(f44406,plain,
( spl0_386
| spl0_512
| ~ spl0_60
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f44118,f15089,f1022,f44404,f21160]) ).
thf(f44408,definition,
( spl0_513
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_513])],[avatar_definition]) ).
thf(f44409,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_513 ),
inference(avatar_component_clause,[],[f44408]) ).
thf(f44411,plain,
( spl0_386
| spl0_64
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f43993,f15089,f1049,f21160]) ).
thf(f44413,definition,
( spl0_514
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_514])],[avatar_definition]) ).
thf(f44414,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_514 ),
inference(avatar_component_clause,[],[f44413]) ).
thf(f44415,plain,
( spl0_514
| ~ spl0_18
| ~ spl0_419
| ~ spl0_510 ),
inference(avatar_split_clause,[],[f44307,f42616,f27399,f240,f44413]) ).
thf(f44417,plain,
( spl0_62
| ~ spl0_18
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f43538,f20949,f240,f1040]) ).
thf(f44418,plain,
( spl0_93
| ~ spl0_60
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f44194,f1471,f1022,f2375]) ).
thf(f44419,plain,
( spl0_514
| spl0_98
| ~ spl0_18
| ~ spl0_510 ),
inference(avatar_split_clause,[],[f44312,f42616,f240,f3579,f44413]) ).
thf(f44420,plain,
( ~ spl0_236
| ~ spl0_217
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f43980,f18054,f14667,f14889]) ).
thf(f44421,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| spl0_234
| ~ spl0_419 ),
inference(forward_subsumption_resolution,[],[f44368,f14879]) ).
thf(f44424,definition,
( spl0_515
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_515])],[avatar_definition]) ).
thf(f44425,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_515 ),
inference(avatar_component_clause,[],[f44424]) ).
thf(f44427,plain,
( ~ spl0_62
| spl0_415
| ~ spl0_259
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f44071,f15332,f15320,f27333,f1040]) ).
thf(f44433,plain,
( ~ spl0_5
| spl0_4
| spl0_234
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f44421,f27399,f14878,f101,f104]) ).
thf(f44434,plain,
( spl0_267
| spl0_233
| ~ spl0_220
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f44119,f15089,f14677,f14872,f15352]) ).
thf(f44435,plain,
( spl0_267
| spl0_234
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f43994,f15089,f14878,f15352]) ).
thf(f44437,definition,
( spl0_517
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_517])],[avatar_definition]) ).
thf(f44438,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_517 ),
inference(avatar_component_clause,[],[f44437]) ).
thf(f44441,definition,
( spl0_518
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_518])],[avatar_definition]) ).
thf(f44442,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_518 ),
inference(avatar_component_clause,[],[f44441]) ).
thf(f44443,plain,
( spl0_267
| spl0_518
| ~ spl0_249
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f44109,f15320,f15089,f44441,f15352]) ).
thf(f44447,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_234
| ~ spl0_510 ),
inference(forward_subsumption_resolution,[],[f44306,f14879]) ).
thf(f44449,plain,
( spl0_16
| ~ spl0_5
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f43436,f18902,f104,f218]) ).
thf(f44450,plain,
( spl0_185
| ~ spl0_21
| spl0_234
| ~ spl0_510 ),
inference(avatar_split_clause,[],[f44447,f42616,f14878,f250,f13350]) ).
thf(f44453,plain,
( spl0_16
| ~ spl0_9
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f42854,f21218,f168,f218]) ).
thf(f44454,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f29,f311]) ).
thf(f44455,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f44454]) ).
thf(f44524,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_45
| ~ spl0_98 ),
inference(constrained_superposition,[],[f550,f3580]) ).
thf(f44526,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_45
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f44524]) ).
thf(f44528,plain,
( ~ spl0_267
| ~ spl0_45
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f44526,f3579,f549,f15352]) ).
thf(f44529,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_285
| ~ spl0_371 ),
inference(constrained_superposition,[],[f43440,f27329]) ).
thf(f44532,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_285
| ~ spl0_416 ),
inference(constrained_superposition,[],[f27351,f27329]) ).
thf(f44548,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_285
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f44529]) ).
thf(f44549,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_285
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f44532]) ).
thf(f44560,plain,
( spl0_253
| ~ spl0_285
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f44548,f18902,f15950,f15297]) ).
thf(f44561,plain,
( ~ spl0_441
| ~ spl0_285
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f44549,f27350,f15950,f28097]) ).
thf(f44591,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_253
| ~ spl0_259 ),
inference(constrained_superposition,[],[f43445,f15298]) ).
thf(f44595,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_253
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f44591]) ).
thf(f44596,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_65
| ~ spl0_253
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f44595,f1085]) ).
thf(f44597,plain,
( spl0_462
| ~ spl0_65
| ~ spl0_253
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f44596,f15320,f15297,f1084,f32371]) ).
thf(f44608,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_422 ),
inference(constrained_superposition,[],[f27510,f31]) ).
thf(f44614,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_422 ),
inference(duplicate_literal_removal,[],[f44608]) ).
thf(f44615,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f44614]) ).
thf(f44628,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_251
| ~ spl0_284 ),
inference(constrained_superposition,[],[f15099,f27313]) ).
thf(f44645,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_251
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f44628]) ).
thf(f44655,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_251
| spl0_267
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f44645,f31238]) ).
thf(f44658,plain,
( ~ spl0_441
| ~ spl0_251
| spl0_267
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f44655,f15947,f15352,f15098,f28097]) ).
thf(f44666,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_185 ),
inference(constrained_superposition,[],[f13351,f57]) ).
thf(f44672,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f44666]) ).
thf(f44675,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_60
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f44672,f14917]) ).
thf(f44676,plain,
( ~ spl0_1
| spl0_60
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f44675,f13350,f1022,f73]) ).
thf(f44719,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_259
| ~ spl0_415 ),
inference(constrained_superposition,[],[f27334,f15321]) ).
thf(f44724,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_259
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f44719]) ).
thf(f44725,plain,
( $false
| ~ spl0_98
| ~ spl0_259
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f44724,f3580]) ).
thf(f44726,plain,
( ~ spl0_98
| ~ spl0_259
| ~ spl0_415 ),
inference(avatar_contradiction_clause,[],[f44725]) ).
thf(f44737,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_166
| ~ spl0_224 ),
inference(constrained_superposition,[],[f13174,f18786]) ).
thf(f44739,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_166
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f44737]) ).
thf(f44747,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_224
| ~ spl0_462 ),
inference(constrained_superposition,[],[f32372,f18786]) ).
thf(f44750,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_224
| ~ spl0_462 ),
inference(trivial_inequality_removal,[],[f44747]) ).
thf(f44751,plain,
( $false
| ~ spl0_224
| ~ spl0_253
| ~ spl0_462 ),
inference(forward_subsumption_resolution,[],[f44750,f15298]) ).
thf(f44752,plain,
( ~ spl0_224
| ~ spl0_253
| ~ spl0_462 ),
inference(avatar_contradiction_clause,[],[f44751]) ).
thf(f44754,plain,
( ~ spl0_240
| ~ spl0_166
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f44739,f14798,f13173,f14945]) ).
thf(f44795,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_84 ),
inference(constrained_superposition,[],[f39550,f27386]) ).
thf(f44810,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_72
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f44795]) ).
thf(f44829,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_209
| ~ spl0_292 ),
inference(constrained_superposition,[],[f14623,f27364]) ).
thf(f44841,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_209
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f44829]) ).
thf(f44853,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_209
| ~ spl0_285
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f44841,f27329]) ).
thf(f44860,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f80,f57]) ).
thf(f44870,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f44860]) ).
thf(f44871,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_222
| ~ spl0_303 ),
inference(constrained_superposition,[],[f17065,f14685]) ).
thf(f44873,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_222
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f44871]) ).
thf(f44878,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f248,f37]) ).
thf(f44884,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f44878]) ).
thf(f44887,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f44884,f599]) ).
thf(f44888,plain,
( spl0_397
| spl0_16
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f44887,f247,f218,f21208]) ).
thf(f44911,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_267
| ~ spl0_274 ),
inference(constrained_superposition,[],[f15502,f15353]) ).
thf(f44913,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_267
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f44911]) ).
thf(f44916,plain,
( $false
| ~ spl0_38
| ~ spl0_267
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f44913,f439]) ).
thf(f44917,plain,
( ~ spl0_38
| ~ spl0_267
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f44916]) ).
thf(f44919,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_209
| ~ spl0_284
| ~ spl0_285
| ~ spl0_292 ),
inference(constrained_superposition,[],[f44853,f27313]) ).
thf(f44920,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_209
| ~ spl0_285
| ~ spl0_292 ),
inference(constrained_superposition,[],[f44853,f135]) ).
thf(f44927,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_209
| ~ spl0_285
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f44920]) ).
thf(f44933,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_209
| ~ spl0_284
| ~ spl0_285
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f44919]) ).
thf(f44934,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_209
| spl0_240
| ~ spl0_285
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f44927,f14950]) ).
thf(f44935,plain,
( $false
| spl0_16
| ~ spl0_209
| ~ spl0_284
| ~ spl0_285
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f44933,f599]) ).
thf(f44936,plain,
( spl0_16
| ~ spl0_209
| ~ spl0_284
| ~ spl0_285
| ~ spl0_292 ),
inference(avatar_contradiction_clause,[],[f44935]) ).
thf(f44937,plain,
( $false
| spl0_16
| ~ spl0_209
| spl0_240
| ~ spl0_285
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f44934,f599]) ).
thf(f44938,plain,
( spl0_16
| ~ spl0_209
| spl0_240
| ~ spl0_285
| ~ spl0_292 ),
inference(avatar_contradiction_clause,[],[f44937]) ).
thf(f44978,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_497 ),
inference(constrained_superposition,[],[f39814,f57]) ).
thf(f44981,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_497 ),
inference(trivial_inequality_removal,[],[f44978]) ).
thf(f44990,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_262
| ~ spl0_497 ),
inference(forward_subsumption_resolution,[],[f44981,f38413]) ).
thf(f44991,plain,
( ~ spl0_79
| spl0_262
| ~ spl0_497 ),
inference(avatar_split_clause,[],[f44990,f39813,f15332,f1432]) ).
thf(f45027,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_292 ),
inference(constrained_superposition,[],[f44870,f27364]) ).
thf(f45038,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f45027]) ).
thf(f45049,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_3
| spl0_60
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f45038,f14917]) ).
thf(f45050,plain,
( ~ spl0_260
| ~ spl0_3
| spl0_60
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f45049,f16301,f1022,f79,f15324]) ).
thf(f45108,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_297 ),
inference(constrained_superposition,[],[f16323,f37]) ).
thf(f45115,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f45108]) ).
thf(f45121,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_234
| ~ spl0_297 ),
inference(forward_subsumption_resolution,[],[f45115,f14879]) ).
thf(f45122,plain,
( spl0_17
| spl0_234
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f45121,f16322,f14878,f221]) ).
thf(f45138,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_253
| ~ spl0_402 ),
inference(constrained_superposition,[],[f21861,f15298]) ).
thf(f45144,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_253
| ~ spl0_402 ),
inference(trivial_inequality_removal,[],[f45138]) ).
thf(f45147,plain,
( ~ spl0_98
| ~ spl0_253
| ~ spl0_402 ),
inference(avatar_split_clause,[],[f45144,f21860,f15297,f3579]) ).
thf(f45150,plain,
( ~ spl0_51
| spl0_65
| ~ spl0_72
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f44810,f1449,f1264,f1084,f949]) ).
thf(f45152,plain,
( ~ spl0_308
| ~ spl0_222
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f44873,f17064,f14684,f17193]) ).
thf(f45162,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_60
| ~ spl0_422 ),
inference(constrained_superposition,[],[f14917,f44615]) ).
thf(f45174,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_60
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f45162]) ).
thf(f45176,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_60
| spl0_62
| ~ spl0_422 ),
inference(forward_subsumption_resolution,[],[f45174,f26501]) ).
thf(f45177,plain,
( $false
| spl0_60
| spl0_61
| spl0_62
| ~ spl0_422 ),
inference(forward_subsumption_resolution,[],[f45176,f14483]) ).
thf(f45178,plain,
( spl0_60
| spl0_61
| spl0_62
| ~ spl0_422 ),
inference(avatar_contradiction_clause,[],[f45177]) ).
thf(f45227,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f135,f14832]) ).
thf(f45309,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f45227,f30]) ).
thf(f45329,plain,
( $false
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f45309,f28]) ).
thf(f45330,plain,
~ spl0_226,
inference(avatar_contradiction_clause,[],[f45329]) ).
thf(f45385,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_419 ),
inference(constrained_superposition,[],[f122,f27400]) ).
thf(f45402,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f45385]) ).
thf(f45429,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_27
| ~ spl0_264 ),
inference(constrained_superposition,[],[f318,f15340]) ).
thf(f45431,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_27
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f45429]) ).
thf(f45433,plain,
( $false
| ~ spl0_27
| ~ spl0_236
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f45431,f14890]) ).
thf(f45434,plain,
( ~ spl0_27
| ~ spl0_236
| ~ spl0_264 ),
inference(avatar_contradiction_clause,[],[f45433]) ).
thf(f45478,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_215 ),
inference(constrained_superposition,[],[f29,f14661]) ).
thf(f45479,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f45478]) ).
thf(f45491,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f947,f14627]) ).
thf(f45505,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f45491]) ).
thf(f45554,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f9010,f37]) ).
thf(f45559,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f45554]) ).
thf(f45602,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_179 ),
inference(constrained_superposition,[],[f13304,f136]) ).
thf(f45613,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f45602]) ).
thf(f45635,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_498 ),
inference(constrained_superposition,[],[f39989,f795]) ).
thf(f45647,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_498 ),
inference(trivial_inequality_removal,[],[f45635]) ).
thf(f45721,definition,
( spl0_519
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_519])],[avatar_definition]) ).
thf(f45722,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_519 ),
inference(avatar_component_clause,[],[f45721]) ).
thf(f45820,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_107
| ~ spl0_217 ),
inference(constrained_superposition,[],[f4789,f14668]) ).
thf(f45832,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_107
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f45820]) ).
thf(f45833,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_107
| ~ spl0_217
| spl0_337 ),
inference(forward_subsumption_resolution,[],[f45832,f33736]) ).
thf(f45834,plain,
( $false
| ~ spl0_107
| ~ spl0_217
| ~ spl0_236
| spl0_337 ),
inference(forward_subsumption_resolution,[],[f45833,f14890]) ).
thf(f45835,plain,
( ~ spl0_107
| ~ spl0_217
| ~ spl0_236
| spl0_337 ),
inference(avatar_contradiction_clause,[],[f45834]) ).
thf(f45839,plain,
( spl0_482
| spl0_262
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f45402,f27399,f15332,f36191]) ).
thf(f45843,plain,
( spl0_323
| ~ spl0_322
| spl0_224
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f45505,f14626,f14798,f17315,f17318]) ).
thf(f45858,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_16
| ~ spl0_249 ),
inference(constrained_superposition,[],[f599,f15090]) ).
thf(f45863,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_249 ),
inference(constrained_superposition,[],[f29,f15090]) ).
thf(f45864,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f45863]) ).
thf(f45869,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_16
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f45858]) ).
thf(f45872,plain,
( spl0_38
| spl0_16
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f45869,f15089,f218,f438]) ).
thf(f45893,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_27
| ~ spl0_60 ),
inference(constrained_superposition,[],[f318,f1023]) ).
thf(f45902,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_27
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f45893]) ).
thf(f45904,plain,
( $false
| ~ spl0_27
| ~ spl0_60
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f45902,f1050]) ).
thf(f45905,plain,
( ~ spl0_27
| ~ spl0_60
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f45904]) ).
thf(f45906,plain,
( spl0_224
| ~ spl0_84
| ~ spl0_57
| ~ spl0_498 ),
inference(avatar_split_clause,[],[f45647,f39988,f969,f1449,f14798]) ).
thf(f45916,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_267 ),
inference(constrained_superposition,[],[f29,f15353]) ).
thf(f45918,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f45916]) ).
thf(f45934,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f29,f1085]) ).
thf(f45937,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f45934]) ).
thf(f46053,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_224 ),
inference(constrained_superposition,[],[f29,f18786]) ).
thf(f46054,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f46053]) ).
thf(f46113,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_335 ),
inference(constrained_superposition,[],[f29,f17855]) ).
thf(f46114,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f46113]) ).
thf(f46282,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_501 ),
inference(constrained_superposition,[],[f40036,f56]) ).
thf(f46288,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_501 ),
inference(trivial_inequality_removal,[],[f46282]) ).
thf(f46298,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_98
| ~ spl0_501 ),
inference(forward_subsumption_resolution,[],[f46288,f15028]) ).
thf(f46300,plain,
( ~ spl0_57
| ~ spl0_1
| spl0_98
| ~ spl0_501 ),
inference(avatar_split_clause,[],[f46298,f40035,f3579,f73,f969]) ).
thf(f46393,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_224
| ~ spl0_249 ),
inference(constrained_superposition,[],[f45864,f18786]) ).
thf(f46395,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_227
| ~ spl0_249 ),
inference(constrained_superposition,[],[f45864,f14836]) ).
thf(f46397,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_65
| ~ spl0_249 ),
inference(constrained_superposition,[],[f45864,f1085]) ).
thf(f46402,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_224
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f46393]) ).
thf(f46404,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_65
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f46397]) ).
thf(f46416,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_227
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f46395]) ).
thf(f46418,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_224
| ~ spl0_249
| spl0_386 ),
inference(forward_subsumption_resolution,[],[f46402,f31231]) ).
thf(f46420,plain,
( spl0_518
| ~ spl0_224
| ~ spl0_249
| spl0_386 ),
inference(avatar_split_clause,[],[f46418,f21160,f15089,f14798,f44441]) ).
thf(f46436,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_214 ),
inference(constrained_superposition,[],[f14657,f37]) ).
thf(f46440,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f46436]) ).
thf(f46468,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_419
| ~ spl0_466 ),
inference(constrained_superposition,[],[f32632,f27400]) ).
thf(f46469,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_466 ),
inference(constrained_superposition,[],[f32632,f56]) ).
thf(f46471,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_466 ),
inference(constrained_superposition,[],[f32632,f37]) ).
thf(f46476,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_466 ),
inference(trivial_inequality_removal,[],[f46471]) ).
thf(f46483,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_466 ),
inference(trivial_inequality_removal,[],[f46469]) ).
thf(f46484,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_419
| ~ spl0_466 ),
inference(trivial_inequality_removal,[],[f46468]) ).
thf(f46485,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_234
| ~ spl0_466 ),
inference(forward_subsumption_resolution,[],[f46476,f14879]) ).
thf(f46486,plain,
( spl0_396
| ~ spl0_21
| spl0_234
| ~ spl0_466 ),
inference(avatar_split_clause,[],[f46485,f32631,f14878,f250,f21202]) ).
thf(f46487,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_396 ),
inference(constrained_superposition,[],[f21203,f31]) ).
thf(f46492,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f46487]) ).
thf(f46503,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_471 ),
inference(constrained_superposition,[],[f34969,f795]) ).
thf(f46522,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_471 ),
inference(trivial_inequality_removal,[],[f46503]) ).
thf(f46554,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_419
| ~ spl0_504 ),
inference(constrained_superposition,[],[f40299,f27400]) ).
thf(f46569,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_419
| ~ spl0_504 ),
inference(trivial_inequality_removal,[],[f46554]) ).
thf(f46576,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_232
| ~ spl0_235 ),
inference(constrained_superposition,[],[f14887,f14870]) ).
thf(f46577,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_232
| ~ spl0_235 ),
inference(trivial_inequality_removal,[],[f46576]) ).
thf(f46581,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_232
| ~ spl0_235
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f46577,f15353]) ).
thf(f46582,plain,
( $false
| ~ spl0_38
| ~ spl0_232
| ~ spl0_235
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f46581,f439]) ).
thf(f46583,plain,
( ~ spl0_38
| ~ spl0_232
| ~ spl0_235
| ~ spl0_267 ),
inference(avatar_contradiction_clause,[],[f46582]) ).
thf(f46642,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_266 ),
inference(constrained_superposition,[],[f15350,f796]) ).
thf(f46647,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f46642]) ).
thf(f46653,plain,
( spl0_501
| spl0_268
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f46647,f15349,f15358,f40035]) ).
thf(f46675,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_355
| ~ spl0_440 ),
inference(constrained_superposition,[],[f28093,f27383]) ).
thf(f46676,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_440 ),
inference(constrained_superposition,[],[f28093,f136]) ).
thf(f46681,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_355
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f46675]) ).
thf(f46685,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f46676]) ).
thf(f46687,plain,
( spl0_136
| ~ spl0_355
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f46681,f28092,f18281,f9060]) ).
thf(f46688,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_253
| ~ spl0_440 ),
inference(forward_subsumption_resolution,[],[f46685,f31914]) ).
thf(f46689,plain,
( spl0_136
| spl0_253
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f46688,f28092,f15297,f9060]) ).
thf(f46695,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f9061,f37]) ).
thf(f46705,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f46695]) ).
thf(f46717,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f341,f136]) ).
thf(f46722,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f46717]) ).
thf(f46779,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_263 ),
inference(constrained_superposition,[],[f15336,f796]) ).
thf(f46782,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f46779]) ).
thf(f46791,definition,
( spl0_520
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_520])],[avatar_definition]) ).
thf(f46792,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_520 ),
inference(avatar_component_clause,[],[f46791]) ).
thf(f46793,plain,
( spl0_520
| spl0_268
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f46782,f15335,f15358,f46791]) ).
thf(f46845,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_319
| ~ spl0_335 ),
inference(constrained_superposition,[],[f46114,f17305]) ).
thf(f46847,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_324
| ~ spl0_335 ),
inference(constrained_superposition,[],[f46114,f17357]) ).
thf(f46849,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_319
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f46845]) ).
thf(f46851,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_324
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f46847]) ).
thf(f46854,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_85
| ~ spl0_319
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f46849,f1472]) ).
thf(f46855,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_12
| ~ spl0_324
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f46851,f192]) ).
thf(f46856,plain,
( spl0_88
| ~ spl0_85
| ~ spl0_319
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f46854,f17854,f17304,f1471,f1969]) ).
thf(f46859,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_12
| ~ spl0_38
| ~ spl0_324
| ~ spl0_335 ),
inference(constrained_superposition,[],[f46855,f439]) ).
thf(f46862,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_12
| ~ spl0_38
| ~ spl0_324
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f46859]) ).
thf(f46863,plain,
( $false
| ~ spl0_12
| ~ spl0_25
| ~ spl0_38
| ~ spl0_324
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f46862,f311]) ).
thf(f46864,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_38
| ~ spl0_324
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f46863]) ).
thf(f46868,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_64
| ~ spl0_88 ),
inference(constrained_superposition,[],[f1970,f1050]) ).
thf(f46869,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_88
| ~ spl0_249 ),
inference(constrained_superposition,[],[f1970,f15090]) ).
thf(f46873,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_88
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f46869]) ).
thf(f46874,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_64
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f46868]) ).
thf(f46875,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_88
| ~ spl0_166
| ~ spl0_249 ),
inference(forward_subsumption_resolution,[],[f46873,f13174]) ).
thf(f46876,plain,
( $false
| ~ spl0_38
| ~ spl0_64
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f46874,f439]) ).
thf(f46877,plain,
( ~ spl0_38
| ~ spl0_64
| ~ spl0_88 ),
inference(avatar_contradiction_clause,[],[f46876]) ).
thf(f46878,plain,
( $false
| ~ spl0_38
| ~ spl0_88
| ~ spl0_166
| ~ spl0_249 ),
inference(forward_subsumption_resolution,[],[f46875,f439]) ).
thf(f46879,plain,
( ~ spl0_38
| ~ spl0_88
| ~ spl0_166
| ~ spl0_249 ),
inference(avatar_contradiction_clause,[],[f46878]) ).
thf(f46882,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_211
| ~ spl0_249 ),
inference(constrained_superposition,[],[f45864,f14630]) ).
thf(f46887,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_211
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f46882]) ).
thf(f46895,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_254 ),
inference(constrained_superposition,[],[f15301,f57]) ).
thf(f46897,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f46895]) ).
thf(f46905,definition,
( spl0_522
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_522])],[avatar_definition]) ).
thf(f46906,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_522 ),
inference(avatar_component_clause,[],[f46905]) ).
thf(f46907,plain,
( spl0_264
| spl0_522
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f46897,f15300,f46905,f15339]) ).
thf(f46909,definition,
( spl0_523
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_523])],[avatar_definition]) ).
thf(f46910,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_523 ),
inference(avatar_component_clause,[],[f46909]) ).
thf(f46944,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_339 ),
inference(constrained_superposition,[],[f17873,f795]) ).
thf(f46952,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f46944]) ).
thf(f46960,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_339
| spl0_341 ),
inference(forward_subsumption_resolution,[],[f46952,f31922]) ).
thf(f46963,definition,
( spl0_524
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_524])],[avatar_definition]) ).
thf(f46964,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_524 ),
inference(avatar_component_clause,[],[f46963]) ).
thf(f46965,plain,
( ~ spl0_51
| spl0_524
| ~ spl0_339
| spl0_341 ),
inference(avatar_split_clause,[],[f46960,f17879,f17872,f46963,f949]) ).
thf(f46970,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_351 ),
inference(constrained_superposition,[],[f18187,f795]) ).
thf(f46984,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f46970]) ).
thf(f46986,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_341
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f46984,f31922]) ).
thf(f46987,plain,
( ~ spl0_57
| spl0_497
| spl0_341
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f46986,f18186,f17879,f39813,f969]) ).
thf(f47007,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_224
| ~ spl0_262 ),
inference(constrained_superposition,[],[f46054,f15333]) ).
thf(f47008,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_224
| ~ spl0_267 ),
inference(constrained_superposition,[],[f46054,f15353]) ).
thf(f47009,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_224
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f47008]) ).
thf(f47013,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_224
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f47007]) ).
thf(f47070,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_314 ),
inference(constrained_superposition,[],[f17284,f136]) ).
thf(f47072,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f47070]) ).
thf(f47081,definition,
( spl0_526
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_526])],[avatar_definition]) ).
thf(f47082,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_526 ),
inference(avatar_component_clause,[],[f47081]) ).
thf(f47083,plain,
( spl0_526
| spl0_335
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f47072,f17283,f17854,f47081]) ).
thf(f47140,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_365 ),
inference(constrained_superposition,[],[f18585,f796]) ).
thf(f47144,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_365 ),
inference(trivial_inequality_removal,[],[f47140]) ).
thf(f47155,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_179 ),
inference(constrained_superposition,[],[f45613,f796]) ).
thf(f47162,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f47155]) ).
thf(f47270,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_215
| ~ spl0_217 ),
inference(constrained_superposition,[],[f45479,f14668]) ).
thf(f47273,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_215
| ~ spl0_232 ),
inference(constrained_superposition,[],[f45479,f14870]) ).
thf(f47275,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_215
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f47273]) ).
thf(f47276,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_215
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f47270]) ).
thf(f47278,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_215
| ~ spl0_232
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f47275,f15353]) ).
thf(f47279,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_212
| ~ spl0_215
| ~ spl0_217 ),
inference(forward_subsumption_resolution,[],[f47276,f14634]) ).
thf(f47280,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_212
| ~ spl0_215
| ~ spl0_232
| ~ spl0_267 ),
inference(constrained_superposition,[],[f47278,f14634]) ).
thf(f47281,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_215
| ~ spl0_220
| ~ spl0_232
| ~ spl0_267 ),
inference(constrained_superposition,[],[f47278,f14678]) ).
thf(f47286,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_212
| ~ spl0_215
| ~ spl0_232
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f47280]) ).
thf(f47289,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_215
| ~ spl0_220
| ~ spl0_232
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f47281]) ).
thf(f47290,plain,
( $false
| ~ spl0_212
| ~ spl0_215
| ~ spl0_232
| ~ spl0_267
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f47286,f17876]) ).
thf(f47291,plain,
( ~ spl0_212
| ~ spl0_215
| ~ spl0_232
| ~ spl0_267
| ~ spl0_340 ),
inference(avatar_contradiction_clause,[],[f47290]) ).
thf(f47292,plain,
( $false
| ~ spl0_215
| ~ spl0_220
| ~ spl0_232
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f47289,f14870]) ).
thf(f47293,plain,
( ~ spl0_215
| ~ spl0_220
| ~ spl0_232
| ~ spl0_267 ),
inference(avatar_contradiction_clause,[],[f47292]) ).
thf(f47296,definition,
( spl0_529
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_529])],[avatar_definition]) ).
thf(f47297,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_529 ),
inference(avatar_component_clause,[],[f47296]) ).
thf(f47298,plain,
( spl0_232
| spl0_529
| ~ spl0_227
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f46416,f15089,f14835,f47296,f14869]) ).
thf(f47299,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_212
| ~ spl0_215
| ~ spl0_217 ),
inference(constrained_superposition,[],[f47279,f14668]) ).
thf(f47304,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_212
| ~ spl0_215
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f47299]) ).
thf(f47305,plain,
( $false
| ~ spl0_212
| ~ spl0_215
| ~ spl0_217
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f47304,f14678]) ).
thf(f47306,plain,
( ~ spl0_212
| ~ spl0_215
| ~ spl0_217
| ~ spl0_220 ),
inference(avatar_contradiction_clause,[],[f47305]) ).
thf(f47329,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_242
| ~ spl0_303 ),
inference(constrained_superposition,[],[f17065,f15019]) ).
thf(f47333,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_242
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f47329]) ).
thf(f47337,plain,
( $false
| ~ spl0_25
| ~ spl0_242
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f47333,f311]) ).
thf(f47338,plain,
( ~ spl0_25
| ~ spl0_242
| ~ spl0_303 ),
inference(avatar_contradiction_clause,[],[f47337]) ).
thf(f47342,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_236
| ~ spl0_249 ),
inference(constrained_superposition,[],[f14943,f15090]) ).
thf(f47343,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_236
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f47342]) ).
thf(f47485,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_159
| ~ spl0_337 ),
inference(constrained_superposition,[],[f13131,f17865]) ).
thf(f47492,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_159
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f47485]) ).
thf(f47510,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_215
| ~ spl0_249 ),
inference(constrained_superposition,[],[f45864,f14661]) ).
thf(f47512,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_215
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f47510]) ).
thf(f47515,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219
| ~ spl0_290 ),
inference(constrained_superposition,[],[f16294,f14675]) ).
thf(f47540,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f47515]) ).
thf(f47563,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219
| ~ spl0_290
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f47540,f27383]) ).
thf(f47566,plain,
( spl0_496
| ~ spl0_219
| ~ spl0_290
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f47563,f18281,f16293,f14674,f39808]) ).
thf(f47567,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_213
| ~ spl0_354 ),
inference(constrained_superposition,[],[f18200,f14637]) ).
thf(f47602,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_213
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f47567]) ).
thf(f47615,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_213
| ~ spl0_354
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f47602,f27383]) ).
thf(f47618,plain,
( spl0_496
| ~ spl0_213
| ~ spl0_354
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f47615,f18281,f18199,f14636,f39808]) ).
thf(f47676,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_355
| ~ spl0_496 ),
inference(constrained_superposition,[],[f39809,f27383]) ).
thf(f47683,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_355
| ~ spl0_496 ),
inference(trivial_inequality_removal,[],[f47676]) ).
thf(f47690,plain,
( $false
| ~ spl0_284
| ~ spl0_355
| ~ spl0_496 ),
inference(forward_subsumption_resolution,[],[f47683,f27313]) ).
thf(f47691,plain,
( ~ spl0_284
| ~ spl0_355
| ~ spl0_496 ),
inference(avatar_contradiction_clause,[],[f47690]) ).
thf(f47701,definition,
( spl0_532
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_532])],[avatar_definition]) ).
thf(f47702,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_532 ),
inference(avatar_component_clause,[],[f47701]) ).
thf(f47703,plain,
( spl0_532
| spl0_319
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f47144,f18584,f17304,f47701]) ).
thf(f47716,definition,
( spl0_535
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_535])],[avatar_definition]) ).
thf(f47717,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_535 ),
inference(avatar_component_clause,[],[f47716]) ).
thf(f47719,plain,
( spl0_232
| spl0_233
| ~ spl0_215
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f47512,f15089,f14660,f14872,f14869]) ).
thf(f47720,plain,
( spl0_232
| spl0_236
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f47343,f15089,f14889,f14869]) ).
thf(f47765,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_213
| ~ spl0_497 ),
inference(constrained_superposition,[],[f39814,f14637]) ).
thf(f47777,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_213
| ~ spl0_497 ),
inference(trivial_inequality_removal,[],[f47765]) ).
thf(f47780,plain,
( ~ spl0_322
| ~ spl0_213
| ~ spl0_497 ),
inference(avatar_split_clause,[],[f47777,f39813,f14636,f17315]) ).
thf(f47781,plain,
( spl0_347
| ~ spl0_308
| ~ spl0_159
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f47492,f17864,f13130,f17193,f18054]) ).
thf(f47782,plain,
( spl0_386
| spl0_63
| ~ spl0_65
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f46404,f15089,f1084,f1046,f21160]) ).
thf(f47784,definition,
( spl0_536
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_536])],[avatar_definition]) ).
thf(f47785,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_536 ),
inference(avatar_component_clause,[],[f47784]) ).
thf(f47787,plain,
( spl0_259
| ~ spl0_1
| ~ spl0_419
| ~ spl0_504 ),
inference(avatar_split_clause,[],[f46569,f40298,f27399,f73,f15320]) ).
thf(f47790,plain,
( spl0_340
| spl0_513
| ~ spl0_211
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f46887,f15089,f14629,f44408,f17875]) ).
thf(f47792,plain,
( spl0_33
| spl0_49
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f46722,f340,f596,f420]) ).
thf(f47906,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_214
| ~ spl0_292 ),
inference(constrained_superposition,[],[f14657,f27364]) ).
thf(f47909,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_179
| ~ spl0_292 ),
inference(constrained_superposition,[],[f45613,f27364]) ).
thf(f47934,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_214
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f47906]) ).
thf(f47951,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_179
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f47909]) ).
thf(f47957,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_214
| ~ spl0_292
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f47934,f27383]) ).
thf(f47965,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_162
| ~ spl0_293 ),
inference(constrained_superposition,[],[f13145,f16305]) ).
thf(f47970,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_162
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f47965]) ).
thf(f48192,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_523 ),
inference(constrained_superposition,[],[f46910,f37]) ).
thf(f48201,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_523 ),
inference(trivial_inequality_removal,[],[f48192]) ).
thf(f48213,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65
| ~ spl0_224 ),
inference(constrained_superposition,[],[f45937,f18786]) ).
thf(f48214,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65
| ~ spl0_293 ),
inference(constrained_superposition,[],[f45937,f16305]) ).
thf(f48216,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65
| ~ spl0_386 ),
inference(constrained_superposition,[],[f45937,f21161]) ).
thf(f48219,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f48216]) ).
thf(f48220,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f48214]) ).
thf(f48222,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f48213]) ).
thf(f48223,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_38
| ~ spl0_65
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f48219,f439]) ).
thf(f48224,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65
| ~ spl0_224
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f48222,f14946]) ).
thf(f48226,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_38
| ~ spl0_65
| ~ spl0_240
| ~ spl0_386 ),
inference(constrained_superposition,[],[f48223,f14946]) ).
thf(f48234,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_38
| ~ spl0_65
| ~ spl0_240
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f48226]) ).
thf(f48235,plain,
( $false
| ~ spl0_38
| ~ spl0_65
| ~ spl0_240
| ~ spl0_267
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f48234,f15353]) ).
thf(f48236,plain,
( ~ spl0_38
| ~ spl0_65
| ~ spl0_240
| ~ spl0_267
| ~ spl0_386 ),
inference(avatar_contradiction_clause,[],[f48235]) ).
thf(f48237,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_234
| ~ spl0_523 ),
inference(forward_subsumption_resolution,[],[f48201,f14879]) ).
thf(f48239,definition,
( spl0_537
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_537])],[avatar_definition]) ).
thf(f48240,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_537 ),
inference(avatar_component_clause,[],[f48239]) ).
thf(f48241,plain,
( ~ spl0_244
| spl0_537
| ~ spl0_65
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f48220,f16304,f1084,f48239,f15026]) ).
thf(f48247,plain,
( ~ spl0_21
| ~ spl0_51
| spl0_234
| ~ spl0_523 ),
inference(avatar_split_clause,[],[f48237,f46909,f14878,f949,f250]) ).
thf(f48312,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_65
| ~ spl0_215
| ~ spl0_224
| ~ spl0_240 ),
inference(constrained_superposition,[],[f48224,f14661]) ).
thf(f48317,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_65
| ~ spl0_215
| ~ spl0_224
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f48312]) ).
thf(f48320,plain,
( ~ spl0_244
| ~ spl0_65
| ~ spl0_215
| ~ spl0_224
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f48317,f14945,f14798,f14660,f1084,f15026]) ).
thf(f48321,plain,
( spl0_515
| ~ spl0_236
| ~ spl0_162
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f47970,f16304,f13144,f14889,f44424]) ).
thf(f48325,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_396 ),
inference(constrained_superposition,[],[f46492,f31]) ).
thf(f48327,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f48325]) ).
thf(f48329,plain,
( spl0_114
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f48327,f21202,f6667]) ).
thf(f48340,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_324
| ~ spl0_536 ),
inference(constrained_superposition,[],[f47785,f17357]) ).
thf(f48343,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_324
| ~ spl0_536 ),
inference(trivial_inequality_removal,[],[f48340]) ).
thf(f48346,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_25
| ~ spl0_324
| ~ spl0_536 ),
inference(forward_subsumption_resolution,[],[f48343,f311]) ).
thf(f48348,plain,
( $false
| ~ spl0_12
| ~ spl0_25
| ~ spl0_324
| ~ spl0_536 ),
inference(forward_subsumption_resolution,[],[f48346,f192]) ).
thf(f48349,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_324
| ~ spl0_536 ),
inference(avatar_contradiction_clause,[],[f48348]) ).
thf(f48362,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_162
| ~ spl0_341 ),
inference(constrained_superposition,[],[f13145,f17880]) ).
thf(f48368,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_162
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f48362]) ).
thf(f48374,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_210
| ~ spl0_214
| ~ spl0_292
| ~ spl0_355 ),
inference(constrained_superposition,[],[f47957,f14627]) ).
thf(f48403,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_210
| ~ spl0_214
| ~ spl0_292
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f48374]) ).
thf(f48425,plain,
( $false
| ~ spl0_210
| ~ spl0_214
| ~ spl0_292
| spl0_308
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f48403,f18052]) ).
thf(f48426,plain,
( ~ spl0_210
| ~ spl0_214
| ~ spl0_292
| spl0_308
| ~ spl0_355 ),
inference(avatar_contradiction_clause,[],[f48425]) ).
thf(f48432,definition,
( spl0_538
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_538])],[avatar_definition]) ).
thf(f48433,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_538 ),
inference(avatar_component_clause,[],[f48432]) ).
thf(f48437,plain,
( ~ spl0_18
| spl0_413
| ~ spl0_419
| ~ spl0_466 ),
inference(avatar_split_clause,[],[f46484,f32631,f27399,f27299,f240]) ).
thf(f48438,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_98
| ~ spl0_466 ),
inference(forward_subsumption_resolution,[],[f46483,f15028]) ).
thf(f48440,plain,
( spl0_413
| ~ spl0_18
| spl0_98
| ~ spl0_466 ),
inference(avatar_split_clause,[],[f48438,f32631,f3579,f240,f27299]) ).
thf(f48500,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_253
| ~ spl0_518 ),
inference(constrained_superposition,[],[f44442,f15298]) ).
thf(f48503,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_224
| ~ spl0_253 ),
inference(constrained_superposition,[],[f46054,f15298]) ).
thf(f48504,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f29,f15298]) ).
thf(f48507,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_253
| ~ spl0_518 ),
inference(trivial_inequality_removal,[],[f48500]) ).
thf(f48509,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f48504]) ).
thf(f48510,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_224
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f48503]) ).
thf(f48511,plain,
( spl0_275
| ~ spl0_224
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f48510,f15297,f14798,f15612]) ).
thf(f48580,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_65
| ~ spl0_211
| ~ spl0_224
| ~ spl0_240 ),
inference(constrained_superposition,[],[f48224,f14630]) ).
thf(f48582,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_65
| ~ spl0_211
| ~ spl0_224
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f48580]) ).
thf(f48587,plain,
( ~ spl0_337
| ~ spl0_65
| ~ spl0_211
| ~ spl0_224
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f48582,f14945,f14798,f14629,f1084,f17864]) ).
thf(f48588,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f947,f14637]) ).
thf(f48609,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f48588]) ).
thf(f48627,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_220
| ~ spl0_537 ),
inference(constrained_superposition,[],[f48240,f14678]) ).
thf(f48628,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_236
| ~ spl0_537 ),
inference(constrained_superposition,[],[f48240,f14890]) ).
thf(f48629,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_236
| ~ spl0_537 ),
inference(trivial_inequality_removal,[],[f48628]) ).
thf(f48630,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_220
| ~ spl0_537 ),
inference(trivial_inequality_removal,[],[f48627]) ).
thf(f48631,plain,
( $false
| ~ spl0_38
| ~ spl0_236
| ~ spl0_537 ),
inference(forward_subsumption_resolution,[],[f48629,f439]) ).
thf(f48632,plain,
( ~ spl0_38
| ~ spl0_236
| ~ spl0_537 ),
inference(avatar_contradiction_clause,[],[f48631]) ).
thf(f48633,plain,
( $false
| ~ spl0_220
| ~ spl0_240
| ~ spl0_537 ),
inference(forward_subsumption_resolution,[],[f48630,f14946]) ).
thf(f48634,plain,
( ~ spl0_220
| ~ spl0_240
| ~ spl0_537 ),
inference(avatar_contradiction_clause,[],[f48633]) ).
thf(f48689,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_222
| ~ spl0_515 ),
inference(constrained_superposition,[],[f44425,f14685]) ).
thf(f48690,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_220
| ~ spl0_515 ),
inference(constrained_superposition,[],[f44425,f14678]) ).
thf(f48692,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_220
| ~ spl0_515 ),
inference(trivial_inequality_removal,[],[f48690]) ).
thf(f48693,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_222
| ~ spl0_515 ),
inference(trivial_inequality_removal,[],[f48689]) ).
thf(f48695,plain,
( $false
| ~ spl0_220
| ~ spl0_224
| ~ spl0_515 ),
inference(forward_subsumption_resolution,[],[f48692,f18786]) ).
thf(f48696,plain,
( ~ spl0_220
| ~ spl0_224
| ~ spl0_515 ),
inference(avatar_contradiction_clause,[],[f48695]) ).
thf(f48697,plain,
( $false
| ~ spl0_222
| ~ spl0_341
| ~ spl0_515 ),
inference(forward_subsumption_resolution,[],[f48693,f17880]) ).
thf(f48698,plain,
( ~ spl0_222
| ~ spl0_341
| ~ spl0_515 ),
inference(avatar_contradiction_clause,[],[f48697]) ).
thf(f48736,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_526 ),
inference(constrained_superposition,[],[f47082,f37]) ).
thf(f48743,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_526 ),
inference(trivial_inequality_removal,[],[f48736]) ).
thf(f48791,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_217
| ~ spl0_233 ),
inference(constrained_superposition,[],[f14873,f14668]) ).
thf(f48793,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_217
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f48791]) ).
thf(f48798,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_267
| ~ spl0_275 ),
inference(constrained_superposition,[],[f15613,f15353]) ).
thf(f48802,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_267
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f48798]) ).
thf(f48873,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_253
| ~ spl0_262 ),
inference(constrained_superposition,[],[f48509,f15333]) ).
thf(f48874,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_253
| ~ spl0_267 ),
inference(constrained_superposition,[],[f48509,f15353]) ).
thf(f48876,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_253
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f48874]) ).
thf(f48878,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_253
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f48873]) ).
thf(f48879,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_38
| ~ spl0_253
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f48876,f439]) ).
thf(f48880,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_12
| ~ spl0_253
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f48878,f192]) ).
thf(f48881,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_38
| ~ spl0_240
| ~ spl0_253
| ~ spl0_267 ),
inference(constrained_superposition,[],[f48879,f14946]) ).
thf(f48884,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_38
| ~ spl0_240
| ~ spl0_253
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f48881]) ).
thf(f48887,plain,
( $false
| ~ spl0_38
| ~ spl0_240
| ~ spl0_253
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f48884,f15353]) ).
thf(f48888,plain,
( ~ spl0_38
| ~ spl0_240
| ~ spl0_253
| ~ spl0_267 ),
inference(avatar_contradiction_clause,[],[f48887]) ).
thf(f48891,plain,
( ~ spl0_212
| ~ spl0_308
| ~ spl0_217
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f48793,f14872,f14667,f17193,f14633]) ).
thf(f48893,definition,
( spl0_539
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_539])],[avatar_definition]) ).
thf(f48894,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_539 ),
inference(avatar_component_clause,[],[f48893]) ).
thf(f48895,plain,
( ~ spl0_308
| spl0_539
| ~ spl0_162
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f48368,f17879,f13144,f48893,f17193]) ).
thf(f48897,definition,
( spl0_540
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_540])],[avatar_definition]) ).
thf(f48898,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_540 ),
inference(avatar_component_clause,[],[f48897]) ).
thf(f48958,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_12
| ~ spl0_38
| ~ spl0_253
| ~ spl0_262 ),
inference(constrained_superposition,[],[f48880,f439]) ).
thf(f48960,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_12
| ~ spl0_38
| ~ spl0_253
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f48958]) ).
thf(f48961,plain,
( $false
| ~ spl0_12
| ~ spl0_25
| ~ spl0_38
| ~ spl0_253
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f48960,f311]) ).
thf(f48962,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_38
| ~ spl0_253
| ~ spl0_262 ),
inference(avatar_contradiction_clause,[],[f48961]) ).
thf(f48963,plain,
( ~ spl0_16
| ~ spl0_65
| ~ spl0_253
| ~ spl0_518 ),
inference(avatar_split_clause,[],[f48507,f44441,f15297,f1084,f218]) ).
thf(f48967,plain,
( ~ spl0_386
| ~ spl0_38
| ~ spl0_267
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f48802,f15612,f15352,f438,f21160]) ).
thf(f48970,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_213
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f48609,f27364]) ).
thf(f48971,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_179
| ~ spl0_292
| ~ spl0_419 ),
inference(forward_subsumption_resolution,[],[f47951,f27400]) ).
thf(f48973,definition,
( spl0_541
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_541])],[avatar_definition]) ).
thf(f48974,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_541 ),
inference(avatar_component_clause,[],[f48973]) ).
thf(f48975,plain,
( spl0_65
| spl0_541
| ~ spl0_51
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f47162,f13303,f949,f48973,f1084]) ).
thf(f48981,plain,
( spl0_64
| spl0_481
| ~ spl0_21
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f46440,f14656,f250,f36167,f1049]) ).
thf(f48989,definition,
( spl0_542
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_542])],[avatar_definition]) ).
thf(f48990,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_542 ),
inference(avatar_component_clause,[],[f48989]) ).
thf(f48991,plain,
( ~ spl0_38
| spl0_542
| ~ spl0_253
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f48876,f15352,f15297,f48989,f438]) ).
thf(f48992,plain,
( ~ spl0_9
| ~ spl0_21
| spl0_64
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f46705,f9060,f1049,f250,f168]) ).
thf(f48993,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_234
| ~ spl0_526 ),
inference(forward_subsumption_resolution,[],[f48743,f14879]) ).
thf(f48997,plain,
( spl0_341
| spl0_294
| ~ spl0_213
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f48970,f16301,f14636,f16307,f17879]) ).
thf(f48998,plain,
( spl0_65
| ~ spl0_51
| ~ spl0_179
| ~ spl0_292
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f48971,f27399,f16301,f13303,f949,f1084]) ).
thf(f49002,plain,
( ~ spl0_9
| ~ spl0_21
| spl0_234
| ~ spl0_526 ),
inference(avatar_split_clause,[],[f48993,f47081,f14878,f250,f168]) ).
thf(f49016,plain,
( spl0_518
| ~ spl0_224
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f47009,f15352,f14798,f44441]) ).
thf(f49018,plain,
( spl0_405
| ~ spl0_224
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f47013,f15332,f14798,f24911]) ).
thf(f49022,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_114
| spl0_242 ),
inference(constrained_superposition,[],[f15044,f6668]) ).
thf(f49027,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_114
| spl0_242 ),
inference(trivial_inequality_removal,[],[f49022]) ).
thf(f49028,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_114
| spl0_242 ),
inference(forward_subsumption_resolution,[],[f49027,f27]) ).
thf(f49029,plain,
( spl0_232
| spl0_229
| ~ spl0_114
| spl0_242 ),
inference(avatar_split_clause,[],[f49028,f15018,f6667,f14846,f14869]) ).
thf(f49041,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_25 ),
inference(constrained_superposition,[],[f44455,f212]) ).
thf(f49043,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f49041]) ).
thf(f49045,plain,
( spl0_511
| ~ spl0_14
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f49043,f310,f211,f44398]) ).
thf(f49060,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f21209,f31]) ).
thf(f49061,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f49060]) ).
thf(f49105,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_98 ),
inference(constrained_superposition,[],[f44455,f3580]) ).
thf(f49106,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_98 ),
inference(constrained_superposition,[],[f29,f3580]) ).
thf(f49107,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_25
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f49105]) ).
thf(f49108,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f49106]) ).
thf(f49109,plain,
( spl0_477
| ~ spl0_25
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f49107,f3579,f310,f35295]) ).
thf(f49170,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_340 ),
inference(constrained_superposition,[],[f29,f17876]) ).
thf(f49172,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f49170]) ).
thf(f49291,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_283 ),
inference(constrained_superposition,[],[f15935,f38]) ).
thf(f49296,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_283 ),
inference(trivial_inequality_removal,[],[f49291]) ).
thf(f49299,plain,
( spl0_244
| spl0_226
| spl0_283 ),
inference(avatar_split_clause,[],[f49296,f15934,f14831,f15026]) ).
thf(f49302,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_244 ),
inference(constrained_superposition,[],[f29,f15027]) ).
thf(f49305,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f49302]) ).
thf(f49335,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_507 ),
inference(constrained_superposition,[],[f41491,f796]) ).
thf(f49344,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_507 ),
inference(trivial_inequality_removal,[],[f49335]) ).
thf(f49348,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f80,f57]) ).
thf(f49352,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f49348]) ).
thf(f49361,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_273 ),
inference(constrained_superposition,[],[f15380,f31]) ).
thf(f49366,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_273 ),
inference(trivial_inequality_removal,[],[f49361]) ).
thf(f49367,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_337 ),
inference(constrained_superposition,[],[f1059,f17865]) ).
thf(f49368,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_67
| ~ spl0_337 ),
inference(constrained_superposition,[],[f1122,f17865]) ).
thf(f49370,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_12
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f49367]) ).
thf(f49371,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_67
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f49368]) ).
thf(f49486,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_216
| ~ spl0_538 ),
inference(constrained_superposition,[],[f48433,f14664]) ).
thf(f49489,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_538 ),
inference(constrained_superposition,[],[f48433,f135]) ).
thf(f49499,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_216
| ~ spl0_538 ),
inference(trivial_inequality_removal,[],[f49486]) ).
thf(f49502,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_538 ),
inference(trivial_inequality_removal,[],[f49489]) ).
thf(f49506,plain,
( $false
| ~ spl0_216
| spl0_236
| ~ spl0_538 ),
inference(forward_subsumption_resolution,[],[f49499,f14943]) ).
thf(f49507,plain,
( ~ spl0_216
| spl0_236
| ~ spl0_538 ),
inference(avatar_contradiction_clause,[],[f49506]) ).
thf(f49508,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_240
| ~ spl0_538 ),
inference(forward_subsumption_resolution,[],[f49502,f14950]) ).
thf(f49509,plain,
( $false
| spl0_16
| spl0_240
| ~ spl0_538 ),
inference(forward_subsumption_resolution,[],[f49508,f599]) ).
thf(f49510,plain,
( spl0_16
| spl0_240
| ~ spl0_538 ),
inference(avatar_contradiction_clause,[],[f49509]) ).
thf(f49511,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f49061,f31]) ).
thf(f49513,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_397 ),
inference(duplicate_literal_removal,[],[f49511]) ).
thf(f49514,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f49513]) ).
thf(f49523,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f153,f14627]) ).
thf(f49539,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f49523]) ).
thf(f49556,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_210
| spl0_240 ),
inference(forward_subsumption_resolution,[],[f49539,f14950]) ).
thf(f49559,plain,
( ~ spl0_361
| spl0_360
| ~ spl0_210
| spl0_240 ),
inference(avatar_split_clause,[],[f49556,f14945,f14626,f18560,f18563]) ).
thf(f49767,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_159
| ~ spl0_244 ),
inference(constrained_superposition,[],[f13131,f15027]) ).
thf(f49769,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_12
| ~ spl0_159 ),
inference(constrained_superposition,[],[f13131,f192]) ).
thf(f49771,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_12
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f49769]) ).
thf(f49772,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_159
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f49767]) ).
thf(f49802,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_539 ),
inference(constrained_superposition,[],[f48894,f14634]) ).
thf(f49803,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_337
| ~ spl0_539 ),
inference(constrained_superposition,[],[f48894,f17865]) ).
thf(f49804,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_539 ),
inference(trivial_inequality_removal,[],[f49802]) ).
thf(f49805,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_337
| ~ spl0_539 ),
inference(trivial_inequality_removal,[],[f49803]) ).
thf(f49806,plain,
( $false
| ~ spl0_212
| ~ spl0_224
| ~ spl0_539 ),
inference(forward_subsumption_resolution,[],[f49804,f18786]) ).
thf(f49807,plain,
( ~ spl0_212
| ~ spl0_224
| ~ spl0_539 ),
inference(avatar_contradiction_clause,[],[f49806]) ).
thf(f49808,plain,
( $false
| ~ spl0_65
| ~ spl0_337
| ~ spl0_539 ),
inference(forward_subsumption_resolution,[],[f49805,f1085]) ).
thf(f49809,plain,
( ~ spl0_65
| ~ spl0_337
| ~ spl0_539 ),
inference(avatar_contradiction_clause,[],[f49808]) ).
thf(f49817,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_221
| ~ spl0_305 ),
inference(constrained_superposition,[],[f17081,f14682]) ).
thf(f49826,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_221
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f49817]) ).
thf(f49836,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_218
| ~ spl0_221
| ~ spl0_305 ),
inference(constrained_superposition,[],[f49826,f14671]) ).
thf(f49853,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_218
| ~ spl0_221
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f49836]) ).
thf(f49855,plain,
( ~ spl0_304
| ~ spl0_218
| ~ spl0_221
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f49853,f17080,f14681,f14670,f17077]) ).
thf(f49972,definition,
( spl0_544
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_544])],[avatar_definition]) ).
thf(f49973,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_544 ),
inference(avatar_component_clause,[],[f49972]) ).
thf(f49975,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_544 ),
inference(constrained_superposition,[],[f49973,f135]) ).
thf(f49979,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_544 ),
inference(trivial_inequality_removal,[],[f49975]) ).
thf(f50002,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_222
| ~ spl0_340 ),
inference(constrained_superposition,[],[f49172,f14685]) ).
thf(f50008,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_222
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f50002]) ).
thf(f50052,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_448 ),
inference(constrained_superposition,[],[f30842,f37]) ).
thf(f50065,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f50052]) ).
thf(f50066,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_98
| ~ spl0_220 ),
inference(constrained_superposition,[],[f49108,f14678]) ).
thf(f50067,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_98
| ~ spl0_212 ),
inference(constrained_superposition,[],[f49108,f14634]) ).
thf(f50070,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_98
| ~ spl0_267 ),
inference(constrained_superposition,[],[f49108,f15353]) ).
thf(f50073,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_98
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f50070]) ).
thf(f50075,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_98
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f50067]) ).
thf(f50076,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_98
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f50066]) ).
thf(f50077,plain,
( spl0_309
| ~ spl0_98
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f50075,f14633,f3579,f17196]) ).
thf(f50078,plain,
( spl0_237
| ~ spl0_98
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f50076,f14677,f3579,f14902]) ).
thf(f50162,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_352 ),
inference(constrained_superposition,[],[f18192,f795]) ).
thf(f50177,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_352 ),
inference(trivial_inequality_removal,[],[f50162]) ).
thf(f50179,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_341
| ~ spl0_352 ),
inference(forward_subsumption_resolution,[],[f50177,f31922]) ).
thf(f50181,definition,
( spl0_545
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_545])],[avatar_definition]) ).
thf(f50182,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_545 ),
inference(avatar_component_clause,[],[f50181]) ).
thf(f50184,plain,
( spl0_497
| ~ spl0_51
| spl0_341
| ~ spl0_352 ),
inference(avatar_split_clause,[],[f50179,f18191,f17879,f949,f39813]) ).
thf(f50191,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_254 ),
inference(constrained_superposition,[],[f15301,f796]) ).
thf(f50200,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f50191]) ).
thf(f50224,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f16294,f56]) ).
thf(f50226,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f16294,f37]) ).
thf(f50229,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f50224]) ).
thf(f50233,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f50226]) ).
thf(f50265,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_314 ),
inference(constrained_superposition,[],[f17284,f796]) ).
thf(f50272,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f50265]) ).
thf(f50327,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_217
| ~ spl0_244 ),
inference(constrained_superposition,[],[f49305,f14668]) ).
thf(f50330,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_232
| ~ spl0_244 ),
inference(constrained_superposition,[],[f49305,f14870]) ).
thf(f50331,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_244
| ~ spl0_397 ),
inference(constrained_superposition,[],[f49305,f49514]) ).
thf(f50332,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_244
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f50331]) ).
thf(f50334,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_217
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f50327]) ).
thf(f50335,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_232
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f50330]) ).
thf(f50337,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_159
| ~ spl0_244
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f50332,f13131]) ).
thf(f50338,plain,
( spl0_346
| ~ spl0_217
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f50334,f15026,f14667,f18042]) ).
thf(f50339,plain,
( spl0_529
| ~ spl0_232
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f50335,f15026,f14869,f47296]) ).
thf(f50340,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_159
| ~ spl0_244
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f50337,f27]) ).
thf(f50341,plain,
( spl0_529
| ~ spl0_159
| ~ spl0_244
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f50340,f21208,f15026,f13130,f47296]) ).
thf(f50367,plain,
( spl0_523
| spl0_268
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f50200,f15300,f15358,f46909]) ).
thf(f50369,plain,
( ~ spl0_51
| spl0_259
| ~ spl0_507 ),
inference(avatar_split_clause,[],[f49344,f41490,f15320,f949]) ).
thf(f50373,plain,
( spl0_319
| spl0_523
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f50272,f17283,f46909,f17304]) ).
thf(f50374,plain,
( spl0_287
| spl0_268
| spl0_273 ),
inference(avatar_split_clause,[],[f49366,f15379,f15358,f16132]) ).
thf(f50406,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_319
| ~ spl0_340 ),
inference(constrained_superposition,[],[f49172,f17305]) ).
thf(f50410,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_319
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f50406]) ).
thf(f50433,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_218 ),
inference(constrained_superposition,[],[f947,f14671]) ).
thf(f50435,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl0_218 ),
inference(constrained_superposition,[],[f153,f14671]) ).
thf(f50436,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_218 ),
inference(constrained_superposition,[],[f49352,f14671]) ).
thf(f50438,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_218 ),
inference(constrained_superposition,[],[f71,f14671]) ).
thf(f50442,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_218
| ~ spl0_524 ),
inference(constrained_superposition,[],[f46964,f14671]) ).
thf(f50447,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_218 ),
inference(constrained_superposition,[],[f341,f14671]) ).
thf(f50455,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_218
| ~ spl0_524 ),
inference(trivial_inequality_removal,[],[f50442]) ).
thf(f50457,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f50438]) ).
thf(f50458,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_3
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f50436]) ).
thf(f50470,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f50433]) ).
thf(f50471,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f50435]) ).
thf(f50474,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_29
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f50447]) ).
thf(f50476,plain,
( ~ spl0_322
| ~ spl0_218
| ~ spl0_524 ),
inference(avatar_split_clause,[],[f50455,f46963,f14670,f17315]) ).
thf(f50480,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_268
| ~ spl0_529 ),
inference(constrained_superposition,[],[f47297,f15359]) ).
thf(f50481,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_264
| ~ spl0_529 ),
inference(constrained_superposition,[],[f47297,f15340]) ).
thf(f50484,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_264
| ~ spl0_529 ),
inference(trivial_inequality_removal,[],[f50481]) ).
thf(f50486,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_268
| ~ spl0_529 ),
inference(trivial_inequality_removal,[],[f50480]) ).
thf(f50488,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_12
| ~ spl0_264
| ~ spl0_529 ),
inference(forward_subsumption_resolution,[],[f50484,f192]) ).
thf(f50489,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_64
| ~ spl0_268
| ~ spl0_529 ),
inference(forward_subsumption_resolution,[],[f50486,f1050]) ).
thf(f50490,plain,
( $false
| ~ spl0_12
| ~ spl0_25
| ~ spl0_264
| ~ spl0_529 ),
inference(forward_subsumption_resolution,[],[f50488,f311]) ).
thf(f50491,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_264
| ~ spl0_529 ),
inference(avatar_contradiction_clause,[],[f50490]) ).
thf(f50492,plain,
( $false
| ~ spl0_64
| ~ spl0_85
| ~ spl0_268
| ~ spl0_529 ),
inference(forward_subsumption_resolution,[],[f50489,f1472]) ).
thf(f50493,plain,
( ~ spl0_64
| ~ spl0_85
| ~ spl0_268
| ~ spl0_529 ),
inference(avatar_contradiction_clause,[],[f50492]) ).
thf(f50496,plain,
( spl0_303
| ~ spl0_236
| ~ spl0_222
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f50008,f17875,f14684,f14889,f17064]) ).
thf(f50499,plain,
( spl0_472
| ~ spl0_311
| ~ spl0_12
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f49370,f17864,f191,f17211,f34990]) ).
thf(f50500,plain,
( ~ spl0_236
| spl0_303
| ~ spl0_159
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f49772,f15026,f13130,f17064,f14889]) ).
thf(f50503,plain,
( ~ spl0_311
| ~ spl0_67
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f49371,f17864,f1121,f17211]) ).
thf(f50504,plain,
( spl0_507
| ~ spl0_21
| spl0_236
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f50233,f16293,f14889,f250,f41490]) ).
thf(f50505,plain,
( spl0_324
| ~ spl0_270
| ~ spl0_3
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f50458,f14670,f79,f15367,f17356]) ).
thf(f50507,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| spl0_242
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f50229,f15044]) ).
thf(f50511,definition,
( spl0_546
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_546])],[avatar_definition]) ).
thf(f50512,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_546 ),
inference(avatar_component_clause,[],[f50511]) ).
thf(f50513,plain,
( spl0_264
| spl0_546
| ~ spl0_29
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f50474,f14670,f340,f50511,f15339]) ).
thf(f50514,plain,
( spl0_453
| spl0_224
| ~ spl0_57
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f46522,f34968,f969,f14798,f31500]) ).
thf(f50518,plain,
( ~ spl0_255
| spl0_256
| spl0_311
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f50457,f14670,f17211,f15309,f15306]) ).
thf(f50519,plain,
( spl0_341
| ~ spl0_273
| spl0_272
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f50470,f14670,f15376,f15379,f17879]) ).
thf(f50520,plain,
( spl0_391
| ~ spl0_64
| ~ spl0_319
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f50410,f17875,f17304,f1049,f21182]) ).
thf(f50526,plain,
( spl0_545
| ~ spl0_18
| spl0_242
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f50507,f16293,f15018,f240,f50181]) ).
thf(f50530,plain,
( spl0_337
| spl0_544 ),
inference(avatar_split_clause,[],[f49979,f49972,f17864]) ).
thf(f50535,plain,
( spl0_337
| ~ spl0_304
| spl0_305
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f50471,f14670,f17080,f17077,f17864]) ).
thf(f50633,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_92
| ~ spl0_285 ),
inference(constrained_superposition,[],[f2371,f27329]) ).
thf(f50648,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_92
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f50633]) ).
thf(f50660,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18
| ~ spl0_92
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f50648,f27319]) ).
thf(f50662,plain,
( ~ spl0_1
| spl0_224
| ~ spl0_18
| ~ spl0_92
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f50660,f15950,f2370,f240,f14798,f73]) ).
thf(f50715,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_244
| ~ spl0_542 ),
inference(constrained_superposition,[],[f48990,f15027]) ).
thf(f50720,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_244
| ~ spl0_542 ),
inference(trivial_inequality_removal,[],[f50715]) ).
thf(f50723,plain,
( $false
| ~ spl0_232
| ~ spl0_244
| ~ spl0_542 ),
inference(forward_subsumption_resolution,[],[f50720,f14870]) ).
thf(f50724,plain,
( ~ spl0_232
| ~ spl0_244
| ~ spl0_542 ),
inference(avatar_contradiction_clause,[],[f50723]) ).
thf(f50725,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_25
| ~ spl0_242 ),
inference(constrained_superposition,[],[f44455,f15019]) ).
thf(f50728,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f50725]) ).
thf(f50729,plain,
( spl0_535
| ~ spl0_25
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f50728,f15018,f310,f47716]) ).
thf(f50731,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_253
| ~ spl0_267 ),
inference(constrained_superposition,[],[f45918,f15298]) ).
thf(f50734,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_253
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f50731]) ).
thf(f50782,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_98
| ~ spl0_132 ),
inference(constrained_superposition,[],[f49108,f9002]) ).
thf(f50787,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_98
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f50782]) ).
thf(f50792,plain,
( spl0_405
| ~ spl0_98
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f50787,f9001,f3579,f24911]) ).
thf(f50853,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_292
| ~ spl0_478 ),
inference(constrained_superposition,[],[f35796,f27364]) ).
thf(f50879,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_292
| ~ spl0_478 ),
inference(trivial_inequality_removal,[],[f50853]) ).
thf(f50890,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_285
| ~ spl0_292
| ~ spl0_478 ),
inference(forward_subsumption_resolution,[],[f50879,f27329]) ).
thf(f50892,plain,
( spl0_446
| ~ spl0_285
| ~ spl0_292
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f50890,f35795,f16301,f15950,f30694]) ).
thf(f50943,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_293
| ~ spl0_512 ),
inference(constrained_superposition,[],[f44405,f16305]) ).
thf(f50948,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_293
| ~ spl0_512 ),
inference(trivial_inequality_removal,[],[f50943]) ).
thf(f50967,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_335
| ~ spl0_340 ),
inference(constrained_superposition,[],[f49172,f17855]) ).
thf(f50969,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_335
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f50967]) ).
thf(f51058,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_232
| ~ spl0_302 ),
inference(constrained_superposition,[],[f16979,f14870]) ).
thf(f51060,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_232
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f51058]) ).
thf(f51064,plain,
( $false
| ~ spl0_38
| ~ spl0_232
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f51060,f439]) ).
thf(f51065,plain,
( ~ spl0_38
| ~ spl0_232
| ~ spl0_302 ),
inference(avatar_contradiction_clause,[],[f51064]) ).
thf(f51096,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_29
| ~ spl0_221 ),
inference(constrained_superposition,[],[f341,f14682]) ).
thf(f51113,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f51096]) ).
thf(f51123,definition,
( spl0_547
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_547])],[avatar_definition]) ).
thf(f51124,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_547 ),
inference(avatar_component_clause,[],[f51123]) ).
thf(f51125,plain,
( spl0_324
| spl0_547
| ~ spl0_29
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f51113,f14681,f340,f51123,f17356]) ).
thf(f51136,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_337
| ~ spl0_542 ),
inference(constrained_superposition,[],[f48990,f17865]) ).
thf(f51138,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_337
| ~ spl0_542 ),
inference(trivial_inequality_removal,[],[f51136]) ).
thf(f51143,plain,
( $false
| ~ spl0_337
| ~ spl0_340
| ~ spl0_542 ),
inference(forward_subsumption_resolution,[],[f51138,f17876]) ).
thf(f51144,plain,
( ~ spl0_337
| ~ spl0_340
| ~ spl0_542 ),
inference(avatar_contradiction_clause,[],[f51143]) ).
thf(f51149,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_219
| ~ spl0_532 ),
inference(constrained_superposition,[],[f47702,f14675]) ).
thf(f51161,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_29
| ~ spl0_219 ),
inference(constrained_superposition,[],[f341,f14675]) ).
thf(f51177,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_29
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f51161]) ).
thf(f51184,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_219
| ~ spl0_532 ),
inference(trivial_inequality_removal,[],[f51149]) ).
thf(f51188,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_219
| spl0_262 ),
inference(forward_subsumption_resolution,[],[f51177,f38413]) ).
thf(f51189,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_219
| ~ spl0_414
| ~ spl0_532 ),
inference(forward_subsumption_resolution,[],[f51184,f27317]) ).
thf(f51190,plain,
( spl0_547
| ~ spl0_29
| ~ spl0_219
| spl0_262 ),
inference(avatar_split_clause,[],[f51188,f15332,f14674,f340,f51123]) ).
thf(f51191,plain,
( $false
| ~ spl0_219
| ~ spl0_285
| ~ spl0_414
| ~ spl0_532 ),
inference(forward_subsumption_resolution,[],[f51189,f27329]) ).
thf(f51192,plain,
( ~ spl0_219
| ~ spl0_285
| ~ spl0_414
| ~ spl0_532 ),
inference(avatar_contradiction_clause,[],[f51191]) ).
thf(f51259,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_29
| ~ spl0_213 ),
inference(constrained_superposition,[],[f341,f14637]) ).
thf(f51274,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_29
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f51259]) ).
thf(f51285,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_213
| spl0_262 ),
inference(forward_subsumption_resolution,[],[f51274,f38413]) ).
thf(f51286,plain,
( spl0_546
| ~ spl0_29
| ~ spl0_213
| spl0_262 ),
inference(avatar_split_clause,[],[f51285,f15332,f14636,f340,f50511]) ).
thf(f51347,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f122,f14664]) ).
thf(f51353,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_29
| ~ spl0_216 ),
inference(constrained_superposition,[],[f341,f14664]) ).
thf(f51360,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f51347]) ).
thf(f51368,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f51353]) ).
thf(f51384,plain,
( spl0_470
| spl0_264
| ~ spl0_29
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f51368,f14663,f340,f15339,f33949]) ).
thf(f51406,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f244,f37]) ).
thf(f51411,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f51406]) ).
thf(f51437,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_29
| ~ spl0_210 ),
inference(constrained_superposition,[],[f341,f14627]) ).
thf(f51459,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_29
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f51437]) ).
thf(f51468,plain,
( spl0_470
| spl0_324
| ~ spl0_29
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f51459,f14626,f340,f17356,f33949]) ).
thf(f51531,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_83
| ~ spl0_292 ),
inference(constrained_superposition,[],[f1447,f27364]) ).
thf(f51544,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_83
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f51531]) ).
thf(f51550,plain,
( spl0_502
| ~ spl0_83
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f51544,f16301,f1446,f40057]) ).
thf(f51551,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_12
| ~ spl0_25
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f49771,f311]) ).
thf(f51553,plain,
( ~ spl0_16
| spl0_70
| ~ spl0_335
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f50969,f17875,f17854,f1177,f218]) ).
thf(f51555,definition,
( spl0_551
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_551])],[avatar_definition]) ).
thf(f51556,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_551 ),
inference(avatar_component_clause,[],[f51555]) ).
thf(f51558,plain,
( ~ spl0_21
| spl0_89
| spl0_234
| ~ spl0_448 ),
inference(avatar_split_clause,[],[f50065,f30841,f14878,f1974,f250]) ).
thf(f51561,plain,
( spl0_416
| spl0_16
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f51411,f243,f218,f27350]) ).
thf(f51566,plain,
( spl0_70
| ~ spl0_16
| ~ spl0_253
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f50734,f15352,f15297,f218,f1177]) ).
thf(f51567,plain,
( spl0_27
| ~ spl0_12
| ~ spl0_25
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f51551,f13130,f310,f191,f317]) ).
thf(f51598,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_12
| ~ spl0_85 ),
inference(constrained_superposition,[],[f1059,f1472]) ).
thf(f51599,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_85
| ~ spl0_511 ),
inference(constrained_superposition,[],[f44399,f1472]) ).
thf(f51600,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_85
| ~ spl0_542 ),
inference(constrained_superposition,[],[f48990,f1472]) ).
thf(f51602,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_85
| ~ spl0_542 ),
inference(trivial_inequality_removal,[],[f51600]) ).
thf(f51603,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f51598]) ).
thf(f51605,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_85
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f51599]) ).
thf(f51606,plain,
( $false
| ~ spl0_85
| ~ spl0_386
| ~ spl0_542 ),
inference(forward_subsumption_resolution,[],[f51602,f21161]) ).
thf(f51607,plain,
( ~ spl0_85
| ~ spl0_386
| ~ spl0_542 ),
inference(avatar_contradiction_clause,[],[f51606]) ).
thf(f51649,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_132
| ~ spl0_415 ),
inference(constrained_superposition,[],[f27334,f9002]) ).
thf(f51654,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_132
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f51649]) ).
thf(f51655,plain,
( ( $true != $true )
| ~ spl0_98
| ~ spl0_132
| ~ spl0_415 ),
inference(constrained_superposition,[],[f51654,f3580]) ).
thf(f51656,plain,
( $false
| ~ spl0_98
| ~ spl0_132
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f51655]) ).
thf(f51657,plain,
( ~ spl0_98
| ~ spl0_132
| ~ spl0_415 ),
inference(avatar_contradiction_clause,[],[f51656]) ).
thf(f51659,plain,
( spl0_262
| spl0_263
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f51360,f14663,f15335,f15332]) ).
thf(f51660,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_64
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f45559,f21132]) ).
thf(f51663,plain,
( spl0_477
| ~ spl0_98
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f50073,f15352,f3579,f35295]) ).
thf(f51664,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_64
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f51660,f9009,f1049,f104,f73]) ).
thf(f51668,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| spl0_25
| ~ spl0_249 ),
inference(constrained_superposition,[],[f319,f15090]) ).
thf(f51675,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_25
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f51668]) ).
thf(f51679,plain,
( $false
| spl0_25
| spl0_28
| ~ spl0_249 ),
inference(forward_subsumption_resolution,[],[f51675,f547]) ).
thf(f51680,plain,
( spl0_25
| spl0_28
| ~ spl0_249 ),
inference(avatar_contradiction_clause,[],[f51679]) ).
thf(f51681,plain,
( ~ spl0_64
| ~ spl0_62
| ~ spl0_85
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f51605,f44398,f1471,f1040,f1049]) ).
thf(f51682,plain,
( spl0_415
| ~ spl0_62
| ~ spl0_12
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f51603,f1471,f191,f1040,f27333]) ).
thf(f51724,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f866,f27329]) ).
thf(f51734,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( r @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f51724]) ).
thf(f51830,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f1339,f135]) ).
thf(f51832,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f1339,f56]) ).
thf(f51839,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f51830]) ).
thf(f51844,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f51832]) ).
thf(f51907,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_545 ),
inference(constrained_superposition,[],[f50182,f36]) ).
thf(f51917,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_545 ),
inference(trivial_inequality_removal,[],[f51907]) ).
thf(f51964,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_215
| ~ spl0_444 ),
inference(constrained_superposition,[],[f28896,f14661]) ).
thf(f51966,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_215
| ~ spl0_444 ),
inference(trivial_inequality_removal,[],[f51964]) ).
thf(f51970,plain,
( ~ spl0_242
| ~ spl0_236
| ~ spl0_293
| ~ spl0_512 ),
inference(avatar_split_clause,[],[f50948,f44404,f16304,f14889,f15018]) ).
thf(f51971,plain,
( ~ spl0_242
| ~ spl0_215
| ~ spl0_444 ),
inference(avatar_split_clause,[],[f51966,f28895,f14660,f15018]) ).
thf(f52010,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_282 ),
inference(constrained_superposition,[],[f15918,f37]) ).
thf(f52020,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f52010]) ).
thf(f52022,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_234
| ~ spl0_282 ),
inference(forward_subsumption_resolution,[],[f52020,f14879]) ).
thf(f52023,plain,
( ~ spl0_5
| spl0_234
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f52022,f15917,f14878,f104]) ).
thf(f52024,plain,
( spl0_267
| ~ spl0_5
| ~ spl0_545 ),
inference(avatar_split_clause,[],[f51917,f50181,f104,f15352]) ).
thf(f52027,plain,
( ~ spl0_9
| spl0_85
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f51839,f1338,f1471,f168]) ).
thf(f52029,plain,
( ~ spl0_1
| spl0_62
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f51844,f1338,f1040,f73]) ).
thf(f52030,plain,
( spl0_157
| spl0_234
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f51734,f15950,f14878,f12380]) ).
thf(f52042,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_12
| ~ spl0_38 ),
inference(constrained_superposition,[],[f1059,f439]) ).
thf(f52043,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_38
| ~ spl0_67 ),
inference(constrained_superposition,[],[f1122,f439]) ).
thf(f52047,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_38
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f52043]) ).
thf(f52048,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_12
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f52042]) ).
thf(f52077,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_65
| ~ spl0_146 ),
inference(constrained_superposition,[],[f10566,f1085]) ).
thf(f52083,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_65
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f52077]) ).
thf(f52119,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f535,f56]) ).
thf(f52128,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f52119]) ).
thf(f52136,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_98
| ~ spl0_259 ),
inference(constrained_superposition,[],[f49108,f15321]) ).
thf(f52139,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_98
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f52136]) ).
thf(f52140,plain,
( spl0_405
| ~ spl0_98
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f52139,f15320,f3579,f24911]) ).
thf(f52155,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f153,f27317]) ).
thf(f52159,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f44,f27317]) ).
thf(f52160,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_29
| ~ spl0_414 ),
inference(constrained_superposition,[],[f341,f27317]) ).
thf(f52166,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f52160]) ).
thf(f52169,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f52159]) ).
thf(f52170,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f52155]) ).
thf(f52179,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_29
| spl0_60
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f52166,f14917]) ).
thf(f52180,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| spl0_267
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f52169,f31238]) ).
thf(f52183,plain,
( spl0_470
| ~ spl0_29
| spl0_60
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f52179,f27316,f1022,f340,f33949]) ).
thf(f52184,plain,
( spl0_508
| spl0_267
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f52180,f27316,f15352,f41495]) ).
thf(f52223,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_453 ),
inference(constrained_superposition,[],[f31501,f56]) ).
thf(f52235,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_453 ),
inference(trivial_inequality_removal,[],[f52223]) ).
thf(f52290,plain,
( ~ spl0_14
| spl0_464
| ~ spl0_65
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f52083,f10565,f1084,f32383,f211]) ).
thf(f52292,plain,
( spl0_45
| ~ spl0_28
| ~ spl0_12
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f52048,f438,f191,f337,f549]) ).
thf(f52293,plain,
( spl0_14
| ~ spl0_1
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f52128,f534,f73,f211]) ).
thf(f52294,plain,
( ~ spl0_28
| ~ spl0_38
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f52047,f1121,f438,f337]) ).
thf(f52300,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f29,f338]) ).
thf(f52301,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f52300]) ).
thf(f52344,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_489 ),
inference(constrained_superposition,[],[f38409,f135]) ).
thf(f52351,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_489 ),
inference(trivial_inequality_removal,[],[f52344]) ).
thf(f52360,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_489 ),
inference(forward_subsumption_resolution,[],[f52351,f27319]) ).
thf(f52363,plain,
( $false
| ~ spl0_18
| spl0_85
| ~ spl0_489 ),
inference(forward_subsumption_resolution,[],[f52360,f1977]) ).
thf(f52364,plain,
( ~ spl0_18
| spl0_85
| ~ spl0_489 ),
inference(avatar_contradiction_clause,[],[f52363]) ).
thf(f52405,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_414
| ~ spl0_469 ),
inference(constrained_superposition,[],[f33909,f27317]) ).
thf(f52411,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_414
| ~ spl0_469 ),
inference(trivial_inequality_removal,[],[f52405]) ).
thf(f52417,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_285
| ~ spl0_414
| ~ spl0_469 ),
inference(forward_subsumption_resolution,[],[f52411,f27329]) ).
thf(f52418,plain,
( ~ spl0_260
| ~ spl0_285
| ~ spl0_414
| ~ spl0_469 ),
inference(avatar_split_clause,[],[f52417,f33908,f27316,f15950,f15324]) ).
thf(f52461,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_28
| ~ spl0_98 ),
inference(constrained_superposition,[],[f52301,f3580]) ).
thf(f52464,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_28
| ~ spl0_62 ),
inference(constrained_superposition,[],[f52301,f1041]) ).
thf(f52471,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_28
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f52464]) ).
thf(f52472,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_28
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f52461]) ).
thf(f52473,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_28
| ~ spl0_62
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f52471,f1050]) ).
thf(f52474,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_28
| ~ spl0_98
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f52472,f15043]) ).
thf(f52475,plain,
( spl0_391
| ~ spl0_28
| ~ spl0_62
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f52473,f1049,f1040,f337,f21182]) ).
thf(f52476,plain,
( spl0_225
| ~ spl0_28
| ~ spl0_98
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f52474,f14878,f3579,f337,f14828]) ).
thf(f52496,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_60
| ~ spl0_462 ),
inference(constrained_superposition,[],[f32372,f1023]) ).
thf(f52500,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_60
| ~ spl0_462 ),
inference(trivial_inequality_removal,[],[f52496]) ).
thf(f52598,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_238
| ~ spl0_293 ),
inference(constrained_superposition,[],[f14920,f16305]) ).
thf(f52599,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_293
| ~ spl0_462 ),
inference(constrained_superposition,[],[f32372,f16305]) ).
thf(f52601,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_293
| ~ spl0_462 ),
inference(trivial_inequality_removal,[],[f52599]) ).
thf(f52603,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_238
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f52598]) ).
thf(f52606,plain,
( $false
| ~ spl0_227
| ~ spl0_293
| ~ spl0_462 ),
inference(forward_subsumption_resolution,[],[f52601,f14836]) ).
thf(f52607,plain,
( ~ spl0_227
| ~ spl0_293
| ~ spl0_462 ),
inference(avatar_contradiction_clause,[],[f52606]) ).
thf(f52612,plain,
( $false
| ~ spl0_50
| spl0_311 ),
inference(forward_subsumption_resolution,[],[f19340,f602]) ).
thf(f52613,plain,
( ~ spl0_50
| spl0_311 ),
inference(avatar_contradiction_clause,[],[f52612]) ).
thf(f52687,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f122,f14675]) ).
thf(f52689,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f49,f14675]) ).
thf(f52690,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f44,f14675]) ).
thf(f52697,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f52689]) ).
thf(f52707,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f52687]) ).
thf(f52709,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f52690]) ).
thf(f52712,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_219
| ~ spl0_238
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f52707,f52603]) ).
thf(f52714,plain,
( spl0_289
| ~ spl0_219
| ~ spl0_238
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f52712,f16304,f14919,f14674,f16285]) ).
thf(f52717,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_216
| ~ spl0_446 ),
inference(constrained_superposition,[],[f30695,f14664]) ).
thf(f52730,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_216
| ~ spl0_446 ),
inference(trivial_inequality_removal,[],[f52717]) ).
thf(f52735,plain,
( ~ spl0_283
| ~ spl0_216
| ~ spl0_446 ),
inference(avatar_split_clause,[],[f52730,f30694,f14663,f15934]) ).
thf(f52769,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_210
| ~ spl0_495 ),
inference(constrained_superposition,[],[f39786,f14627]) ).
thf(f52771,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f284,f14627]) ).
thf(f52782,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_210
| ~ spl0_495 ),
inference(trivial_inequality_removal,[],[f52769]) ).
thf(f52786,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f52771]) ).
thf(f52796,definition,
( spl0_552
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_552])],[avatar_definition]) ).
thf(f52797,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| spl0_552 ),
inference(avatar_component_clause,[],[f52796]) ).
thf(f52798,plain,
( ~ spl0_338
| ~ spl0_552
| ~ spl0_210
| ~ spl0_495 ),
inference(avatar_split_clause,[],[f52782,f39785,f14626,f52796,f17868]) ).
thf(f52801,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_552 ),
inference(constrained_superposition,[],[f52797,f37]) ).
thf(f52804,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_552 ),
inference(trivial_inequality_removal,[],[f52801]) ).
thf(f52829,plain,
( spl0_291
| spl0_232
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f52709,f14674,f14869,f16297]) ).
thf(f52832,plain,
( spl0_62
| ~ spl0_8
| ~ spl0_453 ),
inference(avatar_split_clause,[],[f52235,f31500,f164,f1040]) ).
thf(f52833,plain,
( spl0_280
| ~ spl0_260
| spl0_236
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f52697,f14674,f14889,f15324,f15906]) ).
thf(f52850,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_8 ),
inference(constrained_superposition,[],[f165,f31]) ).
thf(f52853,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f52850]) ).
thf(f52855,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_8
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f52853,f33163]) ).
thf(f52856,plain,
( spl0_12
| spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f52855,f194,f164,f191]) ).
thf(f52989,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_452 ),
inference(constrained_superposition,[],[f31235,f38]) ).
thf(f52992,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_452 ),
inference(trivial_inequality_removal,[],[f52989]) ).
thf(f53000,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_284
| ~ spl0_451 ),
inference(constrained_superposition,[],[f31223,f27313]) ).
thf(f53010,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_284
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f53000]) ).
thf(f53011,plain,
( $false
| ~ spl0_284
| ~ spl0_285
| ~ spl0_451 ),
inference(forward_subsumption_resolution,[],[f53010,f27329]) ).
thf(f53012,plain,
( ~ spl0_284
| ~ spl0_285
| ~ spl0_451 ),
inference(avatar_contradiction_clause,[],[f53011]) ).
thf(f53059,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_362 ),
inference(constrained_superposition,[],[f18569,f795]) ).
thf(f53070,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_362 ),
inference(trivial_inequality_removal,[],[f53059]) ).
thf(f53075,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_341
| ~ spl0_362 ),
inference(forward_subsumption_resolution,[],[f53070,f31922]) ).
thf(f53076,plain,
( ~ spl0_51
| spl0_341
| ~ spl0_362 ),
inference(avatar_split_clause,[],[f53075,f18568,f17879,f949]) ).
thf(f53078,plain,
( spl0_253
| spl0_314
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f52786,f14626,f17283,f15297]) ).
thf(f53081,plain,
( ~ spl0_14
| ~ spl0_60
| ~ spl0_462 ),
inference(avatar_split_clause,[],[f52500,f32371,f1022,f211]) ).
thf(f53088,plain,
( spl0_240
| ~ spl0_56
| spl0_55
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f52170,f27316,f962,f965,f14945]) ).
thf(f53101,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f29,f212]) ).
thf(f53102,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f53101]) ).
thf(f53143,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f44,f27329]) ).
thf(f53158,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f53143]) ).
thf(f53226,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| spl0_60
| ~ spl0_452 ),
inference(constrained_superposition,[],[f14917,f52992]) ).
thf(f53237,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_60
| ~ spl0_452 ),
inference(trivial_inequality_removal,[],[f53226]) ).
thf(f53238,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_60
| spl0_64
| ~ spl0_452 ),
inference(forward_subsumption_resolution,[],[f53237,f21132]) ).
thf(f53239,plain,
( $false
| spl0_60
| spl0_64
| ~ spl0_452 ),
inference(forward_subsumption_resolution,[],[f53238,f27]) ).
thf(f53240,plain,
( spl0_60
| spl0_64
| ~ spl0_452 ),
inference(avatar_contradiction_clause,[],[f53239]) ).
thf(f53303,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_519 ),
inference(constrained_superposition,[],[f45722,f135]) ).
thf(f53313,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_519 ),
inference(trivial_inequality_removal,[],[f53303]) ).
thf(f53395,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_517 ),
inference(constrained_superposition,[],[f44438,f135]) ).
thf(f53399,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_517 ),
inference(constrained_superposition,[],[f44438,f37]) ).
thf(f53405,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_517 ),
inference(trivial_inequality_removal,[],[f53395]) ).
thf(f53409,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_517 ),
inference(trivial_inequality_removal,[],[f53399]) ).
thf(f53411,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_6
| ~ spl0_56 ),
inference(constrained_superposition,[],[f159,f27369]) ).
thf(f53412,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_6
| ~ spl0_355 ),
inference(constrained_superposition,[],[f159,f27383]) ).
thf(f53421,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_6
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f53412]) ).
thf(f53424,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_6
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f53411]) ).
thf(f53427,plain,
( spl0_282
| ~ spl0_6
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f53421,f18281,f158,f15917]) ).
thf(f53428,plain,
( spl0_182
| ~ spl0_6
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f53424,f965,f158,f13321]) ).
thf(f53458,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_240
| ~ spl0_511 ),
inference(constrained_superposition,[],[f44399,f14946]) ).
thf(f53462,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_240
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f53458]) ).
thf(f53463,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_234
| ~ spl0_240
| ~ spl0_511 ),
inference(forward_subsumption_resolution,[],[f53462,f15043]) ).
thf(f53464,plain,
( $false
| ~ spl0_98
| ~ spl0_234
| ~ spl0_240
| ~ spl0_511 ),
inference(forward_subsumption_resolution,[],[f53463,f3580]) ).
thf(f53465,plain,
( ~ spl0_98
| ~ spl0_234
| ~ spl0_240
| ~ spl0_511 ),
inference(avatar_contradiction_clause,[],[f53464]) ).
thf(f53594,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_215
| ~ spl0_302 ),
inference(constrained_superposition,[],[f16979,f14661]) ).
thf(f53595,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_215
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f53594]) ).
thf(f53631,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_242
| ~ spl0_515 ),
inference(constrained_superposition,[],[f44425,f15019]) ).
thf(f53633,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_242
| ~ spl0_515 ),
inference(trivial_inequality_removal,[],[f53631]) ).
thf(f53636,plain,
( $false
| ~ spl0_60
| ~ spl0_242
| ~ spl0_515 ),
inference(forward_subsumption_resolution,[],[f53633,f1023]) ).
thf(f53637,plain,
( ~ spl0_60
| ~ spl0_242
| ~ spl0_515 ),
inference(avatar_contradiction_clause,[],[f53636]) ).
thf(f53667,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_60
| ~ spl0_63 ),
inference(constrained_superposition,[],[f1047,f1023]) ).
thf(f53670,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_60
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f53667]) ).
thf(f53714,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_253
| ~ spl0_477 ),
inference(constrained_superposition,[],[f35296,f15298]) ).
thf(f53717,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_253
| ~ spl0_477 ),
inference(trivial_inequality_removal,[],[f53714]) ).
thf(f53718,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_14
| ~ spl0_253
| ~ spl0_477 ),
inference(forward_subsumption_resolution,[],[f53717,f212]) ).
thf(f53719,plain,
( $false
| ~ spl0_14
| ~ spl0_16
| ~ spl0_253
| ~ spl0_477 ),
inference(forward_subsumption_resolution,[],[f53718,f219]) ).
thf(f53720,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_253
| ~ spl0_477 ),
inference(avatar_contradiction_clause,[],[f53719]) ).
thf(f53722,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_12 ),
inference(avatar_component_clause,[],[f191]) ).
thf(f53723,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_60
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f53670,f1046,f1022,f310,f191]) ).
thf(f53726,plain,
( ~ spl0_240
| ~ spl0_215
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f53595,f16978,f14660,f14945]) ).
thf(f53842,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_280 ),
inference(constrained_superposition,[],[f15907,f135]) ).
thf(f53844,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_280 ),
inference(constrained_superposition,[],[f15907,f56]) ).
thf(f53851,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_280 ),
inference(trivial_inequality_removal,[],[f53844]) ).
thf(f53853,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_280 ),
inference(trivial_inequality_removal,[],[f53842]) ).
thf(f53897,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_547 ),
inference(constrained_superposition,[],[f51124,f796]) ).
thf(f53903,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_547 ),
inference(trivial_inequality_removal,[],[f53897]) ).
thf(f53964,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_546 ),
inference(constrained_superposition,[],[f50512,f796]) ).
thf(f53968,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_546 ),
inference(trivial_inequality_removal,[],[f53964]) ).
thf(f54016,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_522 ),
inference(constrained_superposition,[],[f46906,f795]) ).
thf(f54031,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_522 ),
inference(trivial_inequality_removal,[],[f54016]) ).
thf(f54035,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_224
| ~ spl0_522 ),
inference(forward_subsumption_resolution,[],[f54031,f14799]) ).
thf(f54037,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_56
| spl0_224
| ~ spl0_522 ),
inference(forward_subsumption_resolution,[],[f54035,f27369]) ).
thf(f54039,plain,
( ~ spl0_79
| ~ spl0_56
| spl0_224
| ~ spl0_522 ),
inference(avatar_split_clause,[],[f54037,f46905,f14798,f965,f1432]) ).
thf(f54058,plain,
( spl0_85
| ~ spl0_56
| ~ spl0_517 ),
inference(avatar_split_clause,[],[f53405,f44437,f965,f1471]) ).
thf(f54059,plain,
( ~ spl0_51
| spl0_64
| ~ spl0_517 ),
inference(avatar_split_clause,[],[f53409,f44437,f1049,f949]) ).
thf(f54061,plain,
( spl0_308
| spl0_552 ),
inference(avatar_split_clause,[],[f52804,f52796,f17193]) ).
thf(f54062,plain,
( ~ spl0_51
| spl0_319
| ~ spl0_57
| ~ spl0_546 ),
inference(avatar_split_clause,[],[f53968,f50511,f969,f17304,f949]) ).
thf(f54066,plain,
( ~ spl0_57
| ~ spl0_51
| spl0_268
| ~ spl0_547 ),
inference(avatar_split_clause,[],[f53903,f51123,f15358,f949,f969]) ).
thf(f54069,plain,
( spl0_85
| spl0_16
| ~ spl0_519 ),
inference(avatar_split_clause,[],[f53313,f45721,f218,f1471]) ).
thf(f54070,plain,
( spl0_240
| spl0_41
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f53853,f15906,f534,f14945]) ).
thf(f54073,plain,
( spl0_473
| spl0_28
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f53158,f15950,f337,f34995]) ).
thf(f54222,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_507 ),
inference(constrained_superposition,[],[f41491,f57]) ).
thf(f54228,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_507 ),
inference(trivial_inequality_removal,[],[f54222]) ).
thf(f54312,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f418,f37]) ).
thf(f54316,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f54312]) ).
thf(f54408,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_496 ),
inference(constrained_superposition,[],[f39809,f136]) ).
thf(f54413,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_496 ),
inference(trivial_inequality_removal,[],[f54408]) ).
thf(f54479,plain,
( ~ spl0_284
| spl0_253
| ~ spl0_496 ),
inference(avatar_split_clause,[],[f54413,f39808,f15297,f15947]) ).
thf(f54512,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_98
| ~ spl0_253 ),
inference(constrained_superposition,[],[f49108,f15298]) ).
thf(f54514,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_98
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f54512]) ).
thf(f54659,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_215
| ~ spl0_529 ),
inference(constrained_superposition,[],[f47297,f14661]) ).
thf(f54664,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_215
| ~ spl0_529 ),
inference(trivial_inequality_removal,[],[f54659]) ).
thf(f54694,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_98
| ~ spl0_253
| ~ spl0_259 ),
inference(constrained_superposition,[],[f54514,f15321]) ).
thf(f54699,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_98
| ~ spl0_253
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f54694]) ).
thf(f54700,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_85
| ~ spl0_98
| ~ spl0_253
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f54699,f1472]) ).
thf(f54701,plain,
( $false
| ~ spl0_62
| ~ spl0_85
| ~ spl0_98
| ~ spl0_253
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f54700,f1041]) ).
thf(f54702,plain,
( ~ spl0_62
| ~ spl0_85
| ~ spl0_98
| ~ spl0_253
| ~ spl0_259 ),
inference(avatar_contradiction_clause,[],[f54701]) ).
thf(f54703,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_215
| ~ spl0_234
| ~ spl0_529 ),
inference(forward_subsumption_resolution,[],[f54664,f15043]) ).
thf(f54704,plain,
( ~ spl0_240
| ~ spl0_215
| ~ spl0_234
| ~ spl0_529 ),
inference(avatar_split_clause,[],[f54703,f47296,f14878,f14660,f14945]) ).
thf(f54729,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_32
| ~ spl0_355 ),
inference(constrained_superposition,[],[f418,f27383]) ).
thf(f54733,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_73
| ~ spl0_355 ),
inference(constrained_superposition,[],[f1269,f27383]) ).
thf(f54753,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_32
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f54729]) ).
thf(f54756,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_73
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f54733]) ).
thf(f54879,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_520 ),
inference(constrained_superposition,[],[f46792,f135]) ).
thf(f54883,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_520 ),
inference(constrained_superposition,[],[f46792,f37]) ).
thf(f54888,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_520 ),
inference(trivial_inequality_removal,[],[f54879]) ).
thf(f54889,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_520 ),
inference(trivial_inequality_removal,[],[f54883]) ).
thf(f54911,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_14
| ~ spl0_85 ),
inference(constrained_superposition,[],[f53102,f1472]) ).
thf(f54912,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_337 ),
inference(constrained_superposition,[],[f53102,f17865]) ).
thf(f54914,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_38 ),
inference(constrained_superposition,[],[f53102,f439]) ).
thf(f54915,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f54912]) ).
thf(f54916,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f54914]) ).
thf(f54917,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_14
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f54911]) ).
thf(f54919,plain,
( spl0_325
| ~ spl0_14
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f54915,f17864,f211,f17397]) ).
thf(f54920,plain,
( spl0_511
| ~ spl0_14
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f54916,f438,f211,f44398]) ).
thf(f54921,plain,
( spl0_93
| ~ spl0_14
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f54917,f1471,f211,f2375]) ).
thf(f54922,plain,
( spl0_17
| spl0_98
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f53851,f15906,f3579,f221]) ).
thf(f54923,plain,
( ~ spl0_285
| ~ spl0_419
| ~ spl0_32
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f54753,f18281,f417,f27399,f15950]) ).
thf(f54928,plain,
( ~ spl0_1
| spl0_262
| ~ spl0_507 ),
inference(avatar_split_clause,[],[f54228,f41490,f15332,f73]) ).
thf(f54929,plain,
( ~ spl0_21
| spl0_12
| spl0_476
| spl0_13 ),
inference(avatar_split_clause,[],[f33235,f194,f35028,f191,f250]) ).
thf(f54932,plain,
( ~ spl0_419
| ~ spl0_260
| ~ spl0_73
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f54756,f18281,f1268,f15324,f27399]) ).
thf(f54971,plain,
( ( $true != $true )
| ~ spl0_37
| spl0_253 ),
inference(constrained_superposition,[],[f31914,f435]) ).
thf(f54975,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_405 ),
inference(constrained_superposition,[],[f24912,f435]) ).
thf(f54981,plain,
( $false
| ~ spl0_37
| spl0_253 ),
inference(trivial_inequality_removal,[],[f54971]) ).
thf(f54982,plain,
( ~ spl0_37
| spl0_253 ),
inference(avatar_contradiction_clause,[],[f54981]) ).
thf(f54985,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_37
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f54975]) ).
thf(f54988,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_37
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f54985,f212]) ).
thf(f54989,plain,
( $false
| ~ spl0_14
| ~ spl0_37
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f54988,f435]) ).
thf(f54990,plain,
( ~ spl0_14
| ~ spl0_37
| ~ spl0_405 ),
inference(avatar_contradiction_clause,[],[f54989]) ).
thf(f55020,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_27
| ~ spl0_262 ),
inference(constrained_superposition,[],[f318,f15333]) ).
thf(f55025,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_27
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f55020]) ).
thf(f55028,plain,
( $false
| ~ spl0_27
| ~ spl0_234
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f55025,f15043]) ).
thf(f55029,plain,
( ~ spl0_27
| ~ spl0_234
| ~ spl0_262 ),
inference(avatar_contradiction_clause,[],[f55028]) ).
thf(f55200,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f71,f27317]) ).
thf(f55226,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f55200]) ).
thf(f55232,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_98
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f55226,f15028]) ).
thf(f55234,plain,
( ~ spl0_57
| spl0_59
| spl0_98
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f55232,f27316,f3579,f975,f969]) ).
thf(f55314,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_234
| ~ spl0_540 ),
inference(constrained_superposition,[],[f48898,f15043]) ).
thf(f55318,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_234
| ~ spl0_540 ),
inference(trivial_inequality_removal,[],[f55314]) ).
thf(f55320,plain,
( $false
| ~ spl0_38
| ~ spl0_234
| ~ spl0_540 ),
inference(forward_subsumption_resolution,[],[f55318,f439]) ).
thf(f55321,plain,
( ~ spl0_38
| ~ spl0_234
| ~ spl0_540 ),
inference(avatar_contradiction_clause,[],[f55320]) ).
thf(f55324,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_236
| ~ spl0_474 ),
inference(constrained_superposition,[],[f35000,f14890]) ).
thf(f55327,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_236
| ~ spl0_474 ),
inference(trivial_inequality_removal,[],[f55324]) ).
thf(f55375,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_253
| ~ spl0_405 ),
inference(constrained_superposition,[],[f24912,f15298]) ).
thf(f55377,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f29,f15298]) ).
thf(f55378,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_253
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f55375]) ).
thf(f55379,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f55377]) ).
thf(f55384,plain,
( ~ spl0_8
| spl0_240
| ~ spl0_56
| ~ spl0_520 ),
inference(avatar_split_clause,[],[f54888,f46791,f965,f14945,f164]) ).
thf(f55437,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f49,f27369]) ).
thf(f55450,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f55437]) ).
thf(f55455,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| spl0_16
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f55450,f599]) ).
thf(f55457,plain,
( spl0_53
| ~ spl0_51
| spl0_16
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f55455,f965,f218,f949,f955]) ).
thf(f55588,plain,
( ~ spl0_65
| ~ spl0_14
| ~ spl0_253
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f55378,f24911,f15297,f211,f1084]) ).
thf(f55589,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_234
| ~ spl0_520 ),
inference(forward_subsumption_resolution,[],[f54889,f14879]) ).
thf(f55592,plain,
( ~ spl0_28
| ~ spl0_236
| ~ spl0_474 ),
inference(avatar_split_clause,[],[f55327,f34999,f14889,f337]) ).
thf(f55593,plain,
( ~ spl0_5
| ~ spl0_51
| spl0_234
| ~ spl0_520 ),
inference(avatar_split_clause,[],[f55589,f46791,f14878,f949,f104]) ).
thf(f55675,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_396
| ~ spl0_419 ),
inference(constrained_superposition,[],[f21203,f27400]) ).
thf(f55677,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_396
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f55675]) ).
thf(f55683,plain,
( ~ spl0_260
| ~ spl0_396
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f55677,f27399,f21202,f15324]) ).
thf(f55686,definition,
( spl0_554
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_554])],[avatar_definition]) ).
thf(f55687,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_554 ),
inference(avatar_component_clause,[],[f55686]) ).
thf(f55692,plain,
( spl0_16
| ~ spl0_5
| ~ spl0_1
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f54316,f417,f73,f104,f218]) ).
thf(f55696,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f29,f219]) ).
thf(f55697,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f55696]) ).
thf(f55718,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true ) )
| ~ spl0_232 ),
inference(constrained_superposition,[],[f29,f14870]) ).
thf(f55719,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f55718]) ).
thf(f55725,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f122,f27369]) ).
thf(f55741,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f55725]) ).
thf(f55746,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_419 ),
inference(constrained_superposition,[],[f32485,f56]) ).
thf(f55751,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_419 ),
inference(trivial_inequality_removal,[],[f55746]) ).
thf(f55920,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f947,f14664]) ).
thf(f55924,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f71,f14664]) ).
thf(f55935,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f55920]) ).
thf(f55942,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f55924]) ).
thf(f55946,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_216
| spl0_224 ),
inference(forward_subsumption_resolution,[],[f55935,f14799]) ).
thf(f55954,plain,
( ~ spl0_273
| spl0_272
| ~ spl0_216
| spl0_224 ),
inference(avatar_split_clause,[],[f55946,f14798,f14663,f15376,f15379]) ).
thf(f55979,plain,
( ~ spl0_255
| spl0_256
| spl0_98
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f55942,f14663,f3579,f15309,f15306]) ).
thf(f55982,plain,
( spl0_12
| spl0_278
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f55741,f965,f15887,f191]) ).
thf(f55987,plain,
( spl0_98
| spl0_419 ),
inference(avatar_split_clause,[],[f55751,f27399,f3579]) ).
thf(f56018,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_413 ),
inference(constrained_superposition,[],[f27300,f57]) ).
thf(f56024,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f56018]) ).
thf(f56081,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_413 ),
inference(constrained_superposition,[],[f56024,f27319]) ).
thf(f56084,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f56081]) ).
thf(f56090,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_56 ),
inference(constrained_superposition,[],[f244,f27369]) ).
thf(f56102,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f56090]) ).
thf(f56105,plain,
( spl0_514
| ~ spl0_19
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f56102,f965,f243,f44413]) ).
thf(f56153,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_459 ),
inference(constrained_superposition,[],[f32330,f27364]) ).
thf(f56170,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_292
| ~ spl0_459 ),
inference(trivial_inequality_removal,[],[f56153]) ).
thf(f56173,plain,
( ~ spl0_441
| ~ spl0_260
| ~ spl0_292
| ~ spl0_459 ),
inference(avatar_split_clause,[],[f56170,f32329,f16301,f15324,f28097]) ).
thf(f56210,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_470 ),
inference(constrained_superposition,[],[f33950,f796]) ).
thf(f56211,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_470 ),
inference(constrained_superposition,[],[f33950,f136]) ).
thf(f56215,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_470 ),
inference(trivial_inequality_removal,[],[f56211]) ).
thf(f56220,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_470 ),
inference(trivial_inequality_removal,[],[f56210]) ).
thf(f56289,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_501 ),
inference(constrained_superposition,[],[f40036,f135]) ).
thf(f56302,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_501 ),
inference(trivial_inequality_removal,[],[f56289]) ).
thf(f56356,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_232
| ~ spl0_268 ),
inference(constrained_superposition,[],[f55719,f15359]) ).
thf(f56357,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_217
| ~ spl0_232 ),
inference(constrained_superposition,[],[f55719,f14668]) ).
thf(f56360,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_217
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f56357]) ).
thf(f56361,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_232
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f56356]) ).
thf(f56364,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_217
| ~ spl0_232
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f56360,f17194]) ).
thf(f56365,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_64
| ~ spl0_232
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f56361,f1050]) ).
thf(f56366,plain,
( spl0_347
| ~ spl0_217
| ~ spl0_232
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f56364,f17193,f14869,f14667,f18054]) ).
thf(f56367,plain,
( spl0_391
| ~ spl0_64
| ~ spl0_232
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f56365,f15358,f14869,f1049,f21182]) ).
thf(f56425,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f44,f14637]) ).
thf(f56444,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f56425]) ).
thf(f56449,plain,
( spl0_340
| spl0_352
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f56444,f14636,f18191,f17875]) ).
thf(f56593,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_278 ),
inference(constrained_superposition,[],[f15888,f36]) ).
thf(f56601,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_278 ),
inference(constrained_superposition,[],[f15888,f57]) ).
thf(f56602,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f56593]) ).
thf(f56611,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f56601]) ).
thf(f56665,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_84
| ~ spl0_478 ),
inference(constrained_superposition,[],[f35796,f27386]) ).
thf(f56666,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_478 ),
inference(constrained_superposition,[],[f35796,f135]) ).
thf(f56679,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_478 ),
inference(trivial_inequality_removal,[],[f56666]) ).
thf(f56680,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84
| ~ spl0_478 ),
inference(trivial_inequality_removal,[],[f56665]) ).
thf(f56693,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_221
| ~ spl0_345 ),
inference(constrained_superposition,[],[f17899,f14682]) ).
thf(f56705,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_221
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f56693]) ).
thf(f56706,plain,
( ~ spl0_255
| ~ spl0_273
| ~ spl0_221
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f56705,f17898,f14681,f15379,f15306]) ).
thf(f56718,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f15962,f36]) ).
thf(f56722,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_213
| ~ spl0_286 ),
inference(constrained_superposition,[],[f15962,f14637]) ).
thf(f56729,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_213
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f56722]) ).
thf(f56733,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f56718]) ).
thf(f56735,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_267
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f56733,f31238]) ).
thf(f56736,plain,
( spl0_34
| spl0_267
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f56735,f15961,f15352,f424]) ).
thf(f56758,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_213
| ~ spl0_221
| ~ spl0_286 ),
inference(constrained_superposition,[],[f56729,f14682]) ).
thf(f56765,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_213
| ~ spl0_221
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f56758]) ).
thf(f56771,plain,
( ~ spl0_255
| ~ spl0_304
| ~ spl0_213
| ~ spl0_221
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f56765,f15961,f14681,f14636,f17077,f15306]) ).
thf(f56809,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_508 ),
inference(constrained_superposition,[],[f41496,f795]) ).
thf(f56810,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_508 ),
inference(constrained_superposition,[],[f41496,f135]) ).
thf(f56821,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_508 ),
inference(trivial_inequality_removal,[],[f56809]) ).
thf(f56824,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_508 ),
inference(trivial_inequality_removal,[],[f56810]) ).
thf(f56860,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_94
| ~ spl0_236 ),
inference(constrained_superposition,[],[f2461,f14890]) ).
thf(f56861,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_94
| ~ spl0_308 ),
inference(constrained_superposition,[],[f2461,f17194]) ).
thf(f56863,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_94
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f56861]) ).
thf(f56868,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_94
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f56860]) ).
thf(f56869,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_38
| ~ spl0_94
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f56863,f439]) ).
thf(f56871,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_94
| ~ spl0_236
| spl0_242 ),
inference(forward_subsumption_resolution,[],[f56868,f15044]) ).
thf(f56872,plain,
( $false
| ~ spl0_38
| ~ spl0_94
| ~ spl0_308
| spl0_311 ),
inference(forward_subsumption_resolution,[],[f56869,f19340]) ).
thf(f56873,plain,
( ~ spl0_38
| ~ spl0_94
| ~ spl0_308
| spl0_311 ),
inference(avatar_contradiction_clause,[],[f56872]) ).
thf(f56876,plain,
( $false
| ~ spl0_38
| ~ spl0_94
| ~ spl0_236
| spl0_242 ),
inference(forward_subsumption_resolution,[],[f56871,f439]) ).
thf(f56877,plain,
( ~ spl0_38
| ~ spl0_94
| ~ spl0_236
| spl0_242 ),
inference(avatar_contradiction_clause,[],[f56876]) ).
thf(f56903,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_253
| ~ spl0_262 ),
inference(constrained_superposition,[],[f55379,f15333]) ).
thf(f56907,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_253
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f56903]) ).
thf(f56910,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_12
| ~ spl0_253
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f56907,f192]) ).
thf(f56914,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_240
| ~ spl0_253
| ~ spl0_262 ),
inference(constrained_superposition,[],[f56910,f14946]) ).
thf(f56919,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_240
| ~ spl0_253
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f56914]) ).
thf(f56922,plain,
( $false
| ~ spl0_12
| ~ spl0_240
| ~ spl0_253
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f56919,f15333]) ).
thf(f56923,plain,
( ~ spl0_12
| ~ spl0_240
| ~ spl0_253
| ~ spl0_262 ),
inference(avatar_contradiction_clause,[],[f56922]) ).
thf(f56924,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_85
| ~ spl0_478 ),
inference(forward_subsumption_resolution,[],[f56679,f1977]) ).
thf(f56925,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_264 ),
inference(avatar_component_clause,[],[f15339]) ).
thf(f56930,plain,
( spl0_12
| ~ spl0_18
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f56084,f27299,f240,f191]) ).
thf(f56934,definition,
( spl0_556
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_556])],[avatar_definition]) ).
thf(f56935,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_556 ),
inference(avatar_component_clause,[],[f56934]) ).
thf(f56939,definition,
( spl0_557
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_557])],[avatar_definition]) ).
thf(f56940,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_557 ),
inference(avatar_component_clause,[],[f56939]) ).
thf(f56942,plain,
( spl0_556
| ~ spl0_12
| ~ spl0_253
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f56907,f15332,f15297,f191,f56934]) ).
thf(f56944,plain,
( spl0_399
| ~ spl0_8
| ~ spl0_84
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f56680,f35795,f1449,f164,f21218]) ).
thf(f56948,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_224
| ~ spl0_508 ),
inference(forward_subsumption_resolution,[],[f56821,f14799]) ).
thf(f56949,plain,
( spl0_399
| ~ spl0_8
| spl0_85
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f56924,f35795,f1471,f164,f21218]) ).
thf(f56954,plain,
( ~ spl0_51
| spl0_517
| spl0_224
| ~ spl0_508 ),
inference(avatar_split_clause,[],[f56948,f41495,f14798,f44437,f949]) ).
thf(f56956,definition,
( spl0_558
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_558])],[avatar_definition]) ).
thf(f56957,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_558 ),
inference(avatar_component_clause,[],[f56956]) ).
thf(f56958,plain,
( ~ spl0_9
| spl0_558
| spl0_240
| ~ spl0_508 ),
inference(avatar_split_clause,[],[f56824,f41495,f14945,f56956,f168]) ).
thf(f56959,plain,
( ~ spl0_56
| ~ spl0_9
| spl0_240
| ~ spl0_501 ),
inference(avatar_split_clause,[],[f56302,f40035,f14945,f168,f965]) ).
thf(f56966,plain,
( spl0_224
| ~ spl0_51
| spl0_517
| ~ spl0_508 ),
inference(avatar_split_clause,[],[f56821,f41495,f44437,f949,f14798]) ).
thf(f56973,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f29,f311]) ).
thf(f56974,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f56973]) ).
thf(f57013,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_232
| ~ spl0_237 ),
inference(constrained_superposition,[],[f14903,f14870]) ).
thf(f57015,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_232 ),
inference(constrained_superposition,[],[f29,f14870]) ).
thf(f57016,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_232
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f57013]) ).
thf(f57018,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f57015]) ).
thf(f57019,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_232
| ~ spl0_237
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f57016,f15353]) ).
thf(f57020,plain,
( $false
| ~ spl0_28
| ~ spl0_232
| ~ spl0_237
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f57019,f338]) ).
thf(f57021,plain,
( ~ spl0_28
| ~ spl0_232
| ~ spl0_237
| ~ spl0_267 ),
inference(avatar_contradiction_clause,[],[f57020]) ).
thf(f57044,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32
| ~ spl0_56 ),
inference(constrained_superposition,[],[f418,f27369]) ).
thf(f57045,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_34
| ~ spl0_56 ),
inference(constrained_superposition,[],[f425,f27369]) ).
thf(f57046,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_56
| ~ spl0_476 ),
inference(constrained_superposition,[],[f35029,f27369]) ).
thf(f57048,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_56
| ~ spl0_554 ),
inference(constrained_superposition,[],[f55687,f27369]) ).
thf(f57052,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f44,f27369]) ).
thf(f57053,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56
| ~ spl0_278 ),
inference(constrained_superposition,[],[f15888,f27369]) ).
thf(f57054,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ X1 @ X0 ) ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f866,f27369]) ).
thf(f57060,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_32
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f57044]) ).
thf(f57062,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f57052]) ).
thf(f57063,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( r @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f57054]) ).
thf(f57064,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_56
| ~ spl0_476 ),
inference(trivial_inequality_removal,[],[f57046]) ).
thf(f57065,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f57045]) ).
thf(f57069,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f57053]) ).
thf(f57072,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_56
| ~ spl0_554 ),
inference(trivial_inequality_removal,[],[f57048]) ).
thf(f57075,plain,
( spl0_36
| ~ spl0_56
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f57069,f15887,f965,f431]) ).
thf(f57078,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_70
| ~ spl0_335 ),
inference(constrained_superposition,[],[f1178,f17855]) ).
thf(f57080,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_70
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f57078]) ).
thf(f57083,plain,
( ~ spl0_308
| ~ spl0_70
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f57080,f17854,f1177,f17193]) ).
thf(f57152,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_227
| ~ spl0_535 ),
inference(constrained_superposition,[],[f47717,f14836]) ).
thf(f57155,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_227
| ~ spl0_535 ),
inference(trivial_inequality_removal,[],[f57152]) ).
thf(f57272,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_558 ),
inference(constrained_superposition,[],[f56957,f57]) ).
thf(f57278,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_558 ),
inference(trivial_inequality_removal,[],[f57272]) ).
thf(f57470,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_93
| ~ spl0_224 ),
inference(constrained_superposition,[],[f2376,f18786]) ).
thf(f57474,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_93
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f57470]) ).
thf(f57477,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_56
| ~ spl0_179 ),
inference(constrained_superposition,[],[f13304,f27369]) ).
thf(f57479,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_179 ),
inference(constrained_superposition,[],[f13304,f56]) ).
thf(f57488,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f57479]) ).
thf(f57490,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_56
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f57477]) ).
thf(f57494,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f8999,f135]) ).
thf(f57509,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f57494]) ).
thf(f57536,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16
| ~ spl0_244 ),
inference(constrained_superposition,[],[f55697,f15027]) ).
thf(f57538,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f57536]) ).
thf(f57571,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_227
| ~ spl0_232 ),
inference(constrained_superposition,[],[f57018,f14836]) ).
thf(f57576,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_227
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f57571]) ).
thf(f57587,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_494 ),
inference(constrained_superposition,[],[f39086,f57]) ).
thf(f57589,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_494 ),
inference(trivial_inequality_removal,[],[f57587]) ).
thf(f57614,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_532 ),
inference(constrained_superposition,[],[f47702,f135]) ).
thf(f57624,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_532 ),
inference(trivial_inequality_removal,[],[f57614]) ).
thf(f57641,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_284
| ~ spl0_471 ),
inference(constrained_superposition,[],[f34969,f27313]) ).
thf(f57642,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_471 ),
inference(constrained_superposition,[],[f34969,f135]) ).
thf(f57651,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_284
| ~ spl0_471 ),
inference(trivial_inequality_removal,[],[f57641]) ).
thf(f57653,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_471 ),
inference(trivial_inequality_removal,[],[f57642]) ).
thf(f57658,plain,
( ~ spl0_8
| spl0_399
| ~ spl0_284
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f57651,f34968,f15947,f21218,f164]) ).
thf(f57659,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_240
| ~ spl0_471 ),
inference(forward_subsumption_resolution,[],[f57653,f14950]) ).
thf(f57660,plain,
( spl0_399
| ~ spl0_8
| spl0_240
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f57659,f34968,f14945,f164,f21218]) ).
thf(f57661,plain,
( ~ spl0_18
| spl0_60
| ~ spl0_558 ),
inference(avatar_split_clause,[],[f57278,f56956,f1022,f240]) ).
thf(f57663,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_16
| ~ spl0_227
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f57576,f219]) ).
thf(f57664,plain,
( spl0_519
| ~ spl0_57
| ~ spl0_56
| ~ spl0_476 ),
inference(avatar_split_clause,[],[f57064,f35028,f965,f969,f45721]) ).
thf(f57666,plain,
( spl0_60
| spl0_73
| ~ spl0_494 ),
inference(avatar_split_clause,[],[f57589,f39085,f1268,f1022]) ).
thf(f57668,plain,
( spl0_489
| ~ spl0_57
| ~ spl0_56
| ~ spl0_554 ),
inference(avatar_split_clause,[],[f57072,f55686,f965,f969,f38408]) ).
thf(f57671,plain,
( spl0_14
| spl0_413
| ~ spl0_1
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f57488,f13303,f73,f27299,f211]) ).
thf(f57673,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_16
| ~ spl0_227
| ~ spl0_535 ),
inference(forward_subsumption_resolution,[],[f57155,f219]) ).
thf(f57675,plain,
( ~ spl0_79
| ~ spl0_57
| ~ spl0_32
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f57060,f965,f417,f969,f1432]) ).
thf(f57677,plain,
( spl0_489
| ~ spl0_51
| ~ spl0_56
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f57490,f13303,f965,f949,f38408]) ).
thf(f57679,plain,
( ~ spl0_98
| ~ spl0_240
| ~ spl0_93
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f57474,f14798,f2375,f14945,f3579]) ).
thf(f57684,plain,
( spl0_70
| ~ spl0_16
| ~ spl0_227
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f57663,f14869,f14835,f218,f1177]) ).
thf(f57686,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_227
| ~ spl0_535 ),
inference(avatar_split_clause,[],[f57673,f47716,f14835,f218,f211]) ).
thf(f57689,plain,
( spl0_529
| ~ spl0_16
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f57538,f15026,f218,f47296]) ).
thf(f57690,plain,
( spl0_32
| spl0_60
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f56611,f15887,f1022,f417]) ).
thf(f57691,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_56
| ~ spl0_532 ),
inference(forward_subsumption_resolution,[],[f57624,f27369]) ).
thf(f57692,plain,
( spl0_64
| spl0_155
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f57063,f965,f12372,f1049]) ).
thf(f57693,plain,
( ~ spl0_81
| ~ spl0_57
| ~ spl0_34
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f57065,f965,f424,f969,f1439]) ).
thf(f57694,plain,
( ~ spl0_9
| ~ spl0_8
| spl0_253
| ~ spl0_470 ),
inference(avatar_split_clause,[],[f56215,f33949,f15297,f164,f168]) ).
thf(f57695,plain,
( spl0_259
| ~ spl0_51
| ~ spl0_57
| ~ spl0_470 ),
inference(avatar_split_clause,[],[f56220,f33949,f969,f949,f15320]) ).
thf(f57696,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_56
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f57509,f27369]) ).
thf(f57697,plain,
( spl0_494
| spl0_38
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f57062,f965,f438,f39085]) ).
thf(f57700,plain,
( ~ spl0_8
| spl0_244
| ~ spl0_56
| ~ spl0_532 ),
inference(avatar_split_clause,[],[f57691,f47701,f965,f15026,f164]) ).
thf(f57701,plain,
( spl0_85
| ~ spl0_8
| ~ spl0_56
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f57696,f8998,f965,f164,f1471]) ).
thf(f57773,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_25
| ~ spl0_62 ),
inference(constrained_superposition,[],[f56974,f1041]) ).
thf(f57776,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_25
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f57773]) ).
thf(f57777,plain,
( spl0_512
| ~ spl0_25
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f57776,f1040,f310,f44404]) ).
thf(f57836,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_419
| ~ spl0_541 ),
inference(constrained_superposition,[],[f48974,f27400]) ).
thf(f57857,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_419
| ~ spl0_541 ),
inference(trivial_inequality_removal,[],[f57836]) ).
thf(f57867,plain,
( spl0_259
| ~ spl0_419
| ~ spl0_541 ),
inference(avatar_split_clause,[],[f57857,f48973,f27399,f15320]) ).
thf(f57885,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_242 ),
inference(constrained_superposition,[],[f29,f15019]) ).
thf(f57887,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f57885]) ).
thf(f57953,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f29,f14836]) ).
thf(f57954,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f57953]) ).
thf(f57983,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_56
| ~ spl0_557 ),
inference(constrained_superposition,[],[f56940,f27369]) ).
thf(f57989,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_56
| ~ spl0_557 ),
inference(trivial_inequality_removal,[],[f57983]) ).
thf(f57996,plain,
( $false
| ~ spl0_56
| spl0_64
| ~ spl0_557 ),
inference(forward_subsumption_resolution,[],[f57989,f21132]) ).
thf(f57997,plain,
( ~ spl0_56
| spl0_64
| ~ spl0_557 ),
inference(avatar_contradiction_clause,[],[f57996]) ).
thf(f58030,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_220
| ~ spl0_477 ),
inference(constrained_superposition,[],[f35296,f14678]) ).
thf(f58034,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_220
| ~ spl0_477 ),
inference(trivial_inequality_removal,[],[f58030]) ).
thf(f58048,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_279 ),
inference(constrained_superposition,[],[f15892,f135]) ).
thf(f58059,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f58048]) ).
thf(f58063,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_244
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f58059,f17122]) ).
thf(f58064,plain,
( ~ spl0_8
| spl0_244
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f58063,f15891,f15026,f164]) ).
thf(f58209,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_469 ),
inference(constrained_superposition,[],[f33909,f136]) ).
thf(f58217,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_469 ),
inference(trivial_inequality_removal,[],[f58209]) ).
thf(f58244,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_218 ),
inference(constrained_superposition,[],[f44,f14671]) ).
thf(f58251,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f58244]) ).
thf(f58268,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f122,f14682]) ).
thf(f58281,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f58268]) ).
thf(f58290,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_221
| spl0_264 ),
inference(forward_subsumption_resolution,[],[f58281,f56925]) ).
thf(f58292,plain,
( spl0_365
| ~ spl0_221
| spl0_264 ),
inference(avatar_split_clause,[],[f58290,f15339,f14681,f18584]) ).
thf(f58368,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_133 ),
inference(constrained_superposition,[],[f9006,f37]) ).
thf(f58375,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f58368]) ).
thf(f58486,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_269 ),
inference(constrained_superposition,[],[f15362,f136]) ).
thf(f58497,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f58486]) ).
thf(f58609,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_215
| ~ spl0_288 ),
inference(constrained_superposition,[],[f16174,f14661]) ).
thf(f58612,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_215
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f58609]) ).
thf(f58616,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_215
| ~ spl0_224
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f58612,f18786]) ).
thf(f58617,plain,
( $false
| ~ spl0_215
| ~ spl0_224
| ~ spl0_240
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f58616,f14946]) ).
thf(f58618,plain,
( ~ spl0_215
| ~ spl0_224
| ~ spl0_240
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f58617]) ).
thf(f58642,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_214 ),
inference(constrained_superposition,[],[f14657,f56]) ).
thf(f58647,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f58642]) ).
thf(f58674,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_253
| ~ spl0_464 ),
inference(constrained_superposition,[],[f32384,f15298]) ).
thf(f58679,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_253
| ~ spl0_464 ),
inference(trivial_inequality_removal,[],[f58674]) ).
thf(f58680,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_253
| ~ spl0_464 ),
inference(forward_subsumption_resolution,[],[f58679,f27]) ).
thf(f58681,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_253
| spl0_267
| ~ spl0_464 ),
inference(forward_subsumption_resolution,[],[f58680,f31238]) ).
thf(f58682,plain,
( spl0_226
| ~ spl0_253
| spl0_267
| ~ spl0_464 ),
inference(avatar_split_clause,[],[f58681,f32383,f15352,f15297,f14831]) ).
thf(f58684,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_211
| ~ spl0_348 ),
inference(constrained_superposition,[],[f18104,f14630]) ).
thf(f58690,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_211
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f58684]) ).
thf(f58693,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_211
| ~ spl0_240
| ~ spl0_348 ),
inference(forward_subsumption_resolution,[],[f58690,f14946]) ).
thf(f58694,plain,
( $false
| ~ spl0_211
| ~ spl0_224
| ~ spl0_240
| ~ spl0_348 ),
inference(forward_subsumption_resolution,[],[f58693,f18786]) ).
thf(f58695,plain,
( ~ spl0_211
| ~ spl0_224
| ~ spl0_240
| ~ spl0_348 ),
inference(avatar_contradiction_clause,[],[f58694]) ).
thf(f58697,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_551 ),
inference(constrained_superposition,[],[f51556,f36]) ).
thf(f58709,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_551 ),
inference(trivial_inequality_removal,[],[f58697]) ).
thf(f58714,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_267
| ~ spl0_551 ),
inference(forward_subsumption_resolution,[],[f58709,f31238]) ).
thf(f58717,plain,
( spl0_247
| spl0_267
| ~ spl0_551 ),
inference(avatar_split_clause,[],[f58714,f51555,f15352,f15038]) ).
thf(f58740,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_69
| ~ spl0_340 ),
inference(constrained_superposition,[],[f1131,f17876]) ).
thf(f58741,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_69
| ~ spl0_232 ),
inference(constrained_superposition,[],[f1131,f14870]) ).
thf(f58748,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_69
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f58741]) ).
thf(f58752,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_69
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f58740]) ).
thf(f58757,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_28
| ~ spl0_69
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f58748,f338]) ).
thf(f58758,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_28
| ~ spl0_69
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f58752,f338]) ).
thf(f58759,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_28
| ~ spl0_38
| ~ spl0_69
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f58757,f439]) ).
thf(f58760,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_28
| ~ spl0_38
| ~ spl0_69
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f58758,f439]) ).
thf(f58761,plain,
( $false
| ~ spl0_28
| ~ spl0_38
| ~ spl0_69
| ~ spl0_232
| spl0_236 ),
inference(forward_subsumption_resolution,[],[f58759,f14943]) ).
thf(f58762,plain,
( ~ spl0_28
| ~ spl0_38
| ~ spl0_69
| ~ spl0_232
| spl0_236 ),
inference(avatar_contradiction_clause,[],[f58761]) ).
thf(f58763,plain,
( $false
| ~ spl0_28
| ~ spl0_38
| ~ spl0_69
| spl0_308
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f58760,f18052]) ).
thf(f58764,plain,
( ~ spl0_28
| ~ spl0_38
| ~ spl0_69
| spl0_308
| ~ spl0_340 ),
inference(avatar_contradiction_clause,[],[f58763]) ).
thf(f58766,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_215
| ~ spl0_227 ),
inference(constrained_superposition,[],[f57954,f14661]) ).
thf(f58767,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227
| ~ spl0_268 ),
inference(constrained_superposition,[],[f57954,f15359]) ).
thf(f58768,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227
| ~ spl0_232 ),
inference(constrained_superposition,[],[f57954,f14870]) ).
thf(f58769,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_227
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f58768]) ).
thf(f58771,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_215
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f58766]) ).
thf(f58772,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f58767]) ).
thf(f58773,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_38
| ~ spl0_227
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f58769,f439]) ).
thf(f58774,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_215
| ~ spl0_227
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f58771,f14946]) ).
thf(f58775,plain,
( spl0_542
| ~ spl0_38
| ~ spl0_227
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f58773,f14869,f14835,f438,f48989]) ).
thf(f58776,plain,
( spl0_540
| ~ spl0_215
| ~ spl0_227
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f58774,f14945,f14835,f14660,f48897]) ).
thf(f58794,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_440 ),
inference(constrained_superposition,[],[f28093,f796]) ).
thf(f58798,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f58794]) ).
thf(f58873,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_68
| ~ spl0_215 ),
inference(constrained_superposition,[],[f1126,f14661]) ).
thf(f58882,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_68
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f58873]) ).
thf(f58896,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f16286,f135]) ).
thf(f58909,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f58896]) ).
thf(f58911,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_244
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f58909,f17122]) ).
thf(f58912,plain,
( spl0_502
| ~ spl0_8
| spl0_244
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f58911,f16285,f15026,f164,f40057]) ).
thf(f59003,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_351 ),
inference(constrained_superposition,[],[f18187,f135]) ).
thf(f59015,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f59003]) ).
thf(f59019,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| spl0_337
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f59015,f33736]) ).
thf(f59021,plain,
( spl0_502
| ~ spl0_8
| spl0_337
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f59019,f18186,f17864,f164,f40057]) ).
thf(f59040,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_215
| ~ spl0_242 ),
inference(constrained_superposition,[],[f57887,f14661]) ).
thf(f59043,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_215
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f59040]) ).
thf(f59047,plain,
( spl0_237
| ~ spl0_215
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f59043,f15018,f14660,f14902]) ).
thf(f59050,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_68
| ~ spl0_215
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f58882,f14946]) ).
thf(f59052,plain,
( ~ spl0_242
| ~ spl0_236
| ~ spl0_220
| ~ spl0_477 ),
inference(avatar_split_clause,[],[f58034,f35295,f14677,f14889,f15018]) ).
thf(f59054,plain,
( ~ spl0_84
| ~ spl0_8
| spl0_253
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f58497,f15361,f15297,f164,f1449]) ).
thf(f59060,plain,
( spl0_88
| ~ spl0_85
| ~ spl0_227
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f58772,f15358,f14835,f1471,f1969]) ).
thf(f59061,plain,
( spl0_339
| spl0_340
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f58251,f14670,f17875,f17872]) ).
thf(f59062,plain,
( spl0_452
| spl0_62
| ~ spl0_18
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f58647,f14656,f240,f1040,f31234]) ).
thf(f59065,plain,
( ~ spl0_98
| spl0_242
| ~ spl0_68
| ~ spl0_215
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f59050,f14945,f14660,f1125,f15018,f3579]) ).
thf(f59096,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_267 ),
inference(constrained_superposition,[],[f29,f15353]) ).
thf(f59097,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f59096]) ).
thf(f59180,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f122,f27383]) ).
thf(f59191,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f59180]) ).
thf(f59255,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_292
| ~ spl0_519 ),
inference(constrained_superposition,[],[f45722,f27364]) ).
thf(f59256,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_133
| ~ spl0_292 ),
inference(constrained_superposition,[],[f9006,f27364]) ).
thf(f59257,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_136
| ~ spl0_292 ),
inference(constrained_superposition,[],[f9061,f27364]) ).
thf(f59259,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_138
| ~ spl0_292 ),
inference(constrained_superposition,[],[f9069,f27364]) ).
thf(f59260,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_214
| ~ spl0_292 ),
inference(constrained_superposition,[],[f14657,f27364]) ).
thf(f59261,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f284,f27364]) ).
thf(f59262,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f153,f27364]) ).
thf(f59264,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f71,f27364]) ).
thf(f59267,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_440 ),
inference(constrained_superposition,[],[f28093,f27364]) ).
thf(f59275,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_292
| ~ spl0_519 ),
inference(trivial_inequality_removal,[],[f59255]) ).
thf(f59278,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_138
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f59259]) ).
thf(f59279,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_136
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f59257]) ).
thf(f59280,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f59261]) ).
thf(f59283,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_214
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f59260]) ).
thf(f59285,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f59262]) ).
thf(f59288,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_133
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f59256]) ).
thf(f59289,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f59264]) ).
thf(f59292,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_292
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f59267]) ).
thf(f59293,plain,
( $false
| spl0_234
| ~ spl0_292
| ~ spl0_519 ),
inference(forward_subsumption_resolution,[],[f59275,f14879]) ).
thf(f59294,plain,
( spl0_234
| ~ spl0_292
| ~ spl0_519 ),
inference(avatar_contradiction_clause,[],[f59293]) ).
thf(f59295,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_138
| ~ spl0_292
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f59278,f27383]) ).
thf(f59296,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_214
| ~ spl0_292
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f59283,f27383]) ).
thf(f59299,plain,
( $false
| ~ spl0_138
| ~ spl0_292
| ~ spl0_355
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f59295,f27317]) ).
thf(f59300,plain,
( ~ spl0_138
| ~ spl0_292
| ~ spl0_355
| ~ spl0_414 ),
inference(avatar_contradiction_clause,[],[f59299]) ).
thf(f59301,plain,
( spl0_538
| ~ spl0_214
| ~ spl0_292
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f59296,f18281,f16301,f14656,f48432]) ).
thf(f59303,plain,
( ~ spl0_285
| spl0_62
| spl0_297
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f59289,f16301,f16322,f1040,f15950]) ).
thf(f59305,plain,
( spl0_138
| ~ spl0_292
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f59292,f28092,f16301,f9068]) ).
thf(f59309,plain,
( spl0_138
| spl0_259
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f58798,f28092,f15320,f9068]) ).
thf(f59314,plain,
( spl0_386
| spl0_34
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f56602,f15887,f424,f21160]) ).
thf(f59317,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_292
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f59285,f27383]) ).
thf(f59322,plain,
( ~ spl0_9
| ~ spl0_8
| spl0_65
| ~ spl0_469 ),
inference(avatar_split_clause,[],[f58217,f33908,f1084,f164,f168]) ).
thf(f59323,plain,
( ~ spl0_9
| ~ spl0_5
| spl0_64
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f58375,f9005,f1049,f104,f168]) ).
thf(f59324,plain,
( spl0_12
| spl0_286
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f59191,f18281,f15961,f191]) ).
thf(f59327,plain,
( spl0_85
| spl0_356
| ~ spl0_292
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f59317,f18281,f16301,f18284,f1471]) ).
thf(f59368,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f122,f27319]) ).
thf(f59371,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f44,f27319]) ).
thf(f59372,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( X0 = X1 )
| ( $true != $true )
| ( $true
= ( r @ X1 @ X0 ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f866,f27319]) ).
thf(f59377,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f59368]) ).
thf(f59379,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f59371]) ).
thf(f59382,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( r @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f59372]) ).
thf(f59442,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f29,f1085]) ).
thf(f59445,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f59442]) ).
thf(f59454,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_232 ),
inference(constrained_superposition,[],[f29,f14870]) ).
thf(f59455,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f59454]) ).
thf(f59459,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_262 ),
inference(constrained_superposition,[],[f29,f15333]) ).
thf(f59460,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f59459]) ).
thf(f59568,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_340 ),
inference(constrained_superposition,[],[f29,f17876]) ).
thf(f59569,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f59568]) ).
thf(f59658,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_514 ),
inference(constrained_superposition,[],[f44414,f36]) ).
thf(f59668,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_514 ),
inference(trivial_inequality_removal,[],[f59658]) ).
thf(f59673,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_386
| ~ spl0_514 ),
inference(forward_subsumption_resolution,[],[f59668,f31231]) ).
thf(f59674,plain,
( ~ spl0_5
| spl0_386
| ~ spl0_514 ),
inference(avatar_split_clause,[],[f59673,f44413,f21160,f104]) ).
thf(f59806,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_538 ),
inference(constrained_superposition,[],[f48433,f56]) ).
thf(f59810,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_538 ),
inference(trivial_inequality_removal,[],[f59806]) ).
thf(f59819,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_98
| ~ spl0_538 ),
inference(forward_subsumption_resolution,[],[f59810,f15028]) ).
thf(f59822,plain,
( $false
| spl0_25
| spl0_98
| ~ spl0_538 ),
inference(forward_subsumption_resolution,[],[f59819,f319]) ).
thf(f59823,plain,
( spl0_25
| spl0_98
| ~ spl0_538 ),
inference(avatar_contradiction_clause,[],[f59822]) ).
thf(f60036,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_460 ),
inference(constrained_superposition,[],[f32353,f135]) ).
thf(f60048,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_460 ),
inference(trivial_inequality_removal,[],[f60036]) ).
thf(f60054,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_460 ),
inference(forward_subsumption_resolution,[],[f60048,f27319]) ).
thf(f60056,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| spl0_85
| ~ spl0_460 ),
inference(forward_subsumption_resolution,[],[f60054,f1977]) ).
thf(f60057,plain,
( ~ spl0_9
| ~ spl0_18
| spl0_85
| ~ spl0_460 ),
inference(avatar_split_clause,[],[f60056,f32352,f1471,f240,f168]) ).
thf(f60157,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_461 ),
inference(constrained_superposition,[],[f32361,f56]) ).
thf(f60169,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_461 ),
inference(trivial_inequality_removal,[],[f60157]) ).
thf(f60203,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_458 ),
inference(constrained_superposition,[],[f32325,f56]) ).
thf(f60215,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_458 ),
inference(trivial_inequality_removal,[],[f60203]) ).
thf(f60230,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_131
| ~ spl0_292 ),
inference(constrained_superposition,[],[f8999,f27364]) ).
thf(f60240,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_131
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f60230]) ).
thf(f60249,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_262
| ~ spl0_518 ),
inference(constrained_superposition,[],[f44442,f15333]) ).
thf(f60252,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_262
| ~ spl0_518 ),
inference(trivial_inequality_removal,[],[f60249]) ).
thf(f60343,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_232
| ~ spl0_264 ),
inference(constrained_superposition,[],[f59455,f15340]) ).
thf(f60347,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_232
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f60343]) ).
thf(f60354,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_431 ),
inference(constrained_superposition,[],[f27714,f135]) ).
thf(f60356,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_431 ),
inference(constrained_superposition,[],[f27714,f56]) ).
thf(f60362,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f60356]) ).
thf(f60365,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f60354]) ).
thf(f60410,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_523 ),
inference(constrained_superposition,[],[f46910,f56]) ).
thf(f60417,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_523 ),
inference(trivial_inequality_removal,[],[f60410]) ).
thf(f60445,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_211
| ~ spl0_325 ),
inference(constrained_superposition,[],[f17398,f14630]) ).
thf(f60447,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_325
| ~ spl0_340 ),
inference(constrained_superposition,[],[f17398,f17876]) ).
thf(f60449,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_211
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f60445]) ).
thf(f60451,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_325
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f60447]) ).
thf(f60453,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_209
| ~ spl0_292 ),
inference(constrained_superposition,[],[f14623,f27364]) ).
thf(f60455,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f14623,f135]) ).
thf(f60459,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f14623,f37]) ).
thf(f60464,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f60455]) ).
thf(f60466,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f60459]) ).
thf(f60468,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_209
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f60453]) ).
thf(f60483,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_262
| ~ spl0_267 ),
inference(constrained_superposition,[],[f59460,f15353]) ).
thf(f60485,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_262
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f60483]) ).
thf(f60486,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_324
| ~ spl0_340 ),
inference(constrained_superposition,[],[f59569,f17357]) ).
thf(f60492,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_324
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f60486]) ).
thf(f60628,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60
| ~ spl0_65 ),
inference(constrained_superposition,[],[f59445,f1023]) ).
thf(f60630,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_65
| ~ spl0_224 ),
inference(constrained_superposition,[],[f59445,f18786]) ).
thf(f60635,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_60
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f60628]) ).
thf(f60639,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_65
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f60630]) ).
thf(f60640,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12
| ~ spl0_60
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f60635,f192]) ).
thf(f60641,plain,
( spl0_556
| ~ spl0_12
| ~ spl0_60
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f60640,f1084,f1022,f191,f56934]) ).
thf(f60642,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_240
| ~ spl0_556 ),
inference(constrained_superposition,[],[f56935,f14946]) ).
thf(f60645,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_240
| ~ spl0_556 ),
inference(trivial_inequality_removal,[],[f60642]) ).
thf(f60648,plain,
( $false
| ~ spl0_240
| ~ spl0_262
| ~ spl0_556 ),
inference(forward_subsumption_resolution,[],[f60645,f15333]) ).
thf(f60649,plain,
( ~ spl0_240
| ~ spl0_262
| ~ spl0_556 ),
inference(avatar_contradiction_clause,[],[f60648]) ).
thf(f60650,plain,
( ~ spl0_9
| spl0_85
| spl0_399
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f60365,f27713,f21218,f1471,f168]) ).
thf(f60652,plain,
( ~ spl0_25
| spl0_27
| ~ spl0_324
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f60492,f17875,f17356,f317,f310]) ).
thf(f60654,plain,
( ~ spl0_25
| spl0_27
| ~ spl0_232
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f60347,f15339,f14869,f317,f310]) ).
thf(f60656,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_292
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f59279,f27383]) ).
thf(f60657,plain,
( spl0_481
| ~ spl0_5
| spl0_64
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f60466,f14622,f1049,f104,f36167]) ).
thf(f60658,plain,
( ~ spl0_28
| ~ spl0_38
| ~ spl0_325
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f60451,f17875,f17397,f438,f337]) ).
thf(f60659,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| ~ spl0_523 ),
inference(forward_subsumption_resolution,[],[f60417,f27319]) ).
thf(f60660,plain,
( ~ spl0_8
| spl0_85
| spl0_557
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f60464,f14622,f56939,f1471,f164]) ).
thf(f60663,plain,
( spl0_554
| spl0_12
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f59377,f240,f191,f55686]) ).
thf(f60664,plain,
( ~ spl0_98
| ~ spl0_240
| ~ spl0_211
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f60449,f17397,f14629,f14945,f3579]) ).
thf(f60665,plain,
( spl0_540
| ~ spl0_240
| ~ spl0_65
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f60639,f14798,f1084,f14945,f48897]) ).
thf(f60667,plain,
( spl0_45
| ~ spl0_28
| ~ spl0_262
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f60485,f15352,f15332,f337,f549]) ).
thf(f60668,plain,
( spl0_155
| spl0_25
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f59382,f240,f310,f12372]) ).
thf(f60670,plain,
( spl0_179
| spl0_38
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f59379,f240,f438,f13303]) ).
thf(f60671,plain,
( ~ spl0_25
| ~ spl0_60
| ~ spl0_262
| ~ spl0_518 ),
inference(avatar_split_clause,[],[f60252,f44441,f15332,f1022,f310]) ).
thf(f60672,plain,
( ~ spl0_284
| ~ spl0_136
| ~ spl0_292
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f60656,f18281,f16301,f9060,f15947]) ).
thf(f60673,plain,
( spl0_98
| ~ spl0_57
| ~ spl0_18
| ~ spl0_523 ),
inference(avatar_split_clause,[],[f60659,f46909,f240,f969,f3579]) ).
thf(f60740,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f947,f27313]) ).
thf(f60745,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true ) )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f49,f27313]) ).
thf(f60753,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f60740]) ).
thf(f60758,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f60745]) ).
thf(f60871,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_220
| ~ spl0_262 ),
inference(constrained_superposition,[],[f59460,f14678]) ).
thf(f60876,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_220
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f60871]) ).
thf(f60879,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_220
| ~ spl0_242
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f60876,f15019]) ).
thf(f60880,plain,
( spl0_474
| ~ spl0_220
| ~ spl0_242
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f60879,f15332,f15018,f14677,f34999]) ).
thf(f60883,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_319
| ~ spl0_325 ),
inference(constrained_superposition,[],[f17398,f17305]) ).
thf(f60888,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_319
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f60883]) ).
thf(f60889,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_85
| ~ spl0_319
| ~ spl0_325 ),
inference(forward_subsumption_resolution,[],[f60888,f1472]) ).
thf(f60890,plain,
( $false
| ~ spl0_62
| ~ spl0_85
| ~ spl0_319
| ~ spl0_325 ),
inference(forward_subsumption_resolution,[],[f60889,f1041]) ).
thf(f60891,plain,
( ~ spl0_62
| ~ spl0_85
| ~ spl0_319
| ~ spl0_325 ),
inference(avatar_contradiction_clause,[],[f60890]) ).
thf(f60902,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_220
| ~ spl0_474 ),
inference(constrained_superposition,[],[f35000,f14678]) ).
thf(f60905,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_220
| ~ spl0_474 ),
inference(trivial_inequality_removal,[],[f60902]) ).
thf(f60906,plain,
( $false
| ~ spl0_98
| ~ spl0_220
| ~ spl0_474 ),
inference(forward_subsumption_resolution,[],[f60905,f3580]) ).
thf(f60907,plain,
( ~ spl0_98
| ~ spl0_220
| ~ spl0_474 ),
inference(avatar_contradiction_clause,[],[f60906]) ).
thf(f60908,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_133
| ~ spl0_284
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f59288,f27313]) ).
thf(f60909,plain,
( ~ spl0_285
| spl0_538
| ~ spl0_209
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f60468,f16301,f14622,f48432,f15950]) ).
thf(f60910,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_234
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f60758,f14879]) ).
thf(f60911,plain,
( spl0_440
| spl0_65
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f59280,f16301,f1084,f28092]) ).
thf(f60914,plain,
( ~ spl0_285
| ~ spl0_133
| ~ spl0_284
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f60908,f16301,f15947,f9005,f15950]) ).
thf(f60915,plain,
( spl0_10
| ~ spl0_9
| spl0_234
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f60910,f15947,f14878,f168,f171]) ).
thf(f60939,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_386 ),
inference(constrained_superposition,[],[f29,f21161]) ).
thf(f60942,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f60939]) ).
thf(f60978,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f71,f27369]) ).
thf(f60989,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f60978]) ).
thf(f60999,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| spl0_14
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f60989,f21143]) ).
thf(f61003,plain,
( spl0_59
| ~ spl0_57
| spl0_14
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f60999,f965,f211,f969,f975]) ).
thf(f61056,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_319
| ~ spl0_415 ),
inference(constrained_superposition,[],[f27334,f17305]) ).
thf(f61061,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_319
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f61056]) ).
thf(f61062,plain,
( $false
| ~ spl0_311
| ~ spl0_319
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f61061,f17212]) ).
thf(f61063,plain,
( ~ spl0_311
| ~ spl0_319
| ~ spl0_415 ),
inference(avatar_contradiction_clause,[],[f61062]) ).
thf(f61065,plain,
( spl0_62
| ~ spl0_57
| ~ spl0_1
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f60215,f32324,f73,f969,f1040]) ).
thf(f61067,plain,
( spl0_83
| spl0_224
| ~ spl0_84
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f60753,f15947,f1449,f14798,f1446]) ).
thf(f61068,plain,
( ~ spl0_1
| spl0_62
| spl0_451
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f60362,f27713,f31222,f1040,f73]) ).
thf(f61070,plain,
( ~ spl0_414
| ~ spl0_285
| ~ spl0_131
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f60240,f16301,f8998,f15950,f27316]) ).
thf(f61115,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f29,f1023]) ).
thf(f61116,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f61115]) ).
thf(f61174,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84
| ~ spl0_431 ),
inference(constrained_superposition,[],[f27714,f27386]) ).
thf(f61177,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f284,f27386]) ).
thf(f61181,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f49,f27386]) ).
thf(f61189,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f61177]) ).
thf(f61194,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f61181]) ).
thf(f61197,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f61174]) ).
thf(f61207,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| spl0_64
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f61194,f21132]) ).
thf(f61208,plain,
( spl0_399
| ~ spl0_9
| ~ spl0_84
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f61197,f27713,f1449,f168,f21218]) ).
thf(f61210,plain,
( spl0_10
| ~ spl0_9
| spl0_64
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f61207,f1449,f1049,f168,f171]) ).
thf(f61261,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_394 ),
inference(constrained_superposition,[],[f21194,f56]) ).
thf(f61267,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f61261]) ).
thf(f61273,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_14
| ~ spl0_394 ),
inference(forward_subsumption_resolution,[],[f61267,f21143]) ).
thf(f61275,plain,
( ~ spl0_5
| spl0_14
| ~ spl0_394 ),
inference(avatar_split_clause,[],[f61273,f21193,f211,f104]) ).
thf(f61277,plain,
( spl0_432
| spl0_65
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f61189,f1449,f1084,f27717]) ).
thf(f61278,plain,
( ~ spl0_8
| ~ spl0_1
| spl0_62
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f60169,f32360,f1040,f73,f164]) ).
thf(f61284,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f29,f212]) ).
thf(f61285,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f61284]) ).
thf(f61296,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f29,f1472]) ).
thf(f61299,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f61296]) ).
thf(f61349,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_419 ),
inference(constrained_superposition,[],[f32485,f31]) ).
thf(f61351,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_419 ),
inference(trivial_inequality_removal,[],[f61349]) ).
thf(f61392,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_240 ),
inference(constrained_superposition,[],[f29,f14946]) ).
thf(f61393,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f61392]) ).
thf(f61399,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f71,f27383]) ).
thf(f61401,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f44,f27383]) ).
thf(f61412,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f61401]) ).
thf(f61415,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f61399]) ).
thf(f61442,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_85
| ~ spl0_556 ),
inference(constrained_superposition,[],[f56935,f1472]) ).
thf(f61447,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_85
| ~ spl0_556 ),
inference(trivial_inequality_removal,[],[f61442]) ).
thf(f61448,plain,
( $false
| ~ spl0_60
| ~ spl0_85
| ~ spl0_556 ),
inference(forward_subsumption_resolution,[],[f61447,f1023]) ).
thf(f61449,plain,
( ~ spl0_60
| ~ spl0_85
| ~ spl0_556 ),
inference(avatar_contradiction_clause,[],[f61448]) ).
thf(f61479,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f153,f27317]) ).
thf(f61507,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f61479]) ).
thf(f61513,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f16314,f795]) ).
thf(f61514,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f16314,f135]) ).
thf(f61516,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f16314,f56]) ).
thf(f61523,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f61514]) ).
thf(f61527,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f61513]) ).
thf(f61528,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f61516]) ).
thf(f61567,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f284,f14675]) ).
thf(f61578,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f61567]) ).
thf(f61599,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_13
| ~ spl0_250 ),
inference(extensionality_resolution,[],[f15093,f33163]) ).
thf(f61600,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_13
| ~ spl0_250 ),
inference(extensionality_resolution,[],[f15093,f33163]) ).
thf(f61601,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_61
| ~ spl0_250 ),
inference(extensionality_resolution,[],[f15093,f14483]) ).
thf(f61606,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_66
| ~ spl0_250 ),
inference(extensionality_resolution,[],[f15093,f14471]) ).
thf(f61644,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_517 ),
inference(constrained_superposition,[],[f44438,f27386]) ).
thf(f61647,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_517 ),
inference(constrained_superposition,[],[f44438,f56]) ).
thf(f61652,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_84
| ~ spl0_517 ),
inference(trivial_inequality_removal,[],[f61644]) ).
thf(f61658,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_517 ),
inference(trivial_inequality_removal,[],[f61647]) ).
thf(f61661,plain,
( $false
| ~ spl0_56
| ~ spl0_84
| ~ spl0_517 ),
inference(forward_subsumption_resolution,[],[f61652,f27369]) ).
thf(f61662,plain,
( ~ spl0_56
| ~ spl0_84
| ~ spl0_517 ),
inference(avatar_contradiction_clause,[],[f61661]) ).
thf(f61672,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_212
| ~ spl0_477 ),
inference(constrained_superposition,[],[f35296,f14634]) ).
thf(f61673,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_212
| ~ spl0_267 ),
inference(constrained_superposition,[],[f59097,f14634]) ).
thf(f61675,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_212
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f61673]) ).
thf(f61678,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_212
| ~ spl0_477 ),
inference(trivial_inequality_removal,[],[f61672]) ).
thf(f61702,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_218 ),
inference(constrained_superposition,[],[f947,f14671]) ).
thf(f61724,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f61702]) ).
thf(f61730,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_218
| spl0_341 ),
inference(forward_subsumption_resolution,[],[f61724,f31922]) ).
thf(f61732,plain,
( ~ spl0_273
| spl0_272
| ~ spl0_218
| spl0_341 ),
inference(avatar_split_clause,[],[f61730,f17879,f14670,f15376,f15379]) ).
thf(f61748,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_496 ),
inference(constrained_superposition,[],[f39809,f796]) ).
thf(f61757,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_496 ),
inference(trivial_inequality_removal,[],[f61748]) ).
thf(f61774,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_355 ),
inference(constrained_superposition,[],[f432,f27383]) ).
thf(f61782,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f61774]) ).
thf(f61817,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_356 ),
inference(constrained_superposition,[],[f18285,f56]) ).
thf(f61828,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f61817]) ).
thf(f61839,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_547 ),
inference(constrained_superposition,[],[f51124,f136]) ).
thf(f61845,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_547 ),
inference(trivial_inequality_removal,[],[f61839]) ).
thf(f61850,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_293
| ~ spl0_386 ),
inference(constrained_superposition,[],[f60942,f16305]) ).
thf(f61851,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_60
| ~ spl0_386 ),
inference(constrained_superposition,[],[f60942,f1023]) ).
thf(f61854,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_60
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f61851]) ).
thf(f61855,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_293
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f61850]) ).
thf(f61867,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_546 ),
inference(constrained_superposition,[],[f50512,f136]) ).
thf(f61875,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_546 ),
inference(trivial_inequality_removal,[],[f61867]) ).
thf(f61885,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_219
| ~ spl0_272 ),
inference(constrained_superposition,[],[f15377,f14675]) ).
thf(f61901,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_219
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f61885]) ).
thf(f61909,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_219
| ~ spl0_272 ),
inference(constrained_superposition,[],[f61901,f37]) ).
thf(f61920,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_219
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f61909]) ).
thf(f61921,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_219
| spl0_234
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[],[f61920,f14879]) ).
thf(f61922,plain,
( ~ spl0_81
| ~ spl0_219
| spl0_234
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f61921,f15376,f14878,f14674,f1439]) ).
thf(f61923,plain,
( spl0_98
| ~ spl0_1
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f61528,f16313,f73,f3579]) ).
thf(f61925,plain,
( spl0_226
| spl0_98
| spl0_419 ),
inference(avatar_split_clause,[],[f61351,f27399,f3579,f14831]) ).
thf(f61927,plain,
( spl0_371
| spl0_98
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f61828,f18284,f3579,f18902]) ).
thf(f61928,plain,
( ~ spl0_308
| ~ spl0_311
| ~ spl0_212
| ~ spl0_477 ),
inference(avatar_split_clause,[],[f61678,f35295,f14633,f17211,f17193]) ).
thf(f61929,plain,
( spl0_227
| spl0_290
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f61578,f14674,f16293,f14835]) ).
thf(f61934,plain,
( ~ spl0_236
| spl0_303
| ~ spl0_293
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f61855,f21160,f16304,f17064,f14889]) ).
thf(f61935,plain,
( ~ spl0_25
| spl0_27
| ~ spl0_60
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f61854,f21160,f1022,f317,f310]) ).
thf(f61950,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_98 ),
inference(constrained_superposition,[],[f29,f3580]) ).
thf(f61952,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f61950]) ).
thf(f62002,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_219
| ~ spl0_545 ),
inference(constrained_superposition,[],[f50182,f14675]) ).
thf(f62005,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_545 ),
inference(constrained_superposition,[],[f50182,f136]) ).
thf(f62017,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219
| ~ spl0_545 ),
inference(trivial_inequality_removal,[],[f62002]) ).
thf(f62018,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_545 ),
inference(trivial_inequality_removal,[],[f62005]) ).
thf(f62020,plain,
( ~ spl0_255
| ~ spl0_219
| ~ spl0_545 ),
inference(avatar_split_clause,[],[f62017,f50181,f14674,f15306]) ).
thf(f62021,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_253
| ~ spl0_545 ),
inference(forward_subsumption_resolution,[],[f62018,f31914]) ).
thf(f62022,plain,
( ~ spl0_8
| spl0_253
| ~ spl0_545 ),
inference(avatar_split_clause,[],[f62021,f50181,f15297,f164]) ).
thf(f62040,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f159,f136]) ).
thf(f62050,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f62040]) ).
thf(f62119,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_14
| ~ spl0_240 ),
inference(constrained_superposition,[],[f61285,f14946]) ).
thf(f62121,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f62119]) ).
thf(f62125,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_132
| ~ spl0_240 ),
inference(constrained_superposition,[],[f62121,f9002]) ).
thf(f62128,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_132
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f62125]) ).
thf(f62130,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_62
| ~ spl0_132
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f62128,f1041]) ).
thf(f62131,plain,
( $false
| ~ spl0_14
| ~ spl0_62
| ~ spl0_85
| ~ spl0_132
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f62130,f1472]) ).
thf(f62132,plain,
( ~ spl0_14
| ~ spl0_62
| ~ spl0_85
| ~ spl0_132
| ~ spl0_240 ),
inference(avatar_contradiction_clause,[],[f62131]) ).
thf(f62137,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_414
| ~ spl0_496 ),
inference(forward_subsumption_resolution,[],[f61757,f27317]) ).
thf(f62138,plain,
( spl0_259
| ~ spl0_414
| ~ spl0_496 ),
inference(avatar_split_clause,[],[f62137,f39808,f27316,f15320]) ).
thf(f62142,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_240
| ~ spl0_259 ),
inference(constrained_superposition,[],[f62121,f15321]) ).
thf(f62143,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_259 ),
inference(constrained_superposition,[],[f29,f15321]) ).
thf(f62144,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_240
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f62142]) ).
thf(f62148,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f62143]) ).
thf(f62149,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_85
| ~ spl0_240
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f62144,f1472]) ).
thf(f62152,plain,
( ~ spl0_62
| ~ spl0_14
| ~ spl0_85
| ~ spl0_240
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f62149,f15320,f14945,f1471,f211,f1040]) ).
thf(f62153,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f80,f57]) ).
thf(f62161,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f62153]) ).
thf(f62193,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_60
| ~ spl0_293 ),
inference(constrained_superposition,[],[f61116,f16305]) ).
thf(f62198,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_60
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f62193]) ).
thf(f62199,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_60
| ~ spl0_242
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f62198,f15019]) ).
thf(f62200,plain,
( spl0_474
| ~ spl0_60
| ~ spl0_242
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f62199,f16304,f15018,f1022,f34999]) ).
thf(f62213,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_473 ),
inference(constrained_superposition,[],[f34996,f796]) ).
thf(f62222,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_473 ),
inference(trivial_inequality_removal,[],[f62213]) ).
thf(f62231,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_355
| ~ spl0_476 ),
inference(constrained_superposition,[],[f35029,f27383]) ).
thf(f62242,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_355
| ~ spl0_476 ),
inference(trivial_inequality_removal,[],[f62231]) ).
thf(f62245,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_285
| ~ spl0_355
| ~ spl0_476 ),
inference(forward_subsumption_resolution,[],[f62242,f27329]) ).
thf(f62246,plain,
( spl0_538
| ~ spl0_285
| ~ spl0_355
| ~ spl0_476 ),
inference(avatar_split_clause,[],[f62245,f35028,f18281,f15950,f48432]) ).
thf(f62287,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_6
| ~ spl0_219 ),
inference(constrained_superposition,[],[f62050,f14675]) ).
thf(f62300,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_6
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f62287]) ).
thf(f62306,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_6
| ~ spl0_219
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f62300,f27329]) ).
thf(f62307,plain,
( spl0_227
| ~ spl0_6
| ~ spl0_219
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f62306,f15950,f14674,f158,f14835]) ).
thf(f62308,plain,
( spl0_347
| ~ spl0_308
| ~ spl0_212
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f61675,f15352,f14633,f17193,f18054]) ).
thf(f62402,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_62
| ~ spl0_517 ),
inference(forward_subsumption_resolution,[],[f61658,f26501]) ).
thf(f62404,plain,
( ~ spl0_57
| spl0_62
| ~ spl0_517 ),
inference(avatar_split_clause,[],[f62402,f44437,f1040,f969]) ).
thf(f62479,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_220
| ~ spl0_267 ),
inference(constrained_superposition,[],[f59097,f14678]) ).
thf(f62480,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_220
| ~ spl0_240 ),
inference(constrained_superposition,[],[f62121,f14678]) ).
thf(f62482,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_220
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f62480]) ).
thf(f62485,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_220
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f62479]) ).
thf(f62487,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_220
| ~ spl0_240
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f62482,f15019]) ).
thf(f62490,plain,
( ~ spl0_244
| ~ spl0_14
| ~ spl0_220
| ~ spl0_240
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f62487,f15018,f14945,f14677,f211,f15026]) ).
thf(f62522,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f947,f14682]) ).
thf(f62524,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f153,f14682]) ).
thf(f62528,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f49,f14682]) ).
thf(f62541,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f62524]) ).
thf(f62544,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f62522]) ).
thf(f62548,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f62528]) ).
thf(f62551,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 @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_221
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f62541,f17122]) ).
thf(f62554,plain,
( ~ spl0_361
| spl0_360
| ~ spl0_221
| spl0_244 ),
inference(avatar_split_clause,[],[f62551,f15026,f14681,f18560,f18563]) ).
thf(f62599,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_221
| spl0_236 ),
inference(forward_subsumption_resolution,[],[f62548,f14943]) ).
thf(f62600,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_221
| spl0_293 ),
inference(forward_subsumption_resolution,[],[f62544,f33724]) ).
thf(f62601,plain,
( spl0_366
| ~ spl0_338
| ~ spl0_221
| spl0_236 ),
inference(avatar_split_clause,[],[f62599,f14889,f14681,f17868,f18591]) ).
thf(f62602,plain,
( spl0_323
| ~ spl0_322
| ~ spl0_221
| spl0_293 ),
inference(avatar_split_clause,[],[f62600,f16304,f14681,f17315,f17318]) ).
thf(f62615,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_335 ),
inference(constrained_superposition,[],[f29,f17855]) ).
thf(f62616,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f62615]) ).
thf(f62673,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f159,f136]) ).
thf(f62682,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f62673]) ).
thf(f62695,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_217
| ~ spl0_535 ),
inference(constrained_superposition,[],[f47717,f14668]) ).
thf(f62697,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_217
| ~ spl0_535 ),
inference(trivial_inequality_removal,[],[f62695]) ).
thf(f62850,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_217
| ~ spl0_237 ),
inference(constrained_superposition,[],[f14903,f14668]) ).
thf(f62853,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_217
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f62850]) ).
thf(f62858,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_222
| ~ spl0_513 ),
inference(constrained_superposition,[],[f44409,f14685]) ).
thf(f62860,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_222
| ~ spl0_513 ),
inference(trivial_inequality_removal,[],[f62858]) ).
thf(f62868,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f15962,f796]) ).
thf(f62871,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_285
| ~ spl0_286 ),
inference(constrained_superposition,[],[f15962,f27329]) ).
thf(f62872,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f15962,f57]) ).
thf(f62873,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_285
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f62871]) ).
thf(f62874,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f62868]) ).
thf(f62878,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f62872]) ).
thf(f62883,plain,
( spl0_32
| ~ spl0_285
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f62873,f15961,f15950,f417]) ).
thf(f62884,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_262
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f62878,f38413]) ).
thf(f62885,plain,
( spl0_32
| spl0_262
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f62884,f15961,f15332,f417]) ).
thf(f62942,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_85
| ~ spl0_386 ),
inference(constrained_superposition,[],[f61299,f21161]) ).
thf(f62944,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_85
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f62942]) ).
thf(f62968,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_291 ),
inference(constrained_superposition,[],[f16298,f56]) ).
thf(f62973,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f62968]) ).
thf(f62981,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_242
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f62973,f15044]) ).
thf(f62982,plain,
( spl0_545
| ~ spl0_1
| spl0_242
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f62981,f16297,f15018,f73,f50181]) ).
thf(f62983,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_414
| ~ spl0_510 ),
inference(constrained_superposition,[],[f42617,f27317]) ).
thf(f62984,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_510 ),
inference(constrained_superposition,[],[f42617,f795]) ).
thf(f63001,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_414
| ~ spl0_510 ),
inference(trivial_inequality_removal,[],[f62983]) ).
thf(f63002,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_510 ),
inference(trivial_inequality_removal,[],[f62984]) ).
thf(f63004,definition,
( spl0_560
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_560])],[avatar_definition]) ).
thf(f63005,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_560 ),
inference(avatar_component_clause,[],[f63004]) ).
thf(f63008,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_560 ),
inference(constrained_superposition,[],[f63005,f135]) ).
thf(f63015,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_560 ),
inference(trivial_inequality_removal,[],[f63008]) ).
thf(f63023,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_56
| ~ spl0_560 ),
inference(forward_subsumption_resolution,[],[f63015,f27369]) ).
thf(f63026,plain,
( spl0_244
| ~ spl0_56
| ~ spl0_560 ),
inference(avatar_split_clause,[],[f63023,f63004,f965,f15026]) ).
thf(f63058,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_212
| ~ spl0_259 ),
inference(constrained_superposition,[],[f62148,f14634]) ).
thf(f63059,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_220
| ~ spl0_259 ),
inference(constrained_superposition,[],[f62148,f14678]) ).
thf(f63061,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_259
| ~ spl0_267 ),
inference(constrained_superposition,[],[f62148,f15353]) ).
thf(f63062,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_212
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f63058]) ).
thf(f63063,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_220
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f63059]) ).
thf(f63064,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_259
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f63061]) ).
thf(f63071,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_308
| ~ spl0_539 ),
inference(constrained_superposition,[],[f48894,f17194]) ).
thf(f63075,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_308
| ~ spl0_539 ),
inference(trivial_inequality_removal,[],[f63071]) ).
thf(f63076,plain,
( $false
| ~ spl0_308
| ~ spl0_386
| ~ spl0_539 ),
inference(forward_subsumption_resolution,[],[f63075,f21161]) ).
thf(f63077,plain,
( ~ spl0_308
| ~ spl0_386
| ~ spl0_539 ),
inference(avatar_contradiction_clause,[],[f63076]) ).
thf(f63078,plain,
( ~ spl0_341
| spl0_539
| ~ spl0_212
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f63062,f15320,f14633,f48893,f17879]) ).
thf(f63080,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_222
| ~ spl0_335 ),
inference(constrained_superposition,[],[f62616,f14685]) ).
thf(f63082,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_222
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f63080]) ).
thf(f63085,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_222
| ~ spl0_244
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f63082,f15027]) ).
thf(f63086,plain,
( spl0_537
| ~ spl0_222
| ~ spl0_244
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f63085,f17854,f15026,f14684,f48239]) ).
thf(f63087,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_212
| ~ spl0_240 ),
inference(constrained_superposition,[],[f61393,f14634]) ).
thf(f63088,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_220
| ~ spl0_240 ),
inference(constrained_superposition,[],[f61393,f14678]) ).
thf(f63089,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_240
| ~ spl0_259 ),
inference(constrained_superposition,[],[f61393,f15321]) ).
thf(f63092,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_220
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f63088]) ).
thf(f63093,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_240
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f63089]) ).
thf(f63094,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_212
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f63087]) ).
thf(f63095,plain,
( spl0_235
| ~ spl0_220
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f63092,f14945,f14677,f14886]) ).
thf(f63096,plain,
( spl0_275
| ~ spl0_240
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f63093,f15320,f14945,f15612]) ).
thf(f63097,plain,
( spl0_310
| ~ spl0_212
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f63094,f14945,f14633,f17207]) ).
thf(f63100,plain,
( ~ spl0_311
| ~ spl0_308
| ~ spl0_217
| ~ spl0_535 ),
inference(avatar_split_clause,[],[f62697,f47716,f14667,f17193,f17211]) ).
thf(f63101,plain,
( spl0_303
| ~ spl0_236
| ~ spl0_220
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f62485,f15352,f14677,f14889,f17064]) ).
thf(f63103,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_220
| ~ spl0_222
| ~ spl0_513 ),
inference(forward_subsumption_resolution,[],[f62860,f14678]) ).
thf(f63104,plain,
( ~ spl0_293
| spl0_515
| ~ spl0_220
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f63063,f15320,f14677,f44424,f16304]) ).
thf(f63105,plain,
( spl0_63
| ~ spl0_85
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f62944,f21160,f1471,f1046]) ).
thf(f63106,plain,
( ~ spl0_311
| ~ spl0_212
| ~ spl0_217
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f62853,f14902,f14667,f14633,f17211]) ).
thf(f63108,plain,
( ~ spl0_236
| ~ spl0_220
| ~ spl0_222
| ~ spl0_513 ),
inference(avatar_split_clause,[],[f63103,f44408,f14684,f14677,f14889]) ).
thf(f63116,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_340
| ~ spl0_346 ),
inference(constrained_superposition,[],[f18043,f17876]) ).
thf(f63121,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_340
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f63116]) ).
thf(f63168,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_337 ),
inference(constrained_superposition,[],[f55697,f17865]) ).
thf(f63171,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f63168]) ).
thf(f63175,plain,
( spl0_536
| ~ spl0_16
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f63171,f17864,f218,f47784]) ).
thf(f63267,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_213 ),
inference(constrained_superposition,[],[f62682,f14637]) ).
thf(f63268,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f284,f14637]) ).
thf(f63297,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_6
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f63267]) ).
thf(f63298,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f63268]) ).
thf(f63302,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_6
| ~ spl0_213
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f63297,f27329]) ).
thf(f63303,plain,
( spl0_354
| spl0_335
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f63298,f14636,f17854,f18199]) ).
thf(f63304,plain,
( spl0_335
| ~ spl0_6
| ~ spl0_213
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f63302,f15950,f14636,f158,f17854]) ).
thf(f63338,plain,
( spl0_38
| spl0_493
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f61412,f18281,f39079,f438]) ).
thf(f63340,plain,
( ~ spl0_8
| spl0_335
| ~ spl0_9
| ~ spl0_546 ),
inference(avatar_split_clause,[],[f61875,f50511,f168,f17854,f164]) ).
thf(f63344,plain,
( ~ spl0_38
| ~ spl0_232
| ~ spl0_340
| ~ spl0_346 ),
inference(avatar_split_clause,[],[f63121,f18042,f17875,f14869,f438]) ).
thf(f63345,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_224
| ~ spl0_510 ),
inference(forward_subsumption_resolution,[],[f63002,f14799]) ).
thf(f63346,plain,
( ~ spl0_285
| ~ spl0_284
| ~ spl0_36
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f61782,f18281,f431,f15947,f15950]) ).
thf(f63348,plain,
( spl0_227
| ~ spl0_9
| ~ spl0_8
| ~ spl0_547 ),
inference(avatar_split_clause,[],[f61845,f51123,f164,f168,f14835]) ).
thf(f63349,plain,
( spl0_14
| ~ spl0_285
| spl0_297
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f61415,f18281,f16322,f15950,f211]) ).
thf(f63350,plain,
( spl0_240
| ~ spl0_56
| spl0_55
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f61507,f27316,f962,f965,f14945]) ).
thf(f63351,plain,
( ~ spl0_56
| spl0_517
| ~ spl0_414
| ~ spl0_510 ),
inference(avatar_split_clause,[],[f63001,f42616,f27316,f44437,f965]) ).
thf(f63352,plain,
( spl0_240
| ~ spl0_9
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f61523,f16313,f168,f14945]) ).
thf(f63354,plain,
( ~ spl0_56
| spl0_517
| spl0_224
| ~ spl0_510 ),
inference(avatar_split_clause,[],[f63345,f42616,f14798,f44437,f965]) ).
thf(f63370,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_18 ),
inference(constrained_superposition,[],[f62161,f27319]) ).
thf(f63383,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f63370]) ).
thf(f63397,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_3
| spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f63383,f53722]) ).
thf(f63399,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_12
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f63397,f240,f191,f79,f73]) ).
thf(f63400,plain,
( ~ spl0_51
| spl0_224
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f61527,f16313,f14798,f949]) ).
thf(f63401,plain,
( spl0_139
| ~ spl0_386
| ~ spl0_259
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f63064,f15352,f15320,f21160,f9532]) ).
thf(f63403,plain,
( spl0_517
| ~ spl0_56
| spl0_224
| ~ spl0_510 ),
inference(avatar_split_clause,[],[f63002,f42616,f14798,f965,f44437]) ).
thf(f63452,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_262
| ~ spl0_267 ),
inference(constrained_superposition,[],[f59097,f15333]) ).
thf(f63453,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_98
| ~ spl0_262 ),
inference(constrained_superposition,[],[f61952,f15333]) ).
thf(f63457,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_98
| ~ spl0_262 ),
inference(duplicate_literal_removal,[],[f63453]) ).
thf(f63458,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_98
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f63457]) ).
thf(f63460,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_262
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f63452]) ).
thf(f63506,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f947,f27313]) ).
thf(f63507,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f284,f27313]) ).
thf(f63510,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f122,f27313]) ).
thf(f63511,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f71,f27313]) ).
thf(f63512,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f49,f27313]) ).
thf(f63513,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f44,f27313]) ).
thf(f63520,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f63507]) ).
thf(f63525,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f63511]) ).
thf(f63530,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f63506]) ).
thf(f63532,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f63512]) ).
thf(f63533,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f63510]) ).
thf(f63535,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f63513]) ).
thf(f63600,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_381 ),
inference(constrained_superposition,[],[f20950,f37]) ).
thf(f63609,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f63600]) ).
thf(f63619,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_216
| ~ spl0_510 ),
inference(constrained_superposition,[],[f42617,f14664]) ).
thf(f63621,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f947,f14664]) ).
thf(f63622,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f284,f14664]) ).
thf(f63623,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f153,f14664]) ).
thf(f63627,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f49,f14664]) ).
thf(f63635,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f63623]) ).
thf(f63636,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f63627]) ).
thf(f63642,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_216
| ~ spl0_510 ),
inference(trivial_inequality_removal,[],[f63619]) ).
thf(f63645,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f63621]) ).
thf(f63647,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f63622]) ).
thf(f63650,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_216
| spl0_240 ),
inference(forward_subsumption_resolution,[],[f63635,f14950]) ).
thf(f63651,plain,
( spl0_560
| ~ spl0_304
| ~ spl0_216
| ~ spl0_510 ),
inference(avatar_split_clause,[],[f63642,f42616,f14663,f17077,f63004]) ).
thf(f63654,plain,
( spl0_305
| ~ spl0_304
| ~ spl0_216
| spl0_240 ),
inference(avatar_split_clause,[],[f63650,f14945,f14663,f17077,f17080]) ).
thf(f63682,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_98
| ~ spl0_212
| ~ spl0_262 ),
inference(constrained_superposition,[],[f63458,f14634]) ).
thf(f63686,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_98
| ~ spl0_212
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f63682]) ).
thf(f63693,plain,
( ~ spl0_311
| ~ spl0_98
| ~ spl0_212
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f63686,f15332,f14633,f3579,f17211]) ).
thf(f63704,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_282 ),
inference(constrained_superposition,[],[f15918,f135]) ).
thf(f63715,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f63704]) ).
thf(f63721,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_240
| ~ spl0_282 ),
inference(forward_subsumption_resolution,[],[f63715,f14950]) ).
thf(f63723,plain,
( ~ spl0_8
| spl0_240
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f63721,f15917,f14945,f164]) ).
thf(f63726,plain,
( spl0_253
| spl0_448
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f63520,f15947,f30841,f15297]) ).
thf(f63727,plain,
( spl0_6
| ~ spl0_8
| spl0_98
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f63525,f15947,f3579,f164,f158]) ).
thf(f63729,plain,
( spl0_253
| spl0_254
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f63647,f14663,f15300,f15297]) ).
thf(f63730,plain,
( spl0_64
| ~ spl0_21
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f63609,f20949,f250,f1049]) ).
thf(f63731,plain,
( ~ spl0_81
| ~ spl0_5
| spl0_60
| spl0_61
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f61601,f15092,f1025,f1022,f104,f1439]) ).
thf(f63732,plain,
( spl0_259
| spl0_469
| ~ spl0_473 ),
inference(avatar_split_clause,[],[f62222,f34995,f33908,f15320]) ).
thf(f63733,plain,
( ~ spl0_25
| spl0_27
| ~ spl0_262
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f63460,f15352,f15332,f317,f310]) ).
thf(f63734,plain,
( ~ spl0_9
| spl0_10
| spl0_234
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f63532,f15947,f14878,f171,f168]) ).
thf(f63735,plain,
( ~ spl0_270
| spl0_271
| spl0_234
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f63636,f14663,f14878,f15370,f15367]) ).
thf(f63737,definition,
( spl0_562
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_562])],[avatar_definition]) ).
thf(f63738,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_562 ),
inference(avatar_component_clause,[],[f63737]) ).
thf(f63739,plain,
( spl0_259
| spl0_562
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f62874,f15961,f63737,f15320]) ).
thf(f63740,plain,
( ~ spl0_273
| spl0_224
| spl0_272
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f63645,f14663,f15376,f14798,f15379]) ).
thf(f63743,plain,
( spl0_85
| ~ spl0_21
| ~ spl0_81
| spl0_66
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f61606,f15092,f1087,f1439,f250,f1471]) ).
thf(f63744,plain,
( ~ spl0_5
| ~ spl0_21
| spl0_14
| spl0_13
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f61600,f15092,f194,f211,f250,f104]) ).
thf(f63745,plain,
( spl0_83
| ~ spl0_84
| spl0_224
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f63530,f15947,f14798,f1449,f1446]) ).
thf(f63746,plain,
( spl0_12
| ~ spl0_5
| ~ spl0_21
| spl0_13
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f61599,f15092,f194,f250,f104,f191]) ).
thf(f63855,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f122,f27386]) ).
thf(f63856,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f71,f27386]) ).
thf(f63858,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f44,f27386]) ).
thf(f63868,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f63858]) ).
thf(f63870,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f63856]) ).
thf(f63874,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f63855]) ).
thf(f63881,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_419 ),
inference(constrained_superposition,[],[f284,f27400]) ).
thf(f63903,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f63881]) ).
thf(f63909,plain,
( spl0_466
| spl0_253
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f63903,f27399,f15297,f32631]) ).
thf(f63918,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_413 ),
inference(constrained_superposition,[],[f27300,f37]) ).
thf(f63923,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f63918]) ).
thf(f63925,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_542 ),
inference(constrained_superposition,[],[f48990,f192]) ).
thf(f63928,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_542 ),
inference(trivial_inequality_removal,[],[f63925]) ).
thf(f63929,plain,
( $false
| ~ spl0_12
| ~ spl0_28
| ~ spl0_542 ),
inference(forward_subsumption_resolution,[],[f63928,f338]) ).
thf(f63930,plain,
( ~ spl0_12
| ~ spl0_28
| ~ spl0_542 ),
inference(avatar_contradiction_clause,[],[f63929]) ).
thf(f63931,plain,
( spl0_267
| spl0_450
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f63535,f15947,f31087,f15352]) ).
thf(f63932,plain,
( spl0_262
| spl0_471
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f63533,f15947,f34968,f15332]) ).
thf(f63933,plain,
( spl0_386
| spl0_431
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f63868,f1449,f27713,f21160]) ).
thf(f63961,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f49,f27329]) ).
thf(f63968,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f63961]) ).
thf(f63979,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| spl0_25
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f63968,f319]) ).
thf(f63981,plain,
( spl0_280
| ~ spl0_260
| spl0_25
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f63979,f15950,f310,f15324,f15906]) ).
thf(f64050,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_398 ),
inference(constrained_superposition,[],[f21215,f37]) ).
thf(f64058,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f64050]) ).
thf(f64072,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_244
| ~ spl0_556 ),
inference(constrained_superposition,[],[f56935,f15027]) ).
thf(f64075,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_244
| ~ spl0_556 ),
inference(trivial_inequality_removal,[],[f64072]) ).
thf(f64078,plain,
( $false
| ~ spl0_244
| ~ spl0_264
| ~ spl0_556 ),
inference(forward_subsumption_resolution,[],[f64075,f15340]) ).
thf(f64079,plain,
( ~ spl0_244
| ~ spl0_264
| ~ spl0_556 ),
inference(avatar_contradiction_clause,[],[f64078]) ).
thf(f64080,plain,
( spl0_60
| spl0_478
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f63874,f1449,f35795,f1022]) ).
thf(f64087,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_285 ),
inference(constrained_superposition,[],[f15951,f31]) ).
thf(f64089,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_285 ),
inference(trivial_inequality_removal,[],[f64087]) ).
thf(f64091,plain,
( spl0_226
| spl0_262
| spl0_285 ),
inference(avatar_split_clause,[],[f64089,f15950,f15332,f14831]) ).
thf(f64099,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_419 ),
inference(constrained_superposition,[],[f947,f27400]) ).
thf(f64101,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_419 ),
inference(constrained_superposition,[],[f153,f27400]) ).
thf(f64105,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_419 ),
inference(constrained_superposition,[],[f49,f27400]) ).
thf(f64106,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_419 ),
inference(constrained_superposition,[],[f44,f27400]) ).
thf(f64112,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f64105]) ).
thf(f64113,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f64099]) ).
thf(f64118,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f64106]) ).
thf(f64120,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f64101]) ).
thf(f64125,plain,
( spl0_224
| spl0_80
| ~ spl0_79
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f64113,f27399,f1432,f1435,f14798]) ).
thf(f64128,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| spl0_240
| ~ spl0_419 ),
inference(forward_subsumption_resolution,[],[f64120,f14950]) ).
thf(f64153,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f122,f27364]) ).
thf(f64155,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f49,f27364]) ).
thf(f64156,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f44,f27364]) ).
thf(f64162,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f64155]) ).
thf(f64165,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f64153]) ).
thf(f64169,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f64156]) ).
thf(f64189,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_399 ),
inference(constrained_superposition,[],[f21219,f56]) ).
thf(f64198,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f64189]) ).
thf(f64248,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_319
| ~ spl0_391 ),
inference(constrained_superposition,[],[f21183,f17305]) ).
thf(f64250,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_319
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f64248]) ).
thf(f64252,plain,
( $false
| ~ spl0_308
| ~ spl0_319
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f64250,f17194]) ).
thf(f64253,plain,
( ~ spl0_308
| ~ spl0_319
| ~ spl0_391 ),
inference(avatar_contradiction_clause,[],[f64252]) ).
thf(f64343,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_210
| ~ spl0_446 ),
inference(constrained_superposition,[],[f30695,f14627]) ).
thf(f64360,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_210
| ~ spl0_446 ),
inference(trivial_inequality_removal,[],[f64343]) ).
thf(f64371,plain,
( ~ spl0_544
| ~ spl0_210
| ~ spl0_446 ),
inference(avatar_split_clause,[],[f64360,f30694,f14626,f49972]) ).
thf(f64373,plain,
( ~ spl0_8
| spl0_6
| spl0_62
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f63870,f1449,f1040,f158,f164]) ).
thf(f64374,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_16
| ~ spl0_398 ),
inference(forward_subsumption_resolution,[],[f64058,f599]) ).
thf(f64375,plain,
( spl0_551
| spl0_60
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f64165,f16301,f1022,f51555]) ).
thf(f64376,plain,
( spl0_25
| ~ spl0_1
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f63923,f27299,f73,f310]) ).
thf(f64377,plain,
( spl0_267
| spl0_467
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f64118,f27399,f33363,f15352]) ).
thf(f64378,plain,
( ~ spl0_8
| spl0_14
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f64198,f21218,f211,f164]) ).
thf(f64379,plain,
( ~ spl0_260
| spl0_64
| spl0_280
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f64162,f16301,f15906,f1049,f15324]) ).
thf(f64380,plain,
( spl0_234
| spl0_3
| ~ spl0_1
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f64112,f27399,f73,f79,f14878]) ).
thf(f64381,plain,
( spl0_386
| spl0_435
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f64169,f16301,f27916,f21160]) ).
thf(f64383,plain,
( spl0_19
| ~ spl0_18
| spl0_240
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f64128,f27399,f14945,f240,f243]) ).
thf(f64385,plain,
( ~ spl0_1
| spl0_16
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f64374,f21214,f218,f73]) ).
thf(f64386,plain,
( spl0_19
| spl0_240
| ~ spl0_18
| ~ spl0_419 ),
inference(avatar_split_clause,[],[f64120,f27399,f240,f14945,f243]) ).
thf(f64400,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f29,f212]) ).
thf(f64401,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f64400]) ).
thf(f64434,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true ) )
| ~ spl0_267 ),
inference(constrained_superposition,[],[f29,f15353]) ).
thf(f64435,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f64434]) ).
thf(f64493,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_284 ),
inference(constrained_superposition,[],[f15948,f31]) ).
thf(f64496,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_284 ),
inference(trivial_inequality_removal,[],[f64493]) ).
thf(f64500,plain,
( spl0_240
| spl0_231
| spl0_284 ),
inference(avatar_split_clause,[],[f64496,f15947,f14854,f14945]) ).
thf(f64521,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_335
| ~ spl0_402 ),
inference(constrained_superposition,[],[f21861,f17855]) ).
thf(f64525,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_335
| ~ spl0_402 ),
inference(trivial_inequality_removal,[],[f64521]) ).
thf(f64529,plain,
( ~ spl0_311
| ~ spl0_335
| ~ spl0_402 ),
inference(avatar_split_clause,[],[f64525,f21860,f17854,f17211]) ).
thf(f64556,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_320 ),
inference(constrained_superposition,[],[f17309,f31]) ).
thf(f64559,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| spl0_320 ),
inference(trivial_inequality_removal,[],[f64556]) ).
thf(f64561,plain,
( spl0_324
| spl0_312
| spl0_320 ),
inference(avatar_split_clause,[],[f64559,f17308,f17218,f17356]) ).
thf(f64567,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f284,f27317]) ).
thf(f64569,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f122,f27317]) ).
thf(f64571,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f49,f27317]) ).
thf(f64580,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f64571]) ).
thf(f64581,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f64569]) ).
thf(f64588,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f64567]) ).
thf(f64635,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f947,f14675]) ).
thf(f64637,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f153,f14675]) ).
thf(f64639,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f71,f14675]) ).
thf(f64650,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f64637]) ).
thf(f64653,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f64635]) ).
thf(f64658,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f64639]) ).
thf(f64738,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_80
| ~ spl0_292 ),
inference(constrained_superposition,[],[f1436,f27364]) ).
thf(f64749,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_80
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f64738]) ).
thf(f64755,plain,
( spl0_545
| ~ spl0_80
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f64749,f16301,f1435,f50181]) ).
thf(f64756,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f64650,f17122]) ).
thf(f64758,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_219
| spl0_242 ),
inference(forward_subsumption_resolution,[],[f64658,f15044]) ).
thf(f64759,plain,
( spl0_510
| spl0_253
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f64588,f27316,f15297,f42616]) ).
thf(f64760,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| spl0_234
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f64580,f14879]) ).
thf(f64761,plain,
( ~ spl0_292
| spl0_294
| spl0_293
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f64653,f14674,f16304,f16307,f16301]) ).
thf(f64762,plain,
( spl0_484
| spl0_262
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f64581,f27316,f15332,f36431]) ).
thf(f64763,plain,
( ~ spl0_355
| spl0_356
| ~ spl0_219
| spl0_244 ),
inference(avatar_split_clause,[],[f64756,f15026,f14674,f18284,f18281]) ).
thf(f64764,plain,
( ~ spl0_285
| spl0_297
| ~ spl0_219
| spl0_242 ),
inference(avatar_split_clause,[],[f64758,f15018,f14674,f16322,f15950]) ).
thf(f64765,plain,
( spl0_53
| ~ spl0_51
| spl0_234
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f64760,f27316,f14878,f949,f955]) ).
thf(f64839,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_240
| ~ spl0_542 ),
inference(constrained_superposition,[],[f48990,f14946]) ).
thf(f64843,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_240
| ~ spl0_542 ),
inference(trivial_inequality_removal,[],[f64839]) ).
thf(f64844,plain,
( $false
| ~ spl0_240
| ~ spl0_267
| ~ spl0_542 ),
inference(forward_subsumption_resolution,[],[f64843,f15353]) ).
thf(f64845,plain,
( ~ spl0_240
| ~ spl0_267
| ~ spl0_542 ),
inference(avatar_contradiction_clause,[],[f64844]) ).
thf(f64853,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_89 ),
inference(constrained_superposition,[],[f1975,f57]) ).
thf(f64854,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f64853]) ).
thf(f64862,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_255 ),
inference(constrained_superposition,[],[f15307,f31]) ).
thf(f64864,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_255 ),
inference(trivial_inequality_removal,[],[f64862]) ).
thf(f64866,plain,
( spl0_264
| spl0_229
| spl0_255 ),
inference(avatar_split_clause,[],[f64864,f15306,f14846,f15339]) ).
thf(f64932,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_259
| ~ spl0_477 ),
inference(constrained_superposition,[],[f35296,f15321]) ).
thf(f64936,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_259
| ~ spl0_477 ),
inference(trivial_inequality_removal,[],[f64932]) ).
thf(f64958,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_182 ),
inference(constrained_superposition,[],[f13322,f135]) ).
thf(f64968,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f64958]) ).
thf(f65029,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f248,f136]) ).
thf(f65031,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f248,f56]) ).
thf(f65036,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f65029]) ).
thf(f65040,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f65031]) ).
thf(f65051,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_238
| ~ spl0_341 ),
inference(constrained_superposition,[],[f14920,f17880]) ).
thf(f65054,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_238
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f65051]) ).
thf(f65074,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_34
| ~ spl0_355 ),
inference(constrained_superposition,[],[f425,f27383]) ).
thf(f65085,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f65074]) ).
thf(f65087,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_285
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f65085,f27329]) ).
thf(f65088,plain,
( ~ spl0_441
| ~ spl0_34
| ~ spl0_285
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f65087,f18281,f15950,f424,f28097]) ).
thf(f65108,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f153,f14637]) ).
thf(f65109,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f122,f14637]) ).
thf(f65110,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f71,f14637]) ).
thf(f65113,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_213
| ~ spl0_507 ),
inference(constrained_superposition,[],[f41491,f14637]) ).
thf(f65122,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_213
| ~ spl0_507 ),
inference(trivial_inequality_removal,[],[f65113]) ).
thf(f65128,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f65110]) ).
thf(f65130,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f65108]) ).
thf(f65133,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f65109]) ).
thf(f65134,plain,
( ~ spl0_338
| ~ spl0_213
| ~ spl0_507 ),
inference(avatar_split_clause,[],[f65122,f41490,f14636,f17868]) ).
thf(f65136,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_213
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f65128,f27329]) ).
thf(f65139,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_213
| ~ spl0_238
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f65133,f65054]) ).
thf(f65142,plain,
( spl0_351
| ~ spl0_213
| ~ spl0_238
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f65139,f17879,f14919,f14636,f18186]) ).
thf(f65166,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_218 ),
inference(constrained_superposition,[],[f49,f14671]) ).
thf(f65182,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f65166]) ).
thf(f65186,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_218
| spl0_308 ),
inference(forward_subsumption_resolution,[],[f65182,f18052]) ).
thf(f65189,plain,
( spl0_271
| ~ spl0_270
| ~ spl0_218
| spl0_308 ),
inference(avatar_split_clause,[],[f65186,f17193,f14670,f15367,f15370]) ).
thf(f65306,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_414
| ~ spl0_562 ),
inference(constrained_superposition,[],[f63738,f27317]) ).
thf(f65309,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_414
| ~ spl0_562 ),
inference(trivial_inequality_removal,[],[f65306]) ).
thf(f65318,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_285
| ~ spl0_414
| ~ spl0_562 ),
inference(forward_subsumption_resolution,[],[f65309,f27329]) ).
thf(f65319,plain,
( $false
| ~ spl0_285
| ~ spl0_355
| ~ spl0_414
| ~ spl0_562 ),
inference(forward_subsumption_resolution,[],[f65318,f27383]) ).
thf(f65320,plain,
( ~ spl0_285
| ~ spl0_355
| ~ spl0_414
| ~ spl0_562 ),
inference(avatar_contradiction_clause,[],[f65319]) ).
thf(f65346,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_259
| ~ spl0_267 ),
inference(constrained_superposition,[],[f64435,f15321]) ).
thf(f65351,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_259
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f65346]) ).
thf(f65364,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_20
| ~ spl0_285 ),
inference(constrained_superposition,[],[f65036,f27329]) ).
thf(f65365,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f65036,f57]) ).
thf(f65373,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f65365]) ).
thf(f65379,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_20
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f65364]) ).
thf(f65384,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_267
| ~ spl0_405 ),
inference(constrained_superposition,[],[f24912,f15353]) ).
thf(f65385,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_267
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f65384]) ).
thf(f65397,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_240 ),
inference(constrained_superposition,[],[f64401,f14946]) ).
thf(f65401,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f65397]) ).
thf(f65404,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_240
| ~ spl0_267 ),
inference(constrained_superposition,[],[f65401,f15353]) ).
thf(f65406,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_240
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f65404]) ).
thf(f65408,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_38
| ~ spl0_240
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f65406,f439]) ).
thf(f65409,plain,
( $false
| ~ spl0_14
| ~ spl0_28
| ~ spl0_38
| ~ spl0_240
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f65408,f338]) ).
thf(f65410,plain,
( ~ spl0_14
| ~ spl0_28
| ~ spl0_38
| ~ spl0_240
| ~ spl0_267 ),
inference(avatar_contradiction_clause,[],[f65409]) ).
thf(f65411,plain,
( ~ spl0_1
| spl0_12
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f64854,f1974,f191,f73]) ).
thf(f65412,plain,
( spl0_396
| spl0_14
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f65040,f247,f211,f21202]) ).
thf(f65413,plain,
( ~ spl0_8
| spl0_85
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f64968,f13321,f1471,f164]) ).
thf(f65414,plain,
( spl0_33
| ~ spl0_1
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f65373,f247,f73,f420]) ).
thf(f65415,plain,
( spl0_297
| spl0_311
| ~ spl0_213
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f65136,f15950,f14636,f17211,f16322]) ).
thf(f65416,plain,
( ~ spl0_64
| spl0_391
| ~ spl0_259
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f65351,f15352,f15320,f21182,f1049]) ).
thf(f65417,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_213
| spl0_337 ),
inference(forward_subsumption_resolution,[],[f65130,f33736]) ).
thf(f65418,plain,
( spl0_324
| spl0_351
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f65133,f14636,f18186,f17356]) ).
thf(f65419,plain,
( ~ spl0_64
| ~ spl0_62
| ~ spl0_259
| ~ spl0_477 ),
inference(avatar_split_clause,[],[f64936,f35295,f15320,f1040,f1049]) ).
thf(f65420,plain,
( spl0_253
| ~ spl0_1
| ~ spl0_20
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f65379,f15950,f247,f73,f15297]) ).
thf(f65421,plain,
( ~ spl0_386
| ~ spl0_28
| ~ spl0_267
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f65385,f24911,f15352,f337,f21160]) ).
thf(f65422,plain,
( spl0_356
| ~ spl0_355
| ~ spl0_213
| spl0_337 ),
inference(avatar_split_clause,[],[f65417,f17864,f14636,f18281,f18284]) ).
thf(f65455,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f49,f27319]) ).
thf(f65463,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f65455]) ).
thf(f65476,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f65463,f599]) ).
thf(f65478,plain,
( spl0_3
| ~ spl0_1
| spl0_16
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f65476,f240,f218,f73,f79]) ).
thf(f65643,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_65
| ~ spl0_139 ),
inference(constrained_superposition,[],[f9533,f1085]) ).
thf(f65648,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_65
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f65643]) ).
thf(f65651,plain,
( $false
| ~ spl0_38
| ~ spl0_65
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f65648,f439]) ).
thf(f65652,plain,
( ~ spl0_38
| ~ spl0_65
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f65651]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f81]) ).
cnf(s2,plain,
( spl0_2
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f106]) ).
cnf(s3,plain,
( spl0_6
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f166]) ).
cnf(s4,plain,
( ~ spl0_9
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f176]) ).
cnf(s5,plain,
( spl0_8
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f196]) ).
cnf(s8,plain,
( ~ spl0_6
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f216]) ).
cnf(s9,plain,
( ~ spl0_6
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f223]) ).
cnf(s10,plain,
( spl0_7
| ~ spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f245]) ).
cnf(s11,plain,
( spl0_11
| spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f252]) ).
cnf(s12,plain,
( spl0_16
| spl0_21 ),
inference(sat_conversion,[],[f257]) ).
cnf(s14,plain,
( spl0_12
| spl0_22 ),
inference(sat_conversion,[],[f289]) ).
cnf(s15,plain,
( spl0_14
| spl0_23 ),
inference(sat_conversion,[],[f293]) ).
cnf(s16,plain,
( spl0_5
| spl0_9
| ~ spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f304]) ).
cnf(s18,plain,
( spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f315]) ).
cnf(s19,plain,
( spl0_9
| ~ spl0_12
| ~ spl0_25
| spl0_27 ),
inference(sat_conversion,[],[f320]) ).
cnf(s20,plain,
( spl0_1
| ~ spl0_14
| ~ spl0_16
| ~ spl0_25 ),
inference(sat_conversion,[],[f335]) ).
cnf(s21,plain,
( spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f342]) ).
cnf(s22,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_25
| ~ spl0_28 ),
inference(sat_conversion,[],[f363]) ).
cnf(s23,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_30 ),
inference(sat_conversion,[],[f382]) ).
cnf(s25,plain,
( ~ spl0_22
| spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f422]) ).
cnf(s27,plain,
( ~ spl0_22
| spl0_36
| spl0_37 ),
inference(sat_conversion,[],[f436]) ).
cnf(s28,plain,
( spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f443]) ).
cnf(s29,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_38 ),
inference(sat_conversion,[],[f461]) ).
cnf(s31,plain,
( ~ spl0_12
| ~ spl0_25
| spl0_27
| ~ spl0_38 ),
inference(sat_conversion,[],[f478]) ).
cnf(s32,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_16
| ~ spl0_28
| ~ spl0_38 ),
inference(sat_conversion,[],[f491]) ).
cnf(s37,plain,
( ~ spl0_29
| spl0_30
| spl0_46 ),
inference(sat_conversion,[],[f587]) ).
cnf(s40,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_16
| ~ spl0_38
| spl0_50 ),
inference(sat_conversion,[],[f603]) ).
cnf(s43,plain,
( ~ spl0_5
| ~ spl0_9
| spl0_16
| ~ spl0_36 ),
inference(sat_conversion,[],[f653]) ).
cnf(s44,plain,
( ~ spl0_15
| spl0_30 ),
inference(sat_conversion,[],[f662]) ).
cnf(s45,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f669]) ).
cnf(s46,plain,
( spl0_13
| spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f671]) ).
cnf(s48,plain,
( ~ spl0_51
| spl0_52
| spl0_53 ),
inference(sat_conversion,[],[f957]) ).
cnf(s49,plain,
( spl0_54
| spl0_55
| ~ spl0_56 ),
inference(sat_conversion,[],[f967]) ).
cnf(s50,plain,
( ~ spl0_57
| spl0_58
| spl0_59 ),
inference(sat_conversion,[],[f977]) ).
cnf(s54,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_16
| ~ spl0_28
| ~ spl0_38
| spl0_51
| spl0_62 ),
inference(sat_conversion,[],[f1043]) ).
cnf(s55,plain,
( ~ spl0_11
| spl0_51
| spl0_63
| spl0_64 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s56,plain,
( ~ spl0_7
| spl0_51
| spl0_62
| spl0_63 ),
inference(sat_conversion,[],[f1052]) ).
cnf(s57,plain,
( ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| ~ spl0_64 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s58,plain,
( spl0_56
| spl0_65
| spl0_66 ),
inference(sat_conversion,[],[f1089]) ).
cnf(s63,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_16
| spl0_67 ),
inference(sat_conversion,[],[f1123]) ).
cnf(s64,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_16
| spl0_68 ),
inference(sat_conversion,[],[f1127]) ).
cnf(s65,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_27 ),
inference(sat_conversion,[],[f1128]) ).
cnf(s66,plain,
( ~ spl0_2
| ~ spl0_11
| spl0_16
| spl0_69 ),
inference(sat_conversion,[],[f1132]) ).
cnf(s72,plain,
( ~ spl0_16
| spl0_51
| ~ spl0_65
| spl0_70 ),
inference(sat_conversion,[],[f1186]) ).
cnf(s74,plain,
( spl0_37
| ~ spl0_39
| spl0_72 ),
inference(sat_conversion,[],[f1266]) ).
cnf(s81,plain,
( spl0_38
| ~ spl0_43 ),
inference(sat_conversion,[],[f1378]) ).
cnf(s87,plain,
( ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| spl0_81 ),
inference(sat_conversion,[],[f1460]) ).
cnf(s88,plain,
( spl0_13
| spl0_84
| spl0_85 ),
inference(sat_conversion,[],[f1473]) ).
cnf(s99,plain,
( ~ spl0_11
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| spl0_85 ),
inference(sat_conversion,[],[f1993]) ).
cnf(s101,plain,
( ~ spl0_16
| ~ spl0_33
| ~ spl0_52
| spl0_60
| spl0_91 ),
inference(sat_conversion,[],[f2270]) ).
cnf(s102,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28
| ~ spl0_60
| ~ spl0_62
| ~ spl0_65 ),
inference(sat_conversion,[],[f2302]) ).
cnf(s103,plain,
( ~ spl0_25
| spl0_27
| spl0_51
| ~ spl0_60 ),
inference(sat_conversion,[],[f2306]) ).
cnf(s106,plain,
( ~ spl0_39
| spl0_65
| spl0_92 ),
inference(sat_conversion,[],[f2372]) ).
cnf(s107,plain,
( ~ spl0_16
| spl0_63
| ~ spl0_85 ),
inference(sat_conversion,[],[f2373]) ).
cnf(s108,plain,
( ~ spl0_33
| spl0_60
| ~ spl0_62
| spl0_93 ),
inference(sat_conversion,[],[f2377]) ).
cnf(s109,plain,
( ~ spl0_7
| ~ spl0_33
| ~ spl0_58
| spl0_60
| spl0_94 ),
inference(sat_conversion,[],[f2462]) ).
cnf(s111,plain,
( spl0_17
| ~ spl0_25
| ~ spl0_28
| ~ spl0_59
| ~ spl0_62 ),
inference(sat_conversion,[],[f2511]) ).
cnf(s138,plain,
~ spl0_61,
inference(sat_conversion,[],[f3608]) ).
cnf(s175,plain,
~ spl0_13,
inference(sat_conversion,[],[f5012]) ).
cnf(s185,plain,
( ~ spl0_11
| spl0_51
| ~ spl0_54
| spl0_107 ),
inference(sat_conversion,[],[f5397]) ).
cnf(s209,plain,
( spl0_65
| spl0_125 ),
inference(sat_conversion,[],[f8882]) ).
cnf(s210,plain,
( spl0_60
| spl0_126 ),
inference(sat_conversion,[],[f8886]) ).
cnf(s218,plain,
( ~ spl0_126
| spl0_131
| spl0_132 ),
inference(sat_conversion,[],[f9003]) ).
cnf(s223,plain,
( ~ spl0_125
| spl0_132
| spl0_138 ),
inference(sat_conversion,[],[f9070]) ).
cnf(s241,plain,
( ~ spl0_17
| ~ spl0_62
| spl0_146 ),
inference(sat_conversion,[],[f10573]) ).
cnf(s268,plain,
( spl0_156
| spl0_157 ),
inference(sat_conversion,[],[f12382]) ).
cnf(s363,plain,
( ~ spl0_11
| spl0_69
| ~ spl0_156 ),
inference(sat_conversion,[],[f13549]) ).
cnf(s374,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| ~ spl0_63
| ~ spl0_156 ),
inference(sat_conversion,[],[f13599]) ).
cnf(s379,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_167 ),
inference(sat_conversion,[],[f13664]) ).
cnf(s416,plain,
( spl0_60
| spl0_61
| ~ spl0_81
| spl0_209 ),
inference(sat_conversion,[],[f14624]) ).
cnf(s417,plain,
( spl0_61
| spl0_210
| spl0_211 ),
inference(sat_conversion,[],[f14631]) ).
cnf(s418,plain,
( spl0_61
| spl0_212
| spl0_213 ),
inference(sat_conversion,[],[f14638]) ).
cnf(s421,plain,
( spl0_66
| spl0_217
| spl0_218 ),
inference(sat_conversion,[],[f14672]) ).
cnf(s422,plain,
( spl0_66
| spl0_219
| spl0_220 ),
inference(sat_conversion,[],[f14679]) ).
cnf(s423,plain,
( spl0_66
| spl0_221
| spl0_222 ),
inference(sat_conversion,[],[f14686]) ).
cnf(s444,plain,
( ~ spl0_2
| ~ spl0_215
| spl0_236
| spl0_237 ),
inference(sat_conversion,[],[f14904]) ).
cnf(s470,plain,
( ~ spl0_7
| ~ spl0_16
| ~ spl0_215
| ~ spl0_234
| ~ spl0_240
| spl0_242 ),
inference(sat_conversion,[],[f15047]) ).
cnf(s479,plain,
( spl0_249
| spl0_250 ),
inference(sat_conversion,[],[f15094]) ).
cnf(s480,plain,
( ~ spl0_9
| ~ spl0_155
| spl0_251 ),
inference(sat_conversion,[],[f15100]) ).
cnf(s481,plain,
( ~ spl0_65
| ~ spl0_85
| spl0_166 ),
inference(sat_conversion,[],[f15169]) ).
cnf(s483,plain,
( ~ spl0_11
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| ~ spl0_65
| spl0_166 ),
inference(sat_conversion,[],[f15176]) ).
cnf(s509,plain,
( ~ spl0_59
| spl0_66
| ~ spl0_216
| spl0_259
| spl0_264 ),
inference(sat_conversion,[],[f15382]) ).
cnf(s510,plain,
( spl0_260
| spl0_267 ),
inference(sat_conversion,[],[f15387]) ).
cnf(s516,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| spl0_234
| ~ spl0_262 ),
inference(sat_conversion,[],[f15451]) ).
cnf(s518,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| spl0_98
| ~ spl0_262 ),
inference(sat_conversion,[],[f15453]) ).
cnf(s520,plain,
( spl0_232
| spl0_270 ),
inference(sat_conversion,[],[f15459]) ).
cnf(s523,plain,
( ~ spl0_11
| spl0_234
| ~ spl0_253
| spl0_274 ),
inference(sat_conversion,[],[f15506]) ).
cnf(s526,plain,
( spl0_229
| spl0_255
| spl0_264 ),
inference(sat_conversion,[],[f15516]) ).
cnf(s535,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_98
| ~ spl0_259 ),
inference(sat_conversion,[],[f15609]) ).
cnf(s539,plain,
( ~ spl0_11
| spl0_234
| ~ spl0_259
| spl0_275 ),
inference(sat_conversion,[],[f15618]) ).
cnf(s540,plain,
( ~ spl0_2
| spl0_98
| spl0_234 ),
inference(sat_conversion,[],[f15626]) ).
cnf(s586,plain,
~ spl0_66,
inference(sat_conversion,[],[f15990]) ).
cnf(s599,plain,
( spl0_66
| spl0_221
| spl0_222 ),
inference(sat_conversion,[],[f16016]) ).
cnf(s600,plain,
( spl0_65
| spl0_66
| ~ spl0_81
| spl0_214 ),
inference(sat_conversion,[],[f16017]) ).
cnf(s601,plain,
( spl0_66
| spl0_215
| spl0_216 ),
inference(sat_conversion,[],[f16018]) ).
cnf(s602,plain,
( spl0_66
| spl0_219
| spl0_220 ),
inference(sat_conversion,[],[f16019]) ).
cnf(s603,plain,
( spl0_66
| spl0_217
| spl0_218 ),
inference(sat_conversion,[],[f16020]) ).
cnf(s608,plain,
( spl0_231
| spl0_268
| spl0_273 ),
inference(sat_conversion,[],[f16127]) ).
cnf(s612,plain,
( spl0_61
| spl0_268
| spl0_273 ),
inference(sat_conversion,[],[f16135]) ).
cnf(s613,plain,
( ~ spl0_7
| spl0_242
| ~ spl0_268
| spl0_288 ),
inference(sat_conversion,[],[f16175]) ).
cnf(s614,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_242
| ~ spl0_268 ),
inference(sat_conversion,[],[f16176]) ).
cnf(s636,plain,
( ~ spl0_59
| spl0_61
| ~ spl0_219
| spl0_268
| ~ spl0_285 ),
inference(sat_conversion,[],[f16327]) ).
cnf(s638,plain,
( ~ spl0_59
| ~ spl0_219
| spl0_268
| ~ spl0_285 ),
inference(sat_conversion,[],[f16329]) ).
cnf(s658,plain,
~ spl0_231,
inference(sat_conversion,[],[f16636]) ).
cnf(s677,plain,
( spl0_226
| spl0_262
| spl0_285 ),
inference(sat_conversion,[],[f16667]) ).
cnf(s692,plain,
~ spl0_287,
inference(sat_conversion,[],[f16936]) ).
cnf(s697,plain,
( ~ spl0_70
| ~ spl0_227
| ~ spl0_236 ),
inference(sat_conversion,[],[f16982]) ).
cnf(s699,plain,
( ~ spl0_216
| ~ spl0_270
| ~ spl0_295 ),
inference(sat_conversion,[],[f17013]) ).
cnf(s710,plain,
( ~ spl0_7
| ~ spl0_16
| spl0_98
| ~ spl0_220
| ~ spl0_236
| spl0_242 ),
inference(sat_conversion,[],[f17107]) ).
cnf(s719,plain,
( ~ spl0_220
| ~ spl0_234
| ~ spl0_303 ),
inference(sat_conversion,[],[f17147]) ).
cnf(s722,plain,
( ~ spl0_7
| ~ spl0_16
| spl0_242
| ~ spl0_303 ),
inference(sat_conversion,[],[f17151]) ).
cnf(s728,plain,
( ~ spl0_7
| ~ spl0_211
| spl0_310
| spl0_311 ),
inference(sat_conversion,[],[f17213]) ).
cnf(s733,plain,
( ~ spl0_7
| ~ spl0_16
| ~ spl0_211
| ~ spl0_234
| ~ spl0_240
| spl0_311 ),
inference(sat_conversion,[],[f17229]) ).
cnf(s748,plain,
( ~ spl0_11
| spl0_308
| ~ spl0_324
| spl0_325 ),
inference(sat_conversion,[],[f17399]) ).
cnf(s760,plain,
( ~ spl0_7
| spl0_98
| spl0_240 ),
inference(sat_conversion,[],[f17436]) ).
cnf(s763,plain,
( spl0_227
| spl0_304 ),
inference(sat_conversion,[],[f17469]) ).
cnf(s764,plain,
( spl0_226
| spl0_227
| spl0_304 ),
inference(sat_conversion,[],[f17471]) ).
cnf(s767,plain,
( ~ spl0_7
| ~ spl0_227
| spl0_242
| spl0_302 ),
inference(sat_conversion,[],[f17509]) ).
cnf(s770,plain,
( ~ spl0_11
| ~ spl0_227
| spl0_236
| spl0_302 ),
inference(sat_conversion,[],[f17515]) ).
cnf(s771,plain,
( ~ spl0_25
| ~ spl0_28
| ~ spl0_308
| ~ spl0_311 ),
inference(sat_conversion,[],[f17541]) ).
cnf(s776,plain,
( ~ spl0_16
| ~ spl0_225
| ~ spl0_240 ),
inference(sat_conversion,[],[f17580]) ).
cnf(s777,plain,
( ~ spl0_7
| ~ spl0_16
| spl0_98
| ~ spl0_225 ),
inference(sat_conversion,[],[f17582]) ).
cnf(s786,plain,
( ~ spl0_126
| ~ spl0_210
| spl0_269
| spl0_319 ),
inference(sat_conversion,[],[f17652]) ).
cnf(s861,plain,
( spl0_253
| spl0_355 ),
inference(sat_conversion,[],[f18297]) ).
cnf(s864,plain,
( spl0_61
| spl0_253
| spl0_355 ),
inference(sat_conversion,[],[f18300]) ).
cnf(s865,plain,
( ~ spl0_70
| ~ spl0_234
| ~ spl0_253 ),
inference(sat_conversion,[],[f18338]) ).
cnf(s873,plain,
( ~ spl0_220
| ~ spl0_244
| ~ spl0_274 ),
inference(sat_conversion,[],[f18425]) ).
cnf(s874,plain,
( ~ spl0_85
| ~ spl0_259
| ~ spl0_274 ),
inference(sat_conversion,[],[f18431]) ).
cnf(s884,plain,
( ~ spl0_126
| ~ spl0_218
| spl0_268
| spl0_345 ),
inference(sat_conversion,[],[f18499]) ).
cnf(s899,plain,
( ~ spl0_59
| ~ spl0_221
| spl0_268
| spl0_287
| spl0_324 ),
inference(sat_conversion,[],[f18588]) ).
cnf(s909,plain,
( spl0_75
| ~ spl0_271
| spl0_293 ),
inference(sat_conversion,[],[f18705]) ).
cnf(s910,plain,
( spl0_43
| spl0_236
| ~ spl0_271 ),
inference(sat_conversion,[],[f18706]) ).
cnf(s911,plain,
( ~ spl0_216
| spl0_279
| ~ spl0_297 ),
inference(sat_conversion,[],[f18781]) ).
cnf(s915,plain,
( spl0_182
| spl0_224
| ~ spl0_297 ),
inference(sat_conversion,[],[f18788]) ).
cnf(s917,plain,
( ~ spl0_15
| spl0_148 ),
inference(sat_conversion,[],[f18798]) ).
cnf(s919,plain,
( ~ spl0_30
| spl0_60 ),
inference(sat_conversion,[],[f18845]) ).
cnf(s925,plain,
( ~ spl0_25
| ~ spl0_30
| ~ spl0_63 ),
inference(sat_conversion,[],[f18886]) ).
cnf(s928,plain,
( ~ spl0_7
| ~ spl0_16
| ~ spl0_25
| ~ spl0_30
| spl0_50 ),
inference(sat_conversion,[],[f18894]) ).
cnf(s933,plain,
( spl0_240
| ~ spl0_297
| spl0_371 ),
inference(sat_conversion,[],[f18904]) ).
cnf(s934,plain,
( spl0_15
| spl0_98
| ~ spl0_297 ),
inference(sat_conversion,[],[f18905]) ).
cnf(s938,plain,
( spl0_13
| spl0_259
| spl0_292 ),
inference(sat_conversion,[],[f18911]) ).
cnf(s939,plain,
( spl0_259
| spl0_292 ),
inference(sat_conversion,[],[f18913]) ).
cnf(s951,plain,
( ~ spl0_59
| spl0_66
| ~ spl0_210
| spl0_259
| spl0_324 ),
inference(sat_conversion,[],[f18927]) ).
cnf(s952,plain,
( ~ spl0_7
| ~ spl0_222
| spl0_311
| spl0_346 ),
inference(sat_conversion,[],[f18928]) ).
cnf(s955,plain,
( ~ spl0_139
| ~ spl0_224
| ~ spl0_267 ),
inference(sat_conversion,[],[f19027]) ).
cnf(s956,plain,
( ~ spl0_85
| ~ spl0_224
| spl0_275 ),
inference(sat_conversion,[],[f19036]) ).
cnf(s960,plain,
( spl0_51
| ~ spl0_224
| spl0_225
| ~ spl0_234 ),
inference(sat_conversion,[],[f19048]) ).
cnf(s961,plain,
( ~ spl0_11
| ~ spl0_16
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| ~ spl0_224
| ~ spl0_234
| ~ spl0_240 ),
inference(sat_conversion,[],[f19050]) ).
cnf(s970,plain,
( ~ spl0_126
| ~ spl0_216
| spl0_268
| spl0_269 ),
inference(sat_conversion,[],[f19116]) ).
cnf(s974,plain,
( ~ spl0_57
| ~ spl0_279
| spl0_293 ),
inference(sat_conversion,[],[f19136]) ).
cnf(s977,plain,
( ~ spl0_11
| ~ spl0_222
| spl0_308
| spl0_346 ),
inference(sat_conversion,[],[f19156]) ).
cnf(s995,plain,
( ~ spl0_59
| ~ spl0_213
| spl0_226
| spl0_262
| spl0_319 ),
inference(sat_conversion,[],[f19235]) ).
cnf(s997,plain,
( ~ spl0_126
| ~ spl0_213
| spl0_259
| spl0_345 ),
inference(sat_conversion,[],[f19237]) ).
cnf(s1001,plain,
( spl0_98
| ~ spl0_216
| ~ spl0_255
| spl0_256 ),
inference(sat_conversion,[],[f19245]) ).
cnf(s1011,plain,
( ~ spl0_25
| ~ spl0_28
| ~ spl0_98
| ~ spl0_234 ),
inference(sat_conversion,[],[f19331]) ).
cnf(s1027,plain,
( ~ spl0_37
| ~ spl0_70
| ~ spl0_234 ),
inference(sat_conversion,[],[f19411]) ).
cnf(s1029,plain,
( ~ spl0_25
| ~ spl0_28
| ~ spl0_236
| ~ spl0_242 ),
inference(sat_conversion,[],[f19430]) ).
cnf(s1030,plain,
( spl0_338
| spl0_340 ),
inference(sat_conversion,[],[f19436]) ).
cnf(s1032,plain,
( ~ spl0_11
| spl0_236
| spl0_244 ),
inference(sat_conversion,[],[f19468]) ).
cnf(s1034,plain,
( ~ spl0_85
| spl0_288
| ~ spl0_293 ),
inference(sat_conversion,[],[f19567]) ).
cnf(s1040,plain,
( spl0_335
| spl0_361 ),
inference(sat_conversion,[],[f19584]) ).
cnf(s1058,plain,
( ~ spl0_216
| ~ spl0_255
| ~ spl0_282 ),
inference(sat_conversion,[],[f19883]) ).
cnf(s1060,plain,
( ~ spl0_57
| spl0_224
| ~ spl0_282 ),
inference(sat_conversion,[],[f19886]) ).
cnf(s1066,plain,
( ~ spl0_2
| spl0_308
| spl0_311 ),
inference(sat_conversion,[],[f19950]) ).
cnf(s1068,plain,
( spl0_15
| spl0_242
| ~ spl0_256 ),
inference(sat_conversion,[],[f19953]) ).
cnf(s1077,plain,
( spl0_51
| ~ spl0_308
| ~ spl0_341
| spl0_347 ),
inference(sat_conversion,[],[f20051]) ).
cnf(s1090,plain,
( ~ spl0_7
| ~ spl0_166
| spl0_311
| ~ spl0_341 ),
inference(sat_conversion,[],[f20090]) ).
cnf(s1091,plain,
( ~ spl0_85
| ~ spl0_341
| spl0_348 ),
inference(sat_conversion,[],[f20092]) ).
cnf(s1094,plain,
( ~ spl0_210
| spl0_234
| ~ spl0_338
| spl0_366 ),
inference(sat_conversion,[],[f20102]) ).
cnf(s1107,plain,
( ~ spl0_2
| spl0_236
| spl0_242 ),
inference(sat_conversion,[],[f20206]) ).
cnf(s1109,plain,
( spl0_60
| spl0_61
| ~ spl0_148 ),
inference(sat_conversion,[],[f20265]) ).
cnf(s1120,plain,
( ~ spl0_7
| ~ spl0_215
| spl0_235
| spl0_242 ),
inference(sat_conversion,[],[f20366]) ).
cnf(s1141,plain,
( ~ spl0_210
| ~ spl0_213
| ~ spl0_285
| ~ spl0_297 ),
inference(sat_conversion,[],[f20589]) ).
cnf(s1163,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_98
| ~ spl0_212
| ~ spl0_311 ),
inference(sat_conversion,[],[f20825]) ).
cnf(s1164,plain,
( ~ spl0_11
| ~ spl0_212
| spl0_234
| spl0_310 ),
inference(sat_conversion,[],[f20828]) ).
cnf(s1177,plain,
( ~ spl0_21
| ~ spl0_25
| ~ spl0_28
| ~ spl0_62
| spl0_224
| ~ spl0_356 ),
inference(sat_conversion,[],[f20947]) ).
cnf(s1178,plain,
( spl0_224
| ~ spl0_356
| spl0_381 ),
inference(sat_conversion,[],[f20951]) ).
cnf(s1181,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_98
| ~ spl0_224 ),
inference(sat_conversion,[],[f21004]) ).
cnf(s1185,plain,
( ~ spl0_93
| ~ spl0_98
| ~ spl0_224
| ~ spl0_240 ),
inference(sat_conversion,[],[f21009]) ).
cnf(s1186,plain,
( spl0_75
| spl0_341
| ~ spl0_366 ),
inference(sat_conversion,[],[f21047]) ).
cnf(s1189,plain,
( spl0_43
| spl0_308
| ~ spl0_366 ),
inference(sat_conversion,[],[f21051]) ).
cnf(s1190,plain,
( spl0_75
| spl0_234
| ~ spl0_294 ),
inference(sat_conversion,[],[f21109]) ).
cnf(s1191,plain,
( spl0_132
| spl0_224
| ~ spl0_294 ),
inference(sat_conversion,[],[f21126]) ).
cnf(s1195,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_25
| spl0_193 ),
inference(sat_conversion,[],[f21144]) ).
cnf(s1197,plain,
( ~ spl0_55
| spl0_85
| spl0_384 ),
inference(sat_conversion,[],[f21150]) ).
cnf(s1199,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_25
| ~ spl0_311
| ~ spl0_337 ),
inference(sat_conversion,[],[f21156]) ).
cnf(s1200,plain,
( ~ spl0_55
| spl0_62
| spl0_371 ),
inference(sat_conversion,[],[f21157]) ).
cnf(s1209,plain,
( spl0_64
| ~ spl0_83
| spl0_394 ),
inference(sat_conversion,[],[f21195]) ).
cnf(s1212,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_25
| ~ spl0_242
| ~ spl0_244 ),
inference(sat_conversion,[],[f21205]) ).
cnf(s1213,plain,
( ~ spl0_21
| spl0_66
| spl0_85
| spl0_214 ),
inference(sat_conversion,[],[f21206]) ).
cnf(s1216,plain,
( spl0_62
| ~ spl0_83
| spl0_398 ),
inference(sat_conversion,[],[f21216]) ).
cnf(s1217,plain,
( ~ spl0_83
| spl0_85
| spl0_399 ),
inference(sat_conversion,[],[f21220]) ).
cnf(s1220,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_25
| ~ spl0_98
| spl0_234 ),
inference(sat_conversion,[],[f21226]) ).
cnf(s1223,plain,
( spl0_61
| spl0_62
| spl0_79 ),
inference(sat_conversion,[],[f21229]) ).
cnf(s1227,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_25
| spl0_308
| ~ spl0_311 ),
inference(sat_conversion,[],[f21235]) ).
cnf(s1229,plain,
( ~ spl0_18
| spl0_65
| spl0_66
| ~ spl0_79
| ~ spl0_81
| ~ spl0_157 ),
inference(sat_conversion,[],[f21237]) ).
cnf(s1230,plain,
( ~ spl0_18
| ~ spl0_21
| spl0_66
| ~ spl0_79
| spl0_85
| ~ spl0_157 ),
inference(sat_conversion,[],[f21238]) ).
cnf(s1506,plain,
( spl0_37
| ~ spl0_384 ),
inference(sat_conversion,[],[f23170]) ).
cnf(s1507,plain,
( spl0_14
| ~ spl0_384 ),
inference(sat_conversion,[],[f23171]) ).
cnf(s1510,plain,
( ~ spl0_193
| spl0_236 ),
inference(sat_conversion,[],[f23199]) ).
cnf(s1516,plain,
( ~ spl0_11
| ~ spl0_60
| spl0_64
| spl0_93 ),
inference(sat_conversion,[],[f23267]) ).
cnf(s1517,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_60
| spl0_93 ),
inference(sat_conversion,[],[f23271]) ).
cnf(s1521,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_60
| spl0_64 ),
inference(sat_conversion,[],[f23278]) ).
cnf(s1525,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_60
| spl0_62 ),
inference(sat_conversion,[],[f23282]) ).
cnf(s1528,plain,
( ~ spl0_17
| spl0_60
| spl0_61
| spl0_386 ),
inference(sat_conversion,[],[f23319]) ).
cnf(s1533,plain,
( spl0_56
| spl0_65
| spl0_66 ),
inference(sat_conversion,[],[f23341]) ).
cnf(s1540,plain,
( ~ spl0_64
| ~ spl0_65
| ~ spl0_70 ),
inference(sat_conversion,[],[f23376]) ).
cnf(s1542,plain,
( spl0_64
| spl0_81 ),
inference(sat_conversion,[],[f23383]) ).
cnf(s1544,plain,
( ~ spl0_64
| spl0_162 ),
inference(sat_conversion,[],[f23389]) ).
cnf(s1545,plain,
( ~ spl0_7
| spl0_62
| spl0_85 ),
inference(sat_conversion,[],[f23396]) ).
cnf(s1549,plain,
( spl0_249
| ~ spl0_397 ),
inference(sat_conversion,[],[f23439]) ).
cnf(s1635,plain,
( ~ spl0_166
| ~ spl0_244
| ~ spl0_293 ),
inference(sat_conversion,[],[f24347]) ).
cnf(s1638,plain,
( ~ spl0_16
| ~ spl0_85
| ~ spl0_391 ),
inference(sat_conversion,[],[f24458]) ).
cnf(s1644,plain,
( spl0_33
| ~ spl0_371 ),
inference(sat_conversion,[],[f24526]) ).
cnf(s1649,plain,
( ~ spl0_213
| spl0_282
| ~ spl0_321 ),
inference(sat_conversion,[],[f24618]) ).
cnf(s1656,plain,
( ~ spl0_85
| ~ spl0_132
| ~ spl0_274 ),
inference(sat_conversion,[],[f24752]) ).
cnf(s1659,plain,
( ~ spl0_16
| ~ spl0_64
| ~ spl0_85
| ~ spl0_132
| ~ spl0_240 ),
inference(sat_conversion,[],[f24761]) ).
cnf(s1660,plain,
( ~ spl0_64
| ~ spl0_132
| ~ spl0_267
| spl0_391 ),
inference(sat_conversion,[],[f24763]) ).
cnf(s1664,plain,
( ~ spl0_216
| ~ spl0_219
| ~ spl0_292
| ~ spl0_294 ),
inference(sat_conversion,[],[f24862]) ).
cnf(s1666,plain,
( ~ spl0_16
| ~ spl0_64
| ~ spl0_85
| ~ spl0_240
| ~ spl0_259 ),
inference(sat_conversion,[],[f24895]) ).
cnf(s1676,plain,
( spl0_240
| ~ spl0_294
| spl0_381 ),
inference(sat_conversion,[],[f24906]) ).
cnf(s1679,plain,
( spl0_43
| ~ spl0_53
| spl0_64 ),
inference(sat_conversion,[],[f24909]) ).
cnf(s1692,plain,
( ~ spl0_11
| spl0_234
| spl0_240 ),
inference(sat_conversion,[],[f24955]) ).
cnf(s1695,plain,
( ~ spl0_7
| spl0_242
| spl0_244 ),
inference(sat_conversion,[],[f24995]) ).
cnf(s1696,plain,
( spl0_1
| spl0_28 ),
inference(sat_conversion,[],[f24997]) ).
cnf(s1705,plain,
( ~ spl0_2
| spl0_308
| spl0_325
| ~ spl0_335 ),
inference(sat_conversion,[],[f25048]) ).
cnf(s1708,plain,
( ~ spl0_2
| ~ spl0_25
| ~ spl0_220
| spl0_234
| ~ spl0_236
| ~ spl0_242 ),
inference(sat_conversion,[],[f25074]) ).
cnf(s1721,plain,
( ~ spl0_210
| ~ spl0_280
| spl0_362 ),
inference(sat_conversion,[],[f25255]) ).
cnf(s1722,plain,
( ~ spl0_216
| spl0_261
| ~ spl0_280 ),
inference(sat_conversion,[],[f25257]) ).
cnf(s1724,plain,
( spl0_43
| spl0_234
| ~ spl0_280 ),
inference(sat_conversion,[],[f25259]) ).
cnf(s1729,plain,
( ~ spl0_2
| ~ spl0_25
| ~ spl0_222
| ~ spl0_236
| ~ spl0_242
| spl0_308 ),
inference(sat_conversion,[],[f25332]) ).
cnf(s1734,plain,
( spl0_41
| spl0_234
| ~ spl0_356 ),
inference(sat_conversion,[],[f25413]) ).
cnf(s1737,plain,
( ~ spl0_63
| ~ spl0_236
| ~ spl0_244
| ~ spl0_293 ),
inference(sat_conversion,[],[f25418]) ).
cnf(s1742,plain,
( ~ spl0_39
| ~ spl0_218
| spl0_227
| spl0_409 ),
inference(sat_conversion,[],[f25424]) ).
cnf(s1825,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_98
| ~ spl0_234
| ~ spl0_240 ),
inference(sat_conversion,[],[f26011]) ).
cnf(s1829,plain,
( ~ spl0_7
| ~ spl0_16
| spl0_62
| ~ spl0_236
| ~ spl0_244
| ~ spl0_293 ),
inference(sat_conversion,[],[f26016]) ).
cnf(s1830,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_242
| ~ spl0_293 ),
inference(sat_conversion,[],[f26028]) ).
cnf(s1836,plain,
( spl0_57
| spl0_60
| spl0_61 ),
inference(sat_conversion,[],[f26040]) ).
cnf(s1841,plain,
( ~ spl0_12
| ~ spl0_264
| ~ spl0_302 ),
inference(sat_conversion,[],[f26119]) ).
cnf(s1843,plain,
( ~ spl0_7
| spl0_98
| ~ spl0_253
| spl0_274 ),
inference(sat_conversion,[],[f26201]) ).
cnf(s1845,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_98
| ~ spl0_220
| ~ spl0_242 ),
inference(sat_conversion,[],[f26204]) ).
cnf(s1850,plain,
( ~ spl0_25
| ~ spl0_62
| ~ spl0_391 ),
inference(sat_conversion,[],[f26270]) ).
cnf(s1851,plain,
( ~ spl0_11
| spl0_64
| spl0_85 ),
inference(sat_conversion,[],[f26273]) ).
cnf(s1856,plain,
( spl0_51
| spl0_386 ),
inference(sat_conversion,[],[f26367]) ).
cnf(s1858,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| ~ spl0_98
| ~ spl0_132 ),
inference(sat_conversion,[],[f26392]) ).
cnf(s1866,plain,
( ~ spl0_7
| spl0_62
| ~ spl0_65
| spl0_166 ),
inference(sat_conversion,[],[f26434]) ).
cnf(s1869,plain,
( ~ spl0_7
| spl0_62
| ~ spl0_224
| spl0_275 ),
inference(sat_conversion,[],[f26491]) ).
cnf(s1873,plain,
( ~ spl0_11
| spl0_64
| ~ spl0_224
| spl0_275 ),
inference(sat_conversion,[],[f26500]) ).
cnf(s1875,plain,
( ~ spl0_2
| spl0_64
| ~ spl0_65
| spl0_93 ),
inference(sat_conversion,[],[f26503]) ).
cnf(s1882,plain,
( ~ spl0_9
| spl0_244
| ~ spl0_261 ),
inference(sat_conversion,[],[f26638]) ).
cnf(s1890,plain,
( ~ spl0_166
| ~ spl0_337
| ~ spl0_341 ),
inference(sat_conversion,[],[f26751]) ).
cnf(s1891,plain,
( ~ spl0_11
| ~ spl0_166
| spl0_308
| ~ spl0_341 ),
inference(sat_conversion,[],[f26758]) ).
cnf(s2014,plain,
( ~ spl0_9
| ~ spl0_18
| ~ spl0_396 ),
inference(sat_conversion,[],[f27577]) ).
cnf(s2020,plain,
( ~ spl0_56
| ~ spl0_84
| ~ spl0_399 ),
inference(sat_conversion,[],[f27667]) ).
cnf(s2021,plain,
( ~ spl0_56
| ~ spl0_57
| ~ spl0_371 ),
inference(sat_conversion,[],[f27668]) ).
cnf(s2022,plain,
( ~ spl0_56
| ~ spl0_79
| ~ spl0_398 ),
inference(sat_conversion,[],[f27669]) ).
cnf(s2027,plain,
( ~ spl0_92
| ~ spl0_216
| ~ spl0_260
| spl0_293
| ~ spl0_355 ),
inference(sat_conversion,[],[f27675]) ).
cnf(s2028,plain,
( ~ spl0_213
| ~ spl0_260
| spl0_280
| spl0_308 ),
inference(sat_conversion,[],[f27676]) ).
cnf(s2029,plain,
( ~ spl0_51
| ~ spl0_84
| ~ spl0_89 ),
inference(sat_conversion,[],[f27707]) ).
cnf(s2037,plain,
( ~ spl0_39
| spl0_72
| spl0_253
| ~ spl0_355 ),
inference(sat_conversion,[],[f27810]) ).
cnf(s2039,plain,
( ~ spl0_234
| ~ spl0_259
| ~ spl0_391 ),
inference(sat_conversion,[],[f27850]) ).
cnf(s2048,plain,
( ~ spl0_49
| ~ spl0_51
| ~ spl0_57
| ~ spl0_84 ),
inference(sat_conversion,[],[f28022]) ).
cnf(s2049,plain,
( ~ spl0_18
| ~ spl0_19
| spl0_413 ),
inference(sat_conversion,[],[f28039]) ).
cnf(s2050,plain,
( spl0_14
| ~ spl0_19
| spl0_413 ),
inference(sat_conversion,[],[f28041]) ).
cnf(s2051,plain,
( ~ spl0_413
| spl0_422 ),
inference(sat_conversion,[],[f28050]) ).
cnf(s2052,plain,
( ~ spl0_19
| ~ spl0_57
| spl0_259
| ~ spl0_355 ),
inference(sat_conversion,[],[f28075]) ).
cnf(s2053,plain,
( ~ spl0_19
| ~ spl0_57
| ~ spl0_292
| ~ spl0_355 ),
inference(sat_conversion,[],[f28076]) ).
cnf(s2054,plain,
( ~ spl0_19
| ~ spl0_213
| ~ spl0_320
| ~ spl0_355 ),
inference(sat_conversion,[],[f28077]) ).
cnf(s2055,plain,
( ~ spl0_213
| ~ spl0_260
| ~ spl0_362 ),
inference(sat_conversion,[],[f28078]) ).
cnf(s2063,plain,
( ~ spl0_247
| ~ spl0_285
| ~ spl0_292
| ~ spl0_441 ),
inference(sat_conversion,[],[f28099]) ).
cnf(s2064,plain,
( ~ spl0_63
| ~ spl0_224
| ~ spl0_234
| ~ spl0_240 ),
inference(sat_conversion,[],[f28100]) ).
cnf(s2081,plain,
( ~ spl0_236
| ~ spl0_268
| ~ spl0_391 ),
inference(sat_conversion,[],[f28293]) ).
cnf(s2084,plain,
( ~ spl0_64
| ~ spl0_293
| ~ spl0_303 ),
inference(sat_conversion,[],[f28354]) ).
cnf(s2088,plain,
( ~ spl0_51
| ~ spl0_56
| ~ spl0_73
| ~ spl0_79 ),
inference(sat_conversion,[],[f28429]) ).
cnf(s2089,plain,
( ~ spl0_51
| ~ spl0_56
| ~ spl0_72
| ~ spl0_84 ),
inference(sat_conversion,[],[f28447]) ).
cnf(s2095,plain,
( spl0_15
| ~ spl0_59
| spl0_62 ),
inference(sat_conversion,[],[f28508]) ).
cnf(s2096,plain,
( ~ spl0_59
| spl0_85
| spl0_371 ),
inference(sat_conversion,[],[f28509]) ).
cnf(s2098,plain,
( spl0_98
| ~ spl0_285
| ~ spl0_413 ),
inference(sat_conversion,[],[f28512]) ).
cnf(s2197,plain,
( ~ spl0_12
| ~ spl0_262
| ~ spl0_274 ),
inference(sat_conversion,[],[f29022]) ).
cnf(s2203,plain,
( ~ spl0_41
| ~ spl0_51
| ~ spl0_56 ),
inference(sat_conversion,[],[f29109]) ).
cnf(s2209,plain,
( ~ spl0_224
| spl0_225
| ~ spl0_234
| ~ spl0_386 ),
inference(sat_conversion,[],[f29161]) ).
cnf(s2210,plain,
( ~ spl0_272
| spl0_293
| spl0_445 ),
inference(sat_conversion,[],[f29244]) ).
cnf(s2211,plain,
( spl0_244
| ~ spl0_272
| spl0_381 ),
inference(sat_conversion,[],[f29246]) ).
cnf(s2214,plain,
( ~ spl0_215
| spl0_225
| ~ spl0_232
| ~ spl0_234 ),
inference(sat_conversion,[],[f29341]) ).
cnf(s2225,plain,
( spl0_75
| spl0_308
| ~ spl0_323 ),
inference(sat_conversion,[],[f29475]) ).
cnf(s2226,plain,
( ~ spl0_12
| ~ spl0_60
| ~ spl0_262
| ~ spl0_275 ),
inference(sat_conversion,[],[f29496]) ).
cnf(s2228,plain,
( ~ spl0_162
| spl0_223
| ~ spl0_224
| ~ spl0_234 ),
inference(sat_conversion,[],[f29517]) ).
cnf(s2229,plain,
( ~ spl0_224
| ~ spl0_238
| ~ spl0_262 ),
inference(sat_conversion,[],[f29535]) ).
cnf(s2236,plain,
( ~ spl0_215
| ~ spl0_225
| ~ spl0_236 ),
inference(sat_conversion,[],[f29593]) ).
cnf(s2237,plain,
( ~ spl0_64
| ~ spl0_224
| ~ spl0_225 ),
inference(sat_conversion,[],[f29596]) ).
cnf(s2240,plain,
( spl0_75
| spl0_224
| ~ spl0_280 ),
inference(sat_conversion,[],[f29600]) ).
cnf(s2244,plain,
( ~ spl0_16
| ~ spl0_65
| ~ spl0_162
| ~ spl0_386 ),
inference(sat_conversion,[],[f29669]) ).
cnf(s2245,plain,
( ~ spl0_2
| spl0_62
| spl0_64 ),
inference(sat_conversion,[],[f29670]) ).
cnf(s2247,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_62
| spl0_415 ),
inference(sat_conversion,[],[f29684]) ).
cnf(s2248,plain,
( ~ spl0_223
| ~ spl0_234
| ~ spl0_386 ),
inference(sat_conversion,[],[f29714]) ).
cnf(s2251,plain,
( ~ spl0_16
| ~ spl0_65
| spl0_70
| ~ spl0_386 ),
inference(sat_conversion,[],[f29733]) ).
cnf(s2253,plain,
( ~ spl0_56
| ~ spl0_81
| ~ spl0_394 ),
inference(sat_conversion,[],[f29778]) ).
cnf(s2262,plain,
( ~ spl0_211
| spl0_225
| ~ spl0_234
| ~ spl0_340 ),
inference(sat_conversion,[],[f29921]) ).
cnf(s2280,plain,
( spl0_293
| ~ spl0_305
| spl0_381 ),
inference(sat_conversion,[],[f30167]) ).
cnf(s2281,plain,
( spl0_242
| ~ spl0_305
| spl0_371 ),
inference(sat_conversion,[],[f30168]) ).
cnf(s2282,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_244
| ~ spl0_264 ),
inference(sat_conversion,[],[f30214]) ).
cnf(s2287,plain,
( ~ spl0_212
| ~ spl0_311
| ~ spl0_323
| ~ spl0_405
| spl0_445 ),
inference(sat_conversion,[],[f30292]) ).
cnf(s2288,plain,
( spl0_64
| ~ spl0_445 ),
inference(sat_conversion,[],[f30310]) ).
cnf(s2289,plain,
( spl0_132
| ~ spl0_445 ),
inference(sat_conversion,[],[f30311]) ).
cnf(s2290,plain,
( ~ spl0_323
| spl0_341
| spl0_445 ),
inference(sat_conversion,[],[f30312]) ).
cnf(s2293,plain,
( ~ spl0_62
| ~ spl0_237
| ~ spl0_259
| ~ spl0_268 ),
inference(sat_conversion,[],[f30369]) ).
cnf(s2295,plain,
( ~ spl0_94
| ~ spl0_222
| spl0_242
| ~ spl0_337 ),
inference(sat_conversion,[],[f30467]) ).
cnf(s2296,plain,
( ~ spl0_321
| spl0_337
| spl0_371 ),
inference(sat_conversion,[],[f30468]) ).
cnf(s2298,plain,
( ~ spl0_85
| ~ spl0_235
| ~ spl0_259
| ~ spl0_268 ),
inference(sat_conversion,[],[f30508]) ).
cnf(s2299,plain,
( ~ spl0_85
| spl0_88
| ~ spl0_253
| ~ spl0_259 ),
inference(sat_conversion,[],[f30544]) ).
cnf(s2300,plain,
( ~ spl0_12
| ~ spl0_62
| ~ spl0_88 ),
inference(sat_conversion,[],[f30570]) ).
cnf(s2304,plain,
( ~ spl0_41
| ~ spl0_260
| ~ spl0_355 ),
inference(sat_conversion,[],[f30618]) ).
cnf(s2305,plain,
( ~ spl0_284
| ~ spl0_355
| ~ spl0_399 ),
inference(sat_conversion,[],[f30619]) ).
cnf(s2307,plain,
( ~ spl0_59
| spl0_282
| ~ spl0_292 ),
inference(sat_conversion,[],[f30692]) ).
cnf(s2309,plain,
( ~ spl0_75
| ~ spl0_260
| ~ spl0_292 ),
inference(sat_conversion,[],[f30697]) ).
cnf(s2314,plain,
( ~ spl0_45
| ~ spl0_62
| ~ spl0_386 ),
inference(sat_conversion,[],[f30737]) ).
cnf(s2316,plain,
( spl0_41
| ~ spl0_55
| spl0_64 ),
inference(sat_conversion,[],[f30741]) ).
cnf(s2317,plain,
( spl0_240
| spl0_284 ),
inference(sat_conversion,[],[f30755]) ).
cnf(s2320,plain,
( spl0_61
| spl0_240
| spl0_284 ),
inference(sat_conversion,[],[f30763]) ).
cnf(s2321,plain,
( ~ spl0_39
| ~ spl0_56
| spl0_65
| spl0_72 ),
inference(sat_conversion,[],[f30764]) ).
cnf(s2325,plain,
( ~ spl0_39
| spl0_72
| spl0_253
| ~ spl0_355 ),
inference(sat_conversion,[],[f30878]) ).
cnf(s2331,plain,
( ~ spl0_219
| spl0_264
| spl0_289 ),
inference(sat_conversion,[],[f30979]) ).
cnf(s2336,plain,
( ~ spl0_1
| ~ spl0_18
| spl0_60
| ~ spl0_124 ),
inference(sat_conversion,[],[f31054]) ).
cnf(s2338,plain,
( spl0_240
| ~ spl0_356
| spl0_384 ),
inference(sat_conversion,[],[f31078]) ).
cnf(s2344,plain,
( spl0_17
| ~ spl0_59
| spl0_64 ),
inference(sat_conversion,[],[f31093]) ).
cnf(s2349,plain,
( ~ spl0_62
| ~ spl0_224
| spl0_405 ),
inference(sat_conversion,[],[f31170]) ).
cnf(s2351,plain,
( ~ spl0_260
| ~ spl0_292
| ~ spl0_431
| spl0_446 ),
inference(sat_conversion,[],[f31216]) ).
cnf(s2361,plain,
( ~ spl0_18
| spl0_62
| ~ spl0_432
| spl0_451 ),
inference(sat_conversion,[],[f31237]) ).
cnf(s2366,plain,
( ~ spl0_28
| ~ spl0_64
| ~ spl0_415 ),
inference(sat_conversion,[],[f31255]) ).
cnf(s2368,plain,
( spl0_41
| spl0_308
| ~ spl0_360 ),
inference(sat_conversion,[],[f31411]) ).
cnf(s2369,plain,
( ~ spl0_16
| ~ spl0_65
| ~ spl0_162
| ~ spl0_224
| ~ spl0_253 ),
inference(sat_conversion,[],[f31476]) ).
cnf(s2370,plain,
( ~ spl0_9
| ~ spl0_284
| spl0_399
| ~ spl0_450 ),
inference(sat_conversion,[],[f31495]) ).
cnf(s2371,plain,
( ~ spl0_9
| spl0_240
| spl0_399
| ~ spl0_450 ),
inference(sat_conversion,[],[f31498]) ).
cnf(s2372,plain,
( ~ spl0_51
| spl0_224
| ~ spl0_450
| spl0_453 ),
inference(sat_conversion,[],[f31502]) ).
cnf(s2373,plain,
( ~ spl0_284
| ~ spl0_292
| ~ spl0_453 ),
inference(sat_conversion,[],[f31536]) ).
cnf(s2374,plain,
( ~ spl0_220
| spl0_233
| ~ spl0_234 ),
inference(sat_conversion,[],[f31660]) ).
cnf(s2375,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_234
| ~ spl0_253
| ~ spl0_262 ),
inference(sat_conversion,[],[f31684]) ).
cnf(s2376,plain,
( ~ spl0_64
| ~ spl0_85
| ~ spl0_234
| ~ spl0_253
| ~ spl0_259 ),
inference(sat_conversion,[],[f31686]) ).
cnf(s2377,plain,
( ~ spl0_1
| ~ spl0_18
| spl0_324
| ~ spl0_409 ),
inference(sat_conversion,[],[f31692]) ).
cnf(s2378,plain,
( ~ spl0_1
| spl0_98
| ~ spl0_450
| spl0_451 ),
inference(sat_conversion,[],[f31693]) ).
cnf(s2379,plain,
( ~ spl0_1
| ~ spl0_18
| spl0_264
| ~ spl0_411 ),
inference(sat_conversion,[],[f31694]) ).
cnf(s2380,plain,
( ~ spl0_84
| spl0_224
| ~ spl0_446 ),
inference(sat_conversion,[],[f31695]) ).
cnf(s2381,plain,
( ~ spl0_12
| ~ spl0_60
| ~ spl0_166 ),
inference(sat_conversion,[],[f31725]) ).
cnf(s2384,plain,
( spl0_240
| spl0_284 ),
inference(sat_conversion,[],[f31780]) ).
cnf(s2388,plain,
( ~ spl0_179
| ~ spl0_260
| ~ spl0_355
| spl0_454 ),
inference(sat_conversion,[],[f31841]) ).
cnf(s2390,plain,
( ~ spl0_249
| spl0_308
| spl0_340 ),
inference(sat_conversion,[],[f31849]) ).
cnf(s2391,plain,
( ~ spl0_1
| ~ spl0_157
| spl0_455 ),
inference(sat_conversion,[],[f31854]) ).
cnf(s2392,plain,
( ~ spl0_71
| ~ spl0_260
| ~ spl0_355
| ~ spl0_441 ),
inference(sat_conversion,[],[f31856]) ).
cnf(s2393,plain,
( ~ spl0_57
| ~ spl0_84
| ~ spl0_451 ),
inference(sat_conversion,[],[f31875]) ).
cnf(s2396,plain,
( ~ spl0_12
| ~ spl0_65
| ~ spl0_238 ),
inference(sat_conversion,[],[f31913]) ).
cnf(s2412,plain,
( ~ spl0_25
| ~ spl0_238
| ~ spl0_386 ),
inference(sat_conversion,[],[f31968]) ).
cnf(s2415,plain,
( ~ spl0_18
| ~ spl0_56
| ~ spl0_57
| spl0_59 ),
inference(sat_conversion,[],[f32015]) ).
cnf(s2421,plain,
( ~ spl0_62
| ~ spl0_259
| ~ spl0_309
| ~ spl0_319 ),
inference(sat_conversion,[],[f32146]) ).
cnf(s2431,plain,
( ~ spl0_221
| spl0_242
| ~ spl0_320
| spl0_321 ),
inference(sat_conversion,[],[f32279]) ).
cnf(s2432,plain,
( ~ spl0_3
| ~ spl0_221
| spl0_264
| ~ spl0_338 ),
inference(sat_conversion,[],[f32312]) ).
cnf(s2435,plain,
( ~ spl0_3
| ~ spl0_9
| spl0_60
| ~ spl0_84 ),
inference(sat_conversion,[],[f32321]) ).
cnf(s2438,plain,
( spl0_267
| ~ spl0_435
| spl0_459 ),
inference(sat_conversion,[],[f32331]) ).
cnf(s2440,plain,
( ~ spl0_355
| ~ spl0_384 ),
inference(sat_conversion,[],[f32343]) ).
cnf(s2442,plain,
( spl0_262
| ~ spl0_435
| spl0_460 ),
inference(sat_conversion,[],[f32354]) ).
cnf(s2443,plain,
( spl0_253
| ~ spl0_435
| spl0_461 ),
inference(sat_conversion,[],[f32362]) ).
cnf(s2461,plain,
( ~ spl0_16
| ~ spl0_65
| ~ spl0_162
| spl0_462 ),
inference(sat_conversion,[],[f32432]) ).
cnf(s2467,plain,
( spl0_66
| spl0_84
| spl0_85 ),
inference(sat_conversion,[],[f32446]) ).
cnf(s2470,plain,
( ~ spl0_182
| spl0_259
| ~ spl0_285 ),
inference(sat_conversion,[],[f32487]) ).
cnf(s2471,plain,
( ~ spl0_23
| spl0_253
| ~ spl0_285
| spl0_297 ),
inference(sat_conversion,[],[f32488]) ).
cnf(s2475,plain,
( ~ spl0_3
| ~ spl0_285
| spl0_295 ),
inference(sat_conversion,[],[f32494]) ).
cnf(s2477,plain,
( ~ spl0_17
| ~ spl0_260
| ~ spl0_285 ),
inference(sat_conversion,[],[f32516]) ).
cnf(s2490,plain,
( spl0_98
| spl0_419 ),
inference(sat_conversion,[],[f32586]) ).
cnf(s2496,plain,
( ~ spl0_14
| ~ spl0_25
| ~ spl0_70 ),
inference(sat_conversion,[],[f32660]) ).
cnf(s2568,plain,
( spl0_13
| spl0_219
| spl0_220 ),
inference(sat_conversion,[],[f33247]) ).
cnf(s2570,plain,
( ~ spl0_14
| ~ spl0_85
| ~ spl0_415 ),
inference(sat_conversion,[],[f33335]) ).
cnf(s2571,plain,
( ~ spl0_11
| ~ spl0_14
| spl0_64
| ~ spl0_415 ),
inference(sat_conversion,[],[f33337]) ).
cnf(s2573,plain,
( ~ spl0_25
| ~ spl0_234
| ~ spl0_262
| ~ spl0_267 ),
inference(sat_conversion,[],[f33361]) ).
cnf(s2575,plain,
( ~ spl0_72
| ~ spl0_260
| ~ spl0_284
| ~ spl0_355 ),
inference(sat_conversion,[],[f33366]) ).
cnf(s2578,plain,
( ~ spl0_16
| ~ spl0_386
| ~ spl0_462 ),
inference(sat_conversion,[],[f33399]) ).
cnf(s2579,plain,
( ~ spl0_9
| spl0_64
| ~ spl0_453 ),
inference(sat_conversion,[],[f33417]) ).
cnf(s2580,plain,
( ~ spl0_3
| ~ spl0_219
| ~ spl0_260
| spl0_264 ),
inference(sat_conversion,[],[f33448]) ).
cnf(s2585,plain,
( ~ spl0_39
| ~ spl0_219
| spl0_253
| spl0_411 ),
inference(sat_conversion,[],[f33454]) ).
cnf(s2598,plain,
( spl0_156
| ~ spl0_416 ),
inference(sat_conversion,[],[f33588]) ).
cnf(s2614,plain,
( ~ spl0_220
| ~ spl0_242
| ~ spl0_293
| ~ spl0_405 ),
inference(sat_conversion,[],[f33725]) ).
cnf(s2616,plain,
( spl0_13
| spl0_215
| spl0_216 ),
inference(sat_conversion,[],[f33728]) ).
cnf(s2627,plain,
( spl0_13
| spl0_56
| spl0_65 ),
inference(sat_conversion,[],[f33768]) ).
cnf(s2633,plain,
( ~ spl0_39
| spl0_97
| ~ spl0_216
| spl0_227 ),
inference(sat_conversion,[],[f33945]) ).
cnf(s2636,plain,
( ~ spl0_216
| spl0_266
| spl0_267 ),
inference(sat_conversion,[],[f33955]) ).
cnf(s2642,plain,
( ~ spl0_114
| spl0_311
| spl0_312
| spl0_340 ),
inference(sat_conversion,[],[f34027]) ).
cnf(s2643,plain,
( spl0_98
| ~ spl0_114
| spl0_226
| spl0_267 ),
inference(sat_conversion,[],[f34029]) ).
cnf(s2644,plain,
( spl0_61
| spl0_62
| ~ spl0_114
| spl0_386 ),
inference(sat_conversion,[],[f34031]) ).
cnf(s2645,plain,
( spl0_13
| spl0_14
| spl0_38
| ~ spl0_114 ),
inference(sat_conversion,[],[f34033]) ).
cnf(s2646,plain,
( ~ spl0_211
| ~ spl0_223
| ~ spl0_341 ),
inference(sat_conversion,[],[f34070]) ).
cnf(s2647,plain,
( ~ spl0_65
| ~ spl0_223
| ~ spl0_240 ),
inference(sat_conversion,[],[f34072]) ).
cnf(s2650,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_25
| spl0_236
| ~ spl0_242 ),
inference(sat_conversion,[],[f34076]) ).
cnf(s2653,plain,
( ~ spl0_80
| spl0_85
| spl0_451 ),
inference(sat_conversion,[],[f34149]) ).
cnf(s2654,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_25
| ~ spl0_62
| ~ spl0_65 ),
inference(sat_conversion,[],[f34160]) ).
cnf(s2660,plain,
( ~ spl0_29
| spl0_49
| ~ spl0_56
| spl0_60 ),
inference(sat_conversion,[],[f34207]) ).
cnf(s2663,plain,
( ~ spl0_126
| spl0_133
| spl0_259
| ~ spl0_355 ),
inference(sat_conversion,[],[f34298]) ).
cnf(s2665,plain,
( spl0_13
| spl0_84
| spl0_85 ),
inference(sat_conversion,[],[f34313]) ).
cnf(s2673,plain,
( ~ spl0_260
| ~ spl0_292
| ~ spl0_419
| ~ spl0_460 ),
inference(sat_conversion,[],[f34375]) ).
cnf(s2676,plain,
( ~ spl0_57
| ~ spl0_80
| spl0_259
| ~ spl0_292 ),
inference(sat_conversion,[],[f34423]) ).
cnf(s2679,plain,
( ~ spl0_11
| ~ spl0_215
| spl0_235
| spl0_236 ),
inference(sat_conversion,[],[f34426]) ).
cnf(s2680,plain,
( ~ spl0_11
| ~ spl0_16
| ~ spl0_215
| ~ spl0_234
| spl0_236
| ~ spl0_240 ),
inference(sat_conversion,[],[f34429]) ).
cnf(s2693,plain,
( ~ spl0_81
| ~ spl0_84
| ~ spl0_251
| spl0_386 ),
inference(sat_conversion,[],[f34541]) ).
cnf(s2697,plain,
( ~ spl0_11
| spl0_64
| ~ spl0_65
| spl0_166 ),
inference(sat_conversion,[],[f34559]) ).
cnf(s2698,plain,
( ~ spl0_62
| ~ spl0_64
| ~ spl0_234
| ~ spl0_259
| ~ spl0_262 ),
inference(sat_conversion,[],[f34560]) ).
cnf(s2700,plain,
( ~ spl0_10
| spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f34644]) ).
cnf(s2701,plain,
( ~ spl0_10
| spl0_295
| ~ spl0_355 ),
inference(sat_conversion,[],[f34646]) ).
cnf(s2702,plain,
( ~ spl0_10
| spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f34647]) ).
cnf(s2713,plain,
( ~ spl0_16
| ~ spl0_220
| ~ spl0_236
| ~ spl0_240
| ~ spl0_244 ),
inference(sat_conversion,[],[f34831]) ).
cnf(s2714,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_25
| ~ spl0_240
| ~ spl0_262 ),
inference(sat_conversion,[],[f34833]) ).
cnf(s2715,plain,
( ~ spl0_16
| ~ spl0_212
| ~ spl0_240
| ~ spl0_308
| ~ spl0_337 ),
inference(sat_conversion,[],[f34835]) ).
cnf(s2716,plain,
( ~ spl0_29
| spl0_49
| spl0_262
| ~ spl0_355 ),
inference(sat_conversion,[],[f34836]) ).
cnf(s2718,plain,
( ~ spl0_79
| spl0_224
| ~ spl0_454 ),
inference(sat_conversion,[],[f34838]) ).
cnf(s2720,plain,
( ~ spl0_18
| spl0_240
| ~ spl0_454 ),
inference(sat_conversion,[],[f34840]) ).
cnf(s2721,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_62
| ~ spl0_64
| ~ spl0_85 ),
inference(sat_conversion,[],[f34841]) ).
cnf(s2735,plain,
( ~ spl0_126
| spl0_134
| spl0_259
| ~ spl0_285 ),
inference(sat_conversion,[],[f34987]) ).
cnf(s2738,plain,
( ~ spl0_12
| ~ spl0_16
| ~ spl0_236
| ~ spl0_242
| ~ spl0_244 ),
inference(sat_conversion,[],[f34993]) ).
cnf(s2743,plain,
( ~ spl0_15
| ~ spl0_285 ),
inference(sat_conversion,[],[f35020]) ).
cnf(s2747,plain,
( ~ spl0_5
| spl0_13
| spl0_14
| spl0_476 ),
inference(sat_conversion,[],[f35030]) ).
cnf(s2748,plain,
( ~ spl0_5
| spl0_61
| spl0_62
| spl0_209 ),
inference(sat_conversion,[],[f35031]) ).
cnf(s2749,plain,
( ~ spl0_39
| spl0_73
| spl0_253
| ~ spl0_285 ),
inference(sat_conversion,[],[f35032]) ).
cnf(s2754,plain,
( spl0_9
| spl0_38 ),
inference(sat_conversion,[],[f35044]) ).
cnf(s2756,plain,
( spl0_9
| spl0_38 ),
inference(sat_conversion,[],[f35049]) ).
cnf(s2758,plain,
( ~ spl0_16
| ~ spl0_38
| spl0_167 ),
inference(sat_conversion,[],[f35060]) ).
cnf(s2759,plain,
( ~ spl0_38
| spl0_159 ),
inference(sat_conversion,[],[f35061]) ).
cnf(s2765,plain,
( ~ spl0_14
| ~ spl0_38
| ~ spl0_45 ),
inference(sat_conversion,[],[f35145]) ).
cnf(s2766,plain,
( ~ spl0_50
| spl0_98 ),
inference(sat_conversion,[],[f35155]) ).
cnf(s2775,plain,
( ~ spl0_167
| ~ spl0_308
| ~ spl0_337 ),
inference(sat_conversion,[],[f35254]) ).
cnf(s2781,plain,
( spl0_25
| ~ spl0_148 ),
inference(sat_conversion,[],[f35299]) ).
cnf(s2782,plain,
( ~ spl0_167
| ~ spl0_234
| ~ spl0_240 ),
inference(sat_conversion,[],[f35311]) ).
cnf(s2784,plain,
( ~ spl0_51
| ~ spl0_261
| spl0_293 ),
inference(sat_conversion,[],[f35446]) ).
cnf(s2785,plain,
( ~ spl0_28
| ~ spl0_234
| ~ spl0_444 ),
inference(sat_conversion,[],[f35476]) ).
cnf(s2786,plain,
( ~ spl0_14
| ~ spl0_240
| ~ spl0_444 ),
inference(sat_conversion,[],[f35478]) ).
cnf(s2787,plain,
( ~ spl0_211
| ~ spl0_311
| ~ spl0_444 ),
inference(sat_conversion,[],[f35480]) ).
cnf(s2788,plain,
( ~ spl0_62
| ~ spl0_224
| ~ spl0_444 ),
inference(sat_conversion,[],[f35482]) ).
cnf(s2791,plain,
( ~ spl0_30
| ~ spl0_274 ),
inference(sat_conversion,[],[f35535]) ).
cnf(s2792,plain,
( ~ spl0_222
| ~ spl0_311
| ~ spl0_474 ),
inference(sat_conversion,[],[f35545]) ).
cnf(s2793,plain,
( ~ spl0_14
| ~ spl0_244
| ~ spl0_474 ),
inference(sat_conversion,[],[f35547]) ).
cnf(s2797,plain,
( ~ spl0_217
| ~ spl0_242
| ~ spl0_472 ),
inference(sat_conversion,[],[f35594]) ).
cnf(s2798,plain,
( ~ spl0_14
| ~ spl0_337
| ~ spl0_472 ),
inference(sat_conversion,[],[f35596]) ).
cnf(s2805,plain,
( ~ spl0_159
| spl0_225
| ~ spl0_234
| ~ spl0_240 ),
inference(sat_conversion,[],[f35698]) ).
cnf(s2811,plain,
( ~ spl0_28
| ~ spl0_30
| spl0_45
| ~ spl0_267 ),
inference(sat_conversion,[],[f35776]) ).
cnf(s2815,plain,
( ~ spl0_45
| ~ spl0_232
| ~ spl0_242 ),
inference(sat_conversion,[],[f35793]) ).
cnf(s2822,plain,
( ~ spl0_227
| ~ spl0_242
| ~ spl0_402 ),
inference(sat_conversion,[],[f35828]) ).
cnf(s2823,plain,
( ~ spl0_16
| ~ spl0_28
| ~ spl0_402 ),
inference(sat_conversion,[],[f35830]) ).
cnf(s2824,plain,
( ~ spl0_62
| ~ spl0_65
| ~ spl0_402 ),
inference(sat_conversion,[],[f35832]) ).
cnf(s2828,plain,
( ~ spl0_242
| ~ spl0_268
| ~ spl0_415 ),
inference(sat_conversion,[],[f35862]) ).
cnf(s2836,plain,
( ~ spl0_210
| ~ spl0_295
| ~ spl0_338 ),
inference(sat_conversion,[],[f35949]) ).
cnf(s2845,plain,
( spl0_337
| ~ spl0_360
| spl0_384 ),
inference(sat_conversion,[],[f36066]) ).
cnf(s2846,plain,
( ~ spl0_12
| ~ spl0_14
| spl0_67 ),
inference(sat_conversion,[],[f36072]) ).
cnf(s2847,plain,
( ~ spl0_14
| ~ spl0_60
| ~ spl0_65
| spl0_402 ),
inference(sat_conversion,[],[f36084]) ).
cnf(s2853,plain,
( spl0_249
| ~ spl0_481 ),
inference(sat_conversion,[],[f36174]) ).
cnf(s2855,plain,
( spl0_5
| spl0_25 ),
inference(sat_conversion,[],[f36181]) ).
cnf(s2856,plain,
( spl0_5
| spl0_25 ),
inference(sat_conversion,[],[f36184]) ).
cnf(s2858,plain,
( ~ spl0_212
| ~ spl0_234
| ~ spl0_267
| ~ spl0_308 ),
inference(sat_conversion,[],[f36186]) ).
cnf(s2861,plain,
( spl0_262
| ~ spl0_419
| spl0_482 ),
inference(sat_conversion,[],[f36193]) ).
cnf(s2862,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_65
| ~ spl0_84 ),
inference(sat_conversion,[],[f36194]) ).
cnf(s2863,plain,
( spl0_224
| spl0_414 ),
inference(sat_conversion,[],[f36195]) ).
cnf(s2868,plain,
( spl0_13
| spl0_224
| spl0_414 ),
inference(sat_conversion,[],[f36204]) ).
cnf(s2871,plain,
( spl0_66
| spl0_224
| spl0_414 ),
inference(sat_conversion,[],[f36206]) ).
cnf(s2873,plain,
( ~ spl0_10
| ~ spl0_218
| ~ spl0_270
| spl0_335 ),
inference(sat_conversion,[],[f36208]) ).
cnf(s2884,plain,
( ~ spl0_62
| ~ spl0_67
| ~ spl0_85 ),
inference(sat_conversion,[],[f36262]) ).
cnf(s2907,plain,
( spl0_226
| spl0_262
| ~ spl0_419
| ~ spl0_422 ),
inference(sat_conversion,[],[f36555]) ).
cnf(s2913,plain,
( ~ spl0_5
| spl0_64
| spl0_89
| ~ spl0_478 ),
inference(sat_conversion,[],[f36657]) ).
cnf(s2917,plain,
( ~ spl0_5
| ~ spl0_81
| spl0_340
| ~ spl0_345 ),
inference(sat_conversion,[],[f36729]) ).
cnf(s2918,plain,
( ~ spl0_38
| ~ spl0_232
| ~ spl0_288
| ~ spl0_386 ),
inference(sat_conversion,[],[f36741]) ).
cnf(s2920,plain,
( ~ spl0_14
| ~ spl0_227
| ~ spl0_264
| spl0_402 ),
inference(sat_conversion,[],[f36771]) ).
cnf(s2921,plain,
( ~ spl0_62
| ~ spl0_264
| ~ spl0_268
| spl0_415 ),
inference(sat_conversion,[],[f36772]) ).
cnf(s2922,plain,
( ~ spl0_216
| ~ spl0_255
| ~ spl0_482
| spl0_485 ),
inference(sat_conversion,[],[f36776]) ).
cnf(s2925,plain,
( ~ spl0_79
| spl0_293
| ~ spl0_485 ),
inference(sat_conversion,[],[f36798]) ).
cnf(s2930,plain,
( spl0_244
| ~ spl0_256
| spl0_371 ),
inference(sat_conversion,[],[f36857]) ).
cnf(s2931,plain,
( spl0_17
| spl0_236
| ~ spl0_256 ),
inference(sat_conversion,[],[f36858]) ).
cnf(s2933,plain,
( spl0_244
| ~ spl0_305
| spl0_384 ),
inference(sat_conversion,[],[f36878]) ).
cnf(s2955,plain,
( ~ spl0_4
| spl0_25
| spl0_397 ),
inference(sat_conversion,[],[f36982]) ).
cnf(s2961,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_253
| ~ spl0_285 ),
inference(sat_conversion,[],[f37016]) ).
cnf(s2965,plain,
( spl0_16
| ~ spl0_384 ),
inference(sat_conversion,[],[f37036]) ).
cnf(s2980,plain,
( spl0_231
| spl0_253
| spl0_355 ),
inference(sat_conversion,[],[f37307]) ).
cnf(s2984,plain,
( ~ spl0_28
| spl0_45
| ~ spl0_232
| ~ spl0_264 ),
inference(sat_conversion,[],[f37343]) ).
cnf(s2985,plain,
( ~ spl0_45
| ~ spl0_311
| ~ spl0_340 ),
inference(sat_conversion,[],[f37353]) ).
cnf(s2987,plain,
( ~ spl0_28
| spl0_45
| ~ spl0_324
| ~ spl0_340 ),
inference(sat_conversion,[],[f37473]) ).
cnf(s2991,plain,
( ~ spl0_212
| ~ spl0_253
| ~ spl0_337
| spl0_488 ),
inference(sat_conversion,[],[f37538]) ).
cnf(s3003,plain,
( ~ spl0_88
| ~ spl0_319
| ~ spl0_337 ),
inference(sat_conversion,[],[f37640]) ).
cnf(s3004,plain,
( ~ spl0_85
| ~ spl0_259
| ~ spl0_310
| ~ spl0_319 ),
inference(sat_conversion,[],[f37643]) ).
cnf(s3005,plain,
( ~ spl0_5
| spl0_236
| ~ spl0_279 ),
inference(sat_conversion,[],[f37687]) ).
cnf(s3010,plain,
( ~ spl0_85
| ~ spl0_341
| ~ spl0_488 ),
inference(sat_conversion,[],[f37737]) ).
cnf(s3011,plain,
( ~ spl0_217
| ~ spl0_244
| ~ spl0_488 ),
inference(sat_conversion,[],[f37739]) ).
cnf(s3016,plain,
( spl0_182
| spl0_311
| ~ spl0_323 ),
inference(sat_conversion,[],[f37790]) ).
cnf(s3018,plain,
( ~ spl0_221
| spl0_264
| spl0_365 ),
inference(sat_conversion,[],[f37792]) ).
cnf(s3019,plain,
( ~ spl0_85
| ~ spl0_220
| ~ spl0_244
| ~ spl0_253
| ~ spl0_293 ),
inference(sat_conversion,[],[f37811]) ).
cnf(s3027,plain,
( ~ spl0_28
| ~ spl0_236
| ~ spl0_242
| spl0_303 ),
inference(sat_conversion,[],[f37845]) ).
cnf(s3028,plain,
( spl0_16
| spl0_38
| ~ spl0_397 ),
inference(sat_conversion,[],[f37885]) ).
cnf(s3029,plain,
( spl0_64
| spl0_386
| ~ spl0_397 ),
inference(sat_conversion,[],[f37888]) ).
cnf(s3030,plain,
( spl0_16
| ~ spl0_28
| ~ spl0_67
| ~ spl0_397 ),
inference(sat_conversion,[],[f37890]) ).
cnf(s3048,plain,
( ~ spl0_220
| ~ spl0_244
| ~ spl0_275
| ~ spl0_293 ),
inference(sat_conversion,[],[f38118]) ).
cnf(s3049,plain,
( ~ spl0_211
| ~ spl0_225
| ~ spl0_308 ),
inference(sat_conversion,[],[f38119]) ).
cnf(s3052,plain,
( ~ spl0_27
| ~ spl0_308
| ~ spl0_324 ),
inference(sat_conversion,[],[f38121]) ).
cnf(s3056,plain,
( ~ spl0_89
| ~ spl0_260
| ~ spl0_284 ),
inference(sat_conversion,[],[f38125]) ).
cnf(s3057,plain,
( spl0_46
| ~ spl0_285
| ~ spl0_473 ),
inference(sat_conversion,[],[f38126]) ).
cnf(s3059,plain,
( ~ spl0_49
| ~ spl0_260
| ~ spl0_284
| ~ spl0_285 ),
inference(sat_conversion,[],[f38128]) ).
cnf(s3063,plain,
( ~ spl0_21
| spl0_64
| spl0_89
| ~ spl0_432 ),
inference(sat_conversion,[],[f38136]) ).
cnf(s3070,plain,
( ~ spl0_212
| ~ spl0_234
| ~ spl0_347 ),
inference(sat_conversion,[],[f38216]) ).
cnf(s3073,plain,
( spl0_17
| spl0_311
| ~ spl0_366 ),
inference(sat_conversion,[],[f38272]) ).
cnf(s3078,plain,
( ~ spl0_9
| spl0_240
| spl0_398
| ~ spl0_467 ),
inference(sat_conversion,[],[f38371]) ).
cnf(s3080,plain,
( ~ spl0_212
| ~ spl0_275
| ~ spl0_337
| ~ spl0_341 ),
inference(sat_conversion,[],[f38403]) ).
cnf(s3081,plain,
( ~ spl0_212
| ~ spl0_234
| ~ spl0_259
| ~ spl0_308
| ~ spl0_341 ),
inference(sat_conversion,[],[f38404]) ).
cnf(s3082,plain,
( ~ spl0_51
| ~ spl0_56
| spl0_268
| ~ spl0_411 ),
inference(sat_conversion,[],[f38405]) ).
cnf(s3084,plain,
( ~ spl0_57
| spl0_224
| ~ spl0_482
| spl0_489 ),
inference(sat_conversion,[],[f38410]) ).
cnf(s3085,plain,
( ~ spl0_5
| ~ spl0_81
| spl0_267
| ~ spl0_269 ),
inference(sat_conversion,[],[f38411]) ).
cnf(s3087,plain,
( ~ spl0_25
| ~ spl0_233
| ~ spl0_262
| ~ spl0_264 ),
inference(sat_conversion,[],[f38414]) ).
cnf(s3089,plain,
( ~ spl0_56
| spl0_224
| ~ spl0_448
| spl0_453 ),
inference(sat_conversion,[],[f38416]) ).
cnf(s3090,plain,
( ~ spl0_56
| spl0_224
| ~ spl0_466
| spl0_489 ),
inference(sat_conversion,[],[f38417]) ).
cnf(s3105,plain,
( ~ spl0_234
| ~ spl0_262
| spl0_477 ),
inference(sat_conversion,[],[f38508]) ).
cnf(s3112,plain,
( ~ spl0_5
| spl0_64
| ~ spl0_182 ),
inference(sat_conversion,[],[f38639]) ).
cnf(s3146,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_56
| spl0_60 ),
inference(sat_conversion,[],[f39074]) ).
cnf(s3150,plain,
( ~ spl0_97
| ~ spl0_219
| ~ spl0_270
| ~ spl0_304 ),
inference(sat_conversion,[],[f39082]) ).
cnf(s3159,plain,
( spl0_259
| ~ spl0_435
| spl0_458 ),
inference(sat_conversion,[],[f39095]) ).
cnf(s3172,plain,
( ~ spl0_5
| spl0_38
| ~ spl0_451 ),
inference(sat_conversion,[],[f39189]) ).
cnf(s3178,plain,
( ~ spl0_260
| ~ spl0_284
| ~ spl0_292
| ~ spl0_461 ),
inference(sat_conversion,[],[f39256]) ).
cnf(s3184,plain,
( ~ spl0_3
| spl0_25
| spl0_43 ),
inference(sat_conversion,[],[f39330]) ).
cnf(s3188,plain,
( ~ spl0_53
| ~ spl0_292
| spl0_295 ),
inference(sat_conversion,[],[f39466]) ).
cnf(s3189,plain,
( spl0_17
| ~ spl0_53
| spl0_62 ),
inference(sat_conversion,[],[f39467]) ).
cnf(s3198,plain,
( ~ spl0_64
| ~ spl0_85
| ~ spl0_159
| spl0_391 ),
inference(sat_conversion,[],[f39576]) ).
cnf(s3200,plain,
( spl0_98
| spl0_182
| ~ spl0_294 ),
inference(sat_conversion,[],[f39618]) ).
cnf(s3213,plain,
( ~ spl0_12
| ~ spl0_262
| ~ spl0_310
| ~ spl0_324 ),
inference(sat_conversion,[],[f39767]) ).
cnf(s3214,plain,
( spl0_232
| ~ spl0_266
| spl0_495 ),
inference(sat_conversion,[],[f39787]) ).
cnf(s3215,plain,
( ~ spl0_219
| ~ spl0_260
| ~ spl0_291
| spl0_496 ),
inference(sat_conversion,[],[f39810]) ).
cnf(s3218,plain,
( ~ spl0_88
| ~ spl0_244
| ~ spl0_268 ),
inference(sat_conversion,[],[f39885]) ).
cnf(s3219,plain,
( ~ spl0_219
| ~ spl0_273
| ~ spl0_497 ),
inference(sat_conversion,[],[f39888]) ).
cnf(s3223,plain,
( spl0_227
| ~ spl0_263
| spl0_498 ),
inference(sat_conversion,[],[f39990]) ).
cnf(s3228,plain,
( ~ spl0_9
| spl0_337
| ~ spl0_352
| spl0_502 ),
inference(sat_conversion,[],[f40059]) ).
cnf(s3229,plain,
( ~ spl0_219
| ~ spl0_304
| ~ spl0_502 ),
inference(sat_conversion,[],[f40080]) ).
cnf(s3230,plain,
( ~ spl0_215
| ~ spl0_224
| ~ spl0_234
| ~ spl0_236
| ~ spl0_268 ),
inference(sat_conversion,[],[f40095]) ).
cnf(s3231,plain,
( ~ spl0_51
| ~ spl0_291
| spl0_293
| spl0_497 ),
inference(sat_conversion,[],[f40096]) ).
cnf(s3233,plain,
( ~ spl0_9
| spl0_244
| ~ spl0_291
| spl0_502 ),
inference(sat_conversion,[],[f40098]) ).
cnf(s3234,plain,
( ~ spl0_57
| ~ spl0_289
| spl0_293
| spl0_497 ),
inference(sat_conversion,[],[f40099]) ).
cnf(s3235,plain,
( ~ spl0_220
| ~ spl0_222
| ~ spl0_244
| ~ spl0_310 ),
inference(sat_conversion,[],[f40102]) ).
cnf(s3236,plain,
( ~ spl0_14
| ~ spl0_253
| ~ spl0_262
| spl0_402 ),
inference(sat_conversion,[],[f40103]) ).
cnf(s3240,plain,
( spl0_66
| spl0_215
| ~ spl0_219
| ~ spl0_496 ),
inference(sat_conversion,[],[f40113]) ).
cnf(s3241,plain,
( spl0_13
| spl0_215
| ~ spl0_219
| ~ spl0_496 ),
inference(sat_conversion,[],[f40114]) ).
cnf(s3250,plain,
( ~ spl0_26
| ~ spl0_51
| spl0_60
| spl0_504 ),
inference(sat_conversion,[],[f40302]) ).
cnf(s3251,plain,
( ~ spl0_211
| ~ spl0_215
| ~ spl0_217
| ~ spl0_234
| ~ spl0_236 ),
inference(sat_conversion,[],[f40304]) ).
cnf(s3252,plain,
( ~ spl0_56
| spl0_259
| ~ spl0_502 ),
inference(sat_conversion,[],[f40305]) ).
cnf(s3253,plain,
( ~ spl0_26
| ~ spl0_51
| spl0_60
| ~ spl0_292
| spl0_295 ),
inference(sat_conversion,[],[f40306]) ).
cnf(s3254,plain,
( ~ spl0_12
| ~ spl0_60
| ~ spl0_85
| ~ spl0_253
| ~ spl0_262 ),
inference(sat_conversion,[],[f40307]) ).
cnf(s3256,plain,
( ~ spl0_57
| spl0_59
| spl0_224
| ~ spl0_419 ),
inference(sat_conversion,[],[f40312]) ).
cnf(s3258,plain,
( ~ spl0_211
| ~ spl0_215
| ~ spl0_240
| ~ spl0_346 ),
inference(sat_conversion,[],[f40315]) ).
cnf(s3259,plain,
( ~ spl0_21
| spl0_267
| ~ spl0_502 ),
inference(sat_conversion,[],[f40316]) ).
cnf(s3261,plain,
( spl0_62
| ~ spl0_445 ),
inference(sat_conversion,[],[f40347]) ).
cnf(s3276,plain,
( spl0_259
| ~ spl0_355
| ~ spl0_381 ),
inference(sat_conversion,[],[f40492]) ).
cnf(s3287,plain,
( ~ spl0_124
| ~ spl0_260
| ~ spl0_355
| ~ spl0_414 ),
inference(sat_conversion,[],[f40606]) ).
cnf(s3292,plain,
( ~ spl0_91
| ~ spl0_337
| spl0_488 ),
inference(sat_conversion,[],[f40658]) ).
cnf(s3295,plain,
( ~ spl0_215
| spl0_233
| ~ spl0_236 ),
inference(sat_conversion,[],[f40680]) ).
cnf(s3305,plain,
( spl0_41
| spl0_244
| ~ spl0_271 ),
inference(sat_conversion,[],[f40844]) ).
cnf(s3307,plain,
( spl0_224
| ~ spl0_294
| spl0_445 ),
inference(sat_conversion,[],[f40881]) ).
cnf(s3309,plain,
( spl0_97
| ~ spl0_414
| ~ spl0_494 ),
inference(sat_conversion,[],[f40961]) ).
cnf(s3311,plain,
( ~ spl0_64
| ~ spl0_132
| ~ spl0_233 ),
inference(sat_conversion,[],[f40988]) ).
cnf(s3317,plain,
( spl0_226
| spl0_319
| spl0_322 ),
inference(sat_conversion,[],[f40996]) ).
cnf(s3320,plain,
( ~ spl0_53
| spl0_504 ),
inference(sat_conversion,[],[f41003]) ).
cnf(s3324,plain,
( ~ spl0_51
| ~ spl0_56
| ~ spl0_97
| spl0_259 ),
inference(sat_conversion,[],[f41004]) ).
cnf(s3325,plain,
( spl0_13
| spl0_259
| spl0_292 ),
inference(sat_conversion,[],[f41005]) ).
cnf(s3330,plain,
( ~ spl0_64
| ~ spl0_233
| ~ spl0_259
| ~ spl0_268 ),
inference(sat_conversion,[],[f41027]) ).
cnf(s3332,plain,
( ~ spl0_238
| ~ spl0_324
| ~ spl0_341 ),
inference(sat_conversion,[],[f41050]) ).
cnf(s3334,plain,
( ~ spl0_64
| ~ spl0_341
| ~ spl0_347 ),
inference(sat_conversion,[],[f41061]) ).
cnf(s3335,plain,
( spl0_71
| spl0_386
| ~ spl0_494 ),
inference(sat_conversion,[],[f41062]) ).
cnf(s3374,plain,
~ spl0_312,
inference(sat_conversion,[],[f41485]) ).
cnf(s3376,plain,
( spl0_16
| ~ spl0_260
| spl0_280
| ~ spl0_355 ),
inference(sat_conversion,[],[f41487]) ).
cnf(s3377,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_28
| spl0_70 ),
inference(sat_conversion,[],[f41488]) ).
cnf(s3378,plain,
( ~ spl0_5
| spl0_236
| ~ spl0_289
| spl0_507 ),
inference(sat_conversion,[],[f41492]) ).
cnf(s3379,plain,
( spl0_259
| ~ spl0_419
| ~ spl0_489 ),
inference(sat_conversion,[],[f41493]) ).
cnf(s3381,plain,
( ~ spl0_51
| spl0_259
| ~ spl0_414
| ~ spl0_504 ),
inference(sat_conversion,[],[f41498]) ).
cnf(s3382,plain,
( spl0_124
| spl0_259
| ~ spl0_493 ),
inference(sat_conversion,[],[f41499]) ).
cnf(s3383,plain,
( ~ spl0_25
| ~ spl0_60
| ~ spl0_162
| spl0_238 ),
inference(sat_conversion,[],[f41502]) ).
cnf(s3384,plain,
( ~ spl0_17
| ~ spl0_25
| spl0_61
| ~ spl0_162
| spl0_238
| spl0_386 ),
inference(sat_conversion,[],[f41505]) ).
cnf(s3385,plain,
( ~ spl0_17
| ~ spl0_25
| spl0_229
| spl0_232
| ~ spl0_233
| ~ spl0_262 ),
inference(sat_conversion,[],[f41506]) ).
cnf(s3388,plain,
( ~ spl0_25
| ~ spl0_30
| ~ spl0_162
| spl0_238 ),
inference(sat_conversion,[],[f41554]) ).
cnf(s3393,plain,
( ~ spl0_220
| ~ spl0_222
| ~ spl0_242
| ~ spl0_309 ),
inference(sat_conversion,[],[f41561]) ).
cnf(s3397,plain,
( ~ spl0_9
| spl0_253
| ~ spl0_507 ),
inference(sat_conversion,[],[f41649]) ).
cnf(s3401,plain,
( ~ spl0_10
| spl0_16
| spl0_43 ),
inference(sat_conversion,[],[f41715]) ).
cnf(s3408,plain,
( ~ spl0_20
| ~ spl0_355
| spl0_507 ),
inference(sat_conversion,[],[f41764]) ).
cnf(s3409,plain,
( ~ spl0_20
| ~ spl0_56
| spl0_185 ),
inference(sat_conversion,[],[f41765]) ).
cnf(s3420,plain,
( ~ spl0_17
| spl0_229
| spl0_232
| ~ spl0_238
| ~ spl0_293 ),
inference(sat_conversion,[],[f41885]) ).
cnf(s3437,plain,
~ spl0_229,
inference(sat_conversion,[],[f42050]) ).
cnf(s3444,plain,
( ~ spl0_210
| ~ spl0_320
| spl0_321
| ~ spl0_419 ),
inference(sat_conversion,[],[f42148]) ).
cnf(s3450,plain,
( ~ spl0_4
| ~ spl0_210
| ~ spl0_260
| spl0_324 ),
inference(sat_conversion,[],[f42212]) ).
cnf(s3454,plain,
( ~ spl0_28
| ~ spl0_38
| ~ spl0_93
| ~ spl0_386 ),
inference(sat_conversion,[],[f42218]) ).
cnf(s3456,plain,
( ~ spl0_43
| spl0_267 ),
inference(sat_conversion,[],[f42244]) ).
cnf(s3472,plain,
( ~ spl0_5
| ~ spl0_19
| spl0_267
| ~ spl0_355 ),
inference(sat_conversion,[],[f42518]) ).
cnf(s3477,plain,
( ~ spl0_185
| ~ spl0_260
| ~ spl0_414 ),
inference(sat_conversion,[],[f42558]) ).
cnf(s3478,plain,
( ~ spl0_12
| ~ spl0_242
| ~ spl0_244
| spl0_474 ),
inference(sat_conversion,[],[f42559]) ).
cnf(s3479,plain,
( ~ spl0_51
| ~ spl0_56
| ~ spl0_71
| ~ spl0_81 ),
inference(sat_conversion,[],[f42560]) ).
cnf(s3481,plain,
( ~ spl0_21
| ~ spl0_51
| spl0_64
| ~ spl0_138 ),
inference(sat_conversion,[],[f42563]) ).
cnf(s3486,plain,
( ~ spl0_1
| spl0_64
| ~ spl0_489 ),
inference(sat_conversion,[],[f42571]) ).
cnf(s3489,plain,
( spl0_62
| ~ spl0_80
| spl0_413 ),
inference(sat_conversion,[],[f42574]) ).
cnf(s3491,plain,
( ~ spl0_1
| spl0_98
| spl0_413
| ~ spl0_467 ),
inference(sat_conversion,[],[f42576]) ).
cnf(s3493,plain,
( spl0_71
| spl0_267
| ~ spl0_493 ),
inference(sat_conversion,[],[f42578]) ).
cnf(s3494,plain,
( ~ spl0_51
| ~ spl0_414
| ~ spl0_467
| spl0_489 ),
inference(sat_conversion,[],[f42579]) ).
cnf(s3495,plain,
( ~ spl0_51
| spl0_224
| ~ spl0_467
| spl0_489 ),
inference(sat_conversion,[],[f42581]) ).
cnf(s3496,plain,
( ~ spl0_12
| ~ spl0_43
| spl0_45 ),
inference(sat_conversion,[],[f42606]) ).
cnf(s3497,plain,
( ~ spl0_43
| spl0_45
| ~ spl0_60 ),
inference(sat_conversion,[],[f42607]) ).
cnf(s3498,plain,
( ~ spl0_43
| spl0_45
| ~ spl0_262 ),
inference(sat_conversion,[],[f42608]) ).
cnf(s3499,plain,
( spl0_73
| spl0_262
| ~ spl0_493 ),
inference(sat_conversion,[],[f42609]) ).
cnf(s3503,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_97
| spl0_262 ),
inference(sat_conversion,[],[f42614]) ).
cnf(s3514,plain,
( ~ spl0_18
| ~ spl0_21
| spl0_38
| ~ spl0_455 ),
inference(sat_conversion,[],[f42673]) ).
cnf(s3516,plain,
( ~ spl0_46
| ~ spl0_260
| ~ spl0_285
| ~ spl0_419 ),
inference(sat_conversion,[],[f42712]) ).
cnf(s3528,plain,
( ~ spl0_219
| ~ spl0_270
| ~ spl0_507 ),
inference(sat_conversion,[],[f42952]) ).
cnf(s3530,plain,
( ~ spl0_219
| ~ spl0_260
| ~ spl0_261 ),
inference(sat_conversion,[],[f42955]) ).
cnf(s3532,plain,
( ~ spl0_219
| ~ spl0_260
| spl0_268
| ~ spl0_504 ),
inference(sat_conversion,[],[f42957]) ).
cnf(s3538,plain,
( ~ spl0_60
| ~ spl0_98
| ~ spl0_224
| spl0_444 ),
inference(sat_conversion,[],[f42984]) ).
cnf(s3540,plain,
( ~ spl0_4
| ~ spl0_285
| spl0_507 ),
inference(sat_conversion,[],[f42986]) ).
cnf(s3545,plain,
( ~ spl0_60
| ~ spl0_311
| ~ spl0_341
| spl0_472 ),
inference(sat_conversion,[],[f43070]) ).
cnf(s3547,plain,
( ~ spl0_18
| spl0_262
| ~ spl0_502 ),
inference(sat_conversion,[],[f43097]) ).
cnf(s3551,plain,
( ~ spl0_28
| spl0_45
| ~ spl0_60
| ~ spl0_386 ),
inference(sat_conversion,[],[f43102]) ).
cnf(s3552,plain,
( ~ spl0_25
| ~ spl0_311
| ~ spl0_347 ),
inference(sat_conversion,[],[f43103]) ).
cnf(s3555,plain,
( ~ spl0_88
| ~ spl0_240
| ~ spl0_259 ),
inference(sat_conversion,[],[f43107]) ).
cnf(s3558,plain,
( ~ spl0_26
| spl0_41
| ~ spl0_260
| spl0_262
| ~ spl0_284 ),
inference(sat_conversion,[],[f43110]) ).
cnf(s3574,plain,
( spl0_64
| ~ spl0_260
| spl0_280
| ~ spl0_292 ),
inference(sat_conversion,[],[f43236]) ).
cnf(s3577,plain,
( ~ spl0_25
| ~ spl0_98
| ~ spl0_225 ),
inference(sat_conversion,[],[f43275]) ).
cnf(s3579,plain,
( ~ spl0_12
| ~ spl0_98
| ~ spl0_240
| spl0_444 ),
inference(sat_conversion,[],[f43277]) ).
cnf(s3580,plain,
( spl0_234
| spl0_441 ),
inference(sat_conversion,[],[f43279]) ).
cnf(s3596,plain,
( spl0_155
| spl0_234
| ~ spl0_355 ),
inference(sat_conversion,[],[f43415]) ).
cnf(s3602,plain,
( ~ spl0_10
| ~ spl0_56
| spl0_75 ),
inference(sat_conversion,[],[f43557]) ).
cnf(s3610,plain,
( ~ spl0_212
| ~ spl0_240
| ~ spl0_488 ),
inference(sat_conversion,[],[f43670]) ).
cnf(s3616,plain,
( spl0_41
| spl0_236
| ~ spl0_305 ),
inference(sat_conversion,[],[f43801]) ).
cnf(s3626,plain,
( ~ spl0_10
| ~ spl0_213
| ~ spl0_260
| spl0_335 ),
inference(sat_conversion,[],[f43955]) ).
cnf(s3633,plain,
( ~ spl0_5
| spl0_89
| spl0_234
| ~ spl0_471 ),
inference(sat_conversion,[],[f44176]) ).
cnf(s3634,plain,
( ~ spl0_28
| ~ spl0_267
| ~ spl0_309
| ~ spl0_340 ),
inference(sat_conversion,[],[f44189]) ).
cnf(s3635,plain,
( ~ spl0_5
| spl0_185
| spl0_234
| ~ spl0_484 ),
inference(sat_conversion,[],[f44217]) ).
cnf(s3641,plain,
( ~ spl0_215
| ~ spl0_227
| ~ spl0_240
| ~ spl0_244 ),
inference(sat_conversion,[],[f44290]) ).
cnf(s3650,plain,
( ~ spl0_60
| spl0_238
| ~ spl0_259
| ~ spl0_262 ),
inference(sat_conversion,[],[f44385]) ).
cnf(s3652,plain,
( ~ spl0_28
| ~ spl0_60
| ~ spl0_139 ),
inference(sat_conversion,[],[f44396]) ).
cnf(s3655,plain,
( ~ spl0_12
| ~ spl0_16
| spl0_511 ),
inference(sat_conversion,[],[f44402]) ).
cnf(s3656,plain,
( ~ spl0_60
| ~ spl0_249
| spl0_386
| spl0_512 ),
inference(sat_conversion,[],[f44406]) ).
cnf(s3658,plain,
( spl0_64
| ~ spl0_249
| spl0_386 ),
inference(sat_conversion,[],[f44411]) ).
cnf(s3659,plain,
( ~ spl0_18
| ~ spl0_419
| ~ spl0_510
| spl0_514 ),
inference(sat_conversion,[],[f44415]) ).
cnf(s3660,plain,
( ~ spl0_18
| spl0_62
| ~ spl0_381 ),
inference(sat_conversion,[],[f44417]) ).
cnf(s3661,plain,
( ~ spl0_60
| ~ spl0_85
| spl0_93 ),
inference(sat_conversion,[],[f44418]) ).
cnf(s3662,plain,
( ~ spl0_18
| spl0_98
| ~ spl0_510
| spl0_514 ),
inference(sat_conversion,[],[f44419]) ).
cnf(s3663,plain,
( ~ spl0_217
| ~ spl0_236
| ~ spl0_347 ),
inference(sat_conversion,[],[f44420]) ).
cnf(s3666,plain,
( ~ spl0_62
| ~ spl0_259
| ~ spl0_262
| spl0_415 ),
inference(sat_conversion,[],[f44427]) ).
cnf(s3669,plain,
( spl0_4
| ~ spl0_5
| spl0_234
| ~ spl0_419 ),
inference(sat_conversion,[],[f44433]) ).
cnf(s3670,plain,
( ~ spl0_220
| spl0_233
| ~ spl0_249
| spl0_267 ),
inference(sat_conversion,[],[f44434]) ).
cnf(s3671,plain,
( spl0_234
| ~ spl0_249
| spl0_267 ),
inference(sat_conversion,[],[f44435]) ).
cnf(s3673,plain,
( ~ spl0_249
| ~ spl0_259
| spl0_267
| spl0_518 ),
inference(sat_conversion,[],[f44443]) ).
cnf(s3678,plain,
( ~ spl0_5
| spl0_16
| ~ spl0_371 ),
inference(sat_conversion,[],[f44449]) ).
cnf(s3679,plain,
( ~ spl0_21
| spl0_185
| spl0_234
| ~ spl0_510 ),
inference(sat_conversion,[],[f44450]) ).
cnf(s3682,plain,
( ~ spl0_9
| spl0_16
| ~ spl0_399 ),
inference(sat_conversion,[],[f44453]) ).
cnf(s3693,plain,
( ~ spl0_45
| ~ spl0_98
| ~ spl0_267 ),
inference(sat_conversion,[],[f44528]) ).
cnf(s3696,plain,
( spl0_253
| ~ spl0_285
| ~ spl0_371 ),
inference(sat_conversion,[],[f44560]) ).
cnf(s3697,plain,
( ~ spl0_285
| ~ spl0_416
| ~ spl0_441 ),
inference(sat_conversion,[],[f44561]) ).
cnf(s3705,plain,
( ~ spl0_65
| ~ spl0_253
| ~ spl0_259
| spl0_462 ),
inference(sat_conversion,[],[f44597]) ).
cnf(s3709,plain,
( ~ spl0_251
| spl0_267
| ~ spl0_284
| ~ spl0_441 ),
inference(sat_conversion,[],[f44658]) ).
cnf(s3711,plain,
( ~ spl0_1
| spl0_60
| ~ spl0_185 ),
inference(sat_conversion,[],[f44676]) ).
cnf(s3715,plain,
( ~ spl0_98
| ~ spl0_259
| ~ spl0_415 ),
inference(sat_conversion,[],[f44726]) ).
cnf(s3716,plain,
( ~ spl0_224
| ~ spl0_253
| ~ spl0_462 ),
inference(sat_conversion,[],[f44752]) ).
cnf(s3717,plain,
( ~ spl0_166
| ~ spl0_224
| ~ spl0_240 ),
inference(sat_conversion,[],[f44754]) ).
cnf(s3734,plain,
( spl0_16
| ~ spl0_20
| spl0_397 ),
inference(sat_conversion,[],[f44888]) ).
cnf(s3737,plain,
( ~ spl0_38
| ~ spl0_267
| ~ spl0_274 ),
inference(sat_conversion,[],[f44917]) ).
cnf(s3738,plain,
( spl0_16
| ~ spl0_209
| ~ spl0_284
| ~ spl0_285
| ~ spl0_292 ),
inference(sat_conversion,[],[f44936]) ).
cnf(s3739,plain,
( spl0_16
| ~ spl0_209
| spl0_240
| ~ spl0_285
| ~ spl0_292 ),
inference(sat_conversion,[],[f44938]) ).
cnf(s3742,plain,
( ~ spl0_79
| spl0_262
| ~ spl0_497 ),
inference(sat_conversion,[],[f44991]) ).
cnf(s3746,plain,
( ~ spl0_3
| spl0_60
| ~ spl0_260
| ~ spl0_292 ),
inference(sat_conversion,[],[f45050]) ).
cnf(s3750,plain,
( spl0_17
| spl0_234
| ~ spl0_297 ),
inference(sat_conversion,[],[f45122]) ).
cnf(s3757,plain,
( ~ spl0_98
| ~ spl0_253
| ~ spl0_402 ),
inference(sat_conversion,[],[f45147]) ).
cnf(s3760,plain,
( ~ spl0_51
| spl0_65
| ~ spl0_72
| ~ spl0_84 ),
inference(sat_conversion,[],[f45150]) ).
cnf(s3762,plain,
( ~ spl0_222
| ~ spl0_303
| ~ spl0_308 ),
inference(sat_conversion,[],[f45152]) ).
cnf(s3766,plain,
( spl0_60
| spl0_61
| spl0_62
| ~ spl0_422 ),
inference(sat_conversion,[],[f45178]) ).
cnf(s3794,plain,
~ spl0_226,
inference(sat_conversion,[],[f45330]) ).
cnf(s3810,plain,
( ~ spl0_27
| ~ spl0_236
| ~ spl0_264 ),
inference(sat_conversion,[],[f45434]) ).
cnf(s3824,plain,
( ~ spl0_107
| ~ spl0_217
| ~ spl0_236
| spl0_337 ),
inference(sat_conversion,[],[f45835]) ).
cnf(s3828,plain,
( spl0_262
| ~ spl0_419
| spl0_482 ),
inference(sat_conversion,[],[f45839]) ).
cnf(s3831,plain,
( ~ spl0_210
| spl0_224
| ~ spl0_322
| spl0_323 ),
inference(sat_conversion,[],[f45843]) ).
cnf(s3840,plain,
( spl0_16
| spl0_38
| ~ spl0_249 ),
inference(sat_conversion,[],[f45872]) ).
cnf(s3844,plain,
( ~ spl0_27
| ~ spl0_60
| ~ spl0_64 ),
inference(sat_conversion,[],[f45905]) ).
cnf(s3846,plain,
( ~ spl0_57
| ~ spl0_84
| spl0_224
| ~ spl0_498 ),
inference(sat_conversion,[],[f45906]) ).
cnf(s3877,plain,
( ~ spl0_1
| ~ spl0_57
| spl0_98
| ~ spl0_501 ),
inference(sat_conversion,[],[f46300]) ).
cnf(s3886,plain,
( ~ spl0_224
| ~ spl0_249
| spl0_386
| spl0_518 ),
inference(sat_conversion,[],[f46420]) ).
cnf(s3887,plain,
( ~ spl0_21
| spl0_234
| spl0_396
| ~ spl0_466 ),
inference(sat_conversion,[],[f46486]) ).
cnf(s3892,plain,
( ~ spl0_38
| ~ spl0_232
| ~ spl0_235
| ~ spl0_267 ),
inference(sat_conversion,[],[f46583]) ).
cnf(s3894,plain,
( ~ spl0_266
| spl0_268
| spl0_501 ),
inference(sat_conversion,[],[f46653]) ).
cnf(s3895,plain,
( spl0_136
| ~ spl0_355
| ~ spl0_440 ),
inference(sat_conversion,[],[f46687]) ).
cnf(s3896,plain,
( spl0_136
| spl0_253
| ~ spl0_440 ),
inference(sat_conversion,[],[f46689]) ).
cnf(s3900,plain,
( ~ spl0_263
| spl0_268
| spl0_520 ),
inference(sat_conversion,[],[f46793]) ).
cnf(s3903,plain,
( ~ spl0_85
| spl0_88
| ~ spl0_319
| ~ spl0_335 ),
inference(sat_conversion,[],[f46856]) ).
cnf(s3904,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_38
| ~ spl0_324
| ~ spl0_335 ),
inference(sat_conversion,[],[f46864]) ).
cnf(s3905,plain,
( ~ spl0_38
| ~ spl0_64
| ~ spl0_88 ),
inference(sat_conversion,[],[f46877]) ).
cnf(s3906,plain,
( ~ spl0_38
| ~ spl0_88
| ~ spl0_166
| ~ spl0_249 ),
inference(sat_conversion,[],[f46879]) ).
cnf(s3907,plain,
( ~ spl0_254
| spl0_264
| spl0_522 ),
inference(sat_conversion,[],[f46907]) ).
cnf(s3909,plain,
( ~ spl0_51
| ~ spl0_339
| spl0_341
| spl0_524 ),
inference(sat_conversion,[],[f46965]) ).
cnf(s3911,plain,
( ~ spl0_57
| spl0_341
| ~ spl0_351
| spl0_497 ),
inference(sat_conversion,[],[f46987]) ).
cnf(s3913,plain,
( ~ spl0_314
| spl0_335
| spl0_526 ),
inference(sat_conversion,[],[f47083]) ).
cnf(s3921,plain,
( ~ spl0_212
| ~ spl0_215
| ~ spl0_232
| ~ spl0_267
| ~ spl0_340 ),
inference(sat_conversion,[],[f47291]) ).
cnf(s3922,plain,
( ~ spl0_215
| ~ spl0_220
| ~ spl0_232
| ~ spl0_267 ),
inference(sat_conversion,[],[f47293]) ).
cnf(s3924,plain,
( ~ spl0_227
| spl0_232
| ~ spl0_249
| spl0_529 ),
inference(sat_conversion,[],[f47298]) ).
cnf(s3925,plain,
( ~ spl0_212
| ~ spl0_215
| ~ spl0_217
| ~ spl0_220 ),
inference(sat_conversion,[],[f47306]) ).
cnf(s3928,plain,
( ~ spl0_25
| ~ spl0_242
| ~ spl0_303 ),
inference(sat_conversion,[],[f47338]) ).
cnf(s3936,plain,
( ~ spl0_219
| ~ spl0_290
| ~ spl0_355
| spl0_496 ),
inference(sat_conversion,[],[f47566]) ).
cnf(s3939,plain,
( ~ spl0_213
| ~ spl0_354
| ~ spl0_355
| spl0_496 ),
inference(sat_conversion,[],[f47618]) ).
cnf(s3945,plain,
( ~ spl0_284
| ~ spl0_355
| ~ spl0_496 ),
inference(sat_conversion,[],[f47691]) ).
cnf(s3949,plain,
( spl0_319
| ~ spl0_365
| spl0_532 ),
inference(sat_conversion,[],[f47703]) ).
cnf(s3956,plain,
( ~ spl0_215
| spl0_232
| spl0_233
| ~ spl0_249 ),
inference(sat_conversion,[],[f47719]) ).
cnf(s3957,plain,
( spl0_232
| spl0_236
| ~ spl0_249 ),
inference(sat_conversion,[],[f47720]) ).
cnf(s3959,plain,
( ~ spl0_213
| ~ spl0_322
| ~ spl0_497 ),
inference(sat_conversion,[],[f47780]) ).
cnf(s3960,plain,
( ~ spl0_159
| ~ spl0_308
| ~ spl0_337
| spl0_347 ),
inference(sat_conversion,[],[f47781]) ).
cnf(s3961,plain,
( spl0_63
| ~ spl0_65
| ~ spl0_249
| spl0_386 ),
inference(sat_conversion,[],[f47782]) ).
cnf(s3963,plain,
( ~ spl0_1
| spl0_259
| ~ spl0_419
| ~ spl0_504 ),
inference(sat_conversion,[],[f47787]) ).
cnf(s3966,plain,
( ~ spl0_211
| ~ spl0_249
| spl0_340
| spl0_513 ),
inference(sat_conversion,[],[f47790]) ).
cnf(s3968,plain,
( ~ spl0_29
| spl0_33
| spl0_49 ),
inference(sat_conversion,[],[f47792]) ).
cnf(s3994,plain,
( ~ spl0_38
| ~ spl0_65
| ~ spl0_240
| ~ spl0_267
| ~ spl0_386 ),
inference(sat_conversion,[],[f48236]) ).
cnf(s3995,plain,
( ~ spl0_65
| ~ spl0_244
| ~ spl0_293
| spl0_537 ),
inference(sat_conversion,[],[f48241]) ).
cnf(s4001,plain,
( ~ spl0_21
| ~ spl0_51
| spl0_234
| ~ spl0_523 ),
inference(sat_conversion,[],[f48247]) ).
cnf(s4008,plain,
( ~ spl0_65
| ~ spl0_215
| ~ spl0_224
| ~ spl0_240
| ~ spl0_244 ),
inference(sat_conversion,[],[f48320]) ).
cnf(s4009,plain,
( ~ spl0_162
| ~ spl0_236
| ~ spl0_293
| spl0_515 ),
inference(sat_conversion,[],[f48321]) ).
cnf(s4011,plain,
( spl0_114
| ~ spl0_396 ),
inference(sat_conversion,[],[f48329]) ).
cnf(s4015,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_324
| ~ spl0_536 ),
inference(sat_conversion,[],[f48349]) ).
cnf(s4018,plain,
( ~ spl0_210
| ~ spl0_214
| ~ spl0_292
| spl0_308
| ~ spl0_355 ),
inference(sat_conversion,[],[f48426]) ).
cnf(s4027,plain,
( ~ spl0_18
| spl0_413
| ~ spl0_419
| ~ spl0_466 ),
inference(sat_conversion,[],[f48437]) ).
cnf(s4029,plain,
( ~ spl0_18
| spl0_98
| spl0_413
| ~ spl0_466 ),
inference(sat_conversion,[],[f48440]) ).
cnf(s4034,plain,
( ~ spl0_224
| ~ spl0_253
| spl0_275 ),
inference(sat_conversion,[],[f48511]) ).
cnf(s4041,plain,
( ~ spl0_65
| ~ spl0_211
| ~ spl0_224
| ~ spl0_240
| ~ spl0_337 ),
inference(sat_conversion,[],[f48587]) ).
cnf(s4045,plain,
( ~ spl0_38
| ~ spl0_236
| ~ spl0_537 ),
inference(sat_conversion,[],[f48632]) ).
cnf(s4046,plain,
( ~ spl0_220
| ~ spl0_240
| ~ spl0_537 ),
inference(sat_conversion,[],[f48634]) ).
cnf(s4048,plain,
( ~ spl0_220
| ~ spl0_224
| ~ spl0_515 ),
inference(sat_conversion,[],[f48696]) ).
cnf(s4049,plain,
( ~ spl0_222
| ~ spl0_341
| ~ spl0_515 ),
inference(sat_conversion,[],[f48698]) ).
cnf(s4054,plain,
( ~ spl0_38
| ~ spl0_240
| ~ spl0_253
| ~ spl0_267 ),
inference(sat_conversion,[],[f48888]) ).
cnf(s4056,plain,
( ~ spl0_212
| ~ spl0_217
| ~ spl0_233
| ~ spl0_308 ),
inference(sat_conversion,[],[f48891]) ).
cnf(s4057,plain,
( ~ spl0_162
| ~ spl0_308
| ~ spl0_341
| spl0_539 ),
inference(sat_conversion,[],[f48895]) ).
cnf(s4062,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_38
| ~ spl0_253
| ~ spl0_262 ),
inference(sat_conversion,[],[f48962]) ).
cnf(s4063,plain,
( ~ spl0_16
| ~ spl0_65
| ~ spl0_253
| ~ spl0_518 ),
inference(sat_conversion,[],[f48963]) ).
cnf(s4065,plain,
( ~ spl0_38
| ~ spl0_267
| ~ spl0_275
| ~ spl0_386 ),
inference(sat_conversion,[],[f48967]) ).
cnf(s4067,plain,
( ~ spl0_51
| spl0_65
| ~ spl0_179
| spl0_541 ),
inference(sat_conversion,[],[f48975]) ).
cnf(s4073,plain,
( ~ spl0_21
| spl0_64
| ~ spl0_214
| spl0_481 ),
inference(sat_conversion,[],[f48981]) ).
cnf(s4077,plain,
( ~ spl0_38
| ~ spl0_253
| ~ spl0_267
| spl0_542 ),
inference(sat_conversion,[],[f48991]) ).
cnf(s4078,plain,
( ~ spl0_9
| ~ spl0_21
| spl0_64
| ~ spl0_136 ),
inference(sat_conversion,[],[f48992]) ).
cnf(s4082,plain,
( ~ spl0_213
| ~ spl0_292
| spl0_294
| spl0_341 ),
inference(sat_conversion,[],[f48997]) ).
cnf(s4083,plain,
( ~ spl0_51
| spl0_65
| ~ spl0_179
| ~ spl0_292
| ~ spl0_419 ),
inference(sat_conversion,[],[f48998]) ).
cnf(s4086,plain,
( ~ spl0_9
| ~ spl0_21
| spl0_234
| ~ spl0_526 ),
inference(sat_conversion,[],[f49002]) ).
cnf(s4096,plain,
( ~ spl0_224
| ~ spl0_267
| spl0_518 ),
inference(sat_conversion,[],[f49016]) ).
cnf(s4098,plain,
( ~ spl0_224
| ~ spl0_262
| spl0_405 ),
inference(sat_conversion,[],[f49018]) ).
cnf(s4100,plain,
( ~ spl0_114
| spl0_229
| spl0_232
| spl0_242 ),
inference(sat_conversion,[],[f49029]) ).
cnf(s4106,plain,
( ~ spl0_14
| ~ spl0_25
| spl0_511 ),
inference(sat_conversion,[],[f49045]) ).
cnf(s4120,plain,
( ~ spl0_25
| ~ spl0_98
| spl0_477 ),
inference(sat_conversion,[],[f49109]) ).
cnf(s4137,plain,
( spl0_226
| spl0_244
| spl0_283 ),
inference(sat_conversion,[],[f49299]) ).
cnf(s4147,plain,
( ~ spl0_216
| spl0_236
| ~ spl0_538 ),
inference(sat_conversion,[],[f49507]) ).
cnf(s4148,plain,
( spl0_16
| spl0_240
| ~ spl0_538 ),
inference(sat_conversion,[],[f49510]) ).
cnf(s4151,plain,
( ~ spl0_210
| spl0_240
| spl0_360
| ~ spl0_361 ),
inference(sat_conversion,[],[f49559]) ).
cnf(s4164,plain,
( ~ spl0_212
| ~ spl0_224
| ~ spl0_539 ),
inference(sat_conversion,[],[f49807]) ).
cnf(s4165,plain,
( ~ spl0_65
| ~ spl0_337
| ~ spl0_539 ),
inference(sat_conversion,[],[f49809]) ).
cnf(s4168,plain,
( ~ spl0_218
| ~ spl0_221
| ~ spl0_304
| ~ spl0_305 ),
inference(sat_conversion,[],[f49855]) ).
cnf(s4178,plain,
( ~ spl0_98
| ~ spl0_212
| spl0_309 ),
inference(sat_conversion,[],[f50077]) ).
cnf(s4179,plain,
( ~ spl0_98
| ~ spl0_220
| spl0_237 ),
inference(sat_conversion,[],[f50078]) ).
cnf(s4181,plain,
( ~ spl0_51
| spl0_341
| ~ spl0_352
| spl0_497 ),
inference(sat_conversion,[],[f50184]) ).
cnf(s4182,plain,
( ~ spl0_217
| ~ spl0_244
| spl0_346 ),
inference(sat_conversion,[],[f50338]) ).
cnf(s4183,plain,
( ~ spl0_232
| ~ spl0_244
| spl0_529 ),
inference(sat_conversion,[],[f50339]) ).
cnf(s4184,plain,
( ~ spl0_159
| ~ spl0_244
| ~ spl0_397
| spl0_529 ),
inference(sat_conversion,[],[f50341]) ).
cnf(s4193,plain,
( ~ spl0_254
| spl0_268
| spl0_523 ),
inference(sat_conversion,[],[f50367]) ).
cnf(s4194,plain,
( ~ spl0_51
| spl0_259
| ~ spl0_507 ),
inference(sat_conversion,[],[f50369]) ).
cnf(s4195,plain,
( ~ spl0_314
| spl0_319
| spl0_523 ),
inference(sat_conversion,[],[f50373]) ).
cnf(s4196,plain,
( spl0_268
| spl0_273
| spl0_287 ),
inference(sat_conversion,[],[f50374]) ).
cnf(s4205,plain,
( ~ spl0_218
| ~ spl0_322
| ~ spl0_524 ),
inference(sat_conversion,[],[f50476]) ).
cnf(s4209,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_264
| ~ spl0_529 ),
inference(sat_conversion,[],[f50491]) ).
cnf(s4210,plain,
( ~ spl0_64
| ~ spl0_85
| ~ spl0_268
| ~ spl0_529 ),
inference(sat_conversion,[],[f50493]) ).
cnf(s4213,plain,
( ~ spl0_222
| ~ spl0_236
| spl0_303
| ~ spl0_340 ),
inference(sat_conversion,[],[f50496]) ).
cnf(s4216,plain,
( ~ spl0_12
| ~ spl0_311
| ~ spl0_337
| spl0_472 ),
inference(sat_conversion,[],[f50499]) ).
cnf(s4217,plain,
( ~ spl0_159
| ~ spl0_236
| ~ spl0_244
| spl0_303 ),
inference(sat_conversion,[],[f50500]) ).
cnf(s4218,plain,
( ~ spl0_67
| ~ spl0_311
| ~ spl0_337 ),
inference(sat_conversion,[],[f50503]) ).
cnf(s4219,plain,
( ~ spl0_21
| spl0_236
| ~ spl0_290
| spl0_507 ),
inference(sat_conversion,[],[f50504]) ).
cnf(s4220,plain,
( ~ spl0_3
| ~ spl0_218
| ~ spl0_270
| spl0_324 ),
inference(sat_conversion,[],[f50505]) ).
cnf(s4222,plain,
( ~ spl0_29
| ~ spl0_218
| spl0_264
| spl0_546 ),
inference(sat_conversion,[],[f50513]) ).
cnf(s4223,plain,
( ~ spl0_57
| spl0_224
| spl0_453
| ~ spl0_471 ),
inference(sat_conversion,[],[f50514]) ).
cnf(s4226,plain,
( ~ spl0_218
| ~ spl0_255
| spl0_256
| spl0_311 ),
inference(sat_conversion,[],[f50518]) ).
cnf(s4227,plain,
( ~ spl0_218
| spl0_272
| ~ spl0_273
| spl0_341 ),
inference(sat_conversion,[],[f50519]) ).
cnf(s4228,plain,
( ~ spl0_64
| ~ spl0_319
| ~ spl0_340
| spl0_391 ),
inference(sat_conversion,[],[f50520]) ).
cnf(s4234,plain,
( ~ spl0_18
| spl0_242
| ~ spl0_290
| spl0_545 ),
inference(sat_conversion,[],[f50526]) ).
cnf(s4238,plain,
( spl0_337
| spl0_544 ),
inference(sat_conversion,[],[f50530]) ).
cnf(s4242,plain,
( ~ spl0_218
| ~ spl0_304
| spl0_305
| spl0_337 ),
inference(sat_conversion,[],[f50535]) ).
cnf(s4258,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_92
| spl0_224
| ~ spl0_285 ),
inference(sat_conversion,[],[f50662]) ).
cnf(s4263,plain,
( ~ spl0_232
| ~ spl0_244
| ~ spl0_542 ),
inference(sat_conversion,[],[f50724]) ).
cnf(s4264,plain,
( ~ spl0_25
| ~ spl0_242
| spl0_535 ),
inference(sat_conversion,[],[f50729]) ).
cnf(s4266,plain,
( ~ spl0_98
| ~ spl0_132
| spl0_405 ),
inference(sat_conversion,[],[f50792]) ).
cnf(s4272,plain,
( ~ spl0_285
| ~ spl0_292
| spl0_446
| ~ spl0_478 ),
inference(sat_conversion,[],[f50892]) ).
cnf(s4280,plain,
( ~ spl0_38
| ~ spl0_232
| ~ spl0_302 ),
inference(sat_conversion,[],[f51065]) ).
cnf(s4284,plain,
( ~ spl0_29
| ~ spl0_221
| spl0_324
| spl0_547 ),
inference(sat_conversion,[],[f51125]) ).
cnf(s4290,plain,
( ~ spl0_337
| ~ spl0_340
| ~ spl0_542 ),
inference(sat_conversion,[],[f51144]) ).
cnf(s4294,plain,
( ~ spl0_29
| ~ spl0_219
| spl0_262
| spl0_547 ),
inference(sat_conversion,[],[f51190]) ).
cnf(s4295,plain,
( ~ spl0_219
| ~ spl0_285
| ~ spl0_414
| ~ spl0_532 ),
inference(sat_conversion,[],[f51192]) ).
cnf(s4305,plain,
( ~ spl0_29
| ~ spl0_213
| spl0_262
| spl0_546 ),
inference(sat_conversion,[],[f51286]) ).
cnf(s4318,plain,
( ~ spl0_29
| ~ spl0_216
| spl0_264
| spl0_470 ),
inference(sat_conversion,[],[f51384]) ).
cnf(s4326,plain,
( ~ spl0_29
| ~ spl0_210
| spl0_324
| spl0_470 ),
inference(sat_conversion,[],[f51468]) ).
cnf(s4332,plain,
( ~ spl0_83
| ~ spl0_292
| spl0_502 ),
inference(sat_conversion,[],[f51550]) ).
cnf(s4334,plain,
( ~ spl0_16
| spl0_70
| ~ spl0_335
| ~ spl0_340 ),
inference(sat_conversion,[],[f51553]) ).
cnf(s4336,plain,
( ~ spl0_21
| spl0_89
| spl0_234
| ~ spl0_448 ),
inference(sat_conversion,[],[f51558]) ).
cnf(s4338,plain,
( spl0_16
| ~ spl0_19
| spl0_416 ),
inference(sat_conversion,[],[f51561]) ).
cnf(s4341,plain,
( ~ spl0_16
| spl0_70
| ~ spl0_253
| ~ spl0_267 ),
inference(sat_conversion,[],[f51566]) ).
cnf(s4342,plain,
( ~ spl0_12
| ~ spl0_25
| spl0_27
| ~ spl0_159 ),
inference(sat_conversion,[],[f51567]) ).
cnf(s4350,plain,
( ~ spl0_85
| ~ spl0_386
| ~ spl0_542 ),
inference(sat_conversion,[],[f51607]) ).
cnf(s4358,plain,
( ~ spl0_98
| ~ spl0_132
| ~ spl0_415 ),
inference(sat_conversion,[],[f51657]) ).
cnf(s4360,plain,
( ~ spl0_216
| spl0_262
| spl0_263 ),
inference(sat_conversion,[],[f51659]) ).
cnf(s4363,plain,
( ~ spl0_98
| ~ spl0_267
| spl0_477 ),
inference(sat_conversion,[],[f51663]) ).
cnf(s4364,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_64
| ~ spl0_134 ),
inference(sat_conversion,[],[f51664]) ).
cnf(s4365,plain,
( spl0_25
| spl0_28
| ~ spl0_249 ),
inference(sat_conversion,[],[f51680]) ).
cnf(s4366,plain,
( ~ spl0_62
| ~ spl0_64
| ~ spl0_85
| ~ spl0_511 ),
inference(sat_conversion,[],[f51681]) ).
cnf(s4367,plain,
( ~ spl0_12
| ~ spl0_62
| ~ spl0_85
| spl0_415 ),
inference(sat_conversion,[],[f51682]) ).
cnf(s4397,plain,
( ~ spl0_236
| ~ spl0_242
| ~ spl0_293
| ~ spl0_512 ),
inference(sat_conversion,[],[f51970]) ).
cnf(s4398,plain,
( ~ spl0_215
| ~ spl0_242
| ~ spl0_444 ),
inference(sat_conversion,[],[f51971]) ).
cnf(s4399,plain,
( ~ spl0_5
| spl0_234
| ~ spl0_282 ),
inference(sat_conversion,[],[f52023]) ).
cnf(s4400,plain,
( ~ spl0_5
| spl0_267
| ~ spl0_545 ),
inference(sat_conversion,[],[f52024]) ).
cnf(s4403,plain,
( ~ spl0_9
| ~ spl0_75
| spl0_85 ),
inference(sat_conversion,[],[f52027]) ).
cnf(s4404,plain,
( ~ spl0_1
| spl0_62
| ~ spl0_75 ),
inference(sat_conversion,[],[f52029]) ).
cnf(s4405,plain,
( spl0_157
| spl0_234
| ~ spl0_285 ),
inference(sat_conversion,[],[f52030]) ).
cnf(s4427,plain,
( ~ spl0_98
| ~ spl0_259
| spl0_405 ),
inference(sat_conversion,[],[f52140]) ).
cnf(s4429,plain,
( ~ spl0_29
| spl0_60
| ~ spl0_414
| spl0_470 ),
inference(sat_conversion,[],[f52183]) ).
cnf(s4430,plain,
( spl0_267
| ~ spl0_414
| spl0_508 ),
inference(sat_conversion,[],[f52184]) ).
cnf(s4440,plain,
( ~ spl0_14
| ~ spl0_65
| ~ spl0_146
| spl0_464 ),
inference(sat_conversion,[],[f52290]) ).
cnf(s4442,plain,
( ~ spl0_12
| ~ spl0_28
| ~ spl0_38
| spl0_45 ),
inference(sat_conversion,[],[f52292]) ).
cnf(s4443,plain,
( ~ spl0_1
| spl0_14
| ~ spl0_41 ),
inference(sat_conversion,[],[f52293]) ).
cnf(s4444,plain,
( ~ spl0_28
| ~ spl0_38
| ~ spl0_67 ),
inference(sat_conversion,[],[f52294]) ).
cnf(s4453,plain,
( ~ spl0_18
| spl0_85
| ~ spl0_489 ),
inference(sat_conversion,[],[f52364]) ).
cnf(s4454,plain,
( ~ spl0_260
| ~ spl0_285
| ~ spl0_414
| ~ spl0_469 ),
inference(sat_conversion,[],[f52418]) ).
cnf(s4455,plain,
( ~ spl0_28
| ~ spl0_62
| ~ spl0_64
| spl0_391 ),
inference(sat_conversion,[],[f52475]) ).
cnf(s4456,plain,
( ~ spl0_28
| ~ spl0_98
| spl0_225
| ~ spl0_234 ),
inference(sat_conversion,[],[f52476]) ).
cnf(s4476,plain,
( ~ spl0_227
| ~ spl0_293
| ~ spl0_462 ),
inference(sat_conversion,[],[f52607]) ).
cnf(s4479,plain,
( ~ spl0_50
| spl0_311 ),
inference(sat_conversion,[],[f52613]) ).
cnf(s4486,plain,
( ~ spl0_219
| ~ spl0_238
| spl0_289
| ~ spl0_293 ),
inference(sat_conversion,[],[f52714]) ).
cnf(s4487,plain,
( ~ spl0_216
| ~ spl0_283
| ~ spl0_446 ),
inference(sat_conversion,[],[f52735]) ).
cnf(s4491,plain,
( ~ spl0_210
| ~ spl0_338
| ~ spl0_495
| ~ spl0_552 ),
inference(sat_conversion,[],[f52798]) ).
cnf(s4497,plain,
( ~ spl0_219
| spl0_232
| spl0_291 ),
inference(sat_conversion,[],[f52829]) ).
cnf(s4501,plain,
( ~ spl0_8
| spl0_62
| ~ spl0_453 ),
inference(sat_conversion,[],[f52832]) ).
cnf(s4502,plain,
( ~ spl0_219
| spl0_236
| ~ spl0_260
| spl0_280 ),
inference(sat_conversion,[],[f52833]) ).
cnf(s4510,plain,
( spl0_8
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f52856]) ).
cnf(s4520,plain,
( ~ spl0_284
| ~ spl0_285
| ~ spl0_451 ),
inference(sat_conversion,[],[f53012]) ).
cnf(s4525,plain,
( ~ spl0_51
| spl0_341
| ~ spl0_362 ),
inference(sat_conversion,[],[f53076]) ).
cnf(s4527,plain,
( ~ spl0_210
| spl0_253
| spl0_314 ),
inference(sat_conversion,[],[f53078]) ).
cnf(s4529,plain,
( ~ spl0_14
| ~ spl0_60
| ~ spl0_462 ),
inference(sat_conversion,[],[f53081]) ).
cnf(s4535,plain,
( spl0_55
| ~ spl0_56
| spl0_240
| ~ spl0_414 ),
inference(sat_conversion,[],[f53088]) ).
cnf(s4560,plain,
( spl0_60
| spl0_64
| ~ spl0_452 ),
inference(sat_conversion,[],[f53240]) ).
cnf(s4570,plain,
( ~ spl0_6
| spl0_282
| ~ spl0_355 ),
inference(sat_conversion,[],[f53427]) ).
cnf(s4571,plain,
( ~ spl0_6
| ~ spl0_56
| spl0_182 ),
inference(sat_conversion,[],[f53428]) ).
cnf(s4572,plain,
( ~ spl0_98
| ~ spl0_234
| ~ spl0_240
| ~ spl0_511 ),
inference(sat_conversion,[],[f53465]) ).
cnf(s4584,plain,
( ~ spl0_60
| ~ spl0_242
| ~ spl0_515 ),
inference(sat_conversion,[],[f53637]) ).
cnf(s4586,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_253
| ~ spl0_477 ),
inference(sat_conversion,[],[f53720]) ).
cnf(s4587,plain,
( ~ spl0_12
| ~ spl0_25
| ~ spl0_60
| ~ spl0_63 ),
inference(sat_conversion,[],[f53723]) ).
cnf(s4589,plain,
( ~ spl0_215
| ~ spl0_240
| ~ spl0_302 ),
inference(sat_conversion,[],[f53726]) ).
cnf(s4610,plain,
( ~ spl0_56
| ~ spl0_79
| spl0_224
| ~ spl0_522 ),
inference(sat_conversion,[],[f54039]) ).
cnf(s4614,plain,
( ~ spl0_56
| spl0_85
| ~ spl0_517 ),
inference(sat_conversion,[],[f54058]) ).
cnf(s4615,plain,
( ~ spl0_51
| spl0_64
| ~ spl0_517 ),
inference(sat_conversion,[],[f54059]) ).
cnf(s4616,plain,
( spl0_308
| spl0_552 ),
inference(sat_conversion,[],[f54061]) ).
cnf(s4617,plain,
( ~ spl0_51
| ~ spl0_57
| spl0_319
| ~ spl0_546 ),
inference(sat_conversion,[],[f54062]) ).
cnf(s4619,plain,
( ~ spl0_51
| ~ spl0_57
| spl0_268
| ~ spl0_547 ),
inference(sat_conversion,[],[f54066]) ).
cnf(s4623,plain,
( spl0_16
| spl0_85
| ~ spl0_519 ),
inference(sat_conversion,[],[f54069]) ).
cnf(s4624,plain,
( spl0_41
| spl0_240
| ~ spl0_280 ),
inference(sat_conversion,[],[f54070]) ).
cnf(s4626,plain,
( spl0_28
| ~ spl0_285
| spl0_473 ),
inference(sat_conversion,[],[f54073]) ).
cnf(s4663,plain,
( spl0_253
| ~ spl0_284
| ~ spl0_496 ),
inference(sat_conversion,[],[f54479]) ).
cnf(s4678,plain,
( ~ spl0_62
| ~ spl0_85
| ~ spl0_98
| ~ spl0_253
| ~ spl0_259 ),
inference(sat_conversion,[],[f54702]) ).
cnf(s4679,plain,
( ~ spl0_215
| ~ spl0_234
| ~ spl0_240
| ~ spl0_529 ),
inference(sat_conversion,[],[f54704]) ).
cnf(s4691,plain,
( ~ spl0_14
| spl0_325
| ~ spl0_337 ),
inference(sat_conversion,[],[f54919]) ).
cnf(s4692,plain,
( ~ spl0_14
| ~ spl0_38
| spl0_511 ),
inference(sat_conversion,[],[f54920]) ).
cnf(s4693,plain,
( ~ spl0_14
| ~ spl0_85
| spl0_93 ),
inference(sat_conversion,[],[f54921]) ).
cnf(s4694,plain,
( spl0_17
| spl0_98
| ~ spl0_280 ),
inference(sat_conversion,[],[f54922]) ).
cnf(s4695,plain,
( ~ spl0_32
| ~ spl0_285
| ~ spl0_355
| ~ spl0_419 ),
inference(sat_conversion,[],[f54923]) ).
cnf(s4700,plain,
( ~ spl0_1
| spl0_262
| ~ spl0_507 ),
inference(sat_conversion,[],[f54928]) ).
cnf(s4701,plain,
( spl0_12
| spl0_13
| ~ spl0_21
| spl0_476 ),
inference(sat_conversion,[],[f54929]) ).
cnf(s4704,plain,
( ~ spl0_73
| ~ spl0_260
| ~ spl0_355
| ~ spl0_419 ),
inference(sat_conversion,[],[f54932]) ).
cnf(s4714,plain,
( ~ spl0_37
| spl0_253 ),
inference(sat_conversion,[],[f54982]) ).
cnf(s4717,plain,
( ~ spl0_14
| ~ spl0_37
| ~ spl0_405 ),
inference(sat_conversion,[],[f54990]) ).
cnf(s4727,plain,
( ~ spl0_27
| ~ spl0_234
| ~ spl0_262 ),
inference(sat_conversion,[],[f55029]) ).
cnf(s4738,plain,
( ~ spl0_57
| spl0_59
| spl0_98
| ~ spl0_414 ),
inference(sat_conversion,[],[f55234]) ).
cnf(s4744,plain,
( ~ spl0_38
| ~ spl0_234
| ~ spl0_540 ),
inference(sat_conversion,[],[f55321]) ).
cnf(s4751,plain,
( ~ spl0_8
| ~ spl0_56
| spl0_240
| ~ spl0_520 ),
inference(sat_conversion,[],[f55384]) ).
cnf(s4767,plain,
( spl0_16
| ~ spl0_51
| spl0_53
| ~ spl0_56 ),
inference(sat_conversion,[],[f55457]) ).
cnf(s4783,plain,
( ~ spl0_14
| ~ spl0_65
| ~ spl0_253
| ~ spl0_405 ),
inference(sat_conversion,[],[f55588]) ).
cnf(s4785,plain,
( ~ spl0_28
| ~ spl0_236
| ~ spl0_474 ),
inference(sat_conversion,[],[f55592]) ).
cnf(s4786,plain,
( ~ spl0_5
| ~ spl0_51
| spl0_234
| ~ spl0_520 ),
inference(sat_conversion,[],[f55593]) ).
cnf(s4803,plain,
( ~ spl0_260
| ~ spl0_396
| ~ spl0_419 ),
inference(sat_conversion,[],[f55683]) ).
cnf(s4808,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_16
| ~ spl0_32 ),
inference(sat_conversion,[],[f55692]) ).
cnf(s4831,plain,
( ~ spl0_216
| spl0_224
| spl0_272
| ~ spl0_273 ),
inference(sat_conversion,[],[f55954]) ).
cnf(s4836,plain,
( spl0_98
| ~ spl0_216
| ~ spl0_255
| spl0_256 ),
inference(sat_conversion,[],[f55979]) ).
cnf(s4839,plain,
( spl0_12
| ~ spl0_56
| spl0_278 ),
inference(sat_conversion,[],[f55982]) ).
cnf(s4843,plain,
( spl0_98
| spl0_419 ),
inference(sat_conversion,[],[f55987]) ).
cnf(s4856,plain,
( ~ spl0_19
| ~ spl0_56
| spl0_514 ),
inference(sat_conversion,[],[f56105]) ).
cnf(s4858,plain,
( ~ spl0_260
| ~ spl0_292
| ~ spl0_441
| ~ spl0_459 ),
inference(sat_conversion,[],[f56173]) ).
cnf(s4864,plain,
( ~ spl0_217
| ~ spl0_232
| ~ spl0_308
| spl0_347 ),
inference(sat_conversion,[],[f56366]) ).
cnf(s4865,plain,
( ~ spl0_64
| ~ spl0_232
| ~ spl0_268
| spl0_391 ),
inference(sat_conversion,[],[f56367]) ).
cnf(s4868,plain,
( ~ spl0_213
| spl0_340
| spl0_352 ),
inference(sat_conversion,[],[f56449]) ).
cnf(s4882,plain,
( ~ spl0_221
| ~ spl0_255
| ~ spl0_273
| ~ spl0_345 ),
inference(sat_conversion,[],[f56706]) ).
cnf(s4883,plain,
( spl0_34
| spl0_267
| ~ spl0_286 ),
inference(sat_conversion,[],[f56736]) ).
cnf(s4884,plain,
( ~ spl0_213
| ~ spl0_221
| ~ spl0_255
| ~ spl0_286
| ~ spl0_304 ),
inference(sat_conversion,[],[f56771]) ).
cnf(s4886,plain,
( ~ spl0_38
| ~ spl0_94
| ~ spl0_308
| spl0_311 ),
inference(sat_conversion,[],[f56873]) ).
cnf(s4888,plain,
( ~ spl0_38
| ~ spl0_94
| ~ spl0_236
| spl0_242 ),
inference(sat_conversion,[],[f56877]) ).
cnf(s4889,plain,
( ~ spl0_12
| ~ spl0_240
| ~ spl0_253
| ~ spl0_262 ),
inference(sat_conversion,[],[f56923]) ).
cnf(s4893,plain,
( spl0_12
| ~ spl0_18
| ~ spl0_413 ),
inference(sat_conversion,[],[f56930]) ).
cnf(s4898,plain,
( ~ spl0_12
| ~ spl0_253
| ~ spl0_262
| spl0_556 ),
inference(sat_conversion,[],[f56942]) ).
cnf(s4900,plain,
( ~ spl0_8
| ~ spl0_84
| spl0_399
| ~ spl0_478 ),
inference(sat_conversion,[],[f56944]) ).
cnf(s4902,plain,
( ~ spl0_8
| spl0_85
| spl0_399
| ~ spl0_478 ),
inference(sat_conversion,[],[f56949]) ).
cnf(s4907,plain,
( ~ spl0_51
| spl0_224
| ~ spl0_508
| spl0_517 ),
inference(sat_conversion,[],[f56954]) ).
cnf(s4908,plain,
( ~ spl0_9
| spl0_240
| ~ spl0_508
| spl0_558 ),
inference(sat_conversion,[],[f56958]) ).
cnf(s4909,plain,
( ~ spl0_9
| ~ spl0_56
| spl0_240
| ~ spl0_501 ),
inference(sat_conversion,[],[f56959]) ).
cnf(s4914,plain,
( ~ spl0_51
| spl0_224
| ~ spl0_508
| spl0_517 ),
inference(sat_conversion,[],[f56966]) ).
cnf(s4924,plain,
( ~ spl0_28
| ~ spl0_232
| ~ spl0_237
| ~ spl0_267 ),
inference(sat_conversion,[],[f57021]) ).
cnf(s4927,plain,
( spl0_36
| ~ spl0_56
| ~ spl0_278 ),
inference(sat_conversion,[],[f57075]) ).
cnf(s4930,plain,
( ~ spl0_70
| ~ spl0_308
| ~ spl0_335 ),
inference(sat_conversion,[],[f57083]) ).
cnf(s4960,plain,
( ~ spl0_8
| ~ spl0_284
| spl0_399
| ~ spl0_471 ),
inference(sat_conversion,[],[f57658]) ).
cnf(s4961,plain,
( ~ spl0_8
| spl0_240
| spl0_399
| ~ spl0_471 ),
inference(sat_conversion,[],[f57660]) ).
cnf(s4962,plain,
( ~ spl0_18
| spl0_60
| ~ spl0_558 ),
inference(sat_conversion,[],[f57661]) ).
cnf(s4964,plain,
( ~ spl0_56
| ~ spl0_57
| ~ spl0_476
| spl0_519 ),
inference(sat_conversion,[],[f57664]) ).
cnf(s4966,plain,
( spl0_60
| spl0_73
| ~ spl0_494 ),
inference(sat_conversion,[],[f57666]) ).
cnf(s4968,plain,
( ~ spl0_56
| ~ spl0_57
| spl0_489
| ~ spl0_554 ),
inference(sat_conversion,[],[f57668]) ).
cnf(s4971,plain,
( ~ spl0_1
| spl0_14
| ~ spl0_179
| spl0_413 ),
inference(sat_conversion,[],[f57671]) ).
cnf(s4973,plain,
( ~ spl0_32
| ~ spl0_56
| ~ spl0_57
| ~ spl0_79 ),
inference(sat_conversion,[],[f57675]) ).
cnf(s4975,plain,
( ~ spl0_51
| ~ spl0_56
| ~ spl0_179
| spl0_489 ),
inference(sat_conversion,[],[f57677]) ).
cnf(s4977,plain,
( ~ spl0_93
| ~ spl0_98
| ~ spl0_224
| ~ spl0_240 ),
inference(sat_conversion,[],[f57679]) ).
cnf(s4981,plain,
( ~ spl0_16
| spl0_70
| ~ spl0_227
| ~ spl0_232 ),
inference(sat_conversion,[],[f57684]) ).
cnf(s4983,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_227
| ~ spl0_535 ),
inference(sat_conversion,[],[f57686]) ).
cnf(s4986,plain,
( ~ spl0_16
| ~ spl0_244
| spl0_529 ),
inference(sat_conversion,[],[f57689]) ).
cnf(s4987,plain,
( spl0_32
| spl0_60
| ~ spl0_278 ),
inference(sat_conversion,[],[f57690]) ).
cnf(s4988,plain,
( ~ spl0_56
| spl0_64
| spl0_155 ),
inference(sat_conversion,[],[f57692]) ).
cnf(s4989,plain,
( ~ spl0_34
| ~ spl0_56
| ~ spl0_57
| ~ spl0_81 ),
inference(sat_conversion,[],[f57693]) ).
cnf(s4990,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_253
| ~ spl0_470 ),
inference(sat_conversion,[],[f57694]) ).
cnf(s4991,plain,
( ~ spl0_51
| ~ spl0_57
| spl0_259
| ~ spl0_470 ),
inference(sat_conversion,[],[f57695]) ).
cnf(s4992,plain,
( spl0_38
| ~ spl0_56
| spl0_494 ),
inference(sat_conversion,[],[f57697]) ).
cnf(s4995,plain,
( ~ spl0_8
| ~ spl0_56
| spl0_244
| ~ spl0_532 ),
inference(sat_conversion,[],[f57700]) ).
cnf(s4996,plain,
( ~ spl0_8
| ~ spl0_56
| spl0_85
| ~ spl0_131 ),
inference(sat_conversion,[],[f57701]) ).
cnf(s5011,plain,
( ~ spl0_25
| ~ spl0_62
| spl0_512 ),
inference(sat_conversion,[],[f57777]) ).
cnf(s5020,plain,
( spl0_259
| ~ spl0_419
| ~ spl0_541 ),
inference(sat_conversion,[],[f57867]) ).
cnf(s5033,plain,
( ~ spl0_56
| spl0_64
| ~ spl0_557 ),
inference(sat_conversion,[],[f57997]) ).
cnf(s5040,plain,
( ~ spl0_8
| spl0_244
| ~ spl0_279 ),
inference(sat_conversion,[],[f58064]) ).
cnf(s5046,plain,
( ~ spl0_221
| spl0_264
| spl0_365 ),
inference(sat_conversion,[],[f58292]) ).
cnf(s5052,plain,
( ~ spl0_215
| ~ spl0_224
| ~ spl0_240
| ~ spl0_288 ),
inference(sat_conversion,[],[f58618]) ).
cnf(s5053,plain,
( spl0_226
| ~ spl0_253
| spl0_267
| ~ spl0_464 ),
inference(sat_conversion,[],[f58682]) ).
cnf(s5054,plain,
( ~ spl0_211
| ~ spl0_224
| ~ spl0_240
| ~ spl0_348 ),
inference(sat_conversion,[],[f58695]) ).
cnf(s5056,plain,
( spl0_247
| spl0_267
| ~ spl0_551 ),
inference(sat_conversion,[],[f58717]) ).
cnf(s5058,plain,
( ~ spl0_28
| ~ spl0_38
| ~ spl0_69
| ~ spl0_232
| spl0_236 ),
inference(sat_conversion,[],[f58762]) ).
cnf(s5059,plain,
( ~ spl0_28
| ~ spl0_38
| ~ spl0_69
| spl0_308
| ~ spl0_340 ),
inference(sat_conversion,[],[f58764]) ).
cnf(s5060,plain,
( ~ spl0_38
| ~ spl0_227
| ~ spl0_232
| spl0_542 ),
inference(sat_conversion,[],[f58775]) ).
cnf(s5061,plain,
( ~ spl0_215
| ~ spl0_227
| ~ spl0_240
| spl0_540 ),
inference(sat_conversion,[],[f58776]) ).
cnf(s5064,plain,
( ~ spl0_8
| spl0_244
| ~ spl0_289
| spl0_502 ),
inference(sat_conversion,[],[f58912]) ).
cnf(s5068,plain,
( ~ spl0_8
| spl0_337
| ~ spl0_351
| spl0_502 ),
inference(sat_conversion,[],[f59021]) ).
cnf(s5069,plain,
( ~ spl0_215
| spl0_237
| ~ spl0_242 ),
inference(sat_conversion,[],[f59047]) ).
cnf(s5073,plain,
( ~ spl0_220
| ~ spl0_236
| ~ spl0_242
| ~ spl0_477 ),
inference(sat_conversion,[],[f59052]) ).
cnf(s5075,plain,
( ~ spl0_8
| ~ spl0_84
| spl0_253
| ~ spl0_269 ),
inference(sat_conversion,[],[f59054]) ).
cnf(s5077,plain,
( ~ spl0_85
| spl0_88
| ~ spl0_227
| ~ spl0_268 ),
inference(sat_conversion,[],[f59060]) ).
cnf(s5078,plain,
( ~ spl0_218
| spl0_339
| spl0_340 ),
inference(sat_conversion,[],[f59061]) ).
cnf(s5079,plain,
( ~ spl0_18
| spl0_62
| ~ spl0_214
| spl0_452 ),
inference(sat_conversion,[],[f59062]) ).
cnf(s5082,plain,
( ~ spl0_68
| ~ spl0_98
| ~ spl0_215
| ~ spl0_240
| spl0_242 ),
inference(sat_conversion,[],[f59065]) ).
cnf(s5101,plain,
( spl0_234
| ~ spl0_292
| ~ spl0_519 ),
inference(sat_conversion,[],[f59294]) ).
cnf(s5103,plain,
( ~ spl0_138
| ~ spl0_292
| ~ spl0_355
| ~ spl0_414 ),
inference(sat_conversion,[],[f59300]) ).
cnf(s5104,plain,
( ~ spl0_214
| ~ spl0_292
| ~ spl0_355
| spl0_538 ),
inference(sat_conversion,[],[f59301]) ).
cnf(s5107,plain,
( spl0_62
| ~ spl0_285
| ~ spl0_292
| spl0_297 ),
inference(sat_conversion,[],[f59303]) ).
cnf(s5108,plain,
( spl0_138
| ~ spl0_292
| ~ spl0_440 ),
inference(sat_conversion,[],[f59305]) ).
cnf(s5111,plain,
( spl0_138
| spl0_259
| ~ spl0_440 ),
inference(sat_conversion,[],[f59309]) ).
cnf(s5116,plain,
( spl0_34
| ~ spl0_278
| spl0_386 ),
inference(sat_conversion,[],[f59314]) ).
cnf(s5123,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_65
| ~ spl0_469 ),
inference(sat_conversion,[],[f59322]) ).
cnf(s5124,plain,
( ~ spl0_5
| ~ spl0_9
| spl0_64
| ~ spl0_133 ),
inference(sat_conversion,[],[f59323]) ).
cnf(s5125,plain,
( spl0_12
| spl0_286
| ~ spl0_355 ),
inference(sat_conversion,[],[f59324]) ).
cnf(s5128,plain,
( spl0_85
| ~ spl0_292
| ~ spl0_355
| spl0_356 ),
inference(sat_conversion,[],[f59327]) ).
cnf(s5169,plain,
( ~ spl0_5
| spl0_386
| ~ spl0_514 ),
inference(sat_conversion,[],[f59674]) ).
cnf(s5175,plain,
( spl0_25
| spl0_98
| ~ spl0_538 ),
inference(sat_conversion,[],[f59823]) ).
cnf(s5192,plain,
( ~ spl0_9
| ~ spl0_18
| spl0_85
| ~ spl0_460 ),
inference(sat_conversion,[],[f60057]) ).
cnf(s5208,plain,
( ~ spl0_12
| ~ spl0_60
| ~ spl0_65
| spl0_556 ),
inference(sat_conversion,[],[f60641]) ).
cnf(s5209,plain,
( ~ spl0_240
| ~ spl0_262
| ~ spl0_556 ),
inference(sat_conversion,[],[f60649]) ).
cnf(s5210,plain,
( ~ spl0_9
| spl0_85
| spl0_399
| ~ spl0_431 ),
inference(sat_conversion,[],[f60650]) ).
cnf(s5212,plain,
( ~ spl0_25
| spl0_27
| ~ spl0_324
| ~ spl0_340 ),
inference(sat_conversion,[],[f60652]) ).
cnf(s5214,plain,
( ~ spl0_25
| spl0_27
| ~ spl0_232
| ~ spl0_264 ),
inference(sat_conversion,[],[f60654]) ).
cnf(s5216,plain,
( ~ spl0_5
| spl0_64
| ~ spl0_209
| spl0_481 ),
inference(sat_conversion,[],[f60657]) ).
cnf(s5217,plain,
( ~ spl0_28
| ~ spl0_38
| ~ spl0_325
| ~ spl0_340 ),
inference(sat_conversion,[],[f60658]) ).
cnf(s5218,plain,
( ~ spl0_8
| spl0_85
| ~ spl0_209
| spl0_557 ),
inference(sat_conversion,[],[f60660]) ).
cnf(s5221,plain,
( spl0_12
| ~ spl0_18
| spl0_554 ),
inference(sat_conversion,[],[f60663]) ).
cnf(s5222,plain,
( ~ spl0_98
| ~ spl0_211
| ~ spl0_240
| ~ spl0_325 ),
inference(sat_conversion,[],[f60664]) ).
cnf(s5223,plain,
( ~ spl0_65
| ~ spl0_224
| ~ spl0_240
| spl0_540 ),
inference(sat_conversion,[],[f60665]) ).
cnf(s5225,plain,
( ~ spl0_28
| spl0_45
| ~ spl0_262
| ~ spl0_267 ),
inference(sat_conversion,[],[f60667]) ).
cnf(s5226,plain,
( ~ spl0_18
| spl0_25
| spl0_155 ),
inference(sat_conversion,[],[f60668]) ).
cnf(s5228,plain,
( ~ spl0_18
| spl0_38
| spl0_179 ),
inference(sat_conversion,[],[f60670]) ).
cnf(s5229,plain,
( ~ spl0_25
| ~ spl0_60
| ~ spl0_262
| ~ spl0_518 ),
inference(sat_conversion,[],[f60671]) ).
cnf(s5230,plain,
( ~ spl0_136
| ~ spl0_284
| ~ spl0_292
| ~ spl0_355 ),
inference(sat_conversion,[],[f60672]) ).
cnf(s5231,plain,
( ~ spl0_18
| ~ spl0_57
| spl0_98
| ~ spl0_523 ),
inference(sat_conversion,[],[f60673]) ).
cnf(s5244,plain,
( ~ spl0_220
| ~ spl0_242
| ~ spl0_262
| spl0_474 ),
inference(sat_conversion,[],[f60880]) ).
cnf(s5245,plain,
( ~ spl0_62
| ~ spl0_85
| ~ spl0_319
| ~ spl0_325 ),
inference(sat_conversion,[],[f60891]) ).
cnf(s5246,plain,
( ~ spl0_98
| ~ spl0_220
| ~ spl0_474 ),
inference(sat_conversion,[],[f60907]) ).
cnf(s5247,plain,
( ~ spl0_209
| ~ spl0_285
| ~ spl0_292
| spl0_538 ),
inference(sat_conversion,[],[f60909]) ).
cnf(s5248,plain,
( spl0_65
| ~ spl0_292
| spl0_440 ),
inference(sat_conversion,[],[f60911]) ).
cnf(s5251,plain,
( ~ spl0_133
| ~ spl0_284
| ~ spl0_285
| ~ spl0_292 ),
inference(sat_conversion,[],[f60914]) ).
cnf(s5252,plain,
( ~ spl0_9
| spl0_10
| spl0_234
| ~ spl0_284 ),
inference(sat_conversion,[],[f60915]) ).
cnf(s5262,plain,
( spl0_14
| ~ spl0_56
| ~ spl0_57
| spl0_59 ),
inference(sat_conversion,[],[f61003]) ).
cnf(s5266,plain,
( ~ spl0_311
| ~ spl0_319
| ~ spl0_415 ),
inference(sat_conversion,[],[f61063]) ).
cnf(s5268,plain,
( ~ spl0_1
| ~ spl0_57
| spl0_62
| ~ spl0_458 ),
inference(sat_conversion,[],[f61065]) ).
cnf(s5269,plain,
( spl0_83
| ~ spl0_84
| spl0_224
| ~ spl0_284 ),
inference(sat_conversion,[],[f61067]) ).
cnf(s5270,plain,
( ~ spl0_1
| spl0_62
| ~ spl0_431
| spl0_451 ),
inference(sat_conversion,[],[f61068]) ).
cnf(s5272,plain,
( ~ spl0_131
| ~ spl0_285
| ~ spl0_292
| ~ spl0_414 ),
inference(sat_conversion,[],[f61070]) ).
cnf(s5289,plain,
( ~ spl0_9
| ~ spl0_84
| spl0_399
| ~ spl0_431 ),
inference(sat_conversion,[],[f61208]) ).
cnf(s5291,plain,
( ~ spl0_9
| spl0_10
| spl0_64
| ~ spl0_84 ),
inference(sat_conversion,[],[f61210]) ).
cnf(s5297,plain,
( ~ spl0_5
| spl0_14
| ~ spl0_394 ),
inference(sat_conversion,[],[f61275]) ).
cnf(s5299,plain,
( spl0_65
| ~ spl0_84
| spl0_432 ),
inference(sat_conversion,[],[f61277]) ).
cnf(s5300,plain,
( ~ spl0_1
| ~ spl0_8
| spl0_62
| ~ spl0_461 ),
inference(sat_conversion,[],[f61278]) ).
cnf(s5318,plain,
( ~ spl0_60
| ~ spl0_85
| ~ spl0_556 ),
inference(sat_conversion,[],[f61449]) ).
cnf(s5330,plain,
( ~ spl0_56
| ~ spl0_84
| ~ spl0_517 ),
inference(sat_conversion,[],[f61662]) ).
cnf(s5335,plain,
( ~ spl0_218
| spl0_272
| ~ spl0_273
| spl0_341 ),
inference(sat_conversion,[],[f61732]) ).
cnf(s5342,plain,
( ~ spl0_81
| ~ spl0_219
| spl0_234
| ~ spl0_272 ),
inference(sat_conversion,[],[f61922]) ).
cnf(s5343,plain,
( ~ spl0_1
| spl0_98
| ~ spl0_295 ),
inference(sat_conversion,[],[f61923]) ).
cnf(s5344,plain,
( spl0_98
| spl0_226
| spl0_419 ),
inference(sat_conversion,[],[f61925]) ).
cnf(s5345,plain,
( spl0_98
| ~ spl0_356
| spl0_371 ),
inference(sat_conversion,[],[f61927]) ).
cnf(s5346,plain,
( ~ spl0_212
| ~ spl0_308
| ~ spl0_311
| ~ spl0_477 ),
inference(sat_conversion,[],[f61928]) ).
cnf(s5347,plain,
( ~ spl0_219
| spl0_227
| spl0_290 ),
inference(sat_conversion,[],[f61929]) ).
cnf(s5352,plain,
( ~ spl0_236
| ~ spl0_293
| spl0_303
| ~ spl0_386 ),
inference(sat_conversion,[],[f61934]) ).
cnf(s5353,plain,
( ~ spl0_25
| spl0_27
| ~ spl0_60
| ~ spl0_386 ),
inference(sat_conversion,[],[f61935]) ).
cnf(s5358,plain,
( ~ spl0_219
| ~ spl0_255
| ~ spl0_545 ),
inference(sat_conversion,[],[f62020]) ).
cnf(s5359,plain,
( ~ spl0_8
| spl0_253
| ~ spl0_545 ),
inference(sat_conversion,[],[f62022]) ).
cnf(s5363,plain,
( ~ spl0_14
| ~ spl0_62
| ~ spl0_85
| ~ spl0_132
| ~ spl0_240 ),
inference(sat_conversion,[],[f62132]) ).
cnf(s5369,plain,
( spl0_259
| ~ spl0_414
| ~ spl0_496 ),
inference(sat_conversion,[],[f62138]) ).
cnf(s5371,plain,
( ~ spl0_14
| ~ spl0_62
| ~ spl0_85
| ~ spl0_240
| ~ spl0_259 ),
inference(sat_conversion,[],[f62152]) ).
cnf(s5373,plain,
( ~ spl0_60
| ~ spl0_242
| ~ spl0_293
| spl0_474 ),
inference(sat_conversion,[],[f62200]) ).
cnf(s5374,plain,
( ~ spl0_285
| ~ spl0_355
| ~ spl0_476
| spl0_538 ),
inference(sat_conversion,[],[f62246]) ).
cnf(s5382,plain,
( ~ spl0_6
| ~ spl0_219
| spl0_227
| ~ spl0_285 ),
inference(sat_conversion,[],[f62307]) ).
cnf(s5383,plain,
( ~ spl0_212
| ~ spl0_267
| ~ spl0_308
| spl0_347 ),
inference(sat_conversion,[],[f62308]) ).
cnf(s5392,plain,
( ~ spl0_57
| spl0_62
| ~ spl0_517 ),
inference(sat_conversion,[],[f62404]) ).
cnf(s5398,plain,
( ~ spl0_14
| ~ spl0_220
| ~ spl0_240
| ~ spl0_242
| ~ spl0_244 ),
inference(sat_conversion,[],[f62490]) ).
cnf(s5405,plain,
( ~ spl0_221
| spl0_244
| spl0_360
| ~ spl0_361 ),
inference(sat_conversion,[],[f62554]) ).
cnf(s5408,plain,
( ~ spl0_221
| spl0_236
| ~ spl0_338
| spl0_366 ),
inference(sat_conversion,[],[f62601]) ).
cnf(s5409,plain,
( ~ spl0_221
| spl0_293
| ~ spl0_322
| spl0_323 ),
inference(sat_conversion,[],[f62602]) ).
cnf(s5419,plain,
( spl0_32
| ~ spl0_285
| ~ spl0_286 ),
inference(sat_conversion,[],[f62883]) ).
cnf(s5420,plain,
( spl0_32
| spl0_262
| ~ spl0_286 ),
inference(sat_conversion,[],[f62885]) ).
cnf(s5426,plain,
( ~ spl0_1
| spl0_242
| ~ spl0_291
| spl0_545 ),
inference(sat_conversion,[],[f62982]) ).
cnf(s5429,plain,
( ~ spl0_56
| spl0_244
| ~ spl0_560 ),
inference(sat_conversion,[],[f63026]) ).
cnf(s5431,plain,
( ~ spl0_308
| ~ spl0_386
| ~ spl0_539 ),
inference(sat_conversion,[],[f63077]) ).
cnf(s5432,plain,
( ~ spl0_212
| ~ spl0_259
| ~ spl0_341
| spl0_539 ),
inference(sat_conversion,[],[f63078]) ).
cnf(s5433,plain,
( ~ spl0_222
| ~ spl0_244
| ~ spl0_335
| spl0_537 ),
inference(sat_conversion,[],[f63086]) ).
cnf(s5434,plain,
( ~ spl0_220
| spl0_235
| ~ spl0_240 ),
inference(sat_conversion,[],[f63095]) ).
cnf(s5435,plain,
( ~ spl0_240
| ~ spl0_259
| spl0_275 ),
inference(sat_conversion,[],[f63096]) ).
cnf(s5436,plain,
( ~ spl0_212
| ~ spl0_240
| spl0_310 ),
inference(sat_conversion,[],[f63097]) ).
cnf(s5438,plain,
( ~ spl0_217
| ~ spl0_308
| ~ spl0_311
| ~ spl0_535 ),
inference(sat_conversion,[],[f63100]) ).
cnf(s5439,plain,
( ~ spl0_220
| ~ spl0_236
| ~ spl0_267
| spl0_303 ),
inference(sat_conversion,[],[f63101]) ).
cnf(s5441,plain,
( ~ spl0_220
| ~ spl0_259
| ~ spl0_293
| spl0_515 ),
inference(sat_conversion,[],[f63104]) ).
cnf(s5442,plain,
( spl0_63
| ~ spl0_85
| ~ spl0_386 ),
inference(sat_conversion,[],[f63105]) ).
cnf(s5443,plain,
( ~ spl0_212
| ~ spl0_217
| ~ spl0_237
| ~ spl0_311 ),
inference(sat_conversion,[],[f63106]) ).
cnf(s5445,plain,
( ~ spl0_220
| ~ spl0_222
| ~ spl0_236
| ~ spl0_513 ),
inference(sat_conversion,[],[f63108]) ).
cnf(s5453,plain,
( ~ spl0_16
| ~ spl0_337
| spl0_536 ),
inference(sat_conversion,[],[f63175]) ).
cnf(s5460,plain,
( ~ spl0_213
| spl0_335
| spl0_354 ),
inference(sat_conversion,[],[f63303]) ).
cnf(s5462,plain,
( ~ spl0_6
| ~ spl0_213
| ~ spl0_285
| spl0_335 ),
inference(sat_conversion,[],[f63304]) ).
cnf(s5466,plain,
( spl0_38
| ~ spl0_355
| spl0_493 ),
inference(sat_conversion,[],[f63338]) ).
cnf(s5467,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_335
| ~ spl0_546 ),
inference(sat_conversion,[],[f63340]) ).
cnf(s5469,plain,
( ~ spl0_38
| ~ spl0_232
| ~ spl0_340
| ~ spl0_346 ),
inference(sat_conversion,[],[f63344]) ).
cnf(s5470,plain,
( ~ spl0_36
| ~ spl0_284
| ~ spl0_285
| ~ spl0_355 ),
inference(sat_conversion,[],[f63346]) ).
cnf(s5472,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_227
| ~ spl0_547 ),
inference(sat_conversion,[],[f63348]) ).
cnf(s5473,plain,
( spl0_14
| ~ spl0_285
| spl0_297
| ~ spl0_355 ),
inference(sat_conversion,[],[f63349]) ).
cnf(s5474,plain,
( spl0_55
| ~ spl0_56
| spl0_240
| ~ spl0_414 ),
inference(sat_conversion,[],[f63350]) ).
cnf(s5475,plain,
( ~ spl0_56
| ~ spl0_414
| ~ spl0_510
| spl0_517 ),
inference(sat_conversion,[],[f63351]) ).
cnf(s5476,plain,
( ~ spl0_9
| spl0_240
| ~ spl0_295 ),
inference(sat_conversion,[],[f63352]) ).
cnf(s5478,plain,
( ~ spl0_56
| spl0_224
| ~ spl0_510
| spl0_517 ),
inference(sat_conversion,[],[f63354]) ).
cnf(s5485,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f63399]) ).
cnf(s5486,plain,
( ~ spl0_51
| spl0_224
| ~ spl0_295 ),
inference(sat_conversion,[],[f63400]) ).
cnf(s5487,plain,
( spl0_139
| ~ spl0_259
| ~ spl0_267
| ~ spl0_386 ),
inference(sat_conversion,[],[f63401]) ).
cnf(s5489,plain,
( ~ spl0_56
| spl0_224
| ~ spl0_510
| spl0_517 ),
inference(sat_conversion,[],[f63403]) ).
cnf(s5507,plain,
( ~ spl0_216
| ~ spl0_304
| ~ spl0_510
| spl0_560 ),
inference(sat_conversion,[],[f63651]) ).
cnf(s5508,plain,
( ~ spl0_216
| spl0_240
| ~ spl0_304
| spl0_305 ),
inference(sat_conversion,[],[f63654]) ).
cnf(s5512,plain,
( ~ spl0_98
| ~ spl0_212
| ~ spl0_262
| ~ spl0_311 ),
inference(sat_conversion,[],[f63693]) ).
cnf(s5514,plain,
( ~ spl0_8
| spl0_240
| ~ spl0_282 ),
inference(sat_conversion,[],[f63723]) ).
cnf(s5517,plain,
( spl0_253
| ~ spl0_284
| spl0_448 ),
inference(sat_conversion,[],[f63726]) ).
cnf(s5518,plain,
( spl0_6
| ~ spl0_8
| spl0_98
| ~ spl0_284 ),
inference(sat_conversion,[],[f63727]) ).
cnf(s5520,plain,
( ~ spl0_216
| spl0_253
| spl0_254 ),
inference(sat_conversion,[],[f63729]) ).
cnf(s5521,plain,
( ~ spl0_21
| spl0_64
| ~ spl0_381 ),
inference(sat_conversion,[],[f63730]) ).
cnf(s5522,plain,
( ~ spl0_5
| spl0_60
| spl0_61
| ~ spl0_81
| ~ spl0_250 ),
inference(sat_conversion,[],[f63731]) ).
cnf(s5523,plain,
( spl0_259
| spl0_469
| ~ spl0_473 ),
inference(sat_conversion,[],[f63732]) ).
cnf(s5524,plain,
( ~ spl0_25
| spl0_27
| ~ spl0_262
| ~ spl0_267 ),
inference(sat_conversion,[],[f63733]) ).
cnf(s5525,plain,
( ~ spl0_9
| spl0_10
| spl0_234
| ~ spl0_284 ),
inference(sat_conversion,[],[f63734]) ).
cnf(s5526,plain,
( ~ spl0_216
| spl0_234
| ~ spl0_270
| spl0_271 ),
inference(sat_conversion,[],[f63735]) ).
cnf(s5527,plain,
( spl0_259
| ~ spl0_286
| spl0_562 ),
inference(sat_conversion,[],[f63739]) ).
cnf(s5528,plain,
( ~ spl0_216
| spl0_224
| spl0_272
| ~ spl0_273 ),
inference(sat_conversion,[],[f63740]) ).
cnf(s5530,plain,
( ~ spl0_21
| spl0_66
| ~ spl0_81
| spl0_85
| ~ spl0_250 ),
inference(sat_conversion,[],[f63743]) ).
cnf(s5531,plain,
( ~ spl0_5
| spl0_13
| spl0_14
| ~ spl0_21
| ~ spl0_250 ),
inference(sat_conversion,[],[f63744]) ).
cnf(s5532,plain,
( spl0_83
| ~ spl0_84
| spl0_224
| ~ spl0_284 ),
inference(sat_conversion,[],[f63745]) ).
cnf(s5533,plain,
( ~ spl0_5
| spl0_12
| spl0_13
| ~ spl0_21
| ~ spl0_250 ),
inference(sat_conversion,[],[f63746]) ).
cnf(s5556,plain,
( spl0_253
| ~ spl0_419
| spl0_466 ),
inference(sat_conversion,[],[f63909]) ).
cnf(s5562,plain,
( ~ spl0_12
| ~ spl0_28
| ~ spl0_542 ),
inference(sat_conversion,[],[f63930]) ).
cnf(s5563,plain,
( spl0_267
| ~ spl0_284
| spl0_450 ),
inference(sat_conversion,[],[f63931]) ).
cnf(s5564,plain,
( spl0_262
| ~ spl0_284
| spl0_471 ),
inference(sat_conversion,[],[f63932]) ).
cnf(s5565,plain,
( ~ spl0_84
| spl0_386
| spl0_431 ),
inference(sat_conversion,[],[f63933]) ).
cnf(s5568,plain,
( spl0_25
| ~ spl0_260
| spl0_280
| ~ spl0_285 ),
inference(sat_conversion,[],[f63981]) ).
cnf(s5571,plain,
( ~ spl0_244
| ~ spl0_264
| ~ spl0_556 ),
inference(sat_conversion,[],[f64079]) ).
cnf(s5572,plain,
( spl0_60
| ~ spl0_84
| spl0_478 ),
inference(sat_conversion,[],[f64080]) ).
cnf(s5574,plain,
( spl0_226
| spl0_262
| spl0_285 ),
inference(sat_conversion,[],[f64091]) ).
cnf(s5576,plain,
( ~ spl0_79
| spl0_80
| spl0_224
| ~ spl0_419 ),
inference(sat_conversion,[],[f64125]) ).
cnf(s5586,plain,
( ~ spl0_308
| ~ spl0_319
| ~ spl0_391 ),
inference(sat_conversion,[],[f64253]) ).
cnf(s5589,plain,
( ~ spl0_210
| ~ spl0_446
| ~ spl0_544 ),
inference(sat_conversion,[],[f64371]) ).
cnf(s5591,plain,
( spl0_6
| ~ spl0_8
| spl0_62
| ~ spl0_84 ),
inference(sat_conversion,[],[f64373]) ).
cnf(s5592,plain,
( spl0_60
| ~ spl0_292
| spl0_551 ),
inference(sat_conversion,[],[f64375]) ).
cnf(s5593,plain,
( ~ spl0_1
| spl0_25
| ~ spl0_413 ),
inference(sat_conversion,[],[f64376]) ).
cnf(s5594,plain,
( spl0_267
| ~ spl0_419
| spl0_467 ),
inference(sat_conversion,[],[f64377]) ).
cnf(s5595,plain,
( ~ spl0_8
| spl0_14
| ~ spl0_399 ),
inference(sat_conversion,[],[f64378]) ).
cnf(s5596,plain,
( spl0_64
| ~ spl0_260
| spl0_280
| ~ spl0_292 ),
inference(sat_conversion,[],[f64379]) ).
cnf(s5597,plain,
( ~ spl0_1
| spl0_3
| spl0_234
| ~ spl0_419 ),
inference(sat_conversion,[],[f64380]) ).
cnf(s5598,plain,
( ~ spl0_292
| spl0_386
| spl0_435 ),
inference(sat_conversion,[],[f64381]) ).
cnf(s5600,plain,
( ~ spl0_18
| spl0_19
| spl0_240
| ~ spl0_419 ),
inference(sat_conversion,[],[f64383]) ).
cnf(s5602,plain,
( ~ spl0_1
| spl0_16
| ~ spl0_398 ),
inference(sat_conversion,[],[f64385]) ).
cnf(s5603,plain,
( ~ spl0_18
| spl0_19
| spl0_240
| ~ spl0_419 ),
inference(sat_conversion,[],[f64386]) ).
cnf(s5617,plain,
( spl0_231
| spl0_240
| spl0_284 ),
inference(sat_conversion,[],[f64500]) ).
cnf(s5621,plain,
( ~ spl0_311
| ~ spl0_335
| ~ spl0_402 ),
inference(sat_conversion,[],[f64529]) ).
cnf(s5623,plain,
( spl0_312
| spl0_320
| spl0_324 ),
inference(sat_conversion,[],[f64561]) ).
cnf(s5633,plain,
( ~ spl0_80
| ~ spl0_292
| spl0_545 ),
inference(sat_conversion,[],[f64755]) ).
cnf(s5635,plain,
( spl0_253
| ~ spl0_414
| spl0_510 ),
inference(sat_conversion,[],[f64759]) ).
cnf(s5636,plain,
( ~ spl0_219
| ~ spl0_292
| spl0_293
| spl0_294 ),
inference(sat_conversion,[],[f64761]) ).
cnf(s5637,plain,
( spl0_262
| ~ spl0_414
| spl0_484 ),
inference(sat_conversion,[],[f64762]) ).
cnf(s5638,plain,
( ~ spl0_219
| spl0_244
| ~ spl0_355
| spl0_356 ),
inference(sat_conversion,[],[f64763]) ).
cnf(s5639,plain,
( ~ spl0_219
| spl0_242
| ~ spl0_285
| spl0_297 ),
inference(sat_conversion,[],[f64764]) ).
cnf(s5640,plain,
( ~ spl0_51
| spl0_53
| spl0_234
| ~ spl0_414 ),
inference(sat_conversion,[],[f64765]) ).
cnf(s5649,plain,
( ~ spl0_240
| ~ spl0_267
| ~ spl0_542 ),
inference(sat_conversion,[],[f64845]) ).
cnf(s5651,plain,
( spl0_229
| spl0_255
| spl0_264 ),
inference(sat_conversion,[],[f64866]) ).
cnf(s5658,plain,
( ~ spl0_34
| ~ spl0_285
| ~ spl0_355
| ~ spl0_441 ),
inference(sat_conversion,[],[f65088]) ).
cnf(s5660,plain,
( ~ spl0_213
| ~ spl0_338
| ~ spl0_507 ),
inference(sat_conversion,[],[f65134]) ).
cnf(s5663,plain,
( ~ spl0_213
| ~ spl0_238
| ~ spl0_341
| spl0_351 ),
inference(sat_conversion,[],[f65142]) ).
cnf(s5668,plain,
( ~ spl0_218
| ~ spl0_270
| spl0_271
| spl0_308 ),
inference(sat_conversion,[],[f65189]) ).
cnf(s5674,plain,
( ~ spl0_285
| ~ spl0_355
| ~ spl0_414
| ~ spl0_562 ),
inference(sat_conversion,[],[f65320]) ).
cnf(s5676,plain,
( ~ spl0_14
| ~ spl0_28
| ~ spl0_38
| ~ spl0_240
| ~ spl0_267 ),
inference(sat_conversion,[],[f65410]) ).
cnf(s5677,plain,
( ~ spl0_1
| spl0_12
| ~ spl0_89 ),
inference(sat_conversion,[],[f65411]) ).
cnf(s5678,plain,
( spl0_14
| ~ spl0_20
| spl0_396 ),
inference(sat_conversion,[],[f65412]) ).
cnf(s5679,plain,
( ~ spl0_8
| spl0_85
| ~ spl0_182 ),
inference(sat_conversion,[],[f65413]) ).
cnf(s5680,plain,
( ~ spl0_1
| ~ spl0_20
| spl0_33 ),
inference(sat_conversion,[],[f65414]) ).
cnf(s5681,plain,
( ~ spl0_213
| ~ spl0_285
| spl0_297
| spl0_311 ),
inference(sat_conversion,[],[f65415]) ).
cnf(s5682,plain,
( ~ spl0_64
| ~ spl0_259
| ~ spl0_267
| spl0_391 ),
inference(sat_conversion,[],[f65416]) ).
cnf(s5683,plain,
( ~ spl0_213
| spl0_324
| spl0_351 ),
inference(sat_conversion,[],[f65418]) ).
cnf(s5684,plain,
( ~ spl0_62
| ~ spl0_64
| ~ spl0_259
| ~ spl0_477 ),
inference(sat_conversion,[],[f65419]) ).
cnf(s5685,plain,
( ~ spl0_1
| ~ spl0_20
| spl0_253
| ~ spl0_285 ),
inference(sat_conversion,[],[f65420]) ).
cnf(s5686,plain,
( ~ spl0_28
| ~ spl0_267
| ~ spl0_386
| ~ spl0_405 ),
inference(sat_conversion,[],[f65421]) ).
cnf(s5687,plain,
( ~ spl0_213
| spl0_337
| ~ spl0_355
| spl0_356 ),
inference(sat_conversion,[],[f65422]) ).
cnf(s5696,plain,
( ~ spl0_1
| spl0_3
| spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f65478]) ).
cnf(s5708,plain,
( ~ spl0_38
| ~ spl0_65
| ~ spl0_139 ),
inference(sat_conversion,[],[f65652]) ).
cnf(s5712,plain,
( ~ spl0_17
| spl0_232
| ~ spl0_238
| ~ spl0_293 ),
inference(rat,[],[s3420,s3437]) ).
cnf(s5713,plain,
( ~ spl0_17
| ~ spl0_25
| spl0_232
| ~ spl0_233
| ~ spl0_262 ),
inference(rat,[],[s3385,s3437]) ).
cnf(s5716,plain,
( spl0_319
| spl0_322 ),
inference(rat,[],[s3317,s3794]) ).
cnf(s5735,plain,
( spl0_262
| ~ spl0_419
| ~ spl0_422 ),
inference(rat,[],[s2907,s3794]) ).
cnf(s5741,plain,
( spl0_98
| ~ spl0_114
| spl0_267 ),
inference(rat,[],[s2643,s3794]) ).
cnf(s5742,plain,
( ~ spl0_114
| spl0_311
| spl0_340 ),
inference(rat,[],[s2642,s3374]) ).
cnf(s5875,plain,
( ~ spl0_59
| ~ spl0_213
| spl0_262
| spl0_319 ),
inference(rat,[],[s995,s3794]) ).
cnf(s5906,plain,
( spl0_227
| spl0_304 ),
inference(rat,[],[s764,s3794]) ).
cnf(s5919,plain,
( spl0_262
| spl0_285 ),
inference(rat,[],[s677,s3794]) ).
cnf(s5926,plain,
( spl0_268
| spl0_273 ),
inference(rat,[],[s608,s658]) ).
cnf(s5934,plain,
( spl0_255
| spl0_264 ),
inference(rat,[],[s526,s3437]) ).
cnf(s5937,plain,
( ~ spl0_59
| ~ spl0_216
| spl0_259
| spl0_264 ),
inference(rat,[],[s509,s586]) ).
cnf(s5953,plain,
( spl0_221
| spl0_222 ),
inference(rat,[],[s423,s586]) ).
cnf(s5954,plain,
( spl0_219
| spl0_220 ),
inference(rat,[],[s422,s586]) ).
cnf(s5955,plain,
( spl0_217
| spl0_218 ),
inference(rat,[],[s421,s586]) ).
cnf(s5974,plain,
( spl0_84
| spl0_85 ),
inference(rat,[],[s88,s175]) ).
cnf(s5980,plain,
( spl0_56
| spl0_65 ),
inference(rat,[],[s58,s586]) ).
cnf(s5982,plain,
( spl0_14
| spl0_18 ),
inference(rat,[],[s46,s175]) ).
cnf(s5983,plain,
( spl0_8
| spl0_12 ),
inference(rat,[],[s5,s175]) ).
cnf(s5985,plain,
( ~ spl0_98
| ~ spl0_249
| ~ spl0_45
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s3671,s1011,s3693]) ).
cnf(s5987,plain,
( spl0_386
| ~ spl0_114
| ~ spl0_397
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s57,s2644,s3029,s138]) ).
cnf(s5988,plain,
( ~ spl0_20
| ~ spl0_422
| spl0_14
| ~ spl0_45
| spl0_16
| ~ spl0_38
| spl0_542
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s3325,s5128,s1178,s3650,s3661,s4098,s3766,s3660,s5686,s2314,s2412,s3454,s5987,s2980,s4077,s5735,s5741,s5344,s5985,s1549,s4011,s3734,s5678,s5982,s175,s138,s658,s3794]) ).
cnf(s5989,plain,
( ~ spl0_386
| ~ spl0_11
| ~ spl0_422
| ~ spl0_45
| ~ spl0_27
| ~ spl0_38
| ~ spl0_28 ),
inference(rat,[],[s1516,s3844,s3766,s2314,s3454,s138]) ).
cnf(s5990,plain,
( ~ spl0_419
| ~ spl0_11
| ~ spl0_422
| ~ spl0_21
| ~ spl0_27
| ~ spl0_38
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s111,s3256,s1528,s1836,s3717,s5208,s481,s600,s4073,s2853,s3658,s87,s57,s99,s2644,s4011,s5209,s3887,s1692,s5556,s4727,s4062,s5735,s5989,s4442,s138,s586]) ).
cnf(s5991,plain,
( spl0_9
| ~ spl0_12
| spl0_7
| spl0_5
| ~ spl0_28 ),
inference(rat,[],[s4062,s861,s5574,s3376,s3697,s1724,s3580,s510,s3456,s1011,s3693,s4843,s5990,s11,s5988,s2051,s2050,s4338,s10,s5982,s2846,s12,s4442,s4444,s16,s19,s2756,s2856,s5562,s3794]) ).
cnf(s5992,plain,
( ~ spl0_20
| spl0_16
| ~ spl0_9
| ~ spl0_12
| ~ spl0_28 ),
inference(rat,[],[s2014,s5678,s5982,s2846,s3030,s3734]) ).
cnf(s5993,plain,
( ~ spl0_38
| ~ spl0_422
| ~ spl0_416
| ~ spl0_11
| spl0_16
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s4062,s861,s5574,s3376,s3697,s1724,s3580,s510,s3456,s1011,s3693,s4843,s5990,s4442,s31,s12,s3794]) ).
cnf(s5994,plain,
( ~ spl0_386
| ~ spl0_45
| ~ spl0_422
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25 ),
inference(rat,[],[s1851,s1544,s5442,s3383,s4587,s3766,s2314,s2412,s138]) ).
cnf(s5995,plain,
( spl0_234
| spl0_274
| ~ spl0_419
| spl0_396
| ~ spl0_11
| ~ spl0_21 ),
inference(rat,[],[s5556,s523,s3887]) ).
cnf(s5996,plain,
( spl0_98
| spl0_386
| ~ spl0_179
| ~ spl0_422
| spl0_396
| ~ spl0_18
| ~ spl0_11
| spl0_16
| ~ spl0_12
| ~ spl0_25 ),
inference(rat,[],[s939,s5435,s4083,s2226,s5208,s1528,s5209,s4694,s2720,s3376,s2388,s2980,s510,s2375,s2573,s5995,s2197,s5735,s5344,s12,s1856,s138,s658,s3794]) ).
cnf(s5997,plain,
( ~ spl0_45
| ~ spl0_422
| ~ spl0_416
| spl0_396
| ~ spl0_18
| ~ spl0_11
| spl0_16
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s4889,s861,s5574,s3376,s3697,s1724,s1692,s3580,s510,s1011,s3693,s5996,s5994,s81,s5228,s5993,s3794]) ).
cnf(s5998,plain,
( ~ spl0_386
| spl0_45
| ~ spl0_422
| ~ spl0_156
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5442,s374,s99,s3766,s3551,s138]) ).
cnf(s5999,plain,
( spl0_14
| spl0_16
| ~ spl0_9
| ~ spl0_12
| spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s3376,s2980,s510,s4889,s5225,s5574,s3697,s1724,s1692,s3580,s1011,s5996,s5998,s5997,s5228,s81,s5993,s2051,s2598,s2050,s4338,s2014,s10,s5982,s11,s5992,s12,s658,s3794]) ).
cnf(s6000,plain,
( ~ spl0_62
| ~ spl0_67
| ~ spl0_11
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s2884,s99]) ).
cnf(s6001,plain,
( ~ spl0_419
| spl0_396
| ~ spl0_51
| ~ spl0_60
| ~ spl0_422
| ~ spl0_39
| ~ spl0_11
| spl0_16
| ~ spl0_12
| ~ spl0_25 ),
inference(rat,[],[s956,s2665,s3090,s3760,s1533,s3379,s5208,s5435,s5209,s4624,s3376,s2304,s2037,s5556,s2980,s510,s2375,s2573,s5995,s2226,s2197,s5735,s12,s175,s586,s658]) ).
cnf(s6002,plain,
( ~ spl0_98
| ~ spl0_14
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s1011,s1220]) ).
cnf(s6003,plain,
( ~ spl0_114
| ~ spl0_422
| spl0_98
| spl0_62
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5994,s5225,s2644,s5741,s5735,s5344,s138,s3794]) ).
cnf(s6004,plain,
( ~ spl0_422
| spl0_98
| spl0_62
| ~ spl0_39
| ~ spl0_11
| spl0_16
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s4727,s103,s5995,s6001,s4011,s6003,s2197,s5735,s3766,s12,s5344,s138,s3794]) ).
cnf(s6005,plain,
( ~ spl0_114
| ~ spl0_224
| spl0_98
| spl0_62
| ~ spl0_28 ),
inference(rat,[],[s934,s2743,s5107,s5574,s3325,s4098,s5487,s955,s5686,s2644,s5741,s3794,s175,s138]) ).
cnf(s6006,plain,
( ~ spl0_262
| ~ spl0_386
| ~ spl0_224
| ~ spl0_14
| ~ spl0_11
| ~ spl0_21
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s2064,s5442,s2384,s1851,s2575,s2237,s2980,s510,s74,s2209,s2375,s5686,s4717,s5995,s4098,s2197,s28,s4444,s5344,s4011,s6005,s6002,s6000,s2846,s658,s3794]) ).
cnf(s6007,plain,
( ~ spl0_267
| ~ spl0_259
| ~ spl0_386
| ~ spl0_224 ),
inference(rat,[],[s5487,s955]) ).
cnf(s6008,plain,
( ~ spl0_213
| spl0_351
| ~ spl0_27
| spl0_280
| ~ spl0_260 ),
inference(rat,[],[s3052,s2028,s5683]) ).
cnf(s6010,plain,
( ~ spl0_256
| spl0_371
| spl0_15
| ~ spl0_14
| ~ spl0_12 ),
inference(rat,[],[s3478,s2793,s1068,s2930]) ).
cnf(s6011,plain,
( spl0_236
| ~ spl0_274
| spl0_280
| ~ spl0_260
| ~ spl0_11 ),
inference(rat,[],[s873,s2568,s1032,s4502,s175]) ).
cnf(s6012,plain,
( ~ spl0_212
| spl0_272
| ~ spl0_273
| ~ spl0_215
| ~ spl0_220
| ~ spl0_259
| ~ spl0_224 ),
inference(rat,[],[s603,s5335,s3925,s5432,s4164,s586]) ).
cnf(s6013,plain,
( ~ spl0_213
| spl0_280
| ~ spl0_260
| spl0_297
| ~ spl0_285
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s771,s2028,s5681]) ).
cnf(s6014,plain,
( ~ spl0_386
| ~ spl0_14
| spl0_16
| ~ spl0_9
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s2616,s5526,s3295,s520,s3330,s4865,s2081,s4196,s5335,s603,s3824,s2991,s5432,s4164,s3610,s418,s909,s2210,s6013,s4009,s4048,s2568,s5639,s1029,s6011,s5995,s2209,s185,s2237,s1544,s49,s1851,s4403,s1197,s2299,s3555,s3078,s2022,s4767,s1533,s3705,s3716,s861,s3376,s3189,s4694,s2477,s5594,s510,s6007,s939,s5107,s934,s2743,s5574,s6006,s2965,s3261,s4011,s6005,s5576,s3489,s2051,s6004,s28,s4444,s1223,s5344,s6002,s6000,s2846,s11,s5992,s12,s175,s692,s586,s138,s3794]) ).
cnf(s6015,plain,
( ~ spl0_285
| ~ spl0_260
| ~ spl0_51
| ~ spl0_224
| spl0_98
| spl0_62
| spl0_16 ),
inference(rat,[],[s3705,s3716,s2627,s861,s939,s4767,s3376,s5107,s3189,s4694,s934,s2477,s2743,s175]) ).
cnf(s6016,plain,
( ~ spl0_260
| spl0_386
| spl0_396
| ~ spl0_224
| spl0_98
| spl0_62
| ~ spl0_11
| spl0_16
| ~ spl0_12
| ~ spl0_25 ),
inference(rat,[],[s1873,s1544,s2226,s3384,s1528,s4694,s3376,s2980,s2375,s5995,s2229,s2197,s5574,s6015,s12,s5344,s1856,s138,s658,s3794]) ).
cnf(s6017,plain,
( spl0_85
| spl0_386
| spl0_399
| ~ spl0_9 ),
inference(rat,[],[s5565,s2467,s5210,s586]) ).
cnf(s6018,plain,
( ~ spl0_253
| ~ spl0_65
| ~ spl0_259
| ~ spl0_224 ),
inference(rat,[],[s3705,s3716]) ).
cnf(s6019,plain,
( ~ spl0_219
| ~ spl0_355
| spl0_356
| spl0_297
| ~ spl0_285
| ~ spl0_14
| ~ spl0_11
| ~ spl0_12
| ~ spl0_25 ),
inference(rat,[],[s1212,s5638,s5639]) ).
cnf(s6020,plain,
( ~ spl0_216
| spl0_305
| spl0_485
| spl0_236
| spl0_240
| ~ spl0_482
| ~ spl0_11
| ~ spl0_12 ),
inference(rat,[],[s1841,s770,s5651,s5906,s2922,s5508,s3437]) ).
cnf(s6021,plain,
( spl0_262
| ~ spl0_85
| ~ spl0_267
| spl0_396
| ~ spl0_224
| spl0_98
| spl0_62
| spl0_481
| ~ spl0_14
| ~ spl0_11
| ~ spl0_21
| spl0_384
| ~ spl0_12
| ~ spl0_25 ),
inference(rat,[],[s4218,s5681,s5687,s418,s6012,s4196,s2298,s2679,s601,s6020,s2210,s2280,s2925,s5439,s5441,s719,s4048,s2568,s6019,s2980,s6018,s2338,s3717,s2697,s600,s4073,s5521,s1542,s5682,s2039,s5995,s874,s939,s5107,s934,s2743,s3828,s5574,s2846,s3261,s1223,s5344,s138,s692,s586,s175,s658,s3794]) ).
cnf(s6022,plain,
( spl0_16
| ~ spl0_9
| ~ spl0_12
| spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5995,s2573,s2197,s6021,s6017,s510,s6016,s6014,s4011,s6005,s5576,s3489,s2051,s6004,s5344,s6002,s1223,s6000,s2853,s3840,s28,s4444,s2846,s5999,s11,s5992,s3682,s12,s2965,s3794,s138]) ).
cnf(s6023,plain,
( ~ spl0_262
| ~ spl0_11
| ~ spl0_18
| ~ spl0_16
| ~ spl0_12
| ~ spl0_25 ),
inference(rat,[],[s2980,s2388,s2375,s2720,s510,s516,s2714,s5524,s65,s5228,s2758,s379,s658]) ).
cnf(s6028,plain,
( ~ spl0_60
| ~ spl0_253
| ~ spl0_467
| ~ spl0_262
| ~ spl0_18
| spl0_27
| ~ spl0_12
| ~ spl0_25 ),
inference(rat,[],[s3495,s4453,s4034,s5318,s103,s2226,s4898]) ).
cnf(s6029,plain,
( ~ spl0_419
| ~ spl0_422
| ~ spl0_16
| ~ spl0_9
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s6018,s2863,s2627,s939,s4430,s4988,s5596,s4908,s57,s4962,s3766,s6028,s480,s3709,s1724,s3580,s2375,s861,s2388,s2720,s5617,s5594,s510,s2714,s5524,s5735,s65,s81,s5228,s5982,s22,s2758,s379,s175,s138,s658]) ).
cnf(s6030,plain,
( ~ spl0_60
| ~ spl0_11
| ~ spl0_16
| ~ spl0_9
| ~ spl0_12
| ~ spl0_25 ),
inference(rat,[],[s2627,s2396,s2020,s3383,s6017,s2467,s1544,s107,s1521,s5353,s4587,s65,s175,s586]) ).
cnf(s6031,plain,
( ~ spl0_11
| ~ spl0_98
| ~ spl0_422
| ~ spl0_18
| ~ spl0_16
| ~ spl0_9
| ~ spl0_12
| ~ spl0_25 ),
inference(rat,[],[s5272,s3325,s2871,s218,s535,s1181,s1858,s210,s3766,s6030,s5574,s6023,s175,s586,s138,s3794]) ).
cnf(s6032,plain,
( ~ spl0_60
| ~ spl0_10
| spl0_234
| ~ spl0_16
| ~ spl0_9
| ~ spl0_12
| ~ spl0_25 ),
inference(rat,[],[s5596,s510,s3325,s4096,s6018,s4063,s861,s3596,s2863,s480,s5640,s2693,s1679,s1542,s1544,s3383,s2396,s2862,s2467,s107,s103,s5353,s4587,s65,s1724,s81,s2758,s379,s175,s586]) ).
cnf(s6033,plain,
( ~ spl0_285
| ~ spl0_386
| ~ spl0_126
| ~ spl0_62
| ~ spl0_17
| ~ spl0_98
| ~ spl0_28 ),
inference(rat,[],[s5272,s218,s3325,s2871,s4266,s4427,s2349,s5686,s510,s2477,s175,s586]) ).
cnf(s6034,plain,
( spl0_7
| spl0_6
| spl0_5
| ~ spl0_28 ),
inference(rat,[],[s3666,s3715,s939,s5596,s510,s5524,s5574,s6033,s57,s1528,s210,s3766,s6032,s2702,s4,s6031,s1724,s1011,s4843,s6029,s2051,s2050,s10,s5982,s81,s22,s65,s2758,s6022,s5991,s379,s4510,s3,s2856,s3794,s138,s175]) ).
cnf(s6035,plain,
( ~ spl0_14
| ~ spl0_85
| spl0_62
| ~ spl0_9
| spl0_98
| spl0_16
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5995,s2573,s2197,s6021,s510,s6016,s5576,s3489,s2051,s2853,s6004,s4011,s3840,s28,s2644,s4444,s6014,s2846,s2965,s5344,s11,s5992,s12,s1223,s138,s3794]) ).
cnf(s6036,plain,
( ~ spl0_253
| spl0_62
| spl0_98
| ~ spl0_12
| ~ spl0_7 ),
inference(rat,[],[s5107,s934,s3325,s44,s5574,s874,s2791,s4889,s1843,s760,s1545,s175,s3794]) ).
cnf(s6037,plain,
( spl0_62
| ~ spl0_9
| spl0_98
| spl0_16
| ~ spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s31,s4727,s28,s5735,s6004,s2051,s4029,s3887,s5556,s6036,s2014,s5982,s6035,s1545,s5344,s11,s5992,s12,s3794]) ).
cnf(s6038,plain,
( spl0_267
| spl0_234
| ~ spl0_292
| spl0_64 ),
inference(rat,[],[s5596,s1724,s510,s3456]) ).
cnf(s6039,plain,
( ~ spl0_65
| spl0_489
| ~ spl0_482
| ~ spl0_62
| ~ spl0_11
| ~ spl0_240
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s3084,s1836,s3717,s102,s483,s138]) ).
cnf(s6040,plain,
( ~ spl0_253
| ~ spl0_9
| spl0_98
| spl0_16
| ~ spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s4442,s2314,s3840,s1856,s2853,s3481,s4073,s223,s600,s209,s6039,s3379,s2861,s1656,s2299,s4889,s1843,s5344,s760,s99,s11,s5992,s12,s57,s87,s2300,s6037,s586,s3794]) ).
cnf(s6042,plain,
( ~ spl0_219
| spl0_356
| ~ spl0_17
| ~ spl0_280
| ~ spl0_262
| ~ spl0_234
| ~ spl0_355
| spl0_507
| ~ spl0_240
| ~ spl0_21
| ~ spl0_25 ),
inference(rat,[],[s3295,s4219,s5713,s5347,s4183,s3641,s4679,s601,s1722,s5638,s3530,s510,s2573,s586]) ).
cnf(s6043,plain,
( ~ spl0_9
| spl0_98
| spl0_16
| ~ spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s1032,s2236,s4183,s2214,s4679,s601,s5520,s4193,s5713,s2298,s2374,s5434,s2568,s6042,s3382,s3287,s5231,s1177,s2871,s1836,s2064,s5353,s5442,s5996,s4694,s5466,s5228,s3376,s31,s510,s4727,s2573,s5735,s2051,s4029,s3887,s5556,s2980,s3397,s6040,s2014,s5982,s2571,s2247,s57,s99,s6037,s11,s5992,s12,s5344,s760,s586,s175,s138,s658,s3794]) ).
cnf(s6044,plain,
( ~ spl0_422
| ~ spl0_27
| ~ spl0_38
| ~ spl0_419
| spl0_16
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s11,s5990,s5988,s5562,s12,s4442,s2846,s4444]) ).
cnf(s6045,plain,
( spl0_98
| spl0_16
| ~ spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s939,s874,s5596,s5530,s4694,s479,s2477,s3658,s510,s2314,s87,s57,s5574,s4054,s6036,s4889,s1843,s5556,s4027,s2051,s6044,s5982,s2846,s4442,s4444,s19,s2756,s6043,s760,s5344,s12,s586,s3794]) ).
cnf(s6046,plain,
( ~ spl0_224
| spl0_59
| spl0_62
| spl0_14
| ~ spl0_240
| ~ spl0_98
| ~ spl0_12
| ~ spl0_7 ),
inference(rat,[],[s5262,s1836,s1533,s1517,s1866,s4977,s3717,s138,s586]) ).
cnf(s6047,plain,
( ~ spl0_259
| ~ spl0_285
| ~ spl0_79
| ~ spl0_85
| ~ spl0_23
| ~ spl0_11
| spl0_234
| ~ spl0_98
| ~ spl0_12
| ~ spl0_28 ),
inference(rat,[],[s2088,s1533,s2749,s5208,s5318,s28,s1528,s1856,s4442,s5686,s3693,s510,s2477,s3750,s2471,s523,s874,s4427,s586,s138]) ).
cnf(s6048,plain,
( ~ spl0_285
| spl0_62
| spl0_14
| ~ spl0_11
| spl0_234
| ~ spl0_98
| ~ spl0_12
| ~ spl0_7
| ~ spl0_28 ),
inference(rat,[],[s915,s5107,s2470,s3325,s6047,s6046,s2095,s2743,s1692,s15,s1545,s1223,s175,s138]) ).
cnf(s6049,plain,
( ~ spl0_267
| ~ spl0_262
| ~ spl0_98
| ~ spl0_28 ),
inference(rat,[],[s5225,s3693]) ).
cnf(s6050,plain,
( ~ spl0_262
| ~ spl0_240
| spl0_234
| ~ spl0_98
| spl0_16
| ~ spl0_12
| ~ spl0_28 ),
inference(rat,[],[s3376,s1724,s510,s3456,s6049,s2980,s4889,s658]) ).
cnf(s6051,plain,
( ~ spl0_11
| spl0_16
| ~ spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s4767,s1533,s55,s1679,s102,s4587,s3496,s210,s3693,s218,s6038,s5272,s3325,s2871,s535,s1181,s1858,s57,s6048,s5574,s6050,s6002,s1692,s1011,s6045,s586,s175,s3794]) ).
cnf(s6052,plain,
( spl0_16
| ~ spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s4442,s5985,s3028,s1549,s3734,s11,s6051,s6045,s12]) ).
cnf(s6053,plain,
( ~ spl0_11
| ~ spl0_62
| ~ spl0_274
| ~ spl0_482
| ~ spl0_240
| ~ spl0_419
| ~ spl0_9
| ~ spl0_16
| ~ spl0_12
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5686,s6038,s1856,s961,s2349,s4067,s3084,s6039,s3379,s5020,s3325,s874,s1836,s99,s6030,s5228,s5982,s22,s2758,s379,s57,s175,s138]) ).
cnf(s6054,plain,
( spl0_98
| ~ spl0_9
| ~ spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s874,s3379,s4453,s3084,s2349,s5686,s1528,s1836,s6032,s865,s4341,s510,s2477,s2702,s4,s6053,s6036,s1843,s5556,s4027,s2051,s5574,s2861,s6029,s518,s760,s5344,s5982,s22,s6052,s138,s3794]) ).
cnf(s6055,plain,
( ~ spl0_11
| spl0_62
| ~ spl0_98
| ~ spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5574,s6048,s6023,s5982,s22,s6052,s1011,s3794]) ).
cnf(s6056,plain,
( ~ spl0_285
| ~ spl0_386
| ~ spl0_17
| ~ spl0_166
| ~ spl0_65
| spl0_62
| ~ spl0_98
| ~ spl0_16
| ~ spl0_28 ),
inference(rat,[],[s3696,s4063,s933,s4096,s3717,s915,s5107,s2470,s3325,s4427,s5686,s510,s2477,s175]) ).
cnf(s6057,plain,
( spl0_62
| ~ spl0_9
| ~ spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s3705,s861,s939,s2701,s6038,s5476,s6049,s2714,s5574,s6056,s1540,s2251,s2578,s1528,s2702,s4,s6055,s1866,s2627,s2415,s2095,s917,s1109,s1836,s1525,s5982,s22,s6052,s1011,s6054,s3794,s138,s175]) ).
cnf(s6058,plain,
( ~ spl0_11
| ~ spl0_62
| ~ spl0_98
| ~ spl0_18
| ~ spl0_9
| ~ spl0_16
| ~ spl0_12
| ~ spl0_25 ),
inference(rat,[],[s5272,s3325,s2871,s218,s5574,s210,s535,s1181,s1858,s6023,s6030,s175,s586,s3794]) ).
cnf(s6059,plain,
( ~ spl0_12
| ~ spl0_7
| spl0_5
| ~ spl0_28 ),
inference(rat,[],[s3666,s3715,s939,s6038,s6049,s5574,s6033,s210,s1528,s6032,s2702,s4,s6058,s57,s6057,s1011,s6054,s5982,s16,s22,s6052,s2856,s3794,s138]) ).
cnf(s6060,plain,
( spl0_262
| spl0_62
| spl0_98
| spl0_12
| ~ spl0_7 ),
inference(rat,[],[s5420,s4695,s5125,s2980,s1843,s874,s939,s5107,s934,s2743,s5574,s5344,s1545,s658,s3794]) ).
cnf(s6061,plain,
( ~ spl0_285
| ~ spl0_286
| ~ spl0_355
| ~ spl0_419 ),
inference(rat,[],[s5419,s4695]) ).
cnf(s6062,plain,
( ~ spl0_114
| ~ spl0_259
| ~ spl0_262
| spl0_62
| spl0_98
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s2051,s3766,s3489,s3650,s5576,s2412,s6005,s2644,s5344,s1223,s138,s3794]) ).
cnf(s6063,plain,
( spl0_60
| ~ spl0_17
| ~ spl0_234
| ~ spl0_85
| spl0_62
| ~ spl0_240
| ~ spl0_419 ),
inference(rat,[],[s5576,s2064,s3489,s5442,s2051,s1528,s3766,s1223,s138]) ).
cnf(s6064,plain,
( spl0_233
| ~ spl0_504
| ~ spl0_280
| ~ spl0_260
| ~ spl0_234
| ~ spl0_259
| ~ spl0_11
| ~ spl0_85 ),
inference(rat,[],[s3295,s2679,s601,s2298,s1722,s3532,s3530,s602,s2374,s586]) ).
cnf(s6065,plain,
( ~ spl0_56
| spl0_224
| ~ spl0_51
| ~ spl0_17
| ~ spl0_234
| spl0_253
| ~ spl0_259
| ~ spl0_11
| ~ spl0_262
| ~ spl0_79
| ~ spl0_85
| spl0_16
| ~ spl0_240
| ~ spl0_25 ),
inference(rat,[],[s1032,s2236,s4183,s2214,s4679,s601,s5520,s3907,s5713,s3087,s6064,s3320,s4767,s4610,s3376,s510,s2573,s2980,s586,s658]) ).
cnf(s6066,plain,
( ~ spl0_261
| ~ spl0_166
| ~ spl0_51
| ~ spl0_9 ),
inference(rat,[],[s1635,s1882,s2784]) ).
cnf(s6067,plain,
( spl0_244
| ~ spl0_11
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s3027,s3928,s1032,s1695]) ).
cnf(s6068,plain,
( ~ spl0_259
| ~ spl0_9
| ~ spl0_11
| ~ spl0_262
| spl0_62
| spl0_16
| spl0_98
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5347,s4219,s602,s3295,s2374,s5713,s3641,s4183,s4679,s601,s1722,s6066,s1866,s2627,s6065,s2229,s103,s3650,s6063,s4694,s3376,s510,s2573,s4727,s5995,s4011,s6062,s3397,s2980,s1843,s874,s5344,s760,s12,s1545,s1223,s6067,s586,s175,s658,s138,s3794]) ).
cnf(s6069,plain,
( ~ spl0_57
| spl0_59
| spl0_519
| spl0_62
| ~ spl0_476
| spl0_98
| ~ spl0_7 ),
inference(rat,[],[s1866,s2627,s3717,s4964,s3256,s5344,s760,s175,s3794]) ).
cnf(s6070,plain,
( ~ spl0_224
| ~ spl0_60
| spl0_234
| ~ spl0_292
| ~ spl0_262
| ~ spl0_25 ),
inference(rat,[],[s1544,s6038,s3383,s4096,s2229,s5229]) ).
cnf(s6071,plain,
( spl0_267
| ~ spl0_414
| ~ spl0_60
| spl0_234
| spl0_259
| ~ spl0_419
| ~ spl0_25 ),
inference(rat,[],[s103,s3494,s3844,s5594,s6038,s3325,s3379,s175]) ).
cnf(s6072,plain,
( ~ spl0_274
| spl0_234
| ~ spl0_14
| spl0_259
| ~ spl0_244
| ~ spl0_262
| spl0_62
| ~ spl0_476
| spl0_16
| spl0_98
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s600,s4073,s1542,s2853,s3844,s3840,s5524,s5676,s6071,s1866,s1635,s5636,s2871,s3307,s6070,s1836,s6069,s2095,s602,s44,s873,s2791,s5344,s760,s12,s3261,s5101,s3325,s586,s138,s175,s3794]) ).
cnf(s6073,plain,
( spl0_234
| ~ spl0_14
| spl0_259
| ~ spl0_11
| ~ spl0_262
| spl0_62
| ~ spl0_476
| spl0_16
| spl0_98
| ~ spl0_8
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5576,s6005,s5633,s4011,s5359,s5995,s1843,s6072,s5344,s12,s1223,s6067,s3325,s175,s138,s3794]) ).
cnf(s6074,plain,
( spl0_60
| ~ spl0_234
| spl0_259
| spl0_62
| spl0_16
| spl0_98
| ~ spl0_7 ),
inference(rat,[],[s4767,s1533,s56,s1866,s2064,s3717,s5576,s3189,s2676,s6063,s1836,s5344,s760,s1545,s1223,s3325,s586,s138,s175,s3794]) ).
cnf(s6075,plain,
( ~ spl0_234
| spl0_259
| ~ spl0_262
| spl0_62
| spl0_16
| spl0_98
| ~ spl0_7
| ~ spl0_25 ),
inference(rat,[],[s1679,s4767,s1544,s1533,s3383,s1866,s2229,s3717,s3495,s103,s6074,s5594,s3456,s2573,s4727,s760,s3379,s5344,s586,s3794]) ).
cnf(s6076,plain,
( ~ spl0_9
| ~ spl0_11
| spl0_62
| spl0_16
| spl0_98
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5262,s1533,s2095,s1836,s1866,s44,s6070,s3717,s2791,s5576,s5995,s3489,s2014,s4893,s5982,s6073,s6075,s3325,s6068,s4510,s5344,s760,s4701,s12,s1223,s6060,s586,s138,s175,s3794]) ).
cnf(s6077,plain,
( ~ spl0_259
| spl0_234
| ~ spl0_11
| ~ spl0_262
| ~ spl0_85
| spl0_62
| ~ spl0_21
| spl0_98
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s4011,s5995,s6062,s874,s5344,s3794]) ).
cnf(s6078,plain,
( spl0_234
| ~ spl0_11
| spl0_62
| spl0_16
| spl0_98
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s4964,s1533,s1836,s1866,s6070,s3717,s5576,s3489,s4893,s5982,s5101,s6073,s3325,s6077,s4510,s5344,s760,s4701,s12,s1545,s1223,s6060,s586,s138,s175,s3794]) ).
cnf(s6079,plain,
( ~ spl0_11
| spl0_62
| spl0_16
| spl0_98
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s4430,s4914,s2871,s4615,s2229,s103,s3650,s6063,s4694,s3376,s2980,s3198,s1843,s2039,s874,s510,s6075,s2573,s4727,s6078,s2759,s2756,s6076,s5344,s760,s1545,s6060,s586,s658,s3794]) ).
cnf(s6080,plain,
( ~ spl0_267
| ~ spl0_38
| ~ spl0_240
| spl0_98
| spl0_12
| ~ spl0_28 ),
inference(rat,[],[s4029,s4893,s5556,s5982,s4077,s5676,s5649,s5344,s3794]) ).
cnf(s6081,plain,
( spl0_62
| spl0_16
| spl0_98
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s3029,s3454,s3198,s4693,s2039,s5678,s6075,s4803,s3671,s510,s6080,s2759,s3028,s1549,s3734,s11,s6079,s6060,s1545,s5344,s760,s12,s3794]) ).
cnf(s6082,plain,
( ~ spl0_259
| ~ spl0_85
| ~ spl0_285
| ~ spl0_62
| spl0_98
| ~ spl0_7 ),
inference(rat,[],[s2471,s1843,s15,s874,s5371,s760,s934,s2743]) ).
cnf(s6083,plain,
( ~ spl0_11
| spl0_262
| spl0_234
| spl0_16
| spl0_98
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s3551,s2314,s1856,s1836,s5640,s3084,s2871,s3717,s483,s600,s4073,s2853,s1679,s3840,s81,s6080,s6038,s3379,s3325,s6082,s99,s760,s12,s57,s87,s6081,s5574,s2861,s5344,s138,s586,s175,s3794]) ).
cnf(s6084,plain,
( ~ spl0_397
| spl0_234
| spl0_16
| ~ spl0_240
| spl0_98
| spl0_12
| ~ spl0_28 ),
inference(rat,[],[s6080,s3671,s3028,s1549]) ).
cnf(s6085,plain,
( ~ spl0_259
| ~ spl0_85
| ~ spl0_62
| spl0_98
| spl0_12
| ~ spl0_7 ),
inference(rat,[],[s5556,s4029,s4893,s1843,s5982,s874,s5371,s5344,s760,s3794]) ).
cnf(s6086,plain,
( spl0_234
| spl0_16
| spl0_98
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s483,s3717,s2627,s2863,s4767,s5640,s1679,s1856,s81,s2314,s6080,s5225,s6038,s3325,s6085,s6083,s99,s11,s3734,s6084,s760,s12,s57,s6081,s175]) ).
cnf(s6087,plain,
( ~ spl0_260
| ~ spl0_285
| ~ spl0_292
| spl0_64
| spl0_98 ),
inference(rat,[],[s4694,s5596,s2477]) ).
cnf(s6088,plain,
( spl0_262
| ~ spl0_11
| spl0_16
| spl0_98
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s2471,s1843,s15,s873,s2847,s2568,s1836,s5636,s3084,s1635,s3717,s483,s2824,s600,s4073,s2853,s3840,s6080,s510,s6087,s3200,s934,s2470,s2743,s2861,s5574,s760,s12,s57,s87,s6067,s3325,s3379,s6085,s99,s6081,s5344,s175,s138,s586,s3794]) ).
cnf(s6089,plain,
( ~ spl0_11
| spl0_16
| spl0_98
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s4767,s1533,s55,s483,s2064,s3717,s2240,s5596,s2309,s1679,s510,s3456,s2573,s6088,s3325,s6085,s99,s760,s57,s6081,s6086,s586,s175]) ).
cnf(s6090,plain,
( spl0_16
| spl0_98
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5223,s2627,s3256,s5033,s2096,s5218,s4693,s1644,s5678,s108,s416,s1836,s4803,s3551,s510,s2314,s3454,s4744,s6080,s3029,s3028,s3734,s11,s6089,s6086,s87,s57,s6081,s12,s4510,s5344,s760,s175,s138,s3794]) ).
cnf(s6091,plain,
( spl0_62
| ~ spl0_274
| spl0_413
| ~ spl0_554
| ~ spl0_16
| spl0_98
| spl0_12
| ~ spl0_7
| ~ spl0_25 ),
inference(rat,[],[s4968,s1533,s1836,s1866,s6070,s2064,s3717,s3379,s3325,s5576,s874,s107,s3489,s6060,s1223,s1545,s5344,s760,s586,s138,s175,s3794]) ).
cnf(s6095,plain,
( ~ spl0_386
| ~ spl0_60
| ~ spl0_62
| ~ spl0_28 ),
inference(rat,[],[s3551,s2314]) ).
cnf(s6096,plain,
( ~ spl0_215
| spl0_272
| ~ spl0_220
| ~ spl0_242
| ~ spl0_212
| ~ spl0_224
| ~ spl0_259
| ~ spl0_62 ),
inference(rat,[],[s2293,s4196,s5069,s6012,s692]) ).
cnf(s6097,plain,
( spl0_244
| ~ spl0_212
| spl0_17
| spl0_41
| ~ spl0_224
| spl0_280
| ~ spl0_260
| spl0_234
| ~ spl0_259
| ~ spl0_62
| spl0_98
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s2984,s2815,s5651,s520,s1001,s5526,s2616,s6096,s2210,s2614,s2568,s2931,s4502,s3027,s3928,s3305,s1695,s2288,s57,s2349,s3437,s175]) ).
cnf(s6098,plain,
( ~ spl0_285
| spl0_41
| ~ spl0_224
| spl0_280
| ~ spl0_260
| spl0_234
| ~ spl0_259
| ~ spl0_62
| ~ spl0_274
| spl0_297
| spl0_98
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s3027,s3928,s4502,s5639,s602,s873,s6097,s418,s6013,s2477,s586,s138]) ).
cnf(s6099,plain,
( ~ spl0_259
| spl0_98
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s2229,s3650,s5574,s6098,s2203,s1533,s6018,s3495,s1724,s5594,s510,s3456,s2805,s6080,s2759,s2756,s6017,s1856,s6095,s5572,s4902,s4453,s2467,s874,s760,s777,s5595,s4510,s934,s44,s928,s2766,s6091,s1843,s5556,s4029,s5344,s4893,s5221,s5982,s22,s6090,s3794,s586,s175]) ).
cnf(s6100,plain,
( spl0_85
| ~ spl0_9
| ~ spl0_62
| spl0_399
| ~ spl0_8
| ~ spl0_28 ),
inference(rat,[],[s3551,s2314,s5572,s6017,s4902,s2467,s586]) ).
cnf(s6101,plain,
( ~ spl0_224
| ~ spl0_85
| ~ spl0_179
| ~ spl0_267
| ~ spl0_292
| ~ spl0_62
| ~ spl0_240
| ~ spl0_419
| ~ spl0_28 ),
inference(rat,[],[s4083,s1856,s481,s5686,s3717,s2349]) ).
cnf(s6102,plain,
( spl0_234
| spl0_489
| ~ spl0_292
| spl0_64
| ~ spl0_62
| spl0_399
| ~ spl0_18
| ~ spl0_240
| spl0_98
| spl0_12
| ~ spl0_28 ),
inference(rat,[],[s2861,s3084,s5225,s1836,s2314,s6095,s1856,s5640,s2871,s6101,s6100,s1679,s5228,s81,s2756,s6080,s6038,s4510,s5344,s138,s586,s3794,s175]) ).
cnf(s6103,plain,
( spl0_98
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s2064,s2240,s107,s5596,s2309,s6100,s510,s2756,s4341,s2758,s865,s2782,s6102,s3379,s3325,s6099,s57,s6091,s1843,s5556,s4029,s4893,s5221,s5595,s5982,s22,s6090,s760,s5344,s4510,s175,s3794]) ).
cnf(s6104,plain,
( spl0_267
| ~ spl0_355
| spl0_16
| spl0_234 ),
inference(rat,[],[s3376,s1724,s510,s3456]) ).
cnf(s6109,plain,
( ~ spl0_211
| spl0_305
| ~ spl0_215
| ~ spl0_244
| ~ spl0_14
| ~ spl0_240
| ~ spl0_98 ),
inference(rat,[],[s603,s4242,s4182,s4691,s3258,s5222,s5906,s3641,s586]) ).
cnf(s6110,plain,
( ~ spl0_314
| spl0_526
| spl0_523
| spl0_88
| ~ spl0_85 ),
inference(rat,[],[s3903,s3913,s4195]) ).
cnf(s6111,plain,
( ~ spl0_232
| ~ spl0_211
| spl0_272
| ~ spl0_244
| ~ spl0_14
| ~ spl0_64
| spl0_224
| spl0_371
| ~ spl0_267
| ~ spl0_240
| ~ spl0_85
| ~ spl0_98
| ~ spl0_28 ),
inference(rat,[],[s2281,s6109,s5069,s601,s4831,s4196,s4210,s4183,s4924,s586,s692]) ).
cnf(s6112,plain,
( ~ spl0_14
| ~ spl0_166
| ~ spl0_267
| ~ spl0_240
| ~ spl0_259
| ~ spl0_21
| spl0_62
| ~ spl0_98
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s2616,s4831,s6109,s4196,s2281,s2298,s5398,s5434,s2568,s4497,s6111,s417,s4527,s6110,s3231,s2210,s1635,s6067,s4086,s4,s2756,s5676,s3261,s3742,s1223,s3696,s5574,s6049,s4001,s2701,s5486,s2980,s2299,s3555,s1545,s1679,s3497,s1528,s3189,s3693,s5640,s2871,s3717,s1856,s5686,s4427,s1011,s175,s692,s138,s586,s658,s3794]) ).
cnf(s6113,plain,
( ~ spl0_219
| spl0_291
| spl0_272
| ~ spl0_244
| ~ spl0_18
| ~ spl0_64
| spl0_224
| ~ spl0_267
| spl0_545
| ~ spl0_240
| ~ spl0_85
| ~ spl0_28 ),
inference(rat,[],[s4234,s5347,s5069,s3641,s601,s4831,s4196,s4210,s4183,s4924,s4497,s586,s692]) ).
cnf(s6114,plain,
( ~ spl0_218
| ~ spl0_304
| ~ spl0_273
| spl0_305
| spl0_272
| ~ spl0_166 ),
inference(rat,[],[s1890,s5335,s4242]) ).
cnf(s6115,plain,
( ~ spl0_240
| ~ spl0_259
| spl0_16
| spl0_62
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s417,s1141,s3258,s418,s4182,s3925,s603,s6114,s5906,s3641,s601,s4831,s4196,s2298,s5434,s2568,s6113,s2280,s3231,s2210,s1635,s6067,s11,s3660,s5678,s5473,s5982,s6112,s1679,s3497,s1528,s3189,s5640,s2871,s3717,s1866,s2627,s4839,s5116,s4011,s5658,s2644,s1856,s3742,s5574,s5686,s6049,s3693,s6104,s5359,s2980,s2299,s3555,s4510,s3580,s1011,s3261,s1545,s1223,s12,s4427,s6103,s138,s586,s692,s175,s3794,s658]) ).
cnf(s6116,plain,
( ~ spl0_259
| spl0_16
| spl0_62
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s2299,s861,s3905,s5374,s3029,s5574,s5686,s5225,s3671,s5985,s3028,s1549,s3734,s11,s1692,s4148,s6115,s4427,s1011,s6103,s1545,s4701,s12,s3794,s175]) ).
cnf(s6117,plain,
( spl0_267
| ~ spl0_253
| ~ spl0_292
| spl0_16
| ~ spl0_85
| spl0_234
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5636,s602,s1737,s873,s6011,s523,s6067,s5442,s11,s5598,s3734,s2438,s1190,s1549,s4858,s2309,s1724,s3671,s510,s3456,s3580,s12,s586]) ).
cnf(s6118,plain,
( ~ spl0_267
| ~ spl0_240
| spl0_259
| spl0_62
| ~ spl0_98
| ~ spl0_7
| ~ spl0_28 ),
inference(rat,[],[s5262,s1836,s1533,s4693,s3661,s1866,s4977,s3717,s915,s2095,s5107,s2470,s44,s5574,s2811,s6049,s3693,s1545,s3325,s138,s586,s3794,s175]) ).
cnf(s6119,plain,
( spl0_267
| ~ spl0_292
| spl0_16
| ~ spl0_85
| spl0_234
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s861,s6117,s6104]) ).
cnf(s6120,plain,
( spl0_244
| ~ spl0_444
| ~ spl0_297
| ~ spl0_8
| ~ spl0_7 ),
inference(rat,[],[s601,s4398,s911,s1695,s5040,s586]) ).
cnf(s6121,plain,
( ~ spl0_212
| ~ spl0_220
| ~ spl0_215
| spl0_272
| ~ spl0_273
| ~ spl0_162
| ~ spl0_249
| ~ spl0_224
| ~ spl0_267
| ~ spl0_98
| ~ spl0_28 ),
inference(rat,[],[s4057,s5335,s2390,s603,s3634,s3925,s4164,s4178,s586]) ).
cnf(s6122,plain,
( spl0_16
| spl0_62
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s2390,s5212,s5586,s5623,s5716,s2431,s5409,s599,s3235,s728,s3016,s2787,s417,s1649,s1141,s418,s6121,s2568,s601,s4497,s1029,s699,s3231,s2210,s4196,s3957,s520,s5712,s4210,s4263,s4184,s6120,s3188,s4767,s1533,s3538,s2847,s3383,s3844,s3198,s1544,s1528,s3029,s1856,s4077,s4065,s2759,s3028,s1549,s3757,s5595,s1869,s3734,s861,s4961,s915,s3750,s11,s5374,s5564,s5107,s2470,s5514,s1692,s4148,s5617,s3742,s5574,s6118,s6049,s6119,s3325,s6116,s4701,s12,s4510,s1011,s6103,s3261,s1545,s1223,s3374,s586,s138,s175,s692,s658,s3794]) ).
cnf(s6123,plain,
( ~ spl0_224
| ~ spl0_240
| spl0_59
| spl0_14
| spl0_62
| ~ spl0_98
| ~ spl0_7 ),
inference(rat,[],[s5262,s1836,s1533,s3661,s1866,s4977,s3717,s1545,s138,s586]) ).
cnf(s6124,plain,
( spl0_215
| spl0_272
| spl0_224
| ~ spl0_240
| ~ spl0_259
| ~ spl0_85 ),
inference(rat,[],[s3936,s5347,s3241,s602,s5434,s2298,s5077,s4196,s5528,s2616,s2980,s2299,s3555,s175,s586,s692,s658]) ).
cnf(s6126,plain,
( ~ spl0_213
| ~ spl0_167
| spl0_356
| ~ spl0_355
| spl0_280
| ~ spl0_260 ),
inference(rat,[],[s2775,s2028,s5687]) ).
cnf(s6127,plain,
( spl0_244
| ~ spl0_262
| spl0_356
| ~ spl0_355
| ~ spl0_98
| ~ spl0_7 ),
inference(rat,[],[s5244,s5246,s2568,s5638,s1695,s175]) ).
cnf(s6128,plain,
( ~ spl0_240
| spl0_267
| ~ spl0_259
| spl0_14
| ~ spl0_16
| spl0_62
| spl0_234
| ~ spl0_98
| spl0_12
| ~ spl0_7
| ~ spl0_25 ),
inference(rat,[],[s952,s3258,s599,s6124,s5409,s2210,s1635,s6127,s417,s3831,s5716,s2290,s3004,s1090,s5436,s5512,s418,s6126,s1866,s2627,s5262,s1836,s3650,s2412,s1856,s5640,s2871,s6123,s2758,s5574,s5466,s5658,s3493,s1734,s4883,s2392,s2304,s5125,s2980,s1679,s2299,s1666,s3555,s3580,s3261,s2095,s44,s925,s107,s1545,s510,s1724,s3456,s586,s138,s175,s3794,s658]) ).
cnf(s6129,plain,
( ~ spl0_224
| ~ spl0_253
| ~ spl0_262
| ~ spl0_259
| spl0_59
| spl0_14 ),
inference(rat,[],[s1836,s5262,s3650,s1533,s2229,s6018,s138,s586]) ).
cnf(s6130,plain,
( ~ spl0_253
| ~ spl0_262
| ~ spl0_450
| ~ spl0_259
| spl0_59
| spl0_14
| ~ spl0_16
| spl0_453
| ~ spl0_25 ),
inference(rat,[],[s5262,s1533,s1836,s3705,s3650,s2578,s2412,s1856,s2372,s6129,s586,s138]) ).
cnf(s6131,plain,
( ~ spl0_236
| ~ spl0_244
| ~ spl0_159
| ~ spl0_16
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s722,s4217,s1029]) ).
cnf(s6132,plain,
( ~ spl0_216
| spl0_305
| spl0_242
| spl0_271
| ~ spl0_38
| spl0_240
| spl0_234
| ~ spl0_7 ),
inference(rat,[],[s4280,s767,s520,s5906,s5526,s5508]) ).
cnf(s6133,plain,
( ~ spl0_224
| spl0_242
| ~ spl0_220
| spl0_271
| ~ spl0_212
| ~ spl0_244
| ~ spl0_38
| ~ spl0_262
| spl0_240
| ~ spl0_259
| spl0_59
| spl0_14
| spl0_62
| spl0_234
| ~ spl0_7 ),
inference(rat,[],[s2298,s4196,s1120,s6012,s601,s6132,s2280,s2210,s1635,s1866,s2627,s5262,s1836,s3650,s2229,s3261,s1545,s3660,s5982,s692,s586,s175,s138]) ).
cnf(s6134,plain,
( spl0_267
| ~ spl0_259
| spl0_62
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s4196,s5335,s2210,s2298,s603,s1090,s1635,s1120,s3925,s1866,s601,s2627,s6132,s3089,s3616,s6133,s5244,s5246,s2568,s910,s4502,s6131,s5512,s418,s6126,s6127,s2304,s5517,s2980,s6130,s2758,s2759,s2756,s2371,s5564,s5563,s4961,s2338,s5617,s6128,s1724,s510,s3456,s1011,s6103,s3261,s4501,s1507,s5595,s22,s4510,s2095,s44,s925,s107,s6122,s1545,s692,s586,s175,s138,s658]) ).
cnf(s6135,plain,
( ~ spl0_240
| ~ spl0_285
| spl0_386
| spl0_64
| spl0_45
| ~ spl0_259
| spl0_59
| spl0_14
| spl0_62
| spl0_234
| ~ spl0_98
| ~ spl0_7 ),
inference(rat,[],[s3497,s1528,s1679,s3750,s5640,s2471,s2871,s2299,s6123,s3555,s1545,s15,s1856,s138,s586]) ).
cnf(s6136,plain,
( ~ spl0_259
| spl0_62
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5564,s4961,s5617,s6135,s5574,s5686,s5682,s6049,s3693,s6134,s4427,s1011,s6103,s1638,s5595,s22,s4510,s2095,s44,s925,s107,s6122,s1545,s658,s3794,s175]) ).
cnf(s6137,plain,
( spl0_267
| ~ spl0_292
| spl0_59
| spl0_14
| ~ spl0_16
| spl0_234
| ~ spl0_25 ),
inference(rat,[],[s5262,s1836,s1533,s3383,s2244,s2412,s5598,s2438,s1544,s4858,s6038,s510,s3580,s138,s586]) ).
cnf(s6138,plain,
( spl0_62
| spl0_12
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5564,s4961,s5617,s6118,s6049,s6137,s3325,s6136,s2095,s44,s925,s5595,s107,s22,s6122,s1545,s4510,s1011,s6103,s658,s175]) ).
cnf(s6139,plain,
( spl0_267
| spl0_16
| ~ spl0_259
| ~ spl0_81
| ~ spl0_62
| spl0_234
| ~ spl0_98 ),
inference(rat,[],[s4678,s5530,s861,s479,s6104,s3671,s12,s586]) ).
cnf(s6140,plain,
( ~ spl0_240
| ~ spl0_355
| ~ spl0_166
| ~ spl0_85
| spl0_386
| spl0_45
| ~ spl0_285
| ~ spl0_259
| spl0_64
| ~ spl0_62
| spl0_234 ),
inference(rat,[],[s3497,s1679,s1528,s5640,s3750,s2871,s5473,s3717,s5371,s1856,s138,s586]) ).
cnf(s6141,plain,
( spl0_16
| ~ spl0_259
| ~ spl0_62
| ~ spl0_98
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s1692,s6140,s2980,s483,s4678,s600,s5530,s4073,s11,s479,s2853,s3734,s3658,s3029,s5686,s3693,s6139,s12,s1011,s57,s87,s4427,s5574,s3666,s3715,s658,s586,s3794]) ).
cnf(s6142,plain,
( spl0_267
| spl0_399
| ~ spl0_23
| ~ spl0_259
| spl0_64
| ~ spl0_62
| spl0_234
| ~ spl0_98
| ~ spl0_8
| ~ spl0_28 ),
inference(rat,[],[s3538,s2788,s2863,s5640,s1856,s6095,s5572,s4902,s2467,s4678,s2471,s3750,s2477,s1679,s510,s3456,s5574,s3666,s3715,s586,s3794]) ).
cnf(s6143,plain,
( spl0_85
| ~ spl0_240
| ~ spl0_267
| spl0_399
| ~ spl0_23
| ~ spl0_285
| ~ spl0_62
| ~ spl0_98
| ~ spl0_8
| ~ spl0_28 ),
inference(rat,[],[s3538,s2788,s915,s2471,s4054,s2756,s5572,s6100,s4902,s2467,s5679,s586]) ).
cnf(s6144,plain,
( ~ spl0_240
| spl0_399
| ~ spl0_23
| ~ spl0_259
| spl0_64
| ~ spl0_62
| spl0_234
| ~ spl0_98
| spl0_12
| ~ spl0_28 ),
inference(rat,[],[s1533,s4839,s481,s5116,s6140,s5658,s2980,s4678,s6143,s3580,s5574,s3666,s3715,s3693,s5686,s6142,s4510,s4427,s586,s658,s175,s3794]) ).
cnf(s6145,plain,
( ~ spl0_259
| ~ spl0_62
| ~ spl0_98
| spl0_12
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5564,s4961,s5617,s6144,s5595,s15,s22,s6141,s3666,s3715,s4510,s1011,s57,s658,s175]) ).
cnf(s6146,plain,
( spl0_85
| ~ spl0_240
| spl0_16
| ~ spl0_267
| ~ spl0_81
| ~ spl0_62
| ~ spl0_98
| ~ spl0_8
| ~ spl0_28 ),
inference(rat,[],[s6143,s5595,s15,s5676,s3840,s479,s5530,s5574,s6049,s12,s586,s3794]) ).
cnf(s6147,plain,
( ~ spl0_14
| ~ spl0_85
| ~ spl0_240
| ~ spl0_292
| spl0_64
| ~ spl0_62
| spl0_234
| ~ spl0_98
| ~ spl0_28 ),
inference(rat,[],[s6095,s210,s1856,s218,s5640,s5272,s1679,s2871,s81,s4977,s5676,s5363,s4693,s5574,s6049,s6038,s586,s3794]) ).
cnf(s6148,plain,
( ~ spl0_253
| ~ spl0_240
| spl0_16
| ~ spl0_292
| ~ spl0_62
| spl0_234
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5636,s3307,s1635,s3717,s602,s483,s873,s600,s523,s6067,s4073,s4,s2853,s3401,s3840,s81,s2756,s4054,s87,s2288,s6038,s57,s12,s586]) ).
cnf(s6149,plain,
( ~ spl0_297
| spl0_182
| ~ spl0_267
| ~ spl0_62
| spl0_234
| ~ spl0_98
| ~ spl0_28 ),
inference(rat,[],[s1528,s5686,s3538,s2349,s2788,s915,s3750,s138]) ).
cnf(s6150,plain,
( ~ spl0_240
| spl0_16
| spl0_297
| ~ spl0_292
| ~ spl0_62
| ~ spl0_98
| ~ spl0_8
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s15,s2471,s6147,s6148,s6146,s87,s5574,s6049,s6038,s1011,s57,s3794]) ).
cnf(s6151,plain,
( spl0_16
| spl0_297
| ~ spl0_292
| ~ spl0_62
| ~ spl0_98
| ~ spl0_8
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s3029,s6095,s3734,s416,s11,s3739,s1692,s6150,s12,s87,s5574,s6049,s6038,s1011,s57,s138,s3794]) ).
cnf(s6152,plain,
( ~ spl0_224
| ~ spl0_253
| ~ spl0_16
| ~ spl0_267
| ~ spl0_62
| ~ spl0_98
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5262,s111,s1533,s1528,s1836,s4063,s5686,s3538,s4096,s2349,s2788,s22,s586,s138]) ).
cnf(s6153,plain,
( ~ spl0_386
| spl0_131
| ~ spl0_267
| ~ spl0_62
| ~ spl0_98
| ~ spl0_28 ),
inference(rat,[],[s218,s210,s4266,s6095,s5686]) ).
cnf(s6154,plain,
( ~ spl0_7
| spl0_5
| ~ spl0_28 ),
inference(rat,[],[s3188,s5640,s5486,s1856,s6153,s5272,s2871,s6152,s2471,s15,s22,s6151,s6149,s2470,s5574,s6049,s6038,s3325,s6145,s57,s6138,s1011,s6103,s4510,s6059,s2856,s586,s3794,s175]) ).
cnf(s6155,plain,
( ~ spl0_12
| spl0_5
| ~ spl0_28 ),
inference(rat,[],[s1011,s6032,s4843,s4,s6029,s6023,s2051,s1109,s5574,s2050,s917,s2743,s10,s8,s5982,s22,s6022,s5991,s2856,s6034,s6154,s138,s3794]) ).
cnf(s6156,plain,
( spl0_267
| spl0_16
| ~ spl0_259
| spl0_62
| spl0_234
| spl0_98
| spl0_5
| ~ spl0_28 ),
inference(rat,[],[s1836,s4529,s3256,s3705,s6018,s2627,s2095,s8,s4571,s44,s5679,s2791,s6077,s523,s11,s3734,s5574,s1549,s861,s2477,s3671,s6104,s510,s2856,s4510,s6155,s5344,s12,s9,s6034,s6154,s138,s175,s3794]) ).
cnf(s6157,plain,
( ~ spl0_224
| ~ spl0_14
| spl0_16
| ~ spl0_259
| spl0_62
| spl0_234
| spl0_98
| spl0_5
| ~ spl0_28 ),
inference(rat,[],[s3905,s3029,s3028,s3734,s11,s523,s2299,s874,s5679,s4571,s1533,s3705,s5556,s4529,s3887,s1528,s4011,s6007,s6005,s4510,s6155,s5344,s12,s9,s6034,s6154,s6156,s586,s138,s3794,s175]) ).
cnf(s6158,plain,
( ~ spl0_14
| spl0_16
| ~ spl0_259
| spl0_62
| spl0_234
| spl0_98
| spl0_5
| ~ spl0_28 ),
inference(rat,[],[s5640,s1679,s1856,s81,s5487,s2765,s3844,s3652,s5225,s5524,s3766,s5735,s2051,s3489,s5576,s2871,s6157,s2856,s5344,s1223,s6156,s138,s586,s3794]) ).
cnf(s6159,plain,
( ~ spl0_18
| spl0_12
| spl0_7 ),
inference(rat,[],[s2049,s10,s4893]) ).
cnf(s6160,plain,
( spl0_267
| spl0_259
| ~ spl0_79
| spl0_234
| ~ spl0_419
| ~ spl0_476
| ~ spl0_17
| spl0_16
| ~ spl0_14
| ~ spl0_25 ),
inference(rat,[],[s4783,s4098,s2627,s5576,s4964,s2676,s1836,s3383,s2412,s5598,s2438,s5574,s1544,s861,s4858,s2477,s6038,s6104,s510,s3580,s5101,s3325,s175,s138,s3794]) ).
cnf(s6161,plain,
( ~ spl0_285
| ~ spl0_292
| spl0_62
| spl0_98 ),
inference(rat,[],[s934,s5107,s2743]) ).
cnf(s6162,plain,
( spl0_60
| ~ spl0_262
| ~ spl0_267
| spl0_259
| ~ spl0_79
| ~ spl0_419
| ~ spl0_17
| ~ spl0_28 ),
inference(rat,[],[s4098,s5576,s5686,s2676,s1528,s1836,s3325,s138,s175]) ).
cnf(s6164,plain,
( ~ spl0_244
| ~ spl0_274
| ~ spl0_166
| spl0_294
| ~ spl0_292 ),
inference(rat,[],[s5636,s602,s1635,s873,s586]) ).
cnf(s6165,plain,
( spl0_62
| spl0_234
| spl0_98
| spl0_16
| spl0_5
| ~ spl0_28 ),
inference(rat,[],[s5713,s3295,s3922,s601,s2568,s1001,s5358,s5651,s1068,s3810,s1029,s1032,s6164,s44,s925,s523,s2697,s55,s5359,s600,s5640,s5633,s4073,s1679,s1542,s5576,s2871,s3307,s3844,s6070,s4,s6162,s2853,s3401,s3840,s81,s2756,s2765,s5225,s5524,s5574,s6161,s6160,s3325,s6158,s1223,s3261,s2856,s4510,s5982,s6159,s9,s6034,s6154,s4701,s12,s6155,s5344,s586,s175,s3437,s3794,s138]) ).
cnf(s6166,plain,
( spl0_267
| ~ spl0_146
| ~ spl0_81
| spl0_64
| spl0_234
| spl0_16
| ~ spl0_14 ),
inference(rat,[],[s600,s4440,s4073,s5053,s2853,s861,s3671,s6104,s12,s586,s3794]) ).
cnf(s6167,plain,
( spl0_65
| ~ spl0_386
| ~ spl0_81
| spl0_64
| spl0_16
| ~ spl0_14
| ~ spl0_8
| ~ spl0_6
| ~ spl0_28 ),
inference(rat,[],[s3454,s3840,s4693,s2853,s5679,s4073,s4571,s600,s1533,s12,s586]) ).
cnf(s6168,plain,
( spl0_38
| ~ spl0_259
| ~ spl0_62
| spl0_234
| spl0_16
| ~ spl0_14
| ~ spl0_8
| ~ spl0_28 ),
inference(rat,[],[s1692,s5371,s4,s6100,s3401,s3682,s81,s2756]) ).
cnf(s6169,plain,
( ~ spl0_259
| ~ spl0_81
| spl0_64
| ~ spl0_62
| spl0_234
| spl0_98
| spl0_16
| ~ spl0_14
| spl0_12
| ~ spl0_6
| ~ spl0_28 ),
inference(rat,[],[s5708,s6167,s5487,s3029,s3734,s11,s1692,s6080,s6168,s4510,s12,s6166,s241,s9,s175]) ).
cnf(s6170,plain,
( spl0_60
| spl0_489
| ~ spl0_267
| ~ spl0_62
| ~ spl0_419
| ~ spl0_17
| ~ spl0_28 ),
inference(rat,[],[s3084,s2861,s2349,s5225,s5686,s2314,s1528,s1836,s138]) ).
cnf(s6171,plain,
( spl0_234
| spl0_98
| spl0_16
| spl0_5
| ~ spl0_28 ),
inference(rat,[],[s2847,s2824,s5248,s5111,s3481,s1856,s6095,s6170,s3379,s3325,s6169,s6166,s241,s87,s57,s6165,s2856,s5982,s6159,s6155,s12,s9,s6034,s6154,s5344,s175,s3794]) ).
cnf(s6172,plain,
( spl0_60
| ~ spl0_162
| spl0_62
| ~ spl0_234
| ~ spl0_419
| ~ spl0_17 ),
inference(rat,[],[s5576,s2228,s3489,s2248,s2051,s1528,s3766,s1223,s138]) ).
cnf(s6173,plain,
( ~ spl0_56
| ~ spl0_11
| ~ spl0_240
| ~ spl0_517
| spl0_224
| ~ spl0_51
| ~ spl0_64
| ~ spl0_262
| ~ spl0_259
| ~ spl0_79
| ~ spl0_234
| ~ spl0_17
| spl0_16
| ~ spl0_25 ),
inference(rat,[],[s6065,s2376,s4614]) ).
cnf(s6174,plain,
( ~ spl0_216
| ~ spl0_280
| ~ spl0_282
| ~ spl0_51
| ~ spl0_238
| spl0_27
| ~ spl0_17
| ~ spl0_25 ),
inference(rat,[],[s5214,s5712,s5651,s2784,s1058,s1722,s3437]) ).
cnf(s6175,plain,
( ~ spl0_38
| ~ spl0_215
| ~ spl0_11
| ~ spl0_240
| ~ spl0_262
| ~ spl0_234
| ~ spl0_17
| ~ spl0_21
| ~ spl0_25 ),
inference(rat,[],[s4219,s3528,s5347,s602,s2374,s5713,s520,s4183,s1032,s2236,s5061,s2805,s4744,s2759,s4679,s586]) ).
cnf(s6176,plain,
( ~ spl0_236
| ~ spl0_215
| ~ spl0_262
| ~ spl0_234
| ~ spl0_17
| ~ spl0_25 ),
inference(rat,[],[s5713,s2214,s3295,s2236]) ).
cnf(s6177,plain,
( ~ spl0_64
| spl0_267
| ~ spl0_259
| spl0_453
| spl0_62
| ~ spl0_234
| ~ spl0_419
| spl0_16
| ~ spl0_14
| ~ spl0_6
| ~ spl0_25 ),
inference(rat,[],[s2374,s2568,s5713,s5347,s4183,s4219,s770,s1032,s6176,s3397,s2756,s6175,s4589,s4679,s601,s6174,s3376,s4570,s2980,s3705,s2627,s6173,s11,s2384,s4914,s3734,s5563,s4430,s1549,s2372,s2871,s3673,s2229,s103,s5229,s4529,s3650,s6172,s1544,s12,s1223,s4727,s5574,s2477,s510,s9,s175,s586,s658,s3794,s138]) ).
cnf(s6178,plain,
( spl0_60
| spl0_64
| spl0_10
| ~ spl0_259
| spl0_62
| ~ spl0_234
| ~ spl0_419
| spl0_16
| ~ spl0_14
| ~ spl0_8
| ~ spl0_6
| ~ spl0_28 ),
inference(rat,[],[s2754,s5291,s4744,s2467,s5223,s6063,s5514,s4570,s2980,s6018,s5576,s3489,s6167,s2051,s1528,s3766,s9,s1223,s1542,s586,s658,s138]) ).
cnf(s6179,plain,
( spl0_267
| ~ spl0_259
| spl0_62
| ~ spl0_234
| ~ spl0_419
| spl0_16
| ~ spl0_14
| ~ spl0_8
| ~ spl0_6
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s4430,s4914,s2871,s4615,s2229,s103,s3650,s6178,s6177,s4727,s5574,s2477,s3401,s510,s3456,s9,s4501,s586,s3794]) ).
cnf(s6180,plain,
( ~ spl0_259
| spl0_62
| ~ spl0_234
| spl0_98
| spl0_16
| ~ spl0_14
| ~ spl0_8
| ~ spl0_6
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s4570,s5514,s2980,s3717,s3705,s481,s600,s5530,s4073,s479,s2853,s4529,s3658,s1528,s6007,s5576,s3489,s2098,s1542,s5574,s5682,s2573,s6179,s2039,s12,s9,s5344,s1223,s658,s586,s138,s3794]) ).
cnf(s6181,plain,
( ~ spl0_162
| ~ spl0_262
| spl0_489
| spl0_62
| ~ spl0_234
| ~ spl0_419
| ~ spl0_17
| ~ spl0_25 ),
inference(rat,[],[s3495,s2229,s103,s3383,s6172,s4727,s5594,s2573]) ).
cnf(s6182,plain,
( spl0_60
| ~ spl0_405
| ~ spl0_224
| spl0_64
| spl0_10
| spl0_62
| ~ spl0_234
| ~ spl0_419
| spl0_16
| ~ spl0_14
| ~ spl0_8
| ~ spl0_6
| ~ spl0_28 ),
inference(rat,[],[s2754,s5291,s4744,s2467,s5223,s6063,s5514,s4570,s2980,s4783,s6167,s1528,s9,s1542,s586,s658,s138]) ).
cnf(s6183,plain,
( spl0_62
| ~ spl0_234
| spl0_98
| spl0_16
| ~ spl0_14
| ~ spl0_8
| ~ spl0_6
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s5617,s3178,s3717,s2443,s481,s4783,s5530,s2627,s479,s4767,s5598,s3886,s103,s5353,s5229,s6182,s4098,s2240,s5596,s1679,s1542,s1544,s6181,s2309,s3401,s510,s3456,s2573,s4727,s5574,s6161,s3379,s3325,s6180,s12,s9,s5344,s658,s586,s175,s3794]) ).
cnf(s6184,plain,
( ~ spl0_415
| spl0_267
| spl0_64
| ~ spl0_62
| ~ spl0_234
| ~ spl0_419
| spl0_16
| ~ spl0_14
| ~ spl0_8
| ~ spl0_6
| ~ spl0_28 ),
inference(rat,[],[s5223,s2384,s3256,s2305,s2980,s2096,s4900,s3236,s1644,s5572,s1836,s2824,s108,s6095,s2627,s3454,s4744,s3029,s4571,s2756,s3734,s5679,s2467,s4,s11,s2570,s2571,s12,s3401,s3456,s5574,s2477,s510,s9,s658,s138,s175,s586,s3794]) ).
cnf(s6185,plain,
( ~ spl0_65
| ~ spl0_224
| spl0_10
| ~ spl0_62
| ~ spl0_234
| spl0_5
| ~ spl0_28 ),
inference(rat,[],[s2754,s4,s4744,s483,s5223,s3717,s5514,s4570,s2980,s4783,s2856,s6034,s4510,s5982,s6159,s6155,s6154,s2349,s658,s175]) ).
cnf(s6186,plain,
( spl0_267
| spl0_98
| spl0_16
| spl0_5
| ~ spl0_28 ),
inference(rat,[],[s1856,s4767,s6167,s1533,s6185,s2240,s5596,s2309,s3325,s3666,s6184,s5574,s2477,s1679,s3401,s510,s3456,s9,s5344,s57,s87,s6183,s6171,s5982,s6159,s4510,s6155,s6034,s6154,s2856,s586,s175,s3794]) ).
cnf(s6187,plain,
( spl0_60
| ~ spl0_259
| spl0_262
| ~ spl0_267
| ~ spl0_81
| spl0_64
| ~ spl0_62
| spl0_16
| ~ spl0_14
| ~ spl0_8
| ~ spl0_6
| ~ spl0_28 ),
inference(rat,[],[s5617,s5564,s5371,s4223,s6100,s2579,s3682,s2756,s5708,s6167,s5487,s6007,s1528,s1836,s9,s658,s138]) ).
cnf(s6188,plain,
( ~ spl0_60
| ~ spl0_81
| spl0_64
| ~ spl0_62
| ~ spl0_21
| ~ spl0_14
| ~ spl0_28 ),
inference(rat,[],[s2847,s2824,s600,s4073,s2853,s3658,s6095,s586]) ).
cnf(s6189,plain,
( spl0_98
| spl0_16
| spl0_5
| ~ spl0_28 ),
inference(rat,[],[s3379,s6187,s6170,s6188,s2573,s6186,s87,s57,s6183,s6171,s5344,s2856,s4510,s5982,s6159,s6155,s12,s9,s6034,s6154,s3794,s175]) ).
cnf(s6190,plain,
( spl0_267
| spl0_234
| ~ spl0_98
| ~ spl0_17
| spl0_16
| ~ spl0_14 ),
inference(rat,[],[s3236,s3757,s5574,s861,s2477,s6104,s510,s3794]) ).
cnf(s6191,plain,
( ~ spl0_284
| spl0_10
| ~ spl0_36
| ~ spl0_405
| ~ spl0_259
| ~ spl0_64
| ~ spl0_285
| spl0_234
| ~ spl0_14
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s4571,s5679,s1533,s2299,s4783,s3905,s861,s2756,s5470,s5525,s586]) ).
cnf(s6196,plain,
( spl0_232
| ~ spl0_219
| ~ spl0_238
| ~ spl0_51
| spl0_497
| ~ spl0_17 ),
inference(rat,[],[s3231,s4497,s5712]) ).
cnf(s6197,plain,
( ~ spl0_212
| spl0_264
| spl0_532
| ~ spl0_233
| spl0_346
| spl0_256
| ~ spl0_85
| ~ spl0_11
| ~ spl0_259
| spl0_234
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s603,s4226,s4056,s771,s977,s599,s5046,s3949,s3004,s1164,s5651,s586,s3437]) ).
cnf(s6198,plain,
( ~ spl0_219
| ~ spl0_233
| spl0_346
| spl0_256
| ~ spl0_236
| ~ spl0_402
| ~ spl0_85
| ~ spl0_11
| ~ spl0_414
| spl0_88
| ~ spl0_238
| ~ spl0_51
| ~ spl0_259
| spl0_497
| ~ spl0_285
| spl0_45
| spl0_234
| ~ spl0_17
| ~ spl0_6
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s977,s4864,s599,s3663,s5046,s603,s3949,s4226,s3903,s5621,s5462,s418,s6197,s5651,s2984,s6196,s4295,s586,s138,s3437]) ).
cnf(s6199,plain,
( ~ spl0_212
| spl0_271
| spl0_272
| ~ spl0_220
| ~ spl0_273
| ~ spl0_215
| ~ spl0_64
| ~ spl0_267 ),
inference(rat,[],[s5383,s3334,s5668,s5335,s603,s3925,s520,s3922,s586]) ).
cnf(s6201,plain,
( ~ spl0_221
| ~ spl0_322
| spl0_293
| spl0_242
| spl0_321
| ~ spl0_238
| spl0_445 ),
inference(rat,[],[s3332,s5623,s2290,s2431,s5409,s3374]) ).
cnf(s6203,plain,
( ~ spl0_244
| ~ spl0_211
| ~ spl0_85
| spl0_224
| ~ spl0_240
| ~ spl0_259
| ~ spl0_64
| spl0_62
| ~ spl0_267
| ~ spl0_98
| ~ spl0_14
| ~ spl0_28 ),
inference(rat,[],[s5398,s2568,s2281,s4497,s6109,s6111,s6124,s3231,s2210,s1635,s3261,s3742,s3696,s481,s2627,s2088,s2749,s2299,s3555,s28,s5676,s5574,s6049,s1856,s5686,s4427,s1223,s175,s138,s3794]) ).
cnf(s6204,plain,
( ~ spl0_308
| spl0_293
| ~ spl0_303
| spl0_242
| spl0_321
| ~ spl0_238
| ~ spl0_391
| spl0_445 ),
inference(rat,[],[s6201,s5716,s599,s5586,s3762,s586]) ).
cnf(s6205,plain,
( ~ spl0_259
| ~ spl0_64
| spl0_62
| ~ spl0_98
| spl0_16
| ~ spl0_14
| ~ spl0_22
| ~ spl0_8
| ~ spl0_6
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s2431,s599,s5623,s977,s748,s6204,s2084,s5439,s2568,s6198,s3295,s3258,s601,s5520,s4193,s2081,s1029,s2930,s1032,s6203,s2296,s2847,s4691,s2627,s5222,s2088,s417,s2749,s3696,s4527,s2299,s6110,s6017,s4,s4086,s3682,s2871,s28,s2756,s3538,s5676,s2786,s3555,s2384,s6191,s3401,s3497,s4001,s27,s3384,s1528,s1856,s4717,s5686,s5682,s4427,s12,s3693,s5574,s3261,s3742,s6049,s6190,s1011,s9,s1223,s1544,s586,s3374,s175,s138,s3794]) ).
cnf(s6206,plain,
( spl0_38
| spl0_60
| ~ spl0_224
| spl0_234
| ~ spl0_98
| spl0_16
| ~ spl0_14
| ~ spl0_8 ),
inference(rat,[],[s5572,s4902,s2467,s4693,s4977,s2384,s5525,s3401,s3682,s81,s2756,s586]) ).
cnf(s6207,plain,
( ~ spl0_386
| ~ spl0_224
| ~ spl0_297
| ~ spl0_267
| spl0_234
| ~ spl0_98
| spl0_16
| ~ spl0_14
| ~ spl0_8
| ~ spl0_28 ),
inference(rat,[],[s3696,s4034,s933,s4065,s5676,s6206,s3551,s3693,s5574,s6049,s3794]) ).
cnf(s6208,plain,
( spl0_259
| spl0_62
| spl0_234
| ~ spl0_98
| spl0_16
| ~ spl0_14
| ~ spl0_8
| ~ spl0_6
| ~ spl0_28 ),
inference(rat,[],[s3696,s933,s3757,s2786,s2847,s3538,s1528,s6207,s2627,s915,s4571,s5107,s2470,s3325,s5574,s6049,s6190,s9,s138,s175,s3794]) ).
cnf(s6209,plain,
( spl0_62
| ~ spl0_98
| spl0_16
| ~ spl0_14
| ~ spl0_22
| ~ spl0_8
| ~ spl0_6
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s4977,s2863,s1516,s1692,s5640,s11,s1679,s3734,s3497,s3029,s1528,s1856,s5686,s6205,s4427,s6208,s12,s3693,s6190,s1011,s9,s138]) ).
cnf(s6210,plain,
( spl0_5
| spl0_1 ),
inference(rat,[],[s6033,s1528,s210,s6188,s87,s57,s6209,s5574,s6049,s6190,s1011,s6189,s9,s12,s20,s5982,s6159,s14,s4510,s6155,s6034,s6154,s2856,s1696,s138,s3794,s175]) ).
cnf(s6211,plain,
( ~ spl0_12
| ~ spl0_14
| ~ spl0_25
| spl0_16
| ~ spl0_28 ),
inference(rat,[],[s4444,s2756,s2846,s6022,s6052]) ).
cnf(s6212,plain,
( spl0_98
| ~ spl0_249
| ~ spl0_14
| spl0_267
| ~ spl0_25
| spl0_371
| spl0_16
| ~ spl0_28 ),
inference(rat,[],[s2980,s5128,s3236,s4693,s2824,s3325,s3454,s6167,s3666,s3658,s6184,s87,s57,s5574,s6183,s2477,s9,s3,s6103,s5345,s5344,s510,s4510,s6211,s3840,s3671,s658,s175,s3794]) ).
cnf(s6213,plain,
( ~ spl0_14
| spl0_267
| ~ spl0_25
| spl0_16
| spl0_1 ),
inference(rat,[],[s1011,s6212,s3671,s479,s5533,s6211,s1696,s12,s3678,s6210,s175]) ).
cnf(s6214,plain,
( ~ spl0_162
| ~ spl0_386
| spl0_62
| ~ spl0_419
| ~ spl0_234
| ~ spl0_25 ),
inference(rat,[],[s2095,s3256,s1836,s44,s2228,s3383,s3388,s2412,s2248,s138]) ).
cnf(s6215,plain,
( ~ spl0_386
| spl0_62
| spl0_17
| ~ spl0_11
| ~ spl0_234
| ~ spl0_38
| spl0_14
| ~ spl0_25
| ~ spl0_28 ),
inference(rat,[],[s2050,s5603,s2051,s2064,s3256,s1836,s3766,s5442,s2344,s1516,s1851,s1544,s6214,s3454,s5982,s5344,s1011,s138,s3794]) ).
cnf(s6216,plain,
( ~ spl0_259
| ~ spl0_65
| ~ spl0_64
| ~ spl0_51
| ~ spl0_253
| ~ spl0_467
| ~ spl0_234
| ~ spl0_18 ),
inference(rat,[],[s4453,s3495,s2376,s6018]) ).
cnf(s6217,plain,
( spl0_62
| spl0_17
| ~ spl0_467
| ~ spl0_234
| ~ spl0_249
| spl0_14
| ~ spl0_260
| ~ spl0_25
| spl0_16
| ~ spl0_28 ),
inference(rat,[],[s6159,s6075,s6016,s5574,s3495,s6161,s3379,s3325,s6216,s2627,s4767,s3658,s1856,s6215,s3189,s5982,s3840,s11,s5678,s4803,s5344,s12,s861,s3376,s4694,s1011,s3794,s175]) ).
cnf(s6218,plain,
( spl0_17
| ~ spl0_467
| ~ spl0_234
| ~ spl0_249
| spl0_14
| ~ spl0_260
| ~ spl0_25
| spl0_16
| ~ spl0_28 ),
inference(rat,[],[s6159,s6085,s4442,s939,s2314,s5596,s3658,s99,s57,s6217,s4694,s5982,s3840,s11,s5678,s4803,s5344,s1011,s12,s3794]) ).
cnf(s6219,plain,
( spl0_267
| ~ spl0_25
| spl0_16
| spl0_1 ),
inference(rat,[],[s6159,s6103,s4342,s4727,s5574,s2477,s6218,s5594,s5344,s1011,s2759,s3671,s3840,s479,s5531,s5982,s6213,s510,s1696,s6210,s12,s3794,s175]) ).
cnf(s6220,plain,
( spl0_62
| spl0_98
| ~ spl0_89
| ~ spl0_253
| ~ spl0_285
| spl0_297
| ~ spl0_38
| ~ spl0_249
| ~ spl0_267 ),
inference(rat,[],[s2299,s2665,s3905,s2029,s3658,s1856,s6007,s5576,s939,s3489,s5107,s1223,s5344,s2098,s175,s138,s3794]) ).
cnf(s6221,plain,
( spl0_98
| ~ spl0_89
| spl0_234
| spl0_297
| ~ spl0_249
| ~ spl0_14
| ~ spl0_267
| ~ spl0_25
| spl0_16
| ~ spl0_28 ),
inference(rat,[],[s6170,s3379,s6188,s6169,s87,s57,s6220,s9,s5518,s5344,s4510,s5617,s861,s5374,s5574,s5225,s2765,s4148,s5676,s3840,s4701,s6211,s12,s3794,s175,s658]) ).
cnf(s6222,plain,
( spl0_62
| ~ spl0_98
| ~ spl0_14
| ~ spl0_25
| spl0_16
| ~ spl0_28 ),
inference(rat,[],[s3,s6138,s6209,s4510,s14,s6211,s175]) ).
cnf(s6223,plain,
( ~ spl0_98
| ~ spl0_285
| spl0_240
| ~ spl0_14
| ~ spl0_25
| spl0_16
| ~ spl0_28 ),
inference(rat,[],[s3739,s416,s3325,s6188,s6145,s87,s57,s6222,s12,s6211,s138,s175]) ).
cnf(s6224,plain,
( spl0_234
| ~ spl0_14
| ~ spl0_25
| spl0_16
| spl0_1 ),
inference(rat,[],[s6221,s3633,s933,s3678,s5564,s5617,s6223,s5574,s5225,s2765,s5676,s3840,s479,s5533,s6211,s6210,s12,s6219,s1696,s175,s3794,s658]) ).
cnf(s6225,plain,
( ~ spl0_14
| ~ spl0_25
| spl0_16
| spl0_1 ),
inference(rat,[],[s3256,s2096,s2349,s1836,s4350,s5686,s6188,s3658,s87,s57,s6183,s6224,s5518,s5344,s6223,s4077,s861,s5374,s5574,s5225,s4148,s5617,s2765,s5676,s3840,s479,s4701,s5533,s4510,s6211,s1696,s12,s3678,s6210,s6219,s138,s3794,s658,s175]) ).
cnf(s6226,plain,
( ~ spl0_12
| ~ spl0_419
| ~ spl0_38
| spl0_14
| ~ spl0_25
| spl0_16
| ~ spl0_28 ),
inference(rat,[],[s2051,s2050,s6044,s10,s31,s6052,s5982]) ).
cnf(s6227,plain,
( spl0_98
| ~ spl0_38
| spl0_14
| ~ spl0_25
| spl0_16
| ~ spl0_28 ),
inference(rat,[],[s6103,s6159,s6226,s5344,s5982,s3794]) ).
cnf(s6228,plain,
( ~ spl0_25
| spl0_16
| spl0_1 ),
inference(rat,[],[s6149,s1011,s6151,s3325,s3112,s6145,s57,s6138,s6159,s4510,s4442,s5985,s6227,s3840,s479,s5531,s5982,s6225,s6219,s1696,s6210,s12,s175]) ).
cnf(s6229,plain,
( ~ spl0_216
| ~ spl0_280
| ~ spl0_282
| ~ spl0_238
| ~ spl0_51
| ~ spl0_17
| spl0_45
| ~ spl0_28 ),
inference(rat,[],[s2984,s5712,s5651,s2784,s1058,s1722,s3437]) ).
cnf(s6230,plain,
( ~ spl0_210
| ~ spl0_280
| ~ spl0_238
| ~ spl0_51
| ~ spl0_260
| ~ spl0_4 ),
inference(rat,[],[s4525,s3332,s1721,s3450]) ).
cnf(s6231,plain,
( ~ spl0_259
| ~ spl0_60
| ~ spl0_6
| ~ spl0_64
| spl0_453
| spl0_267
| spl0_356
| ~ spl0_14
| ~ spl0_397
| spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s3925,s603,s418,s4242,s5687,s4691,s5217,s2390,s3049,s417,s6230,s2568,s5638,s5906,s3616,s4184,s5061,s2236,s4679,s601,s6229,s2304,s3376,s4570,s2980,s2805,s3705,s2384,s2627,s5563,s4571,s2372,s5679,s2229,s3198,s3650,s2039,s2759,s4510,s2846,s3030,s4744,s3671,s1549,s5574,s2477,s9,s510,s4529,s1856,s3551,s2765,s3028,s586,s138,s175,s658,s3794]) ).
cnf(s6233,plain,
( ~ spl0_216
| spl0_256
| ~ spl0_295
| spl0_98
| spl0_45
| ~ spl0_28 ),
inference(rat,[],[s2984,s520,s5651,s699,s4836,s3437]) ).
cnf(s6234,plain,
( ~ spl0_211
| ~ spl0_215
| spl0_272
| ~ spl0_273
| ~ spl0_236
| ~ spl0_223
| ~ spl0_234 ),
inference(rat,[],[s5335,s603,s2646,s3251,s586]) ).
cnf(s6235,plain,
( ~ spl0_210
| ~ spl0_295
| ~ spl0_260
| spl0_45
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s1030,s2987,s2836,s3450]) ).
cnf(s6236,plain,
( spl0_236
| ~ spl0_295
| spl0_41
| ~ spl0_402
| spl0_240
| spl0_225
| ~ spl0_234
| spl0_98
| spl0_45
| ~ spl0_249
| spl0_15
| ~ spl0_28 ),
inference(rat,[],[s2822,s1068,s5906,s6233,s5508,s2616,s2214,s3616,s3957,s175]) ).
cnf(s6237,plain,
( ~ spl0_6
| ~ spl0_64
| spl0_62
| spl0_267
| spl0_356
| spl0_98
| ~ spl0_14
| spl0_15
| ~ spl0_397
| spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s5409,s599,s4009,s5445,s4048,s2568,s3532,s2081,s6236,s5716,s5586,s2290,s3966,s2390,s2646,s2262,s417,s6235,s3198,s3188,s3320,s5679,s2203,s4767,s4571,s1533,s4783,s3236,s2443,s3178,s5617,s2805,s2237,s2228,s4098,s3495,s5598,s3379,s3325,s6231,s1856,s3551,s5574,s6172,s2477,s9,s2759,s2765,s3028,s510,s3671,s1549,s5594,s5344,s3261,s4501,s4510,s2846,s3030,s1544,s586,s175,s138,s658,s3794]) ).
cnf(s6238,plain,
( ~ spl0_64
| spl0_62
| spl0_267
| spl0_356
| spl0_98
| ~ spl0_14
| spl0_15
| ~ spl0_397
| spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s3494,s3379,s1856,s2871,s2039,s3454,s2237,s3198,s4693,s2805,s1545,s760,s3,s6237,s2759,s3028,s4510,s2846,s3030,s3671,s1549,s5594,s5344,s586,s3794,s175]) ).
cnf(s6239,plain,
( spl0_62
| spl0_267
| spl0_356
| spl0_98
| ~ spl0_14
| spl0_15
| ~ spl0_397
| spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s5574,s2477,s4098,s9,s6182,s5591,s3256,s2467,s1836,s4693,s3551,s3454,s3658,s6238,s2095,s2765,s3028,s4510,s2846,s3030,s5344,s510,s3671,s1549,s3401,s3456,s3794,s586,s138,s175]) ).
cnf(s6240,plain,
( ~ spl0_386
| spl0_59
| ~ spl0_162
| ~ spl0_62
| ~ spl0_234
| ~ spl0_419
| ~ spl0_28 ),
inference(rat,[],[s3256,s1836,s2228,s6095,s2248,s138]) ).
cnf(s6241,plain,
( ~ spl0_64
| ~ spl0_62
| ~ spl0_467
| ~ spl0_234
| spl0_98
| ~ spl0_8
| ~ spl0_511
| ~ spl0_14
| ~ spl0_159
| spl0_371
| ~ spl0_28 ),
inference(rat,[],[s5518,s4571,s5617,s1533,s2805,s4783,s2237,s2349,s3495,s1856,s6240,s861,s5128,s3379,s3325,s2039,s5679,s2096,s4455,s4366,s1544,s5344,s5345,s658,s586,s175,s3794]) ).
cnf(s6242,plain,
( spl0_267
| spl0_98
| ~ spl0_14
| spl0_16
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s5617,s3056,s5223,s2913,s2627,s3256,s5572,s4964,s2096,s2467,s4623,s4693,s1836,s3454,s6188,s3658,s1542,s6241,s6239,s4744,s5594,s3671,s510,s917,s2781,s1549,s2759,s4692,s3028,s4510,s4701,s2846,s3030,s2955,s6228,s1696,s12,s5344,s5345,s3678,s6210,s658,s175,s586,s138,s3794]) ).
cnf(s6243,plain,
( ~ spl0_84
| ~ spl0_62
| ~ spl0_89
| ~ spl0_17
| ~ spl0_399
| ~ spl0_267
| ~ spl0_419
| ~ spl0_38
| ~ spl0_28 ),
inference(rat,[],[s3379,s6170,s5487,s6095,s5708,s1856,s2627,s2029,s2020,s175]) ).
cnf(s6244,plain,
( ~ spl0_89
| ~ spl0_253
| ~ spl0_17
| ~ spl0_399
| ~ spl0_285
| ~ spl0_267
| spl0_297
| spl0_98
| ~ spl0_511
| ~ spl0_38
| ~ spl0_249
| ~ spl0_28 ),
inference(rat,[],[s3658,s4350,s4366,s2665,s6243,s6220,s5344,s4077,s175,s3794]) ).
cnf(s6245,plain,
( spl0_62
| ~ spl0_234
| spl0_413
| ~ spl0_285
| ~ spl0_267
| spl0_297
| ~ spl0_419
| ~ spl0_249 ),
inference(rat,[],[s3658,s5682,s6007,s2039,s939,s5576,s3489,s5107,s1223,s138]) ).
cnf(s6246,plain,
( ~ spl0_64
| ~ spl0_62
| ~ spl0_234
| ~ spl0_507
| ~ spl0_419
| ~ spl0_511
| spl0_371
| ~ spl0_28 ),
inference(rat,[],[s1856,s4194,s6240,s2039,s2096,s4455,s4366,s1544]) ).
cnf(s6247,plain,
( spl0_98
| ~ spl0_14
| spl0_16
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2467,s5572,s4350,s6188,s2913,s3658,s1542,s6246,s6245,s3633,s6244,s4077,s861,s9,s4961,s2098,s3540,s4570,s5518,s5564,s5574,s5514,s5617,s5225,s5676,s6242,s934,s5344,s12,s3678,s6210,s917,s2781,s1549,s4692,s2765,s3028,s4510,s2846,s3030,s2955,s6228,s1696,s586,s3794,s658,s175]) ).
cnf(s6248,plain,
( spl0_224
| spl0_62
| ~ spl0_450
| spl0_282
| ~ spl0_284
| ~ spl0_98
| ~ spl0_8
| ~ spl0_14
| ~ spl0_38
| ~ spl0_28 ),
inference(rat,[],[s3236,s3757,s861,s4570,s5564,s5591,s4223,s2467,s1836,s4693,s3551,s3454,s1856,s2372,s2765,s4501,s586,s138]) ).
cnf(s6249,plain,
( ~ spl0_224
| spl0_267
| ~ spl0_98
| ~ spl0_14
| ~ spl0_38
| ~ spl0_249
| spl0_1 ),
inference(rat,[],[s2665,s4693,s5572,s3454,s2913,s3658,s2237,s3538,s6210,s2785,s4456,s1696,s3056,s5617,s4572,s3671,s4692,s510,s175,s658]) ).
cnf(s6250,plain,
( ~ spl0_64
| ~ spl0_62
| spl0_224
| ~ spl0_284
| ~ spl0_234
| spl0_502
| ~ spl0_511
| ~ spl0_28 ),
inference(rat,[],[s4332,s3325,s5532,s2039,s2467,s4455,s4366,s175,s586]) ).
cnf(s6251,plain,
( spl0_267
| ~ spl0_98
| ~ spl0_8
| ~ spl0_14
| ~ spl0_38
| ~ spl0_249
| ~ spl0_21
| spl0_1 ),
inference(rat,[],[s2665,s4693,s5572,s3454,s6188,s2913,s3658,s1542,s6250,s6248,s6249,s3056,s5563,s5514,s5617,s4572,s3671,s3259,s510,s1696,s6210,s4692,s175,s658]) ).
cnf(s6252,plain,
( ~ spl0_259
| ~ spl0_89
| ~ spl0_253
| ~ spl0_267
| ~ spl0_98
| ~ spl0_38
| ~ spl0_249
| ~ spl0_28 ),
inference(rat,[],[s2299,s2665,s3905,s2029,s3658,s1856,s5686,s4427,s175]) ).
cnf(s6253,plain,
( spl0_259
| ~ spl0_507
| ~ spl0_285
| spl0_297
| ~ spl0_267
| ~ spl0_98
| ~ spl0_28 ),
inference(rat,[],[s2871,s5272,s2349,s6153,s5686,s1856,s5107,s4194,s3325,s586,s175]) ).
cnf(s6254,plain,
( ~ spl0_14
| spl0_16
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s5682,s2039,s3658,s3633,s5686,s6252,s4427,s6253,s861,s5374,s3540,s5564,s5574,s933,s4148,s5617,s5225,s5676,s6251,s6247,s4701,s4510,s2846,s2765,s12,s3678,s6210,s1549,s3028,s3030,s2955,s6228,s1696,s3794,s658,s175]) ).
cnf(s6255,plain,
( spl0_224
| spl0_59
| spl0_55
| spl0_62
| ~ spl0_419
| spl0_545
| ~ spl0_18 ),
inference(rat,[],[s5474,s1533,s5435,s2396,s2226,s3650,s5735,s939,s4893,s2051,s1836,s5633,s3489,s3256,s5576,s2871,s1223,s586,s138]) ).
cnf(s6256,plain,
( spl0_225
| ~ spl0_224
| spl0_62
| spl0_98
| ~ spl0_234
| spl0_267
| spl0_14
| ~ spl0_159
| spl0_16
| ~ spl0_5 ),
inference(rat,[],[s2226,s3766,s4034,s2051,s861,s5574,s2050,s3472,s6159,s6015,s5603,s760,s960,s2805,s5982,s510,s5344,s138,s3794]) ).
cnf(s6257,plain,
( spl0_62
| spl0_98
| spl0_267
| spl0_14
| ~ spl0_38
| ~ spl0_249
| spl0_16
| spl0_1 ),
inference(rat,[],[s2050,s5603,s2051,s2064,s3766,s5442,s3661,s3454,s1851,s3658,s2237,s6256,s6255,s2095,s1200,s1696,s3678,s917,s2781,s6228,s2759,s5982,s4400,s6210,s3671,s11,s5678,s4803,s5344,s510,s12,s138,s3794]) ).
cnf(s6258,plain,
( ~ spl0_386
| ~ spl0_64
| ~ spl0_62
| ~ spl0_419
| ~ spl0_234
| ~ spl0_28 ),
inference(rat,[],[s1060,s2307,s1836,s2228,s6240,s6095,s2248,s1544,s3325,s2039,s4455,s138,s175]) ).
cnf(s6259,plain,
( spl0_236
| ~ spl0_69
| ~ spl0_38
| ~ spl0_249
| ~ spl0_28 ),
inference(rat,[],[s5058,s3957]) ).
cnf(s6260,plain,
( ~ spl0_64
| ~ spl0_62
| ~ spl0_11
| spl0_98
| spl0_267
| ~ spl0_18
| ~ spl0_38
| ~ spl0_249
| spl0_16
| spl0_1 ),
inference(rat,[],[s603,s5335,s3663,s4057,s3960,s4165,s5059,s4238,s1030,s5589,s2836,s417,s6234,s601,s4487,s2210,s4137,s2289,s4009,s4217,s3311,s4048,s719,s2374,s2568,s3532,s4196,s2081,s6259,s2351,s3253,s3250,s5565,s2226,s363,s2467,s4034,s2627,s2598,s4367,s2443,s4856,s4338,s6159,s3178,s5603,s760,s5617,s2805,s2228,s2237,s2442,s3495,s5598,s1856,s5169,s6258,s2673,s3379,s3325,s2039,s4455,s2366,s1544,s1696,s6210,s18,s6228,s2759,s510,s3671,s5594,s5344,s586,s138,s3794,s175,s692,s658]) ).
cnf(s6261,plain,
( spl0_98
| spl0_267
| spl0_14
| ~ spl0_38
| ~ spl0_249
| spl0_16
| spl0_1 ),
inference(rat,[],[s2307,s1060,s3256,s3325,s2064,s6085,s760,s6159,s1836,s4442,s5442,s6095,s2314,s1851,s3658,s6260,s6257,s11,s5678,s4803,s5344,s1696,s12,s5982,s510,s3671,s175,s138,s3794]) ).
cnf(s6263,plain,
( ~ spl0_236
| ~ spl0_63
| ~ spl0_391
| spl0_224
| spl0_381
| spl0_445
| ~ spl0_225 ),
inference(rat,[],[s1737,s2210,s2211,s4831,s4196,s2616,s2081,s2236,s692,s175]) ).
cnf(s6264,plain,
( ~ spl0_240
| ~ spl0_386
| ~ spl0_64
| spl0_62
| ~ spl0_225
| ~ spl0_98
| spl0_444
| ~ spl0_234
| ~ spl0_260
| ~ spl0_18
| ~ spl0_38
| ~ spl0_397
| spl0_25 ),
inference(rat,[],[s601,s4679,s5528,s4184,s4196,s2210,s1695,s613,s1034,s5244,s5246,s2918,s2568,s3957,s4502,s6263,s5574,s5568,s2240,s2309,s3325,s2039,s5442,s3198,s1545,s6159,s3579,s1549,s2759,s3261,s3660,s2237,s586,s692,s175,s3794]) ).
cnf(s6265,plain,
( ~ spl0_212
| ~ spl0_275
| spl0_272
| ~ spl0_215
| ~ spl0_220
| spl0_305
| ~ spl0_304
| ~ spl0_273 ),
inference(rat,[],[s3080,s4242,s5335,s603,s3925,s586]) ).
cnf(s6266,plain,
( ~ spl0_213
| ~ spl0_507
| ~ spl0_285
| ~ spl0_45
| spl0_297 ),
inference(rat,[],[s1030,s2985,s5660,s5681]) ).
cnf(s6267,plain,
( spl0_236
| spl0_347
| ~ spl0_212
| spl0_17
| ~ spl0_285
| ~ spl0_556
| spl0_391
| ~ spl0_259
| ~ spl0_45
| spl0_542
| ~ spl0_65
| spl0_240
| ~ spl0_64
| spl0_381
| ~ spl0_38
| ~ spl0_249
| spl0_371 ),
inference(rat,[],[s5651,s5571,s4226,s2211,s2985,s5335,s2390,s5432,s3960,s4165,s4242,s603,s3925,s601,s2568,s5508,s5639,s2281,s5906,s4196,s2815,s5060,s4865,s2931,s3957,s2759,s933,s3437,s586,s175,s692]) ).
cnf(s6268,plain,
( spl0_85
| spl0_240
| ~ spl0_386
| ~ spl0_64
| spl0_62
| ~ spl0_225
| ~ spl0_234
| spl0_502
| ~ spl0_260
| spl0_14
| ~ spl0_38
| spl0_25
| spl0_371
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s4831,s2210,s4196,s5352,s3330,s719,s2374,s2568,s3530,s1722,s2616,s2236,s6267,s3070,s418,s6266,s5568,s2477,s3540,s5574,s3650,s5208,s3766,s2039,s2051,s939,s2050,s2396,s4442,s5562,s4332,s10,s6159,s5532,s1545,s2467,s1549,s2955,s3261,s3660,s5982,s5617,s933,s2627,s5474,s2871,s2237,s1200,s692,s175,s138,s3794,s586,s658]) ).
cnf(s6269,plain,
( ~ spl0_386
| ~ spl0_64
| ~ spl0_209
| spl0_62
| ~ spl0_98
| ~ spl0_234
| spl0_502
| ~ spl0_260
| spl0_14
| spl0_25
| spl0_371
| spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s3334,s4864,s4082,s2028,s418,s3925,s603,s6114,s4196,s613,s601,s5244,s5246,s5508,s2568,s2280,s2210,s4502,s5906,s1034,s10,s5574,s2240,s5060,s2918,s2050,s3739,s2309,s3957,s2051,s3325,s6263,s3766,s2039,s481,s5442,s4350,s3661,s3198,s6268,s2627,s5474,s6264,s3454,s1549,s2759,s3028,s2955,s2785,s1200,s3660,s5982,s2871,s3307,s2237,s4456,s3261,s138,s586,s692,s175,s3794]) ).
cnf(s6270,plain,
( ~ spl0_240
| ~ spl0_11
| spl0_386
| ~ spl0_64
| spl0_62
| ~ spl0_225
| ~ spl0_98
| spl0_444
| ~ spl0_234
| ~ spl0_18
| ~ spl0_397
| spl0_16 ),
inference(rat,[],[s4831,s2616,s4196,s2210,s4679,s4210,s1635,s4184,s1032,s6263,s1866,s3961,s2627,s4767,s3188,s3325,s2039,s3198,s1545,s6159,s3579,s1549,s2759,s3028,s3261,s3660,s5486,s1856,s2237,s175,s692]) ).
cnf(s6271,plain,
( ~ spl0_64
| ~ spl0_209
| spl0_62
| ~ spl0_98
| spl0_267
| spl0_14
| spl0_25
| spl0_371
| spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s5508,s5906,s2933,s4476,s1737,s2784,s1722,s2616,s2236,s6259,s363,s3705,s268,s5568,s2471,s1230,s5574,s481,s3650,s2381,s2396,s939,s4510,s2373,s4501,s3961,s2372,s2627,s5563,s5474,s933,s5617,s6270,s11,s1836,s5678,s5392,s4011,s4914,s2644,s1856,s6269,s4430,s2871,s2237,s2965,s3028,s5982,s15,s510,s3259,s12,s2785,s4456,s3671,s1549,s2955,s1223,s1200,s175,s586,s3794,s658,s138]) ).
cnf(s6272,plain,
( ~ spl0_259
| spl0_88
| ~ spl0_166
| spl0_297
| spl0_356
| spl0_224
| ~ spl0_85
| ~ spl0_7
| ~ spl0_240
| spl0_445
| ~ spl0_98
| ~ spl0_234
| ~ spl0_23
| ~ spl0_159
| ~ spl0_397 ),
inference(rat,[],[s6124,s2210,s4679,s1635,s4184,s6127,s5574,s2471,s2980,s2299,s3794,s658]) ).
cnf(s6273,plain,
( ~ spl0_240
| spl0_93
| spl0_182
| spl0_64
| spl0_59
| spl0_62
| ~ spl0_98
| spl0_444
| ~ spl0_234
| ~ spl0_260
| spl0_14
| ~ spl0_38
| ~ spl0_397 ),
inference(rat,[],[s2240,s5596,s2309,s3325,s6272,s3906,s1866,s2627,s5262,s1836,s915,s1178,s3661,s6123,s1545,s6159,s3579,s1549,s2759,s15,s3261,s3660,s5982,s175,s138]) ).
cnf(s6274,plain,
( ~ spl0_355
| spl0_240
| ~ spl0_260
| spl0_16 ),
inference(rat,[],[s4624,s2304,s3376]) ).
cnf(s6275,plain,
( ~ spl0_216
| ~ spl0_262
| ~ spl0_280
| spl0_88
| ~ spl0_85
| ~ spl0_126
| spl0_240
| spl0_269
| ~ spl0_98
| ~ spl0_260
| spl0_371 ),
inference(rat,[],[s2281,s5508,s5244,s5246,s5906,s2568,s5077,s3530,s970,s1722,s175]) ).
cnf(s6276,plain,
( spl0_242
| ~ spl0_220
| spl0_272
| ~ spl0_304
| spl0_288
| ~ spl0_232
| ~ spl0_215
| spl0_259
| ~ spl0_166
| ~ spl0_7
| ~ spl0_275
| ~ spl0_126
| ~ spl0_81
| ~ spl0_38
| spl0_371
| ~ spl0_5 ),
inference(rat,[],[s2917,s5469,s997,s4182,s418,s603,s6265,s6114,s4196,s613,s2281,s1695,s138,s586,s692]) ).
cnf(s6277,plain,
( ~ spl0_224
| spl0_240
| spl0_269
| spl0_64
| spl0_59
| spl0_62
| ~ spl0_225
| ~ spl0_98
| spl0_444
| ~ spl0_260
| spl0_14
| ~ spl0_38
| ~ spl0_249
| spl0_16
| ~ spl0_5 ),
inference(rat,[],[s5244,s6276,s5246,s2568,s5636,s2210,s5906,s1034,s5060,s2918,s3957,s2236,s601,s6275,s5574,s3739,s5596,s3325,s2299,s3906,s1866,s10,s956,s4350,s2627,s2050,s2665,s5262,s2051,s5572,s210,s1836,s3766,s3538,s3678,s3261,s2748,s1542,s3658,s1676,s3660,s5982,s2913,s3056,s5617,s861,s6274,s175,s586,s3794,s138,s658]) ).
cnf(s6278,plain,
( spl0_62
| spl0_267
| spl0_16
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2240,s5596,s2309,s3325,s2299,s3906,s481,s2627,s2665,s5474,s5532,s2871,s6277,s861,s6274,s5617,s6273,s3454,s3085,s1209,s3658,s3112,s1542,s6271,s2095,s1200,s2748,s3678,s917,s2781,s5297,s6210,s510,s2785,s4456,s6261,s6254,s3028,s1696,s3671,s1549,s2955,s6228,s175,s586,s658,s138]) ).
cnf(s6279,plain,
( spl0_255
| spl0_264 ),
inference(rat,[],[s5651,s3437]) ).
cnf(s6280,plain,
( spl0_320
| spl0_324 ),
inference(rat,[],[s5623,s3374]) ).
cnf(s6281,plain,
( spl0_240
| spl0_284 ),
inference(rat,[],[s5617,s658]) ).
cnf(s6282,plain,
( spl0_262
| spl0_285 ),
inference(rat,[],[s5574,s3794]) ).
cnf(s6283,plain,
( spl0_12
| ~ spl0_250
| ~ spl0_5
| ~ spl0_21 ),
inference(rat,[],[s5533,s175]) ).
cnf(s6284,plain,
( ~ spl0_250
| spl0_14
| ~ spl0_21
| ~ spl0_5 ),
inference(rat,[],[s5531,s175]) ).
cnf(s6285,plain,
( spl0_85
| ~ spl0_81
| ~ spl0_21
| ~ spl0_250 ),
inference(rat,[],[s5530,s586]) ).
cnf(s6287,plain,
( ~ spl0_81
| spl0_60
| ~ spl0_5
| ~ spl0_250 ),
inference(rat,[],[s5522,s138]) ).
cnf(s6296,plain,
( spl0_98
| spl0_419 ),
inference(rat,[],[s5344,s3794]) ).
cnf(s6319,plain,
( spl0_476
| spl0_12
| ~ spl0_21 ),
inference(rat,[],[s4701,s175]) ).
cnf(s6329,plain,
( spl0_8
| spl0_12 ),
inference(rat,[],[s4510,s175]) ).
cnf(s6338,plain,
( spl0_268
| spl0_273 ),
inference(rat,[],[s4196,s692]) ).
cnf(s6341,plain,
( spl0_244
| spl0_283 ),
inference(rat,[],[s4137,s3794]) ).
cnf(s6343,plain,
( spl0_232
| ~ spl0_114
| spl0_242 ),
inference(rat,[],[s4100,s3437]) ).
cnf(s6351,plain,
( spl0_60
| ~ spl0_422
| spl0_62 ),
inference(rat,[],[s3766,s138]) ).
cnf(s6357,plain,
( spl0_259
| spl0_292 ),
inference(rat,[],[s3325,s175]) ).
cnf(s6362,plain,
( ~ spl0_496
| ~ spl0_219
| spl0_215 ),
inference(rat,[],[s3240,s586]) ).
cnf(s6363,plain,
( spl0_253
| spl0_355 ),
inference(rat,[],[s2980,s658]) ).
cnf(s6364,plain,
( spl0_224
| spl0_414 ),
inference(rat,[],[s2871,s586]) ).
cnf(s6365,plain,
( spl0_224
| spl0_414 ),
inference(rat,[],[s2868,s175]) ).
cnf(s6367,plain,
( spl0_62
| spl0_209
| ~ spl0_5 ),
inference(rat,[],[s2748,s138]) ).
cnf(s6368,plain,
( spl0_476
| spl0_14
| ~ spl0_5 ),
inference(rat,[],[s2747,s175]) ).
cnf(s6369,plain,
( spl0_84
| spl0_85 ),
inference(rat,[],[s2665,s175]) ).
cnf(s6370,plain,
( ~ spl0_114
| spl0_38
| spl0_14 ),
inference(rat,[],[s2645,s175]) ).
cnf(s6371,plain,
( ~ spl0_114
| spl0_386
| spl0_62 ),
inference(rat,[],[s2644,s138]) ).
cnf(s6372,plain,
( spl0_56
| spl0_65 ),
inference(rat,[],[s2627,s175]) ).
cnf(s6373,plain,
( spl0_215
| spl0_216 ),
inference(rat,[],[s2616,s175]) ).
cnf(s6376,plain,
( spl0_219
| spl0_220 ),
inference(rat,[],[s2568,s175]) ).
cnf(s6379,plain,
( spl0_84
| spl0_85 ),
inference(rat,[],[s2467,s586]) ).
cnf(s6394,plain,
( spl0_240
| spl0_284 ),
inference(rat,[],[s2320,s138]) ).
cnf(s6402,plain,
( spl0_57
| spl0_60 ),
inference(rat,[],[s1836,s138]) ).
cnf(s6407,plain,
( spl0_56
| spl0_65 ),
inference(rat,[],[s1533,s586]) ).
cnf(s6409,plain,
( ~ spl0_17
| spl0_60
| spl0_386 ),
inference(rat,[],[s1528,s138]) ).
cnf(s6415,plain,
( ~ spl0_157
| spl0_85
| ~ spl0_79
| ~ spl0_21
| ~ spl0_18 ),
inference(rat,[],[s1230,s586]) ).
cnf(s6416,plain,
( spl0_65
| ~ spl0_157
| ~ spl0_81
| ~ spl0_79
| ~ spl0_18 ),
inference(rat,[],[s1229,s586]) ).
cnf(s6417,plain,
( spl0_62
| spl0_79 ),
inference(rat,[],[s1223,s138]) ).
cnf(s6418,plain,
( spl0_214
| spl0_85
| ~ spl0_21 ),
inference(rat,[],[s1213,s586]) ).
cnf(s6423,plain,
( spl0_60
| ~ spl0_148 ),
inference(rat,[],[s1109,s138]) ).
cnf(s6435,plain,
( ~ spl0_210
| spl0_324
| spl0_259
| ~ spl0_59 ),
inference(rat,[],[s951,s586]) ).
cnf(s6438,plain,
( spl0_259
| spl0_292 ),
inference(rat,[],[s938,s175]) ).
cnf(s6441,plain,
( ~ spl0_221
| spl0_324
| ~ spl0_59
| spl0_268 ),
inference(rat,[],[s899,s692]) ).
cnf(s6452,plain,
( spl0_253
| spl0_355 ),
inference(rat,[],[s864,s138]) ).
cnf(s6471,plain,
( spl0_268
| ~ spl0_219
| ~ spl0_285
| ~ spl0_59 ),
inference(rat,[],[s636,s138]) ).
cnf(s6472,plain,
( spl0_268
| spl0_273 ),
inference(rat,[],[s612,s138]) ).
cnf(s6473,plain,
( spl0_217
| spl0_218 ),
inference(rat,[],[s603,s586]) ).
cnf(s6474,plain,
( spl0_219
| spl0_220 ),
inference(rat,[],[s602,s586]) ).
cnf(s6475,plain,
( spl0_215
| spl0_216 ),
inference(rat,[],[s601,s586]) ).
cnf(s6476,plain,
( spl0_214
| spl0_65
| ~ spl0_81 ),
inference(rat,[],[s600,s586]) ).
cnf(s6477,plain,
( spl0_221
| spl0_222 ),
inference(rat,[],[s599,s586]) ).
cnf(s6495,plain,
( spl0_212
| spl0_213 ),
inference(rat,[],[s418,s138]) ).
cnf(s6496,plain,
( spl0_210
| spl0_211 ),
inference(rat,[],[s417,s138]) ).
cnf(s6497,plain,
( spl0_209
| spl0_60
| ~ spl0_81 ),
inference(rat,[],[s416,s138]) ).
cnf(s6541,plain,
( spl0_85
| spl0_60
| spl0_399
| ~ spl0_8 ),
inference(rat,[],[s5572,s4902,s6379]) ).
cnf(s6542,plain,
( spl0_236
| ~ spl0_216
| ~ spl0_85
| ~ spl0_386
| ~ spl0_7
| ~ spl0_262
| spl0_280
| spl0_224
| ~ spl0_64
| ~ spl0_98
| ~ spl0_234
| ~ spl0_260
| ~ spl0_38
| ~ spl0_249 ),
inference(rat,[],[s4831,s2210,s6338,s2289,s613,s3311,s5244,s2374,s5246,s1034,s6376,s2918,s4502,s3957]) ).
cnf(s6543,plain,
( spl0_293
| ~ spl0_272
| ~ spl0_216
| ~ spl0_292
| ~ spl0_64
| spl0_267
| ~ spl0_249 ),
inference(rat,[],[s1664,s5636,s6474,s3670,s3311,s2289,s2210]) ).
cnf(s6544,plain,
( ~ spl0_216
| ~ spl0_85
| ~ spl0_386
| ~ spl0_7
| ~ spl0_262
| spl0_224
| ~ spl0_391
| ~ spl0_64
| ~ spl0_98
| spl0_267
| ~ spl0_38
| ~ spl0_249 ),
inference(rat,[],[s5352,s2084,s6543,s4831,s6338,s2081,s6542,s2240,s2309,s6357,s2039,s3671,s510]) ).
cnf(s6545,plain,
( ~ spl0_215
| ~ spl0_7
| ~ spl0_240
| ~ spl0_262
| spl0_280
| ~ spl0_225
| ~ spl0_98
| ~ spl0_234
| ~ spl0_260
| ~ spl0_159
| ~ spl0_397 ),
inference(rat,[],[s5244,s5246,s6376,s1695,s4502,s4184,s2236,s4679]) ).
cnf(s6546,plain,
( ~ spl0_386
| ~ spl0_216
| spl0_399
| ~ spl0_7
| ~ spl0_8
| ~ spl0_262
| ~ spl0_64
| ~ spl0_62
| ~ spl0_98
| spl0_267
| ~ spl0_38
| ~ spl0_249
| ~ spl0_28 ),
inference(rat,[],[s6541,s6544,s6095,s4455,s2237,s4456,s3671]) ).
cnf(s6547,plain,
( ~ spl0_84
| spl0_386
| ~ spl0_292
| spl0_224
| ~ spl0_260 ),
inference(rat,[],[s2351,s5565,s2380]) ).
cnf(s6548,plain,
( ~ spl0_220
| ~ spl0_166
| ~ spl0_85
| ~ spl0_216
| ~ spl0_7
| ~ spl0_262
| spl0_224
| ~ spl0_64
| ~ spl0_98
| ~ spl0_234
| ~ spl0_159
| ~ spl0_397 ),
inference(rat,[],[s5528,s6338,s2210,s4210,s1635,s4184,s2289,s1695,s3311,s5244,s2374,s5246]) ).
cnf(s6549,plain,
( ~ spl0_240
| ~ spl0_262
| ~ spl0_64
| ~ spl0_62
| ~ spl0_98
| spl0_267
| spl0_14
| ~ spl0_397
| ~ spl0_26
| spl0_16
| ~ spl0_28 ),
inference(rat,[],[s1695,s5373,s1635,s5636,s4785,s1664,s4502,s6474,s6548,s481,s6369,s6547,s6372,s4767,s3188,s3253,s5486,s1856,s6546,s6373,s6545,s5595,s6159,s6329,s3579,s2759,s3028,s5982,s2785,s2240,s2309,s6357,s2039,s4455,s510,s2237,s4456,s3671,s1549]) ).
cnf(s6550,plain,
( ~ spl0_64
| ~ spl0_62
| ~ spl0_98
| spl0_267
| spl0_14
| ~ spl0_397
| spl0_25
| spl0_371
| spl0_16
| ~ spl0_28 ),
inference(rat,[],[s4057,s5431,s4082,s2028,s6495,s3925,s6473,s6114,s2210,s6338,s1191,s2289,s613,s2281,s3311,s5244,s2374,s5246,s5906,s1034,s481,s6376,s5060,s2918,s6372,s4502,s3957,s5262,s2236,s2307,s6475,s6402,s5514,s4350,s6544,s6095,s6159,s6329,s1856,s4367,s2372,s6369,s2373,s5532,s5563,s6281,s6549,s6282,s5568,s2240,s4332,s2309,s6357,s2039,s2237,s4455,s2366,s1544,s18,s3028,s5982,s510,s3259,s12,s4456,s3671,s1549]) ).
cnf(s6551,plain,
( ~ spl0_259
| spl0_297
| ~ spl0_85
| ~ spl0_62
| ~ spl0_98
| ~ spl0_23 ),
inference(rat,[],[s2471,s6282,s4678,s3666,s3715]) ).
cnf(s6552,plain,
( spl0_224
| ~ spl0_85
| spl0_182
| spl0_64
| ~ spl0_62
| ~ spl0_98
| ~ spl0_260
| ~ spl0_23 ),
inference(rat,[],[s2240,s5596,s2309,s6357,s6551,s915]) ).
cnf(s6553,plain,
( spl0_267
| spl0_16
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s5244,s6276,s5246,s6376,s2210,s5636,s5906,s1034,s5060,s2918,s3957,s2236,s6475,s6275,s3906,s481,s6372,s5262,s2307,s5596,s6357,s5564,s6551,s4961,s5514,s1676,s933,s6281,s956,s2064,s6552,s5442,s4350,s6541,s5595,s6159,s6329,s210,s6402,s4442,s6095,s2314,s3085,s3658,s3112,s5521,s1542,s2288,s6550,s6278,s4456,s6261,s3671,s510,s1696,s12,s3678,s6210,s1549,s3028,s2955,s6228,s5982,s15,s6254]) ).
cnf(s6554,plain,
( ~ spl0_240
| ~ spl0_386
| spl0_356
| ~ spl0_419
| ~ spl0_267
| ~ spl0_38 ),
inference(rat,[],[s956,s3090,s5128,s3379,s6357,s6407,s5556,s6363,s5435,s3994,s4054,s4065]) ).
cnf(s6555,plain,
( ~ spl0_60
| ~ spl0_355
| spl0_93
| ~ spl0_386
| spl0_356
| ~ spl0_267
| ~ spl0_28 ),
inference(rat,[],[s6438,s5128,s5487,s3661,s3652]) ).
cnf(s6556,plain,
( ~ spl0_386
| spl0_356
| spl0_98
| ~ spl0_267
| spl0_14
| ~ spl0_38
| ~ spl0_28 ),
inference(rat,[],[s6351,s2314,s6555,s6363,s4077,s2051,s4442,s5562,s2050,s6159,s5603,s760,s6554,s3454,s5982,s6296]) ).
cnf(s6557,plain,
( spl0_396
| spl0_234
| ~ spl0_419
| spl0_274
| spl0_14
| ~ spl0_21 ),
inference(rat,[],[s11,s5995,s5678]) ).
cnf(s6558,plain,
( ~ spl0_240
| ~ spl0_62
| spl0_234
| spl0_415
| spl0_297
| spl0_356
| spl0_98
| ~ spl0_267
| ~ spl0_23
| ~ spl0_397
| spl0_16
| ~ spl0_28 ),
inference(rat,[],[s3666,s939,s6282,s5128,s2471,s6363,s4367,s4054,s6084,s3028]) ).
cnf(s6559,plain,
( spl0_234
| spl0_415
| spl0_297
| spl0_356
| spl0_98
| ~ spl0_267
| spl0_14
| ~ spl0_397
| spl0_16
| ~ spl0_28 ),
inference(rat,[],[s4336,s2029,s5517,s6379,s4077,s4367,s5562,s6159,s760,s6281,s6558,s6371,s4011,s6557,s12,s5982,s15,s3737,s6296,s1856,s6556,s3028]) ).
cnf(s6560,plain,
( ~ spl0_240
| ~ spl0_234
| ~ spl0_64
| spl0_510
| ~ spl0_267
| ~ spl0_38 ),
inference(rat,[],[s6365,s2237,s5635,s2805,s4054,s2759]) ).
cnf(s6561,plain,
( ~ spl0_60
| ~ spl0_355
| ~ spl0_262
| ~ spl0_65
| ~ spl0_12
| spl0_356 ),
inference(rat,[],[s5128,s6357,s481,s3650,s2381,s2396]) ).
cnf(s6562,plain,
( ~ spl0_64
| spl0_514
| spl0_297
| spl0_356
| spl0_98
| ~ spl0_267
| spl0_14
| ~ spl0_397
| spl0_16
| ~ spl0_28 ),
inference(rat,[],[s3666,s2052,s6351,s6402,s6561,s6363,s5735,s4077,s6372,s2051,s5562,s4856,s2050,s6159,s5603,s760,s6560,s6559,s2366,s3028,s6296,s3662,s5982]) ).
cnf(s6563,plain,
( spl0_98
| ~ spl0_267
| spl0_14
| ~ spl0_397
| spl0_16
| spl0_1 ),
inference(rat,[],[s3658,s6562,s5169,s6556,s934,s5345,s1696,s3678,s6210,s917,s2781,s6228,s1549,s3028]) ).
cnf(s6564,plain,
( ~ spl0_386
| spl0_399
| ~ spl0_507
| ~ spl0_98
| ~ spl0_267
| ~ spl0_38
| ~ spl0_28 ),
inference(rat,[],[s915,s956,s6253,s2470,s6541,s4427,s3551,s4065,s5686,s6282,s6049,s6329,s4442,s3693]) ).
cnf(s6565,plain,
( ~ spl0_216
| ~ spl0_538
| spl0_253
| spl0_523
| ~ spl0_391 ),
inference(rat,[],[s2081,s4193,s4147,s5520]) ).
cnf(s6566,plain,
( spl0_236
| ~ spl0_215
| ~ spl0_11
| ~ spl0_267
| ~ spl0_38
| ~ spl0_249 ),
inference(rat,[],[s3892,s2679,s3957]) ).
cnf(s6567,plain,
( ~ spl0_219
| spl0_291
| spl0_272
| spl0_356
| spl0_224
| ~ spl0_240
| spl0_545
| ~ spl0_355
| ~ spl0_85
| ~ spl0_64
| ~ spl0_267
| ~ spl0_18
| ~ spl0_28 ),
inference(rat,[],[s5638,s6113]) ).
cnf(s6568,plain,
( spl0_293
| ~ spl0_273
| ~ spl0_236
| ~ spl0_215
| ~ spl0_166
| spl0_224
| ~ spl0_275
| ~ spl0_240
| spl0_545
| ~ spl0_297
| ~ spl0_355
| spl0_497
| ~ spl0_85
| spl0_381
| spl0_445
| ~ spl0_64
| ~ spl0_51
| ~ spl0_7
| ~ spl0_285
| ~ spl0_477
| ~ spl0_267
| ~ spl0_18
| ~ spl0_28 ),
inference(rat,[],[s6496,s3258,s1141,s4182,s6495,s6473,s6265,s6114,s5906,s767,s1695,s5073,s6376,s6567,s3231,s2280,s2210,s1178,s4589]) ).
cnf(s6569,plain,
( spl0_16
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1695,s5373,s1635,s6568,s6338,s2081,s4785,s6566,s6475,s6565,s1866,s6372,s4839,s6409,s6123,s5116,s539,s3750,s933,s5374,s5658,s11,s5359,s2471,s6363,s5678,s2299,s4011,s3742,s4001,s3580,s1545,s6371,s3660,s2095,s6417,s3261,s2039,s5684,s5682,s3905,s4194,s3658,s1856,s6564,s5595,s3540,s6159,s6329,s6282,s4442,s6049,s4363,s3693,s6563,s6553,s6368,s15,s5982,s6254,s3028,s1549,s917,s2955,s2781,s6228,s3678,s12,s1696,s6210]) ).
cnf(s6570,plain,
( ~ spl0_216
| spl0_522
| ~ spl0_92
| ~ spl0_56
| ~ spl0_238
| ~ spl0_63
| ~ spl0_275
| ~ spl0_510
| spl0_507
| spl0_253
| ~ spl0_14
| ~ spl0_260
| spl0_402
| ~ spl0_5 ),
inference(rat,[],[s4486,s3378,s6474,s1737,s3048,s5429,s5507,s5906,s2920,s3907,s2027,s5520,s6363]) ).
cnf(s6571,plain,
( spl0_62
| spl0_224
| ~ spl0_419
| ~ spl0_262
| spl0_253
| ~ spl0_234
| ~ spl0_249
| spl0_15
| ~ spl0_14
| spl0_38
| ~ spl0_260
| spl0_402
| ~ spl0_16
| ~ spl0_5 ),
inference(rat,[],[s3150,s5954,s5073,s5906,s3957,s520,s3924,s2214,s470,s4679,s6475,s6570,s3,s3309,s4610,s4571,s4992,s106,s6407,s6329,s3112,s3650,s2847,s2226,s1666,s107,s6402,s2653,s3256,s5576,s2095,s6417,s3172,s3397,s2756,s3105,s776,s5635,s5435,s3382,s3287,s6364,s5466,s2384,s2575,s2037,s28,s6363]) ).
cnf(s6572,plain,
( ~ spl0_216
| ~ spl0_295
| spl0_269
| ~ spl0_126
| ~ spl0_415
| spl0_45
| spl0_98
| spl0_15
| ~ spl0_28 ),
inference(rat,[],[s1068,s2828,s6233,s970]) ).
cnf(s6573,plain,
( ~ spl0_386
| ~ spl0_14
| spl0_38
| spl0_267
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s5955,s3251,s2873,s3957,s520,s2214,s6475,s6572,s4930,s2390,s2262,s6496,s6235,s2701,s4,s3085,s2571,s210,s1542,s3666,s6095,s2314,s4455,s6571,s2039,s3382,s3287,s6364,s2209,s6210,s2823,s917,s2781,s5466,s6282,s2961,s2756,s6296,s4456,s776,s2384,s2575,s2037,s28,s510,s6363,s865,s3377,s1696,s3671,s1549,s2955,s20,s6569]) ).
cnf(s6574,plain,
( ~ spl0_14
| spl0_38
| spl0_267
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s6571,s4455,s2064,s1638,s107,s6369,s3760,s1540,s3658,s1856,s6573,s6296,s4456,s776,s2384,s2575,s6282,s2037,s2961,s6363,s865,s3671,s1549,s917,s2955,s2781,s3377,s20,s6210,s2823,s6569,s1696,s510,s2756,s28]) ).
cnf(s6575,plain,
( ~ spl0_64
| spl0_432
| ~ spl0_79
| ~ spl0_386
| ~ spl0_419
| ~ spl0_179
| ~ spl0_9
| spl0_545
| spl0_267
| ~ spl0_16
| ~ spl0_4 ),
inference(rat,[],[s5576,s960,s3671,s5633,s4083,s1549,s6357,s776,s2955,s1666,s3078,s5353,s3844,s6369,s2022,s3146,s5299,s6407,s2461,s1544,s5594,s2578]) ).
cnf(s6576,plain,
( ~ spl0_413
| ~ spl0_25
| ~ spl0_419
| ~ spl0_18
| ~ spl0_9
| ~ spl0_16
| ~ spl0_28 ),
inference(rat,[],[s6029,s4893,s2051]) ).
cnf(s6577,plain,
( ~ spl0_7
| ~ spl0_25
| ~ spl0_28
| spl0_98
| ~ spl0_9 ),
inference(rat,[],[s6103,s6054]) ).
cnf(s6578,plain,
( ~ spl0_25
| spl0_98
| spl0_14
| ~ spl0_9
| ~ spl0_16
| ~ spl0_28 ),
inference(rat,[],[s6577,s10,s2050,s6576,s5982,s6296]) ).
cnf(s6579,plain,
( ~ spl0_240
| ~ spl0_234
| spl0_62
| ~ spl0_386
| ~ spl0_419
| ~ spl0_179
| ~ spl0_18
| ~ spl0_260
| ~ spl0_16 ),
inference(rat,[],[s5735,s4889,s4893,s2051,s861,s3489,s2388,s5576,s2718,s2209,s776,s6417]) ).
cnf(s6580,plain,
( spl0_62
| ~ spl0_386
| ~ spl0_419
| ~ spl0_179
| ~ spl0_18
| spl0_451
| ~ spl0_9
| spl0_267
| ~ spl0_16
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s2251,s865,s6372,s861,s2022,s2388,s3078,s2720,s6579,s3671,s2853,s5216,s6575,s2361,s6367,s6417,s510,s4400,s5594]) ).
cnf(s6581,plain,
( ~ spl0_10
| spl0_225
| ~ spl0_477
| ~ spl0_240
| ~ spl0_7
| ~ spl0_70
| spl0_45
| ~ spl0_234
| ~ spl0_249
| ~ spl0_260
| ~ spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s3626,s6495,s4930,s5346,s2390,s733,s2262,s6496,s6235,s2701,s6363,s865]) ).
cnf(s6582,plain,
( spl0_215
| ~ spl0_166
| ~ spl0_85
| spl0_224
| ~ spl0_415
| ~ spl0_240
| ~ spl0_7
| ~ spl0_259
| spl0_269
| spl0_445
| ~ spl0_126 ),
inference(rat,[],[s1695,s1635,s2828,s2210,s970,s6124,s6373]) ).
cnf(s6583,plain,
( ~ spl0_386
| spl0_98
| spl0_38
| spl0_267
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3233,s3229,s4497,s6474,s5906,s5073,s3924,s4986,s2680,s2214,s470,s4679,s6582,s2697,s1851,s4,s6581,s2209,s777,s3105,s3666,s5603,s10,s6282,s2663,s3472,s2961,s6363,s865,s3085,s2251,s5124,s1542,s2288,s6372,s6258,s3146,s210,s6095,s2314,s6580,s510,s3172,s6210,s5228,s5982,s6296,s3671,s1549,s2955,s6578,s6574,s2756,s6569,s1696]) ).
cnf(s6584,plain,
( ~ spl0_224
| ~ spl0_240
| spl0_432
| ~ spl0_162
| ~ spl0_234
| ~ spl0_16 ),
inference(rat,[],[s5974,s5299,s107,s2647,s2064,s2228]) ).
cnf(s6585,plain,
( spl0_224
| ~ spl0_79
| spl0_510
| ~ spl0_64
| ~ spl0_51
| ~ spl0_234
| ~ spl0_467
| ~ spl0_419
| spl0_451 ),
inference(rat,[],[s2376,s3379,s2653,s5635,s3495,s5576,s6364]) ).
cnf(s6586,plain,
( spl0_62
| spl0_514
| spl0_386
| ~ spl0_234
| ~ spl0_249
| ~ spl0_467
| ~ spl0_419
| ~ spl0_179
| ~ spl0_18
| spl0_451
| ~ spl0_260
| ~ spl0_16 ),
inference(rat,[],[s4063,s6372,s861,s4856,s2388,s5603,s2720,s6584,s3886,s6585,s2361,s6417,s1856,s3659,s1544,s3658]) ).
cnf(s6587,plain,
( spl0_98
| spl0_38
| spl0_267
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3472,s5603,s6363,s2064,s2369,s3961,s3495,s4083,s3379,s6357,s2039,s4455,s6586,s1544,s3658,s5169,s1856,s6583,s3671,s1549,s2955,s6578,s5594,s6296,s1696,s6569,s510,s2756,s3172,s6210,s5228,s5982,s6574]) ).
cnf(s6588,plain,
( spl0_249
| ~ spl0_386
| ~ spl0_209
| ~ spl0_9
| ~ spl0_16
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s3146,s6407,s3383,s2244,s2412,s1544,s2955,s5216,s1549,s2853]) ).
cnf(s6589,plain,
( ~ spl0_216
| ~ spl0_88
| ~ spl0_280
| spl0_501
| ~ spl0_9
| spl0_267 ),
inference(rat,[],[s3218,s1882,s3894,s1722,s2636]) ).
cnf(s6590,plain,
( ~ spl0_386
| spl0_62
| spl0_38
| spl0_267
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2991,s3010,s4242,s5335,s6473,s2280,s2210,s3925,s3019,s6376,s6338,s5639,s5906,s3218,s2815,s4981,s1032,s3957,s2236,s6475,s6589,s6495,s6266,s915,s3112,s2299,s2376,s939,s2309,s4,s2240,s2700,s5568,s2477,s3540,s6282,s3254,s3538,s3551,s6369,s4909,s3146,s5299,s6407,s2251,s6329,s865,s5595,s861,s2371,s2388,s5563,s2720,s6281,s776,s4456,s1011,s2785,s3671,s6588,s1696,s6569,s510,s2756,s5228,s6587,s3261,s6367,s3660,s2361,s5982,s6574,s3172,s6210]) ).
cnf(s6593,plain,
( spl0_12
| ~ spl0_25
| spl0_62
| ~ spl0_18
| ~ spl0_28 ),
inference(rat,[],[s6138,s6159]) ).
cnf(s6594,plain,
( spl0_249
| spl0_514
| spl0_62
| spl0_14
| ~ spl0_9
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3383,s2396,s6351,s6372,s2051,s4856,s2050,s10,s6057,s6593,s1544,s2955,s5216,s1549,s2853,s1696,s5982,s6367,s6210]) ).
cnf(s6595,plain,
( spl0_62
| spl0_38
| spl0_267
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s5980,s4614,s4063,s2376,s3673,s939,s2373,s4914,s861,s2372,s4430,s2388,s5563,s6364,s2720,s6281,s2237,s776,s4456,s3658,s3671,s6594,s5169,s1856,s6590,s1696,s6210,s6569,s510,s2756,s5228,s5982,s6574,s6587]) ).
cnf(s6596,plain,
( spl0_234
| spl0_38
| spl0_267
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s4,s6032,s2247,s6145,s3715,s939,s6287,s6038,s87,s57,s2955,s479,s1549,s3671,s1696,s6210,s6569,s2756,s6587,s6595]) ).
cnf(s6597,plain,
( ~ spl0_64
| ~ spl0_12
| spl0_70
| ~ spl0_225
| ~ spl0_234
| ~ spl0_62
| ~ spl0_260
| ~ spl0_16
| ~ spl0_28 ),
inference(rat,[],[s2251,s6372,s6547,s3252,s6357,s6379,s6250,s2039,s2721,s2237,s4455,s6281,s776,s3655]) ).
cnf(s6598,plain,
( spl0_38
| spl0_267
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s5980,s3146,s2251,s6095,s3658,s6597,s6329,s865,s5595,s861,s2371,s2388,s5563,s2720,s6281,s1549,s776,s2955,s4456,s1011,s6596,s6595,s6587,s5228,s5982,s6574,s2756,s1696,s6569,s510]) ).
cnf(s6599,plain,
( ~ spl0_14
| spl0_98
| spl0_267
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s4570,s5518,s6363,s5514,s6281,s865,s2782,s3671,s1549,s6329,s2955,s2846,s3377,s20,s4444,s1696,s2758,s6598,s6569]) ).
cnf(s6600,plain,
( ~ spl0_25
| ~ spl0_18
| spl0_62
| ~ spl0_38
| ~ spl0_16
| ~ spl0_28 ),
inference(rat,[],[s29,s6593]) ).
cnf(s6601,plain,
( spl0_98
| spl0_62
| spl0_267
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s6255,s4034,s1197,s2226,s3254,s6351,s5735,s2051,s861,s2050,s3472,s6159,s5603,s760,s2782,s3671,s2095,s1549,s917,s2955,s2781,s6600,s5982,s1507,s6599,s6296,s1696,s4400,s6210,s2758,s6598,s6569]) ).
cnf(s6602,plain,
( ~ spl0_14
| spl0_62
| spl0_267
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s6248,s5563,s5514,s6281,s2782,s6249,s3671,s1549,s6329,s2955,s2846,s20,s4444,s1696,s2758,s6598,s6569,s6601]) ).
cnf(s6603,plain,
( ~ spl0_85
| ~ spl0_64
| ~ spl0_159
| ~ spl0_16 ),
inference(rat,[],[s3198,s1638]) ).
cnf(s6604,plain,
( ~ spl0_64
| spl0_240
| ~ spl0_225
| ~ spl0_249
| ~ spl0_18
| spl0_384
| spl0_62
| ~ spl0_159
| spl0_267
| ~ spl0_16
| ~ spl0_5 ),
inference(rat,[],[s4063,s3673,s861,s6438,s6547,s2244,s3472,s6372,s10,s5474,s1545,s1197,s6379,s6603,s6364,s2237,s1544,s510]) ).
cnf(s6605,plain,
( ~ spl0_60
| spl0_93
| spl0_83
| ~ spl0_284
| spl0_444
| ~ spl0_98 ),
inference(rat,[],[s5974,s5532,s3661,s3538]) ).
cnf(s6606,plain,
( ~ spl0_216
| spl0_305
| spl0_88
| ~ spl0_85
| ~ spl0_126
| spl0_269
| spl0_240 ),
inference(rat,[],[s763,s5077,s5508,s970]) ).
cnf(s6607,plain,
( spl0_62
| spl0_267
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s5926,s6114,s613,s6473,s5244,s3925,s5246,s5906,s6376,s5060,s2918,s4502,s3957,s2236,s6475,s6606,s2280,s2210,s6495,s1635,s6126,s6127,s4624,s3558,s2304,s6363,s865,s3906,s10,s2251,s481,s4350,s2050,s6372,s6369,s2051,s5262,s5572,s6351,s210,s6402,s6605,s3454,s3085,s2913,s1209,s3658,s1542,s6604,s3056,s2338,s6281,s2782,s4456,s2785,s3671,s2095,s1549,s917,s2955,s18,s2781,s6600,s3660,s5297,s5982,s1507,s6602,s6601,s3261,s1696,s6210,s510,s2759,s2758,s6598,s6569]) ).
cnf(s6608,plain,
( ~ spl0_64
| ~ spl0_262
| ~ spl0_284
| spl0_224
| ~ spl0_234
| ~ spl0_70
| ~ spl0_511
| ~ spl0_62
| ~ spl0_28 ),
inference(rat,[],[s3252,s6407,s2698,s6250,s1540]) ).
cnf(s6609,plain,
( ~ spl0_14
| spl0_267
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s6541,s4693,s6095,s3454,s3658,s6608,s3558,s2305,s2304,s6363,s6281,s865,s2782,s6249,s3671,s1549,s6329,s2955,s18,s6599,s2846,s3377,s4692,s20,s510,s4444,s1696,s2758,s6598,s6569,s6607]) ).
cnf(s6610,plain,
( spl0_234
| ~ spl0_18
| ~ spl0_62
| ~ spl0_38
| spl0_267
| ~ spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s6145,s6103,s939,s6159,s6038,s29,s57,s2955,s1549,s3671]) ).
cnf(s6611,plain,
( spl0_98
| spl0_267
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s6547,s2369,s6357,s6379,s6372,s2698,s6603,s1544,s4856,s3029,s5169,s5735,s2314,s2955,s2051,s861,s4442,s379,s2050,s3472,s6159,s5603,s760,s6296,s6210,s510,s2759,s2782,s6610,s5982,s6609,s6607,s1696,s2758,s6598,s6569]) ).
cnf(s6612,plain,
( ~ spl0_64
| ~ spl0_225
| spl0_240
| ~ spl0_234
| spl0_384
| ~ spl0_62
| ~ spl0_159
| ~ spl0_260
| ~ spl0_16
| ~ spl0_28 ),
inference(rat,[],[s2244,s6372,s6547,s5474,s6357,s1197,s6379,s6364,s2039,s6603,s2237,s4455,s1544]) ).
cnf(s6613,plain,
( spl0_267
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s865,s2251,s861,s6372,s2304,s5262,s4624,s2307,s5596,s6357,s6551,s933,s5514,s6369,s1644,s6329,s5572,s108,s6402,s4442,s6095,s2314,s3454,s2913,s3658,s6612,s1549,s2955,s4456,s1011,s6611,s3056,s6281,s2782,s6610,s15,s5982,s1507,s6609,s6607,s2758,s2759,s6598,s510,s1696,s6210,s6569]) ).
cnf(s6614,plain,
( ~ spl0_386
| spl0_139
| ~ spl0_56
| spl0_98
| ~ spl0_14
| spl0_62
| ~ spl0_267
| spl0_402
| ~ spl0_28 ),
inference(rat,[],[s3090,s5556,s4098,s3236,s6282,s6161,s3379,s6357,s5487,s5686,s6296]) ).
cnf(s6615,plain,
( ~ spl0_216
| ~ spl0_45
| spl0_97
| spl0_98
| ~ spl0_249
| spl0_15
| ~ spl0_70
| ~ spl0_14
| ~ spl0_39
| spl0_402 ),
inference(rat,[],[s1068,s2815,s1001,s3957,s6279,s697,s2920,s2633]) ).
cnf(s6617,plain,
( ~ spl0_232
| ~ spl0_215
| spl0_253
| spl0_391
| ~ spl0_51
| ~ spl0_56
| ~ spl0_64
| ~ spl0_39
| ~ spl0_267 ),
inference(rat,[],[s2585,s3082,s6474,s4865,s3922]) ).
cnf(s6618,plain,
( spl0_242
| ~ spl0_236
| spl0_288
| ~ spl0_7
| spl0_253
| ~ spl0_51
| ~ spl0_56
| spl0_98
| ~ spl0_39
| ~ spl0_16 ),
inference(rat,[],[s2585,s6474,s3082,s710,s613]) ).
cnf(s6619,plain,
( ~ spl0_64
| spl0_282
| spl0_234
| spl0_98
| ~ spl0_240
| ~ spl0_249
| spl0_15
| ~ spl0_14
| spl0_62
| spl0_38
| ~ spl0_267
| ~ spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s4210,s3082,s4986,s2585,s5638,s6474,s5244,s6618,s4785,s3957,s6617,s5052,s6475,s6615,s3,s6329,s4570,s2226,s6363,s956,s3236,s5225,s2863,s6282,s3309,s6161,s3324,s6357,s1666,s1638,s6369,s1734,s3760,s2203,s1856,s6614,s3652,s2321,s3146,s4992,s6407,s1540,s2823,s2756,s28,s3377]) ).
cnf(s6620,plain,
( ~ spl0_56
| ~ spl0_386
| spl0_98
| ~ spl0_14
| spl0_62
| ~ spl0_9
| ~ spl0_267
| spl0_402
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s3652,s6614,s3146]) ).
cnf(s6621,plain,
( spl0_64
| spl0_98
| ~ spl0_14
| spl0_62
| ~ spl0_9
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s861,s2663,s4063,s6007,s4096,s3256,s210,s6402,s2847,s6372,s6620,s5124,s3658,s6210,s2823,s1696,s6613,s1549,s2955,s2095,s917,s2781,s20,s6569,s6296]) ).
cnf(s6622,plain,
( spl0_98
| ~ spl0_240
| ~ spl0_14
| spl0_62
| spl0_38
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s6619,s4399,s2064,s2863,s3309,s3324,s1666,s107,s6369,s3760,s1856,s6620,s4992,s2321,s6407,s1540,s6621,s6210,s2823,s6613,s2756,s28,s3377,s1696,s917,s2781,s1549,s2955,s20,s6569]) ).
cnf(s6623,plain,
( ~ spl0_98
| ~ spl0_14
| ~ spl0_9
| ~ spl0_267
| ~ spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s2961,s6282,s4586,s6049,s4363]) ).
cnf(s6624,plain,
( ~ spl0_14
| spl0_62
| spl0_38
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s5230,s3896,s6363,s3236,s6282,s5248,s6161,s6357,s5682,s1638,s6369,s3760,s1856,s6620,s2321,s6407,s6281,s1540,s6622,s6621,s6623,s3377,s2823,s6569,s1696,s6613,s2756,s28]) ).
cnf(s6625,plain,
( ~ spl0_386
| ~ spl0_64
| ~ spl0_240
| spl0_98
| spl0_432
| ~ spl0_18
| spl0_62
| ~ spl0_267
| ~ spl0_16
| ~ spl0_28 ),
inference(rat,[],[s4889,s4893,s5556,s3489,s3090,s5576,s4098,s6282,s6161,s3379,s6357,s1666,s6369,s5299,s6407,s2244,s5686,s6417,s6296,s1544]) ).
cnf(s6626,plain,
( ~ spl0_489
| ~ spl0_64
| ~ spl0_240
| ~ spl0_419
| ~ spl0_18
| ~ spl0_16 ),
inference(rat,[],[s1666,s3379,s4453]) ).
cnf(s6627,plain,
( ~ spl0_64
| ~ spl0_240
| spl0_98
| spl0_432
| ~ spl0_179
| ~ spl0_18
| spl0_62
| ~ spl0_9
| ~ spl0_267
| ~ spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s6351,s5208,s4893,s2051,s5209,s4029,s6282,s5556,s2961,s4341,s1540,s6372,s4975,s6626,s1856,s6625,s6296]) ).
cnf(s6628,plain,
( ~ spl0_56
| ~ spl0_386
| ~ spl0_240
| spl0_98
| ~ spl0_18
| spl0_62
| ~ spl0_9
| ~ spl0_267
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s4889,s4893,s5556,s3489,s3090,s5576,s4098,s6282,s6161,s3379,s6357,s5487,s3652,s3146,s6417,s6296,s5686]) ).
cnf(s6629,plain,
( ~ spl0_253
| ~ spl0_65
| spl0_462
| ~ spl0_240
| spl0_98
| ~ spl0_18
| spl0_62
| ~ spl0_267
| ~ spl0_16 ),
inference(rat,[],[s4893,s4889,s3489,s6282,s5576,s6161,s4096,s6357,s4063,s3705,s6417,s6296]) ).
cnf(s6630,plain,
( ~ spl0_240
| ~ spl0_249
| spl0_98
| spl0_432
| ~ spl0_179
| ~ spl0_18
| spl0_62
| ~ spl0_9
| ~ spl0_267
| ~ spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s6561,s6351,s1178,s4893,s2051,s4098,s4029,s6282,s5556,s2961,s6363,s6629,s6372,s6628,s5686,s2578,s3658,s6627,s3660,s6296]) ).
cnf(s6631,plain,
( ~ spl0_386
| ~ spl0_162
| ~ spl0_60
| ~ spl0_262
| ~ spl0_12
| ~ spl0_419
| spl0_432
| ~ spl0_267
| ~ spl0_16
| ~ spl0_28 ),
inference(rat,[],[s3254,s5556,s6369,s3090,s5299,s6407,s3379,s4098,s2244,s5487,s5686,s3652]) ).
cnf(s6632,plain,
( ~ spl0_64
| ~ spl0_60
| ~ spl0_262
| ~ spl0_12
| ~ spl0_19
| spl0_356
| ~ spl0_419
| spl0_432
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s6452,s4341,s6561,s1540,s6372,s4856,s5169,s6631,s1544,s1696,s6210,s6569,s6613]) ).
cnf(s6633,plain,
( spl0_98
| spl0_62
| spl0_38
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3090,s5556,s6407,s3254,s481,s2653,s5576,s3379,s4098,s5487,s5686,s3658,s6632,s2381,s3652,s6351,s5735,s2051,s2050,s6159,s5600,s2338,s760,s6630,s1549,s2955,s6578,s6296,s1696,s6569,s6613,s2756,s6417,s1507,s5228,s2361,s5982,s6624,s3172,s6210]) ).
cnf(s6635,plain,
( spl0_64
| ~ spl0_253
| ~ spl0_98
| ~ spl0_18
| ~ spl0_209
| ~ spl0_79
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s6253,s3705,s915,s2578,s4096,s3658,s4063,s2853,s6416,s5216,s3112,s1542,s6210,s3540,s4405,s865,s4341,s6569,s6282,s6049,s6613,s1696]) ).
cnf(s6636,plain,
( spl0_62
| spl0_38
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s4194,s5682,s1856,s1638,s3551,s6369,s3146,s5299,s6407,s1540,s6635,s4341,s2961,s3540,s6282,s6049,s3693,s6633,s2361,s5982,s6624,s6367,s6417,s1696,s6569,s6613,s2756,s3172,s6210]) ).
cnf(s6637,plain,
( ~ spl0_64
| ~ spl0_70
| ~ spl0_62
| ~ spl0_39
| ~ spl0_9
| ~ spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s1856,s6095,s3760,s3146,s6379,s2321,s6407,s1638,s1540,s4455]) ).
cnf(s6638,plain,
( ~ spl0_14
| spl0_38
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s6438,s3705,s5247,s2961,s6372,s6282,s3146,s6497,s5225,s6095,s2314,s2578,s3029,s1542,s6637,s5175,s2955,s6623,s3377,s20,s1696,s6569,s6613,s2756,s28,s6636]) ).
cnf(s6639,plain,
( ~ spl0_216
| spl0_523
| spl0_17
| spl0_253
| ~ spl0_391
| spl0_415
| spl0_98
| ~ spl0_62 ),
inference(rat,[],[s1001,s2931,s6279,s2081,s2921,s4193,s5520]) ).
cnf(s6640,plain,
( ~ spl0_64
| ~ spl0_249
| spl0_98
| ~ spl0_179
| ~ spl0_18
| spl0_384
| ~ spl0_62
| ~ spl0_39
| ~ spl0_9
| ~ spl0_267
| ~ spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s6376,s5636,s5244,s2084,s4785,s3027,s1032,s1695,s4008,s6475,s6639,s4,s10,s2700,s2053,s5231,s6409,s6402,s1190,s5208,s2064,s5209,s3961,s1178,s2338,s4083,s5128,s1856,s3276,s6357,s2314,s4893,s3666,s5225,s4029,s6282,s5556,s2961,s6363,s4403,s4341,s1638,s6637,s4455,s2366,s6296]) ).
cnf(s6641,plain,
( spl0_98
| ~ spl0_179
| spl0_14
| ~ spl0_62
| ~ spl0_39
| ~ spl0_9
| ~ spl0_267
| ~ spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s6438,s3705,s5247,s2961,s6372,s6282,s3146,s6497,s5225,s6095,s2314,s2578,s3029,s1542,s6640,s1549,s2955,s5175,s6578,s1507,s5982]) ).
cnf(s6642,plain,
( spl0_38
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s6152,s2863,s2955,s5640,s3029,s1856,s5686,s4427,s6253,s6149,s1679,s3112,s6637,s865,s4341,s2961,s3540,s6282,s6049,s6641,s5228,s5982,s6638,s6636,s28,s81,s2756,s1696,s6210,s6569,s6613]) ).
cnf(s6643,plain,
( ~ spl0_64
| ~ spl0_399
| ~ spl0_70
| ~ spl0_159
| ~ spl0_16 ),
inference(rat,[],[s2020,s6407,s6379,s1540,s6603]) ).
cnf(s6644,plain,
( ~ spl0_14
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3256,s6402,s2349,s6095,s5686,s2344,s3029,s6643,s6244,s6220,s934,s6296,s3633,s4363,s865,s4586,s861,s2305,s4961,s5564,s6282,s1549,s917,s6329,s6281,s5225,s2955,s2781,s2846,s5676,s2765,s3377,s4692,s20,s6210,s6569,s6613,s2759,s4444,s6642,s1696]) ).
cnf(s6645,plain,
( ~ spl0_386
| spl0_7
| spl0_381
| spl0_14
| ~ spl0_38
| ~ spl0_267
| ~ spl0_28 ),
inference(rat,[],[s1178,s4098,s6556,s5686,s5735,s6296,s3693,s4442,s6159,s2051,s2050,s10,s5982]) ).
cnf(s6646,plain,
( spl0_7
| spl0_62
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s5209,s2338,s5208,s6561,s6372,s4856,s5169,s6645,s5735,s6296,s6363,s6351,s3693,s4077,s2051,s4442,s5562,s2050,s6159,s10,s1696,s6210,s6613,s6642,s1507,s3660,s5982,s6644]) ).
cnf(s6647,plain,
( spl0_62
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s6049,s6282,s6556,s2471,s1178,s915,s4077,s1869,s4350,s4065,s3029,s3112,s6603,s1545,s6646,s2955,s6600,s3660,s1696,s6210,s6569,s6613,s2759,s6642,s5982,s15,s6644]) ).
cnf(s6648,plain,
( ~ spl0_386
| spl0_98
| ~ spl0_62
| spl0_14
| ~ spl0_38
| ~ spl0_267
| ~ spl0_28 ),
inference(rat,[],[s6080,s2338,s4442,s6556,s2314,s1507]) ).
cnf(s6649,plain,
( ~ spl0_253
| spl0_98
| ~ spl0_18
| ~ spl0_38
| ~ spl0_267
| ~ spl0_28 ),
inference(rat,[],[s6159,s5562,s1843,s4077,s3737]) ).
cnf(s6650,plain,
( spl0_98
| ~ spl0_64
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3231,s4497,s3219,s6474,s2084,s6338,s5244,s3027,s2081,s4785,s3957,s2815,s1695,s4008,s6475,s10,s6639,s2052,s5231,s6409,s6402,s5208,s6372,s2203,s1734,s2782,s5209,s2338,s5128,s6357,s3666,s5225,s4893,s2863,s6282,s4029,s5635,s2471,s5556,s6363,s6649,s3662,s5169,s1856,s6648,s934,s6296,s6210,s6613,s2758,s1507,s5982,s15,s6644,s2366,s4455,s6603,s2759,s6642,s6569,s917,s2781,s1549,s2955,s57,s1696,s6647]) ).
cnf(s6651,plain,
( ~ spl0_64
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1856,s6564,s4194,s5595,s3540,s6329,s6282,s5684,s4442,s6049,s4363,s3693,s6650,s1696,s6613,s6642,s6644,s6647]) ).
cnf(s6652,plain,
( spl0_98
| spl0_64
| ~ spl0_62
| spl0_14
| ~ spl0_38
| ~ spl0_267
| ~ spl0_16
| ~ spl0_4
| ~ spl0_28 ),
inference(rat,[],[s4893,s29,s4029,s2955,s5556,s3029,s6649,s6648,s6296,s5982]) ).
cnf(s6653,plain,
( spl0_64
| ~ spl0_62
| ~ spl0_28
| spl0_14
| ~ spl0_38
| ~ spl0_267
| ~ spl0_16
| ~ spl0_4 ),
inference(rat,[],[s6145,s2955,s4194,s3029,s1856,s6564,s5595,s3540,s6329,s6282,s4442,s6049,s3693,s6652]) ).
cnf(s6654,plain,
( ~ spl0_4
| spl0_1 ),
inference(rat,[],[s6653,s6651,s6647,s6644,s6642,s6613,s6569,s1696]) ).
cnf(s6655,plain,
( spl0_224
| spl0_59
| ~ spl0_12
| spl0_55
| ~ spl0_419
| spl0_62
| spl0_545
| spl0_451 ),
inference(rat,[],[s5435,s5474,s2226,s6407,s5735,s5208,s5318,s939,s2051,s6402,s2653,s5633,s3489,s3256,s5576,s6364,s6417]) ).
cnf(s6656,plain,
( spl0_16
| spl0_98
| spl0_62
| spl0_267
| spl0_38
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s4783,s6372,s861,s4767,s3376,s3189,s4694,s6409,s2226,s4098,s956,s6282,s6017,s6015,s2209,s960,s2237,s6655,s2095,s6283,s917,s479,s2781,s1200,s3682,s3840,s6228,s3678,s12,s2756,s3172,s510,s4400,s2245,s6296,s540,s2,s6654,s6210]) ).
cnf(s6657,plain,
( spl0_224
| ~ spl0_240
| ~ spl0_466
| ~ spl0_56
| ~ spl0_16
| ~ spl0_419
| ~ spl0_64
| ~ spl0_79
| spl0_451 ),
inference(rat,[],[s1666,s3379,s2653,s3090,s5576]) ).
cnf(s6658,plain,
( spl0_98
| spl0_62
| spl0_267
| spl0_38
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s5974,s107,s3760,s2064,s960,s6657,s776,s3078,s2022,s5556,s2321,s6407,s865,s1540,s3377,s6656,s5594,s540,s6296,s1696,s2756,s28,s3172,s6417,s2245,s2,s6654,s6210]) ).
cnf(s6659,plain,
( spl0_240
| spl0_399
| spl0_267
| ~ spl0_9 ),
inference(rat,[],[s5563,s2371,s6281]) ).
cnf(s6660,plain,
( spl0_16
| ~ spl0_98
| spl0_267
| spl0_38
| ~ spl0_14
| ~ spl0_5 ),
inference(rat,[],[s3579,s2786,s6659,s6283,s479,s3682,s3840,s12,s2756]) ).
cnf(s6661,plain,
( spl0_234
| spl0_25
| spl0_402
| spl0_267
| spl0_38
| ~ spl0_14 ),
inference(rat,[],[s3493,s2392,s5466,s6363,s3236,s6282,s5568,s1724,s3580,s81,s510]) ).
cnf(s6662,plain,
( spl0_62
| spl0_267
| spl0_38
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s2575,s6281,s6363,s776,s865,s4456,s6661,s2321,s6407,s1540,s3377,s20,s2823,s6660,s6658,s2245,s1696,s2,s6654,s6210,s28,s510]) ).
cnf(s6663,plain,
( spl0_16
| spl0_98
| ~ spl0_62
| spl0_38
| spl0_1 ),
inference(rat,[],[s6258,s6017,s1851,s2884,s63,s6283,s4,s479,s3401,s3682,s3840,s12,s1696,s2756,s81,s6296,s540,s2,s6654,s6210]) ).
cnf(s6664,plain,
( ~ spl0_64
| ~ spl0_72
| ~ spl0_70
| ~ spl0_16
| ~ spl0_234
| ~ spl0_419
| ~ spl0_62
| ~ spl0_28 ),
inference(rat,[],[s3760,s6379,s1856,s1638,s1540,s6258,s4455]) ).
cnf(s6665,plain,
( ~ spl0_213
| spl0_280
| ~ spl0_10
| ~ spl0_70
| ~ spl0_260 ),
inference(rat,[],[s4930,s3626,s2028]) ).
cnf(s6666,plain,
( ~ spl0_217
| ~ spl0_212
| ~ spl0_233
| ~ spl0_236
| ~ spl0_215
| ~ spl0_415
| ~ spl0_126
| spl0_269
| ~ spl0_234
| ~ spl0_2 ),
inference(rat,[],[s5266,s786,s1066,s6496,s4056,s3251]) ).
cnf(s6667,plain,
( ~ spl0_386
| spl0_269
| spl0_64
| ~ spl0_262
| ~ spl0_240
| ~ spl0_16
| spl0_98
| ~ spl0_62
| ~ spl0_260
| ~ spl0_9
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s2715,s5668,s4242,s6473,s6666,s6495,s6665,s5906,s3305,s2933,s3956,s3957,s520,s3924,s4986,s2214,s4679,s6475,s6572,s2701,s2240,s4,s4403,s2571,s5371,s3666,s479,s2663,s6287,s210,s2209,s6095,s2314,s917,s2781,s20,s1506,s1027,s2304,s6363,s865,s3377,s1696,s540,s2,s6654,s776,s1542,s5124,s6210]) ).
cnf(s6668,plain,
( spl0_98
| spl0_267
| spl0_38
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s2847,s6287,s6372,s479,s3479,s3658,s1856,s6667,s3085,s1542,s6664,s3499,s2384,s3493,s4704,s2575,s5466,s2037,s6363,s865,s3377,s2823,s6663,s540,s6296,s1696,s2,s6654,s6210,s2756,s28,s510,s6662]) ).
cnf(s6669,plain,
( spl0_267
| spl0_38
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s2317,s2575,s776,s2037,s6363,s4456,s865,s6661,s3377,s20,s2823,s6660,s6668,s510,s1696,s6210,s28]) ).
cnf(s6670,plain,
( ~ spl0_386
| spl0_59
| ~ spl0_12
| ~ spl0_162
| spl0_62
| ~ spl0_234
| ~ spl0_419
| ~ spl0_267
| spl0_451
| ~ spl0_28 ),
inference(rat,[],[s3090,s5556,s3379,s6407,s4898,s5487,s5735,s5208,s5318,s3652,s2051,s6402,s2653,s3489,s3256,s5576,s2228,s2248,s6417]) ).
cnf(s6671,plain,
( ~ spl0_253
| ~ spl0_85
| ~ spl0_51
| ~ spl0_12
| ~ spl0_26
| ~ spl0_64
| spl0_62
| ~ spl0_234
| spl0_98
| ~ spl0_9 ),
inference(rat,[],[s3253,s5476,s3254,s4889,s6282,s6161,s6357,s2376]) ).
cnf(s6672,plain,
( ~ spl0_259
| ~ spl0_64
| ~ spl0_234
| ~ spl0_267 ),
inference(rat,[],[s2039,s5682]) ).
cnf(s6673,plain,
( ~ spl0_56
| ~ spl0_466
| ~ spl0_85
| ~ spl0_51
| ~ spl0_12
| ~ spl0_262
| spl0_489
| ~ spl0_79
| spl0_38 ),
inference(rat,[],[s2226,s4966,s956,s2088,s3090,s4992]) ).
cnf(s6674,plain,
( spl0_16
| spl0_62
| spl0_98
| ~ spl0_267
| spl0_38
| spl0_1 ),
inference(rat,[],[s3717,s5476,s3256,s3253,s6402,s481,s6561,s6372,s6673,s5556,s6363,s6671,s6017,s1856,s6670,s2095,s6283,s917,s479,s18,s2781,s5345,s3682,s3840,s6228,s3678,s12,s1696,s2756,s3172,s6417,s1544,s3379,s6296,s6282,s6161,s6357,s6672,s2245,s540,s2,s6654,s6210]) ).
cnf(s6675,plain,
( spl0_62
| spl0_98
| spl0_38
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s107,s2064,s6369,s2384,s3760,s5230,s960,s2237,s3896,s3090,s5248,s6407,s1540,s5556,s2037,s6363,s3377,s4586,s6674,s3105,s6282,s6161,s3379,s6357,s6672,s2245,s1696,s28,s6669,s6296,s540,s2,s6654,s6210]) ).
cnf(s6676,plain,
( ~ spl0_386
| spl0_253
| ~ spl0_62
| ~ spl0_419
| ~ spl0_267
| ~ spl0_14
| ~ spl0_28 ),
inference(rat,[],[s4367,s2570,s5125,s2096,s6061,s3696,s3256,s6282,s6402,s5225,s2349,s6095,s2314,s5686,s6363]) ).
cnf(s6677,plain,
( spl0_98
| spl0_38
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s3335,s3479,s4992,s6407,s2847,s6287,s479,s3658,s1856,s6676,s1542,s6664,s2037,s6363,s865,s3377,s2823,s6663,s6675,s540,s6296,s1696,s2,s6654,s6210,s28,s6669]) ).
cnf(s6678,plain,
( ~ spl0_240
| ~ spl0_12
| ~ spl0_98
| ~ spl0_14 ),
inference(rat,[],[s3579,s2786]) ).
cnf(s6679,plain,
( spl0_16
| ~ spl0_209
| ~ spl0_64
| ~ spl0_285
| ~ spl0_98
| ~ spl0_267
| spl0_38
| ~ spl0_14
| ~ spl0_5 ),
inference(rat,[],[s6672,s939,s1692,s3739,s6678,s6283,s4,s479,s3401,s3840,s12,s2756,s81]) ).
cnf(s6680,plain,
( spl0_62
| spl0_38
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s3579,s2786,s5125,s933,s5420,s5107,s4973,s6357,s6402,s4427,s3551,s5686,s1856,s2088,s6407,s3696,s2749,s6363,s1540,s4586,s3377,s6679,s6367,s2245,s6417,s2,s6654,s6210,s28,s3693,s4363,s6282,s6049,s6677,s6669,s1696]) ).
cnf(s6681,plain,
( spl0_16
| spl0_38
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s2237,s5532,s4456,s1217,s1851,s6379,s1692,s6281,s2884,s6678,s63,s6283,s4,s479,s3401,s3682,s3840,s12,s1696,s2,s6654,s6210,s2756,s81,s6677,s6680]) ).
cnf(s6682,plain,
( ~ spl0_64
| ~ spl0_72
| ~ spl0_355
| ~ spl0_70
| ~ spl0_16
| ~ spl0_62
| ~ spl0_477
| ~ spl0_267
| ~ spl0_28 ),
inference(rat,[],[s5686,s2349,s1856,s1178,s2089,s5128,s6379,s6407,s3276,s6357,s1638,s1540,s5684,s4455]) ).
cnf(s6683,plain,
( ~ spl0_386
| spl0_133
| ~ spl0_355
| ~ spl0_62
| ~ spl0_98
| ~ spl0_267
| ~ spl0_28 ),
inference(rat,[],[s2663,s210,s4427,s6095,s5686]) ).
cnf(s6684,plain,
( ~ spl0_224
| ~ spl0_60
| ~ spl0_62
| ~ spl0_98 ),
inference(rat,[],[s3538,s2788]) ).
cnf(s6685,plain,
( spl0_38
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s5475,s5635,s6407,s6364,s2847,s6684,s6287,s479,s4615,s3658,s1856,s6683,s5124,s1542,s6682,s2037,s6363,s4586,s3377,s2823,s6681,s6680,s4363,s6677,s6669,s28,s2756,s1696,s6210]) ).
cnf(s6686,plain,
( ~ spl0_386
| spl0_59
| ~ spl0_162
| ~ spl0_234
| ~ spl0_419
| spl0_45
| ~ spl0_28 ),
inference(rat,[],[s3256,s2228,s6402,s2248,s3551]) ).
cnf(s6687,plain,
( spl0_60
| spl0_386
| spl0_59
| spl0_16
| ~ spl0_64
| ~ spl0_234
| spl0_98
| ~ spl0_8
| ~ spl0_159 ),
inference(rat,[],[s760,s2805,s3,s2237,s9,s3256,s6409,s6402,s6296]) ).
cnf(s6688,plain,
( ~ spl0_224
| ~ spl0_253
| ~ spl0_260
| spl0_15
| ~ spl0_249
| spl0_371
| spl0_16
| ~ spl0_64
| spl0_62
| ~ spl0_234
| spl0_98
| ~ spl0_38
| ~ spl0_14
| ~ spl0_28 ),
inference(rat,[],[s3444,s2296,s6280,s4691,s2987,s5217,s1030,s2836,s6496,s6234,s6475,s2210,s6233,s4009,s1068,s4048,s5073,s6376,s3532,s6338,s2081,s6236,s3198,s3188,s3320,s5679,s4767,s2203,s4571,s6357,s6407,s3650,s4783,s5518,s2229,s4098,s3236,s3105,s6281,s6282,s2805,s6015,s2228,s2237,s3261,s1856,s6687,s6686,s1544,s6296,s2765,s2095,s6329,s2846,s4444,s2759]) ).
cnf(s6689,plain,
( ~ spl0_253
| spl0_267
| spl0_15
| ~ spl0_249
| spl0_371
| spl0_16
| ~ spl0_64
| spl0_62
| ~ spl0_234
| spl0_98
| ~ spl0_38
| ~ spl0_14
| ~ spl0_28 ),
inference(rat,[],[s5980,s4614,s3705,s2376,s4914,s3379,s4430,s3495,s6364,s6688,s1856,s4529,s6687,s6686,s1544,s2765,s2095,s6329,s2846,s4444,s2759,s510,s5594,s6296]) ).
cnf(s6690,plain,
( spl0_267
| spl0_16
| spl0_62
| spl0_98
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s5217,s1030,s4691,s5660,s5687,s6495,s6265,s2210,s5441,s3408,s6376,s11,s5638,s6338,s66,s4183,s4865,s4584,s5906,s3616,s6259,s3957,s1107,s5061,s2236,s4679,s6475,s6229,s4570,s5591,s6379,s3198,s3650,s5435,s2039,s3379,s3495,s2237,s4694,s2805,s6282,s2304,s3376,s6274,s5374,s6363,s6689,s5594,s510,s4744,s3261,s6319,s5345,s3678,s5175,s479,s6283,s12,s1856,s6687,s6686,s1544,s6296,s2765,s2095,s917,s2781,s6228,s2245,s540,s2,s6654,s6210,s6329,s2846,s4444,s1696,s2759,s6685]) ).
cnf(s6691,plain,
( spl0_16
| spl0_62
| spl0_98
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s3738,s6357,s6282,s6281,s6672,s5225,s5676,s6690,s1696,s2765,s6685,s540,s2245,s2,s6654,s6367,s6210]) ).
cnf(s6692,plain,
( spl0_62
| spl0_98
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s4571,s6407,s5679,s1540,s3,s6603,s3377,s40,s6691,s2245,s2,s6654,s6210,s2759,s6329,s2846,s4444,s6685,s1696,s2766]) ).
cnf(s6693,plain,
( spl0_16
| ~ spl0_64
| spl0_98
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s2847,s2824,s6372,s4571,s3,s1843,s3737,s861,s6687,s5594,s5104,s2096,s6241,s6418,s3678,s12,s2759,s6258,s6296,s5175,s57,s5679,s4366,s4692,s6329,s2846,s4444,s6685,s6357,s2039,s4455,s1696,s6692,s540,s2,s6654,s6210]) ).
cnf(s6694,plain,
( ~ spl0_64
| spl0_98
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s5980,s4571,s1540,s3,s3377,s40,s6693,s5679,s4366,s2,s6654,s6210,s4692,s6329,s2846,s4444,s6685,s1696,s2766,s6692]) ).
cnf(s6695,plain,
( spl0_16
| spl0_98
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s4964,s6407,s4623,s1875,s4693,s3454,s3658,s6402,s479,s6188,s6319,s6283,s12,s2,s6654,s6210,s2846,s4444,s6685,s1696,s6692,s1542,s6694]) ).
cnf(s6696,plain,
( spl0_98
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s4570,s5514,s6363,s2782,s865,s3,s2758,s3377,s40,s6695,s540,s2766,s2,s6654,s6210,s6329,s2846,s4444,s6685,s1696]) ).
cnf(s6697,plain,
( spl0_16
| spl0_62
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s3633,s6672,s6252,s939,s861,s5247,s5374,s5564,s6282,s4148,s6281,s5225,s5676,s6251,s479,s6319,s6283,s12,s2765,s6329,s2846,s4444,s6685,s1696,s6696,s2245,s2,s6654,s6367,s6210]) ).
cnf(s6698,plain,
( spl0_62
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s4571,s5591,s6407,s5679,s6379,s1540,s6603,s3377,s6697,s2245,s2,s6654,s6210,s2759,s6329,s2846,s4444,s6685,s1696]) ).
cnf(s6699,plain,
( ~ spl0_64
| spl0_402
| ~ spl0_253
| ~ spl0_399
| ~ spl0_471
| ~ spl0_284
| ~ spl0_477
| ~ spl0_62
| ~ spl0_511
| ~ spl0_14 ),
inference(rat,[],[s4223,s6402,s2349,s2847,s4783,s6372,s2373,s2020,s6357,s6379,s5684,s4366]) ).
cnf(s6700,plain,
( spl0_16
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s5980,s4996,s1875,s4350,s6153,s3454,s3658,s6699,s3757,s4077,s861,s4961,s5374,s5564,s6282,s4148,s6281,s4363,s5225,s5676,s6251,s479,s6319,s6283,s12,s2,s6654,s6210,s4692,s2765,s6329,s2846,s4444,s6685,s1696,s6696,s6698]) ).
cnf(s6701,plain,
( ~ spl0_64
| ~ spl0_16
| ~ spl0_62
| ~ spl0_98
| ~ spl0_38
| ~ spl0_14
| ~ spl0_28 ),
inference(rat,[],[s5676,s4430,s2384,s4914,s5532,s6364,s1856,s4614,s6684,s6095,s6407,s6541,s1217,s6379,s1540,s6643,s4366,s2759,s4692,s6329,s2846,s4444,s3377]) ).
cnf(s6702,plain,
( ~ spl0_56
| spl0_85
| spl0_267
| ~ spl0_62
| ~ spl0_98
| ~ spl0_8
| ~ spl0_28 ),
inference(rat,[],[s4430,s4914,s6364,s1856,s6684,s6095,s6541,s2020,s4614,s6379]) ).
cnf(s6703,plain,
( ~ spl0_65
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s479,s3658,s6287,s3454,s2847,s1875,s2,s6654,s6210,s2823,s1542,s6701,s6700,s6698,s6696,s6685,s1696]) ).
cnf(s6704,plain,
( spl0_267
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s4430,s4914,s6364,s6684,s6287,s479,s4615,s3658,s1856,s3454,s4693,s6702,s6210,s6329,s2846,s4444,s1542,s6701,s6700,s6698,s6696,s6685,s1696,s6407,s6703]) ).
cnf(s6705,plain,
( ~ spl0_14
| spl0_1 ),
inference(rat,[],[s861,s5470,s4586,s6282,s6281,s4363,s5225,s5676,s6704,s4927,s4839,s6407,s6703,s6700,s6696,s2846,s2765,s4444,s6685,s1696]) ).
cnf(s6706,plain,
( spl0_16
| spl0_38
| spl0_1 ),
inference(rat,[],[s479,s6284,s3840,s12,s6210,s6705]) ).
cnf(s6707,plain,
( ~ spl0_56
| spl0_267
| ~ spl0_64
| spl0_62
| ~ spl0_16
| ~ spl0_179
| ~ spl0_9
| ~ spl0_234
| ~ spl0_419
| ~ spl0_18 ),
inference(rat,[],[s1856,s4975,s6579,s6626,s3078,s2022,s6417,s510,s5594]) ).
cnf(s6708,plain,
( spl0_267
| spl0_62
| spl0_38
| spl0_98
| spl0_1 ),
inference(rat,[],[s3472,s5600,s6363,s6584,s3716,s6585,s3662,s5169,s2461,s2244,s72,s1540,s6372,s6707,s5594,s6296,s540,s2756,s5228,s6706,s6417,s2361,s5982,s6705,s3172,s1544,s2245,s2,s6654,s6210]) ).
cnf(s6709,plain,
( ~ spl0_386
| spl0_62
| spl0_38
| spl0_98
| spl0_1 ),
inference(rat,[],[s760,s6159,s6625,s6670,s6296,s540,s2361,s5982,s3172,s1544,s2245,s2,s6654,s6210,s2095,s917,s2781,s6578,s6706,s2756,s6705,s1696,s6708]) ).
cnf(s6710,plain,
( spl0_62
| spl0_38
| spl0_98
| spl0_1 ),
inference(rat,[],[s6561,s2338,s6351,s6584,s4893,s2051,s2863,s4029,s5635,s5556,s6363,s4341,s1540,s3662,s4083,s5169,s1856,s6709,s6282,s6161,s6357,s6672,s6708,s1544,s2361,s2245,s1507,s6296,s540,s2,s6654,s3172,s6210,s5228,s5982,s6705,s6706]) ).
cnf(s6711,plain,
( spl0_267
| ~ spl0_462
| ~ spl0_65
| ~ spl0_292
| ~ spl0_84
| spl0_386
| ~ spl0_162
| spl0_98
| spl0_1 ),
inference(rat,[],[s3472,s5600,s6363,s2647,s3716,s2228,s6547,s510,s5982,s6705,s6296,s540,s2,s6654,s6210]) ).
cnf(s6712,plain,
( ~ spl0_64
| spl0_38
| spl0_98
| spl0_1 ),
inference(rat,[],[s2647,s2228,s2338,s2863,s5128,s5635,s6363,s4341,s6711,s2461,s1540,s3662,s4083,s6357,s6379,s5169,s1856,s2039,s1638,s6258,s4455,s1544,s1696,s1507,s6296,s540,s2,s6654,s6210,s5228,s5982,s6705,s6706,s6710]) ).
cnf(s6713,plain,
( ~ spl0_56
| spl0_88
| ~ spl0_259
| ~ spl0_59
| spl0_60
| ~ spl0_260
| spl0_38
| ~ spl0_419 ),
inference(rat,[],[s6452,s2299,s4704,s2096,s4966,s2021,s4992,s6402]) ).
cnf(s6714,plain,
( spl0_85
| ~ spl0_240
| ~ spl0_386
| spl0_267
| spl0_38
| spl0_98
| spl0_1 ),
inference(rat,[],[s5668,s3762,s6473,s6477,s6666,s3305,s6441,s3027,s2828,s3956,s3957,s520,s4986,s3213,s470,s2214,s4679,s5436,s6475,s6495,s6572,s6665,s2701,s2240,s5291,s4403,s6379,s917,s2781,s6578,s2756,s3085,s2314,s210,s479,s6287,s1542,s3666,s6282,s2477,s2344,s6712,s2251,s2304,s10,s3472,s6363,s4893,s4029,s5556,s3705,s6372,s6713,s3555,s510,s939,s2307,s1060,s3256,s2209,s776,s540,s2,s6654,s6210,s6402,s6095,s6710,s1696,s2578,s6706,s6296,s5982,s6705]) ).
cnf(s6715,plain,
( ~ spl0_240
| ~ spl0_386
| spl0_267
| spl0_38
| spl0_98
| spl0_1 ),
inference(rat,[],[s3233,s3229,s4497,s6474,s5906,s5073,s3957,s3924,s4986,s470,s2214,s4679,s6582,s481,s6714,s10,s3472,s6363,s3705,s6372,s6713,s3666,s3105,s3555,s6282,s939,s2477,s2307,s2344,s1060,s3256,s2209,s776,s5982,s6705,s6296,s540,s2,s6654,s2756,s2288,s510,s3085,s2578,s6706,s6402,s210,s479,s6287,s6095,s6710,s1696,s6210,s1542,s6712]) ).
cnf(s6716,plain,
( ~ spl0_216
| ~ spl0_280
| ~ spl0_59
| spl0_259
| ~ spl0_556
| ~ spl0_9 ),
inference(rat,[],[s1882,s5571,s1722,s5937]) ).
cnf(s6717,plain,
( spl0_324
| ~ spl0_474
| spl0_268
| ~ spl0_59
| spl0_259
| ~ spl0_225
| ~ spl0_2 ),
inference(rat,[],[s1066,s2792,s3049,s6477,s6496,s6441,s6435]) ).
cnf(s6718,plain,
( ~ spl0_386
| spl0_267
| spl0_38
| spl0_98
| spl0_1 ),
inference(rat,[],[s4864,s3070,s6473,s6495,s884,s997,s2917,s2390,s2987,s6717,s3478,s2828,s1032,s3957,s1107,s2236,s6475,s6716,s4,s3602,s2309,s5596,s5262,s6357,s6407,s2299,s4367,s4898,s2251,s6369,s2209,s5735,s865,s5572,s2863,s2051,s2300,s861,s2913,s4430,s2050,s6159,s2305,s3056,s4908,s6659,s5600,s760,s6281,s6715,s479,s4962,s6287,s210,s6402,s6095,s2314,s1696,s5982,s6705,s6296,s540,s2,s6654,s6210,s2756,s6706,s6710,s1542,s6712,s510]) ).
cnf(s6719,plain,
( ~ spl0_56
| spl0_386
| ~ spl0_81
| spl0_38 ),
inference(rat,[],[s3335,s3479,s4992,s1856]) ).
cnf(s6720,plain,
( spl0_267
| spl0_38
| spl0_98
| spl0_1 ),
inference(rat,[],[s3495,s3379,s2064,s6085,s760,s6159,s5208,s6372,s6719,s5318,s107,s6287,s6369,s479,s2693,s3658,s1856,s6718,s5594,s6296,s540,s2,s6654,s6210,s480,s5226,s6578,s6706,s1696,s5982,s6705,s2756,s6710,s1542,s6712]) ).
cnf(s6721,plain,
( ~ spl0_253
| ~ spl0_267
| ~ spl0_16
| ~ spl0_234 ),
inference(rat,[],[s865,s4341]) ).
cnf(s6722,plain,
( spl0_38
| spl0_98
| spl0_1 ),
inference(rat,[],[s5208,s5318,s6287,s6372,s6369,s479,s6719,s2693,s3658,s2314,s5225,s4893,s6282,s4029,s2471,s5556,s6721,s6720,s1542,s6712,s6710,s934,s480,s917,s5226,s2781,s6578,s6706,s2756,s1696,s5982,s15,s6705,s6296,s540,s2,s6654,s6210]) ).
cnf(s6723,plain,
( spl0_16
| spl0_267
| spl0_98
| spl0_1 ),
inference(rat,[],[s479,s6284,s6261,s12,s6210,s6705,s6722]) ).
cnf(s6724,plain,
( spl0_62
| spl0_267
| spl0_98
| spl0_1 ),
inference(rat,[],[s4034,s2226,s6255,s6351,s2095,s917,s1197,s2781,s6603,s6600,s2245,s1696,s1507,s2759,s4400,s6159,s861,s3472,s5735,s2051,s2050,s10,s40,s6723,s2,s6654,s6210,s6722,s2766,s5982,s6705,s6296]) ).
cnf(s6725,plain,
( ~ spl0_64
| spl0_267
| spl0_98
| spl0_1 ),
inference(rat,[],[s6711,s6357,s6379,s2461,s2698,s6603,s1544,s540,s2759,s5735,s2051,s2050,s6296,s6372,s4856,s5169,s2314,s4442,s6159,s1696,s6724,s10,s40,s6723,s2,s6654,s6210,s6722,s2766,s5982,s6705]) ).
cnf(s6726,plain,
( spl0_267
| spl0_98
| spl0_1 ),
inference(rat,[],[s3495,s4453,s4034,s3254,s2226,s6287,s479,s3658,s1542,s6725,s1856,s2314,s6724,s5735,s2051,s861,s2050,s3472,s4442,s10,s6159,s40,s6723,s5594,s1696,s2,s6654,s6210,s5982,s6705,s6296,s2766,s6722]) ).
cnf(s6727,plain,
( spl0_98
| spl0_1 ),
inference(rat,[],[s479,s6287,s3658,s1542,s2698,s2052,s6351,s6402,s6561,s6372,s4856,s5169,s6556,s2338,s10,s2782,s40,s2758,s63,s5735,s4893,s2051,s4029,s5556,s6363,s6649,s6726,s4444,s6722,s540,s2766,s6296,s1696,s2,s6654,s6210,s1507,s5982,s6705]) ).
cnf(s6728,plain,
( spl0_60
| ~ spl0_56
| spl0_62
| spl0_14 ),
inference(rat,[],[s2095,s917,s5262,s6423,s6402]) ).
cnf(s6729,plain,
( spl0_244
| spl0_474
| ~ spl0_7
| spl0_502
| ~ spl0_262
| ~ spl0_45
| ~ spl0_9 ),
inference(rat,[],[s6376,s4497,s5244,s2815,s3233,s1695]) ).
cnf(s6730,plain,
( spl0_234
| ~ spl0_386
| spl0_62
| spl0_267
| spl0_38
| spl0_1 ),
inference(rat,[],[s5636,s6474,s1829,s2713,s6729,s4785,s6011,s523,s6159,s4,s4898,s3602,s861,s2309,s2388,s3252,s6357,s2718,s3307,s1666,s4977,s2384,s3709,s6282,s5568,s1724,s3580,s6727,s81,s5228,s510,s3261,s6417,s5318,s3551,s1696,s3661,s6369,s5299,s2361,s3172,s480,s5226,s5353,s3844,s6728,s6407,s2244,s6706,s1544,s2245,s2,s6654,s6210,s5982,s6705,s2756]) ).
cnf(s6731,plain,
( ~ spl0_386
| spl0_62
| spl0_267
| spl0_38
| spl0_1 ),
inference(rat,[],[s2240,s5568,s2309,s6282,s6357,s3254,s2376,s6329,s861,s5595,s2388,s6659,s2718,s776,s3538,s4456,s2785,s6730,s5353,s3844,s6728,s6369,s5299,s6407,s2244,s1696,s6727,s2756,s5228,s6706,s510,s6417,s2361,s5982,s6705,s3172,s1544,s2245,s2,s6654,s6210]) ).
cnf(s6732,plain,
( spl0_85
| spl0_62
| spl0_267
| spl0_38
| spl0_1 ),
inference(rat,[],[s5919,s3650,s5568,s939,s3383,s2240,s6547,s6351,s2369,s2051,s861,s2050,s3472,s2396,s10,s6159,s5299,s4403,s1545,s6379,s2756,s6706,s510,s2361,s5982,s6705,s3172,s1544,s2245,s2,s6654,s6210,s6731]) ).
cnf(s6733,plain,
( ~ spl0_12
| ~ spl0_285
| ~ spl0_7
| spl0_41
| spl0_62
| ~ spl0_260
| spl0_38
| spl0_1 ),
inference(rat,[],[s4624,s1825,s5568,s6048,s6057,s1696,s6727,s6706,s4,s2700,s2477,s5982,s6705,s2756]) ).
cnf(s6734,plain,
( ~ spl0_285
| ~ spl0_56
| spl0_62
| spl0_267
| spl0_38
| spl0_1 ),
inference(rat,[],[s4456,s776,s1724,s6659,s5568,s5595,s6593,s6329,s6733,s1696,s6727,s2756,s81,s6706,s510,s2203,s1856,s10,s4856,s5169,s6731,s6210,s5982,s6705]) ).
cnf(s6735,plain,
( ~ spl0_240
| ~ spl0_93
| ~ spl0_494
| ~ spl0_56
| ~ spl0_85
| ~ spl0_51
| ~ spl0_64
| ~ spl0_16
| ~ spl0_98 ),
inference(rat,[],[s3309,s3324,s6364,s1666,s4977]) ).
cnf(s6736,plain,
( ~ spl0_56
| spl0_62
| spl0_267
| spl0_38
| spl0_1 ),
inference(rat,[],[s4898,s6329,s861,s5595,s2305,s6659,s6281,s6735,s6282,s6734,s3661,s5318,s6728,s4992,s6705,s6727,s2756,s6706,s2245,s2,s6654,s6210,s1856,s6731,s6732]) ).
cnf(s6739,plain,
( ~ spl0_240
| spl0_53
| ~ spl0_12
| ~ spl0_166
| ~ spl0_51
| ~ spl0_16
| ~ spl0_98 ),
inference(rat,[],[s2863,s5640,s3717,s1825]) ).
cnf(s6740,plain,
( ~ spl0_12
| spl0_62
| spl0_267
| spl0_38
| spl0_1 ),
inference(rat,[],[s6365,s2237,s4430,s4456,s4908,s1692,s6739,s4,s3189,s2700,s4962,s6409,s2381,s1696,s5982,s6705,s6727,s2756,s6706,s2245,s2,s6654,s6210,s1856,s6731,s481,s6372,s6736,s6732]) ).
cnf(s6741,plain,
( spl0_62
| spl0_267
| spl0_38
| spl0_1 ),
inference(rat,[],[s3188,s5640,s6357,s5486,s6364,s4456,s1666,s3717,s776,s6659,s5595,s6329,s6740,s481,s6372,s6736,s6732,s1856,s6731,s2245,s1696,s2,s6654,s6210,s6705,s6727,s2756,s6706]) ).
cnf(s6742,plain,
( ~ spl0_240
| ~ spl0_386
| ~ spl0_12
| ~ spl0_62
| spl0_267
| ~ spl0_16
| spl0_1 ),
inference(rat,[],[s5489,s5330,s5635,s6407,s4889,s6379,s2244,s5637,s2721,s1544,s3635,s1542,s3477,s6287,s6364,s479,s2788,s3671,s3579,s1825,s6210,s6727,s510,s6095,s1696]) ).
cnf(s6743,plain,
( ~ spl0_64
| ~ spl0_399
| ~ spl0_386
| ~ spl0_12
| ~ spl0_62
| ~ spl0_16 ),
inference(rat,[],[s2020,s6407,s6379,s2244,s2721,s1544]) ).
cnf(s6744,plain,
( ~ spl0_386
| ~ spl0_12
| spl0_267
| spl0_38
| spl0_1 ),
inference(rat,[],[s4864,s3070,s6473,s6495,s884,s997,s2917,s2390,s2987,s6717,s3478,s2828,s1032,s3957,s1107,s2236,s6475,s6275,s6282,s2477,s2344,s4,s2021,s5262,s3602,s6407,s2309,s5596,s2251,s6357,s865,s4456,s4367,s4678,s3671,s6369,s479,s5572,s6287,s3085,s2913,s1542,s6743,s861,s3056,s2305,s6659,s6281,s6742,s210,s6402,s6095,s2314,s1696,s2,s6654,s6210,s6705,s6727,s2756,s6706,s510,s2300,s6741]) ).
cnf(s6745,plain,
( ~ spl0_240
| ~ spl0_12
| spl0_267
| spl0_38
| spl0_1 ),
inference(rat,[],[s3666,s2366,s3381,s5637,s1679,s3320,s3635,s5640,s3477,s6364,s2788,s3579,s1825,s1696,s6210,s6727,s81,s6706,s510,s6741,s1856,s6744]) ).
cnf(s6746,plain,
( ~ spl0_64
| ~ spl0_12
| spl0_267
| spl0_38
| spl0_1 ),
inference(rat,[],[s6597,s4456,s1540,s3580,s6372,s3709,s2020,s480,s6379,s5226,s2721,s57,s1696,s5982,s6705,s6727,s6706,s510,s6741,s6281,s6659,s6745,s2756]) ).
cnf(s6747,plain,
( ~ spl0_12
| spl0_267
| spl0_38
| spl0_1 ),
inference(rat,[],[s3538,s2788,s6287,s2372,s479,s2579,s3658,s1542,s6746,s5563,s6281,s6745,s1856,s6744,s6210,s6727,s2756,s6741]) ).
cnf(s6748,plain,
( spl0_267
| spl0_38
| spl0_1 ),
inference(rat,[],[s6438,s6142,s6038,s4456,s4455,s776,s1638,s6659,s6100,s5595,s6329,s6747,s6741,s1696,s15,s6705,s6727,s2756,s6706]) ).
cnf(s6749,plain,
( ~ spl0_386
| spl0_62
| spl0_38
| spl0_1 ),
inference(rat,[],[s5980,s6728,s2244,s3551,s1696,s6705,s6706,s3693,s6748,s6727,s1544,s2245,s2,s6654,s6210]) ).
cnf(s6750,plain,
( ~ spl0_56
| ~ spl0_240
| spl0_62
| spl0_38
| spl0_1 ),
inference(rat,[],[s3661,s6735,s4453,s4975,s6728,s4992,s6727,s5228,s5982,s6705,s6706,s2245,s2,s6654,s6210,s1856,s6749]) ).
cnf(s6751,plain,
( ~ spl0_213
| ~ spl0_224
| ~ spl0_19
| ~ spl0_297
| ~ spl0_355
| ~ spl0_65
| ~ spl0_240
| spl0_502
| ~ spl0_285
| spl0_45
| ~ spl0_9
| ~ spl0_28 ),
inference(rat,[],[s3228,s4868,s4041,s2987,s6496,s6280,s1141,s2054]) ).
cnf(s6752,plain,
( ~ spl0_216
| ~ spl0_391
| ~ spl0_538
| spl0_520
| spl0_262 ),
inference(rat,[],[s2081,s3900,s4147,s4360]) ).
cnf(s6753,plain,
( ~ spl0_224
| ~ spl0_273
| ~ spl0_215
| ~ spl0_259
| ~ spl0_19
| spl0_75
| ~ spl0_297
| ~ spl0_355
| ~ spl0_65
| ~ spl0_444
| spl0_234
| ~ spl0_240
| spl0_381
| spl0_38
| spl0_1 ),
inference(rat,[],[s5335,s6473,s3663,s2211,s4008,s5383,s1066,s2787,s6496,s1094,s1186,s1030,s5432,s3634,s4164,s4178,s6495,s6751,s2756,s3693,s6282,s3547,s6049,s6748,s6727,s1696,s5982,s6705,s1107,s4398,s2,s6654,s6210]) ).
cnf(s6754,plain,
( ~ spl0_213
| ~ spl0_11
| spl0_356
| ~ spl0_19
| ~ spl0_297
| ~ spl0_355
| ~ spl0_65
| ~ spl0_240
| ~ spl0_51
| ~ spl0_162
| spl0_497
| ~ spl0_267
| spl0_1 ),
inference(rat,[],[s4057,s4181,s748,s4868,s5222,s2987,s4165,s6496,s6280,s5687,s1141,s2054,s3693,s6282,s6049,s6727,s1696]) ).
cnf(s6755,plain,
( ~ spl0_308
| spl0_340
| ~ spl0_212
| ~ spl0_233
| ~ spl0_391
| ~ spl0_51
| ~ spl0_64
| ~ spl0_267 ),
inference(rat,[],[s3909,s4205,s5078,s6473,s3334,s5716,s4056,s5383,s5586]) ).
cnf(s6756,plain,
( ~ spl0_240
| ~ spl0_12
| spl0_62
| spl0_38
| spl0_1 ),
inference(rat,[],[s6496,s2787,s1094,s1066,s1189,s6755,s1030,s3634,s4178,s6495,s6754,s4,s2701,s1178,s5486,s6753,s6338,s3295,s2081,s1107,s4398,s6475,s6752,s5682,s939,s5598,s2442,s10,s4403,s5192,s1866,s481,s2381,s6409,s3750,s5374,s2471,s6363,s4341,s1540,s6372,s6750,s4786,s3579,s1825,s15,s6368,s2756,s81,s6706,s6282,s3660,s5982,s6705,s3742,s6417,s6049,s6748,s6727,s1696,s1544,s2245,s2,s6654,s6210,s1856,s6749]) ).
cnf(s6757,plain,
( ~ spl0_216
| ~ spl0_538
| spl0_97
| ~ spl0_70
| ~ spl0_39 ),
inference(rat,[],[s697,s2633,s4147]) ).
cnf(s6758,plain,
( spl0_65
| spl0_294
| spl0_62
| spl0_38
| spl0_1 ),
inference(rat,[],[s6376,s5636,s5439,s1829,s722,s1107,s1695,s4398,s6475,s6757,s3538,s915,s5247,s5107,s3324,s2470,s6357,s5682,s4341,s1638,s10,s2749,s6369,s4856,s2088,s6728,s5299,s6407,s28,s6706,s6282,s6049,s6748,s6727,s1696,s6417,s2245,s2,s6654,s6367,s2361,s5982,s6705,s3172,s1856,s5169,s6749,s6210]) ).
cnf(s6759,plain,
( spl0_240
| spl0_62
| spl0_38
| spl0_1 ),
inference(rat,[],[s933,s3696,s2471,s4341,s1540,s6758,s1676,s15,s6706,s6282,s6049,s6748,s6727,s1696,s2245,s2,s6654,s6210,s3660,s5982,s6705]) ).
cnf(s6760,plain,
( spl0_62
| spl0_38
| spl0_1 ),
inference(rat,[],[s1666,s6118,s1545,s6159,s6756,s6759,s2245,s1696,s2,s6654,s6210,s5982,s6705,s6727,s6706,s6748]) ).
cnf(s6761,plain,
( ~ spl0_64
| spl0_282
| spl0_38
| spl0_1 ),
inference(rat,[],[s5262,s6407,s6402,s2244,s6095,s5598,s2442,s2307,s5192,s6357,s1638,s5684,s4455,s1544,s5982,s6705,s2756,s6706,s4363,s6049,s6748,s6727,s1696,s6760]) ).
cnf(s6762,plain,
( ~ spl0_56
| spl0_64
| spl0_38
| spl0_1 ),
inference(rat,[],[s2344,s6033,s5262,s210,s6402,s6095,s6719,s6705,s6282,s6049,s6748,s6727,s1696,s6760,s1542]) ).
cnf(s6763,plain,
( ~ spl0_240
| spl0_38
| spl0_1 ),
inference(rat,[],[s6438,s5272,s3705,s6153,s2578,s1856,s5640,s6364,s4977,s1875,s6372,s6762,s2471,s6149,s1679,s3112,s6761,s4399,s4456,s776,s2,s6654,s6210,s15,s6705,s81,s6706,s6282,s6049,s6748,s6727,s1696,s6760]) ).
cnf(s6764,plain,
( ~ spl0_64
| spl0_38
| spl0_1 ),
inference(rat,[],[s6452,s6721,s5128,s4399,s6357,s1638,s6761,s5684,s4455,s1696,s6210,s6706,s4363,s6748,s6727,s6760,s2338,s6763,s1507,s6705]) ).
cnf(s6765,plain,
( ~ spl0_386
| spl0_453
| ~ spl0_471
| ~ spl0_62
| ~ spl0_267
| ~ spl0_28 ),
inference(rat,[],[s4223,s2349,s6402,s5686,s6095]) ).
cnf(s6766,plain,
( spl0_38
| spl0_1 ),
inference(rat,[],[s6721,s2471,s5640,s915,s6364,s6684,s6287,s479,s3658,s1856,s6765,s1679,s2579,s3112,s1542,s6764,s5564,s6281,s6763,s6760,s6282,s6049,s6748,s6706,s81,s2756,s1696,s6210,s15,s6705,s6727]) ).
cnf(s6767,plain,
( spl0_16
| spl0_267
| spl0_62
| spl0_1 ),
inference(rat,[],[s66,s11,s6259,s5678,s6263,s4011,s3961,s6371,s3454,s6372,s3661,s4767,s3253,s3188,s5486,s6357,s2237,s2039,s4456,s3198,s3671,s1545,s54,s479,s6159,s18,s6284,s32,s6228,s12,s1696,s6727,s2759,s6766,s3261,s2245,s2,s6654,s6210,s3660,s5982,s6705]) ).
cnf(s6768,plain,
( ~ spl0_240
| ~ spl0_253
| ~ spl0_511
| ~ spl0_12
| spl0_25
| ~ spl0_260
| spl0_43
| ~ spl0_98 ),
inference(rat,[],[s5568,s6282,s1724,s4889,s4572]) ).
cnf(s6769,plain,
( spl0_65
| spl0_240
| ~ spl0_60
| ~ spl0_253
| ~ spl0_12
| spl0_55
| ~ spl0_84
| spl0_62
| ~ spl0_18 ),
inference(rat,[],[s2226,s6282,s4034,s4520,s2863,s2361,s5474,s5299,s6407,s6281]) ).
cnf(s6770,plain,
( ~ spl0_261
| ~ spl0_242
| ~ spl0_405
| ~ spl0_51
| ~ spl0_260 ),
inference(rat,[],[s2614,s6376,s2784,s3530]) ).
cnf(s6772,plain,
( ~ spl0_308
| ~ spl0_212
| ~ spl0_225
| ~ spl0_234
| ~ spl0_280
| ~ spl0_259
| ~ spl0_51 ),
inference(rat,[],[s1721,s4525,s6496,s3081,s3049]) ).
cnf(s6773,plain,
( ~ spl0_212
| ~ spl0_237
| ~ spl0_270
| spl0_271
| ~ spl0_225
| ~ spl0_234
| ~ spl0_280
| ~ spl0_259
| ~ spl0_51
| ~ spl0_2 ),
inference(rat,[],[s5955,s5443,s5668,s1066,s6772]) ).
cnf(s6774,plain,
( spl0_236
| spl0_297
| ~ spl0_225
| ~ spl0_234
| ~ spl0_280
| spl0_497
| ~ spl0_285
| ~ spl0_405
| ~ spl0_259
| ~ spl0_51
| ~ spl0_60
| ~ spl0_45
| ~ spl0_260
| spl0_43
| ~ spl0_2 ),
inference(rat,[],[s5955,s5668,s2797,s3049,s3545,s6496,s4181,s1721,s4868,s2985,s5681,s2055,s6495,s6773,s444,s6475,s1722,s6770,s520,s2815,s910,s1107]) ).
cnf(s6775,plain,
( ~ spl0_236
| ~ spl0_225
| ~ spl0_280
| ~ spl0_51
| ~ spl0_462
| ~ spl0_65
| spl0_240
| spl0_1 ),
inference(rat,[],[s5508,s2933,s5906,s3995,s4476,s2784,s1722,s6373,s2236,s4045,s1507,s6705,s6766]) ).
cnf(s6776,plain,
( spl0_267
| spl0_62
| spl0_1 ),
inference(rat,[],[s3545,s4181,s2797,s4868,s6473,s2985,s5668,s1066,s3049,s6496,s1141,s6495,s6773,s444,s6475,s520,s911,s2815,s6774,s910,s1107,s3005,s6775,s4456,s3633,s5568,s5564,s3742,s6282,s3650,s4427,s939,s6547,s72,s2396,s2369,s2461,s2244,s1540,s6769,s3056,s6281,s6768,s6351,s2051,s861,s2050,s3472,s3655,s4442,s10,s6159,s1197,s1545,s6379,s6603,s6600,s6767,s510,s3456,s1696,s1507,s5982,s6705,s6727,s2759,s6766,s6417,s1544,s2245,s2,s6654,s6210]) ).
cnf(s6777,plain,
( spl0_234
| ~ spl0_11
| ~ spl0_34
| ~ spl0_285
| spl0_274 ),
inference(rat,[],[s861,s5658,s523,s3580]) ).
cnf(s6778,plain,
( ~ spl0_56
| spl0_62
| spl0_1 ),
inference(rat,[],[s2863,s3381,s3538,s6672,s2785,s6777,s11,s5678,s4011,s6371,s3320,s5116,s3551,s4767,s4839,s6728,s3737,s6282,s6049,s12,s54,s6603,s1545,s2245,s2759,s2,s6654,s6210,s6159,s4442,s3693,s6776,s6727,s6766,s5982,s6705,s1696]) ).
cnf(s6779,plain,
( ~ spl0_386
| ~ spl0_65
| spl0_16
| ~ spl0_285
| ~ spl0_267
| ~ spl0_209
| ~ spl0_38 ),
inference(rat,[],[s3739,s6357,s3994,s5487,s5708]) ).
cnf(s6780,plain,
( spl0_234
| spl0_62
| spl0_1 ),
inference(rat,[],[s4397,s6568,s5082,s3656,s6475,s6409,s6752,s3750,s5374,s5435,s5359,s2471,s6363,s6123,s6118,s523,s1692,s4786,s15,s6368,s3261,s3660,s3737,s4363,s3742,s6417,s6329,s2095,s2743,s64,s54,s1866,s6338,s2081,s6259,s66,s11,s5678,s4011,s6371,s6779,s6372,s6778,s6282,s6049,s6367,s479,s6284,s12,s6603,s3198,s1545,s6159,s4442,s3693,s6776,s6727,s1696,s5982,s6705,s2245,s2,s6654,s6210,s2759,s6766]) ).
cnf(s6781,plain,
( spl0_62
| spl0_1 ),
inference(rat,[],[s6263,s2237,s4456,s6780,s6259,s66,s11,s5678,s4011,s3961,s6371,s6779,s6372,s6778,s479,s6284,s12,s3198,s6603,s1545,s6159,s4442,s6282,s3693,s6049,s6776,s3660,s6367,s2245,s3261,s1696,s2,s6654,s6210,s5982,s6705,s6727,s2759,s6766]) ).
cnf(s6782,plain,
( ~ spl0_64
| spl0_267
| spl0_16
| spl0_1 ),
inference(rat,[],[s1695,s4217,s3027,s2084,s6543,s4831,s6373,s6338,s2236,s2081,s6259,s66,s11,s6357,s3734,s2039,s2237,s6550,s4455,s2759,s6781,s3678,s6228,s6159,s32,s6766,s2,s6654,s5982,s4456,s3671,s479,s6284,s12,s6705,s6210,s1696,s6727]) ).
cnf(s6783,plain,
( spl0_267
| spl0_16
| spl0_1 ),
inference(rat,[],[s6438,s6551,s2307,s933,s5514,s2064,s5262,s5442,s6552,s6407,s6541,s6402,s1875,s6095,s3454,s3658,s3112,s6782,s3671,s510,s15,s6727,s6781,s3678,s479,s6284,s12,s5595,s6329,s32,s6766,s1696,s2,s6654,s6210,s6705]) ).
cnf(s6784,plain,
( spl0_240
| spl0_262
| spl0_399
| ~ spl0_8 ),
inference(rat,[],[s5564,s4961,s6281]) ).
cnf(s6785,plain,
( ~ spl0_64
| spl0_16
| spl0_1 ),
inference(rat,[],[s2237,s4456,s915,s6149,s2470,s5684,s6781,s4363,s2471,s4054,s6784,s5595,s6329,s32,s2,s6654,s6210,s6766,s15,s6705,s6282,s6049,s6783,s6727,s1696]) ).
cnf(s6786,plain,
( spl0_16
| spl0_1 ),
inference(rat,[],[s2064,s5442,s915,s6149,s3658,s3112,s6785,s2471,s6143,s4054,s6784,s6282,s6049,s6783,s5595,s479,s6329,s6284,s32,s12,s1696,s2,s6654,s6210,s15,s6705,s6727,s6766,s6781]) ).
cnf(s6787,plain,
( spl0_234
| ~ spl0_64
| spl0_267
| spl0_1 ),
inference(rat,[],[s4964,s6407,s6402,s2244,s6095,s5598,s2438,s4858,s5101,s6357,s3666,s6282,s5568,s1724,s3580,s6368,s6705,s6210,s6786,s3456,s510,s1544,s2366,s57,s1696,s6781]) ).
cnf(s6788,plain,
( ~ spl0_64
| spl0_267
| spl0_1 ),
inference(rat,[],[s6612,s2782,s4456,s6787,s1696,s1507,s6705,s6727,s2759,s6781,s2758,s6786,s6766,s510]) ).
cnf(s6789,plain,
( spl0_234
| spl0_267
| spl0_1 ),
inference(rat,[],[s5640,s6364,s1856,s6684,s6095,s6287,s479,s3671,s1696,s6210,s6727,s6781,s1542,s1679,s6788,s3456]) ).
cnf(s6790,plain,
( ~ spl0_386
| spl0_267
| spl0_1 ),
inference(rat,[],[s6438,s2307,s6551,s5514,s5262,s933,s6369,s6329,s6407,s1644,s5572,s6402,s4442,s1875,s108,s6095,s2314,s3454,s1696,s2,s6654,s15,s6705,s6727,s6781,s2913,s3056,s6281,s2782,s6789,s2758,s6786,s6766,s510,s6210,s6788]) ).
cnf(s6791,plain,
( spl0_267
| spl0_1 ),
inference(rat,[],[s4430,s4914,s6364,s6684,s6287,s479,s4615,s3658,s1856,s6790,s1542,s6788,s6210,s6727,s6781]) ).
cnf(s6792,plain,
spl0_1,
inference(rat,[],[s3112,s6149,s6603,s2471,s2782,s6143,s4054,s6784,s5595,s6329,s4442,s6282,s3693,s6049,s6791,s2758,s6786,s6781,s2759,s6766,s6727,s15,s6705,s6210,s1696]) ).
cnf(s6793,plain,
( spl0_5
| ~ spl0_28
| ~ spl0_25
| spl0_98 ),
inference(rat,[],[s45,s22,s6159,s6189,s6155,s6154]) ).
cnf(s6797,plain,
( ~ spl0_9
| ~ spl0_253
| spl0_16
| ~ spl0_259
| spl0_386
| ~ spl0_467 ),
inference(rat,[],[s2299,s3555,s6017,s3078,s3682,s5602,s6792]) ).
cnf(s6798,plain,
( spl0_16
| ~ spl0_517
| ~ spl0_259
| spl0_280
| ~ spl0_64
| ~ spl0_60
| ~ spl0_413
| ~ spl0_467
| ~ spl0_260 ),
inference(rat,[],[s3705,s6372,s4529,s4614,s5982,s2299,s4893,s3905,s19,s2756,s6797,s861,s3376,s5353,s3844,s5593,s6792]) ).
cnf(s6799,plain,
( ~ spl0_56
| ~ spl0_9
| ~ spl0_16
| ~ spl0_517
| ~ spl0_259
| ~ spl0_64
| ~ spl0_467
| ~ spl0_79 ),
inference(rat,[],[s3078,s1666,s2022,s4614]) ).
cnf(s6800,plain,
( ~ spl0_65
| ~ spl0_16
| ~ spl0_162
| ~ spl0_60
| ~ spl0_413 ),
inference(rat,[],[s45,s4893,s4529,s2396,s2461,s3383,s5593,s6792]) ).
cnf(s6801,plain,
( ~ spl0_64
| spl0_98
| spl0_267
| spl0_62 ),
inference(rat,[],[s2759,s2756,s6603,s6799,s4614,s6407,s6800,s6798,s4914,s3379,s4430,s3495,s2240,s6364,s2229,s103,s3383,s3844,s1544,s6417,s4404,s510,s5593,s6351,s5735,s2051,s3491,s5594,s6296,s6792]) ).
cnf(s6802,plain,
( spl0_38
| spl0_10
| spl0_16
| spl0_64
| ~ spl0_262
| ~ spl0_60
| ~ spl0_413
| ~ spl0_467
| ~ spl0_260
| spl0_75 ),
inference(rat,[],[s3705,s861,s939,s4529,s3376,s5596,s5982,s2240,s4893,s3717,s5208,s2697,s6476,s4073,s5209,s2853,s4,s3078,s3840,s2756,s1542,s12,s5602,s6792]) ).
cnf(s6803,plain,
( ~ spl0_224
| spl0_16
| spl0_98
| spl0_267
| spl0_62 ),
inference(rat,[],[s2443,s4783,s5300,s6372,s5982,s6329,s5598,s4767,s6159,s31,s5353,s103,s6075,s4727,s6038,s6357,s3650,s2229,s4098,s5593,s1679,s6802,s3401,s3456,s6801,s5735,s6351,s2051,s3491,s5594,s6296,s510,s4404,s6792]) ).
cnf(s6804,plain,
( spl0_224
| spl0_64
| ~ spl0_262
| ~ spl0_60
| ~ spl0_25
| ~ spl0_467
| ~ spl0_260
| spl0_75 ),
inference(rat,[],[s3650,s2412,s939,s1856,s5596,s3495,s2240,s3486,s6792]) ).
cnf(s6805,plain,
( spl0_253
| ~ spl0_435
| ~ spl0_280
| ~ spl0_16
| ~ spl0_262
| ~ spl0_25
| ~ spl0_260
| spl0_62 ),
inference(rat,[],[s2714,s6329,s4624,s5300,s2304,s2443,s6363,s6792]) ).
cnf(s6806,plain,
( spl0_98
| spl0_267
| spl0_62 ),
inference(rat,[],[s4893,s5982,s2375,s4586,s6805,s5598,s5353,s4727,s3105,s5596,s6038,s6357,s3650,s6803,s2229,s6804,s6801,s5735,s6351,s5593,s2051,s3491,s5594,s6296,s4404,s510,s6792]) ).
cnf(s6807,plain,
( spl0_234
| ~ spl0_259
| ~ spl0_224
| spl0_60
| spl0_16
| spl0_267
| spl0_62 ),
inference(rat,[],[s4839,s6678,s4987,s1692,s4973,s6728,s11,s6407,s3734,s6018,s1549,s861,s3671,s6104,s6417,s6806,s12,s6402]) ).
cnf(s6808,plain,
( ~ spl0_259
| spl0_225
| ~ spl0_224
| spl0_60
| spl0_16
| ~ spl0_162
| spl0_267
| spl0_62 ),
inference(rat,[],[s6274,s6363,s2647,s6018,s6372,s4767,s3189,s6409,s960,s2209,s2228,s6807,s510]) ).
cnf(s6809,plain,
( ~ spl0_224
| spl0_60
| spl0_16
| ~ spl0_64
| spl0_267
| spl0_62 ),
inference(rat,[],[s3236,s3757,s6282,s861,s2063,s6104,s3580,s5982,s2209,s5696,s5056,s5598,s3746,s5592,s3159,s6357,s6808,s2237,s510,s6806,s1544,s5268,s6402,s6792]) ).
cnf(s6810,plain,
( ~ spl0_14
| ~ spl0_405
| ~ spl0_253
| ~ spl0_414
| spl0_60
| ~ spl0_98
| spl0_62 ),
inference(rat,[],[s6678,s4839,s5474,s4987,s1200,s4973,s2021,s6407,s4783,s6417,s6402]) ).
cnf(s6811,plain,
( ~ spl0_259
| ~ spl0_253
| ~ spl0_414
| spl0_60
| ~ spl0_64
| ~ spl0_98
| spl0_62 ),
inference(rat,[],[s2299,s1545,s3905,s10,s5228,s2050,s4971,s5982,s6810,s4427,s2051,s6351,s6792]) ).
cnf(s6812,plain,
( spl0_60
| spl0_16
| ~ spl0_64
| spl0_267
| spl0_62 ),
inference(rat,[],[s218,s5272,s4266,s6282,s6810,s3236,s5982,s5696,s3746,s6357,s6811,s3757,s861,s3376,s2240,s6364,s6809,s210,s4404,s510,s6806,s6792]) ).
cnf(s6813,plain,
( ~ spl0_14
| ~ spl0_259
| spl0_225
| ~ spl0_224
| spl0_27
| ~ spl0_60
| spl0_16
| spl0_267
| spl0_62 ),
inference(rat,[],[s1724,s5568,s960,s103,s4767,s3189,s2477,s6282,s6407,s3236,s6018,s3757,s861,s6274,s2786,s3456,s510,s3538,s6806]) ).
cnf(s6814,plain,
( ~ spl0_18
| ~ spl0_224
| spl0_27
| ~ spl0_60
| spl0_16
| ~ spl0_98
| spl0_267 ),
inference(rat,[],[s3661,s4977,s6017,s6659,s3682,s19,s5353,s5485,s3184,s5696,s3456,s6792]) ).
cnf(s6815,plain,
( ~ spl0_224
| spl0_16
| ~ spl0_64
| spl0_267
| spl0_62 ),
inference(rat,[],[s960,s4767,s3750,s3189,s5107,s2477,s6282,s6407,s3236,s2847,s3757,s861,s6357,s6274,s6813,s2786,s5982,s6814,s3538,s2237,s510,s6806,s3844,s6812]) ).
cnf(s6816,plain,
( ~ spl0_14
| spl0_402
| spl0_280
| spl0_27
| ~ spl0_60
| spl0_16
| ~ spl0_260
| spl0_62 ),
inference(rat,[],[s4767,s103,s3189,s5568,s2477,s6282,s6407,s3236,s2847,s861,s3376]) ).
cnf(s6817,plain,
( spl0_16
| ~ spl0_64
| spl0_267
| spl0_62 ),
inference(rat,[],[s5919,s3254,s2475,s4614,s6407,s5486,s4907,s2396,s103,s3383,s5485,s3184,s5696,s5982,s6816,s3757,s861,s3376,s4430,s2240,s6364,s6815,s3844,s6812,s4404,s3456,s510,s6806,s1544,s6792]) ).
cnf(s6818,plain,
( ~ spl0_253
| ~ spl0_14
| spl0_225
| ~ spl0_224
| spl0_60
| ~ spl0_16
| ~ spl0_162
| ~ spl0_98
| ~ spl0_260
| spl0_43
| ~ spl0_79 ),
inference(rat,[],[s4624,s2203,s1825,s960,s4839,s1724,s4987,s5568,s4973,s6282,s4120,s6407,s3236,s4586,s2369,s3757,s6402]) ).
cnf(s6819,plain,
( ~ spl0_12
| ~ spl0_285
| ~ spl0_355
| ~ spl0_14
| ~ spl0_16
| ~ spl0_98
| spl0_267 ),
inference(rat,[],[s19,s2370,s5568,s2305,s5563,s4624,s6281,s6678,s65,s2304,s510]) ).
cnf(s6820,plain,
( ~ spl0_285
| ~ spl0_355
| spl0_37
| ~ spl0_14
| ~ spl0_224
| ~ spl0_57
| ~ spl0_16
| ~ spl0_162
| ~ spl0_98
| spl0_267
| ~ spl0_79 ),
inference(rat,[],[s2228,s2647,s6372,s3580,s2384,s4973,s5658,s5470,s5419,s4883,s27,s5125,s14,s6819]) ).
cnf(s6821,plain,
( spl0_236
| ~ spl0_2
| spl0_280
| ~ spl0_262
| ~ spl0_98
| ~ spl0_260 ),
inference(rat,[],[s5244,s5246,s6376,s4502,s1107]) ).
cnf(s6822,plain,
( ~ spl0_219
| spl0_291
| ~ spl0_38
| spl0_496
| spl0_356
| ~ spl0_355 ),
inference(rat,[],[s5060,s5347,s4263,s3936,s4497,s5638]) ).
cnf(s6823,plain,
( ~ spl0_215
| spl0_272
| ~ spl0_220
| ~ spl0_236
| ~ spl0_212
| ~ spl0_259
| ~ spl0_224
| ~ spl0_64 ),
inference(rat,[],[s6472,s3330,s6012,s3295]) ).
cnf(s6824,plain,
( spl0_242
| ~ spl0_236
| spl0_234
| ~ spl0_212
| spl0_545
| ~ spl0_38
| spl0_356
| spl0_240
| spl0_371
| ~ spl0_355
| ~ spl0_259
| ~ spl0_224
| ~ spl0_16
| ~ spl0_64
| spl0_62 ),
inference(rat,[],[s697,s4981,s5906,s520,s5508,s5526,s6373,s6823,s909,s2210,s5441,s4048,s6376,s6822,s2281,s5426,s3261,s4404,s3945,s6281,s6792]) ).
cnf(s6825,plain,
( ~ spl0_56
| ~ spl0_14
| ~ spl0_259
| ~ spl0_224
| spl0_60
| ~ spl0_64
| spl0_267
| spl0_62 ),
inference(rat,[],[s5244,s5246,s6376,s5638,s2738,s6824,s6821,s960,s2048,s2660,s6495,s6379,s21,s6126,s6603,s2,s4400,s4444,s2758,s2759,s16,s2756,s2370,s2305,s5563,s4624,s2338,s6281,s6678,s2846,s4839,s4987,s4973,s2021,s23,s919,s1506,s2304,s6282,s6820,s6363,s6818,s2237,s510,s3456,s4717,s4427,s6402,s6817,s1544,s6806,s6417,s6792]) ).
cnf(s6826,plain,
( ~ spl0_84
| spl0_386
| ~ spl0_57
| spl0_62 ),
inference(rat,[],[s5270,s5565,s2393,s6792]) ).
cnf(s6827,plain,
( ~ spl0_14
| ~ spl0_259
| ~ spl0_224
| spl0_60
| ~ spl0_64
| spl0_267
| spl0_62 ),
inference(rat,[],[s6659,s2305,s2756,s6281,s2759,s1666,s6603,s6369,s6826,s2244,s6372,s6825,s6363,s6818,s6417,s3456,s510,s6806,s1544,s6817,s6402,s2237]) ).
cnf(s6828,plain,
( spl0_14
| spl0_413
| ~ spl0_16
| ~ spl0_64
| spl0_62 ),
inference(rat,[],[s6603,s2759,s1545,s5228,s10,s2050,s4971,s5982,s6792]) ).
cnf(s6829,plain,
( ~ spl0_224
| spl0_60
| ~ spl0_64
| spl0_267
| spl0_62 ),
inference(rat,[],[s2759,s5466,s6603,s3493,s5128,s2392,s1734,s3580,s2209,s5598,s2304,s3159,s6357,s6363,s6827,s6818,s2237,s6417,s3456,s510,s6806,s1544,s5268,s6402,s6828,s2051,s6351,s6817,s6792]) ).
cnf(s6830,plain,
( spl0_60
| ~ spl0_64
| spl0_267
| spl0_62 ),
inference(rat,[],[s6678,s4839,s4535,s4987,s1200,s4973,s2021,s6407,s2244,s1856,s4914,s4430,s6364,s6829,s6828,s2051,s5392,s6351,s6402,s6417,s6806,s1544,s6817]) ).
cnf(s6831,plain,
( ~ spl0_253
| ~ spl0_56
| ~ spl0_284
| ~ spl0_14
| spl0_225
| ~ spl0_224
| ~ spl0_16
| ~ spl0_98
| ~ spl0_260 ),
inference(rat,[],[s2203,s960,s3558,s3633,s18,s2856,s5564,s4120,s3236,s4586,s3757,s3056]) ).
cnf(s6832,plain,
( spl0_262
| ~ spl0_355
| spl0_240
| ~ spl0_14
| ~ spl0_16
| ~ spl0_98
| spl0_267 ),
inference(rat,[],[s5983,s6819,s6784,s6282,s2305,s6281]) ).
cnf(s6833,plain,
( ~ spl0_14
| ~ spl0_224
| ~ spl0_60
| ~ spl0_16
| ~ spl0_64
| ~ spl0_98
| spl0_267 ),
inference(rat,[],[s5128,s2338,s6357,s2440,s3650,s2229,s6832,s6603,s2759,s28,s2325,s2575,s6363,s6831,s6407,s6281,s2461,s2786,s4529,s510,s1544,s2237,s3538]) ).
cnf(s6834,plain,
( spl0_14
| ~ spl0_60
| ~ spl0_16
| ~ spl0_64
| spl0_62 ),
inference(rat,[],[s4975,s4453,s5228,s107,s6407,s29,s4587,s103,s6800,s4893,s5593,s6828,s5982,s1544,s3844,s6792]) ).
cnf(s6835,plain,
( spl0_85
| ~ spl0_8
| ~ spl0_56
| spl0_62 ),
inference(rat,[],[s4571,s5591,s5679,s6379]) ).
cnf(s6836,plain,
( ~ spl0_240
| ~ spl0_64
| spl0_267
| spl0_62 ),
inference(rat,[],[s5919,s3236,s5568,s3757,s103,s861,s6735,s5103,s4992,s223,s6357,s2759,s1659,s1666,s3661,s6603,s6835,s6329,s6678,s510,s3844,s6364,s2240,s6833,s6806,s4404,s6407,s209,s2461,s4529,s6834,s6830,s6817,s1544,s6792]) ).
cnf(s6837,plain,
( ~ spl0_64
| spl0_267
| spl0_62 ),
inference(rat,[],[s5568,s6282,s4120,s3236,s4586,s3757,s861,s2305,s6659,s2756,s2759,s6603,s6369,s5269,s6281,s6836,s1216,s2022,s6407,s2240,s2461,s6833,s4529,s6834,s6830,s6817,s1544,s6417,s4404,s510,s6806,s6792]) ).
cnf(s6838,plain,
( ~ spl0_224
| spl0_60
| ~ spl0_511
| spl0_16
| spl0_267
| spl0_62 ),
inference(rat,[],[s6018,s861,s6372,s6274,s4767,s4572,s960,s6807,s1679,s3577,s3184,s3456,s6806,s939,s3746,s510,s1,s2245,s6837,s6792]) ).
cnf(s6839,plain,
( spl0_60
| ~ spl0_14
| spl0_16
| spl0_267
| spl0_62 ),
inference(rat,[],[s861,s3376,s6810,s2240,s6364,s6838,s4427,s939,s3746,s4404,s510,s6806,s4106,s3184,s1,s2245,s6837,s3456,s6792]) ).
cnf(s6840,plain,
( ~ spl0_224
| ~ spl0_60
| ~ spl0_14
| spl0_16
| spl0_225
| spl0_64
| ~ spl0_98
| spl0_267 ),
inference(rat,[],[s3671,s2853,s960,s4073,s4767,s6476,s6407,s2847,s3757,s861,s6274,s2786,s3538,s510,s1542,s1679,s3456,s12]) ).
cnf(s6841,plain,
( ~ spl0_219
| ~ spl0_27
| spl0_280
| ~ spl0_3
| ~ spl0_260 ),
inference(rat,[],[s3810,s4502,s2580]) ).
cnf(s6842,plain,
( spl0_236
| spl0_520
| ~ spl0_88
| ~ spl0_234
| ~ spl0_249
| ~ spl0_11
| spl0_262
| spl0_225 ),
inference(rat,[],[s4360,s3900,s6373,s3218,s2214,s1032,s3957]) ).
cnf(s6843,plain,
( ~ spl0_14
| spl0_16
| spl0_267
| spl0_62 ),
inference(rat,[],[s1695,s4217,s5073,s6842,s719,s6376,s6841,s3,s4751,s6329,s4572,s2759,s4587,s2299,s9,s3671,s3840,s55,s1851,s2477,s2853,s11,s6282,s4073,s3409,s4767,s6816,s3236,s6476,s6407,s3757,s3705,s861,s939,s3376,s5596,s3477,s2240,s6364,s6840,s4529,s6839,s4106,s4404,s510,s1542,s1679,s3577,s4120,s3184,s1,s2245,s6837,s3456,s6806,s12,s6792]) ).
cnf(s6844,plain,
( ~ spl0_224
| spl0_60
| spl0_16
| spl0_267
| spl0_62 ),
inference(rat,[],[s6274,s6363,s6123,s6018,s6806,s939,s3746,s510,s1,s2245,s6837,s6372,s6728,s2095,s917,s6423,s10,s2050,s2051,s6351,s5982,s6843,s6792]) ).
cnf(s6845,plain,
( ~ spl0_212
| ~ spl0_270
| ~ spl0_215
| spl0_271
| ~ spl0_94
| ~ spl0_11
| ~ spl0_220
| ~ spl0_38
| ~ spl0_12
| ~ spl0_25
| ~ spl0_98 ),
inference(rat,[],[s5668,s6473,s4886,s3925,s1163]) ).
cnf(s6846,plain,
( spl0_60
| spl0_16
| spl0_267
| spl0_62 ),
inference(rat,[],[s1077,s3552,s3911,s4886,s6008,s2028,s6495,s6845,s520,s2214,s6475,s5528,s6338,s2210,s910,s3218,s3019,s4888,s1695,s1845,s523,s109,s11,s3968,s3734,s3059,s1549,s6281,s3906,s3555,s3742,s6282,s2299,s4062,s6376,s861,s4914,s6841,s3376,s4430,s2240,s6364,s6844,s31,s21,s874,s481,s10,s5228,s6155,s50,s6418,s2050,s4971,s2,s2095,s6372,s939,s5079,s2051,s23,s917,s5392,s6728,s3746,s4560,s6351,s919,s6423,s6402,s3261,s6417,s4404,s510,s3577,s3184,s3456,s6806,s12,s5485,s5982,s6843,s1,s2245,s6837,s6792]) ).
cnf(s6847,plain,
( spl0_85
| ~ spl0_285
| ~ spl0_224
| ~ spl0_18
| ~ spl0_21
| spl0_225
| spl0_64
| ~ spl0_79 ),
inference(rat,[],[s2209,s3658,s4405,s479,s6415,s6285,s1542]) ).
cnf(s6848,plain,
( ~ spl0_85
| spl0_63
| spl0_166
| spl0_16
| spl0_53 ),
inference(rat,[],[s4767,s1856,s6407,s5442,s481]) ).
cnf(s6849,plain,
( ~ spl0_224
| spl0_85
| ~ spl0_60
| ~ spl0_18
| spl0_16
| spl0_225
| spl0_64
| ~ spl0_98
| spl0_267
| ~ spl0_79 ),
inference(rat,[],[s4727,s6282,s6847,s6814,s3671,s479,s6285,s1542,s12]) ).
cnf(s6850,plain,
( spl0_16
| spl0_267
| spl0_62 ),
inference(rat,[],[s2805,s2384,s2759,s5532,s6849,s3671,s2756,s479,s5291,s6285,s6379,s6848,s4587,s2381,s6846,s5485,s5982,s6843,s1216,s3401,s5602,s12,s6417,s1542,s1679,s3577,s3184,s1,s2245,s6837,s3456,s6806,s6792]) ).
cnf(s6851,plain,
( ~ spl0_240
| ~ spl0_224
| ~ spl0_57
| ~ spl0_14
| spl0_267
| spl0_62 ),
inference(rat,[],[s2251,s6826,s6372,s6379,s6835,s4693,s6329,s4977,s6678,s6806,s6850,s2496,s3184,s1,s2245,s6837,s3456,s6792]) ).
cnf(s6852,plain,
( ~ spl0_220
| spl0_234
| spl0_271
| spl0_272
| spl0_474
| ~ spl0_244
| ~ spl0_7
| ~ spl0_212
| ~ spl0_85
| ~ spl0_38
| ~ spl0_262
| spl0_240
| ~ spl0_224
| ~ spl0_259
| spl0_41
| ~ spl0_16 ),
inference(rat,[],[s2298,s6338,s1120,s6012,s6475,s6132,s3616,s4217,s722,s5244,s2759]) ).
cnf(s6853,plain,
( ~ spl0_219
| ~ spl0_38
| spl0_496
| spl0_356
| ~ spl0_355
| ~ spl0_260 ),
inference(rat,[],[s6822,s3215]) ).
cnf(s6854,plain,
( ~ spl0_268
| ~ spl0_227
| ~ spl0_244
| ~ spl0_85 ),
inference(rat,[],[s3218,s5077]) ).
cnf(s6856,plain,
( ~ spl0_210
| ~ spl0_495
| spl0_360
| ~ spl0_552
| spl0_240
| spl0_70
| ~ spl0_16 ),
inference(rat,[],[s4334,s1040,s1030,s4151,s4491]) ).
cnf(s6857,plain,
( ~ spl0_224
| spl0_60
| ~ spl0_14
| spl0_267
| spl0_62 ),
inference(rat,[],[s5953,s5408,s3235,s1030,s728,s2262,s6496,s6856,s3214,s4981,s5906,s5508,s2636,s2368,s4616,s6373,s4056,s3925,s6473,s4226,s6279,s3616,s3087,s4217,s2374,s1068,s722,s6852,s5244,s6376,s6853,s909,s2210,s1635,s2793,s1186,s481,s6127,s5432,s6372,s3,s5512,s4164,s4989,s4570,s6495,s4883,s6541,s5514,s6126,s5125,s6329,s2758,s2759,s16,s28,s6659,s2325,s2305,s2575,s4663,s6832,s4624,s2338,s6281,s6851,s3261,s4404,s1542,s3577,s2496,s1506,s4714,s2304,s6363,s4586,s4120,s3184,s3456,s6806,s6850,s6402,s917,s6423,s939,s3746,s510,s1,s2,s23,s919,s2245,s6837,s6792]) ).
cnf(s6858,plain,
( spl0_60
| ~ spl0_14
| spl0_267
| spl0_62 ),
inference(rat,[],[s5980,s72,s5478,s4914,s5635,s4430,s6364,s6857,s5392,s6402,s2496,s4586,s4120,s3184,s1,s2245,s6837,s3456,s6806,s6850,s6792]) ).
cnf(s6859,plain,
( ~ spl0_224
| ~ spl0_60
| ~ spl0_355
| ~ spl0_14
| ~ spl0_16
| spl0_64
| ~ spl0_98
| spl0_267 ),
inference(rat,[],[s3650,s939,s2229,s5596,s6832,s4624,s2786,s3538,s2304,s510]) ).
cnf(s6860,plain,
( ~ spl0_240
| ~ spl0_259
| ~ spl0_414
| ~ spl0_60
| ~ spl0_355
| ~ spl0_14
| ~ spl0_25
| spl0_53
| ~ spl0_98
| spl0_267 ),
inference(rat,[],[s3650,s6282,s2412,s5658,s1856,s4883,s5640,s3580,s5125,s4572,s6678,s4106]) ).
cnf(s6861,plain,
( ~ spl0_14
| spl0_267
| spl0_62 ),
inference(rat,[],[s4907,s4615,s72,s6372,s4535,s6860,s939,s5596,s4430,s2240,s6364,s6859,s6858,s2316,s2304,s6363,s4586,s2496,s4404,s510,s1679,s4120,s3184,s1,s2245,s6837,s3456,s6806,s6850,s6792]) ).
cnf(s6862,plain,
( spl0_267
| spl0_62 ),
inference(rat,[],[s861,s2305,s2375,s6281,s6282,s1825,s2477,s6017,s6032,s2702,s107,s4,s5353,s4587,s6031,s6351,s2051,s4971,s5228,s19,s29,s65,s5485,s5982,s6861,s6850,s3184,s1,s2245,s6837,s6806,s510,s3456,s6792]) ).
cnf(s6864,plain,
( ~ spl0_262
| ~ spl0_253
| ~ spl0_240
| ~ spl0_224
| spl0_60
| ~ spl0_14
| ~ spl0_79 ),
inference(rat,[],[s4987,s4839,s4973,s6407,s4783,s4889,s4098,s6402]) ).
cnf(s6867,plain,
( ~ spl0_285
| spl0_98
| spl0_62 ),
inference(rat,[],[s2245,s6672,s5597,s1,s939,s2475,s6161,s6862,s6296,s5343,s6792]) ).
cnf(s6868,plain,
( ~ spl0_259
| ~ spl0_64
| ~ spl0_466
| ~ spl0_224
| ~ spl0_21
| spl0_62 ),
inference(rat,[],[s4011,s6371,s3887,s6007,s6672,s6862]) ).
cnf(s6869,plain,
( spl0_85
| ~ spl0_3
| ~ spl0_386
| ~ spl0_292
| ~ spl0_355
| ~ spl0_240
| spl0_98
| spl0_60
| ~ spl0_267 ),
inference(rat,[],[s5980,s3994,s2021,s2756,s5345,s2435,s5128,s6379,s6402]) ).
cnf(s6870,plain,
( ~ spl0_219
| spl0_256
| ~ spl0_12
| spl0_356
| ~ spl0_85
| ~ spl0_25
| ~ spl0_114
| spl0_294
| ~ spl0_292
| ~ spl0_355
| ~ spl0_240
| ~ spl0_224
| spl0_98
| ~ spl0_14 ),
inference(rat,[],[s5934,s4836,s4209,s6373,s4183,s5052,s6343,s1034,s3478,s2793,s5636,s5638]) ).
cnf(s6871,plain,
( ~ spl0_236
| ~ spl0_220
| spl0_256
| ~ spl0_27
| ~ spl0_25
| ~ spl0_114
| spl0_98
| ~ spl0_267 ),
inference(rat,[],[s3922,s6475,s6343,s1001,s3928,s6279,s5439,s3810]) ).
cnf(s6872,plain,
( ~ spl0_64
| ~ spl0_240
| spl0_98
| spl0_60
| ~ spl0_14
| ~ spl0_21
| spl0_62 ),
inference(rat,[],[s5934,s4836,s4209,s6373,s4183,s3922,s6343,s1032,s2650,s6871,s6376,s6870,s6010,s6319,s5345,s4,s4964,s2021,s2756,s6407,s4065,s481,s956,s6869,s5524,s2856,s4011,s5101,s3669,s3887,s5597,s1190,s2209,s5598,s3159,s6357,s6868,s2237,s4404,s6862,s5268,s23,s919,s3717,s5556,s2701,s6363,s6864,s6282,s6867,s3256,s6296,s6402,s2095,s917,s6423,s6417,s5343,s6792]) ).
cnf(s6873,plain,
( ~ spl0_240
| spl0_98
| spl0_60
| ~ spl0_14
| ~ spl0_21
| spl0_62 ),
inference(rat,[],[s4078,s3895,s2756,s5248,s4065,s481,s956,s6869,s6357,s6007,s6371,s4011,s3887,s2573,s2856,s2,s1,s2245,s6872,s5556,s6363,s6864,s3717,s6417,s6862,s23,s919,s3256,s6296,s6402,s2095,s917,s6423,s6282,s6867,s6792]) ).
cnf(s6874,plain,
( ~ spl0_234
| spl0_98
| spl0_60
| spl0_62 ),
inference(rat,[],[s5598,s3159,s6357,s2209,s6672,s2237,s2245,s2,s2856,s2573,s6862,s5268,s23,s919,s3256,s6296,s6402,s2095,s917,s6423,s6282,s6867,s6792]) ).
cnf(s6875,plain,
( spl0_98
| spl0_60
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s5128,s956,s6357,s4065,s6007,s6371,s4011,s3887,s5556,s6363,s4783,s6372,s3028,s3409,s3734,s11,s1692,s6874,s2338,s6873,s4098,s6282,s6867,s3256,s6296,s6862,s2965,s12,s6402,s3711,s2095,s917,s6423,s6792]) ).
cnf(s6876,plain,
( ~ spl0_240
| ~ spl0_224
| spl0_60
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s2754,s3994,s3682,s6372,s6826,s6541,s6835,s6379,s4693,s6329,s4977,s6678,s6862,s6402,s6875]) ).
cnf(s6877,plain,
( spl0_234
| ~ spl0_285
| spl0_240
| ~ spl0_224
| spl0_60
| spl0_16
| spl0_62 ),
inference(rat,[],[s5107,s3750,s6357,s6409,s6018,s4065,s6372,s4034,s3028,s3409,s5685,s3734,s11,s1692,s6862,s12,s3711,s6792]) ).
cnf(s6878,plain,
( ~ spl0_259
| ~ spl0_253
| ~ spl0_224
| spl0_60
| spl0_16
| spl0_62 ),
inference(rat,[],[s3189,s4767,s6407,s6409,s1856,s6018,s6007,s6862]) ).
cnf(s6879,plain,
( spl0_259
| ~ spl0_234
| ~ spl0_285
| spl0_240
| ~ spl0_224
| ~ spl0_98
| spl0_458
| spl0_16
| spl0_62 ),
inference(rat,[],[s3577,s2856,s2209,s6367,s5598,s3739,s3159,s6357]) ).
cnf(s6880,plain,
( ~ spl0_216
| spl0_305
| spl0_236
| ~ spl0_295
| ~ spl0_11
| spl0_240 ),
inference(rat,[],[s4280,s770,s520,s5906,s699,s5508,s2756,s5476]) ).
cnf(s6881,plain,
( ~ spl0_285
| ~ spl0_224
| spl0_60
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s1199,s5681,s5687,s6495,s6012,s6338,s2298,s2679,s6475,s6880,s2210,s2281,s5439,s5441,s1845,s719,s4048,s6376,s6019,s6319,s2856,s2475,s933,s11,s5374,s6369,s2,s1,s3696,s5685,s6363,s6826,s2245,s6878,s6007,s6672,s6879,s6877,s3261,s6862,s12,s5268,s6402,s23,s919,s6875,s4148,s2338,s6876,s2965,s6792]) ).
cnf(s6882,plain,
( ~ spl0_253
| ~ spl0_262
| ~ spl0_98
| ~ spl0_14 ),
inference(rat,[],[s3236,s3757]) ).
cnf(s6883,plain,
( ~ spl0_219
| ~ spl0_507
| ~ spl0_38
| spl0_496
| ~ spl0_355
| spl0_356 ),
inference(rat,[],[s4263,s5060,s520,s5347,s3528,s3936,s5638]) ).
cnf(s6885,plain,
( ~ spl0_216
| spl0_271
| ~ spl0_85
| spl0_88
| spl0_523
| ~ spl0_64
| spl0_234
| spl0_253
| spl0_240
| spl0_384 ),
inference(rat,[],[s5508,s2933,s5906,s4183,s5077,s4210,s520,s4193,s5526,s5520]) ).
cnf(s6886,plain,
( ~ spl0_259
| ~ spl0_25
| ~ spl0_65
| ~ spl0_38
| spl0_234
| spl0_253
| spl0_240
| ~ spl0_224
| ~ spl0_57
| spl0_16
| spl0_62 ),
inference(rat,[],[s3959,s3911,s5716,s5683,s3903,s3904,s5460,s1890,s3939,s5687,s6495,s6823,s3957,s3922,s6475,s6885,s909,s2210,s5441,s481,s6369,s3905,s4001,s6826,s3029,s1856,s6007,s3261,s4404,s6862,s5677,s4336,s5517,s1549,s3734,s4048,s6376,s6883,s3408,s11,s1692,s12,s4663,s6281,s6363,s2338,s2965,s6792]) ).
cnf(s6887,plain,
( spl0_234
| spl0_253
| spl0_10
| spl0_28
| spl0_240
| ~ spl0_224
| spl0_60
| spl0_16
| spl0_62 ),
inference(rat,[],[s4065,s956,s5598,s5128,s3159,s6357,s6886,s4365,s6372,s1549,s3409,s3734,s2756,s11,s5525,s1692,s6862,s12,s3711,s5268,s6402,s6281,s2338,s2965,s6363,s6792]) ).
cnf(s6888,plain,
( ~ spl0_224
| spl0_60
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s5598,s3159,s6357,s2209,s6672,s2237,s2245,s2,s2856,s2573,s6887,s6882,s3401,s3498,s6049,s6282,s6881,s6876,s5268,s6402,s23,s919,s3693,s6875,s6862,s6792]) ).
cnf(s6889,plain,
( ~ spl0_253
| ~ spl0_414
| ~ spl0_98
| spl0_60
| ~ spl0_14
| spl0_62 ),
inference(rat,[],[s5272,s218,s6357,s6282,s4266,s4427,s6882,s6810,s210]) ).
cnf(s6890,plain,
( ~ spl0_240
| ~ spl0_234
| spl0_37
| ~ spl0_98
| ~ spl0_14
| spl0_16 ),
inference(rat,[],[s43,s2756,s2856,s4692,s4106,s4572,s27,s14,s6678]) ).
cnf(s6891,plain,
( spl0_262
| ~ spl0_284
| ~ spl0_65
| ~ spl0_234
| spl0_224
| spl0_60
| spl0_16
| spl0_62 ),
inference(rat,[],[s5486,s1856,s2475,s6779,s2756,s1,s6497,s2579,s2245,s1542,s6672,s939,s2373,s4223,s5564,s6282,s6862,s6402,s6792]) ).
cnf(s6892,plain,
( ~ spl0_219
| ~ spl0_292
| ~ spl0_166
| spl0_356
| ~ spl0_355
| spl0_294 ),
inference(rat,[],[s1635,s5636,s5638]) ).
cnf(s6893,plain,
( spl0_60
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s1107,s5439,s5244,s719,s5246,s6376,s6892,s6357,s6672,s5216,s2,s6367,s2853,s2856,s4365,s2573,s6049,s6891,s481,s6369,s5269,s2338,s6281,s6890,s6372,s5478,s3679,s5635,s6363,s4714,s6889,s3307,s6364,s6888,s6875,s23,s5392,s3711,s919,s6402,s3261,s6862,s2965,s12,s1216,s5602,s6792]) ).
cnf(s6894,plain,
( ~ spl0_253
| ~ spl0_240
| ~ spl0_5
| ~ spl0_262
| spl0_16
| ~ spl0_267 ),
inference(rat,[],[s479,s6283,s3840,s4889,s4054,s12]) ).
cnf(s6895,plain,
( ~ spl0_240
| spl0_356
| spl0_53
| ~ spl0_224
| ~ spl0_262
| ~ spl0_60
| spl0_16
| ~ spl0_267 ),
inference(rat,[],[s3454,s4365,s3840,s1856,s479,s4767,s6283,s6407,s2226,s481,s956,s3661,s5128,s6363,s6894,s3717,s12,s2856,s5229,s4096,s6357,s3650,s2229]) ).
cnf(s6896,plain,
( ~ spl0_253
| spl0_53
| ~ spl0_224
| ~ spl0_262
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s3454,s4365,s3840,s1856,s3661,s479,s4767,s6835,s6283,s6329,s6407,s2226,s4783,s4034,s12,s4098,s2856,s5229,s4096,s6862,s6893]) ).
cnf(s6897,plain,
( ~ spl0_224
| spl0_98
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s4570,s5518,s5514,s6329,s2226,s956,s5128,s6363,s6896,s6281,s6895,s5345,s3188,s3678,s6357,s2856,s3650,s5229,s2229,s4096,s6862,s6893,s5343,s6282,s6867,s6792]) ).
cnf(s6898,plain,
( ~ spl0_240
| ~ spl0_253
| spl0_64
| ~ spl0_25
| ~ spl0_80
| spl0_294
| ~ spl0_262
| spl0_98
| spl0_16
| ~ spl0_267 ),
inference(rat,[],[s5713,s3295,s3922,s9,s6475,s3,s1001,s1695,s1068,s3928,s5439,s6376,s5358,s6279,s3810,s1032,s5633,s6164,s6357,s44,s481,s874,s2791,s6476,s523,s6285,s4073,s4,s479,s2853,s3401,s6329,s3840,s81,s2756,s4889,s4054,s12,s2573,s5524,s1542]) ).
cnf(s6899,plain,
( ~ spl0_253
| spl0_64
| ~ spl0_25
| ~ spl0_80
| spl0_294
| spl0_224
| ~ spl0_262
| spl0_98
| spl0_83
| spl0_16
| ~ spl0_267 ),
inference(rat,[],[s4350,s4077,s3029,s3028,s3734,s6369,s11,s5269,s1692,s6281,s6898,s12,s2573]) ).
cnf(s6900,plain,
( spl0_98
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s6438,s5633,s3650,s5359,s2412,s6329,s6371,s6561,s4011,s6372,s3887,s3090,s5556,s6363,s6899,s1178,s5521,s3486,s3844,s5524,s2573,s5593,s3489,s5576,s3307,s6897,s6282,s6867,s6296,s3261,s6417,s6862,s12,s1216,s5602,s6893,s6792]) ).
cnf(s6901,plain,
( ~ spl0_259
| spl0_431
| ~ spl0_56
| ~ spl0_253
| ~ spl0_284
| ~ spl0_224
| spl0_43
| spl0_16
| ~ spl0_267 ),
inference(rat,[],[s2754,s5252,s3905,s6672,s2299,s1679,s6369,s4767,s5565,s1856,s6007,s3401]) ).
cnf(s6902,plain,
( spl0_234
| spl0_6
| spl0_502
| ~ spl0_292
| ~ spl0_275
| ~ spl0_253
| ~ spl0_444
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s4290,s2390,s5068,s6204,s5663,s1649,s4082,s6495,s6199,s3928,s6475,s6376,s909,s2210,s4217,s699,s6338,s6196,s5712,s3957,s520,s4210,s4263,s4184,s6120,s3,s5514,s6329,s3198,s3188,s31,s3383,s6369,s4767,s3844,s1544,s5565,s1856,s3029,s1549,s4065,s4077,s2759,s3734,s2756,s11,s3750,s5252,s1692,s1190,s3261,s4404,s12,s3401,s3497,s3693,s6862,s3742,s6417,s6407,s2847,s3757,s6893,s5270,s4520,s6281,s5107,s2856,s6367,s3739,s2786,s6282,s6882,s6900,s6792]) ).
cnf(s6903,plain,
( ~ spl0_212
| ~ spl0_215
| ~ spl0_220
| spl0_271
| ~ spl0_270
| ~ spl0_234
| ~ spl0_267 ),
inference(rat,[],[s5955,s5668,s3925,s2858]) ).
cnf(s6904,plain,
( ~ spl0_253
| ~ spl0_224
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s4181,s4868,s2646,s2262,s6496,s1141,s6495,s6903,s6475,s6376,s909,s699,s6196,s5712,s520,s4263,s6120,s3,s4077,s6329,s2756,s19,s3383,s2228,s5476,s3844,s1544,s3188,s3189,s3481,s4767,s960,s6902,s3577,s2856,s5111,s6367,s4571,s5248,s5107,s3739,s3252,s2470,s6357,s6901,s5270,s4520,s6407,s3742,s6282,s2847,s6882,s4034,s3757,s6417,s4404,s12,s3497,s3693,s6862,s6281,s2786,s3538,s6893,s6900,s6792]) ).
cnf(s6905,plain,
( spl0_234
| spl0_253
| spl0_240
| ~ spl0_518
| spl0_45
| ~ spl0_60
| spl0_16 ),
inference(rat,[],[s5229,s4365,s6282,s1549,s4442,s5685,s3734,s5677,s2756,s11,s4336,s5252,s1692,s12,s3401,s3497,s5517,s6281,s6792]) ).
cnf(s6906,plain,
( ~ spl0_259
| ~ spl0_224
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s5983,s2381,s6784,s2697,s2573,s11,s6372,s3184,s3734,s4767,s1,s3029,s1679,s2245,s6672,s1856,s6007,s12,s3497,s2305,s6363,s6281,s6905,s6904,s2786,s3538,s4096,s3693,s6900,s6862,s6893,s6792]) ).
cnf(s6907,plain,
( ~ spl0_224
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s479,s6283,s4365,s2856,s5229,s6784,s6329,s5208,s5248,s5318,s3896,s5128,s5230,s6357,s6906,s2785,s6905,s2305,s6363,s6904,s2338,s6281,s2786,s3538,s4096,s2965,s12,s6893,s3693,s6900,s6862]) ).
cnf(s6908,plain,
( ~ spl0_240
| ~ spl0_253
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s874,s5523,s523,s4626,s4572,s6222,s4106,s2856,s5123,s4,s43,s4927,s6835,s2756,s4839,s6329,s4054,s6678,s3401,s3497,s3693,s6862,s6282,s6882,s6407,s2847,s3757,s6900,s6893]) ).
cnf(s6909,plain,
( spl0_234
| spl0_240
| ~ spl0_56
| ~ spl0_253
| spl0_224
| spl0_10
| spl0_16
| ~ spl0_267 ),
inference(rat,[],[s6438,s3188,s2299,s4767,s5486,s3905,s1856,s3658,s4350,s1549,s4077,s3734,s2756,s11,s5252,s1692,s12,s6281,s1197,s5474,s6364,s2965]) ).
cnf(s6910,plain,
( spl0_64
| ~ spl0_85
| spl0_65
| ~ spl0_253
| spl0_43
| spl0_16
| ~ spl0_267 ),
inference(rat,[],[s4077,s3840,s4350,s2853,s1856,s4073,s4767,s6476,s1679,s1542,s12,s6407]) ).
cnf(s6911,plain,
( ~ spl0_253
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s915,s5107,s2470,s6357,s6672,s6910,s6909,s1197,s5474,s6908,s6407,s6282,s2847,s6882,s3757,s2965,s3401,s3497,s3693,s6900,s6862,s6893,s6364,s6907]) ).
cnf(s6912,plain,
( ~ spl0_219
| spl0_356
| ~ spl0_81
| ~ spl0_9
| ~ spl0_85
| ~ spl0_29
| spl0_262
| ~ spl0_259
| ~ spl0_8
| spl0_234
| ~ spl0_240
| ~ spl0_355
| spl0_224 ),
inference(rat,[],[s3641,s6124,s5472,s5342,s4294,s5638]) ).
cnf(s6913,plain,
( ~ spl0_216
| spl0_470
| ~ spl0_27
| ~ spl0_29
| ~ spl0_538 ),
inference(rat,[],[s3810,s4318,s4147]) ).
cnf(s6914,plain,
( ~ spl0_218
| spl0_271
| ~ spl0_270
| ~ spl0_3
| ~ spl0_27 ),
inference(rat,[],[s3052,s5668,s4220]) ).
cnf(s6915,plain,
( ~ spl0_217
| ~ spl0_6
| ~ spl0_236
| ~ spl0_215
| ~ spl0_220
| ~ spl0_402
| ~ spl0_107
| ~ spl0_285
| ~ spl0_240
| ~ spl0_98
| ~ spl0_14 ),
inference(rat,[],[s1141,s5681,s6496,s5621,s5222,s5462,s4691,s6495,s3824,s3925]) ).
cnf(s6916,plain,
( spl0_244
| ~ spl0_270
| ~ spl0_215
| ~ spl0_273
| ~ spl0_220
| ~ spl0_166
| ~ spl0_402
| ~ spl0_107
| ~ spl0_3
| spl0_381
| ~ spl0_27
| ~ spl0_11
| ~ spl0_285
| ~ spl0_240
| ~ spl0_477
| ~ spl0_98
| ~ spl0_14 ),
inference(rat,[],[s1891,s3052,s5335,s4220,s6473,s6915,s3,s1695,s5073,s2211,s1032,s6329,s6678]) ).
cnf(s6917,plain,
( ~ spl0_56
| spl0_262
| ~ spl0_259
| ~ spl0_240
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s5621,s5681,s3913,s1141,s4527,s6495,s6496,s6265,s6109,s5906,s2280,s2210,s3641,s1635,s6916,s520,s3922,s6475,s6913,s6338,s2298,s5434,s6376,s6912,s481,s2847,s6476,s4073,s185,s1178,s1,s2853,s4086,s4990,s4615,s5521,s2245,s1542,s3840,s2756,s3844,s4065,s5353,s5116,s49,s6835,s4839,s5478,s3261,s6893,s4363,s6862,s5635,s6364,s6907,s6329,s5435,s5374,s6319,s5658,s3580,s6890,s4714,s11,s5685,s12,s1200,s3696,s6282,s21,s6222,s2856,s4808,s5420,s5125,s6678,s6363,s6911,s6900,s6792]) ).
cnf(s6918,plain,
( ~ spl0_9
| spl0_85
| spl0_386
| spl0_16 ),
inference(rat,[],[s6017,s3682]) ).
cnf(s6919,plain,
( ~ spl0_219
| ~ spl0_38
| ~ spl0_6
| ~ spl0_17
| ~ spl0_51
| ~ spl0_238
| spl0_497
| ~ spl0_285
| spl0_542 ),
inference(rat,[],[s5060,s5382,s6196]) ).
cnf(s6920,plain,
( ~ spl0_213
| spl0_297
| ~ spl0_6
| ~ spl0_402
| ~ spl0_285 ),
inference(rat,[],[s5621,s5681,s5462]) ).
cnf(s6921,plain,
( spl0_85
| spl0_386
| ~ spl0_51
| ~ spl0_238
| ~ spl0_391
| ~ spl0_64
| ~ spl0_402
| spl0_497
| ~ spl0_285
| ~ spl0_240
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s5398,s1032,s1107,s2081,s6338,s6199,s6495,s6920,s909,s2210,s5712,s3922,s6376,s6919,s2756,s6918,s915,s5591,s5679,s6379,s3261,s4404,s5649,s6862,s6329,s11,s5685,s3189,s5640,s6364,s1,s2475,s5486,s6907,s6475,s6565,s4001,s6890,s4714,s5374,s6319,s6678,s6900,s12,s6363,s6911,s6792]) ).
cnf(s6922,plain,
( ~ spl0_212
| ~ spl0_233
| spl0_264
| ~ spl0_232
| spl0_532
| spl0_346
| ~ spl0_85
| ~ spl0_215
| ~ spl0_51
| ~ spl0_64
| ~ spl0_11
| ~ spl0_259
| ~ spl0_240
| ~ spl0_267 ),
inference(rat,[],[s5953,s3018,s977,s3949,s6755,s3004,s3921,s5436,s5682]) ).
cnf(s6923,plain,
( ~ spl0_219
| spl0_346
| spl0_325
| ~ spl0_9
| ~ spl0_85
| ~ spl0_215
| ~ spl0_2
| ~ spl0_17
| ~ spl0_51
| ~ spl0_238
| spl0_27
| ~ spl0_64
| ~ spl0_402
| ~ spl0_29
| ~ spl0_25
| ~ spl0_11
| spl0_371
| spl0_497
| spl0_262
| ~ spl0_259
| ~ spl0_8
| ~ spl0_240
| ~ spl0_414
| ~ spl0_267 ),
inference(rat,[],[s3663,s4864,s6473,s4226,s1705,s5621,s5462,s6495,s6922,s3,s3295,s2930,s767,s770,s2822,s3641,s6279,s5472,s5214,s4294,s6196,s4295,s6282,s4589]) ).
cnf(s6925,plain,
( spl0_236
| ~ spl0_220
| ~ spl0_2
| ~ spl0_11
| ~ spl0_240
| ~ spl0_14 ),
inference(rat,[],[s5398,s1032,s1107]) ).
cnf(s6926,plain,
( ~ spl0_9
| ~ spl0_85
| ~ spl0_2
| ~ spl0_51
| ~ spl0_238
| spl0_27
| ~ spl0_64
| ~ spl0_402
| ~ spl0_29
| ~ spl0_25
| spl0_262
| ~ spl0_259
| spl0_234
| ~ spl0_240
| spl0_253
| ~ spl0_414
| ~ spl0_98
| ~ spl0_14
| ~ spl0_21
| spl0_62 ),
inference(rat,[],[s6204,s5073,s5439,s6925,s1705,s5467,s4305,s6495,s6199,s909,s2210,s6338,s5712,s2298,s3922,s5434,s6376,s6923,s2296,s4691,s3258,s5222,s6496,s4527,s6110,s4086,s3261,s4404,s4363,s6329,s3555,s3742,s6417,s3696,s11,s5685,s3189,s5640,s6475,s6565,s4001,s5374,s6282,s6319,s6678,s6363,s5682,s6862,s6792]) ).
cnf(s6927,plain,
( ~ spl0_219
| ~ spl0_38
| ~ spl0_215
| ~ spl0_17
| ~ spl0_51
| ~ spl0_238
| spl0_27
| ~ spl0_25
| ~ spl0_11
| spl0_497
| ~ spl0_285
| ~ spl0_8
| spl0_542
| ~ spl0_267 ),
inference(rat,[],[s4217,s5064,s3928,s3229,s1120,s5906,s2331,s2679,s3,s5060,s5214,s3892,s6919,s6196,s2759]) ).
cnf(s6928,plain,
( ~ spl0_64
| spl0_262
| ~ spl0_259
| ~ spl0_240
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s4691,s2296,s5222,s6204,s6496,s1066,s1141,s5621,s6920,s5462,s3,s6495,s64,s6199,s5082,s909,s2210,s6338,s5073,s5439,s5712,s2298,s6925,s3922,s5434,s6376,s6927,s2756,s6926,s6921,s6475,s1,s3189,s6565,s2475,s5640,s4001,s5486,s5353,s103,s3383,s5682,s3844,s1544,s3261,s4404,s4363,s6364,s6907,s5649,s6862,s6890,s4714,s6329,s3742,s6417,s3696,s5374,s6319,s11,s5685,s6282,s12,s21,s6222,s2856,s4808,s5420,s5125,s6678,s6363,s6911,s6900,s2847,s6372,s6917,s6893,s6792]) ).
cnf(s6929,plain,
( spl0_236
| ~ spl0_273
| ~ spl0_215
| ~ spl0_220
| ~ spl0_9
| ~ spl0_166
| spl0_381
| ~ spl0_402
| ~ spl0_29
| ~ spl0_11
| spl0_262
| ~ spl0_275
| ~ spl0_240
| ~ spl0_98
| ~ spl0_14
| spl0_445 ),
inference(rat,[],[s5621,s5681,s5467,s1141,s4305,s6496,s6495,s6109,s6265,s2280,s2210,s5906,s1635,s770,s1032,s6329,s6678,s6282,s4589]) ).
cnf(s6930,plain,
( ~ spl0_218
| spl0_256
| spl0_264
| ~ spl0_9
| ~ spl0_402
| ~ spl0_29
| ~ spl0_8 ),
inference(rat,[],[s5621,s5467,s4226,s4222,s6279]) ).
cnf(s6931,plain,
( spl0_262
| ~ spl0_259
| ~ spl0_240
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s3831,s6496,s5716,s2290,s5222,s3903,s1890,s4691,s5467,s5687,s4305,s6495,s3925,s6473,s6930,s1068,s5073,s3810,s6929,s6338,s2298,s5434,s6475,s6376,s6913,s6912,s4990,s2756,s4065,s103,s1856,s5640,s1178,s2697,s1851,s1679,s5521,s1542,s6928,s2847,s6372,s6917,s21,s6222,s2856,s11,s4808,s5374,s5685,s2743,s5420,s6282,s3261,s4363,s3497,s3693,s6862,s6893,s6364,s6907,s6890,s4714,s6329,s6319,s12,s5125,s6678,s6900,s6363,s6911,s5435,s3555,s6792]) ).
cnf(s6932,plain,
( ~ spl0_25
| ~ spl0_238
| ~ spl0_262
| spl0_234
| ~ spl0_414
| spl0_43
| ~ spl0_60
| ~ spl0_267 ),
inference(rat,[],[s5640,s1679,s1856,s3844,s2412,s5524]) ).
cnf(s6933,plain,
( ~ spl0_259
| ~ spl0_240
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s479,s6283,s4365,s2856,s6932,s3650,s6049,s6931,s12,s3497,s3693,s6862,s6893,s6364,s6907,s6678,s6890,s4714,s6911,s6900]) ).
cnf(s6934,plain,
( ~ spl0_221
| spl0_547
| spl0_88
| spl0_293
| ~ spl0_27
| spl0_526
| ~ spl0_11
| ~ spl0_29
| ~ spl0_85
| ~ spl0_240
| spl0_253
| ~ spl0_98
| spl0_75 ),
inference(rat,[],[s3913,s4527,s3903,s6496,s5716,s5222,s5409,s748,s2225,s3052,s4284]) ).
cnf(s6935,plain,
( ~ spl0_216
| ~ spl0_27
| spl0_526
| ~ spl0_11
| ~ spl0_220
| ~ spl0_9
| ~ spl0_166
| ~ spl0_29
| ~ spl0_85
| spl0_496
| ~ spl0_8
| ~ spl0_240
| spl0_253
| spl0_224
| ~ spl0_98
| spl0_62 ),
inference(rat,[],[s5460,s3939,s6495,s5436,s3235,s5433,s6477,s6934,s5472,s6854,s3218,s6338,s5528,s2210,s1635,s1032,s3810,s4318,s3261,s4404,s6363,s4990,s4046,s6792]) ).
cnf(s6936,plain,
( ~ spl0_213
| ~ spl0_166
| spl0_356
| ~ spl0_292
| ~ spl0_355
| spl0_294 ),
inference(rat,[],[s1890,s4082,s5687]) ).
cnf(s6937,plain,
( ~ spl0_240
| ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s3810,s910,s6930,s6914,s6473,s3925,s6495,s6936,s520,s3922,s6475,s6935,s1,s1068,s2245,s44,s3844,s925,s5524,s2856,s5244,s5246,s4086,s4,s43,s6376,s2756,s6892,s3994,s2847,s5442,s481,s21,s5248,s6282,s5128,s3551,s5111,s5674,s1178,s5598,s5103,s5527,s5369,s3276,s6357,s6933,s2443,s27,s5300,s5125,s14,s6329,s6890,s6678,s12,s3401,s3497,s3693,s6900,s6862,s6893,s6364,s3307,s6907,s3261,s4714,s6363,s6911,s6792]) ).
cnf(s6938,plain,
( spl0_262
| spl0_556
| spl0_240
| spl0_253
| ~ spl0_414
| ~ spl0_60
| spl0_62 ),
inference(rat,[],[s5980,s4535,s5208,s1200,s6329,s3696,s6784,s6282,s2305,s6281,s6363]) ).
cnf(s6939,plain,
( ~ spl0_25
| ~ spl0_262
| ~ spl0_85
| ~ spl0_448
| spl0_43
| ~ spl0_60
| spl0_16
| ~ spl0_267 ),
inference(rat,[],[s6848,s4587,s2381,s1679,s5677,s3844,s4336,s5524,s2573,s12,s6792]) ).
cnf(s6940,plain,
( ~ spl0_14
| spl0_16
| spl0_62 ),
inference(rat,[],[s5980,s5208,s4535,s6283,s1200,s479,s3678,s4365,s2856,s6049,s6939,s6938,s5318,s6369,s5517,s5269,s6281,s6937,s6911,s6364,s6907,s3497,s3693,s6900,s6893,s6862,s12,s1216,s5602,s6792]) ).
cnf(s6941,plain,
( ~ spl0_240
| ~ spl0_166
| ~ spl0_38
| spl0_59
| spl0_185
| ~ spl0_57
| ~ spl0_12
| ~ spl0_3
| ~ spl0_21
| ~ spl0_267 ),
inference(rat,[],[s3184,s3577,s3496,s2805,s3693,s3679,s4738,s5635,s6364,s4054,s3717,s2759]) ).
cnf(s6942,plain,
( ~ spl0_253
| spl0_60
| spl0_16
| spl0_62 ),
inference(rat,[],[s6879,s6877,s6878,s5486,s1856,s2475,s4350,s6282,s4077,s4062,s5268,s1545,s3184,s3496,s3693,s760,s6941,s1866,s6372,s6728,s5228,s4971,s2095,s917,s6423,s3711,s6402,s12,s10,s2050,s2051,s6351,s6862,s5485,s5696,s5982,s6940,s6792]) ).
cnf(s6943,plain,
( ~ spl0_285
| spl0_253
| spl0_240
| ~ spl0_23 ),
inference(rat,[],[s933,s2471,s3696]) ).
cnf(s6944,plain,
( spl0_60
| spl0_16
| spl0_62 ),
inference(rat,[],[s2863,s5635,s6887,s3679,s2573,s6282,s6943,s6942,s3184,s3401,s4442,s3496,s3693,s760,s6941,s1866,s10,s5228,s2050,s4971,s2095,s6372,s2051,s917,s6728,s3711,s6351,s6423,s6402,s6862,s12,s15,s5485,s5696,s5982,s6940,s6792]) ).
cnf(s6945,plain,
( ~ spl0_224
| ~ spl0_234
| spl0_225
| ~ spl0_98
| ~ spl0_9
| ~ spl0_240
| ~ spl0_60
| spl0_16 ),
inference(rat,[],[s6918,s3661,s2209,s4977]) ).
cnf(s6946,plain,
( ~ spl0_253
| ~ spl0_25
| ~ spl0_240
| spl0_16
| spl0_62 ),
inference(rat,[],[s3844,s55,s103,s5486,s6945,s4405,s4,s3577,s2391,s3401,s2475,s6867,s3514,s81,s2756,s6282,s4054,s4889,s6862,s12,s4587,s5485,s5696,s5982,s6940,s6944,s6792]) ).
cnf(s6947,plain,
( ~ spl0_224
| ~ spl0_11
| ~ spl0_98
| ~ spl0_285
| ~ spl0_25
| ~ spl0_240
| ~ spl0_60
| ~ spl0_18
| spl0_16
| ~ spl0_79 ),
inference(rat,[],[s6945,s19,s4405,s3844,s6415,s1516,s3661,s4977,s12,s5485,s5696,s3577,s6792]) ).
cnf(s6948,plain,
( ~ spl0_285
| ~ spl0_25
| ~ spl0_240
| spl0_16
| spl0_62 ),
inference(rat,[],[s3844,s55,s103,s5486,s6947,s11,s2475,s5685,s6867,s6417,s12,s4587,s5485,s5696,s5982,s6940,s6944,s6946,s6792]) ).
cnf(s6949,plain,
( ~ spl0_25
| ~ spl0_240
| spl0_16
| spl0_62 ),
inference(rat,[],[s5248,s5108,s5103,s6357,s6364,s5435,s4096,s5208,s2226,s5229,s5209,s6282,s6948,s6363,s6946,s6862,s5485,s5696,s5982,s6940,s6944,s6792]) ).
cnf(s6950,plain,
( ~ spl0_240
| spl0_16
| spl0_62 ),
inference(rat,[],[s5556,s4029,s6296,s3693,s4054,s3497,s81,s3184,s5593,s6949,s6862,s5696,s5982,s6940,s6944,s6792]) ).
cnf(s6951,plain,
( ~ spl0_285
| ~ spl0_25
| spl0_16
| spl0_62 ),
inference(rat,[],[s5532,s6847,s6379,s6848,s1679,s3844,s19,s3497,s5476,s3577,s3693,s2475,s6867,s6417,s6862,s12,s1216,s5602,s2381,s6281,s6950,s4587,s5485,s5696,s5982,s6940,s6944,s6792]) ).
cnf(s6952,plain,
( ~ spl0_25
| spl0_16
| spl0_62 ),
inference(rat,[],[s3029,s5442,s3734,s6369,s11,s5532,s4096,s3844,s1692,s5229,s5524,s2573,s6282,s6951,s4587,s6862,s12,s1216,s5602,s5485,s5696,s5982,s6940,s6944,s6281,s6950,s6792]) ).
cnf(s6953,plain,
( spl0_16
| spl0_62 ),
inference(rat,[],[s760,s3693,s10,s3497,s2050,s3184,s5593,s6952,s6950,s6944,s5696,s5982,s6940,s6862,s6792]) ).
cnf(s6954,plain,
( ~ spl0_253
| ~ spl0_518
| ~ spl0_477
| spl0_60
| spl0_62 ),
inference(rat,[],[s5980,s6728,s4063,s4586,s6953]) ).
cnf(s6955,plain,
( ~ spl0_14
| ~ spl0_355
| spl0_93
| spl0_262
| ~ spl0_25
| ~ spl0_240
| ~ spl0_57
| spl0_62 ),
inference(rat,[],[s72,s6372,s2048,s6835,s2716,s6379,s6329,s21,s4693,s2496,s6678,s22,s6953,s6867,s6282]) ).
cnf(s6956,plain,
( ~ spl0_224
| spl0_262
| ~ spl0_25
| ~ spl0_240
| spl0_60
| spl0_62 ),
inference(rat,[],[s10,s6123,s2050,s5982,s6955,s6363,s6954,s4977,s4096,s6402,s2051,s6351,s2095,s917,s6423,s4363,s6867,s6282,s6862]) ).
cnf(s6957,plain,
( ~ spl0_253
| ~ spl0_477
| ~ spl0_240
| spl0_413
| spl0_62 ),
inference(rat,[],[s5228,s4971,s5982,s4054,s4586,s6862,s6953,s6792]) ).
cnf(s6958,plain,
( ~ spl0_14
| spl0_262
| ~ spl0_25
| ~ spl0_240
| spl0_60
| spl0_62 ),
inference(rat,[],[s3189,s6409,s5640,s2251,s72,s4572,s2496,s4106,s6953,s6372,s5478,s5635,s6957,s4363,s6867,s6282,s6862,s2051,s6351,s6364,s5392,s6402,s6956]) ).
cnf(s6959,plain,
( spl0_14
| ~ spl0_25
| spl0_413
| spl0_62 ),
inference(rat,[],[s5485,s29,s1,s5228,s2245,s4971,s6828,s5982,s6953,s6792]) ).
cnf(s6960,plain,
( spl0_85
| ~ spl0_8
| spl0_70
| ~ spl0_57
| spl0_62 ),
inference(rat,[],[s2251,s6372,s6826,s6835,s6379,s6953]) ).
cnf(s6961,plain,
( ~ spl0_56
| spl0_12
| spl0_60
| ~ spl0_79 ),
inference(rat,[],[s4987,s4973,s4839,s6402]) ).
cnf(s6962,plain,
( ~ spl0_25
| ~ spl0_240
| spl0_60
| spl0_62 ),
inference(rat,[],[s5640,s6364,s3189,s3717,s6409,s481,s2251,s72,s6372,s6961,s6960,s6329,s2573,s2714,s6958,s2496,s6959,s6417,s6862,s6953,s6402,s2051,s6351]) ).
cnf(s6963,plain,
( ~ spl0_98
| ~ spl0_240
| spl0_60
| spl0_62 ),
inference(rat,[],[s6438,s1666,s5598,s6960,s2244,s1540,s2443,s6372,s5300,s6961,s6329,s6957,s6678,s4363,s6417,s6862,s6402,s1544,s6828,s2245,s2,s2856,s6962,s23,s919,s6953,s2051,s6351,s6792]) ).
cnf(s6964,plain,
( ~ spl0_240
| spl0_60
| spl0_62 ),
inference(rat,[],[s540,s6874,s6963,s2,s2856,s6962,s23,s919,s6792]) ).
cnf(s6965,plain,
( spl0_262
| spl0_253
| ~ spl0_25
| spl0_240
| spl0_62 ),
inference(rat,[],[s6672,s2245,s5525,s1,s2701,s2475,s5476,s939,s19,s5107,s65,s933,s6329,s3696,s6784,s6282,s6862,s6953,s2305,s6363,s6281,s6792]) ).
cnf(s6966,plain,
( ~ spl0_9
| spl0_234
| ~ spl0_355
| spl0_240 ),
inference(rat,[],[s2701,s5252,s5476,s6281]) ).
cnf(s6967,plain,
( ~ spl0_219
| ~ spl0_38
| spl0_545
| spl0_356
| spl0_496
| ~ spl0_355
| ~ spl0_14
| ~ spl0_25
| ~ spl0_16 ),
inference(rat,[],[s4264,s4983,s5426,s5347,s6822,s3936,s6792]) ).
cnf(s6969,plain,
( ~ spl0_310
| spl0_323
| ~ spl0_220
| spl0_293
| ~ spl0_259
| ~ spl0_244
| ~ spl0_85 ),
inference(rat,[],[s5409,s6477,s5716,s3235,s3004]) ).
cnf(s6970,plain,
( ~ spl0_212
| ~ spl0_304
| ~ spl0_232
| ~ spl0_305
| ~ spl0_220
| ~ spl0_38
| ~ spl0_224
| spl0_293
| ~ spl0_259
| ~ spl0_244
| spl0_17
| ~ spl0_98
| ~ spl0_7
| ~ spl0_85
| spl0_234
| ~ spl0_262
| spl0_445 ),
inference(rat,[],[s5953,s952,s4168,s6473,s4182,s5469,s1030,s1094,s6496,s728,s6969,s2290,s3073,s5432,s5512,s4164]) ).
cnf(s6971,plain,
( ~ spl0_216
| ~ spl0_25
| spl0_60
| spl0_62 ),
inference(rat,[],[s5955,s4168,s3011,s6477,s3292,s2295,s5687,s6495,s6970,s109,s101,s5906,s1644,s4981,s2281,s520,s6132,s5526,s3261,s50,s2095,s917,s6423,s939,s5598,s2443,s5300,s48,s909,s1635,s481,s6960,s6402,s4404,s2863,s5640,s3189,s6409,s2251,s72,s6372,s6961,s6417,s5244,s6376,s6967,s2756,s6966,s2573,s5359,s4663,s2793,s6127,s3,s2338,s1506,s4714,s5518,s4570,s5514,s6363,s6281,s6329,s65,s5524,s6965,s4341,s2496,s6953,s6862,s6964,s6959,s2051,s6351,s6792]) ).
cnf(s6972,plain,
( ~ spl0_25
| spl0_60
| spl0_62 ),
inference(rat,[],[s3903,s3003,s5716,s3959,s4181,s4868,s4334,s5460,s1890,s3939,s5687,s6495,s6012,s6338,s2298,s1120,s6475,s6971,s5244,s6376,s6967,s2756,s6966,s2863,s2210,s5640,s1635,s2793,s939,s3189,s6127,s5598,s6409,s5518,s3,s2251,s72,s481,s4570,s2443,s6372,s6960,s5514,s5359,s5300,s6961,s6329,s65,s5524,s2573,s6965,s2338,s1506,s4663,s6363,s4714,s4341,s2496,s6959,s3261,s6417,s6862,s6953,s6402,s2051,s6351,s6281,s6964,s6792]) ).
cnf(s6973,plain,
( ~ spl0_285
| spl0_60
| spl0_62 ),
inference(rat,[],[s6007,s6826,s5532,s1217,s6379,s1638,s5682,s939,s5107,s933,s2305,s3696,s6363,s4586,s4363,s6867,s6862,s6402,s6281,s6964,s6828,s2245,s2,s2856,s6972,s23,s919,s6953,s2051,s6351,s6792]) ).
cnf(s6974,plain,
( spl0_98
| spl0_60
| spl0_62 ),
inference(rat,[],[s540,s6874,s2,s2856,s6972,s23,s919,s6792]) ).
cnf(s6975,plain,
( spl0_85
| spl0_60
| spl0_62 ),
inference(rat,[],[s6007,s939,s6826,s5532,s5128,s1217,s6379,s6862,s6402,s2305,s6363,s6281,s2338,s1506,s4714,s6882,s6974,s6282,s6973,s6828,s2245,s2,s2856,s6972,s23,s919,s6953,s2051,s6351,s6964,s6792]) ).
cnf(s6976,plain,
( spl0_60
| spl0_62 ),
inference(rat,[],[s5248,s2244,s3896,s5598,s5230,s3159,s6357,s5682,s1638,s6975,s6363,s6882,s6974,s6282,s6973,s6828,s1544,s2245,s2,s2856,s6972,s6281,s6964,s2051,s23,s5268,s6351,s919,s6402,s6862,s6953,s6792]) ).
cnf(s6977,plain,
( ~ spl0_65
| ~ spl0_414
| spl0_234
| spl0_462
| spl0_70
| spl0_43
| ~ spl0_16 ),
inference(rat,[],[s1679,s1544,s5640,s2461,s72]) ).
cnf(s6978,plain,
( spl0_244
| spl0_319
| ~ spl0_220
| ~ spl0_11
| spl0_470
| ~ spl0_27
| ~ spl0_56
| ~ spl0_8
| spl0_224
| ~ spl0_29
| ~ spl0_240
| spl0_62 ),
inference(rat,[],[s6496,s3258,s3831,s977,s2225,s3762,s6477,s6475,s3018,s4318,s3949,s5439,s3810,s4995,s1032,s4404,s6862,s5716,s6792]) ).
cnf(s6979,plain,
( ~ spl0_212
| ~ spl0_220
| ~ spl0_11
| spl0_470
| ~ spl0_27
| ~ spl0_56
| ~ spl0_259
| spl0_371
| ~ spl0_8
| spl0_224
| ~ spl0_29
| ~ spl0_14
| ~ spl0_240
| spl0_62 ),
inference(rat,[],[s763,s3641,s6265,s6124,s2210,s2281,s3048,s5398,s6978,s3004,s5436,s3261,s5435,s6338,s2298,s5434,s6835]) ).
cnf(s6981,plain,
( ~ spl0_219
| ~ spl0_9
| spl0_545
| ~ spl0_8
| ~ spl0_14
| spl0_262
| ~ spl0_25
| ~ spl0_16 ),
inference(rat,[],[s5426,s4497,s4264,s4981,s4983,s5472,s4294,s2496,s21,s22,s6792]) ).
cnf(s6982,plain,
( ~ spl0_14
| spl0_262
| ~ spl0_25
| ~ spl0_240
| spl0_62 ),
inference(rat,[],[s6124,s6109,s2210,s2281,s6496,s3048,s5398,s2836,s6978,s1030,s3903,s4334,s5467,s4305,s6495,s6979,s6376,s6981,s2475,s4,s4990,s1,s2756,s2245,s4065,s5353,s1666,s5116,s6835,s4839,s3602,s6407,s6977,s3555,s5435,s5527,s5658,s5674,s5125,s5359,s3580,s6364,s3696,s6363,s6329,s4572,s3538,s21,s4586,s6678,s4529,s2496,s4106,s2786,s22,s3261,s4404,s6953,s4363,s3497,s3693,s6867,s6282,s6862,s6976,s6792]) ).
cnf(s6983,plain,
( spl0_262
| ~ spl0_25
| ~ spl0_240
| spl0_62 ),
inference(rat,[],[s6032,s4,s19,s1825,s65,s1521,s4893,s6834,s6959,s5982,s6982,s6867,s6282,s6953,s6976]) ).
cnf(s6984,plain,
( ~ spl0_43
| ~ spl0_14
| ~ spl0_60 ),
inference(rat,[],[s2765,s3497,s81]) ).
cnf(s6985,plain,
( ~ spl0_25
| ~ spl0_240
| spl0_62 ),
inference(rat,[],[s5111,s5248,s5103,s6357,s3650,s6977,s6932,s6984,s6363,s4341,s4529,s2496,s5982,s5485,s1,s6364,s2245,s4096,s3844,s5229,s5524,s2573,s2714,s6983,s6862,s6953,s6976,s6792]) ).
cnf(s6986,plain,
( ~ spl0_285
| ~ spl0_14
| ~ spl0_240
| spl0_62 ),
inference(rat,[],[s5527,s1666,s5674,s5125,s6835,s6363,s6364,s6329,s4586,s3538,s6678,s4363,s6867,s6862,s2786,s6407,s2461,s1544,s2245,s1,s3184,s6984,s6985,s6953,s4529,s6976,s6792]) ).
cnf(s6987,plain,
( spl0_98
| ~ spl0_14
| ~ spl0_240
| spl0_62 ),
inference(rat,[],[s5289,s5565,s2020,s2756,s6379,s2758,s107,s2209,s2782,s2064,s5576,s540,s6296,s6417,s776,s3489,s5593,s6407,s2461,s1544,s2245,s1,s3184,s6984,s6985,s6953,s4529,s6976,s6792]) ).
cnf(s6988,plain,
( ~ spl0_14
| ~ spl0_240
| spl0_62 ),
inference(rat,[],[s5103,s223,s6357,s1659,s1666,s6835,s6364,s6329,s6363,s3538,s6678,s6882,s6987,s6282,s6986,s209,s6407,s2461,s1544,s2245,s1,s3184,s6984,s4529,s2786,s6953,s6976,s6985,s6792]) ).
cnf(s6989,plain,
( ~ spl0_240
| spl0_62 ),
inference(rat,[],[s3454,s3658,s4365,s3661,s2853,s1545,s5228,s5216,s10,s2050,s4971,s6834,s5982,s6988,s6367,s5593,s2856,s6985,s6953,s6976,s6792]) ).
cnf(s6990,plain,
( ~ spl0_25
| ~ spl0_14
| spl0_62 ),
inference(rat,[],[s5980,s3089,s6977,s4501,s6364,s6329,s4096,s65,s5229,s5524,s2573,s5517,s6965,s4341,s2496,s6862,s6953,s6281,s6989,s4529,s6984,s6976]) ).
cnf(s6991,plain,
( ~ spl0_285
| ~ spl0_14
| spl0_62 ),
inference(rat,[],[s5974,s1638,s5565,s5682,s6007,s939,s2863,s5107,s4535,s933,s1200,s3696,s4586,s5270,s4363,s4520,s6867,s6862,s6281,s6989,s6407,s2461,s1544,s2245,s1,s3184,s6990,s6984,s6953,s4529,s6976,s6792]) ).
cnf(s6992,plain,
( ~ spl0_234
| ~ spl0_14
| spl0_62 ),
inference(rat,[],[s3896,s5230,s5248,s6357,s6363,s6672,s6721,s6862,s6281,s6989,s2461,s1544,s2245,s1,s3184,s6990,s6984,s6953,s4529,s6976,s6792]) ).
cnf(s6993,plain,
( ~ spl0_14
| spl0_62 ),
inference(rat,[],[s3650,s2229,s939,s5532,s5128,s6379,s2338,s6603,s1506,s2759,s6363,s4714,s2756,s6882,s5252,s540,s6992,s6282,s6991,s1216,s3602,s2022,s6407,s2461,s1544,s2245,s1,s3184,s6990,s6984,s4529,s6417,s4404,s6953,s6976,s6281,s6989,s6792]) ).
cnf(s6994,plain,
( spl0_262
| spl0_62 ),
inference(rat,[],[s16,s2,s5476,s3540,s2475,s4700,s6282,s6989,s5485,s1,s2245,s6834,s6953,s6976,s5982,s6993,s6792]) ).
cnf(s6995,plain,
spl0_62,
inference(rat,[],[s2490,s3693,s5600,s3497,s2050,s3184,s5593,s5524,s6994,s65,s5485,s1,s2245,s6834,s5982,s6993,s6989,s6976,s6953,s6862,s6792]) ).
cnf(s6996,plain,
( spl0_85
| ~ spl0_11
| spl0_399
| ~ spl0_9
| ~ spl0_224
| ~ spl0_234 ),
inference(rat,[],[s2209,s2237,s6017,s1851]) ).
cnf(s6997,plain,
( ~ spl0_253
| ~ spl0_224
| ~ spl0_234
| ~ spl0_267
| ~ spl0_511
| spl0_185
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s6910,s4366,s6996,s11,s3682,s3409,s81,s2756,s6407,s4054,s4783,s12,s2349,s6995]) ).
cnf(s6998,plain,
( spl0_253
| spl0_297
| spl0_98
| ~ spl0_25
| ~ spl0_285
| ~ spl0_14
| ~ spl0_21 ),
inference(rat,[],[s719,s5439,s6376,s1510,s6019,s1195,s5125,s5345,s11,s6061,s3696,s5685,s6363,s5594,s3491,s2098,s1,s5597,s2475,s5343,s6296,s6792]) ).
cnf(s6999,plain,
( spl0_98
| ~ spl0_25
| spl0_262
| spl0_60
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s5682,s3379,s3486,s3084,s6997,s6998,s5597,s5594,s2475,s2861,s934,s3491,s2098,s5343,s6296,s12,s6402,s3711,s917,s6423,s6282,s1850,s4106,s6792,s6995]) ).
cnf(s7000,plain,
( ~ spl0_224
| ~ spl0_98
| ~ spl0_25
| spl0_60
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s3994,s1856,s6104,s2048,s6363,s3968,s4783,s21,s6372,s99,s4964,s11,s4623,s6379,s5680,s4693,s108,s6206,s4977,s2349,s6402,s4572,s4106,s6329,s6319,s6678,s12,s6995,s6792]) ).
cnf(s7001,plain,
( spl0_267
| spl0_5
| ~ spl0_414
| ~ spl0_8
| spl0_234
| ~ spl0_477
| ~ spl0_98
| ~ spl0_285
| ~ spl0_14
| spl0_16 ),
inference(rat,[],[s1542,s6139,s5684,s5523,s4626,s6154,s3,s9,s4454,s6190,s510,s6995]) ).
cnf(s7002,plain,
( ~ spl0_25
| spl0_262
| spl0_60
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s5272,s218,s6357,s5363,s5371,s6541,s3682,s2756,s4054,s7001,s3635,s5635,s5637,s6364,s7000,s3679,s6329,s4572,s6678,s4120,s6999,s4106,s12,s210,s3711,s6282,s6995,s6792]) ).
cnf(s7003,plain,
( ~ spl0_253
| ~ spl0_224
| ~ spl0_267
| ~ spl0_234
| spl0_278
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s2884,s6996,s2846,s4,s4839,s3401,s3682,s6407,s81,s2756,s4783,s4054,s2349,s6995]) ).
cnf(s7004,plain,
( spl0_253
| ~ spl0_267
| ~ spl0_234
| spl0_356
| spl0_286
| ~ spl0_285
| ~ spl0_14
| ~ spl0_21 ),
inference(rat,[],[s6438,s6672,s5128,s1851,s2884,s2846,s11,s5125,s5685,s6363,s6995,s6792]) ).
cnf(s7005,plain,
( spl0_98
| spl0_286
| spl0_278
| ~ spl0_2
| spl0_371
| spl0_413
| spl0_262
| ~ spl0_57
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s5371,s3379,s2096,s3084,s3256,s7003,s7004,s5594,s2861,s540,s5345,s3491,s6296,s12,s6282,s6995,s6792]) ).
cnf(s7006,plain,
( spl0_262
| spl0_60
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s3671,s4572,s4054,s4692,s3840,s861,s479,s5125,s6283,s6678,s7005,s5420,s4987,s2,s4808,s3678,s5593,s2856,s7002,s12,s6402,s23,s919,s6792]) ).
cnf(s7007,plain,
( spl0_234
| spl0_267
| ~ spl0_419
| spl0_60
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s4964,s6407,s4623,s2824,s6319,s5371,s3236,s4889,s939,s861,s3746,s6104,s5597,s12,s6402,s7006,s510,s6995,s6792]) ).
cnf(s7008,plain,
( ~ spl0_253
| ~ spl0_234
| ~ spl0_511
| ~ spl0_260
| spl0_43
| spl0_60
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s2064,s55,s2240,s4767,s2309,s5596,s1679,s6357,s4366,s5371,s4623,s11,s4964,s3409,s6407,s2824,s6319,s3236,s4889,s12,s6402,s3711,s7006,s6995,s6792]) ).
cnf(s7009,plain,
( ~ spl0_224
| ~ spl0_386
| ~ spl0_234
| spl0_10
| spl0_185
| ~ spl0_240
| ~ spl0_21 ),
inference(rat,[],[s5223,s6372,s4744,s3409,s2756,s11,s5291,s1851,s6379,s2237,s5442,s2209,s2064]) ).
cnf(s7011,plain,
( spl0_242
| ~ spl0_255
| ~ spl0_7
| ~ spl0_159
| ~ spl0_397
| ~ spl0_234
| spl0_98
| spl0_15
| ~ spl0_240 ),
inference(rat,[],[s4679,s6475,s4184,s1001,s1695,s1068]) ).
cnf(s7012,plain,
( ~ spl0_220
| ~ spl0_7
| spl0_269
| ~ spl0_286
| ~ spl0_249
| ~ spl0_507
| ~ spl0_397
| ~ spl0_38
| spl0_381
| ~ spl0_275
| ~ spl0_415
| ~ spl0_17
| spl0_41
| ~ spl0_234
| spl0_267
| spl0_98
| ~ spl0_262
| spl0_15
| ~ spl0_126
| ~ spl0_14
| ~ spl0_240 ),
inference(rat,[],[s952,s2792,s5469,s6477,s1030,s4884,s5660,s6495,s6265,s5906,s5061,s6475,s2211,s3616,s970,s6338,s5398,s5244,s5073,s2828,s7011,s6279,s5713,s3087,s3670,s5593,s3491,s5594,s6296,s3105,s2759,s4744,s6792]) ).
cnf(s7013,plain,
( spl0_267
| spl0_98
| spl0_60
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s4679,s4184,s6362,s5638,s6853,s6474,s7012,s3,s5075,s5125,s6329,s2759,s479,s3408,s3734,s19,s2756,s1178,s6285,s11,s4403,s6379,s5521,s1542,s2571,s5371,s5435,s2698,s3666,s939,s2307,s4570,s2240,s3256,s1060,s7009,s6409,s4694,s2304,s3376,s6363,s7008,s4727,s7007,s4106,s5593,s3491,s3401,s5594,s510,s3456,s12,s6402,s210,s3711,s917,s6423,s7006,s6296,s6995,s6792]) ).
cnf(s7014,plain,
( ~ spl0_253
| ~ spl0_511
| ~ spl0_267
| spl0_60
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s6910,s4366,s6541,s3682,s81,s2756,s2824,s6329,s4054,s3236,s4889,s7006,s6995]) ).
cnf(s7018,plain,
( spl0_232
| ~ spl0_219
| ~ spl0_11
| ~ spl0_51
| ~ spl0_12
| ~ spl0_114
| ~ spl0_25 ),
inference(rat,[],[s3219,s6338,s3231,s614,s1830,s6343,s4497,s6995]) ).
cnf(s7019,plain,
( ~ spl0_212
| ~ spl0_232
| ~ spl0_215
| ~ spl0_11
| ~ spl0_12
| ~ spl0_114
| ~ spl0_25
| ~ spl0_267
| ~ spl0_14 ),
inference(rat,[],[s5383,s1227,s3552,s5742,s3921]) ).
cnf(s7020,plain,
( ~ spl0_219
| spl0_264
| ~ spl0_236
| ~ spl0_215
| ~ spl0_11
| ~ spl0_51
| ~ spl0_64
| ~ spl0_12
| ~ spl0_114
| ~ spl0_25
| ~ spl0_267
| spl0_60
| ~ spl0_14 ),
inference(rat,[],[s4181,s4868,s4049,s4213,s6477,s4882,s997,s6495,s7019,s4009,s2084,s3234,s3219,s6338,s4865,s7018,s2331,s6402,s210,s1544,s5682,s1850,s6279,s6995]) ).
cnf(s7021,plain,
( ~ spl0_64
| ~ spl0_12
| spl0_85
| spl0_234
| spl0_98
| spl0_60
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s3928,s1068,s5439,s6871,s6376,s7020,s3810,s1032,s4008,s6475,s11,s6913,s3408,s6372,s4991,s4194,s4767,s1856,s5104,s3188,s6869,s6357,s5682,s6402,s917,s6423,s5343,s5597,s1850,s5524,s7006,s21,s6793,s6363,s2863,s5635,s3679,s3711,s4011,s3887,s5556,s7014,s4106,s2856,s3669,s23,s919,s7013,s6296,s6418,s12,s6792,s6995]) ).
cnf(s7022,plain,
( spl0_64
| ~ spl0_38
| spl0_85
| ~ spl0_267
| spl0_185
| ~ spl0_240
| ~ spl0_21 ),
inference(rat,[],[s3994,s6372,s3658,s3409,s2853,s11,s4073,s1851,s6418]) ).
cnf(s7023,plain,
( spl0_85
| spl0_234
| spl0_98
| spl0_60
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s6376,s5636,s5439,s4397,s3928,s1695,s1032,s4008,s6475,s11,s3,s6913,s3408,s9,s4991,s4194,s6372,s3200,s6409,s1856,s4996,s5679,s5104,s6869,s6329,s218,s6357,s7021,s1660,s5682,s7022,s2756,s2435,s6418,s6379,s6402,s210,s5597,s5011,s1850,s5524,s7006,s21,s6793,s6363,s2863,s5635,s7014,s4106,s2856,s3669,s23,s919,s6296,s7013,s3679,s3711,s12,s6792,s6995]) ).
cnf(s7024,plain,
( spl0_234
| spl0_98
| spl0_60
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s4964,s5101,s6319,s6407,s6357,s2846,s481,s5371,s2884,s7023,s3717,s2863,s5635,s7014,s4106,s2856,s3669,s3679,s12,s6402,s3711,s23,s919,s6296,s7013,s6995,s6792]) ).
cnf(s7025,plain,
( spl0_85
| spl0_10
| ~ spl0_355
| spl0_356
| spl0_371
| ~ spl0_5
| ~ spl0_234
| ~ spl0_419
| ~ spl0_262
| spl0_60
| ~ spl0_240
| ~ spl0_21 ),
inference(rat,[],[s2029,s2913,s1856,s2698,s7009,s939,s3256,s5572,s5128,s2096,s6379,s6402,s3711,s6995,s6792]) ).
cnf(s7026,plain,
( spl0_98
| spl0_60
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s3994,s3840,s1856,s6372,s479,s3253,s4839,s6283,s6357,s2846,s5371,s2884,s7025,s2701,s6363,s4987,s5345,s6894,s4808,s3678,s18,s2856,s2573,s7024,s7013,s5343,s6296,s12,s7006,s6995,s6792]) ).
cnf(s7027,plain,
( spl0_60
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s4808,s25,s2856,s108,s7000,s4977,s2863,s5635,s3679,s6890,s14,s4714,s6678,s6882,s7026,s7006,s3711,s12,s6792,s6995]) ).
cnf(s7028,plain,
( spl0_85
| ~ spl0_56
| ~ spl0_11
| spl0_267
| ~ spl0_262
| ~ spl0_25
| ~ spl0_60 ),
inference(rat,[],[s4430,s6364,s4907,s2229,s103,s3383,s3844,s1544,s4614,s1851]) ).
cnf(s7029,plain,
( spl0_267
| ~ spl0_262
| ~ spl0_25
| spl0_234
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s6038,s6357,s4366,s5371,s7028,s6407,s11,s2824,s3734,s3236,s1549,s861,s3671,s6104,s12,s7027,s4106,s6995]) ).
cnf(s7030,plain,
( ~ spl0_65
| ~ spl0_60
| ~ spl0_14 ),
inference(rat,[],[s2847,s2824,s6995]) ).
cnf(s7031,plain,
( spl0_267
| spl0_98
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s2698,s3963,s1679,s3320,s4767,s103,s4727,s7029,s5735,s5593,s2051,s3491,s5594,s6984,s6407,s7030,s7027,s6296,s6995,s6792]) ).
cnf(s7032,plain,
( ~ spl0_3
| spl0_98
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s3840,s4054,s2853,s5556,s4073,s3090,s6476,s3486,s1542,s3844,s4096,s5524,s5229,s6282,s3184,s2475,s12,s6984,s6407,s7030,s7027,s6296,s5343,s7031,s6792]) ).
cnf(s7033,plain,
( ~ spl0_64
| ~ spl0_9
| ~ spl0_511
| ~ spl0_25
| ~ spl0_60
| spl0_16 ),
inference(rat,[],[s6918,s5353,s4366,s3844,s6995]) ).
cnf(s7034,plain,
( ~ spl0_25
| spl0_98
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s1851,s6910,s7033,s4,s2756,s4054,s6998,s934,s2743,s6282,s2573,s4106,s12,s3401,s6984,s7030,s7027,s7031,s5597,s7032,s6296,s6792]) ).
cnf(s7035,plain,
( ~ spl0_219
| spl0_294
| ~ spl0_285
| ~ spl0_11
| ~ spl0_292
| ~ spl0_162
| spl0_297
| ~ spl0_60
| ~ spl0_14 ),
inference(rat,[],[s1032,s2793,s4009,s5373,s4584,s5636,s5639]) ).
cnf(s7036,plain,
( ~ spl0_64
| spl0_98
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s5439,s6925,s719,s6376,s7035,s3200,s2470,s6282,s4889,s5556,s6283,s3090,s4,s479,s2228,s2756,s4365,s2248,s6554,s6095,s1856,s4767,s3188,s3379,s6357,s6672,s1544,s12,s3401,s6984,s6407,s7030,s7027,s5343,s7031,s1,s5597,s7032,s6296,s5345,s3678,s2856,s934,s917,s2781,s7034,s6995,s6792]) ).
cnf(s7037,plain,
( spl0_98
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s2853,s4073,s4365,s6476,s6188,s1542,s7036,s7034,s12,s7030,s7027,s6995]) ).
cnf(s7038,plain,
( spl0_267
| ~ spl0_25
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s3635,s7001,s5637,s6282,s3477,s7029,s510,s6329,s6678,s6364,s3538,s7027,s2786,s4120,s4572,s4106,s7037]) ).
cnf(s7039,plain,
( ~ spl0_64
| ~ spl0_267
| ~ spl0_25
| spl0_224
| ~ spl0_56
| ~ spl0_60
| spl0_16 ),
inference(rat,[],[s3188,s4767,s5486,s6357,s103,s5682,s3844,s1850,s6995]) ).
cnf(s7040,plain,
( ~ spl0_25
| ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s5103,s6363,s223,s6357,s6910,s5363,s5371,s6369,s5299,s3063,s7039,s7038,s12,s6984,s6407,s209,s7030,s5677,s6678,s6364,s3538,s7037,s7027,s2786,s6995,s6792]) ).
cnf(s7041,plain,
( ~ spl0_14
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s3671,s4572,s5676,s4692,s4365,s2756,s479,s43,s6283,s2856,s7040,s4927,s4839,s6678,s7037,s6407,s7030,s7027,s12]) ).
cnf(s7042,plain,
( spl0_98
| spl0_267
| ~ spl0_25
| spl0_60
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s1032,s4183,s6176,s4679,s6475,s2636,s3894,s5713,s2298,s2374,s5434,s6376,s6042,s1178,s7009,s6409,s3397,s4694,s1851,s5521,s19,s3376,s2698,s4727,s6363,s6557,s4889,s2197,s11,s6282,s5678,s2475,s4803,s3877,s5343,s6296,s12,s5485,s6402,s3711,s3401,s3456,s939,s3746,s510,s5696,s5982,s7041,s6995,s6792]) ).
cnf(s7043,plain,
( spl0_267
| ~ spl0_25
| spl0_60
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s2805,s6139,s2759,s1542,s2756,s5684,s4,s3577,s4120,s535,s7042,s939,s3746,s3401,s510,s3456,s5485,s5696,s5982,s7041,s6995,s6792]) ).
cnf(s7044,plain,
( ~ spl0_64
| ~ spl0_159
| ~ spl0_355
| spl0_356
| ~ spl0_267
| spl0_391 ),
inference(rat,[],[s5128,s6357,s3198,s5682]) ).
cnf(s7045,plain,
( spl0_98
| ~ spl0_267
| ~ spl0_25
| spl0_60
| ~ spl0_3
| spl0_14
| ~ spl0_240
| ~ spl0_21 ),
inference(rat,[],[s5980,s5262,s481,s2344,s7022,s7044,s6409,s6554,s2759,s3717,s6370,s2863,s4011,s5635,s6363,s6557,s3679,s1734,s4889,s2197,s2573,s6282,s2475,s5343,s6296,s4443,s5485,s5982,s6402,s3711,s1850,s6792,s6995]) ).
cnf(s7046,plain,
( spl0_234
| ~ spl0_414
| ~ spl0_267
| spl0_185
| ~ spl0_12
| ~ spl0_18
| ~ spl0_240
| ~ spl0_21 ),
inference(rat,[],[s2391,s4405,s3514,s6282,s4054,s4889,s5635,s3679,s6792]) ).
cnf(s7047,plain,
( ~ spl0_25
| spl0_60
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s5272,s218,s6357,s1858,s535,s4,s2756,s2759,s6282,s2805,s2573,s7046,s3401,s6364,s3496,s2788,s3693,s3577,s3579,s7045,s7043,s12,s5485,s5696,s5982,s7041,s210,s3711,s6995,s6792]) ).
cnf(s7048,plain,
( spl0_60
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s4365,s32,s479,s81,s2,s6284,s3184,s2856,s7047,s23,s919,s12,s5485,s5696,s5982,s7041,s6792]) ).
cnf(s7049,plain,
( spl0_234
| spl0_267
| ~ spl0_25
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s4454,s5523,s6364,s535,s6684,s5343,s4626,s2475,s6282,s6155,s11,s4889,s6284,s3734,s861,s479,s1549,s6104,s3671,s12,s5485,s5696,s5982,s7041,s7048,s510,s6995,s6792]) ).
cnf(s7050,plain,
( spl0_98
| spl0_267
| ~ spl0_25
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s28,s6001,s31,s103,s4727,s11,s2051,s6282,s5678,s3491,s2475,s4803,s5594,s5343,s6296,s12,s5485,s5696,s5982,s7041,s7048,s510,s7049,s6792]) ).
cnf(s7051,plain,
( spl0_267
| ~ spl0_25
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s2475,s5486,s6282,s103,s4889,s3844,s861,s5596,s3376,s2240,s2309,s6357,s535,s4,s2756,s2759,s2805,s3577,s6684,s7050,s7049,s3401,s510,s3456,s5485,s5696,s5982,s7041,s7048,s6995,s6792]) ).
cnf(s7052,plain,
( spl0_98
| ~ spl0_267
| ~ spl0_25
| ~ spl0_60
| ~ spl0_12
| ~ spl0_3
| ~ spl0_240 ),
inference(rat,[],[s3090,s3379,s6407,s4096,s5435,s5556,s5208,s5229,s2226,s4889,s5209,s6282,s2475,s5343,s6296,s6792]) ).
cnf(s7053,plain,
( ~ spl0_285
| spl0_234
| ~ spl0_267
| ~ spl0_25
| ~ spl0_60
| ~ spl0_3
| ~ spl0_18
| ~ spl0_240
| ~ spl0_21 ),
inference(rat,[],[s11,s1851,s5685,s3844,s5442,s4054,s103,s1856,s3514,s5486,s2391,s2475,s4405,s4587,s6684,s7052,s5485,s6792,s6995]) ).
cnf(s7054,plain,
( ~ spl0_262
| ~ spl0_25
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s6848,s4614,s1679,s5489,s6407,s3844,s5635,s5208,s5524,s4889,s5209,s2381,s4587,s6364,s6684,s3497,s3693,s7052,s5485,s5696,s5982,s7041,s7051,s7048,s6792,s6995]) ).
cnf(s7055,plain,
( ~ spl0_25
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s4,s1851,s2756,s3844,s5442,s2759,s103,s1856,s2805,s5486,s7053,s2475,s6282,s7054,s3401,s3497,s3693,s3577,s6684,s7052,s7051,s4587,s12,s5485,s5696,s5982,s7041,s7048,s6995,s6792]) ).
cnf(s7056,plain,
( ~ spl0_240
| spl0_16 ),
inference(rat,[],[s5556,s4029,s6296,s3693,s4054,s3497,s81,s3456,s3184,s5593,s7055,s7048,s5696,s5982,s7041,s6792]) ).
cnf(s7057,plain,
( ~ spl0_219
| ~ spl0_386
| ~ spl0_249
| ~ spl0_17
| ~ spl0_280
| ~ spl0_234
| spl0_294
| ~ spl0_292
| ~ spl0_38
| ~ spl0_262
| ~ spl0_85
| ~ spl0_260
| ~ spl0_25 ),
inference(rat,[],[s3957,s6176,s2918,s6475,s1034,s1722,s5636,s3530]) ).
cnf(s7058,plain,
( spl0_98
| ~ spl0_14
| spl0_267
| ~ spl0_25
| spl0_60
| spl0_16 ),
inference(rat,[],[s2793,s5244,s1032,s1107,s6176,s6475,s5508,s2280,s5906,s1034,s5060,s2918,s5713,s3670,s6376,s7057,s4350,s5116,s11,s2853,s1,s9,s4839,s3409,s4989,s4073,s5596,s3746,s6038,s3,s6407,s1676,s6476,s6357,s6329,s2824,s5521,s1542,s3666,s4062,s3236,s4366,s2570,s2756,s6282,s6369,s3078,s4520,s2393,s5594,s2378,s760,s6296,s12,s5602,s6402,s3711,s5563,s6281,s861,s6274,s510,s7056,s4106,s6792,s6995]) ).
cnf(s7059,plain,
( ~ spl0_14
| spl0_267
| ~ spl0_25
| spl0_60
| spl0_16 ),
inference(rat,[],[s4454,s5523,s6364,s4427,s2349,s4783,s6372,s2660,s4626,s21,s6223,s3059,s6282,s6882,s7058,s6281,s861,s6274,s510,s7056,s6995]) ).
cnf(s7060,plain,
( ~ spl0_216
| spl0_498
| ~ spl0_462
| spl0_224
| ~ spl0_273
| spl0_445
| spl0_262 ),
inference(rat,[],[s4476,s2210,s3223,s5528,s4360]) ).
cnf(s7061,plain,
( spl0_267
| ~ spl0_25
| spl0_60
| spl0_16 ),
inference(rat,[],[s5073,s3957,s6343,s2214,s6475,s7060,s3846,s3705,s6018,s6338,s4011,s2853,s5299,s6139,s2293,s5678,s4073,s3063,s1542,s2288,s4179,s11,s5684,s6376,s535,s3577,s4120,s6841,s4062,s2378,s19,s2756,s2393,s2435,s6418,s6379,s2299,s939,s2300,s3746,s5485,s4624,s5696,s4443,s5982,s7059,s861,s3056,s6274,s5563,s510,s12,s6281,s7056,s6402,s6995,s6792]) ).
cnf(s7062,plain,
( ~ spl0_20
| spl0_262
| ~ spl0_14
| ~ spl0_25
| spl0_60
| spl0_16 ),
inference(rat,[],[s3029,s5487,s5682,s939,s2373,s4223,s2349,s5708,s4783,s6372,s3028,s5685,s3409,s3734,s6402,s3711,s1850,s7061,s6282,s5564,s6281,s7056,s6995,s6792]) ).
cnf(s7063,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_471
| ~ spl0_14
| ~ spl0_267
| ~ spl0_25
| ~ spl0_57
| spl0_16 ),
inference(rat,[],[s4767,s3188,s6407,s960,s5343,s4783,s2237,s1181,s2349,s4223,s861,s2373,s5128,s6357,s6672,s2571,s2884,s2247,s2846,s6281,s2338,s2965,s1692,s7056,s6792,s6995]) ).
cnf(s7064,plain,
( spl0_98
| ~ spl0_253
| ~ spl0_8
| ~ spl0_11
| spl0_262
| ~ spl0_267
| spl0_60
| spl0_16 ),
inference(rat,[],[s3379,s3084,s6672,s4034,s1851,s4065,s4350,s6409,s9,s2861,s5518,s6296,s6281,s6402,s1692,s4077,s2756,s3682,s6784,s7056]) ).
cnf(s7065,plain,
( spl0_262
| ~ spl0_14
| ~ spl0_25
| spl0_60
| spl0_16 ),
inference(rat,[],[s6438,s3739,s4678,s6497,s1851,s1542,s6699,s3757,s4120,s7064,s861,s5374,s6784,s6319,s6329,s7063,s11,s7062,s5564,s6282,s12,s6281,s4148,s7056,s6402,s7061,s4106,s6995]) ).
cnf(s7066,plain,
( ~ spl0_14
| ~ spl0_25
| spl0_60
| spl0_16 ),
inference(rat,[],[s5128,s956,s6357,s4065,s6007,s3029,s2863,s7044,s5635,s6363,s3236,s2824,s2759,s6372,s3028,s3409,s3734,s11,s3679,s1692,s2573,s7065,s12,s2338,s7056,s2965,s3711,s1850,s7061,s6995,s6792]) ).
cnf(s7067,plain,
( ~ spl0_216
| ~ spl0_446
| ~ spl0_542
| ~ spl0_295 ),
inference(rat,[],[s4263,s6341,s520,s4487,s699]) ).
cnf(s7068,plain,
( ~ spl0_212
| ~ spl0_217
| spl0_293
| ~ spl0_237
| spl0_303
| ~ spl0_233
| ~ spl0_236
| spl0_182
| ~ spl0_64
| ~ spl0_249
| spl0_391 ),
inference(rat,[],[s5409,s6477,s5716,s4213,s4228,s3016,s2390,s5443,s4056]) ).
cnf(s7069,plain,
( spl0_232
| ~ spl0_215
| spl0_297
| ~ spl0_51
| spl0_182
| ~ spl0_64
| ~ spl0_114
| ~ spl0_249
| ~ spl0_29
| ~ spl0_159
| ~ spl0_27
| spl0_262
| ~ spl0_3
| spl0_41
| ~ spl0_25
| ~ spl0_57 ),
inference(rat,[],[s2390,s4228,s5438,s4617,s5681,s4305,s6495,s7068,s6473,s6914,s3305,s4397,s4217,s5069,s3928,s4264,s3956,s3957,s6343,s520,s5011,s1850,s6282,s6995]) ).
cnf(s7070,plain,
( ~ spl0_64
| ~ spl0_114
| ~ spl0_249
| spl0_234
| ~ spl0_29
| ~ spl0_27
| ~ spl0_38
| ~ spl0_253
| spl0_262
| ~ spl0_3
| spl0_41
| ~ spl0_267
| ~ spl0_25
| spl0_60
| ~ spl0_284 ),
inference(rat,[],[s4294,s4619,s6474,s4865,s3922,s7069,s6475,s7067,s3750,s6409,s1856,s4065,s4034,s4272,s4223,s5572,s2373,s6379,s2470,s6357,s3198,s5682,s6402,s1850,s5564,s2475,s6282,s2759,s4077,s6995]) ).
cnf(s7071,plain,
( spl0_234
| spl0_262
| ~ spl0_25
| spl0_60
| spl0_16 ),
inference(rat,[],[s6779,s6497,s3029,s1542,s7070,s6372,s4011,s1549,s3409,s5678,s3734,s11,s1692,s12,s6281,s3711,s4443,s6943,s15,s19,s21,s4442,s3693,s5343,s7061,s2756,s5476,s2475,s6282,s7056,s5485,s5696,s5982,s7066,s6792]) ).
cnf(s7072,plain,
( ~ spl0_64
| spl0_262
| ~ spl0_25
| spl0_60
| spl0_16 ),
inference(rat,[],[s4294,s6474,s4619,s5073,s3230,s3957,s6343,s4011,s1549,s2214,s5678,s3734,s6475,s11,s7067,s960,s1181,s4272,s4223,s5572,s2373,s6379,s6357,s3198,s6672,s12,s6402,s1850,s5564,s6281,s4120,s3577,s2759,s4077,s6943,s15,s21,s4442,s3693,s5343,s7061,s2756,s5476,s2475,s6282,s7056,s5485,s5696,s5982,s7066,s7071,s6995,s6792]) ).
cnf(s7073,plain,
( spl0_262
| ~ spl0_25
| spl0_60
| spl0_16 ),
inference(rat,[],[s6779,s6372,s3029,s3409,s3734,s11,s535,s939,s3739,s6497,s1542,s7072,s2756,s5476,s5343,s2475,s6282,s12,s7056,s3711,s7061,s5485,s5696,s5982,s7066,s6995,s6792]) ).
cnf(s7074,plain,
( ~ spl0_25
| spl0_60
| spl0_16 ),
inference(rat,[],[s5128,s6357,s956,s5487,s4065,s3029,s2863,s7044,s5635,s6363,s5708,s4062,s2759,s6372,s3028,s3409,s3734,s11,s3679,s1692,s2573,s7073,s5485,s5696,s5982,s7066,s7061,s1850,s12,s2338,s7056,s2965,s3711,s6792,s6995]) ).
cnf(s7075,plain,
( ~ spl0_259
| ~ spl0_64
| ~ spl0_98
| ~ spl0_234
| spl0_49
| ~ spl0_14
| ~ spl0_253
| spl0_60 ),
inference(rat,[],[s2660,s6407,s21,s4783,s4455,s4427,s2039,s6995]) ).
cnf(s7076,plain,
( ~ spl0_64
| ~ spl0_98
| ~ spl0_234
| spl0_49
| ~ spl0_41
| ~ spl0_471
| ~ spl0_14
| ~ spl0_253
| spl0_60
| ~ spl0_284 ),
inference(rat,[],[s5980,s2203,s4783,s960,s2237,s2349,s4223,s2373,s6357,s7075,s6402,s6995]) ).
cnf(s7077,plain,
( spl0_262
| ~ spl0_14
| ~ spl0_253
| ~ spl0_450
| ~ spl0_260
| ~ spl0_26
| ~ spl0_5
| spl0_60
| ~ spl0_284 ),
inference(rat,[],[s5974,s4678,s5572,s2735,s2913,s4364,s7076,s2378,s3633,s3059,s4520,s3558,s5564,s6282,s210,s3056,s6995,s6792]) ).
cnf(s7078,plain,
( spl0_267
| spl0_60
| spl0_16 ),
inference(rat,[],[s5594,s3491,s6296,s6882,s7077,s5982,s861,s5696,s6274,s3184,s5563,s510,s3456,s6281,s7056,s2856,s18,s5593,s7074,s6792]) ).
cnf(s7079,plain,
( ~ spl0_259
| ~ spl0_64
| ~ spl0_267
| ~ spl0_2 ),
inference(rat,[],[s4363,s540,s5684,s6672,s6995]) ).
cnf(s7080,plain,
( ~ spl0_64
| ~ spl0_14
| spl0_262
| spl0_60
| spl0_16 ),
inference(rat,[],[s21,s4456,s2660,s5343,s2048,s3253,s6379,s960,s2884,s1692,s2846,s11,s4839,s3409,s6407,s4783,s861,s2237,s2349,s2663,s4223,s5251,s2373,s6357,s7079,s12,s6402,s210,s3711,s18,s2,s23,s919,s4987,s4808,s2856,s7074,s7078,s6282,s5564,s6281,s7056,s6792,s6995]) ).
cnf(s7081,plain,
( spl0_64
| ~ spl0_285
| spl0_60
| spl0_16 ),
inference(rat,[],[s5980,s4839,s6779,s32,s3658,s4365,s3840,s479,s6287,s6497,s1542,s2,s23,s919,s4987,s4808,s2856,s7074,s7078,s6792]) ).
cnf(s7082,plain,
( spl0_14
| spl0_60
| spl0_16 ),
inference(rat,[],[s32,s4365,s5485,s5228,s479,s5696,s4971,s6284,s5982,s12,s5593,s2,s2856,s7074,s23,s919,s6792]) ).
cnf(s7083,plain,
( spl0_262
| spl0_60
| spl0_16 ),
inference(rat,[],[s7081,s7080,s6282,s7082]) ).
cnf(s7084,plain,
( ~ spl0_253
| spl0_259
| ~ spl0_162
| ~ spl0_262
| ~ spl0_14
| spl0_278
| ~ spl0_2
| ~ spl0_26
| spl0_60
| ~ spl0_284 ),
inference(rat,[],[s5974,s5269,s2884,s2228,s2846,s4332,s2248,s4839,s3252,s1856,s6407,s3253,s2824,s540,s5343,s3236,s6882,s6357,s6995,s6792]) ).
cnf(s7085,plain,
( ~ spl0_64
| spl0_60
| spl0_16 ),
inference(rat,[],[s479,s3840,s6283,s4692,s2846,s4366,s2884,s5128,s6363,s7084,s6357,s7079,s1544,s12,s6281,s2338,s7056,s2965,s18,s2,s23,s919,s4987,s4808,s2856,s7074,s7078,s7082,s7083,s6995,s6792]) ).
cnf(s7086,plain,
( spl0_60
| spl0_16 ),
inference(rat,[],[s5225,s2765,s4365,s3840,s479,s6287,s1542,s7085,s7083,s7082,s7078,s2856,s7074]) ).
cnf(s7087,plain,
( ~ spl0_64
| ~ spl0_477
| ~ spl0_25
| spl0_469
| ~ spl0_285 ),
inference(rat,[],[s5523,s4626,s5684,s57,s6995]) ).
cnf(s7088,plain,
( ~ spl0_14
| ~ spl0_25
| spl0_267
| ~ spl0_285
| spl0_16 ),
inference(rat,[],[s4678,s5523,s6369,s4626,s5299,s6223,s7030,s861,s6274,s3063,s7087,s4120,s4454,s6364,s6684,s2378,s5563,s4520,s7086,s12,s3056,s510,s6281,s7056,s6995,s6792]) ).
cnf(s7089,plain,
( spl0_232
| ~ spl0_114
| ~ spl0_220
| ~ spl0_249
| ~ spl0_477 ),
inference(rat,[],[s5073,s3957,s6343]) ).
cnf(s7090,plain,
( ~ spl0_25
| spl0_267
| ~ spl0_285
| spl0_16 ),
inference(rat,[],[s5508,s5906,s3616,s4476,s5352,s2210,s5528,s6373,s2214,s7089,s6338,s2293,s4179,s719,s4011,s6376,s5678,s479,s6841,s11,s6285,s3705,s6139,s1856,s19,s55,s2299,s6372,s939,s5486,s5476,s4587,s2300,s4535,s5596,s2475,s5485,s2316,s4624,s5696,s4443,s5982,s7088,s1542,s2288,s7087,s3577,s4120,s12,s861,s6274,s4454,s6364,s6684,s2378,s5563,s4520,s6281,s7056,s7086,s510,s6995,s6792]) ).
cnf(s7091,plain,
( spl0_267
| spl0_262
| spl0_16 ),
inference(rat,[],[s1197,s5474,s4678,s6407,s939,s7030,s2309,s4443,s2240,s3558,s5568,s18,s7090,s6364,s6684,s861,s2378,s6274,s5563,s510,s2965,s7086,s4520,s6282,s6281,s7056,s6995,s6792]) ).
cnf(s7092,plain,
( ~ spl0_64
| ~ spl0_14
| ~ spl0_25
| spl0_262
| spl0_16 ),
inference(rat,[],[s5518,s6329,s4571,s6684,s19,s2470,s7039,s7033,s5682,s3844,s6281,s7056,s6282,s7091,s1850,s4106,s6407,s7030,s7086,s6995]) ).
cnf(s7093,plain,
( ~ spl0_85
| spl0_64
| ~ spl0_14
| spl0_262
| spl0_16 ),
inference(rat,[],[s5374,s6319,s6363,s2846,s6910,s2884,s12,s4148,s7056,s6282,s7091,s6984,s7030,s7086,s6995]) ).
cnf(s7094,plain,
( ~ spl0_14
| ~ spl0_25
| spl0_262
| spl0_16 ),
inference(rat,[],[s5685,s4034,s11,s5532,s1851,s6379,s7093,s4065,s3840,s2853,s1856,s1209,s4073,s4767,s2253,s6476,s1679,s1542,s7092,s6407,s7030,s6984,s12,s6281,s7056,s7086,s6282,s7091,s6792]) ).
cnf(s7095,plain,
( ~ spl0_25
| spl0_262
| spl0_16 ),
inference(rat,[],[s5487,s939,s5708,s4332,s6372,s5532,s4535,s6379,s2316,s4350,s1856,s3844,s4077,s5486,s6364,s19,s2756,s6684,s5476,s5343,s2475,s5485,s6943,s3547,s5696,s4443,s15,s5982,s7094,s6281,s7056,s7086,s6282,s7091,s6995,s6792]) ).
cnf(s7096,plain,
( spl0_98
| spl0_6
| spl0_83
| ~ spl0_292
| ~ spl0_162
| ~ spl0_14
| ~ spl0_2
| spl0_16 ),
inference(rat,[],[s5532,s2228,s6379,s2248,s2884,s1856,s2846,s4767,s6329,s3188,s540,s5518,s5343,s6281,s7056,s6407,s7030,s7086,s6995,s6792]) ).
cnf(s7097,plain,
( ~ spl0_64
| ~ spl0_14
| spl0_262
| spl0_16 ),
inference(rat,[],[s479,s3840,s6283,s4692,s2846,s4366,s2884,s6369,s5269,s6684,s7096,s4571,s4332,s3252,s2470,s6357,s7079,s1544,s12,s6281,s7056,s7091,s2,s2856,s7095,s3540,s4700,s6282,s6407,s7030,s7086,s6995,s6792]) ).
cnf(s7098,plain,
( ~ spl0_14
| spl0_262
| spl0_16 ),
inference(rat,[],[s479,s4365,s6285,s6188,s7093,s1542,s7097,s12,s7086,s7095,s6995]) ).
cnf(s7099,plain,
( spl0_262
| spl0_16 ),
inference(rat,[],[s32,s4365,s5485,s5228,s479,s5696,s4971,s6284,s5982,s7098,s2,s5593,s2856,s7095,s3540,s4700,s6282,s12,s6792]) ).
cnf(s7100,plain,
( spl0_267
| ~ spl0_25
| ~ spl0_14
| spl0_16 ),
inference(rat,[],[s103,s4727,s4767,s6166,s1679,s1542,s4366,s5679,s241,s4571,s9,s3,s6329,s4062,s2756,s3078,s5594,s760,s6296,s6882,s861,s6274,s510,s5602,s7056,s7099,s6984,s6407,s7030,s7086,s4106,s6995,s6792]) ).
cnf(s7101,plain,
( ~ spl0_25
| ~ spl0_14
| spl0_16 ),
inference(rat,[],[s6939,s1197,s5517,s5474,s6909,s6364,s4096,s2573,s7100,s5229,s2965,s6281,s7056,s7099,s3401,s6984,s6407,s7030,s7086]) ).
cnf(s7102,plain,
( spl0_267
| ~ spl0_14
| spl0_16 ),
inference(rat,[],[s5594,s3491,s6296,s6882,s861,s6274,s510,s7056,s7099,s5593,s7101,s6792]) ).
cnf(s7103,plain,
( ~ spl0_98
| spl0_453
| ~ spl0_14
| spl0_16 ),
inference(rat,[],[s5517,s3089,s6882,s6684,s6281,s7056,s7099,s6407,s7030,s7086,s6995]) ).
cnf(s7104,plain,
( ~ spl0_64
| ~ spl0_14
| spl0_16 ),
inference(rat,[],[s3254,s6369,s5517,s6283,s5269,s3089,s479,s2228,s4365,s2248,s6095,s1856,s4767,s3188,s540,s5343,s7103,s4332,s2373,s3252,s6357,s7079,s1544,s12,s6281,s7056,s7099,s6407,s7030,s2856,s1,s3184,s7101,s6984,s7086,s7102,s6995,s6792]) ).
cnf(s7105,plain,
( ~ spl0_14
| spl0_16 ),
inference(rat,[],[s2853,s4073,s4365,s6476,s6188,s1542,s7104,s7101,s7030,s12,s7086,s6995]) ).
cnf(s7106,plain,
( spl0_267
| ~ spl0_25
| spl0_16 ),
inference(rat,[],[s2754,s5252,s4062,s2375,s861,s6274,s3401,s510,s3456,s6281,s7056,s7099,s5485,s5696,s5982,s7105,s6792]) ).
cnf(s7107,plain,
( ~ spl0_25
| spl0_16 ),
inference(rat,[],[s861,s6561,s4062,s6372,s3028,s4535,s3734,s2316,s11,s6364,s3844,s1692,s4096,s5524,s2573,s7106,s5229,s12,s2338,s7056,s2965,s7086,s7099,s4443,s5485,s5696,s5982,s7105,s6792]) ).
cnf(s7108,plain,
spl0_16,
inference(rat,[],[s2490,s3693,s5600,s3497,s3456,s2050,s3184,s5593,s7107,s5696,s5982,s7105,s7086,s7056,s6792]) ).
cnf(s7109,plain,
( spl0_267
| ~ spl0_14
| ~ spl0_25
| spl0_262 ),
inference(rat,[],[s5658,s4883,s3580,s5125,s4572,s6819,s6832,s6363,s4586,s4120,s4843,s3516,s510,s4106,s3057,s4626,s22,s6282,s7108]) ).
cnf(s7110,plain,
( ~ spl0_64
| ~ spl0_126
| spl0_384
| spl0_371
| ~ spl0_355
| ~ spl0_267
| ~ spl0_56
| ~ spl0_511
| ~ spl0_14
| spl0_391 ),
inference(rat,[],[s6678,s6329,s2338,s5345,s4996,s5128,s218,s6357,s4366,s1660,s5682,s6995]) ).
cnf(s7111,plain,
( ~ spl0_12
| spl0_64
| ~ spl0_14
| ~ spl0_25 ),
inference(rat,[],[s2862,s4,s1851,s6379,s19,s2884,s65,s2846,s2654,s6995,s7108]) ).
cnf(s7112,plain,
( spl0_60
| ~ spl0_267
| ~ spl0_14
| ~ spl0_25
| ~ spl0_285 ),
inference(rat,[],[s5674,s6364,s5527,s4977,s5371,s2384,s4843,s5470,s4693,s6061,s27,s5218,s5125,s14,s6329,s7111,s6497,s5033,s1542,s7110,s210,s1850,s4106,s6407,s2654,s6363,s3696,s1506,s4714,s4341,s2496,s6995,s7108]) ).
cnf(s7113,plain,
( ~ spl0_64
| ~ spl0_60
| spl0_371
| ~ spl0_355
| ~ spl0_267
| ~ spl0_511
| spl0_391 ),
inference(rat,[],[s6684,s1178,s5345,s5128,s3276,s6357,s4366,s5682,s6995]) ).
cnf(s7114,plain,
( ~ spl0_14
| ~ spl0_25
| spl0_262 ),
inference(rat,[],[s5371,s4614,s5527,s5489,s5674,s5635,s6364,s6684,s2384,s4843,s5470,s6061,s27,s5125,s14,s7111,s7113,s7112,s3696,s6363,s4714,s4341,s7109,s6407,s2496,s4106,s2654,s6282,s1850,s6995,s7108]) ).
cnf(s7115,plain,
( ~ spl0_56
| ~ spl0_234
| ~ spl0_224
| ~ spl0_29
| spl0_60
| ~ spl0_260
| spl0_14
| ~ spl0_285 ),
inference(rat,[],[s2064,s2384,s107,s3059,s2096,s2660,s2021,s5262,s6402,s7108]) ).
cnf(s7116,plain,
( ~ spl0_64
| spl0_60
| spl0_267
| spl0_14
| ~ spl0_25
| ~ spl0_285 ),
inference(rat,[],[s6943,s2369,s2647,s6372,s7115,s2228,s3580,s2063,s5056,s5592,s2863,s6357,s4454,s5684,s7087,s4120,s4843,s3516,s37,s21,s57,s1544,s15,s510,s919,s7108,s6995]) ).
cnf(s7117,plain,
( spl0_98
| spl0_267
| ~ spl0_285 ),
inference(rat,[],[s5594,s3491,s2098,s6296,s6792]) ).
cnf(s7118,plain,
( spl0_85
| spl0_64
| spl0_60
| spl0_10
| spl0_14
| ~ spl0_25 ),
inference(rat,[],[s6541,s5595,s6329,s29,s2756,s5291,s6379,s7108]) ).
cnf(s7119,plain,
( spl0_259
| ~ spl0_85
| spl0_64
| spl0_267
| spl0_14
| ~ spl0_285 ),
inference(rat,[],[s4624,s2064,s6552,s5596,s6038,s2470,s6357,s15,s4443,s510,s7117,s107,s6995,s7108,s6792]) ).
cnf(s7120,plain,
( spl0_60
| spl0_267
| spl0_14
| ~ spl0_25
| ~ spl0_285 ),
inference(rat,[],[s5228,s2759,s4971,s2805,s4893,s3750,s6943,s4367,s6551,s4678,s3715,s7119,s7118,s7116,s5982,s15,s2702,s2477,s510,s3577,s7117,s6792,s6995]) ).
cnf(s7121,plain,
( ~ spl0_303
| ~ spl0_7
| ~ spl0_25 ),
inference(rat,[],[s722,s3928,s7108]) ).
cnf(s7122,plain,
( spl0_236
| ~ spl0_322
| spl0_323
| ~ spl0_309
| ~ spl0_405
| spl0_280
| ~ spl0_2
| ~ spl0_260 ),
inference(rat,[],[s5953,s5409,s3393,s2614,s6376,s1107,s4502]) ).
cnf(s7123,plain,
( spl0_337
| ~ spl0_27
| ~ spl0_259
| spl0_280
| ~ spl0_311
| ~ spl0_240
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_159
| spl0_445
| spl0_224
| ~ spl0_98
| ~ spl0_260
| spl0_502
| spl0_384
| ~ spl0_25 ),
inference(rat,[],[s5953,s1729,s5405,s1695,s4217,s7122,s1040,s1705,s5222,s6496,s3831,s5716,s2421,s5346,s2287,s4178,s6495,s6008,s5068,s2845,s4120,s4427,s7121,s6995]) ).
cnf(s7124,plain,
( ~ spl0_38
| ~ spl0_253
| spl0_267
| ~ spl0_25
| spl0_262 ),
inference(rat,[],[s2991,s3610,s6495,s2028,s2775,s7123,s103,s939,s5640,s6137,s1724,s4479,s2805,s40,s6784,s1,s5595,s5485,s6159,s6329,s29,s2758,s2759,s1507,s3547,s5982,s3577,s2288,s1679,s3456,s2344,s7087,s4454,s6364,s6684,s7120,s7114,s4120,s7117,s2477,s510,s6282,s7108,s6792,s6995]) ).
cnf(s7125,plain,
( spl0_38
| spl0_64
| ~ spl0_60
| spl0_10
| spl0_14
| ~ spl0_25 ),
inference(rat,[],[s4893,s1521,s4971,s4,s5228,s2756,s5982,s7108,s6792]) ).
cnf(s7126,plain,
( spl0_267
| ~ spl0_25
| spl0_262 ),
inference(rat,[],[s3750,s2805,s2471,s6943,s7124,s2759,s7125,s7087,s4454,s6364,s6684,s7120,s3577,s4120,s7117,s2702,s2477,s510,s6282,s15,s7114,s6995]) ).
cnf(s7127,plain,
( spl0_98
| ~ spl0_267
| ~ spl0_18
| ~ spl0_285 ),
inference(rat,[],[s6721,s5597,s5556,s2475,s4029,s2098,s5343,s6296,s7108,s6792]) ).
cnf(s7128,plain,
( spl0_65
| ~ spl0_57
| ~ spl0_469
| ~ spl0_64
| spl0_14 ),
inference(rat,[],[s2754,s5123,s2759,s6329,s6603,s2721,s2096,s2021,s5262,s6407,s7108,s6995]) ).
cnf(s7129,plain,
( spl0_60
| ~ spl0_469
| spl0_132
| spl0_259
| ~ spl0_64
| ~ spl0_267
| spl0_14
| ~ spl0_285 ),
inference(rat,[],[s4744,s3750,s5223,s5466,s6409,s2471,s6943,s6363,s2244,s4063,s7128,s4096,s2863,s5272,s3382,s218,s2336,s210,s6402,s5982,s15,s1544,s6357,s7108,s6792]) ).
cnf(s7130,plain,
( ~ spl0_64
| ~ spl0_267
| spl0_14
| ~ spl0_25
| ~ spl0_285 ),
inference(rat,[],[s5640,s6721,s3188,s2471,s5486,s915,s6364,s103,s6684,s3844,s7129,s5523,s2470,s6357,s4626,s1660,s5682,s57,s1850,s15,s7127,s5982,s7108,s6995]) ).
cnf(s7134,plain,
( spl0_12
| ~ spl0_89 ),
inference(rat,[],[s5677,s6792]) ).
cnf(s7135,plain,
( spl0_3
| ~ spl0_419
| spl0_234 ),
inference(rat,[],[s5597,s6792]) ).
cnf(s7136,plain,
( ~ spl0_413
| spl0_25 ),
inference(rat,[],[s5593,s6792]) ).
cnf(s7137,plain,
( ~ spl0_3
| spl0_12
| ~ spl0_18 ),
inference(rat,[],[s5485,s6792]) ).
cnf(s7138,plain,
( spl0_536
| ~ spl0_337 ),
inference(rat,[],[s5453,s7108]) ).
cnf(s7144,plain,
( ~ spl0_259
| ~ spl0_240
| ~ spl0_85
| ~ spl0_14 ),
inference(rat,[],[s5371,s6995]) ).
cnf(s7147,plain,
( spl0_98
| ~ spl0_295 ),
inference(rat,[],[s5343,s6792]) ).
cnf(s7149,plain,
( ~ spl0_319
| ~ spl0_325
| ~ spl0_85 ),
inference(rat,[],[s5245,s6995]) ).
cnf(s7156,plain,
( ~ spl0_227
| ~ spl0_232
| spl0_70 ),
inference(rat,[],[s4981,s7108]) ).
cnf(s7158,plain,
( ~ spl0_179
| spl0_413
| spl0_14 ),
inference(rat,[],[s4971,s6792]) ).
cnf(s7168,plain,
( spl0_262
| ~ spl0_507 ),
inference(rat,[],[s4700,s6792]) ).
cnf(s7171,plain,
( ~ spl0_259
| ~ spl0_85
| ~ spl0_98
| ~ spl0_253 ),
inference(rat,[],[s4678,s6995]) ).
cnf(s7172,plain,
( ~ spl0_253
| ~ spl0_477
| ~ spl0_14 ),
inference(rat,[],[s4586,s7108]) ).
cnf(s7176,plain,
( ~ spl0_28
| ~ spl0_64
| spl0_391 ),
inference(rat,[],[s4455,s6995]) ).
cnf(s7177,plain,
( ~ spl0_41
| spl0_14 ),
inference(rat,[],[s4443,s6792]) ).
cnf(s7179,plain,
( spl0_415
| ~ spl0_12
| ~ spl0_85 ),
inference(rat,[],[s4367,s6995]) ).
cnf(s7180,plain,
( ~ spl0_85
| ~ spl0_511
| ~ spl0_64 ),
inference(rat,[],[s4366,s6995]) ).
cnf(s7182,plain,
( ~ spl0_253
| spl0_70
| ~ spl0_267 ),
inference(rat,[],[s4341,s7108]) ).
cnf(s7183,plain,
( ~ spl0_335
| ~ spl0_340
| spl0_70 ),
inference(rat,[],[s4334,s7108]) ).
cnf(s7185,plain,
( ~ spl0_92
| spl0_224
| ~ spl0_285
| ~ spl0_18 ),
inference(rat,[],[s4258,s6792]) ).
cnf(s7191,plain,
( ~ spl0_65
| ~ spl0_518
| ~ spl0_253 ),
inference(rat,[],[s4063,s7108]) ).
cnf(s7209,plain,
( ~ spl0_185
| spl0_60 ),
inference(rat,[],[s3711,s6792]) ).
cnf(s7211,plain,
( spl0_415
| ~ spl0_259
| ~ spl0_262 ),
inference(rat,[],[s3666,s6995]) ).
cnf(s7216,plain,
( ~ spl0_97
| ~ spl0_18
| spl0_262 ),
inference(rat,[],[s3503,s6792]) ).
cnf(s7217,plain,
( ~ spl0_467
| spl0_98
| spl0_413 ),
inference(rat,[],[s3491,s6792]) ).
cnf(s7221,plain,
( ~ spl0_489
| spl0_64 ),
inference(rat,[],[s3486,s6792]) ).
cnf(s7224,plain,
( spl0_70
| ~ spl0_28
| ~ spl0_14 ),
inference(rat,[],[s3377,s7108]) ).
cnf(s7227,plain,
( ~ spl0_268
| ~ spl0_264
| spl0_415 ),
inference(rat,[],[s2921,s6995]) ).
cnf(s7231,plain,
( ~ spl0_67
| ~ spl0_85 ),
inference(rat,[],[s2884,s6995]) ).
cnf(s7233,plain,
( ~ spl0_402
| ~ spl0_65 ),
inference(rat,[],[s2824,s6995]) ).
cnf(s7237,plain,
( ~ spl0_224
| ~ spl0_444 ),
inference(rat,[],[s2788,s6995]) ).
cnf(s7238,plain,
( spl0_167
| ~ spl0_38 ),
inference(rat,[],[s2758,s7108]) ).
cnf(s7241,plain,
( ~ spl0_85
| ~ spl0_12
| ~ spl0_64 ),
inference(rat,[],[s2721,s7108,s6995]) ).
cnf(s7242,plain,
( ~ spl0_308
| ~ spl0_212
| ~ spl0_240
| ~ spl0_337 ),
inference(rat,[],[s2715,s7108]) ).
cnf(s7243,plain,
( ~ spl0_262
| ~ spl0_12
| ~ spl0_25
| ~ spl0_240 ),
inference(rat,[],[s2714,s7108]) ).
cnf(s7244,plain,
( ~ spl0_244
| ~ spl0_220
| ~ spl0_240
| ~ spl0_236 ),
inference(rat,[],[s2713,s7108]) ).
cnf(s7247,plain,
( ~ spl0_259
| ~ spl0_234
| ~ spl0_262
| ~ spl0_64 ),
inference(rat,[],[s2698,s6995]) ).
cnf(s7251,plain,
( ~ spl0_65
| ~ spl0_14
| ~ spl0_25 ),
inference(rat,[],[s2654,s7108,s6995]) ).
cnf(s7255,plain,
( ~ spl0_462
| ~ spl0_386 ),
inference(rat,[],[s2578,s7108]) ).
cnf(s7264,plain,
( ~ spl0_411
| spl0_264
| ~ spl0_18 ),
inference(rat,[],[s2379,s6792]) ).
cnf(s7265,plain,
( spl0_451
| ~ spl0_450
| spl0_98 ),
inference(rat,[],[s2378,s6792]) ).
cnf(s7266,plain,
( spl0_324
| ~ spl0_409
| ~ spl0_18 ),
inference(rat,[],[s2377,s6792]) ).
cnf(s7267,plain,
( ~ spl0_253
| ~ spl0_65
| ~ spl0_224
| ~ spl0_162 ),
inference(rat,[],[s2369,s7108]) ).
cnf(s7270,plain,
( ~ spl0_124
| spl0_60
| ~ spl0_18 ),
inference(rat,[],[s2336,s6792]) ).
cnf(s7272,plain,
( ~ spl0_88
| ~ spl0_12 ),
inference(rat,[],[s2300,s6995]) ).
cnf(s7274,plain,
( ~ spl0_244
| ~ spl0_264
| ~ spl0_12
| ~ spl0_25 ),
inference(rat,[],[s2282,s7108]) ).
cnf(s7278,plain,
( ~ spl0_386
| ~ spl0_65
| ~ spl0_162 ),
inference(rat,[],[s2244,s7108]) ).
cnf(s7289,plain,
( ~ spl0_391
| ~ spl0_25 ),
inference(rat,[],[s1850,s6995]) ).
cnf(s7292,plain,
( ~ spl0_12
| ~ spl0_234
| ~ spl0_240
| ~ spl0_98 ),
inference(rat,[],[s1825,s7108]) ).
cnf(s7306,plain,
( ~ spl0_391
| ~ spl0_85 ),
inference(rat,[],[s1638,s7108]) ).
cnf(s7313,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_98
| ~ spl0_25
| ~ spl0_224 ),
inference(rat,[],[s1181,s6995]) ).
cnf(s7370,plain,
( ~ spl0_225
| ~ spl0_240 ),
inference(rat,[],[s776,s7108]) ).
cnf(s7632,plain,
( spl0_93
| ~ spl0_33
| spl0_60 ),
inference(rat,[],[s108,s6995]) ).
cnf(s7633,plain,
( spl0_63
| ~ spl0_85 ),
inference(rat,[],[s107,s7108]) ).
cnf(s7643,plain,
( spl0_70
| spl0_51
| ~ spl0_65 ),
inference(rat,[],[s72,s7108]) ).
cnf(s7649,plain,
( ~ spl0_27
| ~ spl0_12 ),
inference(rat,[],[s65,s7108]) ).
cnf(s7651,plain,
( ~ spl0_2
| spl0_50
| ~ spl0_38
| ~ spl0_7 ),
inference(rat,[],[s40,s7108]) ).
cnf(s7652,plain,
( ~ spl0_38
| ~ spl0_12
| ~ spl0_25 ),
inference(rat,[],[s29,s7108]) ).
cnf(s7653,plain,
( ~ spl0_4
| spl0_30 ),
inference(rat,[],[s23,s6792]) ).
cnf(s7655,plain,
( ~ spl0_12
| spl0_9
| spl0_5 ),
inference(rat,[],[s16,s7108]) ).
cnf(s7656,plain,
( spl0_2
| spl0_3 ),
inference(rat,[],[s1,s6792]) ).
cnf(s7658,plain,
( ~ spl0_11
| ~ spl0_18
| ~ spl0_12
| ~ spl0_262
| ~ spl0_25 ),
inference(rat,[],[s6023,s7108]) ).
cnf(s7663,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_9
| ~ spl0_60
| ~ spl0_25 ),
inference(rat,[],[s6030,s7108]) ).
cnf(s7665,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_25
| spl0_234
| ~ spl0_12
| ~ spl0_60 ),
inference(rat,[],[s6032,s7108]) ).
cnf(s7670,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_98
| ~ spl0_9
| ~ spl0_18
| ~ spl0_25 ),
inference(rat,[],[s6058,s6995,s7108]) ).
cnf(s7676,plain,
( spl0_272
| ~ spl0_215
| ~ spl0_220
| ~ spl0_212
| ~ spl0_242
| ~ spl0_224
| ~ spl0_259 ),
inference(rat,[],[s6096,s6995]) ).
cnf(s7713,plain,
( ~ spl0_85
| ~ spl0_159
| ~ spl0_64 ),
inference(rat,[],[s6603,s7108]) ).
cnf(s7726,plain,
( ~ spl0_399
| ~ spl0_159
| ~ spl0_64
| ~ spl0_70 ),
inference(rat,[],[s6643,s7108]) ).
cnf(s7734,plain,
( ~ spl0_224
| ~ spl0_60
| ~ spl0_98 ),
inference(rat,[],[s6684,s6995]) ).
cnf(s7738,plain,
( ~ spl0_253
| ~ spl0_234
| ~ spl0_267 ),
inference(rat,[],[s6721,s7108]) ).
cnf(s7741,plain,
( ~ spl0_399
| ~ spl0_12
| ~ spl0_64
| ~ spl0_386 ),
inference(rat,[],[s6743,s7108,s6995]) ).
cnf(s7746,plain,
( ~ spl0_12
| ~ spl0_355
| ~ spl0_98
| ~ spl0_14
| ~ spl0_285
| spl0_267 ),
inference(rat,[],[s6819,s7108]) ).
cnf(s7749,plain,
( ~ spl0_355
| spl0_240
| ~ spl0_98
| ~ spl0_14
| spl0_262
| spl0_267 ),
inference(rat,[],[s6832,s7108]) ).
cnf(s7755,plain,
( spl0_70
| spl0_462
| spl0_43
| ~ spl0_65
| spl0_234
| ~ spl0_414 ),
inference(rat,[],[s6977,s7108]) ).
cnf(s7757,plain,
( ~ spl0_218
| ~ spl0_270
| spl0_271
| ~ spl0_10
| ~ spl0_70 ),
inference(rat,[],[s4930,s5668,s2873]) ).
cnf(s7758,plain,
( ~ spl0_213
| spl0_297
| ~ spl0_415
| ~ spl0_59
| spl0_262 ),
inference(rat,[],[s5266,s5875,s5681,s6282]) ).
cnf(s7759,plain,
( spl0_236
| ~ spl0_212
| ~ spl0_215
| ~ spl0_2
| ~ spl0_10
| spl0_43
| ~ spl0_415
| ~ spl0_59
| ~ spl0_70
| ~ spl0_267
| ~ spl0_285 ),
inference(rat,[],[s7757,s6473,s520,s3925,s3922,s6376,s6471,s2828,s1107,s910]) ).
cnf(s7760,plain,
( ~ spl0_219
| spl0_297
| ~ spl0_415
| ~ spl0_59
| ~ spl0_285 ),
inference(rat,[],[s2828,s638,s5639]) ).
cnf(s7761,plain,
( ~ spl0_224
| ~ spl0_253
| spl0_60
| ~ spl0_25
| spl0_262 ),
inference(rat,[],[s4015,s7138,s7266,s4242,s1742,s6473,s2281,s3925,s1708,s6376,s7760,s5906,s697,s7759,s6495,s7758,s6475,s7656,s6757,s2475,s5247,s5476,s933,s4,s28,s6357,s3496,s7179,s3579,s7313,s19,s7652,s7649,s7171,s5221,s2096,s4968,s2021,s5262,s6407,s7191,s4096,s7237,s7216,s3693,s7127,s5982,s7221,s6402,s6497,s1542,s7130,s7114,s6282,s7182,s7738,s7126]) ).
cnf(s7762,plain,
( ~ spl0_12
| spl0_224
| ~ spl0_253
| spl0_60
| ~ spl0_98
| spl0_14
| ~ spl0_25
| ~ spl0_285 ),
inference(rat,[],[s4272,s2380,s5572,s6379,s7179,s4358,s218,s5272,s6357,s3705,s7255,s6409,s2702,s106,s4,s28,s7670,s19,s7652,s7649,s210,s6364,s7185,s5982]) ).
cnf(s7763,plain,
( ~ spl0_253
| spl0_60
| ~ spl0_25
| spl0_262 ),
inference(rat,[],[s4054,s5228,s6784,s7158,s5595,s4893,s6329,s7762,s7761,s7127,s7126,s5982,s7114,s6282]) ).
cnf(s7764,plain,
( ~ spl0_219
| spl0_356
| ~ spl0_12
| spl0_253
| ~ spl0_18
| ~ spl0_25 ),
inference(rat,[],[s7264,s7274,s2585,s5638,s6363,s28,s7652]) ).
cnf(s7765,plain,
( ~ spl0_242
| ~ spl0_220
| ~ spl0_405
| ~ spl0_444
| ~ spl0_297
| ~ spl0_57 ),
inference(rat,[],[s911,s974,s6373,s2614,s4398]) ).
cnf(s7766,plain,
( ~ spl0_12
| ~ spl0_297
| ~ spl0_240
| spl0_253
| spl0_60
| ~ spl0_267
| spl0_97
| spl0_41
| ~ spl0_18
| ~ spl0_25
| ~ spl0_285 ),
inference(rat,[],[s4015,s6280,s7138,s2054,s5687,s6495,s3925,s6473,s7757,s520,s3922,s10,s6475,s1695,s3305,s2633,s7244,s697,s1107,s7765,s6376,s7764,s7656,s2435,s6379,s7755,s7179,s106,s7255,s3715,s4427,s7185,s6364,s6409,s3382,s7237,s4,s3750,s1734,s5466,s28,s3579,s3496,s7670,s7292,s19,s7652,s7649,s3693,s7127,s6402,s7270,s6363]) ).
cnf(s7767,plain,
( spl0_60
| ~ spl0_25
| spl0_262 ),
inference(rat,[],[s3750,s6409,s2805,s3994,s2759,s6372,s5228,s4968,s7158,s5221,s4893,s7766,s2471,s6943,s7763,s6402,s15,s7177,s7216,s3577,s7127,s5982,s7221,s7130,s7126,s7114,s6282]) ).
cnf(s7768,plain,
( ~ spl0_253
| ~ spl0_25
| spl0_262 ),
inference(rat,[],[s4054,s5228,s6784,s7158,s5595,s4893,s6329,s7649,s103,s5640,s7738,s6364,s7734,s1679,s3497,s7767,s3693,s7127,s5982,s7130,s7126,s7114,s6282]) ).
cnf(s7769,plain,
( ~ spl0_12
| ~ spl0_240
| ~ spl0_60
| spl0_64
| ~ spl0_98
| spl0_14
| ~ spl0_25 ),
inference(rat,[],[s7665,s7125,s7292,s19,s7652,s7649]) ).
cnf(s7770,plain,
( ~ spl0_25
| spl0_262 ),
inference(rat,[],[s5640,s1856,s2805,s4065,s2759,s5228,s7158,s4893,s7769,s5435,s2470,s915,s2471,s6943,s7768,s1679,s6364,s3497,s7734,s7767,s7130,s3577,s3693,s7127,s7126,s15,s5982,s7114,s6282]) ).
cnf(s7771,plain,
( spl0_240
| ~ spl0_253
| spl0_60
| spl0_267
| ~ spl0_14
| spl0_262 ),
inference(rat,[],[s7076,s3059,s5564,s4624,s6281,s7117,s1542,s6287,s479,s4365,s7224,s865,s1724,s5568,s510,s6282,s3456,s2856,s7770]) ).
cnf(s7772,plain,
( ~ spl0_224
| ~ spl0_240
| ~ spl0_162
| ~ spl0_253
| ~ spl0_234
| ~ spl0_98
| ~ spl0_14 ),
inference(rat,[],[s2089,s6379,s2321,s6407,s4693,s960,s7267,s4977,s7370,s28,s7238,s2782]) ).
cnf(s7773,plain,
( ~ spl0_253
| spl0_60
| spl0_267
| ~ spl0_14
| spl0_262 ),
inference(rat,[],[s7171,s5523,s4403,s4454,s2240,s6364,s7772,s2756,s7238,s2782,s7771,s1544,s1542,s6287,s479,s4626,s4365,s7224,s865,s2856,s7117,s1724,s5568,s510,s7770,s6282,s3456]) ).
cnf(s7774,plain,
( spl0_60
| spl0_267
| ~ spl0_14
| spl0_262 ),
inference(rat,[],[s5974,s2048,s4693,s960,s4977,s2863,s4429,s4990,s2716,s2756,s21,s7238,s4456,s6329,s2782,s7370,s7746,s7749,s6363,s7773,s6402,s7117,s1724,s5568,s510,s7770,s6282,s3456]) ).
cnf(s7775,plain,
( spl0_85
| spl0_384
| ~ spl0_56
| ~ spl0_75
| ~ spl0_414
| ~ spl0_234 ),
inference(rat,[],[s2782,s7238,s5474,s2756,s1197,s4403]) ).
cnf(s7776,plain,
( spl0_267
| ~ spl0_14
| spl0_262 ),
inference(rat,[],[s7749,s6363,s7144,s7171,s7775,s1506,s4717,s4427,s939,s2309,s6407,s2240,s6364,s7030,s7734,s7774,s1724,s5568,s7117,s510,s3456,s6282,s7770]) ).
cnf(s7777,plain,
( ~ spl0_253
| ~ spl0_267
| ~ spl0_14
| ~ spl0_2 ),
inference(rat,[],[s4363,s540,s7172,s7738]) ).
cnf(s7778,plain,
( spl0_98
| spl0_60
| ~ spl0_14
| spl0_262 ),
inference(rat,[],[s2029,s1856,s2913,s6007,s6672,s939,s3256,s5572,s5128,s2096,s6379,s7231,s2846,s5125,s6061,s5345,s540,s6296,s6363,s3696,s7777,s7776,s2,s2856,s7770,s3540,s7168,s6282,s6402]) ).
cnf(s7779,plain,
( ~ spl0_240
| ~ spl0_224
| spl0_60
| ~ spl0_14
| spl0_262 ),
inference(rat,[],[s2716,s2048,s21,s7643,s7224,s1540,s2913,s6372,s5572,s2020,s6379,s6541,s4693,s7134,s6329,s4977,s6678,s6363,s7777,s7776,s2,s2856,s7770,s3540,s7168,s6282,s6402,s7778]) ).
cnf(s7780,plain,
( spl0_234
| spl0_60
| ~ spl0_14
| spl0_262 ),
inference(rat,[],[s6007,s1856,s939,s2029,s5128,s6379,s7231,s2846,s6329,s3633,s4960,s2305,s5564,s2338,s6281,s7779,s2863,s5637,s3635,s6363,s1506,s4714,s7777,s7776,s2,s2856,s7770,s3540,s7168,s6282,s7209]) ).
cnf(s7781,plain,
( ~ spl0_240
| spl0_60
| ~ spl0_14
| spl0_262 ),
inference(rat,[],[s4990,s4429,s2756,s21,s6364,s7238,s6329,s4456,s7779,s2782,s6678,s7370,s7777,s7776,s2,s2856,s7770,s3540,s7168,s6282,s7778,s7780]) ).
cnf(s7782,plain,
( spl0_60
| ~ spl0_14
| spl0_262 ),
inference(rat,[],[s2029,s1856,s2913,s6007,s6672,s5532,s939,s5572,s1217,s5128,s6379,s7231,s2846,s6329,s4960,s2305,s5564,s2338,s6281,s7781,s7780,s6363,s1506,s4714,s7777,s7776,s2,s2856,s7770,s3540,s7168,s6282]) ).
cnf(s7783,plain,
( ~ spl0_219
| ~ spl0_12
| spl0_356
| spl0_297
| ~ spl0_355
| ~ spl0_14
| ~ spl0_285 ),
inference(rat,[],[s3478,s2793,s5639,s5638]) ).
cnf(s7784,plain,
( ~ spl0_216
| ~ spl0_242
| spl0_305
| spl0_240
| spl0_256
| spl0_98
| ~ spl0_14 ),
inference(rat,[],[s2822,s2920,s5906,s6279,s5508,s4836]) ).
cnf(s7785,plain,
( spl0_98
| ~ spl0_14
| spl0_262 ),
inference(rat,[],[s4216,s2798,s5681,s5687,s6495,s7676,s6475,s7784,s2210,s1107,s3616,s5441,s5439,s4048,s719,s6376,s7783,s2203,s2782,s1856,s7238,s6007,s2756,s3090,s5291,s7221,s2288,s6672,s939,s5128,s6379,s7231,s6010,s2846,s5125,s2701,s6061,s5556,s5345,s540,s934,s7147,s6296,s2743,s6363,s3696,s7777,s7776,s2,s2856,s7770,s3540,s7168,s6282,s6407,s7030,s7782]) ).
cnf(s7786,plain,
( ~ spl0_14
| spl0_262 ),
inference(rat,[],[s6394,s7144,s5470,s5527,s27,s5125,s14,s2846,s7231,s4614,s5489,s5674,s5635,s6364,s7734,s7785,s6407,s7030,s7782,s6363,s4714,s7777,s7776,s2,s2856,s7770,s3540,s7168,s6282]) ).
cnf(s7787,plain,
( spl0_267
| spl0_262 ),
inference(rat,[],[s2782,s4624,s1724,s5568,s510,s3456,s6282,s7177,s7238,s5228,s7158,s7136,s7770,s5982,s7786]) ).
cnf(s7788,plain,
( ~ spl0_182
| spl0_262 ),
inference(rat,[],[s7079,s3112,s2470,s2,s2856,s7770,s3540,s7168,s6282,s7787]) ).
cnf(s7789,plain,
( ~ spl0_240
| spl0_262 ),
inference(rat,[],[s6541,s956,s5595,s4065,s6329,s6409,s3579,s7734,s7237,s915,s3750,s2471,s2782,s4054,s15,s7238,s2766,s7651,s5228,s7158,s2,s2856,s3540,s7168,s6282,s10,s5982,s2050,s7786,s7136,s7770,s7787,s7788]) ).
cnf(s7790,plain,
( spl0_60
| spl0_262 ),
inference(rat,[],[s5523,s7128,s1540,s7079,s1542,s6287,s6402,s7182,s4626,s479,s4365,s4442,s7134,s3633,s5564,s6281,s7738,s6943,s7789,s15,s3693,s7787,s2766,s7651,s5228,s7158,s2,s2856,s3540,s7168,s6282,s10,s5982,s2050,s7786,s7136,s7770]) ).
cnf(s7791,plain,
( ~ spl0_259
| spl0_262 ),
inference(rat,[],[s5269,s6379,s1209,s7171,s7079,s5297,s7787,s6281,s6943,s7789,s15,s7734,s7790,s2766,s7651,s5228,s7158,s2,s2856,s3540,s7168,s6282,s10,s5982,s2050,s7786,s7136,s7770]) ).
cnf(s7792,plain,
spl0_262,
inference(rat,[],[s5474,s2316,s6407,s3198,s481,s7306,s6369,s5269,s4332,s6357,s7791,s6364,s2381,s7734,s7790,s7134,s3633,s7738,s5564,s6943,s6281,s7789,s7787,s2766,s7651,s2759,s5228,s10,s3547,s2050,s7158,s7177,s15,s5982,s7786,s2,s7136,s2856,s7770,s3540,s7168,s6282]) ).
cnf(s7793,plain,
( spl0_60
| ~ spl0_253
| ~ spl0_14
| ~ spl0_260 ),
inference(rat,[],[s5983,s7655,s6541,s2435,s2020,s6379,s2570,s7211,s3669,s939,s7653,s3746,s919,s7135,s6296,s6882,s3105,s7172,s6407,s7233,s3236,s7792]) ).
cnf(s7794,plain,
( ~ spl0_12
| ~ spl0_60
| ~ spl0_25
| spl0_234 ),
inference(rat,[],[s4,s7665,s7663,s19,s7649]) ).
cnf(s7795,plain,
( ~ spl0_224
| ~ spl0_25
| ~ spl0_60
| spl0_234 ),
inference(rat,[],[s3650,s939,s2229,s6070,s7792]) ).
cnf(s7796,plain,
( ~ spl0_253
| ~ spl0_14
| spl0_267 ),
inference(rat,[],[s4614,s2570,s4914,s1856,s2412,s7211,s3650,s6071,s4430,s6364,s7795,s7793,s3184,s6407,s7135,s7233,s6296,s3105,s3236,s6882,s7172,s3456,s510,s7792]) ).
cnf(s7797,plain,
( ~ spl0_3
| ~ spl0_38
| spl0_60
| ~ spl0_14
| spl0_267 ),
inference(rat,[],[s2020,s6541,s6379,s2570,s7211,s6329,s6407,s939,s7652,s7251,s3746,s3184,s3456,s510,s7792]) ).
cnf(s7798,plain,
( ~ spl0_259
| ~ spl0_98 ),
inference(rat,[],[s3715,s7211,s7792]) ).
cnf(s7799,plain,
( spl0_234
| spl0_60
| ~ spl0_14
| spl0_267 ),
inference(rat,[],[s7180,s5128,s6038,s6357,s7798,s540,s7656,s7797,s4692,s5466,s3493,s2392,s1734,s3580,s2304,s6363,s7796,s510]) ).
cnf(s7800,plain,
( spl0_98
| spl0_60
| ~ spl0_14
| spl0_267 ),
inference(rat,[],[s4570,s5514,s3,s760,s6329,s2782,s7652,s7238,s4992,s6407,s7251,s7136,s4966,s7217,s4704,s5594,s6296,s510,s6363,s7796,s7799]) ).
cnf(s7801,plain,
( ~ spl0_12
| ~ spl0_98
| spl0_384
| ~ spl0_355
| ~ spl0_14 ),
inference(rat,[],[s5128,s2338,s7231,s6678,s2846,s6357,s7798]) ).
cnf(s7802,plain,
( spl0_85
| ~ spl0_98
| ~ spl0_234
| spl0_60
| spl0_253 ),
inference(rat,[],[s3968,s21,s7632,s2048,s4456,s4977,s960,s7370,s1178,s2338,s5128,s6379,s1506,s4714,s6402,s6357,s3276,s7798,s6363]) ).
cnf(s7803,plain,
( ~ spl0_240
| ~ spl0_8
| ~ spl0_98
| ~ spl0_234
| spl0_60
| spl0_253 ),
inference(rat,[],[s4990,s4429,s2756,s21,s6364,s7238,s4456,s2064,s2782,s7370,s7633,s7802]) ).
cnf(s7804,plain,
( spl0_60
| ~ spl0_14
| spl0_267 ),
inference(rat,[],[s7278,s5248,s5598,s1544,s3896,s2443,s3574,s5230,s3178,s4624,s6281,s7803,s6329,s7801,s6357,s7798,s7800,s7799,s1506,s4714,s2304,s6363,s7796,s510]) ).
cnf(s7805,plain,
( spl0_224
| ~ spl0_511
| ~ spl0_466
| ~ spl0_56
| spl0_253 ),
inference(rat,[],[s4614,s7180,s5489,s7221,s5635,s3090,s6364]) ).
cnf(s7806,plain,
( spl0_98
| ~ spl0_14
| spl0_267 ),
inference(rat,[],[s2782,s7238,s4624,s6719,s3574,s1542,s6357,s1544,s5353,s3650,s3383,s4727,s2229,s7795,s7805,s4106,s7136,s7217,s5556,s5594,s6296,s2304,s6363,s7796,s510,s6407,s7030,s7804,s7792]) ).
cnf(s7807,plain,
( ~ spl0_14
| spl0_267 ),
inference(rat,[],[s5111,s5103,s5248,s6364,s6357,s7734,s7798,s7806,s7030,s7804,s6363,s7796]) ).
cnf(s7808,plain,
( spl0_98
| spl0_60
| spl0_267 ),
inference(rat,[],[s6438,s2299,s6038,s6369,s7741,s2375,s2393,s6409,s861,s7265,s2702,s2388,s5563,s4,s6659,s5228,s2720,s6281,s19,s7652,s7243,s7272,s7649,s7658,s4893,s7136,s7217,s5594,s6296,s510,s5982,s7807,s6402,s7792]) ).
cnf(s7809,plain,
( spl0_234
| spl0_60
| spl0_267 ),
inference(rat,[],[s5228,s7158,s2759,s4893,s7713,s7241,s2096,s2021,s2415,s6407,s7278,s5598,s2438,s1544,s4858,s6038,s3580,s510,s5982,s7807,s6402,s6357,s7798,s7808]) ).
cnf(s7810,plain,
( ~ spl0_224
| ~ spl0_84
| ~ spl0_64
| ~ spl0_253
| ~ spl0_234
| ~ spl0_98
| spl0_60 ),
inference(rat,[],[s2660,s2048,s21,s6407,s960,s4456,s7267,s2237,s6402,s1544]) ).
cnf(s7811,plain,
( ~ spl0_12
| ~ spl0_253
| spl0_60
| spl0_267 ),
inference(rat,[],[s7741,s1217,s6547,s5532,s7810,s6379,s7241,s5596,s4624,s6281,s4889,s510,s7177,s7807,s6357,s7798,s7808,s7809,s7792]) ).
cnf(s7812,plain,
( spl0_12
| spl0_60
| spl0_267 ),
inference(rat,[],[s4624,s3574,s2782,s3198,s7238,s2759,s7306,s5228,s6541,s7158,s5595,s4893,s6329,s510,s5982,s7177,s7807,s6357,s7798,s7808,s7809]) ).
cnf(s7813,plain,
( spl0_60
| spl0_267 ),
inference(rat,[],[s7241,s5596,s7802,s4624,s7811,s7292,s7812,s7809,s6357,s7798,s7808,s510,s7177,s7807]) ).
cnf(s7814,plain,
( ~ spl0_3
| spl0_234
| spl0_267 ),
inference(rat,[],[s7794,s7137,s3184,s3456,s5982,s7807,s7813]) ).
cnf(s7815,plain,
( spl0_234
| spl0_267 ),
inference(rat,[],[s1077,s3334,s4082,s2028,s6495,s4914,s5512,s4614,s4479,s7713,s7651,s2759,s10,s5228,s2050,s7158,s6407,s7136,s7278,s5353,s5598,s2438,s3844,s1544,s1190,s4430,s4858,s6038,s2309,s6364,s6357,s7734,s7798,s540,s7656,s7814,s1724,s3580,s3456,s510,s5982,s7807,s7813,s7792]) ).
cnf(s7816,plain,
( ~ spl0_413
| spl0_267 ),
inference(rat,[],[s2388,s6363,s5228,s2720,s2375,s7652,s7243,s4893,s7136,s510,s5982,s7807,s7815,s7792]) ).
cnf(s7817,plain,
spl0_267,
inference(rat,[],[s5980,s7278,s5474,s1856,s1197,s2372,s7713,s1544,s2373,s5596,s6364,s6357,s7734,s7798,s5563,s4624,s760,s6281,s2782,s7238,s2759,s10,s5228,s2050,s7158,s7816,s7815,s7813,s7177,s5982,s1507,s7807,s510]) ).
cnf(s7820,plain,
( ~ spl0_210
| spl0_470
| ~ spl0_292
| ~ spl0_214
| ~ spl0_355
| ~ spl0_29
| ~ spl0_27 ),
inference(rat,[],[s3052,s4018,s4326]) ).
cnf(s7821,plain,
( ~ spl0_218
| ~ spl0_212
| spl0_341
| spl0_346
| spl0_305
| spl0_272
| ~ spl0_240
| ~ spl0_11
| ~ spl0_9
| spl0_415
| spl0_70
| ~ spl0_29
| ~ spl0_27
| ~ spl0_3 ),
inference(rat,[],[s7156,s520,s5906,s4220,s4242,s3052,s7242,s977,s6477,s2432,s1030,s7183,s5467,s4222,s7227,s6338,s4227,s6329,s7649]) ).
cnf(s7822,plain,
( ~ spl0_212
| spl0_341
| spl0_346
| spl0_305
| spl0_272
| ~ spl0_215
| ~ spl0_240
| ~ spl0_11
| ~ spl0_9
| spl0_415
| spl0_356
| spl0_70
| ~ spl0_29
| ~ spl0_27
| ~ spl0_3 ),
inference(rat,[],[s5638,s6474,s4182,s3925,s6473,s7821,s6363,s7182,s7817]) ).
cnf(s7823,plain,
( spl0_98
| spl0_234
| spl0_60 ),
inference(rat,[],[s3052,s977,s5683,s6477,s3911,s5409,s3959,s5716,s7149,s4691,s5687,s6495,s7822,s2290,s1091,s3258,s5054,s6496,s7820,s2280,s2210,s1034,s5052,s6475,s6913,s4990,s6966,s4,s5104,s2756,s3276,s6357,s4065,s6007,s956,s2570,s5116,s5218,s4989,s6476,s6497,s5033,s1542,s2288,s7110,s7805,s2701,s1506,s5345,s5556,s6363,s4714,s4839,s2021,s7182,s6407,s2496,s4106,s7251,s5982,s7137,s6329,s7649,s21,s5524,s7289,s6793,s2856,s3669,s7135,s7147,s6296,s6402,s210,s7653,s919,s7817,s7792]) ).
cnf(s7824,plain,
( spl0_85
| ~ spl0_240
| ~ spl0_14
| ~ spl0_98
| spl0_60 ),
inference(rat,[],[s1540,s7643,s2913,s2048,s2856,s3968,s7251,s7632,s6372,s4977,s2020,s1178,s5572,s6541,s5128,s6379,s6402,s21,s6049,s6357,s3276,s7798,s6329,s7134,s7801,s6363,s1506,s4714,s6882,s7792,s7817]) ).
cnf(s7825,plain,
( ~ spl0_240
| ~ spl0_14
| ~ spl0_98
| spl0_60 ),
inference(rat,[],[s3994,s5248,s1856,s2756,s5111,s4991,s4990,s5103,s4429,s6364,s1185,s4693,s7824,s6402,s21,s6049,s6357,s7798,s6329,s7801,s6363,s1506,s4714,s6882,s7817,s7792]) ).
cnf(s7826,plain,
( ~ spl0_14
| spl0_234
| spl0_60 ),
inference(rat,[],[s479,s6287,s4365,s2856,s1542,s7251,s3198,s5248,s2759,s7306,s3896,s2756,s5128,s5230,s6966,s2338,s6281,s7825,s1506,s6363,s4714,s6882,s6049,s6357,s7798,s7823,s7792,s7817]) ).
cnf(s7827,plain,
( ~ spl0_253
| ~ spl0_240
| spl0_14 ),
inference(rat,[],[s7158,s4893,s5228,s4889,s4054,s5982,s7792,s7817]) ).
cnf(s7828,plain,
( ~ spl0_65
| spl0_53
| ~ spl0_38
| ~ spl0_85
| ~ spl0_240
| spl0_234 ),
inference(rat,[],[s5640,s6364,s1856,s3717,s3994,s481,s7817]) ).
cnf(s7829,plain,
( ~ spl0_240
| spl0_493
| spl0_14
| spl0_43
| ~ spl0_292
| spl0_234
| ~ spl0_57 ),
inference(rat,[],[s7652,s2856,s5221,s6368,s4968,s4964,s6407,s7828,s1679,s7221,s3198,s2759,s7306,s5466,s5128,s6363,s7827,s5101,s5982,s1734,s7177]) ).
cnf(s7830,plain,
( ~ spl0_413
| ~ spl0_18 ),
inference(rat,[],[s7649,s5524,s4893,s7136,s7817,s7792]) ).
cnf(s7831,plain,
( ~ spl0_8
| spl0_85
| spl0_14
| spl0_60 ),
inference(rat,[],[s6541,s5595]) ).
cnf(s7832,plain,
( spl0_85
| spl0_234
| spl0_60 ),
inference(rat,[],[s1540,s1542,s6372,s6287,s4964,s479,s6368,s4365,s2856,s7652,s6329,s7831,s7182,s861,s5128,s6402,s6049,s5101,s6357,s7798,s7823,s1734,s7177,s5228,s7158,s7830,s5982,s7826,s7817,s7792]) ).
cnf(s7833,plain,
( ~ spl0_253
| spl0_234
| spl0_60 ),
inference(rat,[],[s7191,s6372,s4096,s5262,s2863,s2344,s5640,s6409,s1856,s4350,s4077,s6402,s1679,s7713,s2759,s5228,s7158,s7830,s5982,s7826,s7832,s3498,s3693,s7823,s7817,s7792]) ).
cnf(s7834,plain,
( spl0_234
| spl0_60 ),
inference(rat,[],[s7655,s7137,s2,s7656,s7651,s4479,s5512,s6495,s6936,s481,s5248,s3896,s1676,s5230,s6966,s3276,s6363,s7833,s7832,s10,s5228,s2050,s7158,s7830,s6281,s7829,s3382,s1734,s7270,s7177,s5982,s7826,s3498,s6357,s3693,s7798,s7823,s6402,s7653,s919,s7792,s7817]) ).
cnf(s7835,plain,
( spl0_259
| spl0_85
| spl0_60 ),
inference(rat,[],[s7370,s960,s1178,s2338,s3253,s5128,s3276,s6357,s6363,s18,s2573,s1506,s4714,s7147,s7802,s7738,s7834,s7817,s7792]) ).
cnf(s7836,plain,
( spl0_85
| ~ spl0_14
| spl0_60 ),
inference(rat,[],[s4444,s4365,s2846,s479,s2756,s7134,s6287,s5291,s2913,s1542,s7247,s7835,s2701,s7147,s5572,s7802,s6379,s6363,s7738,s2856,s2573,s7834,s7792,s7817]) ).
cnf(s7837,plain,
( ~ spl0_9
| ~ spl0_14
| spl0_60 ),
inference(rat,[],[s3253,s5476,s960,s2064,s2237,s2863,s4429,s21,s7176,s4990,s5124,s2856,s18,s2573,s7633,s7306,s6329,s2846,s7231,s6357,s2663,s7211,s2570,s7836,s210,s6363,s7738,s7834,s7817,s7792]) ).
cnf(s7838,plain,
( ~ spl0_14
| spl0_60 ),
inference(rat,[],[s479,s6287,s4365,s1542,s5225,s7713,s2765,s2759,s2756,s7837,s7836,s2856,s2573,s7834,s7792,s7817]) ).
cnf(s7839,plain,
spl0_60,
inference(rat,[],[s6287,s1542,s479,s7713,s4365,s7802,s6049,s2766,s2759,s7651,s5228,s10,s2050,s7158,s5982,s7838,s2,s7136,s2856,s2573,s7738,s7834,s7653,s919,s7792,s7817]) ).
cnf(s7842,plain,
( ~ spl0_253
| ~ spl0_14 ),
inference(rat,[],[s3184,s7656,s2496,s7777,s7182,s6984,s7817,s7839]) ).
cnf(s7843,plain,
( spl0_224
| spl0_517
| ~ spl0_14 ),
inference(rat,[],[s5635,s5478,s6364,s6407,s7030,s7842,s7839]) ).
cnf(s7844,plain,
( ~ spl0_224
| spl0_43
| spl0_234 ),
inference(rat,[],[s7135,s3184,s6296,s7795,s7734,s7839]) ).
cnf(s7845,plain,
( ~ spl0_14
| spl0_234 ),
inference(rat,[],[s5111,s5103,s5248,s6357,s7211,s2570,s4614,s7843,s6364,s7844,s6363,s7842,s6407,s7030,s6984,s7792,s7839]) ).
cnf(s7846,plain,
( ~ spl0_253
| spl0_85
| spl0_234 ),
inference(rat,[],[s2855,s5297,s7794,s1209,s6329,s7726,s5595,s1217,s5532,s7734,s6281,s1843,s4054,s7182,s10,s2049,s2759,s3737,s5228,s7158,s7830,s5982,s7845,s6379,s7839,s7817]) ).
cnf(s7847,plain,
( spl0_85
| spl0_234 ),
inference(rat,[],[s5556,s4029,s6296,s7798,s939,s5128,s6363,s7846,s7830,s5982,s1734,s7177,s7845]) ).
cnf(s7848,plain,
( ~ spl0_253
| spl0_234 ),
inference(rat,[],[s1679,s5640,s3498,s6364,s1856,s3693,s7734,s4350,s1843,s4077,s10,s2049,s3737,s7713,s7847,s2759,s5228,s7158,s7830,s5982,s7845,s7792,s7817,s7839]) ).
cnf(s7849,plain,
( spl0_98
| spl0_234 ),
inference(rat,[],[s5556,s4029,s6296,s7830,s5982,s7845,s7848]) ).
cnf(s7850,plain,
spl0_234,
inference(rat,[],[s4479,s5512,s7651,s6495,s7656,s6936,s7137,s481,s5208,s5248,s5111,s5103,s3307,s6364,s6357,s7734,s7798,s7849,s6363,s7848,s2288,s7713,s5318,s7847,s2759,s5228,s7158,s1734,s10,s2049,s7830,s7177,s5982,s7845,s7792,s7839]) ).
cnf(s7851,plain,
~ spl0_253,
inference(rat,[],[s7738,s7817,s7850]) ).
cnf(s7852,plain,
~ spl0_25,
inference(rat,[],[s2573,s7792,s7817,s7850]) ).
cnf(s7856,plain,
~ spl0_37,
inference(rat,[],[s4714,s7851]) ).
cnf(s7857,plain,
spl0_355,
inference(rat,[],[s6363,s7851]) ).
cnf(s7862,plain,
~ spl0_413,
inference(rat,[],[s7136,s7852]) ).
cnf(s7863,plain,
~ spl0_384,
inference(rat,[],[s1506,s7856]) ).
cnf(s7865,plain,
( ~ spl0_14
| spl0_85 ),
inference(rat,[],[s2754,s6017,s7238,s2209,s2782,s7370,s2338,s5128,s6357,s3650,s2229,s7843,s2020,s4614,s6407,s7030,s6379,s7850,s7863,s7857,s7839,s7792]) ).
cnf(s7866,plain,
spl0_85,
inference(rat,[],[s6438,s5128,s7798,s2338,s760,s2782,s7238,s5228,s10,s2050,s7158,s5982,s7865,s7857,s7863,s7850,s7862]) ).
cnf(s7868,plain,
spl0_63,
inference(rat,[],[s7633,s7866]) ).
cnf(s7872,plain,
~ spl0_14,
inference(rat,[],[s2064,s2384,s2863,s5230,s5103,s3896,s5111,s5248,s6357,s7211,s2570,s7030,s7868,s7850,s7857,s7851,s7792,s7866,s7839]) ).
cnf(s7873,plain,
spl0_18,
inference(rat,[],[s5982,s7872]) ).
cnf(s7875,plain,
~ spl0_41,
inference(rat,[],[s7177,s7872]) ).
cnf(s7879,plain,
~ spl0_179,
inference(rat,[],[s7158,s7862,s7872]) ).
cnf(s7880,plain,
~ spl0_19,
inference(rat,[],[s2050,s7862,s7872]) ).
cnf(s7882,plain,
spl0_7,
inference(rat,[],[s10,s7880,s7873]) ).
cnf(s7885,plain,
spl0_38,
inference(rat,[],[s5228,s7873,s7879]) ).
cnf(s7886,plain,
spl0_159,
inference(rat,[],[s2759,s7885]) ).
cnf(s7887,plain,
spl0_167,
inference(rat,[],[s7238,s7885]) ).
cnf(s7890,plain,
~ spl0_64,
inference(rat,[],[s7713,s7866,s7886]) ).
cnf(s7891,plain,
~ spl0_240,
inference(rat,[],[s2782,s7850,s7887]) ).
cnf(s7892,plain,
~ spl0_445,
inference(rat,[],[s2288,s7890]) ).
cnf(s7899,plain,
~ spl0_55,
inference(rat,[],[s2316,s7875,s7890]) ).
cnf(s7905,plain,
spl0_98,
inference(rat,[],[s760,s7882,s7891]) ).
cnf(s7906,plain,
~ spl0_356,
inference(rat,[],[s2338,s7863,s7891]) ).
cnf(s7914,plain,
~ spl0_259,
inference(rat,[],[s7798,s7905]) ).
cnf(s7915,plain,
~ spl0_224,
inference(rat,[],[s7734,s7839,s7905]) ).
cnf(s7916,plain,
~ spl0_45,
inference(rat,[],[s3693,s7817,s7905]) ).
cnf(s7921,plain,
spl0_292,
inference(rat,[],[s6357,s7914]) ).
cnf(s7923,plain,
spl0_414,
inference(rat,[],[s6364,s7915]) ).
cnf(s7924,plain,
~ spl0_294,
inference(rat,[],[s3307,s7892,s7915]) ).
cnf(s7928,plain,
~ spl0_43,
inference(rat,[],[s3498,s7792,s7916]) ).
cnf(s7937,plain,
~ spl0_56,
inference(rat,[],[s4535,s7899,s7891,s7923]) ).
cnf(s7939,plain,
~ spl0_3,
inference(rat,[],[s3184,s7852,s7928]) ).
cnf(s7947,plain,
spl0_65,
inference(rat,[],[s6372,s7937]) ).
cnf(s7948,plain,
spl0_2,
inference(rat,[],[s7656,s7939]) ).
cnf(s7954,plain,
spl0_166,
inference(rat,[],[s481,s7866,s7947]) ).
cnf(s7955,plain,
spl0_50,
inference(rat,[],[s7651,s7882,s7885,s7948]) ).
cnf(s7964,plain,
~ spl0_213,
inference(rat,[],[s6936,s7924,s7906,s7857,s7921,s7954]) ).
cnf(s7965,plain,
spl0_311,
inference(rat,[],[s4479,s7955]) ).
cnf(s7981,plain,
spl0_212,
inference(rat,[],[s6495,s7964]) ).
cnf(s7982,plain,
$false,
inference(rat,[],[s5512,s7905,s7792,s7981,s7965]) ).
thf(f65653,plain,
$false,
inference(avatar_sat_refutation,[],[s7982]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA155^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n020.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 19:06:20 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.37 % (1461550)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.69/0.37 % (1461556)lrs+10_16_si=on:nwc=1.5:random_seed=1923540341:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.69/0.37 % (1461555)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2222448785:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.69/0.37 % (1461557)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2377105887:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.69/0.37 % (1461558)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=127043715: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)
% 0.69/0.37 % (1461557)Instruction limit reached!
% 0.69/0.37 % (1461557)------------------------------
% 0.69/0.37 % (1461557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.37 % (1461557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.37 % (1461557)CaDiCaL version: 2.1.3
% 0.69/0.37 % (1461557)Termination reason: Instruction limit
% 0.69/0.37 % (1461557)Termination phase: Saturation
% 0.69/0.37 % (1461557)Time elapsed: 0.002 s
% 0.69/0.37 % (1461557)Peak memory usage: 12 MB
% 0.69/0.37 % (1461557)Instructions burned: 3 (million)
% 0.69/0.37 % (1461561)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.69/0.37 % (1461561)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
% 0.69/0.37 % (1461561)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=1679047778:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.69/0.37 % (1461560)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=665736066:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.69/0.37 % (1461556)Instruction limit reached!
% 0.69/0.37 % (1461556)------------------------------
% 0.69/0.37 % (1461556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.37 % (1461556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.37 % (1461556)CaDiCaL version: 2.1.3
% 0.69/0.37 % (1461556)Termination reason: Instruction limit
% 0.69/0.37 % (1461556)Termination phase: Saturation
% 0.69/0.37 % (1461556)Time elapsed: 0.010 s
% 0.69/0.37 % (1461556)Peak memory usage: 12 MB
% 0.69/0.37 % (1461556)Instructions burned: 19 (million)
% 0.69/0.37 % (1461559)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3628665797:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.69/0.37 % (1461566)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2385723722:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.69/0.37 % (1461566)Instruction limit reached!
% 0.69/0.37 % (1461566)------------------------------
% 0.69/0.37 % (1461566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.37 % (1461566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.37 % (1461566)CaDiCaL version: 2.1.3
% 0.69/0.37 % (1461566)Termination reason: Instruction limit
% 0.69/0.37 % (1461566)Termination phase: Saturation
% 0.69/0.37 % (1461566)Time elapsed: 0.002 s
% 0.69/0.37 % (1461566)Peak memory usage: 12 MB
% 0.69/0.37 % (1461566)Instructions burned: 3 (million)
% 0.69/0.37 % (1461559)Instruction limit reached!
% 0.69/0.37 % (1461559)------------------------------
% 0.69/0.37 % (1461559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.37 % (1461559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.37 % (1461559)CaDiCaL version: 2.1.3
% 0.69/0.37 % (1461559)Termination reason: Instruction limit
% 0.69/0.37 % (1461559)Termination phase: Saturation
% 0.69/0.37 % (1461559)Time elapsed: 0.016 s
% 0.69/0.37 % (1461559)Peak memory usage: 12 MB
% 0.69/0.37 % (1461559)Instructions burned: 24 (million)
% 0.69/0.37 % (1461570)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2242356396:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.69/0.41 % (1461555)Instruction limit reached!
% 0.69/0.41 % (1461555)------------------------------
% 0.69/0.41 % (1461555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.41 % (1461555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.41 % (1461555)CaDiCaL version: 2.1.3
% 0.69/0.41 % (1461555)Termination reason: Instruction limit
% 0.69/0.41 % (1461555)Termination phase: Saturation
% 0.69/0.41 % (1461555)Time elapsed: 0.037 s
% 0.69/0.41 % (1461555)Peak memory usage: 12 MB
% 0.69/0.41 % (1461555)Instructions burned: 90 (million)
% 0.69/0.41 % (1461570)Instruction limit reached!
% 0.69/0.41 % (1461570)------------------------------
% 0.69/0.41 % (1461570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.41 % (1461570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.41 % (1461570)CaDiCaL version: 2.1.3
% 0.69/0.41 % (1461570)Termination reason: Instruction limit
% 0.69/0.41 % (1461570)Termination phase: Saturation
% 0.69/0.41 % (1461570)Time elapsed: 0.006 s
% 0.69/0.41 % (1461570)Peak memory usage: 11 MB
% 0.69/0.41 % (1461570)Instructions burned: 5 (million)
% 0.69/0.41 % (1461572)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.69/0.41 % (1461572)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3445377684:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.69/0.41 % (1461560)Instruction limit reached!
% 0.69/0.41 % (1461560)------------------------------
% 0.69/0.41 % (1461560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.41 % (1461560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.41 % (1461560)CaDiCaL version: 2.1.3
% 0.69/0.41 % (1461560)Termination reason: Instruction limit
% 0.69/0.41 % (1461560)Termination phase: Saturation
% 0.69/0.41 % (1461560)Time elapsed: 0.038 s
% 0.69/0.41 % (1461560)Peak memory usage: 12 MB
% 0.69/0.41 % (1461560)Instructions burned: 75 (million)
% 0.69/0.41 % (1461572)Instruction limit reached!
% 0.69/0.41 % (1461572)------------------------------
% 0.69/0.41 % (1461572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.41 % (1461572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.41 % (1461572)CaDiCaL version: 2.1.3
% 0.69/0.41 % (1461572)Termination reason: Instruction limit
% 0.69/0.41 % (1461572)Termination phase: Saturation
% 0.69/0.41 % (1461572)Time elapsed: 0.005 s
% 0.69/0.41 % (1461572)Peak memory usage: 12 MB
% 0.69/0.41 % (1461572)Instructions burned: 8 (million)
% 0.69/0.41 % (1461561)Instruction limit reached!
% 0.69/0.41 % (1461561)------------------------------
% 0.69/0.41 % (1461561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.41 % (1461561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.41 % (1461561)CaDiCaL version: 2.1.3
% 0.69/0.41 % (1461561)Termination reason: Instruction limit
% 0.69/0.41 % (1461561)Termination phase: Saturation
% 0.69/0.41 % (1461561)Time elapsed: 0.052 s
% 0.69/0.41 % (1461561)Peak memory usage: 12 MB
% 0.69/0.41 % (1461561)Instructions burned: 158 (million)
% 0.69/0.41 % (1461573)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=200320600:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.69/0.41 % (1461575)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
% 0.69/0.41 % (1461575)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.69/0.41 % (1461579)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.69/0.41 % (1461575)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=323081805:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.69/0.41 % (1461579)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=1282389806:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.69/0.44 % (1461579)Instruction limit reached!
% 0.69/0.44 % (1461579)------------------------------
% 0.69/0.44 % (1461579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.44 % (1461579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.44 % (1461579)CaDiCaL version: 2.1.3
% 0.69/0.44 % (1461579)Termination reason: Instruction limit
% 0.69/0.44 % (1461579)Termination phase: Saturation
% 0.69/0.44 % (1461579)Time elapsed: 0.002 s
% 0.69/0.44 % (1461579)Peak memory usage: 11 MB
% 0.69/0.44 % (1461579)Instructions burned: 3 (million)
% 0.69/0.44 % (1461580)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=433473837:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.69/0.44 % (1461580)Refutation not found, incomplete strategy
% 0.69/0.44 % (1461580)------------------------------
% 0.69/0.44 % (1461580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.44 % (1461580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.44 % (1461580)CaDiCaL version: 2.1.3
% 0.69/0.44 % (1461580)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.44 % (1461580)Time elapsed: 0.0000 s
% 0.69/0.44 % (1461580)Peak memory usage: 11 MB
% 0.69/0.44 % (1461580)------------------------------
% 0.69/0.44 % (1461580)------------------------------
% 0.69/0.44 % (1461573)Instruction limit reached!
% 0.69/0.44 % (1461573)------------------------------
% 0.69/0.44 % (1461573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.44 % (1461573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.44 % (1461573)CaDiCaL version: 2.1.3
% 0.69/0.44 % (1461573)Termination reason: Instruction limit
% 0.69/0.44 % (1461573)Termination phase: Saturation
% 0.69/0.44 % (1461573)Time elapsed: 0.016 s
% 0.69/0.44 % (1461573)Peak memory usage: 12 MB
% 0.69/0.44 % (1461573)Instructions burned: 13 (million)
% 0.69/0.44 % (1461577)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=3597175767:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.69/0.44 % (1461578)lrs+10_1_si=on:cs=on:random_seed=3225277152:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.69/0.44 % (1461586)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2282783475:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.69/0.44 % (1461586)Refutation not found, incomplete strategy
% 0.69/0.44 % (1461586)------------------------------
% 0.69/0.44 % (1461586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.44 % (1461586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.44 % (1461586)CaDiCaL version: 2.1.3
% 0.69/0.44 % (1461586)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.44 % (1461586)Time elapsed: 0.0000 s
% 0.69/0.44 % (1461586)Peak memory usage: 11 MB
% 0.69/0.44 % (1461586)------------------------------
% 0.69/0.44 % (1461586)------------------------------
% 0.69/0.44 % (1461584)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1753609857:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.69/0.44 % (1461584)Refutation not found, incomplete strategy
% 0.69/0.44 % (1461584)------------------------------
% 0.69/0.44 % (1461584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.44 % (1461584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.44 % (1461584)CaDiCaL version: 2.1.3
% 0.69/0.44 % (1461584)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.44 % (1461584)Time elapsed: 0.001 s
% 0.69/0.44 % (1461584)Peak memory usage: 11 MB
% 0.69/0.44 % (1461584)------------------------------
% 0.69/0.44 % (1461584)------------------------------
% 0.69/0.44 % (1461578)Instruction limit reached!
% 0.69/0.44 % (1461578)------------------------------
% 0.69/0.44 % (1461578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.44 % (1461578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.44 % (1461578)CaDiCaL version: 2.1.3
% 0.69/0.44 % (1461578)Termination reason: Instruction limit
% 0.69/0.44 % (1461578)Termination phase: Saturation
% 0.69/0.44 % (1461578)Time elapsed: 0.009 s
% 0.69/0.44 % (1461578)Peak memory usage: 12 MB
% 0.69/0.44 % (1461578)Instructions burned: 9 (million)
% 0.69/0.48 % (1461591)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2081337936:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.69/0.48 % (1461591)Refutation not found, incomplete strategy
% 0.69/0.48 % (1461591)------------------------------
% 0.69/0.48 % (1461591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.48 % (1461591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.48 % (1461591)CaDiCaL version: 2.1.3
% 0.69/0.48 % (1461591)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.48 % (1461591)Time elapsed: 0.0000 s
% 0.69/0.48 % (1461591)Peak memory usage: 11 MB
% 0.69/0.48 % (1461591)------------------------------
% 0.69/0.48 % (1461591)------------------------------
% 0.69/0.48 % (1461575)Instruction limit reached!
% 0.69/0.48 % (1461575)------------------------------
% 0.69/0.48 % (1461575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.48 % (1461575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.48 % (1461575)CaDiCaL version: 2.1.3
% 0.69/0.48 % (1461575)Termination reason: Instruction limit
% 0.69/0.48 % (1461575)Termination phase: Saturation
% 0.69/0.48 % (1461575)Time elapsed: 0.030 s
% 0.69/0.48 % (1461575)Peak memory usage: 12 MB
% 0.69/0.48 % (1461575)Instructions burned: 30 (million)
% 0.69/0.48 % (1461587)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4161851468:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.69/0.48 % (1461596)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4242748214:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.69/0.48 % (1461593)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=941658544:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.69/0.48 % (1461587)Instruction limit reached!
% 0.69/0.48 % (1461587)------------------------------
% 0.69/0.48 % (1461587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.48 % (1461596)Instruction limit reached!
% 0.69/0.48 % (1461596)------------------------------
% 0.69/0.48 % (1461596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.48 % (1461587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.48 % (1461596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.48 % (1461587)CaDiCaL version: 2.1.3
% 0.69/0.48 % (1461596)CaDiCaL version: 2.1.3
% 0.69/0.48 % (1461587)Termination reason: Instruction limit
% 0.69/0.48 % (1461587)Termination phase: Saturation
% 0.69/0.48 % (1461596)Termination reason: Instruction limit
% 0.69/0.48 % (1461596)Termination phase: Saturation
% 0.69/0.48 % (1461587)Time elapsed: 0.009 s
% 0.69/0.48 % (1461596)Time elapsed: 0.007 s
% 0.69/0.48 % (1461587)Peak memory usage: 11 MB
% 0.69/0.48 % (1461596)Peak memory usage: 12 MB
% 0.69/0.48 % (1461587)Instructions burned: 14 (million)
% 0.69/0.48 % (1461596)Instructions burned: 29 (million)
% 0.69/0.48 % (1461593)Instruction limit reached!
% 0.69/0.48 % (1461593)------------------------------
% 0.69/0.48 % (1461593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.48 % (1461593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.48 % (1461593)CaDiCaL version: 2.1.3
% 0.69/0.48 % (1461593)Termination reason: Instruction limit
% 0.69/0.48 % (1461593)Termination phase: Saturation
% 0.69/0.48 % (1461593)Time elapsed: 0.008 s
% 0.69/0.48 % (1461593)Peak memory usage: 12 MB
% 0.69/0.48 % (1461593)Instructions burned: 15 (million)
% 0.69/0.48 % (1461603)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.69/0.48 % (1461603)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=1198629602:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.69/0.48 % (1461602)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.69/0.48 % (1461602)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.69/0.48 % (1461597)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3517372455:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.31/0.50 % (1461595)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3908537510: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)
% 1.31/0.50 % (1461595)Refutation not found, incomplete strategy
% 1.31/0.50 % (1461595)------------------------------
% 1.31/0.50 % (1461595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.50 % (1461595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.50 % (1461595)CaDiCaL version: 2.1.3
% 1.31/0.50 % (1461595)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.50 % (1461595)Time elapsed: 0.001 s
% 1.31/0.50 % (1461595)Peak memory usage: 11 MB
% 1.31/0.50 % (1461577)Instruction limit reached!
% 1.31/0.50 % (1461577)------------------------------
% 1.31/0.50 % (1461577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.50 % (1461577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.50 % (1461577)CaDiCaL version: 2.1.3
% 1.31/0.50 % (1461577)Termination reason: Instruction limit
% 1.31/0.50 % (1461577)Termination phase: Saturation
% 1.31/0.50 % (1461577)Time elapsed: 0.051 s
% 1.31/0.50 % (1461577)Peak memory usage: 12 MB
% 1.31/0.50 % (1461577)Instructions burned: 88 (million)
% 1.31/0.50 % (1461603)Instruction limit reached!
% 1.31/0.50 % (1461603)------------------------------
% 1.31/0.50 % (1461603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.50 % (1461603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.50 % (1461603)CaDiCaL version: 2.1.3
% 1.31/0.50 % (1461603)Termination reason: Instruction limit
% 1.31/0.50 % (1461603)Termination phase: Saturation
% 1.31/0.50 % (1461603)Time elapsed: 0.003 s
% 1.31/0.50 % (1461603)Peak memory usage: 12 MB
% 1.31/0.50 % (1461603)Instructions burned: 9 (million)
% 1.31/0.50 % (1461602)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=3231160328:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.31/0.50 % (1461595)------------------------------
% 1.31/0.50 % (1461595)------------------------------
% 1.31/0.50 % (1461602)Instruction limit reached!
% 1.31/0.50 % (1461602)------------------------------
% 1.31/0.50 % (1461602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.50 % (1461601)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1283732217:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.31/0.50 % (1461602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.50 % (1461602)CaDiCaL version: 2.1.3
% 1.31/0.50 % (1461602)Termination reason: Instruction limit
% 1.31/0.50 % (1461602)Termination phase: Saturation
% 1.31/0.50 % (1461602)Time elapsed: 0.009 s
% 1.31/0.50 % (1461602)Peak memory usage: 12 MB
% 1.31/0.50 % (1461602)Instructions burned: 15 (million)
% 1.31/0.50 % (1461597)Instruction limit reached!
% 1.31/0.50 % (1461597)------------------------------
% 1.31/0.50 % (1461597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.50 % (1461597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.50 % (1461597)CaDiCaL version: 2.1.3
% 1.31/0.50 % (1461597)Termination reason: Instruction limit
% 1.31/0.50 % (1461597)Termination phase: Saturation
% 1.31/0.50 % (1461597)Time elapsed: 0.015 s
% 1.31/0.50 % (1461597)Peak memory usage: 11 MB
% 1.31/0.50 % (1461597)Instructions burned: 23 (million)
% 1.31/0.50 % (1461610)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=107477733:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.31/0.50 % (1461607)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=1420676774:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.31/0.50 % (1461608)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3064024610:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.31/0.50 % (1461610)Instruction limit reached!
% 1.31/0.50 % (1461610)------------------------------
% 1.31/0.50 % (1461610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.54 % (1461610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.54 % (1461610)CaDiCaL version: 2.1.3
% 1.31/0.54 % (1461610)Termination reason: Instruction limit
% 1.31/0.54 % (1461610)Termination phase: Saturation
% 1.31/0.54 % (1461610)Time elapsed: 0.005 s
% 1.31/0.54 % (1461610)Peak memory usage: 11 MB
% 1.31/0.54 % (1461610)Instructions burned: 26 (million)
% 1.31/0.54 % (1461608)Instruction limit reached!
% 1.31/0.54 % (1461608)------------------------------
% 1.31/0.54 % (1461608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.54 % (1461608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.54 % (1461608)CaDiCaL version: 2.1.3
% 1.31/0.54 % (1461608)Termination reason: Instruction limit
% 1.31/0.54 % (1461608)Termination phase: Saturation
% 1.31/0.54 % (1461608)Time elapsed: 0.005 s
% 1.31/0.54 % (1461608)Peak memory usage: 12 MB
% 1.31/0.54 % (1461608)Instructions burned: 8 (million)
% 1.31/0.54 % (1461617)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3353647122:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.31/0.54 % (1461601)Instruction limit reached!
% 1.31/0.54 % (1461601)------------------------------
% 1.31/0.54 % (1461601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.54 % (1461601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.54 % (1461601)CaDiCaL version: 2.1.3
% 1.31/0.54 % (1461601)Termination reason: Instruction limit
% 1.31/0.54 % (1461601)Termination phase: Saturation
% 1.31/0.54 % (1461601)Time elapsed: 0.023 s
% 1.31/0.54 % (1461601)Peak memory usage: 12 MB
% 1.31/0.54 % (1461601)Instructions burned: 60 (million)
% 1.31/0.54 % (1461607)Instruction limit reached!
% 1.31/0.54 % (1461607)------------------------------
% 1.31/0.54 % (1461607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.54 % (1461607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.54 % (1461607)CaDiCaL version: 2.1.3
% 1.31/0.54 % (1461607)Termination reason: Instruction limit
% 1.31/0.54 % (1461607)Termination phase: Saturation
% 1.31/0.54 % (1461607)Time elapsed: 0.017 s
% 1.31/0.54 % (1461607)Peak memory usage: 12 MB
% 1.31/0.54 % (1461607)Instructions burned: 32 (million)
% 1.31/0.54 % (1461612)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1889034925:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.31/0.54 % (1461614)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3277671296:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.31/0.54 % (1461621)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.31/0.54 % (1461620)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3918593473:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.31/0.54 % (1461618)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3179313120:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.31/0.54 % (1461618)Refutation not found, incomplete strategy
% 1.31/0.54 % (1461618)------------------------------
% 1.31/0.54 % (1461618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.54 % (1461618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.54 % (1461618)CaDiCaL version: 2.1.3
% 1.31/0.54 % (1461618)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.54 % (1461618)Time elapsed: 0.001 s
% 1.31/0.54 % (1461618)Peak memory usage: 11 MB
% 1.31/0.54 % (1461621)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=917332140:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.31/0.54 % (1461618)------------------------------
% 1.31/0.54 % (1461618)------------------------------
% 1.31/0.54 % (1461617)Instruction limit reached!
% 1.31/0.54 % (1461617)------------------------------
% 1.31/0.54 % (1461617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.54 % (1461617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.54 % (1461617)CaDiCaL version: 2.1.3
% 1.31/0.54 % (1461617)Termination reason: Instruction limit
% 1.31/0.54 % (1461617)Termination phase: Saturation
% 1.99/0.60 % (1461617)Time elapsed: 0.029 s
% 1.99/0.60 % (1461617)Peak memory usage: 13 MB
% 1.99/0.60 % (1461617)Instructions burned: 148 (million)
% 1.99/0.60 % (1461621)Instruction limit reached!
% 1.99/0.60 % (1461621)------------------------------
% 1.99/0.60 % (1461621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.60 % (1461621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.60 % (1461621)CaDiCaL version: 2.1.3
% 1.99/0.60 % (1461621)Termination reason: Instruction limit
% 1.99/0.60 % (1461621)Termination phase: Saturation
% 1.99/0.60 % (1461621)Time elapsed: 0.006 s
% 1.99/0.60 % (1461621)Peak memory usage: 12 MB
% 1.99/0.60 % (1461621)Instructions burned: 8 (million)
% 1.99/0.60 % (1461628)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=880482845: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)
% 1.99/0.60 % (1461628)Refutation not found, incomplete strategy
% 1.99/0.60 % (1461628)------------------------------
% 1.99/0.60 % (1461628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.60 % (1461628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.60 % (1461628)CaDiCaL version: 2.1.3
% 1.99/0.60 % (1461628)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.60 % (1461628)Time elapsed: 0.0000 s
% 1.99/0.60 % (1461628)Peak memory usage: 11 MB
% 1.99/0.60 % (1461628)------------------------------
% 1.99/0.60 % (1461628)------------------------------
% 1.99/0.60 % (1461620)Instruction limit reached!
% 1.99/0.60 % (1461620)------------------------------
% 1.99/0.60 % (1461620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.60 % (1461620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.60 % (1461620)CaDiCaL version: 2.1.3
% 1.99/0.60 % (1461620)Termination reason: Instruction limit
% 1.99/0.60 % (1461620)Termination phase: Saturation
% 1.99/0.60 % (1461620)Time elapsed: 0.021 s
% 1.99/0.60 % (1461620)Peak memory usage: 12 MB
% 1.99/0.60 % (1461620)Instructions burned: 44 (million)
% 1.99/0.60 % (1461612)Instruction limit reached!
% 1.99/0.60 % (1461612)------------------------------
% 1.99/0.60 % (1461612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.60 % (1461612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.60 % (1461612)CaDiCaL version: 2.1.3
% 1.99/0.60 % (1461612)Termination reason: Instruction limit
% 1.99/0.60 % (1461612)Termination phase: Saturation
% 1.99/0.60 % (1461612)Time elapsed: 0.030 s
% 1.99/0.60 % (1461612)Peak memory usage: 12 MB
% 1.99/0.60 % (1461612)Instructions burned: 20 (million)
% 1.99/0.60 % (1461629)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.99/0.60 % (1461627)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=799460703:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.99/0.60 % (1461631)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3755838035:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.99/0.60 % (1461627)Refutation not found, incomplete strategy
% 1.99/0.60 % (1461627)------------------------------
% 1.99/0.60 % (1461627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.60 % (1461627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.60 % (1461627)CaDiCaL version: 2.1.3
% 1.99/0.60 % (1461627)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.60 % (1461627)Time elapsed: 0.001 s
% 1.99/0.60 % (1461627)Peak memory usage: 11 MB
% 1.99/0.60 % (1461627)------------------------------
% 1.99/0.60 % (1461627)------------------------------
% 1.99/0.60 % (1461629)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2435968931:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.99/0.60 % (1461629)Refutation not found, incomplete strategy
% 1.99/0.60 % (1461629)------------------------------
% 1.99/0.60 % (1461629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.60 % (1461629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.60 % (1461629)CaDiCaL version: 2.1.3
% 1.99/0.60 % (1461629)Termination reason: Refutation not found, incomplete strategy
% 2.37/0.67 % (1461629)Time elapsed: 0.001 s
% 2.37/0.67 % (1461629)Peak memory usage: 11 MB
% 2.37/0.67 % (1461629)Instructions burned: 2 (million)
% 2.37/0.67 % (1461629)------------------------------
% 2.37/0.67 % (1461629)------------------------------
% 2.37/0.67 % (1461631)Instruction limit reached!
% 2.37/0.67 % (1461631)------------------------------
% 2.37/0.67 % (1461631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.67 % (1461631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.67 % (1461631)CaDiCaL version: 2.1.3
% 2.37/0.67 % (1461631)Termination reason: Instruction limit
% 2.37/0.67 % (1461631)Termination phase: Saturation
% 2.37/0.67 % (1461631)Time elapsed: 0.006 s
% 2.37/0.67 % (1461631)Peak memory usage: 12 MB
% 2.37/0.67 % (1461631)Instructions burned: 23 (million)
% 2.37/0.67 % (1461639)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=598370683:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.37/0.67 % (1461639)Refutation not found, incomplete strategy
% 2.37/0.67 % (1461639)------------------------------
% 2.37/0.67 % (1461639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.67 % (1461639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.67 % (1461639)CaDiCaL version: 2.1.3
% 2.37/0.67 % (1461639)Termination reason: Refutation not found, incomplete strategy
% 2.37/0.67 % (1461639)Time elapsed: 0.0000 s
% 2.37/0.67 % (1461639)Peak memory usage: 11 MB
% 2.37/0.67 % (1461639)Instructions burned: 1 (million)
% 2.37/0.67 % (1461639)------------------------------
% 2.37/0.67 % (1461639)------------------------------
% 2.37/0.67 % (1461637)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=426344031:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.37/0.67 % (1461638)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=2290216258:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.37/0.67 % (1461641)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1072803812:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.37/0.67 % (1461633)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=104712594:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.37/0.67 % (1461632)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=207730094:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.37/0.67 % (1461632)Refutation not found, incomplete strategy
% 2.37/0.67 % (1461632)------------------------------
% 2.37/0.67 % (1461632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.67 % (1461632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.67 % (1461632)CaDiCaL version: 2.1.3
% 2.37/0.67 % (1461632)Termination reason: Refutation not found, incomplete strategy
% 2.37/0.67 % (1461632)Time elapsed: 0.002 s
% 2.37/0.67 % (1461632)Peak memory usage: 12 MB
% 2.37/0.67 % (1461632)Instructions burned: 3 (million)
% 2.37/0.67 % (1461632)------------------------------
% 2.37/0.67 % (1461632)------------------------------
% 2.37/0.67 % (1461641)Instruction limit reached!
% 2.37/0.67 % (1461641)------------------------------
% 2.37/0.67 % (1461641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.67 % (1461641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.67 % (1461641)CaDiCaL version: 2.1.3
% 2.37/0.67 % (1461641)Termination reason: Instruction limit
% 2.37/0.67 % (1461641)Termination phase: Saturation
% 2.37/0.67 % (1461641)Time elapsed: 0.006 s
% 2.37/0.67 % (1461641)Peak memory usage: 12 MB
% 2.37/0.67 % (1461641)Instructions burned: 21 (million)
% 2.37/0.67 % (1461648)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3925554201:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.37/0.67 % (1461638)Instruction limit reached!
% 2.37/0.67 % (1461638)------------------------------
% 2.68/0.71 % (1461638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.71 % (1461638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.71 % (1461638)CaDiCaL version: 2.1.3
% 2.68/0.71 % (1461638)Termination reason: Instruction limit
% 2.68/0.71 % (1461638)Termination phase: Saturation
% 2.68/0.71 % (1461638)Time elapsed: 0.024 s
% 2.68/0.71 % (1461638)Peak memory usage: 12 MB
% 2.68/0.71 % (1461638)Instructions burned: 45 (million)
% 2.68/0.71 % (1461648)Instruction limit reached!
% 2.68/0.71 % (1461648)------------------------------
% 2.68/0.71 % (1461648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.71 % (1461648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.71 % (1461648)CaDiCaL version: 2.1.3
% 2.68/0.71 % (1461648)Termination reason: Instruction limit
% 2.68/0.71 % (1461648)Termination phase: Saturation
% 2.68/0.71 % (1461648)Time elapsed: 0.004 s
% 2.68/0.71 % (1461648)Peak memory usage: 12 MB
% 2.68/0.71 % (1461648)Instructions burned: 16 (million)
% 2.68/0.71 % (1461651)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=802965517:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.68/0.71 % (1461647)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.68/0.71 % (1461651)Refutation not found, incomplete strategy
% 2.68/0.71 % (1461651)------------------------------
% 2.68/0.71 % (1461651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.71 % (1461651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.71 % (1461651)CaDiCaL version: 2.1.3
% 2.68/0.71 % (1461651)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.71 % (1461651)Time elapsed: 0.0000 s
% 2.68/0.71 % (1461651)Peak memory usage: 11 MB
% 2.68/0.71 % (1461651)Instructions burned: 1 (million)
% 2.68/0.71 % (1461651)------------------------------
% 2.68/0.71 % (1461651)------------------------------
% 2.68/0.71 % (1461650)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=122998054:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.68/0.71 % (1461647)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1465246365:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.68/0.71 % (1461653)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=400695707:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.68/0.71 % (1461653)Instruction limit reached!
% 2.68/0.71 % (1461653)------------------------------
% 2.68/0.71 % (1461653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.71 % (1461653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.71 % (1461653)CaDiCaL version: 2.1.3
% 2.68/0.71 % (1461653)Termination reason: Instruction limit
% 2.68/0.71 % (1461653)Termination phase: Saturation
% 2.68/0.71 % (1461653)Time elapsed: 0.008 s
% 2.68/0.71 % (1461653)Peak memory usage: 12 MB
% 2.68/0.71 % (1461653)Instructions burned: 32 (million)
% 2.68/0.71 % (1461657)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1640179956:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.68/0.71 % (1461650)Instruction limit reached!
% 2.68/0.71 % (1461650)------------------------------
% 2.68/0.71 % (1461650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.71 % (1461650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.71 % (1461650)CaDiCaL version: 2.1.3
% 2.68/0.71 % (1461650)Termination reason: Instruction limit
% 2.68/0.71 % (1461650)Termination phase: Saturation
% 2.68/0.71 % (1461650)Time elapsed: 0.028 s
% 2.68/0.71 % (1461650)Peak memory usage: 12 MB
% 2.68/0.71 % (1461650)Instructions burned: 66 (million)
% 2.68/0.71 % (1461558)Instruction limit reached!
% 2.68/0.71 % (1461558)------------------------------
% 2.68/0.71 % (1461558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.71 % (1461558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.71 % (1461558)CaDiCaL version: 2.1.3
% 2.68/0.71 % (1461558)Termination reason: Instruction limit
% 2.68/0.71 % (1461558)Termination phase: Saturation
% 2.68/0.79 % (1461558)Time elapsed: 0.320 s
% 2.68/0.79 % (1461558)Peak memory usage: 13 MB
% 2.68/0.79 % (1461558)Instructions burned: 634 (million)
% 2.68/0.79 % (1461659)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=1019000314:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.68/0.79 % (1461657)Instruction limit reached!
% 2.68/0.79 % (1461657)------------------------------
% 2.68/0.79 % (1461657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.79 % (1461657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.79 % (1461657)CaDiCaL version: 2.1.3
% 2.68/0.79 % (1461657)Termination reason: Instruction limit
% 2.68/0.79 % (1461657)Termination phase: Saturation
% 2.68/0.79 % (1461657)Time elapsed: 0.029 s
% 2.68/0.79 % (1461657)Peak memory usage: 12 MB
% 2.68/0.79 % (1461657)Instructions burned: 137 (million)
% 2.68/0.79 % (1461660)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2221724023:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 2.68/0.79 % (1461660)Refutation not found, incomplete strategy
% 2.68/0.79 % (1461660)------------------------------
% 2.68/0.79 % (1461660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.79 % (1461660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.79 % (1461660)CaDiCaL version: 2.1.3
% 2.68/0.79 % (1461660)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.79 % (1461660)Time elapsed: 0.001 s
% 2.68/0.79 % (1461660)Peak memory usage: 12 MB
% 2.68/0.79 % (1461660)Instructions burned: 1 (million)
% 2.68/0.79 % (1461662)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.68/0.79 % (1461660)------------------------------
% 2.68/0.79 % (1461660)------------------------------
% 2.68/0.79 % (1461662)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3488311800:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 2.68/0.79 % (1461659)Instruction limit reached!
% 2.68/0.79 % (1461659)------------------------------
% 2.68/0.79 % (1461659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.79 % (1461659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.79 % (1461659)CaDiCaL version: 2.1.3
% 2.68/0.79 % (1461659)Termination reason: Instruction limit
% 2.68/0.79 % (1461659)Termination phase: Saturation
% 2.68/0.79 % (1461659)Time elapsed: 0.017 s
% 2.68/0.79 % (1461659)Peak memory usage: 12 MB
% 2.68/0.79 % (1461659)Instructions burned: 34 (million)
% 2.68/0.79 % (1461664)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3761914801:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.68/0.79 % (1461664)Refutation not found, incomplete strategy
% 2.68/0.79 % (1461664)------------------------------
% 2.68/0.79 % (1461664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.79 % (1461664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.79 % (1461664)CaDiCaL version: 2.1.3
% 2.68/0.79 % (1461664)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.79 % (1461664)Time elapsed: 0.001 s
% 2.68/0.79 % (1461664)Peak memory usage: 11 MB
% 2.68/0.79 % (1461664)------------------------------
% 2.68/0.79 % (1461664)------------------------------
% 2.68/0.79 % (1461666)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2881317767:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.68/0.79 % (1461669)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2118691535:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 2.68/0.79 % (1461669)Refutation not found, incomplete strategy
% 2.68/0.79 % (1461669)------------------------------
% 2.68/0.79 % (1461669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.79 % (1461669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.79 % (1461669)CaDiCaL version: 2.1.3
% 2.68/0.79 % (1461669)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.79 % (1461669)Time elapsed: 0.001 s
% 2.68/0.79 % (1461669)Peak memory usage: 11 MB
% 2.68/0.79 % (1461669)------------------------------
% 2.68/0.79 % (1461669)------------------------------
% 2.68/0.79 % (1461662)Instruction limit reached!
% 2.68/0.79 % (1461662)------------------------------
% 3.22/0.82 % (1461662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.82 % (1461662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.82 % (1461662)CaDiCaL version: 2.1.3
% 3.22/0.82 % (1461662)Termination reason: Instruction limit
% 3.22/0.82 % (1461662)Termination phase: Saturation
% 3.22/0.82 % (1461662)Time elapsed: 0.042 s
% 3.22/0.82 % (1461662)Peak memory usage: 12 MB
% 3.22/0.82 % (1461662)Instructions burned: 185 (million)
% 3.22/0.82 % (1461672)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1108539747:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.22/0.82 % (1461672)Refutation not found, incomplete strategy
% 3.22/0.82 % (1461672)------------------------------
% 3.22/0.82 % (1461672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.82 % (1461672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.82 % (1461672)CaDiCaL version: 2.1.3
% 3.22/0.82 % (1461672)Termination reason: Refutation not found, incomplete strategy
% 3.22/0.82 % (1461672)Time elapsed: 0.0000 s
% 3.22/0.82 % (1461672)Peak memory usage: 12 MB
% 3.22/0.82 % (1461672)Instructions burned: 1 (million)
% 3.22/0.82 % (1461672)------------------------------
% 3.22/0.82 % (1461672)------------------------------
% 3.22/0.82 % (1461671)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1496432549:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.22/0.82 % (1461671)Refutation not found, incomplete strategy
% 3.22/0.82 % (1461671)------------------------------
% 3.22/0.82 % (1461671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.82 % (1461671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.82 % (1461671)CaDiCaL version: 2.1.3
% 3.22/0.82 % (1461671)Termination reason: Refutation not found, incomplete strategy
% 3.22/0.82 % (1461671)Time elapsed: 0.001 s
% 3.22/0.82 % (1461671)Peak memory usage: 11 MB
% 3.22/0.82 % (1461666)Instruction limit reached!
% 3.22/0.82 % (1461666)------------------------------
% 3.22/0.82 % (1461666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.82 % (1461666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.82 % (1461666)CaDiCaL version: 2.1.3
% 3.22/0.82 % (1461666)Termination reason: Instruction limit
% 3.22/0.82 % (1461666)Termination phase: Saturation
% 3.22/0.82 % (1461666)Time elapsed: 0.040 s
% 3.22/0.82 % (1461666)Peak memory usage: 12 MB
% 3.22/0.82 % (1461666)Instructions burned: 97 (million)
% 3.22/0.82 % (1461671)------------------------------
% 3.22/0.82 % (1461671)------------------------------
% 3.22/0.82 % (1461674)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=963653139:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.22/0.82 % (1461674)Refutation not found, incomplete strategy
% 3.22/0.82 % (1461674)------------------------------
% 3.22/0.82 % (1461674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.82 % (1461674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.82 % (1461674)CaDiCaL version: 2.1.3
% 3.22/0.82 % (1461674)Termination reason: Refutation not found, incomplete strategy
% 3.22/0.82 % (1461674)Time elapsed: 0.0000 s
% 3.22/0.82 % (1461674)Peak memory usage: 11 MB
% 3.22/0.82 % (1461674)Instructions burned: 2 (million)
% 3.22/0.82 % (1461674)------------------------------
% 3.22/0.82 % (1461674)------------------------------
% 3.22/0.82 % (1461679)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3647475340:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.22/0.82 % (1461676)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=368926728:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.22/0.82 % (1461677)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1497389468:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.22/0.82 % (1461677)Refutation not found, incomplete strategy
% 3.22/0.82 % (1461677)------------------------------
% 3.22/0.82 % (1461677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.22/0.82 % (1461677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.82 % (1461677)CaDiCaL version: 2.1.3
% 3.22/0.82 % (1461677)Termination reason: Refutation not found, incomplete strategy
% 3.90/0.90 % (1461677)Time elapsed: 0.001 s
% 3.90/0.90 % (1461677)Peak memory usage: 12 MB
% 3.90/0.90 % (1461677)Instructions burned: 1 (million)
% 3.90/0.90 % (1461677)------------------------------
% 3.90/0.90 % (1461677)------------------------------
% 3.90/0.90 % (1461647)Instruction limit reached!
% 3.90/0.90 % (1461647)------------------------------
% 3.90/0.90 % (1461647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.90 % (1461647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.90 % (1461647)CaDiCaL version: 2.1.3
% 3.90/0.90 % (1461647)Termination reason: Instruction limit
% 3.90/0.90 % (1461647)Termination phase: Saturation
% 3.90/0.90 % (1461647)Time elapsed: 0.151 s
% 3.90/0.90 % (1461647)Peak memory usage: 12 MB
% 3.90/0.90 % (1461647)Instructions burned: 202 (million)
% 3.90/0.90 % (1461676)Instruction limit reached!
% 3.90/0.90 % (1461676)------------------------------
% 3.90/0.90 % (1461676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.90 % (1461676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.90 % (1461676)CaDiCaL version: 2.1.3
% 3.90/0.90 % (1461676)Termination reason: Instruction limit
% 3.90/0.90 % (1461676)Termination phase: Saturation
% 3.90/0.90 % (1461676)Time elapsed: 0.022 s
% 3.90/0.90 % (1461676)Peak memory usage: 12 MB
% 3.90/0.90 % (1461676)Instructions burned: 44 (million)
% 3.90/0.90 % (1461684)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=4219446514:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.90/0.90 % (1461683)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3084946610:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.90/0.90 % (1461685)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=2849808436:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2995 on theBenchmark for (2995ds/105Mi)
% 3.90/0.90 % (1461684)Instruction limit reached!
% 3.90/0.90 % (1461684)------------------------------
% 3.90/0.90 % (1461684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.90 % (1461684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.90 % (1461684)CaDiCaL version: 2.1.3
% 3.90/0.90 % (1461684)Termination reason: Instruction limit
% 3.90/0.90 % (1461684)Termination phase: Saturation
% 3.90/0.90 % (1461684)Time elapsed: 0.034 s
% 3.90/0.90 % (1461684)Peak memory usage: 12 MB
% 3.90/0.90 % (1461684)Instructions burned: 65 (million)
% 3.90/0.90 % (1461679)Instruction limit reached!
% 3.90/0.90 % (1461679)------------------------------
% 3.90/0.90 % (1461679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.90 % (1461679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.90 % (1461679)CaDiCaL version: 2.1.3
% 3.90/0.90 % (1461679)Termination reason: Instruction limit
% 3.90/0.90 % (1461679)Termination phase: Saturation
% 3.90/0.90 % (1461679)Time elapsed: 0.074 s
% 3.90/0.90 % (1461679)Peak memory usage: 13 MB
% 3.90/0.90 % (1461679)Instructions burned: 450 (million)
% 3.90/0.90 % (1461633)Instruction limit reached!
% 3.90/0.90 % (1461633)------------------------------
% 3.90/0.90 % (1461633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.90 % (1461633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.90 % (1461633)CaDiCaL version: 2.1.3
% 3.90/0.90 % (1461633)Termination reason: Instruction limit
% 3.90/0.90 % (1461633)Termination phase: Saturation
% 3.90/0.90 % (1461633)Time elapsed: 0.253 s
% 3.90/0.90 % (1461633)Peak memory usage: 13 MB
% 3.90/0.90 % (1461633)Instructions burned: 316 (million)
% 3.90/0.90 % (1461690)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=737050981:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 3.90/0.90 % (1461690)Refutation not found, incomplete strategy
% 3.90/0.90 % (1461690)------------------------------
% 3.90/0.90 % (1461690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.90 % (1461690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.90 % (1461690)CaDiCaL version: 2.1.3
% 3.90/1.00 % (1461690)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.00 % (1461690)Time elapsed: 0.0000 s
% 3.90/1.00 % (1461690)Peak memory usage: 11 MB
% 3.90/1.00 % (1461690)------------------------------
% 3.90/1.00 % (1461690)------------------------------
% 3.90/1.00 % (1461693)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=2003196042:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 3.90/1.00 % (1461685)Instruction limit reached!
% 3.90/1.00 % (1461685)------------------------------
% 3.90/1.00 % (1461685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/1.00 % (1461685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.00 % (1461685)CaDiCaL version: 2.1.3
% 3.90/1.00 % (1461685)Termination reason: Instruction limit
% 3.90/1.00 % (1461685)Termination phase: Saturation
% 3.90/1.00 % (1461685)Time elapsed: 0.053 s
% 3.90/1.00 % (1461685)Peak memory usage: 12 MB
% 3.90/1.00 % (1461685)Instructions burned: 106 (million)
% 3.90/1.00 % (1461689)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=3522436701:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 3.90/1.00 % (1461689)Refutation not found, incomplete strategy
% 3.90/1.00 % (1461689)------------------------------
% 3.90/1.00 % (1461689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/1.00 % (1461689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.00 % (1461689)CaDiCaL version: 2.1.3
% 3.90/1.00 % (1461689)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.00 % (1461689)Time elapsed: 0.001 s
% 3.90/1.00 % (1461689)Peak memory usage: 12 MB
% 3.90/1.00 % (1461689)Instructions burned: 1 (million)
% 3.90/1.00 % (1461689)------------------------------
% 3.90/1.00 % (1461689)------------------------------
% 3.90/1.00 % (1461683)Instruction limit reached!
% 3.90/1.00 % (1461683)------------------------------
% 3.90/1.00 % (1461683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/1.00 % (1461683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.00 % (1461683)CaDiCaL version: 2.1.3
% 3.90/1.00 % (1461683)Termination reason: Instruction limit
% 3.90/1.00 % (1461683)Termination phase: Saturation
% 3.90/1.00 % (1461683)Time elapsed: 0.064 s
% 3.90/1.00 % (1461683)Peak memory usage: 12 MB
% 3.90/1.00 % (1461683)Instructions burned: 95 (million)
% 3.90/1.00 % (1461693)Instruction limit reached!
% 3.90/1.00 % (1461693)------------------------------
% 3.90/1.00 % (1461693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/1.00 % (1461693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.00 % (1461693)CaDiCaL version: 2.1.3
% 3.90/1.00 % (1461693)Termination reason: Instruction limit
% 3.90/1.00 % (1461693)Termination phase: Saturation
% 3.90/1.00 % (1461693)Time elapsed: 0.009 s
% 3.90/1.00 % (1461693)Peak memory usage: 12 MB
% 3.90/1.00 % (1461693)Instructions burned: 36 (million)
% 3.90/1.00 % (1461691)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=797327205:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 3.90/1.00 % (1461699)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=4256542503:i=338:bd=all:ins=4:rtra=on_2994 on theBenchmark for (2994ds/338Mi)
% 3.90/1.00 % (1461696)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=617188587:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/91Mi)
% 3.90/1.00 % (1461697)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1363164389:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2994 on theBenchmark for (2994ds/66Mi)
% 3.90/1.00 % (1461697)Refutation not found, incomplete strategy
% 3.90/1.00 % (1461697)------------------------------
% 3.90/1.00 % (1461697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/1.00 % (1461697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.00 % (1461697)CaDiCaL version: 2.1.3
% 3.90/1.00 % (1461697)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.00 % (1461697)Time elapsed: 0.0000 s
% 5.15/1.08 % (1461697)Peak memory usage: 11 MB
% 5.15/1.08 % (1461697)------------------------------
% 5.15/1.08 % (1461697)------------------------------
% 5.15/1.08 % (1461698)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=156149399:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 5.15/1.08 % (1461704)lrs+10_1_sil=128000:si=on:urr=on:random_seed=418858543:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/28Mi)
% 5.15/1.08 % (1461704)Refutation not found, incomplete strategy
% 5.15/1.08 % (1461704)------------------------------
% 5.15/1.08 % (1461704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.15/1.08 % (1461704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.08 % (1461704)CaDiCaL version: 2.1.3
% 5.15/1.08 % (1461704)Termination reason: Refutation not found, incomplete strategy
% 5.15/1.08 % (1461704)Time elapsed: 0.001 s
% 5.15/1.08 % (1461704)Peak memory usage: 11 MB
% 5.15/1.08 % (1461704)------------------------------
% 5.15/1.08 % (1461704)------------------------------
% 5.15/1.08 % (1461698)Instruction limit reached!
% 5.15/1.08 % (1461698)------------------------------
% 5.15/1.08 % (1461698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.15/1.08 % (1461698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.08 % (1461698)CaDiCaL version: 2.1.3
% 5.15/1.08 % (1461698)Termination reason: Instruction limit
% 5.15/1.08 % (1461698)Termination phase: Saturation
% 5.15/1.08 % (1461698)Time elapsed: 0.020 s
% 5.15/1.08 % (1461698)Peak memory usage: 12 MB
% 5.15/1.08 % (1461698)Instructions burned: 23 (million)
% 5.15/1.08 % (1461696)Instruction limit reached!
% 5.15/1.08 % (1461696)------------------------------
% 5.15/1.08 % (1461696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.15/1.08 % (1461696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.08 % (1461696)CaDiCaL version: 2.1.3
% 5.15/1.08 % (1461696)Termination reason: Instruction limit
% 5.15/1.08 % (1461696)Termination phase: Saturation
% 5.15/1.08 % (1461696)Time elapsed: 0.039 s
% 5.15/1.08 % (1461696)Peak memory usage: 12 MB
% 5.15/1.08 % (1461696)Instructions burned: 92 (million)
% 5.15/1.08 % (1461707)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.15/1.08 % (1461707)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2168189990:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/137Mi)
% 5.15/1.08 % (1461708)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=390425046:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 5.15/1.08 % (1461709)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3316058226:i=227:sd=1:bd=all:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/227Mi)
% 5.15/1.08 % (1461709)Refutation not found, incomplete strategy
% 5.15/1.08 % (1461709)------------------------------
% 5.15/1.08 % (1461709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.15/1.08 % (1461709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.08 % (1461709)CaDiCaL version: 2.1.3
% 5.15/1.08 % (1461709)Termination reason: Refutation not found, incomplete strategy
% 5.15/1.08 % (1461709)Time elapsed: 0.0000 s
% 5.15/1.08 % (1461709)Peak memory usage: 11 MB
% 5.15/1.08 % (1461709)------------------------------
% 5.15/1.08 % (1461709)------------------------------
% 5.15/1.08 % (1461713)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.15/1.08 % (1461699)Instruction limit reached!
% 5.15/1.08 % (1461699)------------------------------
% 5.15/1.08 % (1461699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.15/1.08 % (1461699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.08 % (1461699)CaDiCaL version: 2.1.3
% 5.15/1.08 % (1461699)Termination reason: Instruction limit
% 5.15/1.08 % (1461699)Termination phase: Saturation
% 5.15/1.08 % (1461699)Time elapsed: 0.078 s
% 5.15/1.08 % (1461699)Peak memory usage: 14 MB
% 5.15/1.08 % (1461699)Instructions burned: 343 (million)
% 5.15/1.08 % (1461713)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2614457218:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/373Mi)
% 5.15/1.15 % (1461714)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=327841962:i=116:ep=RSTC:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/116Mi)
% 5.15/1.15 % (1461707)Instruction limit reached!
% 5.15/1.15 % (1461707)------------------------------
% 5.15/1.15 % (1461707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.15/1.15 % (1461707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.15 % (1461707)CaDiCaL version: 2.1.3
% 5.15/1.15 % (1461707)Termination reason: Instruction limit
% 5.15/1.15 % (1461707)Termination phase: Saturation
% 5.15/1.15 % (1461707)Time elapsed: 0.059 s
% 5.15/1.15 % (1461707)Peak memory usage: 12 MB
% 5.15/1.15 % (1461707)Instructions burned: 138 (million)
% 5.15/1.15 % (1461714)Instruction limit reached!
% 5.15/1.15 % (1461714)------------------------------
% 5.15/1.15 % (1461714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.15/1.15 % (1461714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.15 % (1461714)CaDiCaL version: 2.1.3
% 5.15/1.15 % (1461714)Termination reason: Instruction limit
% 5.15/1.15 % (1461714)Termination phase: Saturation
% 5.15/1.15 % (1461714)Time elapsed: 0.025 s
% 5.15/1.15 % (1461714)Peak memory usage: 12 MB
% 5.15/1.15 % (1461714)Instructions burned: 117 (million)
% 5.15/1.15 % (1461717)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1662906729:i=575:rtra=on_2993 on theBenchmark for (2993ds/575Mi)
% 5.15/1.15 % (1461718)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3262207817:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.15/1.15 % (1461717)Refutation not found, incomplete strategy
% 5.15/1.15 % (1461717)------------------------------
% 5.15/1.15 % (1461717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.15/1.15 % (1461717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.15 % (1461717)CaDiCaL version: 2.1.3
% 5.15/1.15 % (1461717)Termination reason: Refutation not found, incomplete strategy
% 5.15/1.15 % (1461717)Time elapsed: 0.001 s
% 5.15/1.15 % (1461717)Peak memory usage: 11 MB
% 5.15/1.15 % (1461717)Instructions burned: 1 (million)
% 5.15/1.15 % (1461717)------------------------------
% 5.15/1.15 % (1461717)------------------------------
% 5.15/1.15 % (1461614)Instruction limit reached!
% 5.15/1.15 % (1461614)------------------------------
% 5.15/1.15 % (1461614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.15/1.15 % (1461614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.15 % (1461614)CaDiCaL version: 2.1.3
% 5.15/1.15 % (1461614)Termination reason: Instruction limit
% 5.15/1.15 % (1461614)Termination phase: Saturation
% 5.15/1.15 % (1461614)Time elapsed: 0.492 s
% 5.15/1.15 % (1461614)Peak memory usage: 13 MB
% 5.15/1.15 % (1461614)Instructions burned: 1243 (million)
% 5.15/1.15 % (1461721)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=3171141458:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/9840Mi)
% 5.15/1.15 % (1461722)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3139556447:i=421:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/421Mi)
% 5.15/1.15 % (1461722)Refutation not found, incomplete strategy
% 5.15/1.15 % (1461722)------------------------------
% 5.15/1.15 % (1461722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.15/1.15 % (1461722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.15 % (1461722)CaDiCaL version: 2.1.3
% 5.15/1.15 % (1461722)Termination reason: Refutation not found, incomplete strategy
% 5.15/1.15 % (1461722)Time elapsed: 0.001 s
% 5.15/1.15 % (1461722)Peak memory usage: 11 MB
% 5.15/1.15 % (1461722)------------------------------
% 5.15/1.15 % (1461722)------------------------------
% 5.15/1.15 % (1461725)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.60/1.20 % (1461725)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=1689337692:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/270Mi)
% 5.60/1.20 % (1461718)Instruction limit reached!
% 5.60/1.20 % (1461718)------------------------------
% 5.60/1.20 % (1461718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.20 % (1461718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.20 % (1461718)CaDiCaL version: 2.1.3
% 5.60/1.20 % (1461718)Termination reason: Instruction limit
% 5.60/1.20 % (1461718)Termination phase: Saturation
% 5.60/1.20 % (1461718)Time elapsed: 0.061 s
% 5.60/1.20 % (1461718)Peak memory usage: 12 MB
% 5.60/1.20 % (1461718)Instructions burned: 271 (million)
% 5.60/1.20 % (1461727)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3068100994:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/31Mi)
% 5.60/1.20 % (1461727)Instruction limit reached!
% 5.60/1.20 % (1461727)------------------------------
% 5.60/1.20 % (1461727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.20 % (1461727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.20 % (1461727)CaDiCaL version: 2.1.3
% 5.60/1.20 % (1461727)Termination reason: Instruction limit
% 5.60/1.20 % (1461727)Termination phase: Saturation
% 5.60/1.20 % (1461727)Time elapsed: 0.008 s
% 5.60/1.20 % (1461727)Peak memory usage: 12 MB
% 5.60/1.20 % (1461727)Instructions burned: 31 (million)
% 5.60/1.20 % (1461708)Instruction limit reached!
% 5.60/1.20 % (1461708)------------------------------
% 5.60/1.20 % (1461708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.20 % (1461708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.20 % (1461708)CaDiCaL version: 2.1.3
% 5.60/1.20 % (1461708)Termination reason: Instruction limit
% 5.60/1.20 % (1461708)Termination phase: Saturation
% 5.60/1.20 % (1461708)Time elapsed: 0.154 s
% 5.60/1.20 % (1461708)Peak memory usage: 13 MB
% 5.60/1.20 % (1461708)Instructions burned: 341 (million)
% 5.60/1.20 % (1461729)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.60/1.20 % (1461729)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.60/1.20 % (1461729)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=2020836424:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2992 on theBenchmark for (2992ds/1440Mi)
% 5.60/1.20 % (1461730)dis+10_2_sil=128000:si=on:random_seed=3180806456:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2992 on theBenchmark for (2992ds/339Mi)
% 5.60/1.20 % (1461730)Refutation not found, incomplete strategy
% 5.60/1.20 % (1461730)------------------------------
% 5.60/1.20 % (1461730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.20 % (1461730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.20 % (1461730)CaDiCaL version: 2.1.3
% 5.60/1.20 % (1461730)Termination reason: Refutation not found, incomplete strategy
% 5.60/1.20 % (1461730)Time elapsed: 0.0000 s
% 5.60/1.20 % (1461730)Peak memory usage: 11 MB
% 5.60/1.20 % (1461730)------------------------------
% 5.60/1.20 % (1461730)------------------------------
% 5.60/1.20 % (1461733)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3596897287:i=111:add=on:fgj=on:rtra=on:fdi=1024_2992 on theBenchmark for (2992ds/111Mi)
% 5.60/1.20 % (1461713)Instruction limit reached!
% 5.60/1.20 % (1461713)------------------------------
% 5.60/1.20 % (1461713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.20 % (1461713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.20 % (1461713)CaDiCaL version: 2.1.3
% 5.60/1.20 % (1461713)Termination reason: Instruction limit
% 5.60/1.20 % (1461713)Termination phase: Saturation
% 5.60/1.20 % (1461713)Time elapsed: 0.177 s
% 5.60/1.20 % (1461713)Peak memory usage: 12 MB
% 5.60/1.20 % (1461713)Instructions burned: 373 (million)
% 5.60/1.20 % (1461637)Instruction limit reached!
% 5.60/1.20 % (1461637)------------------------------
% 5.60/1.20 % (1461637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.31 % (1461637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.31 % (1461637)CaDiCaL version: 2.1.3
% 6.22/1.31 % (1461637)Termination reason: Instruction limit
% 6.22/1.31 % (1461637)Termination phase: Saturation
% 6.22/1.31 % (1461637)Time elapsed: 0.561 s
% 6.22/1.31 % (1461637)Peak memory usage: 13 MB
% 6.22/1.31 % (1461637)Instructions burned: 854 (million)
% 6.22/1.31 % (1461691)Instruction limit reached!
% 6.22/1.31 % (1461691)------------------------------
% 6.22/1.31 % (1461691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.31 % (1461691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.31 % (1461691)CaDiCaL version: 2.1.3
% 6.22/1.31 % (1461691)Termination reason: Instruction limit
% 6.22/1.31 % (1461691)Termination phase: Saturation
% 6.22/1.31 % (1461691)Time elapsed: 0.272 s
% 6.22/1.31 % (1461691)Peak memory usage: 12 MB
% 6.22/1.31 % (1461691)Instructions burned: 496 (million)
% 6.22/1.31 % (1461737)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4147593392:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/232Mi)
% 6.22/1.31 % (1461737)Refutation not found, incomplete strategy
% 6.22/1.31 % (1461737)------------------------------
% 6.22/1.31 % (1461737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.31 % (1461737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.31 % (1461735)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=2718017233:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/122Mi)
% 6.22/1.31 % (1461737)CaDiCaL version: 2.1.3
% 6.22/1.31 % (1461737)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.31 % (1461737)Time elapsed: 0.001 s
% 6.22/1.31 % (1461737)Peak memory usage: 11 MB
% 6.22/1.31 % (1461737)------------------------------
% 6.22/1.31 % (1461737)------------------------------
% 6.22/1.31 % (1461735)Refutation not found, incomplete strategy
% 6.22/1.31 % (1461735)------------------------------
% 6.22/1.31 % (1461735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.31 % (1461735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.31 % (1461735)CaDiCaL version: 2.1.3
% 6.22/1.31 % (1461735)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.31 % (1461735)Time elapsed: 0.001 s
% 6.22/1.31 % (1461735)Peak memory usage: 11 MB
% 6.22/1.31 % (1461735)------------------------------
% 6.22/1.31 % (1461735)------------------------------
% 6.22/1.31 % (1461736)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=1339110453:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/136Mi)
% 6.22/1.31 % (1461736)Refutation not found, incomplete strategy
% 6.22/1.31 % (1461736)------------------------------
% 6.22/1.31 % (1461736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.31 % (1461736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.31 % (1461736)CaDiCaL version: 2.1.3
% 6.22/1.31 % (1461736)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.31 % (1461736)Time elapsed: 0.001 s
% 6.22/1.31 % (1461736)Peak memory usage: 11 MB
% 6.22/1.31 % (1461736)Instructions burned: 1 (million)
% 6.22/1.31 % (1461736)------------------------------
% 6.22/1.31 % (1461736)------------------------------
% 6.22/1.31 % (1461741)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.22/1.31 % (1461725)Instruction limit reached!
% 6.22/1.31 % (1461725)------------------------------
% 6.22/1.31 % (1461725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.31 % (1461725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.31 % (1461725)CaDiCaL version: 2.1.3
% 6.22/1.31 % (1461725)Termination reason: Instruction limit
% 6.22/1.31 % (1461725)Termination phase: Saturation
% 6.22/1.31 % (1461725)Time elapsed: 0.150 s
% 6.22/1.31 % (1461725)Peak memory usage: 12 MB
% 6.22/1.31 % (1461725)Instructions burned: 271 (million)
% 6.22/1.31 % (1461740)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=2492320501:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/1254Mi)
% 6.22/1.40 % (1461733)Instruction limit reached!
% 6.22/1.40 % (1461733)------------------------------
% 6.22/1.40 % (1461733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.40 % (1461733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.40 % (1461733)CaDiCaL version: 2.1.3
% 6.22/1.40 % (1461733)Termination reason: Instruction limit
% 6.22/1.40 % (1461733)Termination phase: Saturation
% 6.22/1.40 % (1461733)Time elapsed: 0.085 s
% 6.22/1.40 % (1461733)Peak memory usage: 12 MB
% 6.22/1.40 % (1461733)Instructions burned: 112 (million)
% 6.22/1.40 % (1461741)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=2566873157:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2991 on theBenchmark for (2991ds/281Mi)
% 6.22/1.40 % (1461740)Refutation not found, incomplete strategy
% 6.22/1.40 % (1461740)------------------------------
% 6.22/1.40 % (1461740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.40 % (1461740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.40 % (1461740)CaDiCaL version: 2.1.3
% 6.22/1.40 % (1461740)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.40 % (1461740)Time elapsed: 0.010 s
% 6.22/1.40 % (1461740)Peak memory usage: 11 MB
% 6.22/1.40 % (1461740)Instructions burned: 3 (million)
% 6.22/1.40 % (1461740)------------------------------
% 6.22/1.40 % (1461740)------------------------------
% 6.22/1.40 % (1461747)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1362034081:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/212Mi)
% 6.22/1.40 % (1461743)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1431475038:i=619:add=on:rtra=on_2991 on theBenchmark for (2991ds/619Mi)
% 6.22/1.40 % (1461747)Refutation not found, incomplete strategy
% 6.22/1.40 % (1461747)------------------------------
% 6.22/1.40 % (1461747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.40 % (1461747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.40 % (1461747)CaDiCaL version: 2.1.3
% 6.22/1.40 % (1461747)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.40 % (1461747)Time elapsed: 0.001 s
% 6.22/1.40 % (1461747)Peak memory usage: 11 MB
% 6.22/1.40 % (1461747)------------------------------
% 6.22/1.40 % (1461747)------------------------------
% 6.22/1.40 % (1461743)Refutation not found, incomplete strategy
% 6.22/1.40 % (1461743)------------------------------
% 6.22/1.40 % (1461743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.40 % (1461743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.40 % (1461743)CaDiCaL version: 2.1.3
% 6.22/1.40 % (1461743)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.40 % (1461743)Time elapsed: 0.003 s
% 6.22/1.40 % (1461743)Peak memory usage: 12 MB
% 6.22/1.40 % (1461743)Instructions burned: 3 (million)
% 6.22/1.40 % (1461745)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=113559455:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/865Mi)
% 6.22/1.40 % (1461750)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1708582647:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/130Mi)
% 6.22/1.40 % (1461743)------------------------------
% 6.22/1.40 % (1461743)------------------------------
% 6.22/1.40 % (1461750)Refutation not found, incomplete strategy
% 6.22/1.40 % (1461750)------------------------------
% 6.22/1.40 % (1461750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.40 % (1461750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.40 % (1461750)CaDiCaL version: 2.1.3
% 6.22/1.40 % (1461750)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.40 % (1461750)Time elapsed: 0.001 s
% 6.22/1.40 % (1461750)Peak memory usage: 11 MB
% 6.22/1.40 % (1461750)------------------------------
% 6.22/1.40 % (1461750)------------------------------
% 6.22/1.40 % (1461754)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2331009983:st=1.5:i=346:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/346Mi)
% 6.22/1.40 % (1461754)Refutation not found, incomplete strategy
% 7.27/1.50 % (1461754)------------------------------
% 7.27/1.50 % (1461754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/1.50 % (1461754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.50 % (1461754)CaDiCaL version: 2.1.3
% 7.27/1.50 % (1461754)Termination reason: Refutation not found, incomplete strategy
% 7.27/1.50 % (1461754)Time elapsed: 0.001 s
% 7.27/1.50 % (1461754)Peak memory usage: 11 MB
% 7.27/1.50 % (1461754)Instructions burned: 2 (million)
% 7.27/1.50 % (1461754)------------------------------
% 7.27/1.50 % (1461754)------------------------------
% 7.27/1.50 % (1461759)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=475141373:i=75:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/75Mi)
% 7.27/1.50 % (1461761)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=3718943780:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/387Mi)
% 7.27/1.50 % (1461758)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3914101512:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/152Mi)
% 7.27/1.50 % (1461761)Refutation not found, incomplete strategy
% 7.27/1.50 % (1461761)------------------------------
% 7.27/1.50 % (1461761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/1.50 % (1461761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.50 % (1461761)CaDiCaL version: 2.1.3
% 7.27/1.50 % (1461761)Termination reason: Refutation not found, incomplete strategy
% 7.27/1.50 % (1461761)Time elapsed: 0.001 s
% 7.27/1.50 % (1461761)Peak memory usage: 11 MB
% 7.27/1.50 % (1461761)Instructions burned: 1 (million)
% 7.27/1.50 % (1461761)------------------------------
% 7.27/1.50 % (1461761)------------------------------
% 7.27/1.50 % (1461759)Instruction limit reached!
% 7.27/1.50 % (1461759)------------------------------
% 7.27/1.50 % (1461759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/1.50 % (1461759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.50 % (1461759)CaDiCaL version: 2.1.3
% 7.27/1.50 % (1461759)Termination reason: Instruction limit
% 7.27/1.50 % (1461759)Termination phase: Saturation
% 7.27/1.50 % (1461759)Time elapsed: 0.035 s
% 7.27/1.50 % (1461759)Peak memory usage: 12 MB
% 7.27/1.50 % (1461759)Instructions burned: 75 (million)
% 7.27/1.50 % (1461765)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=1877660631:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2990 on theBenchmark for (2990ds/148Mi)
% 7.27/1.50 % (1461766)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1956395254:i=161:piset=and:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/161Mi)
% 7.27/1.50 % (1461729)Instruction limit reached!
% 7.27/1.50 % (1461729)------------------------------
% 7.27/1.50 % (1461729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/1.50 % (1461729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.50 % (1461729)CaDiCaL version: 2.1.3
% 7.27/1.50 % (1461729)Termination reason: Instruction limit
% 7.27/1.50 % (1461729)Termination phase: Saturation
% 7.27/1.50 % (1461729)Time elapsed: 0.254 s
% 7.27/1.50 % (1461729)Peak memory usage: 14 MB
% 7.27/1.50 % (1461729)Instructions burned: 1444 (million)
% 7.27/1.50 % (1461769)lrs+10_1_sil=128000:si=on:random_seed=290626990:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/888Mi)
% 7.27/1.50 % (1461769)Refutation not found, incomplete strategy
% 7.27/1.50 % (1461769)------------------------------
% 7.27/1.50 % (1461769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/1.50 % (1461769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.50 % (1461769)CaDiCaL version: 2.1.3
% 7.27/1.50 % (1461769)Termination reason: Refutation not found, incomplete strategy
% 7.27/1.50 % (1461769)Time elapsed: 0.0000 s
% 7.27/1.50 % (1461769)Peak memory usage: 11 MB
% 7.27/1.50 % (1461769)------------------------------
% 7.27/1.50 % (1461769)------------------------------
% 7.27/1.50 % (1461765)Instruction limit reached!
% 7.27/1.50 % (1461765)------------------------------
% 7.27/1.50 % (1461765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.27/1.50 % (1461765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.71 % (1461765)CaDiCaL version: 2.1.3
% 8.39/1.71 % (1461765)Termination reason: Instruction limit
% 8.39/1.71 % (1461765)Termination phase: Saturation
% 8.39/1.71 % (1461765)Time elapsed: 0.068 s
% 8.39/1.71 % (1461765)Peak memory usage: 12 MB
% 8.39/1.71 % (1461765)Instructions burned: 150 (million)
% 8.39/1.71 % (1461766)Instruction limit reached!
% 8.39/1.71 % (1461766)------------------------------
% 8.39/1.71 % (1461766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.71 % (1461766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.71 % (1461766)CaDiCaL version: 2.1.3
% 8.39/1.71 % (1461766)Termination reason: Instruction limit
% 8.39/1.71 % (1461766)Termination phase: Saturation
% 8.39/1.71 % (1461766)Time elapsed: 0.054 s
% 8.39/1.71 % (1461766)Peak memory usage: 12 MB
% 8.39/1.71 % (1461766)Instructions burned: 162 (million)
% 8.39/1.71 % (1461771)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=1160352517:i=136:add=on:ins=4:rtra=on:sup=off_2989 on theBenchmark for (2989ds/136Mi)
% 8.39/1.71 % (1461773)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=226761506:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2989 on theBenchmark for (2989ds/93Mi)
% 8.39/1.71 % (1461772)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=2926512077:i=88:s2at=3:nm=2:rtra=on:rawr=on_2989 on theBenchmark for (2989ds/88Mi)
% 8.39/1.71 % (1461758)Instruction limit reached!
% 8.39/1.71 % (1461758)------------------------------
% 8.39/1.71 % (1461758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.71 % (1461758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.71 % (1461758)CaDiCaL version: 2.1.3
% 8.39/1.71 % (1461758)Termination reason: Instruction limit
% 8.39/1.71 % (1461758)Termination phase: Saturation
% 8.39/1.71 % (1461758)Time elapsed: 0.124 s
% 8.39/1.71 % (1461758)Peak memory usage: 12 MB
% 8.39/1.71 % (1461758)Instructions burned: 153 (million)
% 8.39/1.71 % (1461771)Instruction limit reached!
% 8.39/1.71 % (1461771)------------------------------
% 8.39/1.71 % (1461771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.71 % (1461771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.71 % (1461771)CaDiCaL version: 2.1.3
% 8.39/1.71 % (1461771)Termination reason: Instruction limit
% 8.39/1.71 % (1461771)Termination phase: Saturation
% 8.39/1.71 % (1461771)Time elapsed: 0.034 s
% 8.39/1.71 % (1461771)Peak memory usage: 12 MB
% 8.39/1.71 % (1461771)Instructions burned: 138 (million)
% 8.39/1.71 % (1461778)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=304983890:s2a=on:i=240:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/240Mi)
% 8.39/1.71 % (1461777)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4052711544:i=2186:rtra=on:ixr=off_2989 on theBenchmark for (2989ds/2186Mi)
% 8.39/1.71 % (1461773)Instruction limit reached!
% 8.39/1.71 % (1461773)------------------------------
% 8.39/1.71 % (1461773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.71 % (1461773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.71 % (1461773)CaDiCaL version: 2.1.3
% 8.39/1.71 % (1461773)Termination reason: Instruction limit
% 8.39/1.71 % (1461773)Termination phase: Saturation
% 8.39/1.71 % (1461773)Time elapsed: 0.046 s
% 8.39/1.71 % (1461773)Peak memory usage: 12 MB
% 8.39/1.71 % (1461773)Instructions burned: 94 (million)
% 8.39/1.71 % (1461781)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=563425726:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/805Mi)
% 8.39/1.71 % (1461772)Instruction limit reached!
% 8.39/1.71 % (1461772)------------------------------
% 8.39/1.71 % (1461772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.71 % (1461772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.71 % (1461772)CaDiCaL version: 2.1.3
% 8.39/1.71 % (1461772)Termination reason: Instruction limit
% 8.39/1.71 % (1461772)Termination phase: Saturation
% 8.39/1.71 % (1461772)Time elapsed: 0.065 s
% 8.39/1.71 % (1461772)Peak memory usage: 13 MB
% 8.39/1.71 % (1461772)Instructions burned: 88 (million)
% 8.39/1.71 % (1461741)Instruction limit reached!
% 8.39/1.71 % (1461741)------------------------------
% 8.39/1.79 % (1461741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.79 % (1461741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.79 % (1461741)CaDiCaL version: 2.1.3
% 8.39/1.79 % (1461741)Termination reason: Instruction limit
% 8.39/1.79 % (1461741)Termination phase: Saturation
% 8.39/1.79 % (1461741)Time elapsed: 0.247 s
% 8.39/1.79 % (1461741)Peak memory usage: 13 MB
% 8.39/1.79 % (1461741)Instructions burned: 282 (million)
% 8.39/1.79 % (1461778)Instruction limit reached!
% 8.39/1.79 % (1461778)------------------------------
% 8.39/1.79 % (1461778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.79 % (1461778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.79 % (1461778)CaDiCaL version: 2.1.3
% 8.39/1.79 % (1461778)Termination reason: Instruction limit
% 8.39/1.79 % (1461778)Termination phase: Saturation
% 8.39/1.79 % (1461778)Time elapsed: 0.050 s
% 8.39/1.79 % (1461778)Peak memory usage: 12 MB
% 8.39/1.79 % (1461778)Instructions burned: 242 (million)
% 8.39/1.79 % (1461785)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1565979946:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/314Mi)
% 8.39/1.79 % (1461785)Refutation not found, incomplete strategy
% 8.39/1.79 % (1461785)------------------------------
% 8.39/1.79 % (1461785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.79 % (1461785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.79 % (1461785)CaDiCaL version: 2.1.3
% 8.39/1.79 % (1461785)Termination reason: Refutation not found, incomplete strategy
% 8.39/1.79 % (1461785)Time elapsed: 0.0000 s
% 8.39/1.79 % (1461785)Peak memory usage: 11 MB
% 8.39/1.79 % (1461785)------------------------------
% 8.39/1.79 % (1461785)------------------------------
% 8.39/1.79 % (1461784)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=4085454741:i=355:av=off:fsr=off:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/355Mi)
% 8.39/1.79 % (1461783)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 8.39/1.79 % (1461787)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=1313825350:s2a=on:i=251:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/251Mi)
% 8.39/1.79 % (1461783)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=3069293099:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2988 on theBenchmark for (2988ds/391Mi)
% 8.39/1.79 % (1461783)Refutation not found, incomplete strategy
% 8.39/1.79 % (1461783)------------------------------
% 8.39/1.79 % (1461783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.79 % (1461783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.79 % (1461783)CaDiCaL version: 2.1.3
% 8.39/1.79 % (1461783)Termination reason: Refutation not found, incomplete strategy
% 8.39/1.79 % (1461783)Time elapsed: 0.001 s
% 8.39/1.79 % (1461783)Peak memory usage: 11 MB
% 8.39/1.79 % (1461783)Instructions burned: 2 (million)
% 8.39/1.79 % (1461783)------------------------------
% 8.39/1.79 % (1461783)------------------------------
% 8.39/1.79 % (1461791)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=795471788:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2988 on theBenchmark for (2988ds/2470Mi)
% 8.39/1.79 % (1461787)Instruction limit reached!
% 8.39/1.79 % (1461787)------------------------------
% 8.39/1.79 % (1461787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.79 % (1461787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.79 % (1461787)CaDiCaL version: 2.1.3
% 8.39/1.79 % (1461787)Termination reason: Instruction limit
% 8.39/1.79 % (1461787)Termination phase: Saturation
% 8.39/1.79 % (1461787)Time elapsed: 0.058 s
% 8.39/1.79 % (1461787)Peak memory usage: 12 MB
% 8.39/1.79 % (1461787)Instructions burned: 254 (million)
% 8.39/1.79 % (1461793)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=1846108450:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2987 on theBenchmark for (2987ds/673Mi)
% 9.20/1.89 % (1461745)Instruction limit reached!
% 9.20/1.89 % (1461745)------------------------------
% 9.20/1.89 % (1461745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.89 % (1461745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.89 % (1461745)CaDiCaL version: 2.1.3
% 9.20/1.89 % (1461745)Termination reason: Instruction limit
% 9.20/1.89 % (1461745)Termination phase: Saturation
% 9.20/1.89 % (1461745)Time elapsed: 0.442 s
% 9.20/1.89 % (1461745)Peak memory usage: 15 MB
% 9.20/1.89 % (1461745)Instructions burned: 865 (million)
% 9.20/1.89 % (1461793)Instruction limit reached!
% 9.20/1.89 % (1461793)------------------------------
% 9.20/1.89 % (1461793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.89 % (1461793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.89 % (1461793)CaDiCaL version: 2.1.3
% 9.20/1.89 % (1461793)Termination reason: Instruction limit
% 9.20/1.89 % (1461793)Termination phase: Saturation
% 9.20/1.89 % (1461793)Time elapsed: 0.135 s
% 9.20/1.89 % (1461793)Peak memory usage: 12 MB
% 9.20/1.89 % (1461793)Instructions burned: 677 (million)
% 9.20/1.89 % (1461795)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=98298150:i=116:ep=RSTC:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/116Mi)
% 9.20/1.89 % (1461796)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2614901050:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2986 on theBenchmark for (2986ds/270Mi)
% 9.20/1.89 % (1461784)Instruction limit reached!
% 9.20/1.89 % (1461784)------------------------------
% 9.20/1.89 % (1461784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.89 % (1461784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.89 % (1461784)CaDiCaL version: 2.1.3
% 9.20/1.89 % (1461784)Termination reason: Instruction limit
% 9.20/1.89 % (1461784)Termination phase: Saturation
% 9.20/1.89 % (1461784)Time elapsed: 0.255 s
% 9.20/1.89 % (1461784)Peak memory usage: 12 MB
% 9.20/1.89 % (1461784)Instructions burned: 356 (million)
% 9.20/1.89 % (1461795)Instruction limit reached!
% 9.20/1.89 % (1461795)------------------------------
% 9.20/1.89 % (1461795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.89 % (1461795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.89 % (1461795)CaDiCaL version: 2.1.3
% 9.20/1.89 % (1461795)Termination reason: Instruction limit
% 9.20/1.89 % (1461795)Termination phase: Saturation
% 9.20/1.89 % (1461795)Time elapsed: 0.049 s
% 9.20/1.89 % (1461795)Peak memory usage: 12 MB
% 9.20/1.89 % (1461795)Instructions burned: 117 (million)
% 9.20/1.89 % (1461799)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=1385307217: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_2985 on theBenchmark for (2985ds/30Mi)
% 9.20/1.89 % (1461800)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 9.20/1.89 % (1461796)Instruction limit reached!
% 9.20/1.89 % (1461796)------------------------------
% 9.20/1.89 % (1461796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.89 % (1461796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.89 % (1461796)CaDiCaL version: 2.1.3
% 9.20/1.89 % (1461796)Termination reason: Instruction limit
% 9.20/1.89 % (1461796)Termination phase: Saturation
% 9.20/1.89 % (1461796)Time elapsed: 0.061 s
% 9.20/1.89 % (1461796)Peak memory usage: 12 MB
% 9.20/1.89 % (1461796)Instructions burned: 271 (million)
% 9.20/1.89 % (1461800)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=4253618883:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2985 on theBenchmark for (2985ds/39Mi)
% 9.20/1.89 % (1461799)Instruction limit reached!
% 9.20/1.89 % (1461799)------------------------------
% 9.20/1.89 % (1461799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.89 % (1461799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.89 % (1461799)CaDiCaL version: 2.1.3
% 9.20/1.89 % (1461799)Termination reason: Instruction limit
% 9.20/1.89 % (1461799)Termination phase: Saturation
% 9.20/1.89 % (1461799)Time elapsed: 0.015 s
% 9.56/2.05 % (1461799)Peak memory usage: 12 MB
% 9.56/2.05 % (1461799)Instructions burned: 32 (million)
% 9.56/2.05 % (1461802)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2039060889:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/365Mi)
% 9.56/2.05 % (1461781)Instruction limit reached!
% 9.56/2.05 % (1461781)------------------------------
% 9.56/2.05 % (1461781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.56/2.05 % (1461781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.05 % (1461781)CaDiCaL version: 2.1.3
% 9.56/2.05 % (1461781)Termination reason: Instruction limit
% 9.56/2.05 % (1461781)Termination phase: Saturation
% 9.56/2.05 % (1461781)Time elapsed: 0.331 s
% 9.56/2.05 % (1461781)Peak memory usage: 14 MB
% 9.56/2.05 % (1461781)Instructions burned: 807 (million)
% 9.56/2.05 % (1461800)Instruction limit reached!
% 9.56/2.05 % (1461800)------------------------------
% 9.56/2.05 % (1461800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.56/2.05 % (1461800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.05 % (1461800)CaDiCaL version: 2.1.3
% 9.56/2.05 % (1461800)Termination reason: Instruction limit
% 9.56/2.05 % (1461800)Termination phase: Saturation
% 9.56/2.05 % (1461800)Time elapsed: 0.020 s
% 9.56/2.05 % (1461800)Peak memory usage: 12 MB
% 9.56/2.05 % (1461800)Instructions burned: 40 (million)
% 9.56/2.05 % (1461804)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=442613790:i=158:av=off:rtra=on_2985 on theBenchmark for (2985ds/158Mi)
% 9.56/2.05 % (1461806)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 9.56/2.05 % (1461806)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=1305842538:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/252Mi)
% 9.56/2.05 % (1461807)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3575739135:i=213:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/213Mi)
% 9.56/2.05 % (1461807)Refutation not found, incomplete strategy
% 9.56/2.05 % (1461807)------------------------------
% 9.56/2.05 % (1461807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.56/2.05 % (1461807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.05 % (1461807)CaDiCaL version: 2.1.3
% 9.56/2.05 % (1461807)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.05 % (1461807)Time elapsed: 0.001 s
% 9.56/2.05 % (1461807)Peak memory usage: 11 MB
% 9.56/2.05 % (1461807)------------------------------
% 9.56/2.05 % (1461807)------------------------------
% 9.56/2.05 % (1461811)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=3198024155:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/160Mi)
% 9.56/2.05 % (1461811)Refutation not found, incomplete strategy
% 9.56/2.05 % (1461811)------------------------------
% 9.56/2.05 % (1461811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.56/2.05 % (1461811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.05 % (1461811)CaDiCaL version: 2.1.3
% 9.56/2.05 % (1461811)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.05 % (1461811)Time elapsed: 0.001 s
% 9.56/2.05 % (1461811)Peak memory usage: 11 MB
% 9.56/2.05 % (1461811)Instructions burned: 1 (million)
% 9.56/2.05 % (1461811)------------------------------
% 9.56/2.05 % (1461811)------------------------------
% 9.56/2.05 % (1461802)Instruction limit reached!
% 9.56/2.05 % (1461802)------------------------------
% 9.56/2.05 % (1461802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.56/2.05 % (1461802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.05 % (1461802)CaDiCaL version: 2.1.3
% 9.56/2.05 % (1461802)Termination reason: Instruction limit
% 9.56/2.05 % (1461802)Termination phase: Saturation
% 9.56/2.05 % (1461802)Time elapsed: 0.068 s
% 9.56/2.05 % (1461802)Peak memory usage: 13 MB
% 9.56/2.05 % (1461802)Instructions burned: 366 (million)
% 9.56/2.05 % (1461813)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=4251173807:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/763Mi)
% 11.80/2.13 % (1461814)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 11.80/2.13 % (1461804)Instruction limit reached!
% 11.80/2.13 % (1461804)------------------------------
% 11.80/2.13 % (1461804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.80/2.13 % (1461804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.13 % (1461804)CaDiCaL version: 2.1.3
% 11.80/2.13 % (1461804)Termination reason: Instruction limit
% 11.80/2.13 % (1461804)Termination phase: Saturation
% 11.80/2.13 % (1461804)Time elapsed: 0.063 s
% 11.80/2.13 % (1461804)Peak memory usage: 12 MB
% 11.80/2.13 % (1461804)Instructions burned: 159 (million)
% 11.80/2.13 % (1461814)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=3914999682:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2984 on theBenchmark for (2984ds/237Mi)
% 11.80/2.13 % (1461814)Refutation not found, incomplete strategy
% 11.80/2.13 % (1461814)------------------------------
% 11.80/2.13 % (1461814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.80/2.13 % (1461814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.13 % (1461814)CaDiCaL version: 2.1.3
% 11.80/2.13 % (1461814)Termination reason: Refutation not found, incomplete strategy
% 11.80/2.13 % (1461814)Time elapsed: 0.0000 s
% 11.80/2.13 % (1461814)Peak memory usage: 11 MB
% 11.80/2.13 % (1461814)------------------------------
% 11.80/2.13 % (1461814)------------------------------
% 11.80/2.13 % (1461818)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=8231900:i=300:piset=and:nm=32:rtra=on_2984 on theBenchmark for (2984ds/300Mi)
% 11.80/2.13 % (1461817)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=943673179:s2a=on:i=386:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/386Mi)
% 11.80/2.13 % (1461806)Instruction limit reached!
% 11.80/2.13 % (1461806)------------------------------
% 11.80/2.13 % (1461806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.80/2.13 % (1461806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.13 % (1461806)CaDiCaL version: 2.1.3
% 11.80/2.13 % (1461806)Termination reason: Instruction limit
% 11.80/2.13 % (1461806)Termination phase: Saturation
% 11.80/2.13 % (1461806)Time elapsed: 0.102 s
% 11.80/2.13 % (1461806)Peak memory usage: 12 MB
% 11.80/2.13 % (1461806)Instructions burned: 254 (million)
% 11.80/2.13 % (1461821)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=1812767707:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/567Mi)
% 11.80/2.13 % (1461821)Refutation not found, incomplete strategy
% 11.80/2.13 % (1461821)------------------------------
% 11.80/2.13 % (1461821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.80/2.13 % (1461821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.13 % (1461821)CaDiCaL version: 2.1.3
% 11.80/2.13 % (1461821)Termination reason: Refutation not found, incomplete strategy
% 11.80/2.13 % (1461821)Time elapsed: 0.001 s
% 11.80/2.13 % (1461821)Peak memory usage: 11 MB
% 11.80/2.13 % (1461821)Instructions burned: 2 (million)
% 11.80/2.13 % (1461821)------------------------------
% 11.80/2.13 % (1461821)------------------------------
% 11.80/2.13 % (1461818)Instruction limit reached!
% 11.80/2.13 % (1461818)------------------------------
% 11.80/2.13 % (1461818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.80/2.13 % (1461818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.13 % (1461818)CaDiCaL version: 2.1.3
% 11.80/2.13 % (1461818)Termination reason: Instruction limit
% 11.80/2.13 % (1461818)Termination phase: Saturation
% 11.80/2.13 % (1461818)Time elapsed: 0.069 s
% 11.80/2.13 % (1461818)Peak memory usage: 12 MB
% 11.80/2.13 % (1461818)Instructions burned: 304 (million)
% 11.80/2.13 % (1461824)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=881298249:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2983 on theBenchmark for (2983ds/429Mi)
% 11.80/2.13 % (1461823)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=844975458:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2983 on theBenchmark for (2983ds/379Mi)
% 11.80/2.13 % (1461823)Refutation not found, incomplete strategy
% 12.57/2.23 % (1461823)------------------------------
% 12.57/2.23 % (1461823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.23 % (1461823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.23 % (1461823)CaDiCaL version: 2.1.3
% 12.57/2.23 % (1461823)Termination reason: Refutation not found, incomplete strategy
% 12.57/2.23 % (1461823)Time elapsed: 0.001 s
% 12.57/2.23 % (1461823)Peak memory usage: 11 MB
% 12.57/2.23 % (1461823)------------------------------
% 12.57/2.23 % (1461823)------------------------------
% 12.57/2.23 % (1461827)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2086515429:i=478:bd=all:rtra=on_2983 on theBenchmark for (2983ds/478Mi)
% 12.57/2.23 % (1461827)Refutation not found, incomplete strategy
% 12.57/2.23 % (1461827)------------------------------
% 12.57/2.23 % (1461827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.23 % (1461827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.23 % (1461827)CaDiCaL version: 2.1.3
% 12.57/2.23 % (1461827)Termination reason: Refutation not found, incomplete strategy
% 12.57/2.23 % (1461827)Time elapsed: 0.001 s
% 12.57/2.23 % (1461827)Peak memory usage: 12 MB
% 12.57/2.23 % (1461827)Instructions burned: 1 (million)
% 12.57/2.23 % (1461827)------------------------------
% 12.57/2.23 % (1461827)------------------------------
% 12.57/2.23 % (1461829)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3808932569:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2983 on theBenchmark for (2983ds/445Mi)
% 12.57/2.23 % (1461824)Instruction limit reached!
% 12.57/2.23 % (1461824)------------------------------
% 12.57/2.23 % (1461824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.23 % (1461824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.23 % (1461824)CaDiCaL version: 2.1.3
% 12.57/2.23 % (1461824)Termination reason: Instruction limit
% 12.57/2.23 % (1461824)Termination phase: Saturation
% 12.57/2.23 % (1461824)Time elapsed: 0.102 s
% 12.57/2.23 % (1461824)Peak memory usage: 12 MB
% 12.57/2.23 % (1461824)Instructions burned: 431 (million)
% 12.57/2.23 % (1461831)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=465392548:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2982 on theBenchmark for (2982ds/71Mi)
% 12.57/2.23 % (1461831)Instruction limit reached!
% 12.57/2.23 % (1461831)------------------------------
% 12.57/2.23 % (1461831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.23 % (1461831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.23 % (1461831)CaDiCaL version: 2.1.3
% 12.57/2.23 % (1461831)Termination reason: Instruction limit
% 12.57/2.23 % (1461831)Termination phase: Saturation
% 12.57/2.23 % (1461831)Time elapsed: 0.020 s
% 12.57/2.23 % (1461831)Peak memory usage: 12 MB
% 12.57/2.23 % (1461831)Instructions burned: 75 (million)
% 12.57/2.23 % (1461833)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3188850358:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/302Mi)
% 12.57/2.23 % (1461833)Refutation not found, incomplete strategy
% 12.57/2.23 % (1461833)------------------------------
% 12.57/2.23 % (1461833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.23 % (1461833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.23 % (1461833)CaDiCaL version: 2.1.3
% 12.57/2.23 % (1461833)Termination reason: Refutation not found, incomplete strategy
% 12.57/2.23 % (1461833)Time elapsed: 0.0000 s
% 12.57/2.23 % (1461833)Peak memory usage: 11 MB
% 12.57/2.23 % (1461833)------------------------------
% 12.57/2.23 % (1461833)------------------------------
% 12.57/2.23 % (1461813)Instruction limit reached!
% 12.57/2.23 % (1461813)------------------------------
% 12.57/2.23 % (1461813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.23 % (1461813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.23 % (1461813)CaDiCaL version: 2.1.3
% 12.57/2.23 % (1461813)Termination reason: Instruction limit
% 12.57/2.23 % (1461813)Termination phase: Saturation
% 12.57/2.23 % (1461813)Time elapsed: 0.253 s
% 12.57/2.23 % (1461813)Peak memory usage: 14 MB
% 12.57/2.23 % (1461813)Instructions burned: 766 (million)
% 12.57/2.23 % (1461835)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3332871971:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/4980Mi)
% 13.99/2.50 % (1461835)Refutation not found, incomplete strategy
% 13.99/2.50 % (1461835)------------------------------
% 13.99/2.50 % (1461835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.50 % (1461835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.50 % (1461835)CaDiCaL version: 2.1.3
% 13.99/2.50 % (1461835)Termination reason: Refutation not found, incomplete strategy
% 13.99/2.50 % (1461835)Time elapsed: 0.0000 s
% 13.99/2.50 % (1461835)Peak memory usage: 11 MB
% 13.99/2.50 % (1461835)------------------------------
% 13.99/2.50 % (1461835)------------------------------
% 13.99/2.50 % (1461838)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=2863230579:i=76:piset=equals:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/76Mi)
% 13.99/2.50 % (1461836)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 13.99/2.50 % (1461836)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 13.99/2.50 % (1461836)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2663259919:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2982 on theBenchmark for (2982ds/100Mi)
% 13.99/2.50 % (1461838)Instruction limit reached!
% 13.99/2.50 % (1461838)------------------------------
% 13.99/2.50 % (1461838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.50 % (1461838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.50 % (1461838)CaDiCaL version: 2.1.3
% 13.99/2.50 % (1461838)Termination reason: Instruction limit
% 13.99/2.50 % (1461838)Termination phase: Saturation
% 13.99/2.50 % (1461838)Time elapsed: 0.019 s
% 13.99/2.50 % (1461838)Peak memory usage: 12 MB
% 13.99/2.50 % (1461838)Instructions burned: 76 (million)
% 13.99/2.50 % (1461841)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=3846651852:i=289:rtra=on_2981 on theBenchmark for (2981ds/289Mi)
% 13.99/2.50 % (1461841)Refutation not found, incomplete strategy
% 13.99/2.50 % (1461841)------------------------------
% 13.99/2.50 % (1461841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.50 % (1461841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.50 % (1461841)CaDiCaL version: 2.1.3
% 13.99/2.50 % (1461841)Termination reason: Refutation not found, incomplete strategy
% 13.99/2.50 % (1461841)Time elapsed: 0.0000 s
% 13.99/2.50 % (1461841)Peak memory usage: 11 MB
% 13.99/2.50 % (1461841)Instructions burned: 1 (million)
% 13.99/2.50 % (1461841)------------------------------
% 13.99/2.50 % (1461841)------------------------------
% 13.99/2.50 % (1461843)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=2528384525:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2981 on theBenchmark for (2981ds/493Mi)
% 13.99/2.50 % (1461817)Instruction limit reached!
% 13.99/2.50 % (1461817)------------------------------
% 13.99/2.50 % (1461817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.51 % (1461817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.51 % (1461817)CaDiCaL version: 2.1.3
% 13.99/2.51 % (1461817)Termination reason: Instruction limit
% 13.99/2.51 % (1461817)Termination phase: Saturation
% 13.99/2.51 % (1461817)Time elapsed: 0.288 s
% 13.99/2.51 % (1461817)Peak memory usage: 12 MB
% 13.99/2.51 % (1461817)Instructions burned: 387 (million)
% 13.99/2.51 % (1461836)Instruction limit reached!
% 13.99/2.51 % (1461836)------------------------------
% 13.99/2.51 % (1461836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.51 % (1461836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.51 % (1461836)CaDiCaL version: 2.1.3
% 13.99/2.51 % (1461836)Termination reason: Instruction limit
% 13.99/2.51 % (1461836)Termination phase: Saturation
% 13.99/2.51 % (1461836)Time elapsed: 0.049 s
% 13.99/2.51 % (1461836)Peak memory usage: 12 MB
% 13.99/2.51 % (1461836)Instructions burned: 102 (million)
% 13.99/2.51 % (1461846)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 13.99/2.58 % (1461845)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=2842669828:cond=on:i=34:hud=10:nm=10:rtra=on_2981 on theBenchmark for (2981ds/34Mi)
% 13.99/2.58 % (1461846)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=1237955920:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2981 on theBenchmark for (2981ds/372Mi)
% 13.99/2.58 % (1461846)Refutation not found, incomplete strategy
% 13.99/2.58 % (1461846)------------------------------
% 13.99/2.58 % (1461846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.58 % (1461846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.58 % (1461846)CaDiCaL version: 2.1.3
% 13.99/2.58 % (1461846)Termination reason: Refutation not found, incomplete strategy
% 13.99/2.58 % (1461846)Time elapsed: 0.001 s
% 13.99/2.58 % (1461846)Peak memory usage: 11 MB
% 13.99/2.58 % (1461846)Instructions burned: 3 (million)
% 13.99/2.58 % (1461846)------------------------------
% 13.99/2.58 % (1461846)------------------------------
% 13.99/2.58 % (1461845)Instruction limit reached!
% 13.99/2.58 % (1461845)------------------------------
% 13.99/2.58 % (1461845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.58 % (1461845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.58 % (1461845)CaDiCaL version: 2.1.3
% 13.99/2.58 % (1461845)Termination reason: Instruction limit
% 13.99/2.58 % (1461845)Termination phase: Saturation
% 13.99/2.58 % (1461845)Time elapsed: 0.022 s
% 13.99/2.58 % (1461845)Peak memory usage: 12 MB
% 13.99/2.58 % (1461845)Instructions burned: 36 (million)
% 13.99/2.58 % (1461829)Instruction limit reached!
% 13.99/2.58 % (1461829)------------------------------
% 13.99/2.58 % (1461829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.58 % (1461829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.58 % (1461829)CaDiCaL version: 2.1.3
% 13.99/2.58 % (1461829)Termination reason: Instruction limit
% 13.99/2.58 % (1461829)Termination phase: Saturation
% 13.99/2.58 % (1461829)Time elapsed: 0.222 s
% 13.99/2.58 % (1461829)Peak memory usage: 14 MB
% 13.99/2.58 % (1461829)Instructions burned: 445 (million)
% 13.99/2.58 % (1461849)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=321310040:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2981 on theBenchmark for (2981ds/670Mi)
% 13.99/2.58 % (1461851)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=1724091437:i=857:add=off:kws=frequency:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/857Mi)
% 13.99/2.58 % (1461850)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3295654439:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/647Mi)
% 13.99/2.58 % (1461850)Refutation not found, incomplete strategy
% 13.99/2.58 % (1461850)------------------------------
% 13.99/2.58 % (1461850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.58 % (1461850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.58 % (1461850)CaDiCaL version: 2.1.3
% 13.99/2.58 % (1461850)Termination reason: Refutation not found, incomplete strategy
% 13.99/2.58 % (1461850)Time elapsed: 0.0000 s
% 13.99/2.58 % (1461850)Peak memory usage: 11 MB
% 13.99/2.58 % (1461850)------------------------------
% 13.99/2.58 % (1461850)------------------------------
% 13.99/2.58 % (1461855)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=2532034205:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2980 on theBenchmark for (2980ds/693Mi)
% 13.99/2.58 % (1461843)Instruction limit reached!
% 13.99/2.58 % (1461843)------------------------------
% 13.99/2.58 % (1461843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.58 % (1461843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.58 % (1461843)CaDiCaL version: 2.1.3
% 13.99/2.58 % (1461843)Termination reason: Instruction limit
% 13.99/2.58 % (1461843)Termination phase: Saturation
% 13.99/2.58 % (1461843)Time elapsed: 0.133 s
% 13.99/2.58 % (1461843)Peak memory usage: 13 MB
% 13.99/2.58 % (1461843)Instructions burned: 495 (million)
% 15.59/2.85 % (1461857)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3025449745:i=285:hud=10:bd=all:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/285Mi)
% 15.59/2.85 % (1461857)Refutation not found, incomplete strategy
% 15.59/2.85 % (1461857)------------------------------
% 15.59/2.85 % (1461857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.59/2.85 % (1461857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.59/2.85 % (1461857)CaDiCaL version: 2.1.3
% 15.59/2.85 % (1461857)Termination reason: Refutation not found, incomplete strategy
% 15.59/2.85 % (1461857)Time elapsed: 0.001 s
% 15.59/2.85 % (1461857)Peak memory usage: 11 MB
% 15.59/2.85 % (1461857)Instructions burned: 1 (million)
% 15.59/2.85 % (1461857)------------------------------
% 15.59/2.85 % (1461857)------------------------------
% 15.59/2.85 % (1461860)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 15.59/2.85 % (1461860)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=1781533800:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2979 on theBenchmark for (2979ds/52Mi)
% 15.59/2.85 % (1461860)Instruction limit reached!
% 15.59/2.85 % (1461860)------------------------------
% 15.59/2.85 % (1461860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.59/2.85 % (1461860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.59/2.85 % (1461860)CaDiCaL version: 2.1.3
% 15.59/2.85 % (1461860)Termination reason: Instruction limit
% 15.59/2.85 % (1461860)Termination phase: Saturation
% 15.59/2.85 % (1461860)Time elapsed: 0.020 s
% 15.59/2.85 % (1461860)Peak memory usage: 12 MB
% 15.59/2.85 % (1461860)Instructions burned: 53 (million)
% 15.59/2.85 % (1461862)dis+10_1_si=on:random_seed=3889355809:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2979 on theBenchmark for (2979ds/407Mi)
% 15.59/2.85 % (1461862)Refutation not found, incomplete strategy
% 15.59/2.85 % (1461862)------------------------------
% 15.59/2.85 % (1461862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.59/2.85 % (1461862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.59/2.85 % (1461862)CaDiCaL version: 2.1.3
% 15.59/2.85 % (1461862)Termination reason: Refutation not found, incomplete strategy
% 15.59/2.85 % (1461862)Time elapsed: 0.001 s
% 15.59/2.85 % (1461862)Peak memory usage: 11 MB
% 15.59/2.85 % (1461862)------------------------------
% 15.59/2.85 % (1461862)------------------------------
% 15.59/2.85 % (1461864)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=514544813:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/2240Mi)
% 15.59/2.85 % (1461851)Instruction limit reached!
% 15.59/2.85 % (1461851)------------------------------
% 15.59/2.85 % (1461851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.59/2.85 % (1461851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.59/2.85 % (1461851)CaDiCaL version: 2.1.3
% 15.59/2.85 % (1461851)Termination reason: Instruction limit
% 15.59/2.85 % (1461851)Termination phase: Saturation
% 15.59/2.85 % (1461851)Time elapsed: 0.285 s
% 15.59/2.85 % (1461851)Peak memory usage: 12 MB
% 15.59/2.85 % (1461851)Instructions burned: 860 (million)
% 15.59/2.85 % (1461866)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=2064163014:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/336Mi)
% 15.59/2.85 % (1461866)Refutation not found, incomplete strategy
% 15.59/2.85 % (1461866)------------------------------
% 15.59/2.85 % (1461866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.59/2.85 % (1461866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.59/2.85 % (1461866)CaDiCaL version: 2.1.3
% 15.59/2.85 % (1461866)Termination reason: Refutation not found, incomplete strategy
% 15.59/2.85 % (1461866)Time elapsed: 0.001 s
% 15.59/2.85 % (1461866)Peak memory usage: 11 MB
% 15.59/2.85 % (1461866)------------------------------
% 15.59/2.85 % (1461866)------------------------------
% 15.59/2.85 % (1461777)Instruction limit reached!
% 15.59/2.85 % (1461777)------------------------------
% 15.59/2.85 % (1461777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.59/2.85 % (1461777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.95/3.22 % (1461777)CaDiCaL version: 2.1.3
% 18.95/3.22 % (1461777)Termination reason: Instruction limit
% 18.95/3.22 % (1461777)Termination phase: Saturation
% 18.95/3.22 % (1461777)Time elapsed: 1.144 s
% 18.95/3.22 % (1461777)Peak memory usage: 13 MB
% 18.95/3.22 % (1461777)Instructions burned: 2186 (million)
% 18.95/3.22 % (1461869)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1423911680:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/376Mi)
% 18.95/3.22 % (1461869)Refutation not found, incomplete strategy
% 18.95/3.22 % (1461869)------------------------------
% 18.95/3.22 % (1461869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.95/3.22 % (1461869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.95/3.22 % (1461869)CaDiCaL version: 2.1.3
% 18.95/3.22 % (1461869)Termination reason: Refutation not found, incomplete strategy
% 18.95/3.22 % (1461869)Time elapsed: 0.001 s
% 18.95/3.22 % (1461869)Peak memory usage: 11 MB
% 18.95/3.22 % (1461869)------------------------------
% 18.95/3.22 % (1461869)------------------------------
% 18.95/3.22 % (1461868)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=1950810344:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2977 on theBenchmark for (2977ds/1142Mi)
% 18.95/3.22 % (1461871)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1703756558:i=766:bd=all:rtra=on_2977 on theBenchmark for (2977ds/766Mi)
% 18.95/3.22 % (1461871)Refutation not found, incomplete strategy
% 18.95/3.22 % (1461871)------------------------------
% 18.95/3.22 % (1461871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.95/3.22 % (1461871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.95/3.22 % (1461871)CaDiCaL version: 2.1.3
% 18.95/3.22 % (1461871)Termination reason: Refutation not found, incomplete strategy
% 18.95/3.22 % (1461871)Time elapsed: 0.001 s
% 18.95/3.22 % (1461871)Peak memory usage: 12 MB
% 18.95/3.22 % (1461871)Instructions burned: 1 (million)
% 18.95/3.22 % (1461871)------------------------------
% 18.95/3.22 % (1461871)------------------------------
% 18.95/3.22 % (1461855)Instruction limit reached!
% 18.95/3.22 % (1461855)------------------------------
% 18.95/3.22 % (1461855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.95/3.22 % (1461855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.95/3.22 % (1461855)CaDiCaL version: 2.1.3
% 18.95/3.22 % (1461855)Termination reason: Instruction limit
% 18.95/3.22 % (1461855)Termination phase: Saturation
% 18.95/3.22 % (1461855)Time elapsed: 0.341 s
% 18.95/3.22 % (1461855)Peak memory usage: 12 MB
% 18.95/3.22 % (1461855)Instructions burned: 695 (million)
% 18.95/3.22 % (1461874)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 18.95/3.22 % (1461874)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2350851204: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_2977 on theBenchmark for (2977ds/959Mi)
% 18.95/3.22 % (1461874)Refutation not found, incomplete strategy
% 18.95/3.22 % (1461874)------------------------------
% 18.95/3.22 % (1461874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.95/3.22 % (1461874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.95/3.22 % (1461874)CaDiCaL version: 2.1.3
% 18.95/3.22 % (1461874)Termination reason: Refutation not found, incomplete strategy
% 18.95/3.22 % (1461874)Time elapsed: 0.001 s
% 18.95/3.22 % (1461874)Peak memory usage: 11 MB
% 18.95/3.22 % (1461874)------------------------------
% 18.95/3.22 % (1461874)------------------------------
% 18.95/3.22 % (1461849)Instruction limit reached!
% 18.95/3.22 % (1461849)------------------------------
% 18.95/3.22 % (1461849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.95/3.22 % (1461849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.95/3.22 % (1461849)CaDiCaL version: 2.1.3
% 18.95/3.22 % (1461849)Termination reason: Instruction limit
% 18.95/3.22 % (1461849)Termination phase: Saturation
% 18.95/3.22 % (1461849)Time elapsed: 0.405 s
% 18.95/3.22 % (1461849)Peak memory usage: 12 MB
% 18.95/3.22 % (1461849)Instructions burned: 671 (million)
% 18.95/3.22 % (1461875)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=2248625495:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2976 on theBenchmark for (2976ds/6359Mi)
% 19.45/3.40 % (1461877)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=900824454:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2976 on theBenchmark for (2976ds/35Mi)
% 19.45/3.40 % (1461877)Refutation not found, incomplete strategy
% 19.45/3.40 % (1461877)------------------------------
% 19.45/3.40 % (1461877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.45/3.40 % (1461877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.40 % (1461877)CaDiCaL version: 2.1.3
% 19.45/3.40 % (1461877)Termination reason: Refutation not found, incomplete strategy
% 19.45/3.40 % (1461877)Time elapsed: 0.001 s
% 19.45/3.40 % (1461877)Peak memory usage: 11 MB
% 19.45/3.40 % (1461877)------------------------------
% 19.45/3.40 % (1461877)------------------------------
% 19.45/3.40 % (1461878)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=170248033:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2976 on theBenchmark for (2976ds/53Mi)
% 19.45/3.40 % (1461881)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=2780685770:s2a=on:i=876:s2at=6:nm=2:rtra=on_2976 on theBenchmark for (2976ds/876Mi)
% 19.45/3.40 % (1461878)Instruction limit reached!
% 19.45/3.40 % (1461878)------------------------------
% 19.45/3.40 % (1461878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.45/3.40 % (1461878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.40 % (1461878)CaDiCaL version: 2.1.3
% 19.45/3.40 % (1461878)Termination reason: Instruction limit
% 19.45/3.40 % (1461878)Termination phase: Saturation
% 19.45/3.40 % (1461878)Time elapsed: 0.057 s
% 19.45/3.40 % (1461878)Peak memory usage: 12 MB
% 19.45/3.40 % (1461878)Instructions burned: 54 (million)
% 19.45/3.40 % (1461884)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1395138624:i=57:ep=R:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/57Mi)
% 19.45/3.40 % (1461884)Instruction limit reached!
% 19.45/3.40 % (1461884)------------------------------
% 19.45/3.40 % (1461884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.45/3.40 % (1461884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.40 % (1461884)CaDiCaL version: 2.1.3
% 19.45/3.40 % (1461884)Termination reason: Instruction limit
% 19.45/3.40 % (1461884)Termination phase: Saturation
% 19.45/3.40 % (1461884)Time elapsed: 0.056 s
% 19.45/3.40 % (1461884)Peak memory usage: 12 MB
% 19.45/3.40 % (1461884)Instructions burned: 59 (million)
% 19.45/3.40 % (1461886)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 19.45/3.40 % (1461886)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=627259571:i=306:bd=all:rtra=on_2974 on theBenchmark for (2974ds/306Mi)
% 19.45/3.40 % (1461886)Refutation not found, incomplete strategy
% 19.45/3.40 % (1461886)------------------------------
% 19.45/3.40 % (1461886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.45/3.40 % (1461886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.40 % (1461886)CaDiCaL version: 2.1.3
% 19.45/3.40 % (1461886)Termination reason: Refutation not found, incomplete strategy
% 19.45/3.40 % (1461886)Time elapsed: 0.005 s
% 19.45/3.40 % (1461886)Peak memory usage: 11 MB
% 19.45/3.40 % (1461886)Instructions burned: 1 (million)
% 19.45/3.40 % (1461886)------------------------------
% 19.45/3.40 % (1461886)------------------------------
% 19.45/3.40 % (1461888)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3574454037:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/262Mi)
% 19.45/3.40 % (1461888)Refutation not found, incomplete strategy
% 19.45/3.40 % (1461888)------------------------------
% 19.45/3.40 % (1461888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.45/3.40 % (1461888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.45/3.40 % (1461888)CaDiCaL version: 2.1.3
% 19.45/3.40 % (1461888)Termination reason: Refutation not found, incomplete strategy
% 19.45/3.40 % (1461888)Time elapsed: 0.001 s
% 19.45/3.40 % (1461888)Peak memory usage: 11 MB
% 19.45/3.40 % (1461888)------------------------------
% 19.45/3.40 % (1461888)------------------------------
% 20.46/3.52 % (1461890)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 20.46/3.52 % (1461890)ott+1002_16_sil=128000:si=on:random_seed=3191706703:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/409Mi)
% 20.46/3.52 % (1461791)Instruction limit reached!
% 20.46/3.52 % (1461791)------------------------------
% 20.46/3.52 % (1461791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.46/3.52 % (1461791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.46/3.52 % (1461791)CaDiCaL version: 2.1.3
% 20.46/3.52 % (1461791)Termination reason: Instruction limit
% 20.46/3.52 % (1461791)Termination phase: Saturation
% 20.46/3.52 % (1461791)Time elapsed: 1.448 s
% 20.46/3.52 % (1461791)Peak memory usage: 16 MB
% 20.46/3.52 % (1461791)Instructions burned: 2470 (million)
% 20.46/3.52 % (1461868)Instruction limit reached!
% 20.46/3.52 % (1461868)------------------------------
% 20.46/3.52 % (1461868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.46/3.52 % (1461868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.46/3.52 % (1461868)CaDiCaL version: 2.1.3
% 20.46/3.52 % (1461868)Termination reason: Instruction limit
% 20.46/3.52 % (1461868)Termination phase: Saturation
% 20.46/3.52 % (1461868)Time elapsed: 0.436 s
% 20.46/3.52 % (1461868)Peak memory usage: 14 MB
% 20.46/3.52 % (1461868)Instructions burned: 1143 (million)
% 20.46/3.52 % (1461892)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=2945393466:s2a=on:i=381:rtra=on_2973 on theBenchmark for (2973ds/381Mi)
% 20.46/3.52 % (1461894)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1073637116:cond=on:i=324:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/324Mi)
% 20.46/3.52 % (1461894)Instruction limit reached!
% 20.46/3.52 % (1461894)------------------------------
% 20.46/3.52 % (1461894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.46/3.52 % (1461894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.46/3.52 % (1461894)CaDiCaL version: 2.1.3
% 20.46/3.52 % (1461894)Termination reason: Instruction limit
% 20.46/3.52 % (1461894)Termination phase: Saturation
% 20.46/3.52 % (1461894)Time elapsed: 0.113 s
% 20.46/3.52 % (1461894)Peak memory usage: 12 MB
% 20.46/3.52 % (1461894)Instructions burned: 325 (million)
% 20.46/3.52 % (1461897)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2831165281:i=240:kws=inv_precedence:rtra=on_2971 on theBenchmark for (2971ds/240Mi)
% 20.46/3.52 % (1461897)Refutation not found, incomplete strategy
% 20.46/3.52 % (1461897)------------------------------
% 20.46/3.52 % (1461897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.46/3.52 % (1461897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.46/3.52 % (1461897)CaDiCaL version: 2.1.3
% 20.46/3.52 % (1461897)Termination reason: Refutation not found, incomplete strategy
% 20.46/3.52 % (1461897)Time elapsed: 0.001 s
% 20.46/3.52 % (1461897)Peak memory usage: 12 MB
% 20.46/3.52 % (1461897)Instructions burned: 1 (million)
% 20.46/3.52 % (1461897)------------------------------
% 20.46/3.52 % (1461897)------------------------------
% 20.46/3.52 % (1461890)Instruction limit reached!
% 20.46/3.52 % (1461890)------------------------------
% 20.46/3.52 % (1461890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.46/3.52 % (1461890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.46/3.52 % (1461890)CaDiCaL version: 2.1.3
% 20.46/3.52 % (1461890)Termination reason: Instruction limit
% 20.46/3.52 % (1461890)Termination phase: Saturation
% 20.46/3.52 % (1461890)Time elapsed: 0.251 s
% 20.46/3.52 % (1461890)Peak memory usage: 13 MB
% 20.46/3.52 % (1461890)Instructions burned: 412 (million)
% 20.46/3.52 % (1461899)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 20.46/3.52 % (1461899)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=38775372:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/124Mi)
% 20.46/3.52 % (1461900)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=4129490648:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/223Mi)
% 20.46/3.52 % (1461892)Instruction limit reached!
% 20.46/3.52 % (1461892)------------------------------
% 20.46/3.52 % (1461892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.63/3.79 % (1461892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.63/3.79 % (1461892)CaDiCaL version: 2.1.3
% 21.63/3.79 % (1461892)Termination reason: Instruction limit
% 21.63/3.79 % (1461892)Termination phase: Saturation
% 21.63/3.79 % (1461892)Time elapsed: 0.247 s
% 21.63/3.79 % (1461892)Peak memory usage: 12 MB
% 21.63/3.79 % (1461892)Instructions burned: 382 (million)
% 21.63/3.79 % (1461899)Instruction limit reached!
% 21.63/3.79 % (1461899)------------------------------
% 21.63/3.79 % (1461899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.63/3.79 % (1461899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.63/3.79 % (1461899)CaDiCaL version: 2.1.3
% 21.63/3.79 % (1461899)Termination reason: Instruction limit
% 21.63/3.79 % (1461899)Termination phase: Saturation
% 21.63/3.79 % (1461899)Time elapsed: 0.113 s
% 21.63/3.79 % (1461899)Peak memory usage: 12 MB
% 21.63/3.79 % (1461899)Instructions burned: 126 (million)
% 21.63/3.79 % (1461903)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2652633200:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2970 on theBenchmark for (2970ds/282Mi)
% 21.63/3.79 % (1461881)Instruction limit reached!
% 21.63/3.79 % (1461881)------------------------------
% 21.63/3.79 % (1461881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.63/3.79 % (1461881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.63/3.79 % (1461881)CaDiCaL version: 2.1.3
% 21.63/3.79 % (1461881)Termination reason: Instruction limit
% 21.63/3.79 % (1461881)Termination phase: Saturation
% 21.63/3.79 % (1461881)Time elapsed: 0.648 s
% 21.63/3.79 % (1461881)Peak memory usage: 12 MB
% 21.63/3.79 % (1461881)Instructions burned: 876 (million)
% 21.63/3.79 % (1461904)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=1163495580:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/464Mi)
% 21.63/3.79 % (1461904)Refutation not found, incomplete strategy
% 21.63/3.79 % (1461904)------------------------------
% 21.63/3.79 % (1461904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.63/3.79 % (1461904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.63/3.79 % (1461904)CaDiCaL version: 2.1.3
% 21.63/3.79 % (1461904)Termination reason: Refutation not found, incomplete strategy
% 21.63/3.79 % (1461904)Time elapsed: 0.002 s
% 21.63/3.79 % (1461904)Peak memory usage: 11 MB
% 21.63/3.79 % (1461904)Instructions burned: 1 (million)
% 21.63/3.79 % (1461904)------------------------------
% 21.63/3.79 % (1461904)------------------------------
% 21.63/3.79 % (1461906)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=987517699:i=88:s2at=3:nm=2:rtra=on:rawr=on_2969 on theBenchmark for (2969ds/88Mi)
% 21.63/3.79 % (1461908)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2241420213:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2969 on theBenchmark for (2969ds/280Mi)
% 21.63/3.79 % (1461906)Instruction limit reached!
% 21.63/3.79 % (1461906)------------------------------
% 21.63/3.79 % (1461906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.63/3.79 % (1461906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.63/3.79 % (1461906)CaDiCaL version: 2.1.3
% 21.63/3.79 % (1461906)Termination reason: Instruction limit
% 21.63/3.79 % (1461906)Termination phase: Saturation
% 21.63/3.79 % (1461906)Time elapsed: 0.032 s
% 21.63/3.79 % (1461906)Peak memory usage: 12 MB
% 21.63/3.79 % (1461906)Instructions burned: 91 (million)
% 21.63/3.79 % (1461900)Instruction limit reached!
% 21.63/3.79 % (1461900)------------------------------
% 21.63/3.79 % (1461900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.63/3.79 % (1461900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.63/3.79 % (1461900)CaDiCaL version: 2.1.3
% 21.63/3.79 % (1461900)Termination reason: Instruction limit
% 21.63/3.79 % (1461900)Termination phase: Saturation
% 21.63/3.79 % (1461900)Time elapsed: 0.203 s
% 21.63/3.79 % (1461900)Peak memory usage: 12 MB
% 21.63/3.79 % (1461900)Instructions burned: 226 (million)
% 21.63/3.79 % (1461911)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 21.63/3.79 % (1461911)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3143074599:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/4386Mi)
% 22.83/4.10 % (1461912)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 22.83/4.10 % (1461912)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 22.83/4.10 % (1461912)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=4274059896:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2968 on theBenchmark for (2968ds/483Mi)
% 22.83/4.10 % (1461912)Refutation not found, incomplete strategy
% 22.83/4.10 % (1461912)------------------------------
% 22.83/4.10 % (1461912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/4.10 % (1461912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/4.10 % (1461912)CaDiCaL version: 2.1.3
% 22.83/4.10 % (1461912)Termination reason: Refutation not found, incomplete strategy
% 22.83/4.10 % (1461912)Time elapsed: 0.001 s
% 22.83/4.10 % (1461912)Peak memory usage: 12 MB
% 22.83/4.10 % (1461912)------------------------------
% 22.83/4.10 % (1461912)------------------------------
% 22.83/4.10 % (1461915)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=642715545:i=73:rtra=on_2968 on theBenchmark for (2968ds/73Mi)
% 22.83/4.10 % (1461915)Refutation not found, incomplete strategy
% 22.83/4.10 % (1461915)------------------------------
% 22.83/4.10 % (1461915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/4.10 % (1461915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/4.10 % (1461915)CaDiCaL version: 2.1.3
% 22.83/4.10 % (1461915)Termination reason: Refutation not found, incomplete strategy
% 22.83/4.10 % (1461915)Time elapsed: 0.002 s
% 22.83/4.10 % (1461915)Peak memory usage: 11 MB
% 22.83/4.10 % (1461915)Instructions burned: 1 (million)
% 22.83/4.10 % (1461915)------------------------------
% 22.83/4.10 % (1461915)------------------------------
% 22.83/4.10 % (1461908)Instruction limit reached!
% 22.83/4.10 % (1461908)------------------------------
% 22.83/4.10 % (1461908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/4.10 % (1461908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/4.10 % (1461908)CaDiCaL version: 2.1.3
% 22.83/4.10 % (1461908)Termination reason: Instruction limit
% 22.83/4.10 % (1461908)Termination phase: Saturation
% 22.83/4.10 % (1461908)Time elapsed: 0.110 s
% 22.83/4.10 % (1461908)Peak memory usage: 12 MB
% 22.83/4.10 % (1461908)Instructions burned: 281 (million)
% 22.83/4.10 % (1461917)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=75281340:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2968 on theBenchmark for (2968ds/176Mi)
% 22.83/4.10 % (1461918)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 22.83/4.10 % (1461918)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=272873448:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2967 on theBenchmark for (2967ds/39Mi)
% 22.83/4.10 % (1461903)Instruction limit reached!
% 22.83/4.10 % (1461903)------------------------------
% 22.83/4.10 % (1461903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/4.10 % (1461903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/4.10 % (1461903)CaDiCaL version: 2.1.3
% 22.83/4.10 % (1461903)Termination reason: Instruction limit
% 22.83/4.10 % (1461903)Termination phase: Saturation
% 22.83/4.10 % (1461903)Time elapsed: 0.220 s
% 22.83/4.10 % (1461903)Peak memory usage: 12 MB
% 22.83/4.10 % (1461903)Instructions burned: 283 (million)
% 22.83/4.10 % (1461918)Instruction limit reached!
% 22.83/4.10 % (1461918)------------------------------
% 22.83/4.10 % (1461918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/4.10 % (1461918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/4.10 % (1461918)CaDiCaL version: 2.1.3
% 22.83/4.10 % (1461918)Termination reason: Instruction limit
% 22.83/4.10 % (1461918)Termination phase: Saturation
% 22.83/4.10 % (1461918)Time elapsed: 0.021 s
% 22.83/4.10 % (1461918)Peak memory usage: 12 MB
% 22.83/4.10 % (1461918)Instructions burned: 41 (million)
% 22.83/4.10 % (1461921)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1443176444:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2967 on theBenchmark for (2967ds/708Mi)
% 24.80/4.20 % (1461922)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
% 24.80/4.20 % (1461922)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=3914874882:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/252Mi)
% 24.80/4.20 % (1461917)Instruction limit reached!
% 24.80/4.20 % (1461917)------------------------------
% 24.80/4.20 % (1461917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.80/4.20 % (1461917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.80/4.20 % (1461917)CaDiCaL version: 2.1.3
% 24.80/4.20 % (1461917)Termination reason: Instruction limit
% 24.80/4.20 % (1461917)Termination phase: Saturation
% 24.80/4.20 % (1461917)Time elapsed: 0.144 s
% 24.80/4.20 % (1461917)Peak memory usage: 12 MB
% 24.80/4.20 % (1461917)Instructions burned: 176 (million)
% 24.80/4.20 % (1461922)Instruction limit reached!
% 24.80/4.20 % (1461922)------------------------------
% 24.80/4.20 % (1461922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.80/4.20 % (1461922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.80/4.20 % (1461922)CaDiCaL version: 2.1.3
% 24.80/4.20 % (1461922)Termination reason: Instruction limit
% 24.80/4.20 % (1461922)Termination phase: Saturation
% 24.80/4.20 % (1461922)Time elapsed: 0.109 s
% 24.80/4.20 % (1461922)Peak memory usage: 12 MB
% 24.80/4.20 % (1461922)Instructions burned: 253 (million)
% 24.80/4.20 % (1461925)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2673279113:i=823:fsr=off:rtra=on_2966 on theBenchmark for (2966ds/823Mi)
% 24.80/4.20 % (1461864)Instruction limit reached!
% 24.80/4.20 % (1461864)------------------------------
% 24.80/4.20 % (1461864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.80/4.20 % (1461864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.80/4.20 % (1461864)CaDiCaL version: 2.1.3
% 24.80/4.20 % (1461864)Termination reason: Instruction limit
% 24.80/4.20 % (1461864)Termination phase: Saturation
% 24.80/4.20 % (1461864)Time elapsed: 1.327 s
% 24.80/4.20 % (1461864)Peak memory usage: 17 MB
% 24.80/4.20 % (1461864)Instructions burned: 2240 (million)
% 24.80/4.20 % (1461926)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 24.80/4.20 % (1461926)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=739540777:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/16202Mi)
% 24.80/4.20 % (1461926)Refutation not found, incomplete strategy
% 24.80/4.20 % (1461926)------------------------------
% 24.80/4.20 % (1461926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.80/4.20 % (1461926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.80/4.20 % (1461926)CaDiCaL version: 2.1.3
% 24.80/4.20 % (1461926)Termination reason: Refutation not found, incomplete strategy
% 24.80/4.20 % (1461926)Time elapsed: 0.001 s
% 24.80/4.20 % (1461926)Peak memory usage: 11 MB
% 24.80/4.20 % (1461926)Instructions burned: 2 (million)
% 24.80/4.20 % (1461926)------------------------------
% 24.80/4.20 % (1461926)------------------------------
% 24.80/4.20 % (1461930)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 24.80/4.20 % (1461930)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 24.80/4.20 % (1461930)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=419504288:i=177:add=on:bd=preordered:rtra=on:rawr=on_2965 on theBenchmark for (2965ds/177Mi)
% 24.80/4.20 % (1461928)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3491295329:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/300Mi)
% 24.80/4.20 % (1461930)Instruction limit reached!
% 24.80/4.20 % (1461930)------------------------------
% 24.80/4.20 % (1461930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.80/4.20 % (1461930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.54/4.28 % (1461930)CaDiCaL version: 2.1.3
% 25.54/4.28 % (1461930)Termination reason: Instruction limit
% 25.54/4.28 % (1461930)Termination phase: Saturation
% 25.54/4.28 % (1461930)Time elapsed: 0.081 s
% 25.54/4.28 % (1461930)Peak memory usage: 12 MB
% 25.54/4.28 % (1461930)Instructions burned: 178 (million)
% 25.54/4.28 % (1461933)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2156256122:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2964 on theBenchmark for (2964ds/715Mi)
% 25.54/4.28 % (1461933)Refutation not found, incomplete strategy
% 25.54/4.28 % (1461933)------------------------------
% 25.54/4.28 % (1461933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.54/4.28 % (1461933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.54/4.28 % (1461933)CaDiCaL version: 2.1.3
% 25.54/4.28 % (1461933)Termination reason: Refutation not found, incomplete strategy
% 25.54/4.28 % (1461933)Time elapsed: 0.001 s
% 25.54/4.28 % (1461933)Peak memory usage: 11 MB
% 25.54/4.28 % (1461933)Instructions burned: 2 (million)
% 25.54/4.28 % (1461933)------------------------------
% 25.54/4.28 % (1461933)------------------------------
% 25.54/4.28 % (1461935)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 25.54/4.28 % (1461935)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 25.54/4.28 % (1461935)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=2629432304:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2964 on theBenchmark for (2964ds/230Mi)
% 25.54/4.28 % (1461935)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 25.54/4.28 % (1461921)Instruction limit reached!
% 25.54/4.28 % (1461921)------------------------------
% 25.54/4.28 % (1461921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.54/4.28 % (1461921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.54/4.28 % (1461921)CaDiCaL version: 2.1.3
% 25.54/4.28 % (1461921)Termination reason: Instruction limit
% 25.54/4.28 % (1461921)Termination phase: Saturation
% 25.54/4.28 % (1461921)Time elapsed: 0.319 s
% 25.54/4.28 % (1461921)Peak memory usage: 14 MB
% 25.54/4.28 % (1461921)Instructions burned: 710 (million)
% 25.54/4.28 % (1461937)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3677266906:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2964 on theBenchmark for (2964ds/606Mi)
% 25.54/4.28 % (1461935)Instruction limit reached!
% 25.54/4.28 % (1461935)------------------------------
% 25.54/4.28 % (1461935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.54/4.28 % (1461935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.54/4.28 % (1461935)CaDiCaL version: 2.1.3
% 25.54/4.28 % (1461935)Termination reason: Instruction limit
% 25.54/4.28 % (1461935)Termination phase: Saturation
% 25.54/4.28 % (1461935)Time elapsed: 0.104 s
% 25.54/4.28 % (1461935)Peak memory usage: 12 MB
% 25.54/4.28 % (1461935)Instructions burned: 230 (million)
% 25.54/4.28 % (1461928)Instruction limit reached!
% 25.54/4.28 % (1461928)------------------------------
% 25.54/4.28 % (1461928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.54/4.28 % (1461928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.54/4.28 % (1461928)CaDiCaL version: 2.1.3
% 25.54/4.28 % (1461928)Termination reason: Instruction limit
% 25.54/4.28 % (1461928)Termination phase: Saturation
% 25.54/4.28 % (1461928)Time elapsed: 0.231 s
% 25.54/4.28 % (1461928)Peak memory usage: 12 MB
% 25.54/4.28 % (1461928)Instructions burned: 302 (million)
% 25.54/4.28 % (1461939)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 25.54/4.28 % (1461939)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=1171891907:lrd=on:i=841:nm=0:rtra=on_2963 on theBenchmark for (2963ds/841Mi)
% 25.54/4.28 % (1461940)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1147641785:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2963 on theBenchmark for (2963ds/445Mi)
% 25.54/4.28 % (1461925)Instruction limit reached!
% 25.54/4.28 % (1461925)------------------------------
% 25.54/4.28 % (1461925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.81/4.34 % (1461925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.81/4.34 % (1461925)CaDiCaL version: 2.1.3
% 25.81/4.34 % (1461925)Termination reason: Instruction limit
% 25.81/4.34 % (1461925)Termination phase: Saturation
% 25.81/4.34 % (1461925)Time elapsed: 0.444 s
% 25.81/4.34 % (1461925)Peak memory usage: 13 MB
% 25.81/4.34 % (1461925)Instructions burned: 829 (million)
% 25.81/4.34 % (1461943)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1684068033:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2961 on theBenchmark for (2961ds/71Mi)
% 25.81/4.34 % (1461937)Instruction limit reached!
% 25.81/4.34 % (1461937)------------------------------
% 25.81/4.34 % (1461937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.81/4.34 % (1461937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.81/4.34 % (1461937)CaDiCaL version: 2.1.3
% 25.81/4.34 % (1461937)Termination reason: Instruction limit
% 25.81/4.34 % (1461937)Termination phase: Saturation
% 25.81/4.34 % (1461937)Time elapsed: 0.271 s
% 25.81/4.34 % (1461937)Peak memory usage: 12 MB
% 25.81/4.34 % (1461937)Instructions burned: 608 (million)
% 25.81/4.34 % (1461945)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
% 25.81/4.34 % (1461945)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 25.81/4.34 % (1461945)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=944143143:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2961 on theBenchmark for (2961ds/100Mi)
% 25.81/4.34 % (1461943)Instruction limit reached!
% 25.81/4.34 % (1461943)------------------------------
% 25.81/4.34 % (1461943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.81/4.34 % (1461943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.81/4.34 % (1461943)CaDiCaL version: 2.1.3
% 25.81/4.34 % (1461943)Termination reason: Instruction limit
% 25.81/4.34 % (1461943)Termination phase: Saturation
% 25.81/4.34 % (1461943)Time elapsed: 0.039 s
% 25.81/4.34 % (1461943)Peak memory usage: 12 MB
% 25.81/4.34 % (1461943)Instructions burned: 72 (million)
% 25.81/4.34 % (1461947)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 25.81/4.34 % (1461947)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=360120666:i=1352:add=on:aac=none:rtra=on_2960 on theBenchmark for (2960ds/1352Mi)
% 25.81/4.34 % (1461947)Refutation not found, incomplete strategy
% 25.81/4.34 % (1461947)------------------------------
% 25.81/4.34 % (1461947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.81/4.34 % (1461947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.81/4.34 % (1461947)CaDiCaL version: 2.1.3
% 25.81/4.34 % (1461947)Termination reason: Refutation not found, incomplete strategy
% 25.81/4.34 % (1461947)Time elapsed: 0.002 s
% 25.81/4.34 % (1461947)Peak memory usage: 11 MB
% 25.81/4.34 % (1461947)Instructions burned: 3 (million)
% 25.81/4.34 % (1461947)------------------------------
% 25.81/4.34 % (1461947)------------------------------
% 25.81/4.34 % (1461940)Instruction limit reached!
% 25.81/4.34 % (1461940)------------------------------
% 25.81/4.34 % (1461940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.81/4.34 % (1461940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.81/4.34 % (1461940)CaDiCaL version: 2.1.3
% 25.81/4.34 % (1461940)Termination reason: Instruction limit
% 25.81/4.34 % (1461940)Termination phase: Saturation
% 25.81/4.34 % (1461940)Time elapsed: 0.218 s
% 25.81/4.34 % (1461940)Peak memory usage: 14 MB
% 25.81/4.34 % (1461940)Instructions burned: 445 (million)
% 25.81/4.34 % (1461945)Instruction limit reached!
% 25.81/4.34 % (1461945)------------------------------
% 25.81/4.34 % (1461945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.81/4.34 % (1461945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.81/4.34 % (1461945)CaDiCaL version: 2.1.3
% 25.81/4.34 % (1461945)Termination reason: Instruction limit
% 25.81/4.34 % (1461945)Termination phase: Saturation
% 25.81/4.34 % (1461945)Time elapsed: 0.045 s
% 26.15/4.45 % (1461945)Peak memory usage: 12 MB
% 26.15/4.45 % (1461945)Instructions burned: 101 (million)
% 26.15/4.45 % (1461949)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=3258084247:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2960 on theBenchmark for (2960ds/646Mi)
% 26.15/4.45 % (1461950)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=123121850:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2960 on theBenchmark for (2960ds/1924Mi)
% 26.15/4.45 % (1461950)Refutation not found, incomplete strategy
% 26.15/4.45 % (1461950)------------------------------
% 26.15/4.45 % (1461950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.45 % (1461950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.45 % (1461950)CaDiCaL version: 2.1.3
% 26.15/4.45 % (1461950)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.45 % (1461950)Time elapsed: 0.001 s
% 26.15/4.45 % (1461950)Peak memory usage: 11 MB
% 26.15/4.45 % (1461950)------------------------------
% 26.15/4.45 % (1461950)------------------------------
% 26.15/4.45 % (1461951)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=430256628:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2960 on theBenchmark for (2960ds/984Mi)
% 26.15/4.45 % (1461951)Refutation not found, incomplete strategy
% 26.15/4.45 % (1461951)------------------------------
% 26.15/4.45 % (1461951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.45 % (1461951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.45 % (1461951)CaDiCaL version: 2.1.3
% 26.15/4.45 % (1461951)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.45 % (1461951)Time elapsed: 0.002 s
% 26.15/4.45 % (1461951)Peak memory usage: 11 MB
% 26.15/4.45 % (1461951)Instructions burned: 1 (million)
% 26.15/4.45 % (1461951)------------------------------
% 26.15/4.45 % (1461951)------------------------------
% 26.15/4.45 % (1461955)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=2985367480:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2960 on theBenchmark for (2960ds/592Mi)
% 26.15/4.45 % (1461721)Instruction limit reached!
% 26.15/4.45 % (1461721)------------------------------
% 26.15/4.45 % (1461721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.45 % (1461721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.45 % (1461721)CaDiCaL version: 2.1.3
% 26.15/4.45 % (1461721)Termination reason: Instruction limit
% 26.15/4.45 % (1461721)Termination phase: Saturation
% 26.15/4.45 % (1461721)Time elapsed: 3.294 s
% 26.15/4.45 % (1461721)Peak memory usage: 13 MB
% 26.15/4.45 % (1461721)Instructions burned: 9840 (million)
% 26.15/4.45 % (1461957)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=3944171423:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2960 on theBenchmark for (2960ds/872Mi)
% 26.15/4.45 % (1461957)Refutation not found, incomplete strategy
% 26.15/4.45 % (1461957)------------------------------
% 26.15/4.45 % (1461957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.45 % (1461957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.45 % (1461957)CaDiCaL version: 2.1.3
% 26.15/4.45 % (1461957)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.45 % (1461957)Time elapsed: 0.005 s
% 26.15/4.45 % (1461957)Peak memory usage: 11 MB
% 26.15/4.45 % (1461957)------------------------------
% 26.15/4.45 % (1461957)------------------------------
% 26.15/4.45 % (1461959)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 26.15/4.45 % (1461959)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=3411101721:i=999:add=on:rtra=on_2959 on theBenchmark for (2959ds/999Mi)
% 26.15/4.45 % (1461961)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 26.15/4.45 % (1461961)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=1262548540:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2959 on theBenchmark for (2959ds/244Mi)
% 26.15/4.45 % (1461961)Refutation not found, incomplete strategy
% 26.70/4.57 % (1461961)------------------------------
% 26.70/4.57 % (1461961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.70/4.57 % (1461961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.70/4.57 % (1461961)CaDiCaL version: 2.1.3
% 26.70/4.57 % (1461961)Termination reason: Refutation not found, incomplete strategy
% 26.70/4.57 % (1461961)Time elapsed: 0.001 s
% 26.70/4.57 % (1461961)Peak memory usage: 12 MB
% 26.70/4.57 % (1461961)Instructions burned: 3 (million)
% 26.70/4.57 % (1461961)------------------------------
% 26.70/4.57 % (1461961)------------------------------
% 26.70/4.57 % (1461964)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=4197042735:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2959 on theBenchmark for (2959ds/113Mi)
% 26.70/4.57 % (1461964)Refutation not found, incomplete strategy
% 26.70/4.57 % (1461964)------------------------------
% 26.70/4.57 % (1461964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.70/4.57 % (1461964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.70/4.57 % (1461964)CaDiCaL version: 2.1.3
% 26.70/4.57 % (1461964)Termination reason: Refutation not found, incomplete strategy
% 26.70/4.57 % (1461964)Time elapsed: 0.0000 s
% 26.70/4.57 % (1461964)Peak memory usage: 11 MB
% 26.70/4.57 % (1461964)Instructions burned: 1 (million)
% 26.70/4.57 % (1461964)------------------------------
% 26.70/4.57 % (1461964)------------------------------
% 26.70/4.57 % (1461966)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=774628458:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/7795Mi)
% 26.70/4.57 % (1461966)Refutation not found, incomplete strategy
% 26.70/4.57 % (1461966)------------------------------
% 26.70/4.57 % (1461966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.70/4.57 % (1461966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.70/4.57 % (1461966)CaDiCaL version: 2.1.3
% 26.70/4.57 % (1461966)Termination reason: Refutation not found, incomplete strategy
% 26.70/4.57 % (1461966)Time elapsed: 0.0000 s
% 26.70/4.57 % (1461966)Peak memory usage: 11 MB
% 26.70/4.57 % (1461966)------------------------------
% 26.70/4.57 % (1461966)------------------------------
% 26.70/4.57 % (1461968)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3900111900:st=2:i=5026:sd=1:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/5026Mi)
% 26.70/4.57 % (1461968)Refutation not found, incomplete strategy
% 26.70/4.57 % (1461968)------------------------------
% 26.70/4.57 % (1461968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.70/4.57 % (1461968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.70/4.57 % (1461968)CaDiCaL version: 2.1.3
% 26.70/4.57 % (1461968)Termination reason: Refutation not found, incomplete strategy
% 26.70/4.57 % (1461968)Time elapsed: 0.0000 s
% 26.70/4.57 % (1461968)Peak memory usage: 11 MB
% 26.70/4.57 % (1461968)------------------------------
% 26.70/4.57 % (1461968)------------------------------
% 26.70/4.57 % (1461970)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 26.70/4.57 % (1461970)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=360002369:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2959 on theBenchmark for (2959ds/763Mi)
% 26.70/4.57 % (1461970)Refutation not found, incomplete strategy
% 26.70/4.57 % (1461970)------------------------------
% 26.70/4.57 % (1461970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.70/4.57 % (1461970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.70/4.57 % (1461970)CaDiCaL version: 2.1.3
% 26.70/4.57 % (1461970)Termination reason: Refutation not found, incomplete strategy
% 26.70/4.57 % (1461970)Time elapsed: 0.0000 s
% 26.70/4.57 % (1461970)Peak memory usage: 11 MB
% 26.70/4.57 % (1461970)Instructions burned: 1 (million)
% 26.70/4.57 % (1461970)------------------------------
% 26.70/4.57 % (1461970)------------------------------
% 26.70/4.57 % (1461972)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4208371503:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2959 on theBenchmark for (2959ds/1144Mi)
% 26.70/4.57 % (1461972)Refutation not found, incomplete strategy
% 26.70/4.57 % (1461972)------------------------------
% 26.70/4.57 % (1461972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.25/4.87 % (1461972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.25/4.87 % (1461972)CaDiCaL version: 2.1.3
% 28.25/4.87 % (1461972)Termination reason: Refutation not found, incomplete strategy
% 28.25/4.87 % (1461972)Time elapsed: 0.0000 s
% 28.25/4.87 % (1461972)Peak memory usage: 11 MB
% 28.25/4.87 % (1461972)------------------------------
% 28.25/4.87 % (1461972)------------------------------
% 28.25/4.87 % (1461974)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 28.25/4.87 % (1461974)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=2034341910:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2959 on theBenchmark for (2959ds/52Mi)
% 28.25/4.87 % (1461939)Instruction limit reached!
% 28.25/4.87 % (1461939)------------------------------
% 28.25/4.87 % (1461939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.25/4.87 % (1461939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.25/4.87 % (1461939)CaDiCaL version: 2.1.3
% 28.25/4.87 % (1461939)Termination reason: Instruction limit
% 28.25/4.87 % (1461939)Termination phase: Saturation
% 28.25/4.87 % (1461939)Time elapsed: 0.403 s
% 28.25/4.87 % (1461939)Peak memory usage: 13 MB
% 28.25/4.87 % (1461939)Instructions burned: 841 (million)
% 28.25/4.87 % (1461974)Instruction limit reached!
% 28.25/4.87 % (1461974)------------------------------
% 28.25/4.87 % (1461974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.25/4.87 % (1461974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.25/4.87 % (1461974)CaDiCaL version: 2.1.3
% 28.25/4.87 % (1461974)Termination reason: Instruction limit
% 28.25/4.87 % (1461974)Termination phase: Saturation
% 28.25/4.87 % (1461974)Time elapsed: 0.011 s
% 28.25/4.87 % (1461974)Peak memory usage: 12 MB
% 28.25/4.87 % (1461974)Instructions burned: 56 (million)
% 28.25/4.87 % (1461977)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=3197982621:i=439:add=on:slsql=off:rtra=on:ntd=on_2958 on theBenchmark for (2958ds/439Mi)
% 28.25/4.87 % (1461976)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=1514601929:i=1724:fsr=off:rtra=on:fe=abstraction_2958 on theBenchmark for (2958ds/1724Mi)
% 28.25/4.87 % (1461949)Instruction limit reached!
% 28.25/4.87 % (1461949)------------------------------
% 28.25/4.87 % (1461949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.25/4.87 % (1461949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.25/4.87 % (1461949)CaDiCaL version: 2.1.3
% 28.25/4.87 % (1461949)Termination reason: Instruction limit
% 28.25/4.87 % (1461949)Termination phase: Saturation
% 28.25/4.87 % (1461949)Time elapsed: 0.210 s
% 28.25/4.87 % (1461949)Peak memory usage: 14 MB
% 28.25/4.87 % (1461949)Instructions burned: 647 (million)
% 28.25/4.87 % (1461980)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1258068257:i=6395:sd=1:rtra=on:ss=axioms_2958 on theBenchmark for (2958ds/6395Mi)
% 28.25/4.87 % (1461980)Refutation not found, incomplete strategy
% 28.25/4.87 % (1461980)------------------------------
% 28.25/4.87 % (1461980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.25/4.87 % (1461980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.25/4.87 % (1461980)CaDiCaL version: 2.1.3
% 28.25/4.87 % (1461980)Termination reason: Refutation not found, incomplete strategy
% 28.25/4.87 % (1461980)Time elapsed: 0.001 s
% 28.25/4.87 % (1461980)Peak memory usage: 11 MB
% 28.25/4.87 % (1461980)------------------------------
% 28.25/4.87 % (1461980)------------------------------
% 28.25/4.87 % (1461982)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 28.25/4.87 % (1461977)Instruction limit reached!
% 28.25/4.87 % (1461977)------------------------------
% 28.25/4.87 % (1461977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.25/4.87 % (1461977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.25/4.87 % (1461977)CaDiCaL version: 2.1.3
% 28.25/4.87 % (1461977)Termination reason: Instruction limit
% 28.25/4.87 % (1461977)Termination phase: Saturation
% 28.25/4.87 % (1461977)Time elapsed: 0.077 s
% 28.25/4.87 % (1461977)Peak memory usage: 13 MB
% 28.25/4.87 % (1461977)Instructions burned: 441 (million)
% 28.25/4.87 % (1461982)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=2859362901:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2958 on theBenchmark for (2958ds/6762Mi)
% 29.64/5.12 % (1461982)Refutation not found, incomplete strategy
% 29.64/5.12 % (1461982)------------------------------
% 29.64/5.12 % (1461982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.64/5.12 % (1461982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.64/5.12 % (1461982)CaDiCaL version: 2.1.3
% 29.64/5.12 % (1461982)Termination reason: Refutation not found, incomplete strategy
% 29.64/5.12 % (1461982)Time elapsed: 0.001 s
% 29.64/5.12 % (1461982)Peak memory usage: 11 MB
% 29.64/5.12 % (1461982)------------------------------
% 29.64/5.12 % (1461982)------------------------------
% 29.64/5.12 % (1461983)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 29.64/5.12 % (1461983)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=1496796469:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2958 on theBenchmark for (2958ds/376Mi)
% 29.64/5.12 % (1461985)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=4046996225:i=965:bd=all:ins=4:rtra=on_2957 on theBenchmark for (2957ds/965Mi)
% 29.64/5.12 % (1461955)Instruction limit reached!
% 29.64/5.12 % (1461955)------------------------------
% 29.64/5.12 % (1461955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.64/5.12 % (1461955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.64/5.12 % (1461955)CaDiCaL version: 2.1.3
% 29.64/5.12 % (1461955)Termination reason: Instruction limit
% 29.64/5.12 % (1461955)Termination phase: Saturation
% 29.64/5.12 % (1461955)Time elapsed: 0.306 s
% 29.64/5.12 % (1461955)Peak memory usage: 12 MB
% 29.64/5.12 % (1461955)Instructions burned: 594 (million)
% 29.64/5.12 % (1461988)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1290757660:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2957 on theBenchmark for (2957ds/5013Mi)
% 29.64/5.12 % (1461988)Refutation not found, incomplete strategy
% 29.64/5.12 % (1461988)------------------------------
% 29.64/5.12 % (1461988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.64/5.12 % (1461988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.64/5.12 % (1461988)CaDiCaL version: 2.1.3
% 29.64/5.12 % (1461988)Termination reason: Refutation not found, incomplete strategy
% 29.64/5.12 % (1461988)Time elapsed: 0.001 s
% 29.64/5.12 % (1461988)Peak memory usage: 11 MB
% 29.64/5.12 % (1461988)------------------------------
% 29.64/5.12 % (1461988)------------------------------
% 29.64/5.12 % (1461983)Instruction limit reached!
% 29.64/5.12 % (1461983)------------------------------
% 29.64/5.12 % (1461983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.64/5.12 % (1461983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.64/5.12 % (1461983)CaDiCaL version: 2.1.3
% 29.64/5.12 % (1461983)Termination reason: Instruction limit
% 29.64/5.12 % (1461983)Termination phase: Saturation
% 29.64/5.12 % (1461983)Time elapsed: 0.101 s
% 29.64/5.12 % (1461983)Peak memory usage: 14 MB
% 29.64/5.12 % (1461983)Instructions burned: 377 (million)
% 29.64/5.12 % (1461991)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 29.64/5.12 % (1461991)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 29.64/5.12 % (1461991)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 29.64/5.12 % (1461991)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 29.64/5.12 % (1461991)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=785689307:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2956 on theBenchmark for (2956ds/1774Mi)
% 29.64/5.12 % (1461990)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3571708391:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2956 on theBenchmark for (2956ds/1583Mi)
% 32.36/5.28 % (1461991)Refutation not found, incomplete strategy
% 32.36/5.28 % (1461991)------------------------------
% 32.36/5.28 % (1461991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.36/5.28 % (1461991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.36/5.28 % (1461991)CaDiCaL version: 2.1.3
% 32.36/5.28 % (1461991)Termination reason: Refutation not found, incomplete strategy
% 32.36/5.28 % (1461991)Time elapsed: 0.0000 s
% 32.36/5.28 % (1461991)Peak memory usage: 11 MB
% 32.36/5.28 % (1461991)------------------------------
% 32.36/5.28 % (1461991)------------------------------
% 32.36/5.28 % (1461994)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2891746065:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2956 on theBenchmark for (2956ds/515Mi)
% 32.36/5.28 % (1461994)Refutation not found, incomplete strategy
% 32.36/5.28 % (1461994)------------------------------
% 32.36/5.28 % (1461994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.36/5.28 % (1461994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.36/5.28 % (1461994)CaDiCaL version: 2.1.3
% 32.36/5.28 % (1461994)Termination reason: Refutation not found, incomplete strategy
% 32.36/5.28 % (1461994)Time elapsed: 0.0000 s
% 32.36/5.28 % (1461994)Peak memory usage: 12 MB
% 32.36/5.28 % (1461994)Instructions burned: 1 (million)
% 32.36/5.28 % (1461994)------------------------------
% 32.36/5.28 % (1461994)------------------------------
% 32.36/5.28 % (1461996)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 32.36/5.28 % (1461996)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=3548701208:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2956 on theBenchmark for (2956ds/1297Mi)
% 32.36/5.28 % (1461959)Instruction limit reached!
% 32.36/5.28 % (1461959)------------------------------
% 32.36/5.28 % (1461959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.36/5.28 % (1461959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.36/5.28 % (1461959)CaDiCaL version: 2.1.3
% 32.36/5.28 % (1461959)Termination reason: Instruction limit
% 32.36/5.28 % (1461959)Termination phase: Saturation
% 32.36/5.28 % (1461959)Time elapsed: 0.434 s
% 32.36/5.28 % (1461959)Peak memory usage: 14 MB
% 32.36/5.28 % (1461959)Instructions burned: 1001 (million)
% 32.36/5.28 % (1461998)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=4277585358:s2a=on:i=611:rtra=on:gsp=on_2955 on theBenchmark for (2955ds/611Mi)
% 32.36/5.28 % (1461998)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 32.36/5.28 % (1461996)Instruction limit reached!
% 32.36/5.28 % (1461996)------------------------------
% 32.36/5.28 % (1461996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.36/5.28 % (1461996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.36/5.28 % (1461996)CaDiCaL version: 2.1.3
% 32.36/5.28 % (1461996)Termination reason: Instruction limit
% 32.36/5.28 % (1461996)Termination phase: Saturation
% 32.36/5.28 % (1461996)Time elapsed: 0.264 s
% 32.36/5.28 % (1461996)Peak memory usage: 13 MB
% 32.36/5.28 % (1461996)Instructions burned: 1301 (million)
% 32.36/5.28 % (1461985)Instruction limit reached!
% 32.36/5.28 % (1461985)------------------------------
% 32.36/5.28 % (1461985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.36/5.28 % (1461985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.36/5.28 % (1461985)CaDiCaL version: 2.1.3
% 32.36/5.28 % (1461985)Termination reason: Instruction limit
% 32.36/5.28 % (1461985)Termination phase: Saturation
% 32.36/5.28 % (1461985)Time elapsed: 0.391 s
% 32.36/5.28 % (1461985)Peak memory usage: 16 MB
% 32.36/5.28 % (1461985)Instructions burned: 967 (million)
% 32.36/5.28 % (1462000)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 32.36/5.28 % (1462000)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3477988200:i=72:bd=all:rtra=on_2953 on theBenchmark for (2953ds/72Mi)
% 32.36/5.28 % (1462000)Refutation not found, incomplete strategy
% 32.36/5.28 % (1462000)------------------------------
% 32.36/5.28 % (1462000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.83/5.81 % (1462000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.83/5.81 % (1462000)CaDiCaL version: 2.1.3
% 34.83/5.81 % (1462000)Termination reason: Refutation not found, incomplete strategy
% 34.83/5.81 % (1462000)Time elapsed: 0.0000 s
% 34.83/5.81 % (1462000)Peak memory usage: 11 MB
% 34.83/5.81 % (1462000)Instructions burned: 1 (million)
% 34.83/5.81 % (1462000)------------------------------
% 34.83/5.81 % (1462000)------------------------------
% 34.83/5.81 % (1462003)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=4291309288:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2953 on theBenchmark for (2953ds/6209Mi)
% 34.83/5.81 % (1462003)Refutation not found, incomplete strategy
% 34.83/5.81 % (1462003)------------------------------
% 34.83/5.81 % (1462003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.83/5.81 % (1462003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.83/5.81 % (1462003)CaDiCaL version: 2.1.3
% 34.83/5.81 % (1462003)Termination reason: Refutation not found, incomplete strategy
% 34.83/5.81 % (1462003)Time elapsed: 0.0000 s
% 34.83/5.81 % (1462003)Peak memory usage: 11 MB
% 34.83/5.81 % (1462001)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=4110684022:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2953 on theBenchmark for (2953ds/6580Mi)
% 34.83/5.81 % (1462003)------------------------------
% 34.83/5.81 % (1462003)------------------------------
% 34.83/5.81 % (1462006)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=1933668109:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2953 on theBenchmark for (2953ds/1003Mi)
% 34.83/5.81 % (1461998)Instruction limit reached!
% 34.83/5.81 % (1461998)------------------------------
% 34.83/5.81 % (1461998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.83/5.81 % (1461998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.83/5.81 % (1461998)CaDiCaL version: 2.1.3
% 34.83/5.81 % (1461998)Termination reason: Instruction limit
% 34.83/5.81 % (1461998)Termination phase: Saturation
% 34.83/5.81 % (1461998)Time elapsed: 0.230 s
% 34.83/5.81 % (1461998)Peak memory usage: 13 MB
% 34.83/5.81 % (1461998)Instructions burned: 614 (million)
% 34.83/5.81 % (1462008)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 34.83/5.81 % (1462008)ott+1002_16_sil=128000:si=on:random_seed=4093168887:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2952 on theBenchmark for (2952ds/409Mi)
% 34.83/5.81 % (1462006)Instruction limit reached!
% 34.83/5.81 % (1462006)------------------------------
% 34.83/5.81 % (1462006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.83/5.81 % (1462006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.83/5.81 % (1462006)CaDiCaL version: 2.1.3
% 34.83/5.81 % (1462006)Termination reason: Instruction limit
% 34.83/5.81 % (1462006)Termination phase: Saturation
% 34.83/5.81 % (1462006)Time elapsed: 0.214 s
% 34.83/5.81 % (1462006)Peak memory usage: 13 MB
% 34.83/5.81 % (1462006)Instructions burned: 1007 (million)
% 34.83/5.81 % (1462010)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=4031688240:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2951 on theBenchmark for (2951ds/403Mi)
% 34.83/5.82 % (1461976)Instruction limit reached!
% 34.83/5.82 % (1461976)------------------------------
% 34.83/5.82 % (1461976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.83/5.82 % (1461976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.83/5.82 % (1461976)CaDiCaL version: 2.1.3
% 34.83/5.82 % (1461976)Termination reason: Instruction limit
% 34.83/5.82 % (1461976)Termination phase: Saturation
% 34.83/5.82 % (1461976)Time elapsed: 0.746 s
% 34.83/5.82 % (1461976)Peak memory usage: 13 MB
% 34.83/5.82 % (1461976)Instructions burned: 1726 (million)
% 34.83/5.82 % (1462010)Refutation not found, incomplete strategy
% 34.83/5.82 % (1462010)------------------------------
% 34.83/5.82 % (1462010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.83/5.82 % (1462010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.83/5.82 % (1462010)CaDiCaL version: 2.1.3
% 36.50/6.10 % (1462010)Termination reason: Refutation not found, incomplete strategy
% 36.50/6.10 % (1462010)Time elapsed: 0.0000 s
% 36.50/6.10 % (1462010)Peak memory usage: 11 MB
% 36.50/6.10 % (1462010)Instructions burned: 1 (million)
% 36.50/6.10 % (1462010)------------------------------
% 36.50/6.10 % (1462010)------------------------------
% 36.50/6.10 % (1462008)Instruction limit reached!
% 36.50/6.10 % (1462008)------------------------------
% 36.50/6.10 % (1462008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.10 % (1462008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.10 % (1462008)CaDiCaL version: 2.1.3
% 36.50/6.10 % (1462008)Termination reason: Instruction limit
% 36.50/6.10 % (1462008)Termination phase: Saturation
% 36.50/6.10 % (1462008)Time elapsed: 0.147 s
% 36.50/6.10 % (1462008)Peak memory usage: 13 MB
% 36.50/6.10 % (1462008)Instructions burned: 410 (million)
% 36.50/6.10 % (1462013)lrs+10_2:1_si=on:random_seed=2182175664:s2a=on:i=506:rtra=on:fe=abstraction_2951 on theBenchmark for (2951ds/506Mi)
% 36.50/6.10 % (1462012)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=1973318827:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2951 on theBenchmark for (2951ds/6843Mi)
% 36.50/6.10 % (1462012)Refutation not found, incomplete strategy
% 36.50/6.10 % (1462012)------------------------------
% 36.50/6.10 % (1462012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.10 % (1462012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.10 % (1462012)CaDiCaL version: 2.1.3
% 36.50/6.10 % (1462012)Termination reason: Refutation not found, incomplete strategy
% 36.50/6.10 % (1462012)Time elapsed: 0.001 s
% 36.50/6.10 % (1462012)Peak memory usage: 11 MB
% 36.50/6.10 % (1462012)Instructions burned: 1 (million)
% 36.50/6.10 % (1462012)------------------------------
% 36.50/6.10 % (1462012)------------------------------
% 36.50/6.10 % (1462014)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=1798777284:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2951 on theBenchmark for (2951ds/888Mi)
% 36.50/6.10 % (1462017)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 36.50/6.11 % (1462017)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=3097527859:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2951 on theBenchmark for (2951ds/416Mi)
% 36.50/6.11 % (1462013)Instruction limit reached!
% 36.50/6.11 % (1462013)------------------------------
% 36.50/6.11 % (1462013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.11 % (1462013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.11 % (1462013)CaDiCaL version: 2.1.3
% 36.50/6.11 % (1462013)Termination reason: Instruction limit
% 36.50/6.11 % (1462013)Termination phase: Saturation
% 36.50/6.11 % (1462013)Time elapsed: 0.117 s
% 36.50/6.11 % (1462013)Peak memory usage: 13 MB
% 36.50/6.11 % (1462013)Instructions burned: 509 (million)
% 36.50/6.11 % (1462021)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=3717229861:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2950 on theBenchmark for (2950ds/13534Mi)
% 36.50/6.11 % (1462021)Refutation not found, incomplete strategy
% 36.50/6.11 % (1462021)------------------------------
% 36.50/6.11 % (1462021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.11 % (1462021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.11 % (1462021)CaDiCaL version: 2.1.3
% 36.50/6.11 % (1462021)Termination reason: Refutation not found, incomplete strategy
% 36.50/6.11 % (1462021)Time elapsed: 0.0000 s
% 36.50/6.11 % (1462021)Peak memory usage: 11 MB
% 36.50/6.11 % (1462021)------------------------------
% 36.50/6.11 % (1462021)------------------------------
% 36.50/6.11 % (1462023)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 36.50/6.11 % (1462023)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=3894674938:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2949 on theBenchmark for (2949ds/206Mi)
% 40.61/6.53 % (1462023)Instruction limit reached!
% 40.61/6.53 % (1462023)------------------------------
% 40.61/6.53 % (1462023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.61/6.53 % (1462023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.61/6.53 % (1462023)CaDiCaL version: 2.1.3
% 40.61/6.53 % (1462023)Termination reason: Instruction limit
% 40.61/6.53 % (1462023)Termination phase: Saturation
% 40.61/6.53 % (1462023)Time elapsed: 0.056 s
% 40.61/6.53 % (1462023)Peak memory usage: 12 MB
% 40.61/6.53 % (1462023)Instructions burned: 208 (million)
% 40.61/6.53 % (1462028)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=43872729:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2949 on theBenchmark for (2949ds/2295Mi)
% 40.61/6.53 % (1461990)Instruction limit reached!
% 40.61/6.53 % (1461990)------------------------------
% 40.61/6.53 % (1461990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.61/6.53 % (1461990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.61/6.53 % (1461990)CaDiCaL version: 2.1.3
% 40.61/6.53 % (1461990)Termination reason: Instruction limit
% 40.61/6.53 % (1461990)Termination phase: Saturation
% 40.61/6.53 % (1461990)Time elapsed: 0.785 s
% 40.61/6.53 % (1461990)Peak memory usage: 13 MB
% 40.61/6.53 % (1461990)Instructions burned: 1583 (million)
% 40.61/6.53 % (1462031)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=850945475:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2948 on theBenchmark for (2948ds/637Mi)
% 40.61/6.53 % (1461911)Instruction limit reached!
% 40.61/6.53 % (1461911)------------------------------
% 40.61/6.53 % (1461911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.61/6.53 % (1461911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.61/6.53 % (1461911)CaDiCaL version: 2.1.3
% 40.61/6.53 % (1461911)Termination reason: Instruction limit
% 40.61/6.53 % (1461911)Termination phase: Saturation
% 40.61/6.53 % (1461911)Time elapsed: 2.016 s
% 40.61/6.53 % (1461911)Peak memory usage: 17 MB
% 40.61/6.53 % (1461911)Instructions burned: 4387 (million)
% 40.61/6.53 % (1462033)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=1125348001:hsq=on:i=667:rtra=on:ixr=off_2948 on theBenchmark for (2948ds/667Mi)
% 40.61/6.53 % (1462017)Instruction limit reached!
% 40.61/6.53 % (1462017)------------------------------
% 40.61/6.53 % (1462017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.61/6.53 % (1462017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.61/6.53 % (1462017)CaDiCaL version: 2.1.3
% 40.61/6.53 % (1462017)Termination reason: Instruction limit
% 40.61/6.53 % (1462017)Termination phase: Saturation
% 40.61/6.53 % (1462017)Time elapsed: 0.308 s
% 40.61/6.53 % (1462017)Peak memory usage: 14 MB
% 40.61/6.53 % (1462017)Instructions burned: 416 (million)
% 40.61/6.53 % (1462035)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=2115087246:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2947 on theBenchmark for (2947ds/1801Mi)
% 40.61/6.53 % (1462014)Instruction limit reached!
% 40.61/6.53 % (1462014)------------------------------
% 40.61/6.53 % (1462014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.61/6.53 % (1462014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.61/6.53 % (1462014)CaDiCaL version: 2.1.3
% 40.61/6.53 % (1462014)Termination reason: Instruction limit
% 40.61/6.53 % (1462014)Termination phase: Saturation
% 40.61/6.53 % (1462014)Time elapsed: 0.433 s
% 40.61/6.53 % (1462014)Peak memory usage: 12 MB
% 40.61/6.53 % (1462014)Instructions burned: 891 (million)
% 40.61/6.53 % (1462037)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=1804000242:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2946 on theBenchmark for (2946ds/555Mi)
% 40.61/6.53 % (1462037)Instruction limit reached!
% 40.61/6.53 % (1462037)------------------------------
% 40.61/6.53 % (1462037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.61/6.53 % (1462037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.61/6.53 % (1462037)CaDiCaL version: 2.1.3
% 40.61/6.53 % (1462037)Termination reason: Instruction limit
% 40.61/6.53 % (1462037)Termination phase: Saturation
% 40.61/6.53 % (1462037)Time elapsed: 0.212 s
% 40.61/6.53 % (1462037)Peak memory usage: 11 MB
% 40.61/6.53 % (1462037)Instructions burned: 557 (million)
% 42.52/7.12 % (1462039)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=3137132765:i=88:s2at=3:nm=2:rtra=on:rawr=on_2944 on theBenchmark for (2944ds/88Mi)
% 42.52/7.12 % (1462033)Instruction limit reached!
% 42.52/7.12 % (1462033)------------------------------
% 42.52/7.12 % (1462033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.52/7.12 % (1462033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.52/7.12 % (1462033)CaDiCaL version: 2.1.3
% 42.52/7.12 % (1462033)Termination reason: Instruction limit
% 42.52/7.12 % (1462033)Termination phase: Saturation
% 42.52/7.12 % (1462033)Time elapsed: 0.432 s
% 42.52/7.12 % (1462033)Peak memory usage: 12 MB
% 42.52/7.12 % (1462033)Instructions burned: 668 (million)
% 42.52/7.12 % (1462039)Instruction limit reached!
% 42.52/7.12 % (1462039)------------------------------
% 42.52/7.12 % (1462039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.52/7.12 % (1462039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.52/7.12 % (1462039)CaDiCaL version: 2.1.3
% 42.52/7.12 % (1462039)Termination reason: Instruction limit
% 42.52/7.12 % (1462039)Termination phase: Saturation
% 42.52/7.12 % (1462039)Time elapsed: 0.054 s
% 42.52/7.12 % (1462039)Peak memory usage: 12 MB
% 42.52/7.12 % (1462039)Instructions burned: 90 (million)
% 42.52/7.12 % (1462041)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2632654029:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2943 on theBenchmark for (2943ds/280Mi)
% 42.52/7.12 % (1462031)Instruction limit reached!
% 42.52/7.12 % (1462031)------------------------------
% 42.52/7.12 % (1462031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.52/7.12 % (1462031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.52/7.12 % (1462031)CaDiCaL version: 2.1.3
% 42.52/7.12 % (1462031)Termination reason: Instruction limit
% 42.52/7.12 % (1462031)Termination phase: Saturation
% 42.52/7.12 % (1462031)Time elapsed: 0.515 s
% 42.52/7.12 % (1462031)Peak memory usage: 12 MB
% 42.52/7.12 % (1462031)Instructions burned: 638 (million)
% 42.52/7.12 % (1462042)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=906579582:s2a=on:i=3166:bd=preordered:rtra=on_2943 on theBenchmark for (2943ds/3166Mi)
% 42.52/7.12 % (1462044)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 42.52/7.12 % (1462044)lrs+1010_128_to=kbo:plsq=on:plsqc=4:cnfonf=lazy_pi_sigma_gen:bsd=on:si=on:sp=occurrence:sos=on:plsql=on:random_seed=511553213:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2943 on theBenchmark for (2943ds/4201Mi)
% 42.52/7.12 % (1462044)Refutation not found, incomplete strategy
% 42.52/7.12 % (1462044)------------------------------
% 42.52/7.12 % (1462044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.52/7.12 % (1462044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.52/7.12 % (1462044)CaDiCaL version: 2.1.3
% 42.52/7.12 % (1462044)Termination reason: Refutation not found, incomplete strategy
% 42.52/7.12 % (1462044)Time elapsed: 0.002 s
% 42.52/7.12 % (1462044)Peak memory usage: 11 MB
% 42.52/7.12 % (1462044)Instructions burned: 3 (million)
% 42.52/7.12 % (1462044)------------------------------
% 42.52/7.12 % (1462044)------------------------------
% 42.52/7.12 % (1462047)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2567133971:i=2352:rtra=on:ixr=off_2942 on theBenchmark for (2942ds/2352Mi)
% 42.52/7.12 % (1462041)Instruction limit reached!
% 42.52/7.12 % (1462041)------------------------------
% 42.52/7.12 % (1462041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.52/7.12 % (1462041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.52/7.12 % (1462041)CaDiCaL version: 2.1.3
% 42.52/7.12 % (1462041)Termination reason: Instruction limit
% 42.52/7.12 % (1462041)Termination phase: Saturation
% 42.52/7.12 % (1462041)Time elapsed: 0.175 s
% 42.52/7.12 % (1462041)Peak memory usage: 12 MB
% 42.52/7.12 % (1462041)Instructions burned: 281 (million)
% 42.52/7.12 % (1462049)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 42.52/7.12 % (1462049)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=2978905614:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2941 on theBenchmark for (2941ds/452Mi)
% 46.35/7.32 % (1462049)Refutation not found, incomplete strategy
% 46.35/7.32 % (1462049)------------------------------
% 46.35/7.32 % (1462049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.35/7.32 % (1462049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.35/7.32 % (1462049)CaDiCaL version: 2.1.3
% 46.35/7.32 % (1462049)Termination reason: Refutation not found, incomplete strategy
% 46.35/7.32 % (1462049)Time elapsed: 0.001 s
% 46.35/7.32 % (1462049)Peak memory usage: 11 MB
% 46.35/7.32 % (1462049)Instructions burned: 2 (million)
% 46.35/7.32 % (1462049)------------------------------
% 46.35/7.32 % (1462049)------------------------------
% 46.35/7.32 % (1462051)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 46.35/7.32 % (1462051)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 46.35/7.32 % (1462051)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=1689472905:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2941 on theBenchmark for (2941ds/483Mi)
% 46.35/7.32 % (1462051)Refutation not found, incomplete strategy
% 46.35/7.32 % (1462051)------------------------------
% 46.35/7.32 % (1462051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.35/7.32 % (1462051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.35/7.32 % (1462051)CaDiCaL version: 2.1.3
% 46.35/7.32 % (1462051)Termination reason: Refutation not found, incomplete strategy
% 46.35/7.32 % (1462051)Time elapsed: 0.001 s
% 46.35/7.32 % (1462051)Peak memory usage: 12 MB
% 46.35/7.32 % (1462051)------------------------------
% 46.35/7.32 % (1462051)------------------------------
% 46.35/7.32 % (1462053)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3843969153:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2941 on theBenchmark for (2941ds/168Mi)
% 46.35/7.32 % (1462053)Instruction limit reached!
% 46.35/7.32 % (1462053)------------------------------
% 46.35/7.32 % (1462053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.35/7.32 % (1462053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.35/7.32 % (1462053)CaDiCaL version: 2.1.3
% 46.35/7.32 % (1462053)Termination reason: Instruction limit
% 46.35/7.32 % (1462053)Termination phase: Saturation
% 46.35/7.32 % (1462053)Time elapsed: 0.077 s
% 46.35/7.32 % (1462053)Peak memory usage: 12 MB
% 46.35/7.32 % (1462053)Instructions burned: 170 (million)
% 46.35/7.32 % (1462056)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=152907053:hsq=on:hsqr=16,1:s2a=on:i=17240:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2940 on theBenchmark for (2940ds/17240Mi)
% 46.35/7.32 % (1462028)Instruction limit reached!
% 46.35/7.32 % (1462028)------------------------------
% 46.35/7.32 % (1462028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.35/7.32 % (1462028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.35/7.32 % (1462028)CaDiCaL version: 2.1.3
% 46.35/7.32 % (1462028)Termination reason: Instruction limit
% 46.35/7.32 % (1462028)Termination phase: Saturation
% 46.35/7.32 % (1462028)Time elapsed: 1.032 s
% 46.35/7.32 % (1462028)Peak memory usage: 13 MB
% 46.35/7.32 % (1462028)Instructions burned: 2297 (million)
% 46.35/7.32 % (1462058)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=190205469:i=2022:fsr=off:rtra=on:ixr=off_2938 on theBenchmark for (2938ds/2022Mi)
% 46.35/7.32 % (1462035)Instruction limit reached!
% 46.35/7.32 % (1462035)------------------------------
% 46.35/7.32 % (1462035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.35/7.32 % (1462035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.35/7.32 % (1462035)CaDiCaL version: 2.1.3
% 46.35/7.32 % (1462035)Termination reason: Instruction limit
% 46.35/7.32 % (1462035)Termination phase: Saturation
% 46.35/7.32 % (1462035)Time elapsed: 1.020 s
% 46.35/7.32 % (1462035)Peak memory usage: 20 MB
% 46.71/7.44 % (1462035)Instructions burned: 1803 (million)
% 46.71/7.44 % (1462060)lrs+1010_3:1_sil=128000:tgt=full:plsq=on:drc=ordering:cnfonf=lazy_not_be_gen:si=on:etr=on:sp=reverse_arity:plsqr=32,1:urr=on:uwa=off:foolp=on:nwc=0.5:random_seed=3045537318:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2937 on theBenchmark for (2937ds/2274Mi)
% 46.71/7.44 % (1462001)Instruction limit reached!
% 46.71/7.44 % (1462001)------------------------------
% 46.71/7.44 % (1462001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.44 % (1462001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.44 % (1462001)CaDiCaL version: 2.1.3
% 46.71/7.44 % (1462001)Termination reason: Instruction limit
% 46.71/7.44 % (1462001)Termination phase: Saturation
% 46.71/7.44 % (1462001)Time elapsed: 1.830 s
% 46.71/7.44 % (1462001)Peak memory usage: 25 MB
% 46.71/7.44 % (1462001)Instructions burned: 6583 (million)
% 46.71/7.44 % (1462062)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=896902288:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2935 on theBenchmark for (2935ds/555Mi)
% 46.71/7.44 % (1462062)Instruction limit reached!
% 46.71/7.44 % (1462062)------------------------------
% 46.71/7.44 % (1462062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.44 % (1462062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.44 % (1462062)CaDiCaL version: 2.1.3
% 46.71/7.44 % (1462062)Termination reason: Instruction limit
% 46.71/7.44 % (1462062)Termination phase: Saturation
% 46.71/7.44 % (1462062)Time elapsed: 0.097 s
% 46.71/7.44 % (1462062)Peak memory usage: 13 MB
% 46.71/7.44 % (1462062)Instructions burned: 561 (million)
% 46.71/7.44 % (1462064)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=3739160161:avsq=on:i=2220:rtra=on_2934 on theBenchmark for (2934ds/2220Mi)
% 46.71/7.44 % (1462047)Instruction limit reached!
% 46.71/7.44 % (1462047)------------------------------
% 46.71/7.44 % (1462047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.44 % (1462047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.44 % (1462047)CaDiCaL version: 2.1.3
% 46.71/7.44 % (1462047)Termination reason: Instruction limit
% 46.71/7.44 % (1462047)Termination phase: Saturation
% 46.71/7.44 % (1462047)Time elapsed: 1.054 s
% 46.71/7.44 % (1462047)Peak memory usage: 13 MB
% 46.71/7.44 % (1462047)Instructions burned: 2352 (million)
% 46.71/7.44 % (1462066)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=155427353:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2931 on theBenchmark for (2931ds/715Mi)
% 46.71/7.44 % (1462066)Refutation not found, incomplete strategy
% 46.71/7.44 % (1462066)------------------------------
% 46.71/7.44 % (1462066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.44 % (1462066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.44 % (1462066)CaDiCaL version: 2.1.3
% 46.71/7.44 % (1462066)Termination reason: Refutation not found, incomplete strategy
% 46.71/7.44 % (1462066)Time elapsed: 0.001 s
% 46.71/7.44 % (1462066)Peak memory usage: 11 MB
% 46.71/7.44 % (1462066)Instructions burned: 2 (million)
% 46.71/7.44 % (1462066)------------------------------
% 46.71/7.44 % (1462066)------------------------------
% 46.71/7.44 % (1462068)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 46.71/7.44 % (1462068)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=391816700:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2931 on theBenchmark for (2931ds/1979Mi)
% 46.71/7.44 % (1462068)Refutation not found, incomplete strategy
% 46.71/7.44 % (1462068)------------------------------
% 46.71/7.44 % (1462068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.71/7.44 % (1462068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.71/7.44 % (1462068)CaDiCaL version: 2.1.3
% 46.71/7.44 % (1462068)Termination reason: Refutation not found, incomplete strategy
% 46.71/7.44 % (1462068)Time elapsed: 0.001 s
% 46.71/7.44 % (1462068)Peak memory usage: 11 MB
% 46.71/7.44 % (1462068)Instructions burned: 1 (million)
% 46.71/7.44 % (1462068)------------------------------
% 46.71/7.44 % (1462068)------------------------------
% 46.71/7.44 % (1462070)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=4023885315:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2931 on theBenchmark for (2931ds/28911Mi)
% 48.94/7.88 % (1462070)Refutation not found, incomplete strategy
% 48.94/7.88 % (1462070)------------------------------
% 48.94/7.88 % (1462070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.94/7.88 % (1462070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.94/7.88 % (1462070)CaDiCaL version: 2.1.3
% 48.94/7.88 % (1462070)Termination reason: Refutation not found, incomplete strategy
% 48.94/7.88 % (1462070)Time elapsed: 0.001 s
% 48.94/7.88 % (1462070)Peak memory usage: 11 MB
% 48.94/7.88 % (1462070)------------------------------
% 48.94/7.88 % (1462070)------------------------------
% 48.94/7.88 % (1462072)lrs+1002_1_to=lpo:sil=128000:cnfonf=lazy_not_be_gen:si=on:sp=reverse_arity:sos=on:erd=off:lma=off:spb=units:urr=on:cbe=off:uwa=one_side_constant:random_seed=884982264:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2931 on theBenchmark for (2931ds/414Mi)
% 48.94/7.88 % (1462072)Refutation not found, incomplete strategy
% 48.94/7.88 % (1462072)------------------------------
% 48.94/7.88 % (1462072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.94/7.88 % (1462072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.94/7.88 % (1462072)CaDiCaL version: 2.1.3
% 48.94/7.88 % (1462072)Termination reason: Refutation not found, incomplete strategy
% 48.94/7.88 % (1462072)Time elapsed: 0.002 s
% 48.94/7.88 % (1462072)Peak memory usage: 11 MB
% 48.94/7.88 % (1462072)Instructions burned: 3 (million)
% 48.94/7.88 % (1462072)------------------------------
% 48.94/7.88 % (1462072)------------------------------
% 48.94/7.88 % (1462074)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2015778960:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2931 on theBenchmark for (2931ds/429Mi)
% 48.94/7.88 % (1462064)Instruction limit reached!
% 48.94/7.88 % (1462064)------------------------------
% 48.94/7.88 % (1462064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.94/7.88 % (1462064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.94/7.88 % (1462064)CaDiCaL version: 2.1.3
% 48.94/7.88 % (1462064)Termination reason: Instruction limit
% 48.94/7.88 % (1462064)Termination phase: Saturation
% 48.94/7.88 % (1462064)Time elapsed: 0.360 s
% 48.94/7.88 % (1462064)Peak memory usage: 13 MB
% 48.94/7.88 % (1462064)Instructions burned: 2221 (million)
% 48.94/7.88 % (1462076)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 48.94/7.88 % (1462076)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2228260527:lrd=on:i=841:nm=0:rtra=on_2930 on theBenchmark for (2930ds/841Mi)
% 48.94/7.88 % (1462058)Instruction limit reached!
% 48.94/7.88 % (1462058)------------------------------
% 48.94/7.88 % (1462058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.94/7.88 % (1462058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.94/7.88 % (1462058)CaDiCaL version: 2.1.3
% 48.94/7.88 % (1462058)Termination reason: Instruction limit
% 48.94/7.88 % (1462058)Termination phase: Saturation
% 48.94/7.88 % (1462058)Time elapsed: 0.854 s
% 48.94/7.88 % (1462058)Peak memory usage: 13 MB
% 48.94/7.88 % (1462058)Instructions burned: 2024 (million)
% 48.94/7.88 % (1462078)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4071987411:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2929 on theBenchmark for (2929ds/445Mi)
% 48.94/7.88 % (1461875)Instruction limit reached!
% 48.94/7.88 % (1461875)------------------------------
% 48.94/7.88 % (1461875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.94/7.88 % (1461875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.94/7.88 % (1461875)CaDiCaL version: 2.1.3
% 48.94/7.88 % (1461875)Termination reason: Instruction limit
% 48.94/7.88 % (1461875)Termination phase: Saturation
% 48.94/7.88 % (1461875)Time elapsed: 4.707 s
% 48.94/7.88 % (1461875)Peak memory usage: 21 MB
% 48.94/7.88 % (1461875)Instructions burned: 6359 (million)
% 48.94/7.88 % (1462080)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=1376467094:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2929 on theBenchmark for (2929ds/1324Mi)
% 48.94/7.88 % (1462080)Refutation not found, incomplete strategy
% 48.94/7.88 % (1462080)------------------------------
% 48.94/7.88 % (1462080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.36/8.33 % (1462080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.36/8.33 % (1462080)CaDiCaL version: 2.1.3
% 53.36/8.33 % (1462080)Termination reason: Refutation not found, incomplete strategy
% 53.36/8.33 % (1462080)Time elapsed: 0.001 s
% 53.36/8.33 % (1462080)Peak memory usage: 11 MB
% 53.36/8.33 % (1462080)Instructions burned: 1 (million)
% 53.36/8.33 % (1462080)------------------------------
% 53.36/8.33 % (1462080)------------------------------
% 53.36/8.33 % (1462082)dis+21_1_sil=128000:cnfonf=off:e2e=on:si=on:sos=on:spb=goal_then_units:acc=on:uwa=one_side_interpreted:random_seed=3361610122:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2929 on theBenchmark for (2929ds/5401Mi)
% 53.36/8.33 % (1462082)Refutation not found, incomplete strategy
% 53.36/8.33 % (1462082)------------------------------
% 53.36/8.33 % (1462082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.36/8.33 % (1462082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.36/8.33 % (1462082)CaDiCaL version: 2.1.3
% 53.36/8.33 % (1462082)Termination reason: Refutation not found, incomplete strategy
% 53.36/8.33 % (1462082)Time elapsed: 0.001 s
% 53.36/8.33 % (1462082)Peak memory usage: 11 MB
% 53.36/8.33 % (1462082)------------------------------
% 53.36/8.33 % (1462082)------------------------------
% 53.36/8.33 % (1462084)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3073275281:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2929 on theBenchmark for (2929ds/4070Mi)
% 53.36/8.33 % (1462076)Instruction limit reached!
% 53.36/8.33 % (1462076)------------------------------
% 53.36/8.33 % (1462076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.36/8.33 % (1462076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.36/8.33 % (1462076)CaDiCaL version: 2.1.3
% 53.36/8.33 % (1462076)Termination reason: Instruction limit
% 53.36/8.33 % (1462076)Termination phase: Saturation
% 53.36/8.33 % (1462076)Time elapsed: 0.194 s
% 53.36/8.33 % (1462076)Peak memory usage: 13 MB
% 53.36/8.33 % (1462076)Instructions burned: 841 (million)
% 53.36/8.33 % (1462086)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4208984221:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2928 on theBenchmark for (2928ds/984Mi)
% 53.36/8.33 % (1462086)Refutation not found, incomplete strategy
% 53.36/8.33 % (1462086)------------------------------
% 53.36/8.33 % (1462086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.36/8.33 % (1462086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.36/8.33 % (1462086)CaDiCaL version: 2.1.3
% 53.36/8.33 % (1462086)Termination reason: Refutation not found, incomplete strategy
% 53.36/8.33 % (1462086)Time elapsed: 0.0000 s
% 53.36/8.33 % (1462086)Peak memory usage: 11 MB
% 53.36/8.33 % (1462086)Instructions burned: 1 (million)
% 53.36/8.33 % (1462086)------------------------------
% 53.36/8.33 % (1462086)------------------------------
% 53.36/8.33 % (1462088)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2808526848:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2928 on theBenchmark for (2928ds/112Mi)
% 53.36/8.33 % (1462088)Refutation not found, incomplete strategy
% 53.36/8.33 % (1462088)------------------------------
% 53.36/8.33 % (1462088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.36/8.33 % (1462088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.36/8.33 % (1462088)CaDiCaL version: 2.1.3
% 53.36/8.33 % (1462088)Termination reason: Refutation not found, incomplete strategy
% 53.36/8.33 % (1462088)Time elapsed: 0.0000 s
% 53.36/8.33 % (1462088)Peak memory usage: 11 MB
% 53.36/8.33 % (1462088)Instructions burned: 1 (million)
% 53.36/8.33 % (1462088)------------------------------
% 53.36/8.33 % (1462088)------------------------------
% 53.36/8.33 % (1462074)Instruction limit reached!
% 53.36/8.33 % (1462074)------------------------------
% 53.36/8.33 % (1462074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.36/8.33 % (1462074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.36/8.33 % (1462074)CaDiCaL version: 2.1.3
% 53.36/8.33 % (1462074)Termination reason: Instruction limit
% 53.36/8.33 % (1462074)Termination phase: Saturation
% 53.36/8.33 % (1462074)Time elapsed: 0.269 s
% 53.36/8.33 % (1462074)Peak memory usage: 12 MB
% 53.36/8.33 % (1462074)Instructions burned: 430 (million)
% 53.36/8.33 % (1462090)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1732662220:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2928 on theBenchmark for (2928ds/1144Mi)
% 62.04/9.59 % (1462090)Refutation not found, incomplete strategy
% 62.04/9.59 % (1462090)------------------------------
% 62.04/9.59 % (1462090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.04/9.59 % (1462090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.04/9.59 % (1462090)CaDiCaL version: 2.1.3
% 62.04/9.59 % (1462090)Termination reason: Refutation not found, incomplete strategy
% 62.04/9.59 % (1462090)Time elapsed: 0.004 s
% 62.04/9.59 % (1462090)Peak memory usage: 11 MB
% 62.04/9.59 % (1462090)------------------------------
% 62.04/9.59 % (1462090)------------------------------
% 62.04/9.59 % (1462091)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=795796457:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2928 on theBenchmark for (2928ds/1352Mi)
% 62.04/9.59 % (1462093)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=383375811:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2928 on theBenchmark for (2928ds/693Mi)
% 62.04/9.59 % (1462060)Instruction limit reached!
% 62.04/9.59 % (1462060)------------------------------
% 62.04/9.59 % (1462060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.04/9.59 % (1462060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.04/9.59 % (1462060)CaDiCaL version: 2.1.3
% 62.04/9.59 % (1462060)Termination reason: Instruction limit
% 62.04/9.59 % (1462060)Termination phase: Saturation
% 62.04/9.59 % (1462060)Time elapsed: 1.017 s
% 62.04/9.59 % (1462060)Peak memory usage: 17 MB
% 62.04/9.59 % (1462060)Instructions burned: 2276 (million)
% 62.04/9.59 % (1462096)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=1228972573:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2926 on theBenchmark for (2926ds/908Mi)
% 62.04/9.59 % (1462078)Instruction limit reached!
% 62.04/9.59 % (1462078)------------------------------
% 62.04/9.59 % (1462078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.04/9.59 % (1462078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.04/9.59 % (1462078)CaDiCaL version: 2.1.3
% 62.04/9.59 % (1462078)Termination reason: Instruction limit
% 62.04/9.59 % (1462078)Termination phase: Saturation
% 62.04/9.59 % (1462078)Time elapsed: 0.383 s
% 62.04/9.59 % (1462078)Peak memory usage: 14 MB
% 62.04/9.59 % (1462078)Instructions burned: 446 (million)
% 62.04/9.59 % (1462098)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=3168453082:i=6901:add=on:slsql=off:rtra=on:ntd=on_2925 on theBenchmark for (2925ds/6901Mi)
% 62.04/9.59 % (1462091)Instruction limit reached!
% 62.04/9.59 % (1462091)------------------------------
% 62.04/9.59 % (1462091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.04/9.59 % (1462091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.04/9.59 % (1462091)CaDiCaL version: 2.1.3
% 62.04/9.59 % (1462091)Termination reason: Instruction limit
% 62.04/9.59 % (1462091)Termination phase: Saturation
% 62.04/9.59 % (1462091)Time elapsed: 0.270 s
% 62.04/9.59 % (1462091)Peak memory usage: 12 MB
% 62.04/9.59 % (1462091)Instructions burned: 1355 (million)
% 62.04/9.60 % (1462100)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3583162779:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2925 on theBenchmark for (2925ds/3621Mi)
% 62.04/9.60 % (1462093)Instruction limit reached!
% 62.04/9.60 % (1462093)------------------------------
% 62.04/9.60 % (1462093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.04/9.60 % (1462093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.04/9.60 % (1462093)CaDiCaL version: 2.1.3
% 62.04/9.60 % (1462093)Termination reason: Instruction limit
% 62.04/9.60 % (1462093)Termination phase: Saturation
% 62.04/9.60 % (1462093)Time elapsed: 0.387 s
% 62.04/9.60 % (1462093)Peak memory usage: 12 MB
% 62.04/9.60 % (1462093)Instructions burned: 696 (million)
% 62.04/9.60 % (1462102)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=1189668827:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2923 on theBenchmark for (2923ds/1160Mi)
% 62.04/9.60 % (1462102)Refutation not found, incomplete strategy
% 62.04/9.60 % (1462102)------------------------------
% 69.83/10.62 % (1462102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.83/10.62 % (1462102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.83/10.62 % (1462102)CaDiCaL version: 2.1.3
% 69.83/10.62 % (1462102)Termination reason: Refutation not found, incomplete strategy
% 69.83/10.62 % (1462102)Time elapsed: 0.002 s
% 69.83/10.62 % (1462102)Peak memory usage: 11 MB
% 69.83/10.62 % (1462102)Instructions burned: 3 (million)
% 69.83/10.62 % (1462102)------------------------------
% 69.83/10.62 % (1462102)------------------------------
% 69.83/10.62 % (1462104)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=1058476850:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2923 on theBenchmark for (2923ds/570Mi)
% 69.83/10.62 % (1462096)Instruction limit reached!
% 69.83/10.62 % (1462096)------------------------------
% 69.83/10.62 % (1462096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.83/10.62 % (1462096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.83/10.62 % (1462096)CaDiCaL version: 2.1.3
% 69.83/10.62 % (1462096)Termination reason: Instruction limit
% 69.83/10.62 % (1462096)Termination phase: Saturation
% 69.83/10.62 % (1462096)Time elapsed: 0.436 s
% 69.83/10.62 % (1462096)Peak memory usage: 15 MB
% 69.83/10.62 % (1462096)Instructions burned: 910 (million)
% 69.83/10.62 % (1462106)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=4252599268:i=324:bd=all:ins=4:rtra=on_2922 on theBenchmark for (2922ds/324Mi)
% 69.83/10.62 % (1462104)Instruction limit reached!
% 69.83/10.62 % (1462104)------------------------------
% 69.83/10.62 % (1462104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.83/10.62 % (1462104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.83/10.62 % (1462104)CaDiCaL version: 2.1.3
% 69.83/10.62 % (1462104)Termination reason: Instruction limit
% 69.83/10.62 % (1462104)Termination phase: Saturation
% 69.83/10.62 % (1462104)Time elapsed: 0.229 s
% 69.83/10.62 % (1462104)Peak memory usage: 13 MB
% 69.83/10.62 % (1462104)Instructions burned: 571 (million)
% 69.83/10.62 % (1462108)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:e2e=on:si=on:lma=off:bsr=on:uwa=interpreted_only:nwc=1:sac=on:random_seed=1774901803:s2a=on:i=5712:rtra=on_2921 on theBenchmark for (2921ds/5712Mi)
% 69.83/10.62 % (1462106)Instruction limit reached!
% 69.83/10.62 % (1462106)------------------------------
% 69.83/10.62 % (1462106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.83/10.62 % (1462106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.83/10.62 % (1462106)CaDiCaL version: 2.1.3
% 69.83/10.62 % (1462106)Termination reason: Instruction limit
% 69.83/10.62 % (1462106)Termination phase: Saturation
% 69.83/10.62 % (1462106)Time elapsed: 0.140 s
% 69.83/10.62 % (1462106)Peak memory usage: 14 MB
% 69.83/10.62 % (1462106)Instructions burned: 325 (million)
% 69.83/10.62 % (1462110)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 69.83/10.62 % (1462110)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 69.83/10.62 % (1462110)ott+1010_3:16_to=lpo:sil=128000:cnfonf=lazy_simp:si=on:lma=off:plsqr=32,1:plsql=on:uwa=interpreted_only:random_seed=774731752:i=901:rtra=on:fsd=on_2920 on theBenchmark for (2920ds/901Mi)
% 69.83/10.62 % (1462042)Instruction limit reached!
% 69.83/10.62 % (1462042)------------------------------
% 69.83/10.62 % (1462042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.83/10.62 % (1462042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.83/10.62 % (1462042)CaDiCaL version: 2.1.3
% 69.83/10.62 % (1462042)Termination reason: Instruction limit
% 69.83/10.62 % (1462042)Termination phase: Saturation
% 69.83/10.62 % (1462042)Time elapsed: 2.388 s
% 69.83/10.62 % (1462042)Peak memory usage: 14 MB
% 69.83/10.62 % (1462042)Instructions burned: 3166 (million)
% 69.83/10.62 % (1462112)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2495739463:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2919 on theBenchmark for (2919ds/2961Mi)
% 69.83/10.62 % (1462112)Refutation not found, incomplete strategy
% 69.83/10.62 % (1462112)------------------------------
% 69.83/10.62 % (1462112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.83/10.62 % (1462112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.83/10.62 % (1462112)CaDiCaL version: 2.1.3
% 69.83/10.62 % (1462112)Termination reason: Refutation not found, incomplete strategy
% 69.83/10.62 % (1462112)Time elapsed: 0.001 s
% 69.83/10.62 % (1462112)Peak memory usage: 11 MB
% 69.83/10.62 % (1462112)------------------------------
% 69.83/10.62 % (1462112)------------------------------
% 69.83/10.62 % (1462114)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=2307275778:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2919 on theBenchmark for (2919ds/3526Mi)
% 69.83/10.62 % (1462100)Instruction limit reached!
% 69.83/10.62 % (1462100)------------------------------
% 69.83/10.62 % (1462100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.83/10.62 % (1462100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.83/10.62 % (1462100)CaDiCaL version: 2.1.3
% 69.83/10.62 % (1462100)Termination reason: Instruction limit
% 69.83/10.62 % (1462100)Termination phase: Saturation
% 69.83/10.62 % (1462100)Time elapsed: 0.783 s
% 69.83/10.62 % (1462100)Peak memory usage: 16 MB
% 69.83/10.62 % (1462100)Instructions burned: 3622 (million)
% 69.83/10.62 % (1462116)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=2132217611:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2917 on theBenchmark for (2917ds/3368Mi)
% 69.83/10.62 % (1462116)Refutation not found, incomplete strategy
% 69.83/10.62 % (1462116)------------------------------
% 69.83/10.62 % (1462116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.83/10.62 % (1462116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.83/10.62 % (1462116)CaDiCaL version: 2.1.3
% 69.83/10.62 % (1462116)Termination reason: Refutation not found, incomplete strategy
% 69.83/10.62 % (1462116)Time elapsed: 0.0000 s
% 69.83/10.62 % (1462116)Peak memory usage: 11 MB
% 69.83/10.62 % (1462116)------------------------------
% 69.83/10.62 % (1462116)------------------------------
% 69.83/10.62 % (1462118)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=3086123216:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2917 on theBenchmark for (2917ds/20626Mi)
% 69.83/10.62 % (1462110)Instruction limit reached!
% 69.83/10.62 % (1462110)------------------------------
% 69.83/10.62 % (1462110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.83/10.62 % (1462110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.83/10.62 % (1462110)CaDiCaL version: 2.1.3
% 69.83/10.62 % (1462110)Termination reason: Instruction limit
% 69.83/10.62 % (1462110)Termination phase: Saturation
% 69.83/10.62 % (1462110)Time elapsed: 0.559 s
% 69.83/10.62 % (1462110)Peak memory usage: 12 MB
% 69.83/10.62 % (1462110)Instructions burned: 901 (million)
% 69.83/10.62 % (1462120)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1185947380:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2914 on theBenchmark for (2914ds/27154Mi)
% 69.83/10.62 % (1462084)Instruction limit reached!
% 69.83/10.62 % (1462084)------------------------------
% 69.83/10.62 % (1462084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.83/10.62 % (1462084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.83/10.62 % (1462084)CaDiCaL version: 2.1.3
% 69.83/10.62 % (1462084)Termination reason: Instruction limit
% 69.83/10.62 % (1462084)Termination phase: Saturation
% 69.83/10.62 % (1462084)Time elapsed: 2.205 s
% 69.83/10.62 % (1462084)Peak memory usage: 17 MB
% 69.83/10.62 % (1462084)Instructions burned: 4071 (million)
% 69.83/10.62 % (1462123)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1172287752:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2906 on theBenchmark for (2906ds/515Mi)
% 69.83/10.62 % (1462123)Refutation not found, incomplete strategy
% 69.83/10.62 % (1462123)------------------------------
% 69.83/10.62 % (1462123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.83/10.62 % (1462123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.83/10.62 % (1462123)CaDiCaL version: 2.1.3
% 69.83/10.62 % (1462123)Termination reason: Refutation not found, incomplete strategy
% 69.83/10.62 % (1462123)Time elapsed: 0.001 s
% 69.83/10.62 % (1462123)Peak memory usage: 12 MB
% 69.83/10.62 % (1462123)------------------------------
% 69.83/10.62 % (1462123)------------------------------
% 69.83/10.62 % (1462125)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=2987375990:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2906 on theBenchmark for (2906ds/2653Mi)
% 69.83/10.62 % (1462114)Instruction limit reached!
% 69.83/10.62 % (1462114)------------------------------
% 69.83/10.62 % (1462114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.83/10.62 % (1462114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.83/10.62 % (1462114)CaDiCaL version: 2.1.3
% 69.83/10.62 % (1462114)Termination reason: Instruction limit
% 69.83/10.62 % (1462114)Termination phase: Saturation
% 69.83/10.62 % (1462114)Time elapsed: 1.709 s
% 69.83/10.62 % (1462114)Peak memory usage: 14 MB
% 69.83/10.62 % (1462114)Instructions burned: 3526 (million)
% 69.83/10.62 % (1462127)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 69.83/10.62 % (1462127)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=1580893935:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2901 on theBenchmark for (2901ds/1297Mi)
% 69.83/10.62 % (1462118) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1461550-1462118"...
% 69.83/10.62 % (1462118)...printing done.
% 69.83/10.62 % (1462118)Refutation found. Thanks to Tanya!
% 69.83/10.62 % SZS status Unsatisfiable for theBenchmark
% 69.83/10.62 % SZS output start Proof for theBenchmark
% See solution above
% 70.08/10.72 % (1462118)------------------------------
% 70.08/10.72 % (1462118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.08/10.72 % (1462118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.08/10.72 % (1462118)CaDiCaL version: 2.1.3
% 70.08/10.72 % (1462118)Termination reason: Refutation
% 70.08/10.72 % (1462118)Time elapsed: 2.076 s
% 70.08/10.72 % (1462118)Peak memory usage: 25 MB
% 70.08/10.72 % (1462118)Instructions burned: 7594 (million)
% 70.08/10.72 % (1461550)Success in time 10.455 s
% 70.08/10.72 % Vampire exiting
%------------------------------------------------------------------------------