%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA161^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 08:01:23 AM UTC 2026
% Result : Unsatisfiable 116.39s 16.97s
% Output : Refutation 117.40s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X1: $i,X0: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X0: $i,X1: $i,X2: $i,X4: $i,X3: $i] :
( ~ ( r @ X3 @ X4 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X4 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X3: $i,X4: $i,X1: $i,X0: $i,X2: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i,X1: $i] :
( ( b @ X1 @ X0 )
| ( X0 = X1 )
| ( r @ X1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f9,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f11,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $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,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X2 @ X4 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X3 @ X1 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X4 @ X0 )
| ~ ( b @ X3 @ X2 ) ),
inference(rectify,[],[f7]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X4 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r @ X4 @ X3 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X2 @ X4 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 ) ),
inference(rectify,[],[f6]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( r @ X4 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ X4 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f11]) ).
thf(f19,plain,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f20,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X0: $i,X3: $i,X4: $i,X2: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true ) ),
inference(flattening,[],[f15]) ).
thf(f22,plain,
! [X4: $i,X0: $i,X3: $i,X1: $i,X2: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X4 @ X3 )
!= $true )
| ( ( r @ X2 @ X4 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( r @ X3 @ X4 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X4 @ X0 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X4 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(rectify,[],[f22]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true ) ),
inference(rectify,[],[f21]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f19]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( r @ X4 @ X0 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X4 )
!= $true )
| ( ( r @ X3 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f27,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( ( r @ X1 @ X0 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f29,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f30,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f31,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f32,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f35,plain,
! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f28,f31]) ).
thf(f36,plain,
! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f28,f31]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f28,f29]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) ),
inference(constrained_superposition,[],[f27,f35]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f47,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ z @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f27,f36]) ).
thf(f48,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f47]) ).
thf(f54,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f31]) ).
thf(f55,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f31]) ).
thf(f56,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f37,f29]) ).
thf(f62,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X3 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f27,f54]) ).
thf(f63,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f62]) ).
thf(f67,definition,
( spl0_1
<=> ( ( r @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f68,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f79,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f63,f35]) ).
thf(f80,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f79]) ).
thf(f83,definition,
( spl0_3
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f84,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_3 ),
inference(avatar_component_clause,[],[f83]) ).
thf(f86,definition,
( spl0_4
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ z @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f87,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X2 )
!= $true ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f86]) ).
thf(f89,definition,
( spl0_5
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f90,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f89]) ).
thf(f91,plain,
( ~ spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f80,f89,f86,f83]) ).
thf(f92,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_3 ),
inference(constrained_superposition,[],[f84,f35]) ).
thf(f95,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_3 ),
inference(trivial_inequality_removal,[],[f92]) ).
thf(f97,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X2 @ z )
!= $true ) )
| spl0_3 ),
inference(constrained_superposition,[],[f26,f95]) ).
thf(f98,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| spl0_3 ),
inference(trivial_inequality_removal,[],[f97]) ).
thf(f101,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f43,f55]) ).
thf(f103,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f48,f55]) ).
thf(f104,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f27,f55]) ).
thf(f105,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f104]) ).
thf(f107,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f101]) ).
thf(f108,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f103]) ).
thf(f110,definition,
( spl0_6
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f111,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f110]) ).
thf(f113,definition,
( spl0_7
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f114,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f113]) ).
thf(f116,definition,
( spl0_8
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f117,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_8 ),
inference(avatar_component_clause,[],[f116]) ).
thf(f118,plain,
( spl0_6
| spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f108,f116,f113,f110]) ).
thf(f119,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_8 ),
inference(constrained_superposition,[],[f117,f36]) ).
thf(f122,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f119]) ).
thf(f124,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f122,f116,f67]) ).
thf(f131,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| spl0_3
| ~ spl0_6 ),
inference(constrained_superposition,[],[f98,f111]) ).
thf(f134,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f131]) ).
thf(f135,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| spl0_3
| ~ spl0_6 ),
inference(constrained_superposition,[],[f134,f111]) ).
thf(f138,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| spl0_3
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f135]) ).
thf(f139,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f138]) ).
thf(f140,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| spl0_1 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f142,definition,
( spl0_9
<=> ! [X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f143,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f142]) ).
thf(f145,definition,
( spl0_10
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f146,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f145]) ).
thf(f147,plain,
( ~ spl0_1
| spl0_9
| spl0_10
| spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f139,f110,f83,f145,f142,f67]) ).
thf(f150,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f56,f31]) ).
thf(f151,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f56,f31]) ).
thf(f152,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f56,f29]) ).
thf(f162,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f63,f150]) ).
thf(f164,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X3 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f27,f150]) ).
thf(f166,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f164]) ).
thf(f169,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f162]) ).
thf(f171,definition,
( spl0_11
<=> ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f172,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f171]) ).
thf(f178,definition,
( spl0_13
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f179,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f178]) ).
thf(f181,definition,
( spl0_14
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f182,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f181]) ).
thf(f183,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f169,f181,f178]) ).
thf(f205,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f166,f35]) ).
thf(f206,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f166,f55]) ).
thf(f207,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f205]) ).
thf(f208,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f206]) ).
thf(f211,definition,
( spl0_15
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f212,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f211]) ).
thf(f214,definition,
( spl0_16
<=> ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f215,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X2 )
!= $true ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f214]) ).
thf(f217,definition,
( spl0_17
<=> ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f218,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_17 ),
inference(avatar_component_clause,[],[f217]) ).
thf(f219,plain,
( spl0_15
| spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f207,f217,f214,f211]) ).
thf(f221,definition,
( spl0_18
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f222,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f221]) ).
thf(f224,definition,
( spl0_19
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f225,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_19 ),
inference(avatar_component_clause,[],[f224]) ).
thf(f227,definition,
( spl0_20
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f228,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f227]) ).
thf(f229,plain,
( spl0_18
| ~ spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f208,f227,f224,f221]) ).
thf(f245,definition,
( spl0_21
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f246,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f245]) ).
thf(f248,definition,
( spl0_22
<=> ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f249,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f248]) ).
thf(f252,definition,
( spl0_23
<=> ! [X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f253,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f252]) ).
thf(f260,definition,
( spl0_24
<=> ( ( s @ ( s @ z ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f261,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f260]) ).
thf(f263,definition,
( spl0_25
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f264,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f263]) ).
thf(f267,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f222,f54]) ).
thf(f270,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f267]) ).
thf(f271,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f270]) ).
thf(f274,definition,
( spl0_26
<=> ! [X0: $i] :
( ( b @ ( s @ z ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f275,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ X0 )
!= $true )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f274]) ).
thf(f276,plain,
( spl0_13
| spl0_26
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f271,f221,f274,f178]) ).
thf(f278,definition,
( spl0_27
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f279,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f278]) ).
thf(f321,definition,
( spl0_28
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f322,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f321]) ).
thf(f324,definition,
( spl0_29
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f325,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f324]) ).
thf(f351,definition,
( spl0_30
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f352,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f351]) ).
thf(f357,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_17 ),
inference(constrained_superposition,[],[f218,f35]) ).
thf(f360,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_17 ),
inference(trivial_inequality_removal,[],[f357]) ).
thf(f362,plain,
( spl0_30
| spl0_17 ),
inference(avatar_split_clause,[],[f360,f217,f351]) ).
thf(f389,definition,
( spl0_32
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f390,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f389]) ).
thf(f392,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_3
| ~ spl0_25 ),
inference(constrained_superposition,[],[f98,f264]) ).
thf(f393,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f26,f264]) ).
thf(f394,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| spl0_3
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f392]) ).
thf(f395,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f393]) ).
thf(f427,definition,
( spl0_33
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f428,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f427]) ).
thf(f439,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( ( r @ X3 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f26,f111]) ).
thf(f441,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X3 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f439]) ).
thf(f458,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_15
| ~ spl0_29 ),
inference(constrained_superposition,[],[f325,f212]) ).
thf(f459,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| spl0_3
| ~ spl0_15
| ~ spl0_25 ),
inference(constrained_superposition,[],[f394,f212]) ).
thf(f464,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| spl0_3
| ~ spl0_15
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f459]) ).
thf(f466,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_15
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f458]) ).
thf(f468,definition,
( spl0_34
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f469,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f468]) ).
thf(f473,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| spl0_3
| ~ spl0_20
| ~ spl0_25 ),
inference(constrained_superposition,[],[f394,f228]) ).
thf(f479,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| spl0_3
| ~ spl0_20
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f473]) ).
thf(f482,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| spl0_3
| ~ spl0_6
| ~ spl0_20
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f479,f111]) ).
thf(f484,definition,
( spl0_35
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f485,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f484]) ).
thf(f487,plain,
( spl0_35
| spl0_3
| ~ spl0_6
| ~ spl0_20
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f482,f263,f227,f110,f83,f484]) ).
thf(f490,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_20
| ~ spl0_35 ),
inference(constrained_superposition,[],[f485,f228]) ).
thf(f493,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_20
| ~ spl0_35 ),
inference(duplicate_literal_removal,[],[f490]) ).
thf(f494,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_20
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f493]) ).
thf(f497,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_11 ),
inference(avatar_component_clause,[],[f171]) ).
thf(f499,definition,
( spl0_36
<=> ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f500,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f499]) ).
thf(f501,plain,
( ~ spl0_11
| spl0_36
| ~ spl0_20
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f494,f484,f227,f499,f171]) ).
thf(f506,plain,
( spl0_34
| spl0_3
| ~ spl0_15
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f464,f263,f211,f83,f468]) ).
thf(f510,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_15
| ~ spl0_34 ),
inference(constrained_superposition,[],[f469,f212]) ).
thf(f511,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_34 ),
inference(duplicate_literal_removal,[],[f510]) ).
thf(f512,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_15
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f511]) ).
thf(f533,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f441,f151]) ).
thf(f537,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) ),
inference(constrained_superposition,[],[f26,f151]) ).
thf(f539,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f537]) ).
thf(f540,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X2 @ X1 )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f533]) ).
thf(f544,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f540,f497]) ).
thf(f545,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| spl0_11 ),
inference(constrained_superposition,[],[f544,f151]) ).
thf(f550,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_6
| spl0_11 ),
inference(duplicate_literal_removal,[],[f545]) ).
thf(f551,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| spl0_11 ),
inference(trivial_inequality_removal,[],[f550]) ).
thf(f555,definition,
( spl0_38
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f556,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f555]) ).
thf(f558,definition,
( spl0_39
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f559,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f558]) ).
thf(f560,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_13 ),
inference(avatar_component_clause,[],[f178]) ).
thf(f561,plain,
( spl0_38
| spl0_39
| ~ spl0_13
| ~ spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f551,f171,f110,f178,f558,f555]) ).
thf(f562,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_13 ),
inference(constrained_superposition,[],[f560,f37]) ).
thf(f563,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f562]) ).
thf(f564,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f563,f31]) ).
thf(f574,definition,
( spl0_40
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f575,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f574]) ).
thf(f579,definition,
( spl0_41
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f580,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_41 ),
inference(avatar_component_clause,[],[f579]) ).
thf(f582,definition,
( spl0_42
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f583,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f582]) ).
thf(f585,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| spl0_41 ),
inference(constrained_superposition,[],[f580,f36]) ).
thf(f588,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_41 ),
inference(trivial_inequality_removal,[],[f585]) ).
thf(f590,plain,
( $false
| spl0_11
| spl0_41 ),
inference(forward_subsumption_resolution,[],[f588,f497]) ).
thf(f591,plain,
( spl0_11
| spl0_41 ),
inference(avatar_contradiction_clause,[],[f590]) ).
thf(f595,plain,
( spl0_11
| spl0_41 ),
inference(avatar_split_clause,[],[f588,f579,f171]) ).
thf(f597,definition,
( spl0_43
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f598,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f597]) ).
thf(f599,plain,
( ~ spl0_11
| spl0_43
| ~ spl0_15
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f512,f468,f211,f597,f171]) ).
thf(f605,definition,
( spl0_45
<=> ( ( r @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f606,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f605]) ).
thf(f608,definition,
( spl0_46
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f609,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f608]) ).
thf(f610,plain,
( spl0_45
| spl0_46 ),
inference(avatar_split_clause,[],[f107,f608,f605]) ).
thf(f614,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_25 ),
inference(constrained_superposition,[],[f395,f172]) ).
thf(f616,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_11
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f614]) ).
thf(f618,plain,
( spl0_33
| ~ spl0_11
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f616,f263,f171,f427]) ).
thf(f619,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f87,f36]) ).
thf(f624,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f619]) ).
thf(f625,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f624]) ).
thf(f626,plain,
( ! [X0: $i] :
( ( b @ z @ X0 )
!= $true )
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f625,f140]) ).
thf(f627,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| spl0_1
| ~ spl0_4 ),
inference(constrained_superposition,[],[f626,f35]) ).
thf(f629,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ X0 ) )
= $true )
| spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f627]) ).
thf(f631,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| spl0_1
| ~ spl0_4
| ~ spl0_29 ),
inference(constrained_superposition,[],[f325,f629]) ).
thf(f636,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_1
| ~ spl0_4
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f631]) ).
thf(f637,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| spl0_1
| ~ spl0_4
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f636,f629]) ).
thf(f647,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f575,f150]) ).
thf(f648,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f575,f55]) ).
thf(f650,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f647]) ).
thf(f652,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_40 ),
inference(duplicate_literal_removal,[],[f648]) ).
thf(f653,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f652]) ).
thf(f691,definition,
( spl0_47
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
thf(f692,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f691]) ).
thf(f696,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X3 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f26,f500]) ).
thf(f699,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X3 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f696]) ).
thf(f701,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_20
| ~ spl0_47 ),
inference(constrained_superposition,[],[f692,f228]) ).
thf(f711,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_20
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f701]) ).
thf(f715,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_6
| ~ spl0_20
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f711,f111]) ).
thf(f778,definition,
( spl0_48
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f779,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f778]) ).
thf(f781,definition,
( spl0_49
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f782,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f781]) ).
thf(f787,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_13
| ~ spl0_49 ),
inference(constrained_superposition,[],[f782,f564]) ).
thf(f790,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_13
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f787]) ).
thf(f792,plain,
( ~ spl0_41
| spl0_13
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f790,f781,f178,f579]) ).
thf(f796,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_29 ),
inference(constrained_superposition,[],[f637,f179]) ).
thf(f800,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f796]) ).
thf(f805,plain,
( $false
| spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f800,f629]) ).
thf(f806,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f805]) ).
thf(f808,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_13 ),
inference(constrained_superposition,[],[f560,f37]) ).
thf(f809,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f808]) ).
thf(f810,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f809,f31]) ).
thf(f814,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_13 ),
inference(constrained_superposition,[],[f27,f810]) ).
thf(f817,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f814]) ).
thf(f821,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f559,f151]) ).
thf(f824,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f821]) ).
thf(f829,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| spl0_13 ),
inference(constrained_superposition,[],[f817,f35]) ).
thf(f832,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f829]) ).
thf(f836,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f650,f36]) ).
thf(f844,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_40 ),
inference(duplicate_literal_removal,[],[f836]) ).
thf(f845,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f844]) ).
thf(f847,definition,
( spl0_50
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
thf(f848,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f847]) ).
thf(f851,definition,
( spl0_51
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f852,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f851]) ).
thf(f853,plain,
( ~ spl0_8
| spl0_51
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f845,f574,f851,f116]) ).
thf(f874,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f539,f212]) ).
thf(f876,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f874]) ).
thf(f877,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f876]) ).
thf(f929,definition,
( spl0_52
<=> ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
thf(f930,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f929]) ).
thf(f936,definition,
( spl0_54
<=> ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f937,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f936]) ).
thf(f943,definition,
( spl0_56
<=> ! [X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f944,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f943]) ).
thf(f969,definition,
( spl0_57
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f970,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f969]) ).
thf(f1048,definition,
( spl0_58
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f1049,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f1048]) ).
thf(f1051,definition,
( spl0_59
<=> ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f1052,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f1051]) ).
thf(f1055,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| spl0_13
| ~ spl0_59 ),
inference(constrained_superposition,[],[f1052,f810]) ).
thf(f1057,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_59 ),
inference(constrained_superposition,[],[f1052,f556]) ).
thf(f1061,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_38
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f1057]) ).
thf(f1063,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_13
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f1055]) ).
thf(f1067,plain,
( spl0_54
| spl0_13
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f1063,f1051,f178,f936]) ).
thf(f1079,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f937,f55]) ).
thf(f1082,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f1079]) ).
thf(f1088,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ X1 ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_38
| ~ spl0_59 ),
inference(constrained_superposition,[],[f1061,f28]) ).
thf(f1095,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ X1 ) ) )
= X0 ) )
| ~ spl0_38
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f1088]) ).
thf(f1100,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f1082,f54]) ).
thf(f1107,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f1100]) ).
thf(f1109,plain,
( spl0_48
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f1107,f936,f778]) ).
thf(f1562,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_38
| ~ spl0_59 ),
inference(constrained_superposition,[],[f1095,f36]) ).
thf(f1566,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_38
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f1562]) ).
thf(f1944,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f152,f31]) ).
thf(f1989,definition,
( spl0_60
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
thf(f1990,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_60 ),
inference(avatar_component_clause,[],[f1989]) ).
thf(f1996,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_60 ),
inference(constrained_superposition,[],[f1990,f28]) ).
thf(f1997,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_60 ),
inference(trivial_inequality_removal,[],[f1996]) ).
thf(f2106,definition,
( spl0_63
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
thf(f2107,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f2106]) ).
thf(f2203,definition,
( spl0_68
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f2204,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_68 ),
inference(avatar_component_clause,[],[f2203]) ).
thf(f2216,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f699,f1944]) ).
thf(f2233,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( r @ X3 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f26,f1944]) ).
thf(f2246,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f2233]) ).
thf(f2249,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f2216]) ).
thf(f2255,definition,
( spl0_69
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f2256,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f2255]) ).
thf(f2258,definition,
( spl0_70
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
thf(f2259,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_70 ),
inference(avatar_component_clause,[],[f2258]) ).
thf(f2262,definition,
( spl0_71
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f2263,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f2262]) ).
thf(f2269,definition,
( spl0_73
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f2270,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f2269]) ).
thf(f2273,plain,
( spl0_71
| spl0_73
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f2249,f499,f2269,f2262]) ).
thf(f2367,definition,
( spl0_74
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
thf(f2368,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f2367]) ).
thf(f2409,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f48,f2270]) ).
thf(f2429,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f2409]) ).
thf(f2432,definition,
( spl0_80
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f2433,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f2432]) ).
thf(f2443,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_29
| ~ spl0_80 ),
inference(constrained_superposition,[],[f466,f2433]) ).
thf(f2463,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_15
| ~ spl0_29
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f2443]) ).
thf(f2490,definition,
( spl0_83
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f2491,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f2490]) ).
thf(f2493,definition,
( spl0_84
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
thf(f2494,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f2493]) ).
thf(f2495,plain,
( spl0_83
| spl0_84
| ~ spl0_15
| ~ spl0_29
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f2463,f2432,f324,f211,f2493,f2490]) ).
thf(f2501,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| spl0_1
| ~ spl0_38
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f1566,f140]) ).
thf(f2503,plain,
( spl0_30
| spl0_4
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f832,f178,f83,f86,f351]) ).
thf(f2505,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| spl0_70
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f2429,f2259]) ).
thf(f2507,definition,
( spl0_86
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
thf(f2508,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f2507]) ).
thf(f2513,definition,
( spl0_87
<=> ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
thf(f2514,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f2513]) ).
thf(f2523,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| spl0_1
| ~ spl0_38
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f2501,f31]) ).
thf(f2529,plain,
( spl0_87
| spl0_1
| ~ spl0_38
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f2523,f1051,f555,f67,f2513]) ).
thf(f2538,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_3 ),
inference(constrained_superposition,[],[f84,f35]) ).
thf(f2541,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_3 ),
inference(trivial_inequality_removal,[],[f2538]) ).
thf(f2545,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_6
| ~ spl0_13 ),
inference(constrained_superposition,[],[f441,f179]) ).
thf(f2548,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f26,f179]) ).
thf(f2551,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f2548]) ).
thf(f2555,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f2545]) ).
thf(f2556,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f2555]) ).
thf(f2560,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_6
| spl0_11
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f2556,f497]) ).
thf(f2609,definition,
( spl0_89
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
thf(f2610,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_89 ),
inference(avatar_component_clause,[],[f2609]) ).
thf(f2613,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_89 ),
inference(constrained_superposition,[],[f2610,f28]) ).
thf(f2614,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_89 ),
inference(trivial_inequality_removal,[],[f2613]) ).
thf(f2638,definition,
( spl0_90
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
thf(f2639,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f2638]) ).
thf(f2645,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_80 ),
inference(constrained_superposition,[],[f2560,f2433]) ).
thf(f2652,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f2645]) ).
thf(f2653,plain,
( spl0_83
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f2652,f2432,f178,f171,f110,f2490]) ).
thf(f2697,definition,
( spl0_93
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
thf(f2698,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f2697]) ).
thf(f2699,plain,
( spl0_57
| spl0_93
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f877,f211,f2697,f969]) ).
thf(f2728,definition,
( spl0_94
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
thf(f2729,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f2728]) ).
thf(f2785,definition,
( spl0_95
<=> ! [X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
thf(f2786,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f2785]) ).
thf(f2789,definition,
( spl0_96
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
thf(f2790,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f2789]) ).
thf(f2820,definition,
( spl0_97
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
thf(f2821,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f2820]) ).
thf(f2826,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_95 ),
inference(constrained_superposition,[],[f2786,f150]) ).
thf(f2827,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_95 ),
inference(constrained_superposition,[],[f2786,f55]) ).
thf(f2829,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f2827]) ).
thf(f2831,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f2826]) ).
thf(f2832,plain,
( spl0_50
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f2831,f2785,f847]) ).
thf(f2833,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f848,f36]) ).
thf(f2836,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f2833]) ).
thf(f2838,plain,
( spl0_51
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f2836,f847,f851]) ).
thf(f2883,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true ) )
| spl0_70
| ~ spl0_73 ),
inference(constrained_superposition,[],[f2505,f36]) ).
thf(f2893,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ z )
!= $true ) )
| spl0_70
| ~ spl0_73 ),
inference(duplicate_literal_removal,[],[f2883]) ).
thf(f2894,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ z )
!= $true ) )
| spl0_70
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f2893]) ).
thf(f2897,definition,
( spl0_98
<=> ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
thf(f2898,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f2897]) ).
thf(f2907,definition,
( spl0_101
<=> ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
thf(f2908,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f2907]) ).
thf(f2911,definition,
( spl0_102
<=> ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
thf(f2912,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f2911]) ).
thf(f2914,definition,
( spl0_103
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
thf(f2915,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
= $true )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f2914]) ).
thf(f2916,plain,
( spl0_102
| spl0_103
| spl0_70
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f2894,f2269,f2258,f2914,f2911]) ).
thf(f2940,definition,
( spl0_104
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
thf(f2941,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f2940]) ).
thf(f2965,definition,
( spl0_106
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
thf(f2966,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f2965]) ).
thf(f2970,definition,
( spl0_107
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
thf(f2971,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_107 ),
inference(avatar_component_clause,[],[f2970]) ).
thf(f2973,definition,
( spl0_108
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
thf(f2974,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f2973]) ).
thf(f3016,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_108 ),
inference(constrained_superposition,[],[f2974,f36]) ).
thf(f3018,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_108 ),
inference(constrained_superposition,[],[f2974,f54]) ).
thf(f3022,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f3018]) ).
thf(f3027,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f3016]) ).
thf(f3028,plain,
( spl0_101
| spl0_80
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f3022,f2973,f2432,f2907]) ).
thf(f3030,definition,
( spl0_109
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
thf(f3031,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f3030]) ).
thf(f3034,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_70
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f3027,f2259]) ).
thf(f3035,plain,
( spl0_102
| spl0_70
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f3034,f2973,f2258,f2911]) ).
thf(f3058,definition,
( spl0_110
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
thf(f3059,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f3058]) ).
thf(f3061,definition,
( spl0_111
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
thf(f3062,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f3061]) ).
thf(f3065,definition,
( spl0_112
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
thf(f3066,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f3065]) ).
thf(f3130,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_25
| ~ spl0_104 ),
inference(constrained_superposition,[],[f2941,f264]) ).
thf(f3141,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f3130]) ).
thf(f3155,definition,
( spl0_113
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
thf(f3156,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f3155]) ).
thf(f3161,plain,
( spl0_113
| ~ spl0_25
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f3141,f2940,f263,f3155]) ).
thf(f3225,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_13
| ~ spl0_25 ),
inference(constrained_superposition,[],[f2551,f264]) ).
thf(f3226,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_6
| ~ spl0_13 ),
inference(constrained_superposition,[],[f2551,f111]) ).
thf(f3237,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_13
| ~ spl0_25 ),
inference(duplicate_literal_removal,[],[f3225]) ).
thf(f3238,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_13
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f3237]) ).
thf(f3244,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_6
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f3226]) ).
thf(f3245,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f3244]) ).
thf(f3251,definition,
( spl0_114
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
thf(f3252,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f3251]) ).
thf(f3254,definition,
( spl0_115
<=> ! [X1: $i] :
( ( r @ ( s @ z ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
thf(f3255,plain,
( ! [X1: $i] :
( ( r @ ( s @ z ) @ X1 )
!= $true )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f3254]) ).
thf(f3256,plain,
( spl0_114
| spl0_115
| ~ spl0_13
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f3238,f263,f178,f3254,f3251]) ).
thf(f3257,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_6
| spl0_11
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f3245,f497]) ).
thf(f3260,plain,
( spl0_115
| spl0_114
| ~ spl0_6
| spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f3257,f178,f171,f110,f3251,f3254]) ).
thf(f3288,plain,
( ( $true != $true )
| ~ spl0_25
| ~ spl0_115 ),
inference(constrained_superposition,[],[f3255,f264]) ).
thf(f3289,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_6
| ~ spl0_115 ),
inference(constrained_superposition,[],[f3255,f111]) ).
thf(f3298,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ~ spl0_6
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f3289]) ).
thf(f3300,plain,
( $false
| ~ spl0_25
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f3288]) ).
thf(f3301,plain,
( ~ spl0_25
| ~ spl0_115 ),
inference(avatar_contradiction_clause,[],[f3300]) ).
thf(f3307,plain,
( spl0_10
| ~ spl0_6
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f3298,f3254,f110,f145]) ).
thf(f3397,plain,
( spl0_45
| spl0_3 ),
inference(avatar_split_clause,[],[f2541,f83,f605]) ).
thf(f3407,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f2912,f28]) ).
thf(f3408,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f3407]) ).
thf(f3418,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_101 ),
inference(constrained_superposition,[],[f2908,f54]) ).
thf(f3420,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_101 ),
inference(trivial_inequality_removal,[],[f3418]) ).
thf(f3427,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_101 ),
inference(constrained_superposition,[],[f3420,f35]) ).
thf(f3429,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_101 ),
inference(trivial_inequality_removal,[],[f3427]) ).
thf(f3431,plain,
( spl0_5
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f3429,f2907,f89]) ).
thf(f3433,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f87,f36]) ).
thf(f3436,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f3433]) ).
thf(f3437,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f3436]) ).
thf(f3440,plain,
( ! [X0: $i] :
( ( b @ z @ X0 )
!= $true )
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f3437,f140]) ).
thf(f3441,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| spl0_1
| ~ spl0_4 ),
inference(constrained_superposition,[],[f3440,f35]) ).
thf(f3443,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ X0 ) )
= $true )
| spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f3441]) ).
thf(f3455,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_11
| ~ spl0_13 ),
inference(constrained_superposition,[],[f2560,f3443]) ).
thf(f3471,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f3455]) ).
thf(f3473,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_11
| ~ spl0_13 ),
inference(constrained_superposition,[],[f3471,f179]) ).
thf(f3478,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f3473]) ).
thf(f3480,plain,
( $false
| spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_11
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f3478,f3443]) ).
thf(f3481,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f3480]) ).
thf(f3483,definition,
( spl0_117
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
thf(f3484,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f3483]) ).
thf(f3486,definition,
( spl0_118
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
thf(f3487,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f3486]) ).
thf(f3490,definition,
( spl0_119
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
thf(f3491,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f3490]) ).
thf(f3493,definition,
( spl0_120
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
thf(f3494,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f3493]) ).
thf(f3495,plain,
( spl0_119
| spl0_120
| spl0_60 ),
inference(avatar_split_clause,[],[f1997,f1989,f3493,f3490]) ).
thf(f3497,plain,
( spl0_35
| ~ spl0_6
| ~ spl0_20
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f715,f691,f227,f110,f484]) ).
thf(f3499,definition,
( spl0_121
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
thf(f3500,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f3499]) ).
thf(f3502,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_28
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f322,f598]) ).
thf(f3504,plain,
( spl0_87
| ~ spl0_28
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f3502,f597,f321,f2513]) ).
thf(f3505,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_45 ),
inference(constrained_superposition,[],[f2560,f606]) ).
thf(f3507,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f26,f606]) ).
thf(f3509,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f3505]) ).
thf(f3510,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f3507]) ).
thf(f3515,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_45 ),
inference(constrained_superposition,[],[f3509,f179]) ).
thf(f3520,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f3515]) ).
thf(f3523,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_25 ),
inference(constrained_superposition,[],[f246,f264]) ).
thf(f3531,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_21
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f3523]) ).
thf(f3539,plain,
( $false
| ~ spl0_21
| ~ spl0_25
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f3531,f606]) ).
thf(f3540,plain,
( ~ spl0_21
| ~ spl0_25
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f3539]) ).
thf(f3597,definition,
( spl0_122
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
thf(f3598,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f3597]) ).
thf(f3692,definition,
( spl0_124
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
thf(f3693,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f3692]) ).
thf(f3774,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f3408,f28]) ).
thf(f3777,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_102 ),
inference(duplicate_literal_removal,[],[f3774]) ).
thf(f3778,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f3777]) ).
thf(f3841,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f930,f35]) ).
thf(f3844,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f3841]) ).
thf(f3848,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_45
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f3844,f3520]) ).
thf(f3849,plain,
( ~ spl0_8
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_45
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f3848,f929,f605,f178,f171,f110,f116]) ).
thf(f3850,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f215,f36]) ).
thf(f3854,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f3850]) ).
thf(f3855,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f3854]) ).
thf(f3857,plain,
( ! [X0: $i] :
( ( b @ z @ X0 )
!= $true )
| spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f3855,f497]) ).
thf(f3858,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| spl0_11
| ~ spl0_16 ),
inference(constrained_superposition,[],[f3857,f35]) ).
thf(f3861,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ X0 ) )
= $true )
| spl0_11
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f3858]) ).
thf(f3862,plain,
( ( $true != $true )
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_16
| ~ spl0_45 ),
inference(constrained_superposition,[],[f3520,f3861]) ).
thf(f3879,plain,
( $false
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_16
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f3862]) ).
thf(f3880,plain,
( ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_16
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f3879]) ).
thf(f3896,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f2258]) ).
thf(f3903,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_70 ),
inference(constrained_superposition,[],[f26,f3896]) ).
thf(f3910,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f3903]) ).
thf(f3921,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_70 ),
inference(constrained_superposition,[],[f3910,f1944]) ).
thf(f3932,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f3921]) ).
thf(f3935,definition,
( spl0_128
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
thf(f3936,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f3935]) ).
thf(f3938,definition,
( spl0_129
<=> ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
thf(f3939,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f3938]) ).
thf(f3948,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f27,f3066]) ).
thf(f3950,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f3948]) ).
thf(f3979,definition,
( spl0_131
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
thf(f3980,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f3979]) ).
thf(f4026,definition,
( spl0_132
<=> ! [X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
thf(f4027,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f4026]) ).
thf(f4066,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_122 ),
inference(constrained_superposition,[],[f3598,f35]) ).
thf(f4077,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f4066]) ).
thf(f4357,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f3950,f54]) ).
thf(f4358,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f3950,f150]) ).
thf(f4362,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f4358]) ).
thf(f4363,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f4357]) ).
thf(f4367,definition,
( spl0_134
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
thf(f4368,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f4367]) ).
thf(f4369,plain,
( spl0_134
| spl0_90
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f4362,f3065,f2638,f4367]) ).
thf(f4371,definition,
( spl0_135
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
thf(f4372,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f4371]) ).
thf(f4373,plain,
( spl0_135
| spl0_80
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f4363,f3065,f2432,f4371]) ).
thf(f4375,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f4372,f35]) ).
thf(f4378,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f4372,f55]) ).
thf(f4380,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_135 ),
inference(duplicate_literal_removal,[],[f4378]) ).
thf(f4381,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f4380]) ).
thf(f4382,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f4375]) ).
thf(f4385,plain,
( spl0_27
| spl0_84
| ~ spl0_17
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f4382,f4371,f217,f2493,f278]) ).
thf(f4398,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f4368,f35]) ).
thf(f4402,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f4398]) ).
thf(f4409,definition,
( spl0_136
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
thf(f4410,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f4409]) ).
thf(f4411,plain,
( ~ spl0_17
| spl0_84
| spl0_136
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f4402,f4367,f4409,f2493,f217]) ).
thf(f4414,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_112
| ~ spl0_136 ),
inference(constrained_superposition,[],[f4410,f3066]) ).
thf(f4418,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_112
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f4414]) ).
thf(f4422,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_112
| ~ spl0_136 ),
inference(constrained_superposition,[],[f4418,f35]) ).
thf(f4424,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_112
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f4422]) ).
thf(f4426,plain,
( spl0_84
| ~ spl0_112
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4424,f4409,f3065,f2493]) ).
thf(f4435,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_90
| ~ spl0_114 ),
inference(constrained_superposition,[],[f3252,f2639]) ).
thf(f4446,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_90
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f4435]) ).
thf(f4450,definition,
( spl0_137
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
thf(f4451,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f4450]) ).
thf(f4453,definition,
( spl0_138
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
thf(f4454,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f4453]) ).
thf(f4457,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_90
| ~ spl0_114 ),
inference(constrained_superposition,[],[f4446,f37]) ).
thf(f4459,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_90
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f4457]) ).
thf(f4460,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_90
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f4459,f31]) ).
thf(f4461,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_27
| ~ spl0_90
| ~ spl0_114 ),
inference(constrained_superposition,[],[f279,f4460]) ).
thf(f4472,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_27
| ~ spl0_90
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f4461]) ).
thf(f4485,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_27
| ~ spl0_90
| ~ spl0_114 ),
inference(constrained_superposition,[],[f4472,f35]) ).
thf(f4487,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_27
| ~ spl0_90
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f4485]) ).
thf(f4489,plain,
( spl0_84
| ~ spl0_27
| ~ spl0_90
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f4487,f3251,f2638,f278,f2493]) ).
thf(f4491,plain,
( ~ spl0_8
| spl0_25
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f2829,f2785,f263,f116]) ).
thf(f4493,definition,
( spl0_139
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
thf(f4494,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f4493]) ).
thf(f4501,plain,
( spl0_25
| ~ spl0_8
| spl0_26
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f653,f574,f274,f116,f263]) ).
thf(f4505,plain,
( spl0_26
| ~ spl0_19
| spl0_120
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f4381,f4371,f3493,f224,f274]) ).
thf(f4531,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f55,f261]) ).
thf(f4613,definition,
( spl0_141
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
thf(f4614,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_141 ),
inference(avatar_component_clause,[],[f4613]) ).
thf(f4618,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f4531,f32]) ).
thf(f4625,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f1989]) ).
thf(f4626,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_80 ),
inference(avatar_component_clause,[],[f2432]) ).
thf(f4629,definition,
( spl0_142
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
thf(f4630,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_142 ),
inference(avatar_component_clause,[],[f4629]) ).
thf(f4632,definition,
( spl0_143
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f4633,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f4632]) ).
thf(f4636,definition,
( spl0_144
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
thf(f4637,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f4636]) ).
thf(f4639,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_84 ),
inference(avatar_component_clause,[],[f2493]) ).
thf(f4650,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f4618,f30]) ).
thf(f4651,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f4650]) ).
thf(f4652,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f275,f36]) ).
thf(f4657,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f4652]) ).
thf(f4658,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f4657,f140]) ).
thf(f4659,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f4658]) ).
thf(f4668,plain,
( ( $true != $true )
| ~ spl0_10
| spl0_11 ),
inference(constrained_superposition,[],[f497,f146]) ).
thf(f4680,plain,
( $false
| ~ spl0_10
| spl0_11 ),
inference(trivial_inequality_removal,[],[f4668]) ).
thf(f4681,plain,
( ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f4680]) ).
thf(f4705,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_45
| ~ spl0_102 ),
inference(constrained_superposition,[],[f3520,f3778]) ).
thf(f4710,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_13
| ~ spl0_102 ),
inference(constrained_superposition,[],[f2551,f3778]) ).
thf(f4724,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_45
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f4705]) ).
thf(f4725,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_13
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f4710]) ).
thf(f4736,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_45
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f4724,f31]) ).
thf(f4737,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_13
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f4725,f31]) ).
thf(f4738,plain,
( $false
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_45
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f4736,f497]) ).
thf(f4739,plain,
( ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_45
| ~ spl0_102 ),
inference(avatar_contradiction_clause,[],[f4738]) ).
thf(f4740,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| spl0_11
| ~ spl0_13
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f4737,f497]) ).
thf(f4741,plain,
( spl0_23
| spl0_21
| spl0_11
| ~ spl0_13
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f4740,f2911,f178,f171,f245,f252]) ).
thf(f4742,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_80 ),
inference(constrained_superposition,[],[f4626,f37]) ).
thf(f4743,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_80 ),
inference(trivial_inequality_removal,[],[f4742]) ).
thf(f4744,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_80 ),
inference(forward_subsumption_resolution,[],[f4743,f31]) ).
thf(f4760,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_120
| ~ spl0_132 ),
inference(constrained_superposition,[],[f4027,f3494]) ).
thf(f4761,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_70
| ~ spl0_120 ),
inference(constrained_superposition,[],[f3910,f3494]) ).
thf(f4767,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_70
| ~ spl0_120 ),
inference(trivial_inequality_removal,[],[f4761]) ).
thf(f4770,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_120
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f4760]) ).
thf(f4772,definition,
( spl0_145
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
thf(f4773,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f4772]) ).
thf(f4774,plain,
( spl0_23
| spl0_145
| ~ spl0_70
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f4767,f3493,f2258,f4772,f252]) ).
thf(f4775,plain,
( $false
| ~ spl0_45
| ~ spl0_120
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f4770,f606]) ).
thf(f4776,plain,
( ~ spl0_45
| ~ spl0_120
| ~ spl0_132 ),
inference(avatar_contradiction_clause,[],[f4775]) ).
thf(f4777,plain,
( $false
| spl0_80
| spl0_141 ),
inference(forward_subsumption_resolution,[],[f4614,f4744]) ).
thf(f4778,plain,
( spl0_80
| spl0_141 ),
inference(avatar_contradiction_clause,[],[f4777]) ).
thf(f4789,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_90
| ~ spl0_114 ),
inference(constrained_superposition,[],[f3252,f2639]) ).
thf(f4790,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f3252,f56]) ).
thf(f4792,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f3252,f37]) ).
thf(f4793,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f4790]) ).
thf(f4794,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_90
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f4789]) ).
thf(f4795,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f4792]) ).
thf(f4797,plain,
( $false
| ~ spl0_90
| ~ spl0_114
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f4794,f3494]) ).
thf(f4798,plain,
( ~ spl0_90
| ~ spl0_114
| ~ spl0_120 ),
inference(avatar_contradiction_clause,[],[f4797]) ).
thf(f4808,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_120
| ~ spl0_128 ),
inference(constrained_superposition,[],[f3936,f3494]) ).
thf(f4812,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_120
| ~ spl0_128 ),
inference(trivial_inequality_removal,[],[f4808]) ).
thf(f4817,plain,
( $false
| ~ spl0_13
| ~ spl0_120
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f4812,f179]) ).
thf(f4818,plain,
( ~ spl0_13
| ~ spl0_120
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f4817]) ).
thf(f4820,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_129 ),
inference(constrained_superposition,[],[f3939,f179]) ).
thf(f4826,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_13
| ~ spl0_129 ),
inference(trivial_inequality_removal,[],[f4820]) ).
thf(f4827,plain,
( $false
| ~ spl0_13
| ~ spl0_45
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f4826,f606]) ).
thf(f4828,plain,
( ~ spl0_13
| ~ spl0_45
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f4827]) ).
thf(f4829,plain,
( $false
| ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_30
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f352,f3520]) ).
thf(f4830,plain,
( ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_30
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f4829]) ).
thf(f4838,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f27,f4625]) ).
thf(f4844,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f4838]) ).
thf(f4850,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_80
| ~ spl0_110 ),
inference(constrained_superposition,[],[f3059,f2433]) ).
thf(f4851,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_39
| ~ spl0_80 ),
inference(constrained_superposition,[],[f824,f2433]) ).
thf(f4858,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_63
| ~ spl0_80 ),
inference(constrained_superposition,[],[f2107,f2433]) ).
thf(f4859,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f26,f2433]) ).
thf(f4860,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f4859]) ).
thf(f4862,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_63
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f4858]) ).
thf(f4866,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_80
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f4850]) ).
thf(f4868,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_39
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f4851]) ).
thf(f4872,plain,
( spl0_112
| ~ spl0_39
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f4868,f2432,f558,f3065]) ).
thf(f4888,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_90 ),
inference(constrained_superposition,[],[f26,f2639]) ).
thf(f4895,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f4888]) ).
thf(f4935,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_83
| ~ spl0_90 ),
inference(constrained_superposition,[],[f2491,f2639]) ).
thf(f4936,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_70
| ~ spl0_83 ),
inference(constrained_superposition,[],[f2491,f3896]) ).
thf(f4938,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_83
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f4935]) ).
thf(f4941,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_70
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f4936]) ).
thf(f4942,plain,
( $false
| ~ spl0_13
| ~ spl0_83
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f4938,f179]) ).
thf(f4943,plain,
( ~ spl0_13
| ~ spl0_83
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f4942]) ).
thf(f4944,plain,
( $false
| ~ spl0_45
| ~ spl0_70
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f4941,f606]) ).
thf(f4945,plain,
( ~ spl0_45
| ~ spl0_70
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f4944]) ).
thf(f4947,definition,
( spl0_146
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
thf(f4948,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f4947]) ).
thf(f4956,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_60 ),
inference(constrained_superposition,[],[f114,f4625]) ).
thf(f4959,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_7
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f4956]) ).
thf(f4962,plain,
( spl0_98
| ~ spl0_7
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f4959,f1989,f113,f2897]) ).
thf(f4987,plain,
( ~ spl0_1
| ~ spl0_80
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f4866,f3058,f2432,f67]) ).
thf(f4993,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_63
| ~ spl0_70
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f4862,f3896]) ).
thf(f4994,plain,
( spl0_110
| ~ spl0_63
| ~ spl0_70
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f4993,f2432,f2258,f2106,f3058]) ).
thf(f4996,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_1
| ~ spl0_45 ),
inference(constrained_superposition,[],[f3510,f68]) ).
thf(f4997,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f26,f68]) ).
thf(f4998,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f4997]) ).
thf(f4999,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_45 ),
inference(duplicate_literal_removal,[],[f4996]) ).
thf(f5000,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f4999]) ).
thf(f5008,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_45 ),
inference(constrained_superposition,[],[f5000,f68]) ).
thf(f5009,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f5008]) ).
thf(f5013,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_45
| ~ spl0_80 ),
inference(constrained_superposition,[],[f5009,f2433]) ).
thf(f5019,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_45
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f5013]) ).
thf(f5020,plain,
( $false
| ~ spl0_1
| ~ spl0_45
| ~ spl0_70
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f5019,f3896]) ).
thf(f5021,plain,
( ~ spl0_1
| ~ spl0_45
| ~ spl0_70
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f5020]) ).
thf(f5022,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_84
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f4077,f4639]) ).
thf(f5024,definition,
( spl0_148
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
thf(f5025,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f5024]) ).
thf(f5027,plain,
( ~ spl0_3
| spl0_27
| spl0_84
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f5022,f3597,f2493,f278,f83]) ).
thf(f5054,definition,
( spl0_149
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
thf(f5055,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f5054]) ).
thf(f5061,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_70
| ~ spl0_137 ),
inference(constrained_superposition,[],[f4451,f3896]) ).
thf(f5066,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_70
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f5061]) ).
thf(f5067,plain,
( $false
| ~ spl0_1
| ~ spl0_70
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f5066,f68]) ).
thf(f5068,plain,
( ~ spl0_1
| ~ spl0_70
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f5067]) ).
thf(f5069,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_138 ),
inference(constrained_superposition,[],[f4454,f37]) ).
thf(f5070,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_80
| ~ spl0_138 ),
inference(constrained_superposition,[],[f4454,f2433]) ).
thf(f5073,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_70
| ~ spl0_138 ),
inference(constrained_superposition,[],[f4454,f3896]) ).
thf(f5076,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f5069]) ).
thf(f5077,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_70
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f5073]) ).
thf(f5078,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_80
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f5070]) ).
thf(f5079,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_80
| ~ spl0_138 ),
inference(constrained_superposition,[],[f5078,f37]) ).
thf(f5080,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_80
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f5079]) ).
thf(f5081,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_80
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f5080,f31]) ).
thf(f5083,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_80
| ~ spl0_138 ),
inference(constrained_superposition,[],[f43,f5081]) ).
thf(f5087,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_80
| ~ spl0_138 ),
inference(constrained_superposition,[],[f27,f5081]) ).
thf(f5090,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_80
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f5087]) ).
thf(f5093,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_80
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f5083]) ).
thf(f5094,plain,
( spl0_149
| spl0_45
| ~ spl0_80
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f5093,f4453,f2432,f605,f5054]) ).
thf(f5109,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f390,f35]) ).
thf(f5112,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f5109]) ).
thf(f5114,plain,
( spl0_15
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f5112,f389,f211]) ).
thf(f5118,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_149 ),
inference(constrained_superposition,[],[f5055,f3066]) ).
thf(f5122,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_112
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f5118]) ).
thf(f5127,plain,
( spl0_124
| ~ spl0_112
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f5122,f5054,f3065,f3692]) ).
thf(f5141,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f4948,f36]) ).
thf(f5150,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_146 ),
inference(duplicate_literal_removal,[],[f5141]) ).
thf(f5151,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f5150]) ).
thf(f5153,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_13 ),
inference(constrained_superposition,[],[f4998,f179]) ).
thf(f5154,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_80 ),
inference(constrained_superposition,[],[f4998,f2433]) ).
thf(f5156,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f5153]) ).
thf(f5157,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f5154]) ).
thf(f5159,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_90 ),
inference(constrained_superposition,[],[f5156,f2639]) ).
thf(f5162,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f5159]) ).
thf(f5165,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_80
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f5162,f2433]) ).
thf(f5167,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_80
| ~ spl0_90 ),
inference(constrained_superposition,[],[f5165,f2433]) ).
thf(f5174,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_80
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f5167]) ).
thf(f5176,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_1
| ~ spl0_80 ),
inference(constrained_superposition,[],[f5157,f151]) ).
thf(f5177,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_80 ),
inference(constrained_superposition,[],[f5157,f1944]) ).
thf(f5180,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f5176]) ).
thf(f5182,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f5177]) ).
thf(f5237,definition,
( spl0_150
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
thf(f5238,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f5237]) ).
thf(f5241,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_80
| ~ spl0_138 ),
inference(constrained_superposition,[],[f5090,f36]) ).
thf(f5246,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_80
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f5241]) ).
thf(f5249,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| spl0_11
| ~ spl0_80
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f5246,f497]) ).
thf(f5251,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_11
| ~ spl0_80
| ~ spl0_138 ),
inference(constrained_superposition,[],[f5249,f35]) ).
thf(f5257,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| spl0_11
| ~ spl0_80
| ~ spl0_138 ),
inference(duplicate_literal_removal,[],[f5251]) ).
thf(f5258,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| spl0_11
| ~ spl0_80
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f5257]) ).
thf(f5261,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_11
| ~ spl0_70
| ~ spl0_80
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f5258,f5077]) ).
thf(f5263,definition,
( spl0_151
<=> ! [X0: $i] :
( ( b @ z @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
thf(f5264,plain,
( ! [X0: $i] :
( ( b @ z @ X0 )
!= $true )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f5263]) ).
thf(f5265,plain,
( ~ spl0_3
| spl0_151
| spl0_11
| ~ spl0_70
| ~ spl0_80
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f5261,f4453,f2432,f2258,f171,f5263,f83]) ).
thf(f5266,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f5264,f35]) ).
thf(f5269,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ X0 ) )
= $true )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f5266]) ).
thf(f5270,plain,
( ( $true != $true )
| spl0_84
| ~ spl0_151 ),
inference(constrained_superposition,[],[f4639,f5269]) ).
thf(f5271,plain,
( ( $true != $true )
| ~ spl0_70
| ~ spl0_138
| ~ spl0_151 ),
inference(constrained_superposition,[],[f5077,f5269]) ).
thf(f5284,plain,
( $false
| spl0_84
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f5270]) ).
thf(f5285,plain,
( spl0_84
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f5284]) ).
thf(f5295,plain,
( $false
| ~ spl0_70
| ~ spl0_138
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f5271]) ).
thf(f5296,plain,
( ~ spl0_70
| ~ spl0_138
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f5295]) ).
thf(f5308,definition,
( spl0_152
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
thf(f5309,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f5308]) ).
thf(f5312,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f26,f172]) ).
thf(f5313,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f5312]) ).
thf(f5332,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f4860,f1944]) ).
thf(f5335,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f5332]) ).
thf(f5340,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_90 ),
inference(constrained_superposition,[],[f4895,f1944]) ).
thf(f5344,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f5340]) ).
thf(f5374,definition,
( spl0_153
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
thf(f5375,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f5374]) ).
thf(f5378,definition,
( spl0_154
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
thf(f5379,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f5378]) ).
thf(f5414,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f5335,f1944]) ).
thf(f5416,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_80 ),
inference(duplicate_literal_removal,[],[f5414]) ).
thf(f5417,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f5416]) ).
thf(f5524,definition,
( spl0_156
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
thf(f5702,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( $true != $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f26,f90]) ).
thf(f5704,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ X1 @ X3 )
!= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f5702]) ).
thf(f5798,definition,
( spl0_158
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
thf(f5799,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f5798]) ).
thf(f5816,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f5025,f36]) ).
thf(f5825,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_148 ),
inference(duplicate_literal_removal,[],[f5816]) ).
thf(f5826,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f5825]) ).
thf(f5846,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f782,f54]) ).
thf(f5848,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f5846]) ).
thf(f5850,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f5848,f36]) ).
thf(f5852,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f5850]) ).
thf(f5885,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_39
| ~ spl0_49 ),
inference(constrained_superposition,[],[f824,f5852]) ).
thf(f5908,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_39
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f5885]) ).
thf(f5910,plain,
( spl0_158
| ~ spl0_39
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f5908,f781,f558,f5798]) ).
thf(f6034,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_39
| ~ spl0_48 ),
inference(constrained_superposition,[],[f824,f779]) ).
thf(f6035,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f539,f779]) ).
thf(f6043,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_1
| ~ spl0_48 ),
inference(constrained_superposition,[],[f4998,f779]) ).
thf(f6045,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f26,f779]) ).
thf(f6046,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_39
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f6034]) ).
thf(f6048,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f6045]) ).
thf(f6052,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f6035]) ).
thf(f6056,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ z @ X2 )
!= $true ) )
| ~ spl0_1
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f6043]) ).
thf(f6058,plain,
( spl0_121
| ~ spl0_39
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f6046,f778,f558,f3499]) ).
thf(f6061,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_48 ),
inference(constrained_superposition,[],[f6056,f151]) ).
thf(f6069,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_1
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f6061]) ).
thf(f6076,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f6069,f179]) ).
thf(f6077,plain,
( spl0_121
| spl0_129
| ~ spl0_1
| ~ spl0_13
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f6076,f778,f178,f67,f3938,f3499]) ).
thf(f6137,definition,
( spl0_159
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
thf(f6138,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f6137]) ).
thf(f6143,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f4795,f37]) ).
thf(f6146,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f6143]) ).
thf(f6147,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f559,f37]) ).
thf(f6167,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f6147]) ).
thf(f6190,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f6167,f37]) ).
thf(f6194,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f6190]) ).
thf(f6357,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f48,f6194]) ).
thf(f6365,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f6357]) ).
thf(f6376,definition,
( spl0_160
<=> ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
thf(f6377,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f6376]) ).
thf(f6378,plain,
( spl0_42
| spl0_160
| ~ spl0_41
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f6365,f558,f579,f6376,f582]) ).
thf(f6394,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_49
| ~ spl0_160 ),
inference(constrained_superposition,[],[f782,f6377]) ).
thf(f6418,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
!= $true ) )
| ~ spl0_49
| ~ spl0_160 ),
inference(trivial_inequality_removal,[],[f6394]) ).
thf(f6425,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_49
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f6418,f36]) ).
thf(f6426,plain,
( spl0_159
| ~ spl0_49
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f6425,f6376,f781,f6137]) ).
thf(f6976,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_150 ),
inference(constrained_superposition,[],[f5238,f35]) ).
thf(f6981,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f6976]) ).
thf(f6987,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_70
| ~ spl0_138
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f6981,f5077]) ).
thf(f6989,plain,
( ~ spl0_3
| ~ spl0_70
| ~ spl0_138
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f6987,f5237,f4453,f2258,f83]) ).
thf(f7030,definition,
( spl0_170
<=> ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
thf(f7031,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f7030]) ).
thf(f7330,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= z )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f4793,f37]) ).
thf(f7332,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( s @ X0 )
= z )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f7330]) ).
thf(f7334,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f7332,f31]) ).
thf(f7678,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_111 ),
inference(avatar_component_clause,[],[f3061]) ).
thf(f7680,definition,
( spl0_175
<=> ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
thf(f7681,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f7680]) ).
thf(f7789,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f26,f212]) ).
thf(f7805,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f7789]) ).
thf(f8082,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_93 ),
inference(constrained_superposition,[],[f27,f2698]) ).
thf(f8090,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true ) )
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f8082]) ).
thf(f8170,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_158 ),
inference(constrained_superposition,[],[f48,f5799]) ).
thf(f8184,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_158 ),
inference(duplicate_literal_removal,[],[f8170]) ).
thf(f8185,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f8184]) ).
thf(f8189,plain,
( spl0_86
| spl0_42
| ~ spl0_41
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f8185,f5798,f579,f582,f2507]) ).
thf(f8425,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_119 ),
inference(constrained_superposition,[],[f54,f3491]) ).
thf(f8684,definition,
( spl0_183
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f8685,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f8684]) ).
thf(f8703,definition,
( spl0_185
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
thf(f8704,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_185 ),
inference(avatar_component_clause,[],[f8703]) ).
thf(f8733,definition,
( spl0_186
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f8734,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f8733]) ).
thf(f8736,definition,
( spl0_187
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
thf(f8737,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f8736]) ).
thf(f8750,definition,
( spl0_188
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
thf(f8751,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f8750]) ).
thf(f8766,definition,
( spl0_189
<=> ! [X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
thf(f8767,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f8766]) ).
thf(f8772,definition,
( spl0_190
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f8773,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f8772]) ).
thf(f8789,definition,
( spl0_192
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f8790,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f8789]) ).
thf(f8792,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f8425,f32]) ).
thf(f8845,plain,
( $false
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f8792,f30]) ).
thf(f8846,plain,
~ spl0_119,
inference(avatar_contradiction_clause,[],[f8845]) ).
thf(f9935,definition,
( spl0_199
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
thf(f9936,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f9935]) ).
thf(f9959,plain,
( spl0_121
| spl0_97
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f6052,f778,f2820,f3499]) ).
thf(f9962,definition,
( spl0_202
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
thf(f9963,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f9962]) ).
thf(f9965,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_90
| ~ spl0_104 ),
inference(constrained_superposition,[],[f2941,f2639]) ).
thf(f9978,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_90
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f9965]) ).
thf(f9986,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_90
| ~ spl0_104 ),
inference(constrained_superposition,[],[f9978,f1944]) ).
thf(f9993,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_90
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f9986]) ).
thf(f9997,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_86
| ~ spl0_90
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f9993,f2508]) ).
thf(f10013,definition,
( spl0_203
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f10014,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f10013]) ).
thf(f10045,plain,
( spl0_203
| ~ spl0_86
| ~ spl0_90
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f9997,f2940,f2638,f2507,f10013]) ).
thf(f10196,definition,
( spl0_204
<=> ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
thf(f10197,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f10196]) ).
thf(f10607,definition,
( spl0_205
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
thf(f10608,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f10607]) ).
thf(f10638,definition,
( spl0_209
<=> ! [X2: $i,X0: $i,X3: $i] :
( ( ( r @ X3 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X3 @ X2 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f10639,plain,
( ! [X2: $i,X3: $i,X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X3 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X3 @ X2 )
!= $true ) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f10638]) ).
thf(f10723,definition,
( spl0_216
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
thf(f10724,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true ) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f10723]) ).
thf(f10854,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_42
| ~ spl0_112 ),
inference(constrained_superposition,[],[f583,f3066]) ).
thf(f10861,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_42
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f10854]) ).
thf(f10866,plain,
( spl0_98
| ~ spl0_42
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f10861,f3065,f582,f2897]) ).
thf(f11327,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_6
| ~ spl0_114 ),
inference(constrained_superposition,[],[f4793,f111]) ).
thf(f11360,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X3 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f26,f111]) ).
thf(f11377,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f11327]) ).
thf(f11402,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X3 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f11360]) ).
thf(f11411,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_5
| ~ spl0_6 ),
inference(constrained_superposition,[],[f11402,f90]) ).
thf(f11417,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_6
| ~ spl0_15 ),
inference(constrained_superposition,[],[f11402,f212]) ).
thf(f11428,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f11411]) ).
thf(f11429,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f11428]) ).
thf(f11434,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_6
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f11417]) ).
thf(f11436,definition,
( spl0_221
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
thf(f11437,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f11436]) ).
thf(f11439,definition,
( spl0_222
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
thf(f11440,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f11439]) ).
thf(f11441,plain,
( spl0_221
| spl0_222
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f11429,f110,f89,f11439,f11436]) ).
thf(f11442,plain,
( spl0_29
| spl0_28
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f11434,f211,f110,f321,f324]) ).
thf(f11455,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ z @ X2 )
!= $true )
| ( ( r @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f26,f11437]) ).
thf(f11462,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ z @ X2 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true ) )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f11455]) ).
thf(f11759,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_51
| ~ spl0_114 ),
inference(constrained_superposition,[],[f3252,f852]) ).
thf(f11768,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_51
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f11759]) ).
thf(f11797,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ~ spl0_6
| ~ spl0_51
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f11768,f111]) ).
thf(f11805,plain,
( spl0_86
| ~ spl0_6
| ~ spl0_51
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f11797,f3251,f851,f110,f2507]) ).
thf(f12401,definition,
( spl0_227
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f12402,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f12401]) ).
thf(f12430,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f539,f228]) ).
thf(f12456,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f26,f228]) ).
thf(f12476,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f12456]) ).
thf(f12477,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f12430]) ).
thf(f12478,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f12477]) ).
thf(f12490,plain,
( spl0_57
| spl0_121
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f12478,f227,f3499,f969]) ).
thf(f12641,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true ) )
| ~ spl0_121 ),
inference(constrained_superposition,[],[f27,f3500]) ).
thf(f12646,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f12641]) ).
thf(f13973,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_13
| ~ spl0_222 ),
inference(constrained_superposition,[],[f11440,f179]) ).
thf(f13974,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_80
| ~ spl0_222 ),
inference(constrained_superposition,[],[f11440,f2433]) ).
thf(f13981,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_80
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f13974]) ).
thf(f13984,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_13
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f13973]) ).
thf(f13985,plain,
( spl0_83
| ~ spl0_80
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f13981,f11439,f2432,f2490]) ).
thf(f13986,plain,
( spl0_39
| ~ spl0_13
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f13984,f11439,f178,f558]) ).
thf(f14073,definition,
( spl0_237
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).
thf(f14074,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f14073]) ).
thf(f14086,definition,
( spl0_240
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X2 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).
thf(f14087,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f14086]) ).
thf(f14135,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_237 ),
inference(constrained_superposition,[],[f14074,f172]) ).
thf(f14138,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_237 ),
inference(constrained_superposition,[],[f14074,f68]) ).
thf(f14143,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f14138]) ).
thf(f14144,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_11
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f14135]) ).
thf(f14150,plain,
( spl0_205
| ~ spl0_11
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f14144,f14073,f171,f10607]) ).
thf(f14157,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_237 ),
inference(constrained_superposition,[],[f14143,f179]) ).
thf(f14158,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_80
| ~ spl0_237 ),
inference(constrained_superposition,[],[f14143,f2433]) ).
thf(f14163,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_80
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f14158]) ).
thf(f14165,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f14157]) ).
thf(f14167,plain,
( $false
| ~ spl0_1
| ~ spl0_70
| ~ spl0_80
| ~ spl0_237 ),
inference(forward_subsumption_resolution,[],[f14163,f3896]) ).
thf(f14168,plain,
( ~ spl0_1
| ~ spl0_70
| ~ spl0_80
| ~ spl0_237 ),
inference(avatar_contradiction_clause,[],[f14167]) ).
thf(f14170,plain,
( $false
| ~ spl0_1
| ~ spl0_11
| ~ spl0_13
| ~ spl0_237 ),
inference(forward_subsumption_resolution,[],[f14165,f172]) ).
thf(f14171,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_13
| ~ spl0_237 ),
inference(avatar_contradiction_clause,[],[f14170]) ).
thf(f14173,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_90
| ~ spl0_205 ),
inference(constrained_superposition,[],[f10608,f2639]) ).
thf(f14174,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_20
| ~ spl0_205 ),
inference(constrained_superposition,[],[f10608,f228]) ).
thf(f14175,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_15
| ~ spl0_205 ),
inference(constrained_superposition,[],[f10608,f212]) ).
thf(f14183,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_15
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f14175]) ).
thf(f14184,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_20
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f14174]) ).
thf(f14188,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_90
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f14173]) ).
thf(f14190,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_15
| ~ spl0_205
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f14183,f11437]) ).
thf(f14191,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_6
| ~ spl0_20
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f14184,f111]) ).
thf(f14192,plain,
( $false
| ~ spl0_70
| ~ spl0_90
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f14188,f3896]) ).
thf(f14193,plain,
( ~ spl0_70
| ~ spl0_90
| ~ spl0_205 ),
inference(avatar_contradiction_clause,[],[f14192]) ).
thf(f14194,plain,
( spl0_87
| ~ spl0_15
| ~ spl0_205
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f14190,f11436,f10607,f211,f2513]) ).
thf(f14195,plain,
( spl0_36
| ~ spl0_6
| ~ spl0_20
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f14191,f10607,f227,f110,f499]) ).
thf(f14197,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true ) )
| ~ spl0_240 ),
inference(constrained_superposition,[],[f14087,f1944]) ).
thf(f14210,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f14197]) ).
thf(f14245,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f2263,f151]) ).
thf(f14246,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f2263,f1944]) ).
thf(f14255,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f14245]) ).
thf(f14263,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f14246]) ).
thf(f14606,definition,
( spl0_242
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X3 @ z )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).
thf(f14607,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X3 @ z )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true ) )
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f14606]) ).
thf(f14623,definition,
( spl0_243
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X3 @ ( s @ z ) )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).
thf(f14624,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X3 @ ( s @ z ) )
!= $true ) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f14623]) ).
thf(f14649,definition,
( spl0_244
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X3 @ z )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).
thf(f14650,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X3 @ z )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true ) )
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f14649]) ).
thf(f14695,definition,
( spl0_245
<=> ! [X2: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).
thf(f14696,plain,
( ! [X2: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f14695]) ).
thf(f14847,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f930,f28]) ).
thf(f14849,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f930,f150]) ).
thf(f14858,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f14847]) ).
thf(f14859,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f14849]) ).
thf(f14874,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f14859,f55]) ).
thf(f14879,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f14874]) ).
thf(f17167,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ z ) )
| spl0_24 ),
inference(avatar_component_clause,[],[f260]) ).
thf(f17327,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_24 ),
inference(extensionality_resolution,[],[f152,f17167]) ).
thf(f17328,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_24 ),
inference(extensionality_resolution,[],[f152,f17167]) ).
thf(f17330,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_24 ),
inference(extensionality_resolution,[],[f56,f17167]) ).
thf(f17336,definition,
( spl0_289
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).
thf(f17337,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f17336]) ).
thf(f17339,definition,
( spl0_290
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).
thf(f17340,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f17339]) ).
thf(f17341,plain,
( spl0_289
| spl0_290
| spl0_24 ),
inference(avatar_split_clause,[],[f17330,f260,f17339,f17336]) ).
thf(f17343,definition,
( spl0_291
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).
thf(f17344,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f17343]) ).
thf(f17346,definition,
( spl0_292
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
thf(f17347,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f17346]) ).
thf(f17348,plain,
( spl0_291
| spl0_292
| spl0_24 ),
inference(avatar_split_clause,[],[f17328,f260,f17346,f17343]) ).
thf(f17350,definition,
( spl0_293
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).
thf(f17351,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f17350]) ).
thf(f17353,definition,
( spl0_294
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
thf(f17354,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f17353]) ).
thf(f17355,plain,
( spl0_293
| spl0_294
| spl0_24 ),
inference(avatar_split_clause,[],[f17327,f260,f17353,f17350]) ).
thf(f17356,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_80
| ~ spl0_90
| ~ spl0_289 ),
inference(constrained_superposition,[],[f5165,f17337]) ).
thf(f17369,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_289 ),
inference(constrained_superposition,[],[f7805,f17337]) ).
thf(f17374,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_20
| ~ spl0_289 ),
inference(constrained_superposition,[],[f12476,f17337]) ).
thf(f17377,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_5
| ~ spl0_289 ),
inference(constrained_superposition,[],[f5704,f17337]) ).
thf(f17379,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_48
| ~ spl0_289 ),
inference(constrained_superposition,[],[f6048,f17337]) ).
thf(f17381,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_221
| ~ spl0_289 ),
inference(constrained_superposition,[],[f11462,f17337]) ).
thf(f17393,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_20
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f17374]) ).
thf(f17395,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_5
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f17377]) ).
thf(f17397,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_15
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f17369]) ).
thf(f17398,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_48
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f17379]) ).
thf(f17400,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_80
| ~ spl0_90
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f17356]) ).
thf(f17407,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_221
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f17381]) ).
thf(f17414,definition,
( spl0_295
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).
thf(f17415,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_295 ),
inference(avatar_component_clause,[],[f17414]) ).
thf(f17417,definition,
( spl0_296
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).
thf(f17418,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_296 ),
inference(avatar_component_clause,[],[f17417]) ).
thf(f17422,definition,
( spl0_297
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_297])],[avatar_definition]) ).
thf(f17423,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f17422]) ).
thf(f17424,plain,
( spl0_118
| spl0_297
| ~ spl0_20
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f17393,f17336,f227,f17422,f3486]) ).
thf(f17425,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f4629]) ).
thf(f17427,definition,
( spl0_298
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
thf(f17428,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f17427]) ).
thf(f17429,plain,
( spl0_142
| spl0_298
| ~ spl0_5
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f17395,f17336,f89,f17427,f4629]) ).
thf(f17430,plain,
( spl0_297
| spl0_142
| ~ spl0_15
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f17397,f17336,f211,f4629,f17422]) ).
thf(f17431,plain,
( spl0_118
| spl0_298
| ~ spl0_48
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f17398,f17336,f778,f17427,f3486]) ).
thf(f17432,plain,
( ~ spl0_142
| ~ spl0_1
| ~ spl0_13
| ~ spl0_80
| ~ spl0_90
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f17400,f17336,f2638,f2432,f178,f67,f4629]) ).
thf(f17437,definition,
( spl0_299
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_299])],[avatar_definition]) ).
thf(f17438,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_299 ),
inference(avatar_component_clause,[],[f17437]) ).
thf(f17439,plain,
( spl0_142
| spl0_299
| ~ spl0_221
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f17407,f17336,f11436,f17437,f4629]) ).
thf(f17515,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_93
| ~ spl0_292 ),
inference(constrained_superposition,[],[f8090,f17347]) ).
thf(f17519,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_121
| ~ spl0_292 ),
inference(constrained_superposition,[],[f12646,f17347]) ).
thf(f17547,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_93
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f17515]) ).
thf(f17552,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_121
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f17519]) ).
thf(f17564,definition,
( spl0_300
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
thf(f17565,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f17564]) ).
thf(f17567,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_143 ),
inference(avatar_component_clause,[],[f4632]) ).
thf(f17569,definition,
( spl0_301
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).
thf(f17570,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_301 ),
inference(avatar_component_clause,[],[f17569]) ).
thf(f17572,definition,
( spl0_302
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).
thf(f17573,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_302 ),
inference(avatar_component_clause,[],[f17572]) ).
thf(f17576,definition,
( spl0_303
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).
thf(f17577,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f17576]) ).
thf(f17579,definition,
( spl0_304
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).
thf(f17580,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_304 ),
inference(avatar_component_clause,[],[f17579]) ).
thf(f17583,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_183 ),
inference(avatar_component_clause,[],[f8684]) ).
thf(f17585,definition,
( spl0_305
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
thf(f17586,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f17585]) ).
thf(f17589,definition,
( spl0_306
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).
thf(f17590,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f17589]) ).
thf(f17592,definition,
( spl0_307
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).
thf(f17593,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_307 ),
inference(avatar_component_clause,[],[f17592]) ).
thf(f17596,definition,
( spl0_308
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).
thf(f17597,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_308 ),
inference(avatar_component_clause,[],[f17596]) ).
thf(f17600,definition,
( spl0_309
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).
thf(f17601,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f17600]) ).
thf(f17602,plain,
( spl0_142
| spl0_309
| ~ spl0_93
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f17547,f17346,f2697,f17600,f4629]) ).
thf(f17604,definition,
( spl0_310
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).
thf(f17605,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_310 ),
inference(avatar_component_clause,[],[f17604]) ).
thf(f17607,definition,
( spl0_311
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition]) ).
thf(f17608,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_311 ),
inference(avatar_component_clause,[],[f17607]) ).
thf(f17615,definition,
( spl0_313
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_313])],[avatar_definition]) ).
thf(f17616,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f17615]) ).
thf(f17622,plain,
( spl0_118
| spl0_309
| ~ spl0_121
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f17552,f17346,f3499,f17600,f3486]) ).
thf(f17627,definition,
( spl0_315
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_315])],[avatar_definition]) ).
thf(f17628,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f17627]) ).
thf(f17630,definition,
( spl0_316
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_316])],[avatar_definition]) ).
thf(f17631,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_316 ),
inference(avatar_component_clause,[],[f17630]) ).
thf(f17634,definition,
( spl0_317
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
thf(f17635,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f17634]) ).
thf(f17637,definition,
( spl0_318
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_318])],[avatar_definition]) ).
thf(f17638,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_318 ),
inference(avatar_component_clause,[],[f17637]) ).
thf(f17641,definition,
( spl0_319
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_319])],[avatar_definition]) ).
thf(f17642,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_319 ),
inference(avatar_component_clause,[],[f17641]) ).
thf(f17647,definition,
( spl0_320
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_320])],[avatar_definition]) ).
thf(f17648,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_320 ),
inference(avatar_component_clause,[],[f17647]) ).
thf(f17650,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_301 ),
inference(constrained_superposition,[],[f17570,f36]) ).
thf(f17652,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_301 ),
inference(trivial_inequality_removal,[],[f17650]) ).
thf(f17655,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_316 ),
inference(constrained_superposition,[],[f17631,f35]) ).
thf(f17658,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_316 ),
inference(trivial_inequality_removal,[],[f17655]) ).
thf(f17660,plain,
( spl0_142
| spl0_316 ),
inference(avatar_split_clause,[],[f17658,f17630,f4629]) ).
thf(f17698,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_303 ),
inference(constrained_superposition,[],[f150,f17577]) ).
thf(f17974,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_318 ),
inference(avatar_component_clause,[],[f17637]) ).
thf(f17981,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_311 ),
inference(avatar_component_clause,[],[f17607]) ).
thf(f17986,definition,
( spl0_322
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_322])],[avatar_definition]) ).
thf(f17987,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f17986]) ).
thf(f17992,definition,
( spl0_323
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_323])],[avatar_definition]) ).
thf(f17993,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_323 ),
inference(avatar_component_clause,[],[f17992]) ).
thf(f17996,definition,
( spl0_324
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).
thf(f17997,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f17996]) ).
thf(f18001,definition,
( spl0_325
<=> ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).
thf(f18002,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f18001]) ).
thf(f18021,definition,
( spl0_328
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).
thf(f18022,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f18021]) ).
thf(f18024,definition,
( spl0_329
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
thf(f18025,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f18024]) ).
thf(f18046,definition,
( spl0_330
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).
thf(f18047,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_330 ),
inference(avatar_component_clause,[],[f18046]) ).
thf(f18053,definition,
( spl0_331
<=> ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).
thf(f18054,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f18053]) ).
thf(f18057,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f17698,f30]) ).
thf(f18068,definition,
( spl0_333
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_333])],[avatar_definition]) ).
thf(f18069,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_333 ),
inference(avatar_component_clause,[],[f18068]) ).
thf(f18073,definition,
( spl0_334
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_334])],[avatar_definition]) ).
thf(f18074,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_334 ),
inference(avatar_component_clause,[],[f18073]) ).
thf(f18077,definition,
( spl0_335
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_335])],[avatar_definition]) ).
thf(f18078,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_335 ),
inference(avatar_component_clause,[],[f18077]) ).
thf(f18082,definition,
( spl0_336
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_336])],[avatar_definition]) ).
thf(f18083,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_336 ),
inference(avatar_component_clause,[],[f18082]) ).
thf(f18085,definition,
( spl0_337
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_337])],[avatar_definition]) ).
thf(f18086,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_337 ),
inference(avatar_component_clause,[],[f18085]) ).
thf(f18100,definition,
( spl0_339
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_339])],[avatar_definition]) ).
thf(f18101,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f18100]) ).
thf(f18141,plain,
( $false
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f18057,f32]) ).
thf(f18142,plain,
~ spl0_303,
inference(avatar_contradiction_clause,[],[f18141]) ).
thf(f18158,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_240
| spl0_301 ),
inference(constrained_superposition,[],[f14210,f17652]) ).
thf(f18179,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_240
| spl0_301 ),
inference(trivial_inequality_removal,[],[f18158]) ).
thf(f18185,plain,
( spl0_337
| spl0_295
| ~ spl0_240
| spl0_301 ),
inference(avatar_split_clause,[],[f18179,f17569,f14086,f17414,f18085]) ).
thf(f18188,definition,
( spl0_341
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_341])],[avatar_definition]) ).
thf(f18189,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_341 ),
inference(avatar_component_clause,[],[f18188]) ).
thf(f18192,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_308 ),
inference(constrained_superposition,[],[f17597,f35]) ).
thf(f18194,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_308 ),
inference(trivial_inequality_removal,[],[f18192]) ).
thf(f18196,plain,
( spl0_320
| spl0_308 ),
inference(avatar_split_clause,[],[f18194,f17596,f17647]) ).
thf(f18230,definition,
( spl0_342
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_342])],[avatar_definition]) ).
thf(f18231,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_342 ),
inference(avatar_component_clause,[],[f18230]) ).
thf(f18233,definition,
( spl0_343
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).
thf(f18234,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_343 ),
inference(avatar_component_clause,[],[f18233]) ).
thf(f18241,definition,
( spl0_345
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_345])],[avatar_definition]) ).
thf(f18242,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_345 ),
inference(avatar_component_clause,[],[f18241]) ).
thf(f18249,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_114
| spl0_143 ),
inference(constrained_superposition,[],[f17567,f11377]) ).
thf(f18257,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_114
| spl0_143 ),
inference(trivial_inequality_removal,[],[f18249]) ).
thf(f18263,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_114
| spl0_143 ),
inference(forward_subsumption_resolution,[],[f18257,f31]) ).
thf(f18266,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_336 ),
inference(avatar_component_clause,[],[f18082]) ).
thf(f18268,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f8703]) ).
thf(f18270,plain,
( spl0_336
| ~ spl0_6
| ~ spl0_114
| spl0_143 ),
inference(avatar_split_clause,[],[f18263,f4632,f3251,f110,f18082]) ).
thf(f18271,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f2203]) ).
thf(f18279,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_56
| ~ spl0_68 ),
inference(constrained_superposition,[],[f944,f18271]) ).
thf(f18280,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_68 ),
inference(constrained_superposition,[],[f14858,f18271]) ).
thf(f18306,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_52
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f18280]) ).
thf(f18307,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_56
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f18279]) ).
thf(f18321,plain,
( spl0_185
| spl0_302
| ~ spl0_52
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f18306,f2203,f929,f17572,f8703]) ).
thf(f18322,plain,
( ~ spl0_301
| ~ spl0_56
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f18307,f2203,f943,f17569]) ).
thf(f18340,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f2246,f17425]) ).
thf(f18345,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_20
| ~ spl0_142 ),
inference(constrained_superposition,[],[f12476,f17425]) ).
thf(f18356,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_20
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f18345]) ).
thf(f18358,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f18340]) ).
thf(f18369,definition,
( spl0_348
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_348])],[avatar_definition]) ).
thf(f18370,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_348 ),
inference(avatar_component_clause,[],[f18369]) ).
thf(f18371,plain,
( spl0_118
| spl0_348
| ~ spl0_20
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f18356,f4629,f227,f18369,f3486]) ).
thf(f18373,definition,
( spl0_349
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_349])],[avatar_definition]) ).
thf(f18374,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_349 ),
inference(avatar_component_clause,[],[f18373]) ).
thf(f18375,plain,
( spl0_349
| spl0_295
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f18358,f4629,f17414,f18373]) ).
thf(f18415,definition,
( spl0_351
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_351])],[avatar_definition]) ).
thf(f18416,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_351 ),
inference(avatar_component_clause,[],[f18415]) ).
thf(f18471,plain,
( spl0_20
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f14879,f929,f227]) ).
thf(f18537,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_160
| spl0_183 ),
inference(constrained_superposition,[],[f17583,f6377]) ).
thf(f18539,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_160
| spl0_183 ),
inference(trivial_inequality_removal,[],[f18537]) ).
thf(f18542,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_160
| spl0_183
| spl0_336 ),
inference(forward_subsumption_resolution,[],[f18539,f18083]) ).
thf(f18545,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_160
| spl0_183
| spl0_336 ),
inference(forward_subsumption_resolution,[],[f18542,f31]) ).
thf(f18546,plain,
( spl0_119
| ~ spl0_160
| spl0_183
| spl0_336 ),
inference(avatar_split_clause,[],[f18545,f18082,f8684,f6376,f3490]) ).
thf(f18547,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_71
| ~ spl0_318 ),
inference(constrained_superposition,[],[f14263,f17638]) ).
thf(f18554,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_318 ),
inference(constrained_superposition,[],[f11402,f17638]) ).
thf(f18555,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_318 ),
inference(constrained_superposition,[],[f4998,f17638]) ).
thf(f18556,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_318 ),
inference(constrained_superposition,[],[f26,f17638]) ).
thf(f18557,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_318 ),
inference(duplicate_literal_removal,[],[f18554]) ).
thf(f18558,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f18557]) ).
thf(f18559,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f18555]) ).
thf(f18560,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_71
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f18547]) ).
thf(f18565,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f18556]) ).
thf(f18568,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_318
| spl0_336 ),
inference(forward_subsumption_resolution,[],[f18558,f18083]) ).
thf(f18569,plain,
( spl0_192
| ~ spl0_1
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f18559,f17637,f67,f8789]) ).
thf(f18570,plain,
( spl0_295
| spl0_186
| ~ spl0_71
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f18560,f17637,f2262,f8733,f17414]) ).
thf(f18572,plain,
( spl0_188
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f18565,f17637,f8750]) ).
thf(f18574,definition,
( spl0_354
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_354])],[avatar_definition]) ).
thf(f18575,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_354 ),
inference(avatar_component_clause,[],[f18574]) ).
thf(f18578,plain,
( spl0_222
| ~ spl0_6
| ~ spl0_318
| spl0_336 ),
inference(avatar_split_clause,[],[f18568,f18082,f17637,f110,f11439]) ).
thf(f18637,definition,
( spl0_355
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_355])],[avatar_definition]) ).
thf(f18638,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_355 ),
inference(avatar_component_clause,[],[f18637]) ).
thf(f18654,definition,
( spl0_356
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_356])],[avatar_definition]) ).
thf(f18655,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_356 ),
inference(avatar_component_clause,[],[f18654]) ).
thf(f18659,definition,
( spl0_357
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_357])],[avatar_definition]) ).
thf(f18660,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_357 ),
inference(avatar_component_clause,[],[f18659]) ).
thf(f18663,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_203 ),
inference(constrained_superposition,[],[f10014,f18268]) ).
thf(f18669,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_6
| ~ spl0_185 ),
inference(constrained_superposition,[],[f11402,f18268]) ).
thf(f18673,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_114
| ~ spl0_185 ),
inference(constrained_superposition,[],[f3252,f18268]) ).
thf(f18678,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_185 ),
inference(constrained_superposition,[],[f26,f18268]) ).
thf(f18681,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_185
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f18663]) ).
thf(f18683,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_114
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f18673]) ).
thf(f18690,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f18678]) ).
thf(f18695,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f18669]) ).
thf(f18697,plain,
( spl0_295
| ~ spl0_185
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f18681,f10013,f8703,f17414]) ).
thf(f18698,plain,
( $false
| ~ spl0_114
| ~ spl0_118
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f18683,f3487]) ).
thf(f18699,plain,
( ~ spl0_114
| ~ spl0_118
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f18698]) ).
thf(f18702,plain,
( spl0_324
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f18690,f8703,f17996]) ).
thf(f18705,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_6
| ~ spl0_185
| spl0_336 ),
inference(forward_subsumption_resolution,[],[f18695,f18083]) ).
thf(f18707,plain,
( spl0_29
| ~ spl0_6
| ~ spl0_185
| spl0_336 ),
inference(avatar_split_clause,[],[f18705,f18082,f8703,f110,f324]) ).
thf(f18720,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_124
| ~ spl0_295 ),
inference(constrained_superposition,[],[f3693,f17415]) ).
thf(f18728,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_124
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f18720]) ).
thf(f18740,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_124
| ~ spl0_183
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f18728,f8685]) ).
thf(f18742,plain,
( ~ spl0_301
| ~ spl0_124
| ~ spl0_183
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f18740,f17414,f8684,f3692,f17569]) ).
thf(f18775,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_4
| ~ spl0_60 ),
inference(constrained_superposition,[],[f87,f4625]) ).
thf(f18783,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_4
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f18775]) ).
thf(f18787,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f5180,f179]) ).
thf(f18789,definition,
( spl0_359
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_359])],[avatar_definition]) ).
thf(f18790,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ~ spl0_359 ),
inference(avatar_component_clause,[],[f18789]) ).
thf(f18792,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_13
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f14255,f179]) ).
thf(f18797,plain,
( spl0_112
| spl0_129
| ~ spl0_1
| ~ spl0_13
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f18787,f2432,f178,f67,f3938,f3065]) ).
thf(f18798,plain,
( spl0_112
| spl0_39
| ~ spl0_13
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f18792,f2262,f178,f558,f3065]) ).
thf(f18801,definition,
( spl0_360
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_360])],[avatar_definition]) ).
thf(f18802,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_360 ),
inference(avatar_component_clause,[],[f18801]) ).
thf(f18820,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f26,f2494]) ).
thf(f18821,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X2 @ z )
!= $true ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f18820]) ).
thf(f18836,plain,
( spl0_244
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f18821,f2493,f14649]) ).
thf(f18881,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_60
| ~ spl0_290 ),
inference(constrained_superposition,[],[f18783,f17340]) ).
thf(f18896,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_4
| ~ spl0_60
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f18881]) ).
thf(f18899,plain,
( ~ spl0_316
| ~ spl0_4
| ~ spl0_60
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f18896,f17339,f1989,f86,f17630]) ).
thf(f18930,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f4027,f1944]) ).
thf(f18939,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f18930]) ).
thf(f18970,definition,
( spl0_363
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_363])],[avatar_definition]) ).
thf(f18971,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_363 ),
inference(avatar_component_clause,[],[f18970]) ).
thf(f18974,definition,
( spl0_364
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_364])],[avatar_definition]) ).
thf(f18975,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_364 ),
inference(avatar_component_clause,[],[f18974]) ).
thf(f18977,definition,
( spl0_365
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_365])],[avatar_definition]) ).
thf(f18978,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_365 ),
inference(avatar_component_clause,[],[f18977]) ).
thf(f18982,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_364 ),
inference(constrained_superposition,[],[f18975,f36]) ).
thf(f18985,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_364 ),
inference(trivial_inequality_removal,[],[f18982]) ).
thf(f18987,plain,
( spl0_311
| spl0_364 ),
inference(avatar_split_clause,[],[f18985,f18974,f17607]) ).
thf(f18992,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_333 ),
inference(avatar_component_clause,[],[f18068]) ).
thf(f19050,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f1944,f18638]) ).
thf(f19145,definition,
( spl0_366
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
thf(f19146,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f19145]) ).
thf(f19180,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f19050,f30]) ).
thf(f19221,plain,
( $false
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f19180,f32]) ).
thf(f19222,plain,
~ spl0_355,
inference(avatar_contradiction_clause,[],[f19221]) ).
thf(f19234,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_333 ),
inference(constrained_superposition,[],[f11402,f18992]) ).
thf(f19235,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_333 ),
inference(constrained_superposition,[],[f4998,f18992]) ).
thf(f19238,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f19235]) ).
thf(f19239,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_333 ),
inference(duplicate_literal_removal,[],[f19234]) ).
thf(f19240,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f19239]) ).
thf(f19248,plain,
( spl0_357
| ~ spl0_1
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f19238,f18068,f67,f18659]) ).
thf(f19249,plain,
( spl0_311
| spl0_222
| ~ spl0_6
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f19240,f18068,f110,f11439,f17607]) ).
thf(f19251,definition,
( spl0_367
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_367])],[avatar_definition]) ).
thf(f19252,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_367 ),
inference(avatar_component_clause,[],[f19251]) ).
thf(f19274,definition,
( spl0_368
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_368])],[avatar_definition]) ).
thf(f19275,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f19274]) ).
thf(f19283,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_48
| spl0_333 ),
inference(constrained_superposition,[],[f18069,f779]) ).
thf(f19286,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_48
| spl0_333 ),
inference(trivial_inequality_removal,[],[f19283]) ).
thf(f19288,plain,
( spl0_305
| ~ spl0_48
| spl0_333 ),
inference(avatar_split_clause,[],[f19286,f18068,f778,f17585]) ).
thf(f19309,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_302 ),
inference(constrained_superposition,[],[f151,f17573]) ).
thf(f19471,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f19309,f30]) ).
thf(f19498,plain,
( $false
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f19471,f32]) ).
thf(f19499,plain,
~ spl0_302,
inference(avatar_contradiction_clause,[],[f19498]) ).
thf(f19520,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_333 ),
inference(constrained_superposition,[],[f18069,f37]) ).
thf(f19522,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(trivial_inequality_removal,[],[f19520]) ).
thf(f19523,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(forward_subsumption_resolution,[],[f19522,f31]) ).
thf(f19549,definition,
( spl0_370
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_370])],[avatar_definition]) ).
thf(f19550,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_370 ),
inference(avatar_component_clause,[],[f19549]) ).
thf(f19582,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_128 ),
inference(constrained_superposition,[],[f3936,f2494]) ).
thf(f19590,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_84
| ~ spl0_128 ),
inference(trivial_inequality_removal,[],[f19582]) ).
thf(f19591,plain,
( $false
| ~ spl0_11
| ~ spl0_84
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f19590,f172]) ).
thf(f19592,plain,
( ~ spl0_11
| ~ spl0_84
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f19591]) ).
thf(f19593,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f215,f36]) ).
thf(f19595,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_16
| ~ spl0_121 ),
inference(constrained_superposition,[],[f215,f3500]) ).
thf(f19601,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_16
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f19595]) ).
thf(f19602,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f19593]) ).
thf(f19603,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f19602]) ).
thf(f19604,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_70
| ~ spl0_291 ),
inference(constrained_superposition,[],[f3932,f17344]) ).
thf(f19623,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_70
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f19604]) ).
thf(f19625,definition,
( spl0_371
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_371])],[avatar_definition]) ).
thf(f19626,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_371 ),
inference(avatar_component_clause,[],[f19625]) ).
thf(f19629,definition,
( spl0_372
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_372])],[avatar_definition]) ).
thf(f19630,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_372 ),
inference(avatar_component_clause,[],[f19629]) ).
thf(f19633,definition,
( spl0_373
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_373])],[avatar_definition]) ).
thf(f19634,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_373 ),
inference(avatar_component_clause,[],[f19633]) ).
thf(f19638,definition,
( spl0_374
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_374])],[avatar_definition]) ).
thf(f19639,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_374 ),
inference(avatar_component_clause,[],[f19638]) ).
thf(f19642,plain,
( ~ spl0_372
| spl0_295
| spl0_189
| ~ spl0_70
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f19623,f17343,f2258,f8766,f17414,f19629]) ).
thf(f19644,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_372 ),
inference(constrained_superposition,[],[f19630,f1944]) ).
thf(f19648,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_372 ),
inference(trivial_inequality_removal,[],[f19644]) ).
thf(f19651,plain,
( spl0_342
| spl0_372 ),
inference(avatar_split_clause,[],[f19648,f19629,f18230]) ).
thf(f19653,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_203
| ~ spl0_307 ),
inference(constrained_superposition,[],[f10014,f17593]) ).
thf(f19659,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_307 ),
inference(constrained_superposition,[],[f11402,f17593]) ).
thf(f19663,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_114
| ~ spl0_307 ),
inference(constrained_superposition,[],[f3252,f17593]) ).
thf(f19668,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_307 ),
inference(constrained_superposition,[],[f26,f17593]) ).
thf(f19669,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f19668]) ).
thf(f19670,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_203
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f19653]) ).
thf(f19675,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_114
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f19663]) ).
thf(f19679,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_6
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f19659]) ).
thf(f19686,plain,
( spl0_330
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f19669,f17592,f18046]) ).
thf(f19687,plain,
( spl0_342
| ~ spl0_203
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f19670,f17592,f10013,f18230]) ).
thf(f19691,plain,
( $false
| ~ spl0_114
| ~ spl0_305
| ~ spl0_307 ),
inference(forward_subsumption_resolution,[],[f19675,f17586]) ).
thf(f19692,plain,
( ~ spl0_114
| ~ spl0_305
| ~ spl0_307 ),
inference(avatar_contradiction_clause,[],[f19691]) ).
thf(f19693,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_307
| spl0_311 ),
inference(forward_subsumption_resolution,[],[f19679,f17981]) ).
thf(f19698,plain,
( spl0_29
| ~ spl0_6
| ~ spl0_307
| spl0_311 ),
inference(avatar_split_clause,[],[f19693,f17607,f17592,f110,f324]) ).
thf(f19753,definition,
( spl0_375
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_375])],[avatar_definition]) ).
thf(f19754,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_375 ),
inference(avatar_component_clause,[],[f19753]) ).
thf(f19757,definition,
( spl0_376
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_376])],[avatar_definition]) ).
thf(f19758,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_376 ),
inference(avatar_component_clause,[],[f19757]) ).
thf(f19762,definition,
( spl0_377
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_377])],[avatar_definition]) ).
thf(f19763,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_377 ),
inference(avatar_component_clause,[],[f19762]) ).
thf(f19796,definition,
( spl0_379
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_379])],[avatar_definition]) ).
thf(f19797,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_379 ),
inference(avatar_component_clause,[],[f19796]) ).
thf(f19803,definition,
( spl0_380
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_380])],[avatar_definition]) ).
thf(f19804,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_380 ),
inference(avatar_component_clause,[],[f19803]) ).
thf(f19821,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_18
| ~ spl0_112 ),
inference(constrained_superposition,[],[f222,f3066]) ).
thf(f19823,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_18
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f19821]) ).
thf(f19829,plain,
( spl0_204
| ~ spl0_18
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f19823,f3065,f221,f10196]) ).
thf(f19880,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_90
| ~ spl0_113 ),
inference(constrained_superposition,[],[f3156,f2639]) ).
thf(f19889,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_90
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f19880]) ).
thf(f19893,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_70
| ~ spl0_90
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f19889,f3896]) ).
thf(f19895,plain,
( $false
| ~ spl0_70
| ~ spl0_80
| ~ spl0_90
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f19893,f2433]) ).
thf(f19896,plain,
( ~ spl0_70
| ~ spl0_80
| ~ spl0_90
| ~ spl0_113 ),
inference(avatar_contradiction_clause,[],[f19895]) ).
thf(f19901,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_108
| ~ spl0_290 ),
inference(constrained_superposition,[],[f2974,f17340]) ).
thf(f19910,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_108
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f19901]) ).
thf(f19923,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_108
| ~ spl0_290
| ~ spl0_294 ),
inference(constrained_superposition,[],[f19910,f17354]) ).
thf(f19927,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_108
| ~ spl0_290
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f19923]) ).
thf(f19933,plain,
( ~ spl0_308
| ~ spl0_108
| ~ spl0_290
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f19927,f17353,f17339,f2973,f17596]) ).
thf(f19935,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_375 ),
inference(constrained_superposition,[],[f19754,f56]) ).
thf(f19938,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_375 ),
inference(trivial_inequality_removal,[],[f19935]) ).
thf(f19941,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_24
| spl0_375 ),
inference(forward_subsumption_resolution,[],[f19938,f17167]) ).
thf(f19943,plain,
( spl0_295
| spl0_24
| spl0_375 ),
inference(avatar_split_clause,[],[f19941,f19753,f260,f17414]) ).
thf(f19968,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_16
| ~ spl0_367 ),
inference(constrained_superposition,[],[f215,f19252]) ).
thf(f19986,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_16
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f19968]) ).
thf(f19998,plain,
( spl0_315
| ~ spl0_16
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f19986,f19251,f214,f17627]) ).
thf(f20120,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_57
| ~ spl0_90 ),
inference(constrained_superposition,[],[f970,f2639]) ).
thf(f20131,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_57
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f20120]) ).
thf(f20133,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_57
| ~ spl0_90 ),
inference(constrained_superposition,[],[f20131,f1944]) ).
thf(f20143,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_57
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f20133]) ).
thf(f20146,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_310 ),
inference(constrained_superposition,[],[f17605,f36]) ).
thf(f20151,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_310 ),
inference(constrained_superposition,[],[f17605,f150]) ).
thf(f20160,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f20151]) ).
thf(f20164,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f20146]) ).
thf(f20172,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_185
| ~ spl0_310 ),
inference(forward_subsumption_resolution,[],[f20160,f8704]) ).
thf(f20175,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_310
| spl0_336 ),
inference(forward_subsumption_resolution,[],[f20164,f18083]) ).
thf(f20180,plain,
( spl0_109
| spl0_185
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f20172,f17604,f8703,f3030]) ).
thf(f20183,plain,
( spl0_102
| ~ spl0_310
| spl0_336 ),
inference(avatar_split_clause,[],[f20175,f18082,f17604,f2911]) ).
thf(f20201,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_301 ),
inference(constrained_superposition,[],[f17570,f36]) ).
thf(f20203,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_301 ),
inference(trivial_inequality_removal,[],[f20201]) ).
thf(f20210,plain,
( spl0_336
| spl0_301 ),
inference(avatar_split_clause,[],[f20203,f17569,f18082]) ).
thf(f20214,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_240
| ~ spl0_336 ),
inference(constrained_superposition,[],[f14210,f18266]) ).
thf(f20215,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_70
| ~ spl0_336 ),
inference(constrained_superposition,[],[f3932,f18266]) ).
thf(f20217,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_90
| ~ spl0_336 ),
inference(constrained_superposition,[],[f5344,f18266]) ).
thf(f20222,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_240
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f20214]) ).
thf(f20223,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_70
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f20215]) ).
thf(f20226,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_90
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f20217]) ).
thf(f20229,plain,
( spl0_337
| spl0_295
| ~ spl0_240
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f20222,f18082,f14086,f17414,f18085]) ).
thf(f20230,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_70
| ~ spl0_84
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f20223,f2494]) ).
thf(f20231,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_84
| ~ spl0_90
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f20226,f2494]) ).
thf(f20232,plain,
( spl0_189
| spl0_295
| ~ spl0_70
| ~ spl0_84
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f20230,f18082,f2493,f2258,f17414,f8766]) ).
thf(f20233,plain,
( spl0_295
| spl0_335
| ~ spl0_84
| ~ spl0_90
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f20231,f18082,f2638,f2493,f18077,f17414]) ).
thf(f20268,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_329 ),
inference(constrained_superposition,[],[f18025,f1944]) ).
thf(f20272,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f20268]) ).
thf(f20277,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f20272,f2494]) ).
thf(f20278,plain,
( spl0_342
| ~ spl0_84
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f20277,f18024,f2493,f18230]) ).
thf(f20433,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_333
| ~ spl0_380 ),
inference(constrained_superposition,[],[f19804,f19523]) ).
thf(f20437,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_342
| ~ spl0_380 ),
inference(constrained_superposition,[],[f19804,f18231]) ).
thf(f20447,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_342
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f20437]) ).
thf(f20452,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_333
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f20433]) ).
thf(f20459,plain,
( spl0_98
| ~ spl0_342
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f20447,f19803,f18230,f2897]) ).
thf(f20463,plain,
( spl0_101
| spl0_333
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f20452,f19803,f18068,f2907]) ).
thf(f20501,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_56
| ~ spl0_60 ),
inference(constrained_superposition,[],[f944,f4625]) ).
thf(f20508,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_56
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f20501]) ).
thf(f20509,plain,
( ~ spl0_107
| ~ spl0_56
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f20508,f1989,f943,f2970]) ).
thf(f20511,definition,
( spl0_381
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_381])],[avatar_definition]) ).
thf(f20512,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f20511]) ).
thf(f20627,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_306 ),
inference(constrained_superposition,[],[f17590,f54]) ).
thf(f20628,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_143
| ~ spl0_306 ),
inference(constrained_superposition,[],[f17590,f4633]) ).
thf(f20630,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_306 ),
inference(constrained_superposition,[],[f17590,f150]) ).
thf(f20633,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_114
| ~ spl0_306 ),
inference(constrained_superposition,[],[f17590,f7334]) ).
thf(f20640,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_143
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f20628]) ).
thf(f20642,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f20627]) ).
thf(f20643,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_114
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f20633]) ).
thf(f20645,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f20630]) ).
thf(f20651,plain,
( spl0_153
| ~ spl0_143
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f20640,f17589,f4632,f5374]) ).
thf(f20653,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_306
| spl0_318 ),
inference(forward_subsumption_resolution,[],[f20642,f17974]) ).
thf(f20654,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_114
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f20643,f31]) ).
thf(f20655,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_185
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f20645,f8704]) ).
thf(f20660,plain,
( spl0_154
| ~ spl0_306
| spl0_318 ),
inference(avatar_split_clause,[],[f20653,f17637,f17589,f5378]) ).
thf(f20661,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_68
| ~ spl0_114
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f20654,f2204]) ).
thf(f20662,plain,
( spl0_153
| spl0_185
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f20655,f17589,f8703,f5374]) ).
thf(f20666,plain,
( spl0_153
| spl0_68
| ~ spl0_114
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f20661,f17589,f3251,f2203,f5374]) ).
thf(f20708,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_90
| ~ spl0_291 ),
inference(constrained_superposition,[],[f5344,f17344]) ).
thf(f20710,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_291 ),
inference(constrained_superposition,[],[f11402,f17344]) ).
thf(f20712,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_48
| ~ spl0_291 ),
inference(constrained_superposition,[],[f6048,f17344]) ).
thf(f20716,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_90
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f20708]) ).
thf(f20718,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f20710]) ).
thf(f20723,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_48
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f20712]) ).
thf(f20726,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_291
| spl0_336 ),
inference(forward_subsumption_resolution,[],[f20718,f18083]) ).
thf(f20738,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_136
| ~ spl0_367 ),
inference(constrained_superposition,[],[f4410,f19252]) ).
thf(f20742,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_154
| ~ spl0_367 ),
inference(constrained_superposition,[],[f5379,f19252]) ).
thf(f20759,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_154
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f20742]) ).
thf(f20764,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_136
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f20738]) ).
thf(f20774,plain,
( ~ spl0_365
| ~ spl0_154
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f20759,f19251,f5378,f18977]) ).
thf(f20776,plain,
( ~ spl0_308
| ~ spl0_136
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f20764,f19251,f4409,f17596]) ).
thf(f20874,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_376 ),
inference(constrained_superposition,[],[f19758,f151]) ).
thf(f20877,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_118
| ~ spl0_376 ),
inference(constrained_superposition,[],[f19758,f3487]) ).
thf(f20887,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f20874]) ).
thf(f20889,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_118
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f20877]) ).
thf(f20893,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_11
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f20887,f172]) ).
thf(f20894,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_1
| ~ spl0_118
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f20889,f68]) ).
thf(f20898,plain,
( spl0_354
| spl0_144
| ~ spl0_11
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f20893,f19757,f171,f4636,f18574]) ).
thf(f20899,plain,
( spl0_9
| ~ spl0_1
| ~ spl0_118
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f20894,f19757,f3486,f67,f142]) ).
thf(f20902,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_132
| ~ spl0_142 ),
inference(constrained_superposition,[],[f18939,f17425]) ).
thf(f20903,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_132
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f20902]) ).
thf(f20904,plain,
( spl0_295
| ~ spl0_132
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f20903,f4629,f4026,f17414]) ).
thf(f20906,definition,
( spl0_382
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_382])],[avatar_definition]) ).
thf(f20907,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_382 ),
inference(avatar_component_clause,[],[f20906]) ).
thf(f20910,definition,
( spl0_383
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_383])],[avatar_definition]) ).
thf(f20911,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_383 ),
inference(avatar_component_clause,[],[f20910]) ).
thf(f20959,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_300 ),
inference(constrained_superposition,[],[f17565,f35]) ).
thf(f20965,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f20959]) ).
thf(f20968,plain,
( spl0_320
| ~ spl0_17
| ~ spl0_3
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f20965,f17564,f83,f217,f17647]) ).
thf(f20980,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_374 ),
inference(constrained_superposition,[],[f19639,f151]) ).
thf(f20983,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_305
| ~ spl0_374 ),
inference(constrained_superposition,[],[f19639,f17586]) ).
thf(f20989,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_374 ),
inference(trivial_inequality_removal,[],[f20980]) ).
thf(f20990,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_305
| ~ spl0_374 ),
inference(trivial_inequality_removal,[],[f20983]) ).
thf(f20994,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_11
| ~ spl0_374 ),
inference(forward_subsumption_resolution,[],[f20989,f172]) ).
thf(f20995,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1
| ~ spl0_305
| ~ spl0_374 ),
inference(forward_subsumption_resolution,[],[f20990,f68]) ).
thf(f20996,plain,
( spl0_367
| spl0_144
| ~ spl0_11
| ~ spl0_374 ),
inference(avatar_split_clause,[],[f20994,f19638,f171,f4636,f19251]) ).
thf(f20997,plain,
( spl0_9
| ~ spl0_1
| ~ spl0_305
| ~ spl0_374 ),
inference(avatar_split_clause,[],[f20995,f19638,f17585,f67,f142]) ).
thf(f21044,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_289
| ~ spl0_348 ),
inference(constrained_superposition,[],[f18370,f17337]) ).
thf(f21054,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_289
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f21044]) ).
thf(f21062,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_70
| ~ spl0_289
| ~ spl0_348 ),
inference(forward_subsumption_resolution,[],[f21054,f3896]) ).
thf(f21068,plain,
( spl0_245
| ~ spl0_70
| ~ spl0_289
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f21062,f18369,f17336,f2258,f14695]) ).
thf(f21135,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_80
| ~ spl0_244 ),
inference(constrained_superposition,[],[f14650,f2433]) ).
thf(f21138,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_244
| ~ spl0_289 ),
inference(constrained_superposition,[],[f14650,f17337]) ).
thf(f21139,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_90
| ~ spl0_244 ),
inference(constrained_superposition,[],[f14650,f2639]) ).
thf(f21141,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_70
| ~ spl0_244 ),
inference(constrained_superposition,[],[f14650,f3896]) ).
thf(f21144,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_70
| ~ spl0_244 ),
inference(duplicate_literal_removal,[],[f21141]) ).
thf(f21145,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_70
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f21144]) ).
thf(f21146,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_90
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f21139]) ).
thf(f21147,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_80
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f21135]) ).
thf(f21149,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_244
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f21138]) ).
thf(f21152,plain,
( spl0_237
| ~ spl0_70
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f21145,f14649,f2258,f14073]) ).
thf(f21153,plain,
( spl0_47
| ~ spl0_90
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f21146,f14649,f2638,f691]) ).
thf(f21154,plain,
( spl0_63
| ~ spl0_80
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f21147,f14649,f2432,f2106]) ).
thf(f21155,plain,
( spl0_376
| ~ spl0_244
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f21149,f17336,f14649,f19757]) ).
thf(f21182,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_129 ),
inference(constrained_superposition,[],[f3939,f151]) ).
thf(f21186,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_129 ),
inference(trivial_inequality_removal,[],[f21182]) ).
thf(f21290,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_121
| ~ spl0_143 ),
inference(constrained_superposition,[],[f19601,f4633]) ).
thf(f21292,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_121
| ~ spl0_342 ),
inference(constrained_superposition,[],[f19601,f18231]) ).
thf(f21302,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_121
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f21290]) ).
thf(f21307,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_121
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f21292]) ).
thf(f21343,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_291
| spl0_336 ),
inference(constrained_superposition,[],[f20726,f151]) ).
thf(f21352,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_291
| spl0_336 ),
inference(trivial_inequality_removal,[],[f21343]) ).
thf(f21357,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_6
| ~ spl0_13
| ~ spl0_291
| spl0_336 ),
inference(forward_subsumption_resolution,[],[f21352,f179]) ).
thf(f21358,plain,
( spl0_367
| spl0_39
| ~ spl0_6
| ~ spl0_13
| ~ spl0_291
| spl0_336 ),
inference(avatar_split_clause,[],[f21357,f18082,f17343,f178,f110,f558,f19251]) ).
thf(f21360,definition,
( spl0_384
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_384])],[avatar_definition]) ).
thf(f21361,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_384 ),
inference(avatar_component_clause,[],[f21360]) ).
thf(f21412,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_351 ),
inference(constrained_superposition,[],[f18416,f151]) ).
thf(f21414,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_289
| ~ spl0_351 ),
inference(constrained_superposition,[],[f18416,f17337]) ).
thf(f21424,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_289
| ~ spl0_351 ),
inference(duplicate_literal_removal,[],[f21414]) ).
thf(f21425,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_289
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f21424]) ).
thf(f21427,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f21412]) ).
thf(f21429,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_80
| ~ spl0_289
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f21425,f2433]) ).
thf(f21430,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_13
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f21427,f179]) ).
thf(f21431,plain,
( spl0_245
| spl0_354
| ~ spl0_13
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f21430,f18415,f178,f18574,f14695]) ).
thf(f21436,plain,
( ( $true != $true )
| ~ spl0_80
| ~ spl0_289
| ~ spl0_351 ),
inference(constrained_superposition,[],[f21429,f17337]) ).
thf(f21437,plain,
( ( $true != $true )
| ~ spl0_80
| ~ spl0_90
| ~ spl0_289
| ~ spl0_351 ),
inference(constrained_superposition,[],[f21429,f2639]) ).
thf(f21447,plain,
( $false
| ~ spl0_80
| ~ spl0_289
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f21436]) ).
thf(f21448,plain,
( ~ spl0_80
| ~ spl0_289
| ~ spl0_351 ),
inference(avatar_contradiction_clause,[],[f21447]) ).
thf(f21449,plain,
( $false
| ~ spl0_80
| ~ spl0_90
| ~ spl0_289
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f21437]) ).
thf(f21450,plain,
( ~ spl0_80
| ~ spl0_90
| ~ spl0_289
| ~ spl0_351 ),
inference(avatar_contradiction_clause,[],[f21449]) ).
thf(f21461,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_204
| ~ spl0_290 ),
inference(constrained_superposition,[],[f10197,f17340]) ).
thf(f21479,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_204
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f21461]) ).
thf(f21511,definition,
( spl0_385
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_385])],[avatar_definition]) ).
thf(f21512,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_385 ),
inference(avatar_component_clause,[],[f21511]) ).
thf(f21518,plain,
( ~ spl0_17
| spl0_118
| ~ spl0_16
| ~ spl0_121
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f21302,f4632,f3499,f214,f3486,f217]) ).
thf(f21523,definition,
( spl0_386
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_386])],[avatar_definition]) ).
thf(f21524,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_386 ),
inference(avatar_component_clause,[],[f21523]) ).
thf(f21532,plain,
( ~ spl0_68
| ~ spl0_204
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f21479,f17339,f10196,f2203]) ).
thf(f21535,plain,
( spl0_203
| ~ spl0_57
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f20143,f2638,f969,f10013]) ).
thf(f21539,plain,
( ( $true != $true )
| ~ spl0_13
| ~ spl0_359 ),
inference(constrained_superposition,[],[f18790,f179]) ).
thf(f21542,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_359 ),
inference(constrained_superposition,[],[f18790,f151]) ).
thf(f21543,plain,
( ( $true != $true )
| ~ spl0_11
| ~ spl0_359 ),
inference(constrained_superposition,[],[f18790,f172]) ).
thf(f21545,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_359 ),
inference(trivial_inequality_removal,[],[f21542]) ).
thf(f21546,plain,
( $false
| ~ spl0_13
| ~ spl0_359 ),
inference(trivial_inequality_removal,[],[f21539]) ).
thf(f21547,plain,
( ~ spl0_13
| ~ spl0_359 ),
inference(avatar_contradiction_clause,[],[f21546]) ).
thf(f21550,plain,
( $false
| ~ spl0_11
| ~ spl0_359 ),
inference(trivial_inequality_removal,[],[f21543]) ).
thf(f21551,plain,
( ~ spl0_11
| ~ spl0_359 ),
inference(avatar_contradiction_clause,[],[f21550]) ).
thf(f21552,plain,
( spl0_38
| ~ spl0_359 ),
inference(avatar_split_clause,[],[f21545,f18789,f555]) ).
thf(f21555,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_129
| ~ spl0_142 ),
inference(constrained_superposition,[],[f21186,f17425]) ).
thf(f21558,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_142
| ~ spl0_299 ),
inference(constrained_superposition,[],[f17438,f17425]) ).
thf(f21564,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_129
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f21555]) ).
thf(f21566,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_142
| ~ spl0_299 ),
inference(duplicate_literal_removal,[],[f21558]) ).
thf(f21567,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_142
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f21566]) ).
thf(f21574,plain,
( spl0_354
| ~ spl0_129
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f21564,f4629,f3938,f18574]) ).
thf(f21692,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_341 ),
inference(constrained_superposition,[],[f18189,f18268]) ).
thf(f21693,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_70
| ~ spl0_185 ),
inference(constrained_superposition,[],[f3932,f18268]) ).
thf(f21712,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_185
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f21692]) ).
thf(f21714,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_70
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f21693]) ).
thf(f21725,plain,
( ~ spl0_156
| ~ spl0_185
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f21712,f18188,f8703,f5524]) ).
thf(f21727,plain,
( spl0_189
| ~ spl0_156
| spl0_295
| ~ spl0_70
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f21714,f8703,f2258,f17414,f5524,f8766]) ).
thf(f21747,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_16
| ~ spl0_354 ),
inference(constrained_superposition,[],[f215,f18575]) ).
thf(f21772,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_16
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f21747]) ).
thf(f21782,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_74 ),
inference(constrained_superposition,[],[f2368,f151]) ).
thf(f21783,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_11
| ~ spl0_74 ),
inference(constrained_superposition,[],[f2368,f172]) ).
thf(f21789,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_11
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f21783]) ).
thf(f21790,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f21782]) ).
thf(f21793,plain,
( $false
| ~ spl0_1
| ~ spl0_11
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f21789,f68]) ).
thf(f21794,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f21793]) ).
thf(f21795,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_74
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f21790,f3500]) ).
thf(f21798,plain,
( spl0_38
| ~ spl0_74
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f21795,f3499,f2367,f555]) ).
thf(f21821,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_121
| ~ spl0_170 ),
inference(constrained_superposition,[],[f7031,f3500]) ).
thf(f21822,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_112
| ~ spl0_170 ),
inference(constrained_superposition,[],[f7031,f3066]) ).
thf(f21823,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_170
| ~ spl0_354 ),
inference(constrained_superposition,[],[f7031,f18575]) ).
thf(f21825,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_112
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f21822]) ).
thf(f21826,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_121
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f21821]) ).
thf(f21828,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_170
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f21823]) ).
thf(f21831,plain,
( $false
| ~ spl0_60
| ~ spl0_112
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[],[f21825,f4625]) ).
thf(f21832,plain,
( ~ spl0_60
| ~ spl0_112
| ~ spl0_170 ),
inference(avatar_contradiction_clause,[],[f21831]) ).
thf(f21833,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_121
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[],[f21826,f55]) ).
thf(f21834,plain,
( $false
| ~ spl0_68
| ~ spl0_170
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f21828,f18271]) ).
thf(f21835,plain,
( ~ spl0_68
| ~ spl0_170
| ~ spl0_354 ),
inference(avatar_contradiction_clause,[],[f21834]) ).
thf(f21836,plain,
( spl0_36
| ~ spl0_121
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f21833,f7030,f3499,f499]) ).
thf(f21841,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f8767,f1944]) ).
thf(f21842,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_189
| ~ spl0_291 ),
inference(constrained_superposition,[],[f8767,f17344]) ).
thf(f21846,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_189
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f21842]) ).
thf(f21849,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f21841]) ).
thf(f21857,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_16
| ~ spl0_354 ),
inference(constrained_superposition,[],[f21772,f150]) ).
thf(f21862,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_16
| ~ spl0_114
| ~ spl0_354 ),
inference(constrained_superposition,[],[f21772,f6146]) ).
thf(f21869,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_16
| ~ spl0_114
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f21862]) ).
thf(f21871,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_16
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f21857]) ).
thf(f21878,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_187
| ~ spl0_291 ),
inference(constrained_superposition,[],[f8737,f17344]) ).
thf(f21880,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_187
| ~ spl0_336 ),
inference(constrained_superposition,[],[f8737,f18266]) ).
thf(f21882,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_187
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f21880]) ).
thf(f21885,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_187
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f21878]) ).
thf(f21891,plain,
( $false
| ~ spl0_1
| ~ spl0_187
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f21882,f68]) ).
thf(f21892,plain,
( ~ spl0_1
| ~ spl0_187
| ~ spl0_336 ),
inference(avatar_contradiction_clause,[],[f21891]) ).
thf(f21893,plain,
( $false
| ~ spl0_187
| ~ spl0_291
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f21885,f17586]) ).
thf(f21894,plain,
( ~ spl0_187
| ~ spl0_291
| ~ spl0_305 ),
inference(avatar_contradiction_clause,[],[f21893]) ).
thf(f21896,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_80
| ~ spl0_245 ),
inference(constrained_superposition,[],[f14696,f2433]) ).
thf(f21900,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_70
| ~ spl0_245 ),
inference(constrained_superposition,[],[f14696,f3896]) ).
thf(f21904,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_70
| ~ spl0_245 ),
inference(trivial_inequality_removal,[],[f21900]) ).
thf(f21908,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_80
| ~ spl0_245 ),
inference(trivial_inequality_removal,[],[f21896]) ).
thf(f21909,plain,
( $false
| ~ spl0_11
| ~ spl0_70
| ~ spl0_245 ),
inference(forward_subsumption_resolution,[],[f21904,f172]) ).
thf(f21910,plain,
( ~ spl0_11
| ~ spl0_70
| ~ spl0_245 ),
inference(avatar_contradiction_clause,[],[f21909]) ).
thf(f21913,plain,
( $false
| ~ spl0_13
| ~ spl0_80
| ~ spl0_245 ),
inference(forward_subsumption_resolution,[],[f21908,f179]) ).
thf(f21914,plain,
( ~ spl0_13
| ~ spl0_80
| ~ spl0_245 ),
inference(avatar_contradiction_clause,[],[f21913]) ).
thf(f21919,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_121
| ~ spl0_294 ),
inference(constrained_superposition,[],[f12646,f17354]) ).
thf(f21938,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_121
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f21919]) ).
thf(f21951,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f17993,f1944]) ).
thf(f21962,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f21951]) ).
thf(f21965,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_90
| ~ spl0_323 ),
inference(forward_subsumption_resolution,[],[f21962,f2639]) ).
thf(f21966,plain,
( spl0_295
| ~ spl0_90
| ~ spl0_323 ),
inference(avatar_split_clause,[],[f21965,f17992,f2638,f17414]) ).
thf(f21968,definition,
( spl0_388
<=> ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_388])],[avatar_definition]) ).
thf(f21969,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_388 ),
inference(avatar_component_clause,[],[f21968]) ).
thf(f21970,plain,
( spl0_305
| ~ spl0_388
| ~ spl0_16
| ~ spl0_121
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f21307,f18230,f3499,f214,f21968,f17585]) ).
thf(f21974,definition,
( spl0_389
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_389])],[avatar_definition]) ).
thf(f21975,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_389 ),
inference(avatar_component_clause,[],[f21974]) ).
thf(f21976,plain,
( spl0_389
| spl0_305
| ~ spl0_48
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f20723,f17343,f778,f17585,f21974]) ).
thf(f21978,definition,
( spl0_390
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_390])],[avatar_definition]) ).
thf(f21979,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_390 ),
inference(avatar_component_clause,[],[f21978]) ).
thf(f21988,definition,
( spl0_392
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_392])],[avatar_definition]) ).
thf(f21989,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_392 ),
inference(avatar_component_clause,[],[f21988]) ).
thf(f21990,plain,
( spl0_305
| spl0_392
| ~ spl0_121
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f21938,f17353,f3499,f21988,f17585]) ).
thf(f21992,definition,
( spl0_393
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_393])],[avatar_definition]) ).
thf(f21993,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_393 ),
inference(avatar_component_clause,[],[f21992]) ).
thf(f21996,definition,
( spl0_394
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_394])],[avatar_definition]) ).
thf(f21997,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_394 ),
inference(avatar_component_clause,[],[f21996]) ).
thf(f22000,definition,
( spl0_395
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_395])],[avatar_definition]) ).
thf(f22001,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_395 ),
inference(avatar_component_clause,[],[f22000]) ).
thf(f22005,definition,
( spl0_396
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_396])],[avatar_definition]) ).
thf(f22006,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_396 ),
inference(avatar_component_clause,[],[f22005]) ).
thf(f22008,plain,
( spl0_335
| ~ spl0_372
| spl0_295
| ~ spl0_90
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f20716,f17343,f2638,f17414,f19629,f18077]) ).
thf(f22011,plain,
( $false
| ~ spl0_189
| ~ spl0_291
| ~ spl0_320 ),
inference(forward_subsumption_resolution,[],[f17648,f21846]) ).
thf(f22012,plain,
( ~ spl0_189
| ~ spl0_291
| ~ spl0_320 ),
inference(avatar_contradiction_clause,[],[f22011]) ).
thf(f22031,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_129
| ~ spl0_320 ),
inference(constrained_superposition,[],[f21186,f17648]) ).
thf(f22046,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_129
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f22031]) ).
thf(f22052,plain,
( spl0_367
| ~ spl0_129
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f22046,f17647,f3938,f19251]) ).
thf(f22079,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_11
| ~ spl0_307 ),
inference(constrained_superposition,[],[f5313,f17593]) ).
thf(f22086,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_11
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f22079]) ).
thf(f22098,plain,
( spl0_329
| spl0_328
| ~ spl0_11
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f22086,f17592,f171,f18021,f18024]) ).
thf(f22257,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_315 ),
inference(constrained_superposition,[],[f17628,f54]) ).
thf(f22265,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f22257]) ).
thf(f22290,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_16
| ~ spl0_292
| ~ spl0_354 ),
inference(constrained_superposition,[],[f21772,f17347]) ).
thf(f22299,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_292
| ~ spl0_370 ),
inference(constrained_superposition,[],[f19550,f17347]) ).
thf(f22317,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_16
| ~ spl0_292
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f22290]) ).
thf(f22319,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| ~ spl0_292
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f22299]) ).
thf(f22330,definition,
( spl0_397
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_397])],[avatar_definition]) ).
thf(f22331,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_397 ),
inference(avatar_component_clause,[],[f22330]) ).
thf(f22332,plain,
( ~ spl0_301
| spl0_397
| ~ spl0_292
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f22319,f19549,f17346,f22330,f17569]) ).
thf(f22334,definition,
( spl0_398
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_398])],[avatar_definition]) ).
thf(f22335,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_398 ),
inference(avatar_component_clause,[],[f22334]) ).
thf(f22361,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_318
| ~ spl0_335 ),
inference(constrained_superposition,[],[f18078,f17638]) ).
thf(f22367,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_318
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f22361]) ).
thf(f22374,plain,
( $false
| ~ spl0_13
| ~ spl0_318
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f22367,f179]) ).
thf(f22375,plain,
( ~ spl0_13
| ~ spl0_318
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f22374]) ).
thf(f22403,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_311
| ~ spl0_334 ),
inference(constrained_superposition,[],[f18074,f17608]) ).
thf(f22406,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_311
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f22403]) ).
thf(f22413,plain,
( $false
| ~ spl0_1
| ~ spl0_311
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f22406,f68]) ).
thf(f22414,plain,
( ~ spl0_1
| ~ spl0_311
| ~ spl0_334 ),
inference(avatar_contradiction_clause,[],[f22413]) ).
thf(f22450,plain,
( ~ spl0_3
| spl0_333
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f22265,f17627,f18068,f83]) ).
thf(f22451,plain,
( $false
| ~ spl0_30
| ~ spl0_70
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f352,f5077]) ).
thf(f22452,plain,
( ~ spl0_30
| ~ spl0_70
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f22451]) ).
thf(f22466,plain,
( spl0_11
| spl0_151
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f19603,f214,f5263,f171]) ).
thf(f22470,definition,
( spl0_401
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_401])],[avatar_definition]) ).
thf(f22471,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_401 ),
inference(avatar_component_clause,[],[f22470]) ).
thf(f22478,definition,
( spl0_403
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_403])],[avatar_definition]) ).
thf(f22479,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_403 ),
inference(avatar_component_clause,[],[f22478]) ).
thf(f22482,definition,
( spl0_404
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_404])],[avatar_definition]) ).
thf(f22483,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_404 ),
inference(avatar_component_clause,[],[f22482]) ).
thf(f22487,definition,
( spl0_405
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_405])],[avatar_definition]) ).
thf(f22488,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_405 ),
inference(avatar_component_clause,[],[f22487]) ).
thf(f22491,plain,
( spl0_95
| spl0_70
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f5151,f4947,f2258,f2785]) ).
thf(f22494,plain,
( ~ spl0_308
| ~ spl0_16
| ~ spl0_292
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f22317,f18574,f17346,f214,f17596]) ).
thf(f22504,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f17579]) ).
thf(f22522,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_30
| ~ spl0_114 ),
inference(constrained_superposition,[],[f3252,f352]) ).
thf(f22524,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f26,f352]) ).
thf(f22525,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_30
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22522]) ).
thf(f22531,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f22524]) ).
thf(f22532,plain,
( $false
| ~ spl0_1
| ~ spl0_30
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f22525,f68]) ).
thf(f22533,plain,
( ~ spl0_1
| ~ spl0_30
| ~ spl0_114 ),
inference(avatar_contradiction_clause,[],[f22532]) ).
thf(f22537,plain,
( spl0_242
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f22531,f351,f14606]) ).
thf(f22542,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_16
| ~ spl0_114
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f21869,f31]) ).
thf(f22544,plain,
( ~ spl0_17
| spl0_185
| ~ spl0_16
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f21871,f18574,f214,f8703,f217]) ).
thf(f22545,plain,
( ~ spl0_17
| spl0_68
| spl0_119
| ~ spl0_16
| ~ spl0_114
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f22542,f18574,f3251,f214,f3490,f2203,f217]) ).
thf(f22547,plain,
( ~ spl0_84
| spl0_22
| ~ spl0_142
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f21567,f17437,f4629,f248,f2493]) ).
thf(f22548,plain,
( ~ spl0_84
| spl0_295
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f21849,f8766,f17414,f2493]) ).
thf(f22550,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_84
| ~ spl0_129 ),
inference(constrained_superposition,[],[f21186,f2494]) ).
thf(f22560,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_84
| ~ spl0_129 ),
inference(trivial_inequality_removal,[],[f22550]) ).
thf(f22562,plain,
( spl0_112
| ~ spl0_84
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f22560,f3938,f2493,f3065]) ).
thf(f22570,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_388 ),
inference(constrained_superposition,[],[f21969,f35]) ).
thf(f22573,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_388 ),
inference(trivial_inequality_removal,[],[f22570]) ).
thf(f22600,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_27
| ~ spl0_80
| ~ spl0_138 ),
inference(constrained_superposition,[],[f279,f5081]) ).
thf(f22605,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_27
| ~ spl0_80
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f22600]) ).
thf(f22607,plain,
( ~ spl0_17
| ~ spl0_27
| ~ spl0_80
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f22605,f4453,f2432,f278,f217]) ).
thf(f22608,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_70
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f5826,f2259]) ).
thf(f22610,plain,
( $false
| ~ spl0_1
| ~ spl0_13
| ~ spl0_45
| ~ spl0_80
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f606,f5174]) ).
thf(f22611,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_45
| ~ spl0_80
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f22610]) ).
thf(f22612,plain,
( spl0_49
| spl0_70
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f22608,f5024,f2258,f781]) ).
thf(f22615,plain,
( spl0_84
| spl0_388 ),
inference(avatar_split_clause,[],[f22573,f21968,f2493]) ).
thf(f22706,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_13
| ~ spl0_144 ),
inference(constrained_superposition,[],[f4637,f179]) ).
thf(f22709,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_13
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f22706]) ).
thf(f22713,plain,
( $false
| ~ spl0_1
| ~ spl0_13
| ~ spl0_144 ),
inference(forward_subsumption_resolution,[],[f22709,f68]) ).
thf(f22714,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f22713]) ).
thf(f22743,plain,
( $false
| ~ spl0_58
| spl0_333 ),
inference(forward_subsumption_resolution,[],[f18069,f1049]) ).
thf(f22744,plain,
( ~ spl0_58
| spl0_333 ),
inference(avatar_contradiction_clause,[],[f22743]) ).
thf(f22745,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_333 ),
inference(constrained_superposition,[],[f18069,f37]) ).
thf(f22746,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(trivial_inequality_removal,[],[f22745]) ).
thf(f22747,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(forward_subsumption_resolution,[],[f22746,f31]) ).
thf(f22750,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_90
| ~ spl0_185 ),
inference(constrained_superposition,[],[f5344,f18268]) ).
thf(f22753,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_21
| ~ spl0_185 ),
inference(constrained_superposition,[],[f246,f18268]) ).
thf(f22760,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_21
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f22753]) ).
thf(f22763,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_90
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f22750]) ).
thf(f22770,plain,
( $false
| ~ spl0_21
| ~ spl0_142
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f22760,f17425]) ).
thf(f22771,plain,
( ~ spl0_21
| ~ spl0_142
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f22770]) ).
thf(f22772,plain,
( spl0_335
| spl0_295
| ~ spl0_156
| ~ spl0_90
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f22763,f8703,f2638,f5524,f17414,f18077]) ).
thf(f22783,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_101
| spl0_333 ),
inference(constrained_superposition,[],[f2908,f22747]) ).
thf(f22794,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_101
| spl0_333 ),
inference(trivial_inequality_removal,[],[f22783]) ).
thf(f22808,plain,
( ~ spl0_308
| ~ spl0_101
| spl0_333 ),
inference(avatar_split_clause,[],[f22794,f18068,f2907,f17596]) ).
thf(f22852,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_114
| ~ spl0_305 ),
inference(constrained_superposition,[],[f4795,f17586]) ).
thf(f22854,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_305 ),
inference(constrained_superposition,[],[f253,f17586]) ).
thf(f22856,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_305 ),
inference(constrained_superposition,[],[f26,f17586]) ).
thf(f22857,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f22856]) ).
thf(f22860,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_114
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f22852]) ).
thf(f22861,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f22854]) ).
thf(f22864,plain,
( spl0_117
| spl0_322
| ~ spl0_114
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f22860,f17585,f3251,f17986,f3483]) ).
thf(f22874,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1
| ~ spl0_237 ),
inference(constrained_superposition,[],[f14074,f68]) ).
thf(f22877,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f22874]) ).
thf(f22880,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_237
| ~ spl0_318 ),
inference(constrained_superposition,[],[f22877,f17638]) ).
thf(f22884,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_237
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f22880]) ).
thf(f22888,plain,
( $false
| ~ spl0_1
| ~ spl0_237
| ~ spl0_318
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f22884,f18266]) ).
thf(f22889,plain,
( ~ spl0_1
| ~ spl0_237
| ~ spl0_318
| ~ spl0_336 ),
inference(avatar_contradiction_clause,[],[f22888]) ).
thf(f22892,plain,
( ( $true != $true )
| ~ spl0_26
| ~ spl0_60 ),
inference(constrained_superposition,[],[f275,f4625]) ).
thf(f22893,plain,
( ( $true != $true )
| ~ spl0_26
| ~ spl0_68 ),
inference(constrained_superposition,[],[f275,f18271]) ).
thf(f22898,plain,
( $false
| ~ spl0_26
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f22893]) ).
thf(f22899,plain,
( ~ spl0_26
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f22898]) ).
thf(f22900,plain,
( $false
| ~ spl0_26
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f22892]) ).
thf(f22901,plain,
( ~ spl0_26
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f22900]) ).
thf(f22932,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_121
| ~ spl0_295 ),
inference(constrained_superposition,[],[f12646,f17415]) ).
thf(f22949,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_121
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f22932]) ).
thf(f23041,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_342 ),
inference(constrained_superposition,[],[f43,f18231]) ).
thf(f23056,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f23041]) ).
thf(f23058,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_23
| ~ spl0_305
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f23056,f22861]) ).
thf(f23059,plain,
( spl0_363
| ~ spl0_23
| ~ spl0_305
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f23058,f18230,f17585,f252,f18970]) ).
thf(f23086,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_16
| ~ spl0_354 ),
inference(constrained_superposition,[],[f215,f18575]) ).
thf(f23095,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_16
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f23086]) ).
thf(f23114,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_16
| ~ spl0_295
| ~ spl0_354 ),
inference(constrained_superposition,[],[f23095,f17415]) ).
thf(f23127,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_16
| ~ spl0_295
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f23114]) ).
thf(f23128,plain,
( ~ spl0_388
| ~ spl0_16
| ~ spl0_295
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f23127,f18574,f17414,f214,f21968]) ).
thf(f23148,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f43,f17354]) ).
thf(f23159,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f23148]) ).
thf(f23163,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_23
| ~ spl0_294
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f23159,f22861]) ).
thf(f23164,plain,
( spl0_379
| ~ spl0_23
| ~ spl0_294
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f23163,f17585,f17353,f252,f19796]) ).
thf(f23209,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_13
| ~ spl0_63 ),
inference(constrained_superposition,[],[f2107,f179]) ).
thf(f23215,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_13
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f23209]) ).
thf(f23218,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_11
| ~ spl0_13
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f23215,f172]) ).
thf(f23220,plain,
( spl0_144
| ~ spl0_11
| ~ spl0_13
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f23218,f2106,f178,f171,f4636]) ).
thf(f23222,definition,
( spl0_410
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_410])],[avatar_definition]) ).
thf(f23223,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_410 ),
inference(avatar_component_clause,[],[f23222]) ).
thf(f23224,plain,
( spl0_410
| spl0_118
| ~ spl0_121
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f22949,f17414,f3499,f3486,f23222]) ).
thf(f23226,definition,
( spl0_411
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_411])],[avatar_definition]) ).
thf(f23227,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_411 ),
inference(avatar_component_clause,[],[f23226]) ).
thf(f23232,definition,
( spl0_412
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_412])],[avatar_definition]) ).
thf(f23233,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_412 ),
inference(avatar_component_clause,[],[f23232]) ).
thf(f23240,plain,
( ( $true != $true )
| spl0_70
| ~ spl0_86 ),
inference(constrained_superposition,[],[f2259,f2508]) ).
thf(f23245,plain,
( $false
| spl0_70
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f23240]) ).
thf(f23246,plain,
( spl0_70
| ~ spl0_86 ),
inference(avatar_contradiction_clause,[],[f23245]) ).
thf(f23261,definition,
( spl0_413
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_413])],[avatar_definition]) ).
thf(f23262,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_413 ),
inference(avatar_component_clause,[],[f23261]) ).
thf(f23270,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_114
| ~ spl0_118 ),
inference(constrained_superposition,[],[f4795,f3487]) ).
thf(f23273,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_118 ),
inference(constrained_superposition,[],[f26,f3487]) ).
thf(f23274,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f23273]) ).
thf(f23275,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_114
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f23270]) ).
thf(f23279,plain,
( spl0_143
| spl0_119
| ~ spl0_114
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f23275,f3486,f3251,f3490,f4632]) ).
thf(f23284,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_129 ),
inference(constrained_superposition,[],[f3939,f151]) ).
thf(f23290,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_129 ),
inference(trivial_inequality_removal,[],[f23284]) ).
thf(f23301,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_95
| ~ spl0_143 ),
inference(constrained_superposition,[],[f2786,f4633]) ).
thf(f23309,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_95
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f23301]) ).
thf(f23318,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(constrained_superposition,[],[f18069,f37]) ).
thf(f23319,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_333 ),
inference(trivial_inequality_removal,[],[f23318]) ).
thf(f23320,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(forward_subsumption_resolution,[],[f23319,f31]) ).
thf(f23362,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_137
| ~ spl0_289 ),
inference(constrained_superposition,[],[f4451,f17337]) ).
thf(f23373,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_137
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f23362]) ).
thf(f23374,plain,
( $false
| ~ spl0_118
| ~ spl0_137
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f23373,f3487]) ).
thf(f23375,plain,
( ~ spl0_118
| ~ spl0_137
| ~ spl0_289 ),
inference(avatar_contradiction_clause,[],[f23374]) ).
thf(f23381,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_47
| ~ spl0_90 ),
inference(constrained_superposition,[],[f692,f2639]) ).
thf(f23385,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_47
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f23381]) ).
thf(f23462,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_342
| ~ spl0_412 ),
inference(constrained_superposition,[],[f23233,f18231]) ).
thf(f23479,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_342
| ~ spl0_412 ),
inference(trivial_inequality_removal,[],[f23462]) ).
thf(f23515,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_295
| ~ spl0_342
| ~ spl0_412 ),
inference(constrained_superposition,[],[f23479,f17415]) ).
thf(f23526,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_295
| ~ spl0_342
| ~ spl0_412 ),
inference(trivial_inequality_removal,[],[f23515]) ).
thf(f23531,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_295
| ~ spl0_342
| ~ spl0_412 ),
inference(constrained_superposition,[],[f23526,f28]) ).
thf(f23533,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_295
| ~ spl0_342
| ~ spl0_412 ),
inference(trivial_inequality_removal,[],[f23531]) ).
thf(f23535,definition,
( spl0_414
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_414])],[avatar_definition]) ).
thf(f23536,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_414 ),
inference(avatar_component_clause,[],[f23535]) ).
thf(f23537,plain,
( spl0_414
| spl0_302
| ~ spl0_295
| ~ spl0_342
| ~ spl0_412 ),
inference(avatar_split_clause,[],[f23533,f23232,f18230,f17414,f17572,f23535]) ).
thf(f23549,definition,
( spl0_415
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_415])],[avatar_definition]) ).
thf(f23550,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_415 ),
inference(avatar_component_clause,[],[f23549]) ).
thf(f23574,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_405 ),
inference(constrained_superposition,[],[f151,f22488]) ).
thf(f23689,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f23574,f32]) ).
thf(f23703,plain,
( $false
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f23689,f30]) ).
thf(f23704,plain,
~ spl0_405,
inference(avatar_contradiction_clause,[],[f23703]) ).
thf(f23744,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_401 ),
inference(constrained_superposition,[],[f22471,f35]) ).
thf(f23747,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_342
| ~ spl0_401 ),
inference(constrained_superposition,[],[f22471,f18231]) ).
thf(f23755,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_401 ),
inference(duplicate_literal_removal,[],[f23744]) ).
thf(f23756,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_401 ),
inference(trivial_inequality_removal,[],[f23755]) ).
thf(f23760,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_342
| ~ spl0_401 ),
inference(trivial_inequality_removal,[],[f23747]) ).
thf(f23762,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_84
| ~ spl0_401 ),
inference(forward_subsumption_resolution,[],[f23756,f4639]) ).
thf(f23763,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_333
| ~ spl0_342
| ~ spl0_401 ),
inference(forward_subsumption_resolution,[],[f23760,f23320]) ).
thf(f23764,plain,
( spl0_151
| ~ spl0_3
| spl0_84
| ~ spl0_401 ),
inference(avatar_split_clause,[],[f23762,f22470,f2493,f83,f5263]) ).
thf(f23765,plain,
( spl0_315
| spl0_333
| ~ spl0_342
| ~ spl0_401 ),
inference(avatar_split_clause,[],[f23763,f22470,f18230,f18068,f17627]) ).
thf(f23766,plain,
( ~ spl0_70
| spl0_110
| ~ spl0_47
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f23385,f2638,f691,f3058,f2258]) ).
thf(f23840,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_295
| ~ spl0_360 ),
inference(constrained_superposition,[],[f18802,f17415]) ).
thf(f23848,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_295
| ~ spl0_360 ),
inference(duplicate_literal_removal,[],[f23840]) ).
thf(f23849,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_295
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f23848]) ).
thf(f23861,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_295
| ~ spl0_360 ),
inference(constrained_superposition,[],[f23849,f17415]) ).
thf(f23867,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_295
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f23861]) ).
thf(f23972,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_343
| ~ spl0_415 ),
inference(constrained_superposition,[],[f18234,f23550]) ).
thf(f23976,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_305
| ~ spl0_343 ),
inference(constrained_superposition,[],[f18234,f17586]) ).
thf(f23978,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_343
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f23972]) ).
thf(f23981,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_305
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f23976]) ).
thf(f23984,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_11
| ~ spl0_343
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f23978,f172]) ).
thf(f23987,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_1
| ~ spl0_305
| ~ spl0_343 ),
inference(forward_subsumption_resolution,[],[f23981,f68]) ).
thf(f23988,plain,
( spl0_245
| ~ spl0_11
| ~ spl0_343
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f23984,f23549,f18233,f171,f14695]) ).
thf(f23990,plain,
( spl0_137
| ~ spl0_1
| ~ spl0_305
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f23987,f18233,f17585,f67,f4450]) ).
thf(f24002,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_319 ),
inference(constrained_superposition,[],[f17642,f36]) ).
thf(f24007,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_319
| ~ spl0_322 ),
inference(constrained_superposition,[],[f17642,f17987]) ).
thf(f24010,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_114
| ~ spl0_319 ),
inference(constrained_superposition,[],[f17642,f7334]) ).
thf(f24016,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_319
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f24007]) ).
thf(f24020,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_114
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f24010]) ).
thf(f24024,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_319 ),
inference(duplicate_literal_removal,[],[f24002]) ).
thf(f24025,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f24024]) ).
thf(f24048,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_356
| ~ spl0_415 ),
inference(constrained_superposition,[],[f18655,f23550]) ).
thf(f24057,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_356
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f24048]) ).
thf(f24061,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_13
| ~ spl0_356
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f24057,f179]) ).
thf(f24064,plain,
( spl0_245
| ~ spl0_13
| ~ spl0_356
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f24061,f23549,f18654,f178,f14695]) ).
thf(f24077,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_118
| ~ spl0_318 ),
inference(constrained_superposition,[],[f23274,f17638]) ).
thf(f24081,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_118
| ~ spl0_336 ),
inference(constrained_superposition,[],[f23274,f18266]) ).
thf(f24084,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_118
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f24081]) ).
thf(f24087,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_118
| ~ spl0_318 ),
inference(duplicate_literal_removal,[],[f24077]) ).
thf(f24088,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_118
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f24087]) ).
thf(f24090,plain,
( spl0_33
| ~ spl0_118
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f24084,f18082,f3486,f427]) ).
thf(f24091,plain,
( spl0_222
| ~ spl0_118
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f24088,f17637,f3486,f11439]) ).
thf(f24094,definition,
( spl0_416
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_416])],[avatar_definition]) ).
thf(f24095,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_416 ),
inference(avatar_component_clause,[],[f24094]) ).
thf(f24104,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_49
| ~ spl0_183 ),
inference(constrained_superposition,[],[f782,f8685]) ).
thf(f24108,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_49
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f24104]) ).
thf(f24122,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_13
| ~ spl0_33 ),
inference(constrained_superposition,[],[f428,f179]) ).
thf(f24126,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_13
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f24122]) ).
thf(f24128,plain,
( spl0_113
| ~ spl0_13
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f24126,f427,f178,f3155]) ).
thf(f24129,plain,
( ~ spl0_301
| ~ spl0_295
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f23867,f18801,f17414,f17569]) ).
thf(f24131,plain,
( ~ spl0_301
| ~ spl0_49
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f24108,f8684,f781,f17569]) ).
thf(f24133,plain,
( ~ spl0_301
| ~ spl0_95
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f23309,f4632,f2785,f17569]) ).
thf(f24137,definition,
( spl0_417
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_417])],[avatar_definition]) ).
thf(f24138,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_417 ),
inference(avatar_component_clause,[],[f24137]) ).
thf(f24144,plain,
( spl0_394
| ~ spl0_319
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f24016,f17986,f17641,f21996]) ).
thf(f24145,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_114
| spl0_304
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[],[f24020,f17580]) ).
thf(f24148,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_114
| spl0_304
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[],[f24145,f31]) ).
thf(f24150,plain,
( spl0_394
| ~ spl0_114
| spl0_304
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f24148,f17641,f17579,f3251,f21996]) ).
thf(f24156,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f944,f55]) ).
thf(f24160,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f24156]) ).
thf(f24186,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f87,f55]) ).
thf(f24194,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f24186]) ).
thf(f24196,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f24160,f36]) ).
thf(f24198,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f24196]) ).
thf(f24200,plain,
( spl0_6
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f24198,f943,f110]) ).
thf(f24203,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) )
| ~ spl0_128 ),
inference(constrained_superposition,[],[f3936,f1944]) ).
thf(f24207,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_128 ),
inference(trivial_inequality_removal,[],[f24203]) ).
thf(f24213,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_295
| ~ spl0_397 ),
inference(constrained_superposition,[],[f22331,f17415]) ).
thf(f24228,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_295
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f24213]) ).
thf(f24235,plain,
( $false
| ~ spl0_60
| ~ spl0_295
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f24228,f4625]) ).
thf(f24236,plain,
( ~ spl0_60
| ~ spl0_295
| ~ spl0_397 ),
inference(avatar_contradiction_clause,[],[f24235]) ).
thf(f24263,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_46
| ~ spl0_295 ),
inference(constrained_superposition,[],[f609,f17415]) ).
thf(f24264,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_46
| ~ spl0_342 ),
inference(constrained_superposition,[],[f609,f18231]) ).
thf(f24266,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_46
| ~ spl0_143 ),
inference(constrained_superposition,[],[f609,f4633]) ).
thf(f24270,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_46
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f24266]) ).
thf(f24281,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_46
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f24264]) ).
thf(f24282,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_46
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f24263]) ).
thf(f24294,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_292
| ~ spl0_363 ),
inference(constrained_superposition,[],[f18971,f17347]) ).
thf(f24296,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_292
| ~ spl0_395 ),
inference(constrained_superposition,[],[f22001,f17347]) ).
thf(f24304,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| ~ spl0_292
| ~ spl0_363 ),
inference(trivial_inequality_removal,[],[f24294]) ).
thf(f24316,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_292
| ~ spl0_395 ),
inference(trivial_inequality_removal,[],[f24296]) ).
thf(f24318,definition,
( spl0_418
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_418])],[avatar_definition]) ).
thf(f24319,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_418 ),
inference(avatar_component_clause,[],[f24318]) ).
thf(f24320,plain,
( ~ spl0_301
| spl0_418
| ~ spl0_292
| ~ spl0_363 ),
inference(avatar_split_clause,[],[f24304,f18970,f17346,f24318,f17569]) ).
thf(f24324,definition,
( spl0_419
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_419])],[avatar_definition]) ).
thf(f24325,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ~ spl0_419 ),
inference(avatar_component_clause,[],[f24324]) ).
thf(f24329,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_183
| ~ spl0_292
| ~ spl0_395 ),
inference(forward_subsumption_resolution,[],[f24316,f8685]) ).
thf(f24333,plain,
( spl0_418
| ~ spl0_183
| ~ spl0_292
| ~ spl0_395 ),
inference(avatar_split_clause,[],[f24329,f22000,f17346,f8684,f24318]) ).
thf(f24340,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_419 ),
inference(constrained_superposition,[],[f24325,f54]) ).
thf(f24355,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f24340]) ).
thf(f24365,plain,
( $false
| spl0_318
| ~ spl0_419 ),
inference(forward_subsumption_resolution,[],[f24355,f17974]) ).
thf(f24366,plain,
( spl0_318
| ~ spl0_419 ),
inference(avatar_contradiction_clause,[],[f24365]) ).
thf(f24379,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_192
| ~ spl0_293 ),
inference(constrained_superposition,[],[f8790,f17351]) ).
thf(f24383,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_192
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f24379]) ).
thf(f24388,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_192
| ~ spl0_293
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f24383,f18992]) ).
thf(f24389,plain,
( spl0_329
| ~ spl0_192
| ~ spl0_293
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f24388,f18068,f17350,f8789,f18024]) ).
thf(f24403,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_295
| ~ spl0_398 ),
inference(constrained_superposition,[],[f22335,f17415]) ).
thf(f24404,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_292
| ~ spl0_398 ),
inference(constrained_superposition,[],[f22335,f17347]) ).
thf(f24412,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f24404]) ).
thf(f24420,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_295
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f24403]) ).
thf(f24422,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_295
| ~ spl0_398 ),
inference(constrained_superposition,[],[f24420,f28]) ).
thf(f24423,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_295
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f24422]) ).
thf(f24424,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f5524]) ).
thf(f24425,plain,
( spl0_303
| spl0_156
| ~ spl0_295
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f24423,f22334,f17414,f5524,f17576]) ).
thf(f24443,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_398 ),
inference(constrained_superposition,[],[f24412,f28]) ).
thf(f24444,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f24443]) ).
thf(f24449,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_292
| ~ spl0_418 ),
inference(constrained_superposition,[],[f24319,f17347]) ).
thf(f24462,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_292
| ~ spl0_418 ),
inference(trivial_inequality_removal,[],[f24449]) ).
thf(f24467,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_292
| ~ spl0_418 ),
inference(constrained_superposition,[],[f24462,f152]) ).
thf(f24470,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_292
| ~ spl0_418 ),
inference(trivial_inequality_removal,[],[f24467]) ).
thf(f24472,definition,
( spl0_420
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_420])],[avatar_definition]) ).
thf(f24473,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_420 ),
inference(avatar_component_clause,[],[f24472]) ).
thf(f24478,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_292
| ~ spl0_418 ),
inference(forward_subsumption_resolution,[],[f24470,f31]) ).
thf(f24479,plain,
( spl0_420
| ~ spl0_292
| ~ spl0_418 ),
inference(avatar_split_clause,[],[f24478,f24318,f17346,f24472]) ).
thf(f24504,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_342 ),
inference(constrained_superposition,[],[f24194,f18231]) ).
thf(f24518,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f24504]) ).
thf(f24529,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_227
| ~ spl0_295 ),
inference(constrained_superposition,[],[f12402,f17415]) ).
thf(f24533,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_227
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f24529]) ).
thf(f24540,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_143
| ~ spl0_227
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f24533,f4633]) ).
thf(f24541,plain,
( ~ spl0_301
| ~ spl0_143
| ~ spl0_227
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f24540,f17414,f12401,f4632,f17569]) ).
thf(f24543,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_183
| ~ spl0_381 ),
inference(constrained_superposition,[],[f20512,f8685]) ).
thf(f24545,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_295
| ~ spl0_381 ),
inference(constrained_superposition,[],[f20512,f17415]) ).
thf(f24547,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_143
| ~ spl0_381 ),
inference(constrained_superposition,[],[f20512,f4633]) ).
thf(f24548,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_381 ),
inference(constrained_superposition,[],[f20512,f150]) ).
thf(f24553,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_183
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f24543]) ).
thf(f24555,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f24548]) ).
thf(f24558,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_295
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f24545]) ).
thf(f24562,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_143
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f24547]) ).
thf(f24564,plain,
( spl0_54
| ~ spl0_183
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f24553,f20511,f8684,f936]) ).
thf(f24565,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_185
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f24555,f8704]) ).
thf(f24567,plain,
( spl0_131
| ~ spl0_295
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f24558,f20511,f17414,f3979]) ).
thf(f24569,plain,
( spl0_52
| ~ spl0_143
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f24562,f20511,f4632,f929]) ).
thf(f24571,plain,
( spl0_52
| spl0_185
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f24565,f20511,f8703,f929]) ).
thf(f24585,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_306 ),
inference(constrained_superposition,[],[f17590,f36]) ).
thf(f24606,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f24585]) ).
thf(f24657,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_342
| ~ spl0_416 ),
inference(constrained_superposition,[],[f24095,f18231]) ).
thf(f24668,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_342
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f24657]) ).
thf(f24675,plain,
( spl0_131
| ~ spl0_342
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f24668,f24094,f18230,f3979]) ).
thf(f24730,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f22483,f36]) ).
thf(f24732,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f22483,f54]) ).
thf(f24733,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_295
| ~ spl0_404 ),
inference(constrained_superposition,[],[f22483,f17415]) ).
thf(f24735,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_143
| ~ spl0_404 ),
inference(constrained_superposition,[],[f22483,f4633]) ).
thf(f24736,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f22483,f150]) ).
thf(f24738,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_114
| ~ spl0_404 ),
inference(constrained_superposition,[],[f22483,f7334]) ).
thf(f24741,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f24732]) ).
thf(f24742,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_404 ),
inference(duplicate_literal_removal,[],[f24736]) ).
thf(f24743,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f24742]) ).
thf(f24746,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_114
| ~ spl0_404 ),
inference(duplicate_literal_removal,[],[f24738]) ).
thf(f24747,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_114
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f24746]) ).
thf(f24748,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_295
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f24733]) ).
thf(f24752,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_143
| ~ spl0_404 ),
inference(duplicate_literal_removal,[],[f24735]) ).
thf(f24753,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_143
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f24752]) ).
thf(f24755,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_404 ),
inference(duplicate_literal_removal,[],[f24730]) ).
thf(f24756,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f24755]) ).
thf(f24757,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_318
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f24741,f17974]) ).
thf(f24758,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_185
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f24743,f8704]) ).
thf(f24760,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_114
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f24747,f31]) ).
thf(f24761,plain,
( spl0_227
| ~ spl0_295
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f24748,f22482,f17414,f12401]) ).
thf(f24764,plain,
( spl0_95
| ~ spl0_143
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f24753,f22482,f4632,f2785]) ).
thf(f24765,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_336
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f24756,f18083]) ).
thf(f24766,plain,
( spl0_96
| spl0_318
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f24757,f22482,f17637,f2789]) ).
thf(f24767,plain,
( spl0_95
| spl0_185
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f24758,f22482,f8703,f2785]) ).
thf(f24769,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_68
| ~ spl0_114
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f24760,f2204]) ).
thf(f24770,plain,
( spl0_95
| spl0_336
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f24765,f22482,f18082,f2785]) ).
thf(f24772,plain,
( spl0_95
| spl0_68
| ~ spl0_114
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f24769,f22482,f3251,f2203,f2785]) ).
thf(f24774,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_128
| ~ spl0_414 ),
inference(constrained_superposition,[],[f24207,f23536]) ).
thf(f24778,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_128
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f24774]) ).
thf(f24822,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_296
| ~ spl0_414 ),
inference(constrained_superposition,[],[f17418,f23536]) ).
thf(f24824,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_293
| ~ spl0_296 ),
inference(constrained_superposition,[],[f17418,f17351]) ).
thf(f24832,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_296
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f24822]) ).
thf(f24833,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_293
| ~ spl0_296 ),
inference(trivial_inequality_removal,[],[f24824]) ).
thf(f24838,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_156
| ~ spl0_296
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f24832,f24424]) ).
thf(f24840,definition,
( spl0_422
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_422])],[avatar_definition]) ).
thf(f24841,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_422 ),
inference(avatar_component_clause,[],[f24840]) ).
thf(f24842,plain,
( ~ spl0_372
| spl0_422
| ~ spl0_293
| ~ spl0_296 ),
inference(avatar_split_clause,[],[f24833,f17417,f17350,f24840,f19629]) ).
thf(f24844,plain,
( spl0_245
| ~ spl0_156
| ~ spl0_296
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f24838,f23535,f17417,f5524,f14695]) ).
thf(f24849,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_313
| ~ spl0_322 ),
inference(constrained_superposition,[],[f17616,f17987]) ).
thf(f24864,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_313
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f24849]) ).
thf(f24868,plain,
( spl0_390
| ~ spl0_313
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f24864,f17986,f17615,f21978]) ).
thf(f24878,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_305
| ~ spl0_389 ),
inference(constrained_superposition,[],[f21975,f17586]) ).
thf(f24881,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_305
| ~ spl0_389 ),
inference(duplicate_literal_removal,[],[f24878]) ).
thf(f24882,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_305
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f24881]) ).
thf(f24888,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_118
| ~ spl0_305
| ~ spl0_389 ),
inference(forward_subsumption_resolution,[],[f24882,f3487]) ).
thf(f24892,plain,
( spl0_115
| ~ spl0_118
| ~ spl0_305
| ~ spl0_389 ),
inference(avatar_split_clause,[],[f24888,f21974,f17585,f3486,f3254]) ).
thf(f24899,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_292
| ~ spl0_393 ),
inference(constrained_superposition,[],[f21993,f17347]) ).
thf(f24903,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_292
| ~ spl0_393 ),
inference(duplicate_literal_removal,[],[f24899]) ).
thf(f24904,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_292
| ~ spl0_393 ),
inference(trivial_inequality_removal,[],[f24903]) ).
thf(f24908,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ~ spl0_183
| ~ spl0_292
| ~ spl0_393 ),
inference(forward_subsumption_resolution,[],[f24904,f8685]) ).
thf(f24910,definition,
( spl0_423
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_423])],[avatar_definition]) ).
thf(f24911,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_423 ),
inference(avatar_component_clause,[],[f24910]) ).
thf(f24913,plain,
( spl0_419
| ~ spl0_183
| ~ spl0_292
| ~ spl0_393 ),
inference(avatar_split_clause,[],[f24908,f21992,f17346,f8684,f24324]) ).
thf(f24925,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_305
| ~ spl0_333 ),
inference(constrained_superposition,[],[f22857,f18992]) ).
thf(f24929,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_305
| ~ spl0_311 ),
inference(constrained_superposition,[],[f22857,f17608]) ).
thf(f24930,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_305
| ~ spl0_333 ),
inference(duplicate_literal_removal,[],[f24925]) ).
thf(f24931,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_305
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f24930]) ).
thf(f24934,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_305
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f24929]) ).
thf(f24937,plain,
( spl0_222
| ~ spl0_305
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f24931,f18068,f17585,f11439]) ).
thf(f24938,plain,
( spl0_33
| ~ spl0_305
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f24934,f17607,f17585,f427]) ).
thf(f24939,plain,
( spl0_305
| spl0_124
| ~ spl0_46
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f24281,f18230,f608,f3692,f17585]) ).
thf(f24940,plain,
( spl0_305
| ~ spl0_388
| ~ spl0_4
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f24518,f18230,f86,f21968,f17585]) ).
thf(f24955,plain,
( spl0_415
| spl0_405
| ~ spl0_292
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f24444,f22334,f17346,f22487,f23549]) ).
thf(f24981,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_118 ),
inference(avatar_component_clause,[],[f3486]) ).
thf(f24987,definition,
( spl0_425
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_425])],[avatar_definition]) ).
thf(f24988,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_425 ),
inference(avatar_component_clause,[],[f24987]) ).
thf(f24989,plain,
( spl0_425
| spl0_311
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f24025,f17641,f17607,f24987]) ).
thf(f24990,plain,
( spl0_118
| spl0_124
| ~ spl0_46
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f24282,f17414,f608,f3692,f3486]) ).
thf(f24993,plain,
( spl0_118
| spl0_96
| ~ spl0_46
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f24270,f4632,f608,f2789,f3486]) ).
thf(f25043,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f150,f3484]) ).
thf(f25127,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f25043,f30]) ).
thf(f25144,plain,
( $false
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f25127,f32]) ).
thf(f25145,plain,
~ spl0_117,
inference(avatar_contradiction_clause,[],[f25144]) ).
thf(f25197,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_90
| ~ spl0_318 ),
inference(constrained_superposition,[],[f5344,f17638]) ).
thf(f25202,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_90
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f25197]) ).
thf(f25351,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_90
| ~ spl0_97 ),
inference(constrained_superposition,[],[f2821,f2639]) ).
thf(f25354,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_90
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f25351]) ).
thf(f25394,definition,
( spl0_426
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_426])],[avatar_definition]) ).
thf(f25395,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_426 ),
inference(avatar_component_clause,[],[f25394]) ).
thf(f25396,plain,
( spl0_336
| spl0_426
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f24606,f17589,f25394,f18082]) ).
thf(f25472,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_139
| ~ spl0_290 ),
inference(constrained_superposition,[],[f4494,f17340]) ).
thf(f25473,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_60
| ~ spl0_290 ),
inference(constrained_superposition,[],[f4844,f17340]) ).
thf(f25481,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_290
| ~ spl0_383 ),
inference(constrained_superposition,[],[f20911,f17340]) ).
thf(f25483,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_290
| ~ spl0_394 ),
inference(constrained_superposition,[],[f21997,f17340]) ).
thf(f25484,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_290
| ~ spl0_413 ),
inference(constrained_superposition,[],[f23262,f17340]) ).
thf(f25491,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_290
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f25481]) ).
thf(f25492,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_139
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f25472]) ).
thf(f25494,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_60
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f25473]) ).
thf(f25496,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_290
| ~ spl0_413 ),
inference(duplicate_literal_removal,[],[f25484]) ).
thf(f25497,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_290
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f25496]) ).
thf(f25500,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_290
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f25483]) ).
thf(f25509,plain,
( spl0_390
| ~ spl0_139
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f25492,f17339,f4493,f21978]) ).
thf(f25548,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_360 ),
inference(constrained_superposition,[],[f18802,f36]) ).
thf(f25564,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_360 ),
inference(duplicate_literal_removal,[],[f25548]) ).
thf(f25565,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f25564]) ).
thf(f25590,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_60
| ~ spl0_290
| ~ spl0_295 ),
inference(constrained_superposition,[],[f25494,f17415]) ).
thf(f25591,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_60
| ~ spl0_290 ),
inference(constrained_superposition,[],[f25494,f150]) ).
thf(f25600,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_60
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f25591]) ).
thf(f25602,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_60
| ~ spl0_290
| ~ spl0_295 ),
inference(duplicate_literal_removal,[],[f25590]) ).
thf(f25603,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_60
| ~ spl0_290
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f25602]) ).
thf(f25607,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_60
| ~ spl0_290
| ~ spl0_295 ),
inference(constrained_superposition,[],[f25603,f35]) ).
thf(f25617,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_60
| ~ spl0_290
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f25607]) ).
thf(f25618,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_60
| spl0_84
| ~ spl0_290
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f25617,f4639]) ).
thf(f25619,plain,
( ~ spl0_3
| ~ spl0_60
| spl0_84
| ~ spl0_290
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f25618,f17414,f17339,f2493,f1989,f83]) ).
thf(f25621,definition,
( spl0_427
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_427])],[avatar_definition]) ).
thf(f25622,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_427 ),
inference(avatar_component_clause,[],[f25621]) ).
thf(f25623,plain,
( spl0_336
| spl0_427
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f25565,f18801,f25621,f18082]) ).
thf(f25624,plain,
( spl0_295
| ~ spl0_128
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f24778,f23535,f3935,f17414]) ).
thf(f25627,plain,
( spl0_185
| spl0_199
| ~ spl0_60
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f25600,f17339,f1989,f9935,f8703]) ).
thf(f25629,definition,
( spl0_428
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_428])],[avatar_definition]) ).
thf(f25630,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_428 ),
inference(avatar_component_clause,[],[f25629]) ).
thf(f25634,definition,
( spl0_429
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_429])],[avatar_definition]) ).
thf(f25635,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_429 ),
inference(avatar_component_clause,[],[f25634]) ).
thf(f25638,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_120 ),
inference(avatar_component_clause,[],[f3493]) ).
thf(f25641,plain,
( spl0_335
| ~ spl0_120
| spl0_295
| ~ spl0_90
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f25202,f17637,f2638,f17414,f3493,f18077]) ).
thf(f25643,definition,
( spl0_430
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_430])],[avatar_definition]) ).
thf(f25644,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_430 ),
inference(avatar_component_clause,[],[f25643]) ).
thf(f25645,plain,
( ~ spl0_120
| spl0_430
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f5417,f2432,f25643,f3493]) ).
thf(f25646,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_93
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f2698,f23290]) ).
thf(f25647,plain,
( spl0_38
| ~ spl0_93
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f25646,f3938,f2697,f555]) ).
thf(f25649,definition,
( spl0_431
<=> ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_431])],[avatar_definition]) ).
thf(f25650,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_431 ),
inference(avatar_component_clause,[],[f25649]) ).
thf(f25651,plain,
( spl0_431
| ~ spl0_107
| ~ spl0_290
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f25497,f23261,f17339,f2970,f25649]) ).
thf(f25652,plain,
( spl0_204
| ~ spl0_107
| ~ spl0_290
| ~ spl0_383 ),
inference(avatar_split_clause,[],[f25491,f20910,f17339,f2970,f10196]) ).
thf(f25654,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_431 ),
inference(constrained_superposition,[],[f25650,f36]) ).
thf(f25656,plain,
( ( $true != $true )
| ~ spl0_290
| ~ spl0_431 ),
inference(constrained_superposition,[],[f25650,f17340]) ).
thf(f25660,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f25654]) ).
thf(f25665,plain,
( $false
| ~ spl0_290
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f25656]) ).
thf(f25666,plain,
( ~ spl0_290
| ~ spl0_431 ),
inference(avatar_contradiction_clause,[],[f25665]) ).
thf(f25667,plain,
( $false
| spl0_70
| ~ spl0_431 ),
inference(forward_subsumption_resolution,[],[f25660,f2259]) ).
thf(f25668,plain,
( spl0_70
| ~ spl0_431 ),
inference(avatar_contradiction_clause,[],[f25667]) ).
thf(f25670,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f2912,f28]) ).
thf(f25672,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f25670]) ).
thf(f25683,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_120 ),
inference(constrained_superposition,[],[f26,f3494]) ).
thf(f25689,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_120 ),
inference(trivial_inequality_removal,[],[f25683]) ).
thf(f25693,plain,
( spl0_243
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f25689,f3493,f14623]) ).
thf(f25699,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X2 @ z )
!= $true ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f26,f17425]) ).
thf(f25705,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f25699]) ).
thf(f25783,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_23
| ~ spl0_118 ),
inference(constrained_superposition,[],[f253,f3487]) ).
thf(f25787,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f25783]) ).
thf(f25791,plain,
( $false
| ~ spl0_23
| ~ spl0_118
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f25787,f17425]) ).
thf(f25792,plain,
( ~ spl0_23
| ~ spl0_118
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f25791]) ).
thf(f25859,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f3031,f150]) ).
thf(f25860,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_80
| ~ spl0_109
| ~ spl0_138 ),
inference(constrained_superposition,[],[f3031,f5081]) ).
thf(f25862,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f25859]) ).
thf(f25865,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_80
| ~ spl0_109
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f25860]) ).
thf(f25867,plain,
( spl0_32
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f25862,f3030,f389]) ).
thf(f25869,plain,
( ~ spl0_3
| ~ spl0_80
| ~ spl0_109
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f25865,f4453,f3030,f2432,f83]) ).
thf(f25916,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_427 ),
inference(constrained_superposition,[],[f25622,f55]) ).
thf(f25918,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f25916]) ).
thf(f25966,plain,
( ~ spl0_107
| ~ spl0_111
| ~ spl0_290
| ~ spl0_394 ),
inference(avatar_split_clause,[],[f25500,f21996,f17339,f3061,f2970]) ).
thf(f25998,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_111 ),
inference(constrained_superposition,[],[f7678,f28]) ).
thf(f26000,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_111 ),
inference(trivial_inequality_removal,[],[f25998]) ).
thf(f26018,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_307 ),
inference(constrained_superposition,[],[f246,f17593]) ).
thf(f26021,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_21
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f26018]) ).
thf(f26025,plain,
( $false
| ~ spl0_21
| ~ spl0_307
| ~ spl0_320 ),
inference(forward_subsumption_resolution,[],[f26021,f17648]) ).
thf(f26026,plain,
( ~ spl0_21
| ~ spl0_307
| ~ spl0_320 ),
inference(avatar_contradiction_clause,[],[f26025]) ).
thf(f26089,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f25672,f28]) ).
thf(f26091,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_102 ),
inference(duplicate_literal_removal,[],[f26089]) ).
thf(f26092,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f26091]) ).
thf(f26104,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) )
| ~ spl0_145 ),
inference(constrained_superposition,[],[f4773,f1944]) ).
thf(f26109,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f26104]) ).
thf(f26145,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_204
| ~ spl0_345 ),
inference(constrained_superposition,[],[f10197,f18242]) ).
thf(f26163,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_204
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f26145]) ).
thf(f26164,plain,
( $false
| ~ spl0_204
| ~ spl0_304
| ~ spl0_345 ),
inference(forward_subsumption_resolution,[],[f26163,f22504]) ).
thf(f26165,plain,
( ~ spl0_204
| ~ spl0_304
| ~ spl0_345 ),
inference(avatar_contradiction_clause,[],[f26164]) ).
thf(f26171,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_154
| ~ spl0_354 ),
inference(constrained_superposition,[],[f5379,f18575]) ).
thf(f26175,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_154
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f26171]) ).
thf(f26178,plain,
( $false
| ~ spl0_154
| ~ spl0_183
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f26175,f8685]) ).
thf(f26179,plain,
( ~ spl0_154
| ~ spl0_183
| ~ spl0_354 ),
inference(avatar_contradiction_clause,[],[f26178]) ).
thf(f26216,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_80
| ~ spl0_291 ),
inference(constrained_superposition,[],[f5335,f17344]) ).
thf(f26222,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_80
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f26216]) ).
thf(f26229,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_305 ),
inference(avatar_component_clause,[],[f17585]) ).
thf(f26230,plain,
( spl0_295
| ~ spl0_305
| spl0_341
| ~ spl0_80
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f26222,f17343,f2432,f18188,f17585,f17414]) ).
thf(f26233,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_293
| ~ spl0_329 ),
inference(constrained_superposition,[],[f18025,f17351]) ).
thf(f26240,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_293
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f26233]) ).
thf(f26247,plain,
( $false
| ~ spl0_142
| ~ spl0_293
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f26240,f17425]) ).
thf(f26248,plain,
( ~ spl0_142
| ~ spl0_293
| ~ spl0_329 ),
inference(avatar_contradiction_clause,[],[f26247]) ).
thf(f26276,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_322 ),
inference(avatar_component_clause,[],[f17986]) ).
thf(f26279,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_322 ),
inference(constrained_superposition,[],[f26276,f150]) ).
thf(f26281,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_322 ),
inference(trivial_inequality_removal,[],[f26279]) ).
thf(f26283,plain,
( spl0_307
| spl0_322 ),
inference(avatar_split_clause,[],[f26281,f17986,f17592]) ).
thf(f26319,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_18
| ~ spl0_354 ),
inference(constrained_superposition,[],[f222,f18575]) ).
thf(f26322,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_18
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f26319]) ).
thf(f26327,plain,
( spl0_397
| ~ spl0_18
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f26322,f18574,f221,f22330]) ).
thf(f26397,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_345
| ~ spl0_417 ),
inference(constrained_superposition,[],[f24138,f18242]) ).
thf(f26409,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_345
| ~ spl0_417 ),
inference(trivial_inequality_removal,[],[f26397]) ).
thf(f26417,plain,
( ~ spl0_308
| ~ spl0_345
| ~ spl0_417 ),
inference(avatar_split_clause,[],[f26409,f24137,f18241,f17596]) ).
thf(f26479,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_175 ),
inference(constrained_superposition,[],[f7681,f36]) ).
thf(f26490,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f26479]) ).
thf(f26493,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_70
| ~ spl0_175 ),
inference(forward_subsumption_resolution,[],[f26490,f2259]) ).
thf(f26494,plain,
( spl0_426
| spl0_70
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f26493,f7680,f2258,f25394]) ).
thf(f26536,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_13
| ~ spl0_242 ),
inference(constrained_superposition,[],[f14607,f179]) ).
thf(f26539,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_11
| ~ spl0_242 ),
inference(constrained_superposition,[],[f14607,f172]) ).
thf(f26543,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_242 ),
inference(duplicate_literal_removal,[],[f26539]) ).
thf(f26544,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_11
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f26543]) ).
thf(f26545,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_13
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f26536]) ).
thf(f26546,plain,
( spl0_237
| ~ spl0_11
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f26544,f14606,f171,f14073]) ).
thf(f26547,plain,
( spl0_63
| ~ spl0_13
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f26545,f14606,f178,f2106]) ).
thf(f26548,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_118
| ~ spl0_145 ),
inference(constrained_superposition,[],[f26109,f3487]) ).
thf(f26553,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_118
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f26548]) ).
thf(f26555,plain,
( spl0_295
| ~ spl0_118
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f26553,f4772,f3486,f17414]) ).
thf(f26600,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_1
| ~ spl0_80
| ~ spl0_318 ),
inference(constrained_superposition,[],[f5182,f17638]) ).
thf(f26608,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_1
| ~ spl0_80
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f26600]) ).
thf(f26613,plain,
( spl0_295
| spl0_189
| ~ spl0_1
| ~ spl0_80
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f26608,f17637,f2432,f67,f8766,f17414]) ).
thf(f26671,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_80
| ~ spl0_333 ),
inference(constrained_superposition,[],[f5182,f18992]) ).
thf(f26679,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_1
| ~ spl0_80
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f26671]) ).
thf(f26683,plain,
( spl0_329
| spl0_342
| ~ spl0_1
| ~ spl0_80
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f26679,f18068,f2432,f67,f18230,f18024]) ).
thf(f26756,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_84
| ~ spl0_102 ),
inference(constrained_superposition,[],[f4639,f26092]) ).
thf(f26768,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_80
| ~ spl0_102 ),
inference(constrained_superposition,[],[f4860,f26092]) ).
thf(f26769,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_90
| ~ spl0_102 ),
inference(constrained_superposition,[],[f4895,f26092]) ).
thf(f26788,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_90
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f26769]) ).
thf(f26790,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_84
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f26756]) ).
thf(f26793,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_80
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f26768]) ).
thf(f26815,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_16
| ~ spl0_112 ),
inference(constrained_superposition,[],[f215,f3066]) ).
thf(f26816,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_16
| ~ spl0_354 ),
inference(constrained_superposition,[],[f215,f18575]) ).
thf(f26820,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_16
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f26815]) ).
thf(f26821,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_16
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f26816]) ).
thf(f26826,plain,
( spl0_417
| ~ spl0_16
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f26820,f3065,f214,f24137]) ).
thf(f26827,plain,
( spl0_423
| ~ spl0_16
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f26821,f18574,f214,f24910]) ).
thf(f26843,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_423 ),
inference(constrained_superposition,[],[f24911,f54]) ).
thf(f26850,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f26843]) ).
thf(f26905,definition,
( spl0_433
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_433])],[avatar_definition]) ).
thf(f26906,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_433 ),
inference(avatar_component_clause,[],[f26905]) ).
thf(f26923,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_292
| ~ spl0_310 ),
inference(constrained_superposition,[],[f17605,f17347]) ).
thf(f26929,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_292
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f26923]) ).
thf(f26938,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_292
| ~ spl0_310
| ~ spl0_367 ),
inference(constrained_superposition,[],[f26929,f19252]) ).
thf(f26943,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_292
| ~ spl0_310
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f26938]) ).
thf(f26950,plain,
( ~ spl0_17
| ~ spl0_292
| ~ spl0_310
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f26943,f19251,f17604,f17346,f217]) ).
thf(f26955,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_90
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f26788,f31]) ).
thf(f26956,plain,
( ~ spl0_3
| spl0_318
| ~ spl0_423 ),
inference(avatar_split_clause,[],[f26850,f24910,f17637,f83]) ).
thf(f26957,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_80
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f26793,f31]) ).
thf(f26958,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_84
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f26790,f31]) ).
thf(f26959,plain,
( spl0_132
| spl0_129
| spl0_70
| ~ spl0_90
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f26955,f2911,f2638,f2258,f3938,f4026]) ).
thf(f26960,plain,
( spl0_23
| spl0_70
| spl0_132
| ~ spl0_80
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f26957,f2911,f2432,f4026,f2258,f252]) ).
thf(f26961,plain,
( spl0_70
| spl0_84
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f26958,f2911,f2493,f2258]) ).
thf(f26968,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_90
| ~ spl0_120 ),
inference(constrained_superposition,[],[f4895,f3494]) ).
thf(f26975,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_90
| ~ spl0_120 ),
inference(trivial_inequality_removal,[],[f26968]) ).
thf(f26980,plain,
( spl0_74
| spl0_145
| ~ spl0_90
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f26975,f3493,f2638,f4772,f2367]) ).
thf(f27042,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_305 ),
inference(constrained_superposition,[],[f2246,f17586]) ).
thf(f27045,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f27042]) ).
thf(f27046,plain,
( spl0_342
| spl0_356
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f27045,f17585,f18654,f18230]) ).
thf(f27119,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) )
| ~ spl0_145 ),
inference(constrained_superposition,[],[f4773,f1944]) ).
thf(f27124,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f27119]) ).
thf(f27128,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_385 ),
inference(constrained_superposition,[],[f21512,f36]) ).
thf(f27130,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_290
| ~ spl0_385 ),
inference(constrained_superposition,[],[f21512,f17340]) ).
thf(f27137,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_290
| ~ spl0_385 ),
inference(trivial_inequality_removal,[],[f27130]) ).
thf(f27138,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_385 ),
inference(trivial_inequality_removal,[],[f27128]) ).
thf(f27140,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_290
| ~ spl0_385 ),
inference(constrained_superposition,[],[f27137,f28]) ).
thf(f27141,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_290
| ~ spl0_385 ),
inference(trivial_inequality_removal,[],[f27140]) ).
thf(f27142,plain,
( spl0_414
| spl0_302
| ~ spl0_290
| ~ spl0_385 ),
inference(avatar_split_clause,[],[f27141,f21511,f17339,f17572,f23535]) ).
thf(f27257,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_192
| ~ spl0_414 ),
inference(constrained_superposition,[],[f8790,f23536]) ).
thf(f27271,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_192
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f27257]) ).
thf(f27273,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_13
| ~ spl0_192
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f27271,f179]) ).
thf(f27275,plain,
( spl0_129
| ~ spl0_13
| ~ spl0_192
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f27273,f23535,f8789,f178,f3938]) ).
thf(f27278,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_145
| ~ spl0_305 ),
inference(constrained_superposition,[],[f27124,f17586]) ).
thf(f27281,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_145
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f27278]) ).
thf(f27284,plain,
( spl0_342
| ~ spl0_145
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f27281,f17585,f4772,f18230]) ).
thf(f27288,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_342
| ~ spl0_427 ),
inference(constrained_superposition,[],[f25622,f18231]) ).
thf(f27295,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_342
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f27288]) ).
thf(f27387,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_142
| ~ spl0_291 ),
inference(constrained_superposition,[],[f25705,f17344]) ).
thf(f27388,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_142
| ~ spl0_185 ),
inference(constrained_superposition,[],[f25705,f18268]) ).
thf(f27389,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_142
| ~ spl0_336 ),
inference(constrained_superposition,[],[f25705,f18266]) ).
thf(f27390,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_142
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f27388]) ).
thf(f27392,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_142
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f27387]) ).
thf(f27393,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_142
| ~ spl0_336 ),
inference(duplicate_literal_removal,[],[f27389]) ).
thf(f27394,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_142
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f27393]) ).
thf(f27397,plain,
( spl0_47
| ~ spl0_142
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f27390,f8703,f4629,f691]) ).
thf(f27398,plain,
( spl0_374
| ~ spl0_142
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f27392,f17343,f4629,f19638]) ).
thf(f27399,plain,
( spl0_237
| ~ spl0_142
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f27394,f18082,f4629,f14073]) ).
thf(f27467,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f43,f4633]) ).
thf(f27474,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f27467]) ).
thf(f27540,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_33
| ~ spl0_333 ),
inference(constrained_superposition,[],[f428,f18992]) ).
thf(f27546,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_33
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f27540]) ).
thf(f27662,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_418 ),
inference(constrained_superposition,[],[f24319,f36]) ).
thf(f27667,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_143
| ~ spl0_418 ),
inference(constrained_superposition,[],[f24319,f4633]) ).
thf(f27671,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_418 ),
inference(trivial_inequality_removal,[],[f27662]) ).
thf(f27677,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_143
| ~ spl0_418 ),
inference(trivial_inequality_removal,[],[f27667]) ).
thf(f27687,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_295
| ~ spl0_306 ),
inference(constrained_superposition,[],[f17590,f17415]) ).
thf(f27693,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_295
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f27687]) ).
thf(f27706,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_295
| ~ spl0_306
| ~ spl0_342 ),
inference(constrained_superposition,[],[f27693,f18231]) ).
thf(f27709,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_295
| ~ spl0_306
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f27706]) ).
thf(f27718,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_295
| ~ spl0_306
| ~ spl0_342 ),
inference(constrained_superposition,[],[f27709,f28]) ).
thf(f27719,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_295
| ~ spl0_306
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f27718]) ).
thf(f27720,plain,
( spl0_405
| spl0_415
| ~ spl0_295
| ~ spl0_306
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f27719,f18230,f17589,f17414,f23549,f22487]) ).
thf(f27740,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_33
| ~ spl0_333 ),
inference(constrained_superposition,[],[f27546,f151]) ).
thf(f27746,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_33
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f27740]) ).
thf(f27749,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_33
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f27746,f172]) ).
thf(f27751,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_13
| ~ spl0_33
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f27749,f179]) ).
thf(f27754,plain,
( $false
| ~ spl0_11
| ~ spl0_13
| ~ spl0_33
| ~ spl0_295
| ~ spl0_306
| ~ spl0_333
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f27751,f27709]) ).
thf(f27755,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_33
| ~ spl0_295
| ~ spl0_306
| ~ spl0_333
| ~ spl0_342 ),
inference(avatar_contradiction_clause,[],[f27754]) ).
thf(f27756,plain,
( spl0_367
| ~ spl0_11
| ~ spl0_13
| ~ spl0_33
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f27751,f18068,f427,f178,f171,f19251]) ).
thf(f27779,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_138
| ~ spl0_307 ),
inference(constrained_superposition,[],[f5076,f17593]) ).
thf(f27792,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_138
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f27779]) ).
thf(f27800,plain,
( spl0_345
| spl0_302
| ~ spl0_138
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f27792,f17592,f4453,f17572,f18241]) ).
thf(f27805,plain,
( ~ spl0_107
| spl0_336
| ~ spl0_418 ),
inference(avatar_split_clause,[],[f27671,f24318,f18082,f2970]) ).
thf(f27807,plain,
( spl0_120
| ~ spl0_8
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f25918,f25621,f116,f3493]) ).
thf(f27816,plain,
( spl0_142
| spl0_382
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f27474,f4632,f20906,f4629]) ).
thf(f27817,plain,
( ~ spl0_364
| ~ spl0_342
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f27295,f25621,f18230,f18974]) ).
thf(f27823,plain,
( ~ spl0_41
| spl0_70
| ~ spl0_385 ),
inference(avatar_split_clause,[],[f27138,f21511,f2258,f579]) ).
thf(f27825,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f26,f606]) ).
thf(f27826,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f27825]) ).
thf(f27827,plain,
( spl0_366
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f27826,f605,f19145]) ).
thf(f27829,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_30
| ~ spl0_97 ),
inference(constrained_superposition,[],[f2821,f352]) ).
thf(f27830,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_30
| ~ spl0_104 ),
inference(constrained_superposition,[],[f2941,f352]) ).
thf(f27834,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_30
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f27829]) ).
thf(f27835,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_30
| ~ spl0_104 ),
inference(duplicate_literal_removal,[],[f27830]) ).
thf(f27836,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_30
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f27835]) ).
thf(f27838,plain,
( spl0_113
| ~ spl0_30
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f27834,f2820,f351,f3155]) ).
thf(f27839,plain,
( spl0_205
| ~ spl0_30
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f27836,f2940,f351,f10607]) ).
thf(f27844,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_84
| ~ spl0_90
| ~ spl0_97 ),
inference(constrained_superposition,[],[f25354,f2494]) ).
thf(f27848,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_84
| ~ spl0_90
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f27844]) ).
thf(f27853,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_30
| ~ spl0_84
| ~ spl0_90
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f27848,f352]) ).
thf(f27855,plain,
( $false
| ~ spl0_30
| ~ spl0_45
| ~ spl0_84
| ~ spl0_90
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f27853,f606]) ).
thf(f27856,plain,
( ~ spl0_30
| ~ spl0_45
| ~ spl0_84
| ~ spl0_90
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f27855]) ).
thf(f27972,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_98
| ~ spl0_295 ),
inference(constrained_superposition,[],[f2898,f17415]) ).
thf(f27977,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_98
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f27972]) ).
thf(f27983,plain,
( ~ spl0_316
| ~ spl0_98
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f27977,f17414,f2897,f17630]) ).
thf(f28015,plain,
( $false
| spl0_84
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f4639,f2514]) ).
thf(f28016,plain,
( spl0_84
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f28015]) ).
thf(f28017,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_36
| ~ spl0_145 ),
inference(constrained_superposition,[],[f27124,f500]) ).
thf(f28027,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_36
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f28017]) ).
thf(f28034,plain,
( spl0_73
| ~ spl0_36
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f28027,f4772,f499,f2269]) ).
thf(f28038,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_70
| ~ spl0_221 ),
inference(constrained_superposition,[],[f2259,f11437]) ).
thf(f28041,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_70
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f28038]) ).
thf(f28052,plain,
( spl0_84
| spl0_70
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f28041,f11436,f2258,f2493]) ).
thf(f28111,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_120 ),
inference(constrained_superposition,[],[f253,f3494]) ).
thf(f28123,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_120 ),
inference(trivial_inequality_removal,[],[f28111]) ).
thf(f28126,plain,
( $false
| ~ spl0_23
| ~ spl0_84
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f28123,f2494]) ).
thf(f28127,plain,
( ~ spl0_23
| ~ spl0_84
| ~ spl0_120 ),
inference(avatar_contradiction_clause,[],[f28126]) ).
thf(f28146,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_112
| ~ spl0_426 ),
inference(constrained_superposition,[],[f25395,f3066]) ).
thf(f28158,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_112
| ~ spl0_426 ),
inference(trivial_inequality_removal,[],[f28146]) ).
thf(f28163,plain,
( ~ spl0_107
| ~ spl0_112
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f28158,f25394,f3065,f2970]) ).
thf(f28180,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_90 ),
inference(constrained_superposition,[],[f246,f2639]) ).
thf(f28186,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_21
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f28180]) ).
thf(f28188,plain,
( $false
| ~ spl0_21
| ~ spl0_84
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f28186,f2494]) ).
thf(f28189,plain,
( ~ spl0_21
| ~ spl0_84
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f28188]) ).
thf(f28194,plain,
( spl0_90
| spl0_303
| spl0_111 ),
inference(avatar_split_clause,[],[f26000,f3061,f17576,f2638]) ).
thf(f28196,plain,
( ~ spl0_111
| ~ spl0_143
| ~ spl0_418 ),
inference(avatar_split_clause,[],[f27677,f24318,f4632,f3061]) ).
thf(f28246,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_112
| ~ spl0_136 ),
inference(constrained_superposition,[],[f4410,f3066]) ).
thf(f28251,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_112
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f28246]) ).
thf(f28252,plain,
( ~ spl0_388
| ~ spl0_112
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f28251,f4409,f3065,f21968]) ).
thf(f28274,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_144
| ~ spl0_414 ),
inference(constrained_superposition,[],[f4637,f23536]) ).
thf(f28277,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_144
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f28274]) ).
thf(f28280,plain,
( $false
| ~ spl0_144
| ~ spl0_336
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f28277,f18266]) ).
thf(f28281,plain,
( ~ spl0_144
| ~ spl0_336
| ~ spl0_414 ),
inference(avatar_contradiction_clause,[],[f28280]) ).
thf(f28284,plain,
( $false
| ~ spl0_36
| spl0_120 ),
inference(forward_subsumption_resolution,[],[f25638,f500]) ).
thf(f28285,plain,
( ~ spl0_36
| spl0_120 ),
inference(avatar_contradiction_clause,[],[f28284]) ).
thf(f28286,plain,
( $false
| ~ spl0_103
| spl0_311 ),
inference(forward_subsumption_resolution,[],[f17981,f2915]) ).
thf(f28287,plain,
( ~ spl0_103
| spl0_311 ),
inference(avatar_contradiction_clause,[],[f28286]) ).
thf(f28291,definition,
( spl0_436
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_436])],[avatar_definition]) ).
thf(f28292,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_436 ),
inference(avatar_component_clause,[],[f28291]) ).
thf(f28297,plain,
( ( $true != $true )
| ~ spl0_22
| ~ spl0_84 ),
inference(constrained_superposition,[],[f249,f2494]) ).
thf(f28298,plain,
( ( $true != $true )
| ~ spl0_22
| ~ spl0_320 ),
inference(constrained_superposition,[],[f249,f17648]) ).
thf(f28299,plain,
( $false
| ~ spl0_22
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f28298]) ).
thf(f28300,plain,
( ~ spl0_22
| ~ spl0_320 ),
inference(avatar_contradiction_clause,[],[f28299]) ).
thf(f28301,plain,
( $false
| ~ spl0_22
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f28297]) ).
thf(f28302,plain,
( ~ spl0_22
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f28301]) ).
thf(f28336,plain,
( $false
| ~ spl0_86
| spl0_311 ),
inference(forward_subsumption_resolution,[],[f17981,f2508]) ).
thf(f28337,plain,
( ~ spl0_86
| spl0_311 ),
inference(avatar_contradiction_clause,[],[f28336]) ).
thf(f28359,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_205 ),
inference(constrained_superposition,[],[f10608,f18268]) ).
thf(f28361,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_185
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f28359]) ).
thf(f28375,plain,
( ~ spl0_336
| ~ spl0_185
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f28361,f10607,f8703,f18082]) ).
thf(f28439,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_39
| ~ spl0_414 ),
inference(constrained_superposition,[],[f559,f23536]) ).
thf(f28440,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_39 ),
inference(constrained_superposition,[],[f559,f172]) ).
thf(f28443,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f28440]) ).
thf(f28445,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_39
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f28439]) ).
thf(f28449,plain,
( $false
| ~ spl0_11
| ~ spl0_39
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f28443,f606]) ).
thf(f28450,plain,
( ~ spl0_11
| ~ spl0_39
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f28449]) ).
thf(f28454,plain,
( ~ spl0_318
| ~ spl0_39
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f28445,f23535,f558,f17637]) ).
thf(f28458,plain,
( $false
| ~ spl0_25
| ~ spl0_80
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f264,f5078]) ).
thf(f28459,plain,
( ~ spl0_25
| ~ spl0_80
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f28458]) ).
thf(f28464,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_36
| ~ spl0_80 ),
inference(constrained_superposition,[],[f4860,f500]) ).
thf(f28468,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_80 ),
inference(duplicate_literal_removal,[],[f28464]) ).
thf(f28469,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_36
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f28468]) ).
thf(f28470,plain,
( spl0_115
| spl0_145
| ~ spl0_36
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f28469,f2432,f499,f4772,f3254]) ).
thf(f28498,plain,
( $false
| ~ spl0_36
| spl0_118 ),
inference(forward_subsumption_resolution,[],[f24981,f500]) ).
thf(f28499,plain,
( ~ spl0_36
| spl0_118 ),
inference(avatar_contradiction_clause,[],[f28498]) ).
thf(f28501,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_80
| ~ spl0_120 ),
inference(constrained_superposition,[],[f4860,f3494]) ).
thf(f28503,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_80
| ~ spl0_120 ),
inference(duplicate_literal_removal,[],[f28501]) ).
thf(f28504,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_80
| ~ spl0_120 ),
inference(trivial_inequality_removal,[],[f28503]) ).
thf(f28506,plain,
( spl0_145
| spl0_115
| ~ spl0_80
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f28504,f3493,f2432,f3254,f4772]) ).
thf(f28635,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f4027,f1944]) ).
thf(f28645,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f28635]) ).
thf(f28648,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_87
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f28645,f2514]) ).
thf(f28649,plain,
( spl0_73
| ~ spl0_87
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f28648,f4026,f2513,f2269]) ).
thf(f28663,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_417 ),
inference(constrained_superposition,[],[f24138,f150]) ).
thf(f28668,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_417 ),
inference(trivial_inequality_removal,[],[f28663]) ).
thf(f28672,plain,
( spl0_90
| ~ spl0_17
| ~ spl0_417 ),
inference(avatar_split_clause,[],[f28668,f24137,f217,f2638]) ).
thf(f28674,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_70
| ~ spl0_237 ),
inference(constrained_superposition,[],[f14074,f3896]) ).
thf(f28677,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_70
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f28674]) ).
thf(f28681,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true ) )
| ~ spl0_70
| ~ spl0_237 ),
inference(constrained_superposition,[],[f28677,f1944]) ).
thf(f28691,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_70
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f28681]) ).
thf(f28694,plain,
( spl0_69
| ~ spl0_70
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f28691,f14073,f2258,f2255]) ).
thf(f28736,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_83
| ~ spl0_289 ),
inference(constrained_superposition,[],[f2491,f17337]) ).
thf(f28740,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_83
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f28736]) ).
thf(f28745,plain,
( $false
| ~ spl0_83
| ~ spl0_289
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f28740,f17638]) ).
thf(f28746,plain,
( ~ spl0_83
| ~ spl0_289
| ~ spl0_318 ),
inference(avatar_contradiction_clause,[],[f28745]) ).
thf(f28763,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_112
| ~ spl0_153 ),
inference(constrained_superposition,[],[f5375,f3066]) ).
thf(f28767,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_112
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f28763]) ).
thf(f28769,plain,
( $false
| ~ spl0_111
| ~ spl0_112
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f28767,f3062]) ).
thf(f28770,plain,
( ~ spl0_111
| ~ spl0_112
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f28769]) ).
thf(f28779,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_97 ),
inference(constrained_superposition,[],[f2821,f264]) ).
thf(f28783,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f26,f264]) ).
thf(f28785,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f28783]) ).
thf(f28791,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_97 ),
inference(duplicate_literal_removal,[],[f28779]) ).
thf(f28792,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f28791]) ).
thf(f28794,plain,
( spl0_209
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f28785,f263,f10638]) ).
thf(f28795,plain,
( spl0_94
| ~ spl0_25
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f28792,f2820,f263,f2728]) ).
thf(f28796,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_80 ),
inference(constrained_superposition,[],[f4626,f37]) ).
thf(f28797,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_80 ),
inference(trivial_inequality_removal,[],[f28796]) ).
thf(f28798,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_80 ),
inference(forward_subsumption_resolution,[],[f28797,f31]) ).
thf(f28870,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_138
| ~ spl0_185 ),
inference(constrained_superposition,[],[f5076,f18268]) ).
thf(f28872,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_94
| ~ spl0_185 ),
inference(constrained_superposition,[],[f2729,f18268]) ).
thf(f28881,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_138
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f28870]) ).
thf(f28883,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_94
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f28872]) ).
thf(f28888,plain,
( spl0_290
| spl0_303
| ~ spl0_138
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f28881,f8703,f4453,f17576,f17339]) ).
thf(f28889,plain,
( $false
| ~ spl0_94
| ~ spl0_185
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f28883,f17638]) ).
thf(f28890,plain,
( ~ spl0_94
| ~ spl0_185
| ~ spl0_318 ),
inference(avatar_contradiction_clause,[],[f28889]) ).
thf(f28897,definition,
( spl0_437
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_437])],[avatar_definition]) ).
thf(f28898,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_437 ),
inference(avatar_component_clause,[],[f28897]) ).
thf(f28924,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_237
| ~ spl0_336 ),
inference(constrained_superposition,[],[f14074,f18266]) ).
thf(f28926,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_237
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f28924]) ).
thf(f28956,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_136
| ~ spl0_354 ),
inference(constrained_superposition,[],[f4410,f18575]) ).
thf(f28968,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_136
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f28956]) ).
thf(f28977,plain,
( ~ spl0_316
| ~ spl0_136
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f28968,f18574,f4409,f17630]) ).
thf(f29001,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f559,f151]) ).
thf(f29003,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f29001]) ).
thf(f29037,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_237
| ~ spl0_293
| ~ spl0_336 ),
inference(constrained_superposition,[],[f28926,f17351]) ).
thf(f29041,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_237
| ~ spl0_293
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f29037]) ).
thf(f29047,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_345 ),
inference(constrained_superposition,[],[f43,f18242]) ).
thf(f29049,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_345 ),
inference(constrained_superposition,[],[f63,f18242]) ).
thf(f29057,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f29047]) ).
thf(f29059,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f29049]) ).
thf(f29062,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_80
| ~ spl0_345 ),
inference(forward_subsumption_resolution,[],[f29059,f28798]) ).
thf(f29098,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_318
| ~ spl0_323 ),
inference(constrained_superposition,[],[f17993,f17638]) ).
thf(f29110,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_318
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f29098]) ).
thf(f29111,plain,
( $false
| ~ spl0_25
| ~ spl0_318
| ~ spl0_323 ),
inference(forward_subsumption_resolution,[],[f29110,f264]) ).
thf(f29112,plain,
( ~ spl0_25
| ~ spl0_318
| ~ spl0_323 ),
inference(avatar_contradiction_clause,[],[f29111]) ).
thf(f29117,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_187 ),
inference(constrained_superposition,[],[f8737,f18268]) ).
thf(f29119,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_185
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f29117]) ).
thf(f29125,plain,
( $false
| ~ spl0_25
| ~ spl0_185
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f29119,f264]) ).
thf(f29126,plain,
( ~ spl0_25
| ~ spl0_185
| ~ spl0_187 ),
inference(avatar_contradiction_clause,[],[f29125]) ).
thf(f29133,plain,
( ~ spl0_311
| ~ spl0_237
| ~ spl0_293
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f29041,f18082,f17350,f14073,f17607]) ).
thf(f29140,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_86
| ~ spl0_237 ),
inference(constrained_superposition,[],[f14074,f2508]) ).
thf(f29143,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_86
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f29140]) ).
thf(f29154,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_70
| ~ spl0_120
| ~ spl0_237 ),
inference(constrained_superposition,[],[f28677,f3494]) ).
thf(f29157,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_70
| ~ spl0_120
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f29154]) ).
thf(f29206,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_86
| ~ spl0_237 ),
inference(constrained_superposition,[],[f29143,f1944]) ).
thf(f29219,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_86
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f29206]) ).
thf(f29221,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_86
| ~ spl0_237 ),
inference(forward_subsumption_resolution,[],[f29219,f2508]) ).
thf(f29222,plain,
( spl0_73
| ~ spl0_86
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f29221,f14073,f2507,f2269]) ).
thf(f29223,plain,
( spl0_106
| spl0_333
| spl0_80
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f29062,f18241,f2432,f18068,f2965]) ).
thf(f29288,definition,
( spl0_438
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_438])],[avatar_definition]) ).
thf(f29289,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_438 ),
inference(avatar_component_clause,[],[f29288]) ).
thf(f29332,definition,
( spl0_439
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_439])],[avatar_definition]) ).
thf(f29333,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_439 ),
inference(avatar_component_clause,[],[f29332]) ).
thf(f29341,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_84
| ~ spl0_145 ),
inference(constrained_superposition,[],[f4773,f2494]) ).
thf(f29342,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_84
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f29341]) ).
thf(f29469,plain,
( ~ spl0_1
| ~ spl0_70
| ~ spl0_120
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f29157,f14073,f3493,f2258,f67]) ).
thf(f29470,plain,
( ~ spl0_1
| ~ spl0_84
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f29342,f4772,f2493,f67]) ).
thf(f29476,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_30 ),
inference(avatar_component_clause,[],[f351]) ).
thf(f29488,definition,
( spl0_440
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_440])],[avatar_definition]) ).
thf(f29489,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_440 ),
inference(avatar_component_clause,[],[f29488]) ).
thf(f29490,plain,
( spl0_84
| spl0_440
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f29057,f18241,f29488,f2493]) ).
thf(f29492,definition,
( spl0_441
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_441])],[avatar_definition]) ).
thf(f29493,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_441 ),
inference(avatar_component_clause,[],[f29492]) ).
thf(f29496,definition,
( spl0_442
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_442])],[avatar_definition]) ).
thf(f29497,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_442 ),
inference(avatar_component_clause,[],[f29496]) ).
thf(f29499,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f26,f68]) ).
thf(f29500,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f29499]) ).
thf(f29516,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_107 ),
inference(constrained_superposition,[],[f2971,f36]) ).
thf(f29518,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_107 ),
inference(trivial_inequality_removal,[],[f29516]) ).
thf(f29602,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(constrained_superposition,[],[f18069,f37]) ).
thf(f29603,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(trivial_inequality_removal,[],[f29602]) ).
thf(f29604,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(forward_subsumption_resolution,[],[f29603,f31]) ).
thf(f29652,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) )
| ~ spl0_73
| ~ spl0_131 ),
inference(constrained_superposition,[],[f3980,f2270]) ).
thf(f29656,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ~ spl0_73
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f29652]) ).
thf(f29665,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_145
| ~ spl0_156 ),
inference(constrained_superposition,[],[f4773,f24424]) ).
thf(f29666,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_145 ),
inference(constrained_superposition,[],[f4773,f151]) ).
thf(f29674,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f29666]) ).
thf(f29676,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_145
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f29665]) ).
thf(f29677,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_25 ),
inference(avatar_component_clause,[],[f263]) ).
thf(f29678,plain,
( ~ spl0_25
| spl0_112
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f29674,f4772,f3065,f263]) ).
thf(f29679,plain,
( ~ spl0_25
| ~ spl0_145
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f29676,f5524,f4772,f263]) ).
thf(f29680,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_25 ),
inference(constrained_superposition,[],[f29677,f37]) ).
thf(f29681,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_25 ),
inference(trivial_inequality_removal,[],[f29680]) ).
thf(f29682,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f29681,f31]) ).
thf(f29684,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_25
| ~ spl0_27 ),
inference(constrained_superposition,[],[f279,f29682]) ).
thf(f29692,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_25
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f29684]) ).
thf(f29697,plain,
( ~ spl0_17
| spl0_25
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f29692,f278,f263,f217]) ).
thf(f29700,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_7
| spl0_25 ),
inference(constrained_superposition,[],[f114,f29682]) ).
thf(f29703,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_7
| spl0_25 ),
inference(trivial_inequality_removal,[],[f29700]) ).
thf(f29706,plain,
( spl0_109
| ~ spl0_7
| spl0_25 ),
inference(avatar_split_clause,[],[f29703,f263,f113,f3030]) ).
thf(f29709,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_4
| spl0_25 ),
inference(constrained_superposition,[],[f87,f29682]) ).
thf(f29713,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_4
| spl0_25 ),
inference(trivial_inequality_removal,[],[f29709]) ).
thf(f29716,plain,
( spl0_136
| ~ spl0_4
| spl0_25 ),
inference(avatar_split_clause,[],[f29713,f263,f86,f4409]) ).
thf(f29816,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_113
| ~ spl0_185 ),
inference(constrained_superposition,[],[f3156,f18268]) ).
thf(f29824,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_113
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f29816]) ).
thf(f29868,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f18022,f1944]) ).
thf(f29879,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f29868]) ).
thf(f29918,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_106 ),
inference(constrained_superposition,[],[f2966,f36]) ).
thf(f29919,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_80
| ~ spl0_106 ),
inference(constrained_superposition,[],[f2966,f28798]) ).
thf(f29924,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_106 ),
inference(constrained_superposition,[],[f2966,f150]) ).
thf(f29927,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f29918]) ).
thf(f29930,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_80
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f29919]) ).
thf(f29933,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f29924]) ).
thf(f29937,plain,
( spl0_52
| spl0_90
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f29933,f2965,f2638,f929]) ).
thf(f30013,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f12402,f55]) ).
thf(f30015,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f30013]) ).
thf(f30021,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_381 ),
inference(constrained_superposition,[],[f20512,f36]) ).
thf(f30024,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_381 ),
inference(constrained_superposition,[],[f20512,f54]) ).
thf(f30032,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f30021]) ).
thf(f30035,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f30024]) ).
thf(f30067,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| spl0_333
| ~ spl0_416 ),
inference(constrained_superposition,[],[f24095,f29604]) ).
thf(f30081,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_333
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f30067]) ).
thf(f30118,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_29
| ~ spl0_185 ),
inference(constrained_superposition,[],[f325,f18268]) ).
thf(f30125,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_29
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f30118]) ).
thf(f30131,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_295
| ~ spl0_441 ),
inference(constrained_superposition,[],[f29493,f17415]) ).
thf(f30141,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_295
| ~ spl0_441 ),
inference(trivial_inequality_removal,[],[f30131]) ).
thf(f30144,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_120
| ~ spl0_366 ),
inference(constrained_superposition,[],[f19146,f3494]) ).
thf(f30145,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_118
| ~ spl0_366 ),
inference(constrained_superposition,[],[f19146,f3487]) ).
thf(f30147,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_1
| ~ spl0_366 ),
inference(constrained_superposition,[],[f19146,f68]) ).
thf(f30149,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_118
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f30145]) ).
thf(f30150,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_120
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f30144]) ).
thf(f30152,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_366 ),
inference(duplicate_literal_removal,[],[f30147]) ).
thf(f30153,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_1
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f30152]) ).
thf(f30154,plain,
( spl0_376
| ~ spl0_118
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f30149,f19145,f3486,f19757]) ).
thf(f30155,plain,
( spl0_240
| ~ spl0_120
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f30150,f19145,f3493,f14086]) ).
thf(f30156,plain,
( spl0_237
| ~ spl0_1
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f30153,f19145,f67,f14073]) ).
thf(f30184,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_13 ),
inference(constrained_superposition,[],[f29500,f179]) ).
thf(f30187,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f30184]) ).
thf(f30188,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_185 ),
inference(constrained_superposition,[],[f30187,f18268]) ).
thf(f30195,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f30188]) ).
thf(f30202,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_156
| ~ spl0_242 ),
inference(constrained_superposition,[],[f14607,f24424]) ).
thf(f30206,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_156
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f30202]) ).
thf(f30208,plain,
( spl0_240
| ~ spl0_156
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f30206,f14606,f5524,f14086]) ).
thf(f30349,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_295
| ~ spl0_360 ),
inference(constrained_superposition,[],[f18802,f17415]) ).
thf(f30360,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_295
| ~ spl0_360 ),
inference(duplicate_literal_removal,[],[f30349]) ).
thf(f30361,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_295
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f30360]) ).
thf(f30368,plain,
( spl0_427
| ~ spl0_295
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f30361,f18801,f17414,f25621]) ).
thf(f30389,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_413 ),
inference(constrained_superposition,[],[f23262,f55]) ).
thf(f30395,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f30389]) ).
thf(f30400,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_438 ),
inference(constrained_superposition,[],[f29289,f54]) ).
thf(f30401,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_295
| ~ spl0_438 ),
inference(constrained_superposition,[],[f29289,f17415]) ).
thf(f30403,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_292
| ~ spl0_438 ),
inference(constrained_superposition,[],[f29289,f17347]) ).
thf(f30412,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_295
| ~ spl0_438 ),
inference(trivial_inequality_removal,[],[f30401]) ).
thf(f30413,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_292
| ~ spl0_438 ),
inference(trivial_inequality_removal,[],[f30403]) ).
thf(f30418,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_438 ),
inference(duplicate_literal_removal,[],[f30400]) ).
thf(f30419,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_438 ),
inference(trivial_inequality_removal,[],[f30418]) ).
thf(f30422,plain,
( spl0_199
| ~ spl0_295
| ~ spl0_438 ),
inference(avatar_split_clause,[],[f30412,f29288,f17414,f9935]) ).
thf(f30423,plain,
( spl0_300
| ~ spl0_292
| ~ spl0_438 ),
inference(avatar_split_clause,[],[f30413,f29288,f17346,f17564]) ).
thf(f30426,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_318
| ~ spl0_438 ),
inference(forward_subsumption_resolution,[],[f30419,f17974]) ).
thf(f30427,plain,
( spl0_150
| spl0_318
| ~ spl0_438 ),
inference(avatar_split_clause,[],[f30426,f29288,f17637,f5237]) ).
thf(f30483,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_13
| ~ spl0_209 ),
inference(constrained_superposition,[],[f10639,f179]) ).
thf(f30486,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_156
| ~ spl0_209 ),
inference(constrained_superposition,[],[f10639,f24424]) ).
thf(f30488,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_13
| ~ spl0_209 ),
inference(duplicate_literal_removal,[],[f30483]) ).
thf(f30489,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_13
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f30488]) ).
thf(f30493,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_156
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f30486]) ).
thf(f30495,plain,
( spl0_222
| ~ spl0_13
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f30489,f10638,f178,f11439]) ).
thf(f30498,plain,
( spl0_71
| ~ spl0_156
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f30493,f10638,f5524,f2262]) ).
thf(f30618,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_411 ),
inference(constrained_superposition,[],[f23227,f35]) ).
thf(f30621,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_290
| ~ spl0_411 ),
inference(constrained_superposition,[],[f23227,f17340]) ).
thf(f30623,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_290
| ~ spl0_411 ),
inference(duplicate_literal_removal,[],[f30621]) ).
thf(f30624,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_290
| ~ spl0_411 ),
inference(trivial_inequality_removal,[],[f30623]) ).
thf(f30627,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_411 ),
inference(trivial_inequality_removal,[],[f30618]) ).
thf(f30630,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| spl0_80
| ~ spl0_290
| ~ spl0_411 ),
inference(forward_subsumption_resolution,[],[f30624,f28798]) ).
thf(f30631,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_142
| ~ spl0_411 ),
inference(forward_subsumption_resolution,[],[f30627,f4630]) ).
thf(f30633,plain,
( spl0_431
| spl0_80
| ~ spl0_290
| ~ spl0_411 ),
inference(avatar_split_clause,[],[f30630,f23226,f17339,f2432,f25649]) ).
thf(f30634,plain,
( spl0_417
| ~ spl0_3
| spl0_142
| ~ spl0_411 ),
inference(avatar_split_clause,[],[f30631,f23226,f4629,f83,f24137]) ).
thf(f30685,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_294
| ~ spl0_439 ),
inference(constrained_superposition,[],[f29333,f17354]) ).
thf(f30694,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_294
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f30685]) ).
thf(f30705,plain,
( spl0_390
| ~ spl0_294
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f30694,f29332,f17353,f21978]) ).
thf(f30761,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_111
| ~ spl0_152 ),
inference(constrained_superposition,[],[f5309,f3062]) ).
thf(f30767,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_111
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f30761]) ).
thf(f30772,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_80
| ~ spl0_111
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f30767,f28798]) ).
thf(f30774,plain,
( spl0_417
| spl0_80
| ~ spl0_111
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f30772,f5308,f3061,f2432,f24137]) ).
thf(f30776,plain,
( spl0_186
| ~ spl0_318
| ~ spl0_29
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f30125,f8703,f324,f17637,f8733]) ).
thf(f30777,plain,
( spl0_336
| spl0_56
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f30032,f20511,f943,f18082]) ).
thf(f30778,plain,
( spl0_189
| ~ spl0_318
| ~ spl0_1
| ~ spl0_13
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f30195,f8703,f178,f67,f17637,f8766]) ).
thf(f30780,plain,
( spl0_54
| spl0_318
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f30035,f20511,f17637,f936]) ).
thf(f30781,plain,
( $false
| ~ spl0_68
| ~ spl0_73
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f18271,f29656]) ).
thf(f30782,plain,
( ~ spl0_68
| ~ spl0_73
| ~ spl0_131 ),
inference(avatar_contradiction_clause,[],[f30781]) ).
thf(f30787,plain,
( spl0_397
| ~ spl0_301
| ~ spl0_295
| ~ spl0_441 ),
inference(avatar_split_clause,[],[f30141,f29492,f17414,f17569,f22330]) ).
thf(f30788,plain,
( ~ spl0_336
| ~ spl0_318
| ~ spl0_113
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f29824,f8703,f3155,f17637,f18082]) ).
thf(f30796,plain,
( spl0_54
| spl0_333
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f30081,f24094,f18068,f936]) ).
thf(f30797,plain,
( spl0_70
| spl0_56
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f29927,f2965,f943,f2258]) ).
thf(f30799,plain,
( spl0_54
| spl0_80
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f29930,f2965,f2432,f936]) ).
thf(f30800,plain,
( spl0_70
| spl0_107 ),
inference(avatar_split_clause,[],[f29518,f2970,f2258]) ).
thf(f30823,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_29
| ~ spl0_30 ),
inference(constrained_superposition,[],[f325,f352]) ).
thf(f30824,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_30
| ~ spl0_57 ),
inference(constrained_superposition,[],[f970,f352]) ).
thf(f30827,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_30 ),
inference(constrained_superposition,[],[f30187,f352]) ).
thf(f30829,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_29
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f30823]) ).
thf(f30831,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_30 ),
inference(duplicate_literal_removal,[],[f30827]) ).
thf(f30832,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f30831]) ).
thf(f30833,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_30
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f30824]) ).
thf(f30837,definition,
( spl0_443
<=> ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_443])],[avatar_definition]) ).
thf(f30838,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_443 ),
inference(avatar_component_clause,[],[f30837]) ).
thf(f30839,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| spl0_45 ),
inference(avatar_component_clause,[],[f605]) ).
thf(f30840,plain,
( spl0_443
| ~ spl0_45
| ~ spl0_29
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f30829,f351,f324,f605,f30837]) ).
thf(f30841,plain,
( ~ spl0_45
| spl0_22
| ~ spl0_1
| ~ spl0_13
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f30832,f351,f178,f67,f248,f605]) ).
thf(f30842,plain,
( spl0_205
| ~ spl0_30
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f30833,f969,f351,f10607]) ).
thf(f30846,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_70 ),
inference(constrained_superposition,[],[f26,f3896]) ).
thf(f30847,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f30846]) ).
thf(f30876,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_38
| ~ spl0_383 ),
inference(constrained_superposition,[],[f20911,f556]) ).
thf(f30902,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_38
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f30876]) ).
thf(f30915,plain,
( ~ spl0_41
| spl0_170
| ~ spl0_38
| ~ spl0_383 ),
inference(avatar_split_clause,[],[f30902,f20910,f555,f7030,f579]) ).
thf(f30917,definition,
( spl0_444
<=> ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_444])],[avatar_definition]) ).
thf(f30918,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_444 ),
inference(avatar_component_clause,[],[f30917]) ).
thf(f30962,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_27
| ~ spl0_68 ),
inference(constrained_superposition,[],[f279,f18271]) ).
thf(f30972,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f27,f18271]) ).
thf(f30974,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_27
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f30962]) ).
thf(f30983,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f30972]) ).
thf(f30986,plain,
( ~ spl0_316
| ~ spl0_27
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f30974,f2203,f278,f17630]) ).
thf(f31067,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_90 ),
inference(avatar_component_clause,[],[f2638]) ).
thf(f31068,plain,
( spl0_342
| ~ spl0_90
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f29879,f18021,f2638,f18230]) ).
thf(f31069,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_39
| ~ spl0_318 ),
inference(constrained_superposition,[],[f29003,f17638]) ).
thf(f31073,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_63
| ~ spl0_318 ),
inference(constrained_superposition,[],[f2107,f17638]) ).
thf(f31077,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_63
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f31073]) ).
thf(f31080,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_39
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f31069]) ).
thf(f31081,plain,
( spl0_354
| ~ spl0_39
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f31080,f17637,f558,f18574]) ).
thf(f31139,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_74
| ~ spl0_156 ),
inference(constrained_superposition,[],[f2368,f24424]) ).
thf(f31143,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_74
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f31139]) ).
thf(f31145,plain,
( $false
| ~ spl0_74
| ~ spl0_120
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f31143,f3494]) ).
thf(f31146,plain,
( ~ spl0_74
| ~ spl0_120
| ~ spl0_156 ),
inference(avatar_contradiction_clause,[],[f31145]) ).
thf(f31147,plain,
( ~ spl0_336
| spl0_337
| ~ spl0_63
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f31077,f17637,f2106,f18085,f18082]) ).
thf(f31189,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_443 ),
inference(constrained_superposition,[],[f30838,f179]) ).
thf(f31198,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_13
| ~ spl0_443 ),
inference(trivial_inequality_removal,[],[f31189]) ).
thf(f31199,plain,
( $false
| ~ spl0_13
| ~ spl0_30
| ~ spl0_443 ),
inference(forward_subsumption_resolution,[],[f31198,f352]) ).
thf(f31200,plain,
( ~ spl0_13
| ~ spl0_30
| ~ spl0_443 ),
inference(avatar_contradiction_clause,[],[f31199]) ).
thf(f31205,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_112
| ~ spl0_442 ),
inference(constrained_superposition,[],[f29497,f3066]) ).
thf(f31206,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_112
| ~ spl0_441 ),
inference(constrained_superposition,[],[f29493,f3066]) ).
thf(f31214,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_112
| ~ spl0_441 ),
inference(trivial_inequality_removal,[],[f31206]) ).
thf(f31222,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_112
| ~ spl0_442 ),
inference(duplicate_literal_removal,[],[f31205]) ).
thf(f31223,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_112
| ~ spl0_442 ),
inference(trivial_inequality_removal,[],[f31222]) ).
thf(f31226,plain,
( ~ spl0_41
| spl0_170
| ~ spl0_112
| ~ spl0_441 ),
inference(avatar_split_clause,[],[f31214,f29492,f3065,f7030,f579]) ).
thf(f31229,plain,
( ~ spl0_41
| spl0_444
| ~ spl0_112
| ~ spl0_442 ),
inference(avatar_split_clause,[],[f31223,f29496,f3065,f30917,f579]) ).
thf(f31230,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_444 ),
inference(constrained_superposition,[],[f30918,f36]) ).
thf(f31232,plain,
( ( $true != $true )
| ~ spl0_112
| ~ spl0_444 ),
inference(constrained_superposition,[],[f30918,f3066]) ).
thf(f31235,plain,
( $false
| ~ spl0_112
| ~ spl0_444 ),
inference(trivial_inequality_removal,[],[f31232]) ).
thf(f31236,plain,
( ~ spl0_112
| ~ spl0_444 ),
inference(avatar_contradiction_clause,[],[f31235]) ).
thf(f31237,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_444 ),
inference(trivial_inequality_removal,[],[f31230]) ).
thf(f31239,plain,
( $false
| spl0_11
| ~ spl0_444 ),
inference(forward_subsumption_resolution,[],[f31237,f497]) ).
thf(f31240,plain,
( spl0_11
| ~ spl0_444 ),
inference(avatar_contradiction_clause,[],[f31239]) ).
thf(f31242,plain,
( spl0_204
| spl0_118
| ~ spl0_8
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f30395,f23261,f116,f3486,f10196]) ).
thf(f31243,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_25
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f30015,f29682]) ).
thf(f31245,plain,
( ~ spl0_8
| spl0_120
| spl0_25
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f31243,f12401,f263,f3493,f116]) ).
thf(f31299,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_13
| ~ spl0_90 ),
inference(constrained_superposition,[],[f2551,f2639]) ).
thf(f31300,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_90 ),
inference(constrained_superposition,[],[f26,f2639]) ).
thf(f31303,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f31300]) ).
thf(f31304,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_13
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f31299]) ).
thf(f31306,plain,
( spl0_137
| spl0_138
| ~ spl0_13
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f31304,f2638,f178,f4453,f4450]) ).
thf(f31330,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_354
| ~ spl0_413 ),
inference(constrained_superposition,[],[f23262,f18575]) ).
thf(f31337,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_354
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f31330]) ).
thf(f31346,plain,
( ~ spl0_41
| spl0_385
| ~ spl0_354
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f31337,f23261,f18574,f21511,f579]) ).
thf(f31410,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1
| ~ spl0_237 ),
inference(constrained_superposition,[],[f14074,f68]) ).
thf(f31413,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f31410]) ).
thf(f31416,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_237
| ~ spl0_333 ),
inference(constrained_superposition,[],[f31413,f18992]) ).
thf(f31419,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_237
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f31416]) ).
thf(f31426,plain,
( ~ spl0_311
| ~ spl0_1
| ~ spl0_237
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f31419,f18068,f14073,f67,f17607]) ).
thf(f31491,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_189
| ~ spl0_318 ),
inference(constrained_superposition,[],[f8767,f17638]) ).
thf(f31496,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_189
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f31491]) ).
thf(f31500,plain,
( $false
| ~ spl0_45
| ~ spl0_189
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f31496,f606]) ).
thf(f31501,plain,
( ~ spl0_45
| ~ spl0_189
| ~ spl0_318 ),
inference(avatar_contradiction_clause,[],[f31500]) ).
thf(f31506,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f2912,f28]) ).
thf(f31507,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f31506]) ).
thf(f31510,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_60 ),
inference(constrained_superposition,[],[f1990,f28]) ).
thf(f31512,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_60 ),
inference(trivial_inequality_removal,[],[f31510]) ).
thf(f31515,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_60
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[],[f31512,f3255]) ).
thf(f31516,plain,
( spl0_119
| spl0_60
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f31515,f3254,f1989,f3490]) ).
thf(f31518,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_120 ),
inference(constrained_superposition,[],[f143,f3494]) ).
thf(f31521,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_9
| ~ spl0_120 ),
inference(trivial_inequality_removal,[],[f31518]) ).
thf(f31522,plain,
( $false
| ~ spl0_9
| ~ spl0_70
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f31521,f3896]) ).
thf(f31523,plain,
( ~ spl0_9
| ~ spl0_70
| ~ spl0_120 ),
inference(avatar_contradiction_clause,[],[f31522]) ).
thf(f31525,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f26,f2433]) ).
thf(f31527,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f31525]) ).
thf(f31529,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f253,f37]) ).
thf(f31531,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( z = X0 )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f31529]) ).
thf(f31541,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_101
| ~ spl0_183 ),
inference(constrained_superposition,[],[f2908,f8685]) ).
thf(f31550,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_101
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f31541]) ).
thf(f31553,definition,
( spl0_445
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_445])],[avatar_definition]) ).
thf(f31554,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_445 ),
inference(avatar_component_clause,[],[f31553]) ).
thf(f31557,plain,
( ~ spl0_316
| ~ spl0_101
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f31550,f8684,f2907,f17630]) ).
thf(f31577,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f31507,f28]) ).
thf(f31580,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_102 ),
inference(duplicate_literal_removal,[],[f31577]) ).
thf(f31581,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f31580]) ).
thf(f31624,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_170 ),
inference(constrained_superposition,[],[f7031,f36]) ).
thf(f31630,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f31624]) ).
thf(f31632,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_11
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[],[f31630,f497]) ).
thf(f31633,plain,
( ~ spl0_8
| spl0_11
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f31632,f7030,f171,f116]) ).
thf(f31685,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_7
| ~ spl0_68 ),
inference(constrained_superposition,[],[f114,f18271]) ).
thf(f31693,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_7
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f31685]) ).
thf(f31724,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_186 ),
inference(constrained_superposition,[],[f8734,f18268]) ).
thf(f31727,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_185
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f31724]) ).
thf(f31730,plain,
( $false
| ~ spl0_13
| ~ spl0_185
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f31727,f179]) ).
thf(f31731,plain,
( ~ spl0_13
| ~ spl0_185
| ~ spl0_186 ),
inference(avatar_contradiction_clause,[],[f31730]) ).
thf(f31735,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f8737,f1944]) ).
thf(f31739,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f31735]) ).
thf(f31744,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_315
| ~ spl0_342 ),
inference(constrained_superposition,[],[f17628,f18231]) ).
thf(f31751,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_315
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f31744]) ).
thf(f31754,plain,
( ~ spl0_388
| ~ spl0_315
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f31751,f18230,f17627,f21968]) ).
thf(f31766,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_329
| ~ spl0_333 ),
inference(constrained_superposition,[],[f18025,f18992]) ).
thf(f31770,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_329
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f31766]) ).
thf(f31775,plain,
( $false
| ~ spl0_45
| ~ spl0_329
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f31770,f606]) ).
thf(f31776,plain,
( ~ spl0_45
| ~ spl0_329
| ~ spl0_333 ),
inference(avatar_contradiction_clause,[],[f31775]) ).
thf(f31777,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f22331,f36]) ).
thf(f31783,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f31777]) ).
thf(f31789,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_336
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f31783,f18083]) ).
thf(f31790,plain,
( ~ spl0_8
| spl0_336
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f31789,f22330,f18082,f116]) ).
thf(f31802,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_291
| ~ spl0_337 ),
inference(constrained_superposition,[],[f18086,f17344]) ).
thf(f31807,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_291
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f31802]) ).
thf(f31841,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_293
| ~ spl0_328 ),
inference(constrained_superposition,[],[f18022,f17351]) ).
thf(f31843,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_293
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f31841]) ).
thf(f31849,plain,
( $false
| ~ spl0_185
| ~ spl0_293
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f31843,f18268]) ).
thf(f31850,plain,
( ~ spl0_185
| ~ spl0_293
| ~ spl0_328 ),
inference(avatar_contradiction_clause,[],[f31849]) ).
thf(f31863,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_57
| ~ spl0_185 ),
inference(constrained_superposition,[],[f970,f18268]) ).
thf(f31869,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_57
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f31863]) ).
thf(f31884,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_57
| ~ spl0_185
| ~ spl0_293 ),
inference(constrained_superposition,[],[f31869,f17351]) ).
thf(f31885,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_57
| ~ spl0_185
| ~ spl0_289 ),
inference(constrained_superposition,[],[f31869,f17337]) ).
thf(f31889,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_57
| ~ spl0_185
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f31885]) ).
thf(f31891,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_57
| ~ spl0_185
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f31884]) ).
thf(f31893,plain,
( $false
| ~ spl0_57
| ~ spl0_90
| ~ spl0_185
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f31889,f2639]) ).
thf(f31894,plain,
( ~ spl0_57
| ~ spl0_90
| ~ spl0_185
| ~ spl0_289 ),
inference(avatar_contradiction_clause,[],[f31893]) ).
thf(f31895,plain,
( $false
| ~ spl0_57
| ~ spl0_185
| ~ spl0_293
| ~ spl0_307 ),
inference(forward_subsumption_resolution,[],[f31891,f17593]) ).
thf(f31896,plain,
( ~ spl0_57
| ~ spl0_185
| ~ spl0_293
| ~ spl0_307 ),
inference(avatar_contradiction_clause,[],[f31895]) ).
thf(f31897,plain,
( ~ spl0_311
| ~ spl0_291
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f31807,f18085,f17343,f17607]) ).
thf(f31952,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_68
| ~ spl0_354 ),
inference(constrained_superposition,[],[f31693,f18575]) ).
thf(f31961,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_68
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f31952]) ).
thf(f31968,plain,
( ~ spl0_17
| ~ spl0_7
| ~ spl0_68
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f31961,f18574,f2203,f113,f217]) ).
thf(f31998,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_112
| ~ spl0_427 ),
inference(constrained_superposition,[],[f25622,f3066]) ).
thf(f32000,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_112
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f31998]) ).
thf(f32007,plain,
( ~ spl0_41
| ~ spl0_112
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f32000,f25621,f3065,f579]) ).
thf(f32026,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_27
| ~ spl0_304 ),
inference(constrained_superposition,[],[f279,f22504]) ).
thf(f32033,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_27
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f32026]) ).
thf(f32034,plain,
( ~ spl0_308
| ~ spl0_27
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f32033,f17579,f278,f17596]) ).
thf(f32080,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_110
| ~ spl0_289 ),
inference(constrained_superposition,[],[f3059,f17337]) ).
thf(f32083,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f2246,f17337]) ).
thf(f32086,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_110
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f32080]) ).
thf(f32088,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f32083]) ).
thf(f32092,plain,
( ~ spl0_120
| spl0_295
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f31739,f8736,f17414,f3493]) ).
thf(f32094,plain,
( spl0_295
| spl0_296
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f32088,f17336,f17417,f17414]) ).
thf(f32095,plain,
( ~ spl0_336
| ~ spl0_110
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f32086,f17336,f3058,f18082]) ).
thf(f32115,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_98
| ~ spl0_342 ),
inference(constrained_superposition,[],[f2898,f18231]) ).
thf(f32125,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_98
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f32115]) ).
thf(f32206,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_102
| spl0_142 ),
inference(constrained_superposition,[],[f4630,f31581]) ).
thf(f32218,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_102
| spl0_142 ),
inference(trivial_inequality_removal,[],[f32206]) ).
thf(f32227,plain,
( ~ spl0_308
| ~ spl0_98
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f32125,f18230,f2897,f17596]) ).
thf(f32228,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_102
| spl0_142 ),
inference(forward_subsumption_resolution,[],[f32218,f31]) ).
thf(f32229,plain,
( spl0_336
| ~ spl0_102
| spl0_142 ),
inference(avatar_split_clause,[],[f32228,f4629,f2911,f18082]) ).
thf(f32238,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_336 ),
inference(constrained_superposition,[],[f26,f18266]) ).
thf(f32239,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f32238]) ).
thf(f32272,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_68
| ~ spl0_290 ),
inference(constrained_superposition,[],[f31693,f17340]) ).
thf(f32281,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_68
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f32272]) ).
thf(f32289,plain,
( ~ spl0_388
| ~ spl0_7
| ~ spl0_68
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f32281,f17339,f2203,f113,f21968]) ).
thf(f32379,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_335
| ~ spl0_336 ),
inference(constrained_superposition,[],[f18078,f18266]) ).
thf(f32380,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_335
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f32379]) ).
thf(f32386,plain,
( $false
| ~ spl0_11
| ~ spl0_335
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f32380,f172]) ).
thf(f32387,plain,
( ~ spl0_11
| ~ spl0_335
| ~ spl0_336 ),
inference(avatar_contradiction_clause,[],[f32386]) ).
thf(f32546,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f27,f17415]) ).
thf(f32549,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f32546]) ).
thf(f32635,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_18
| ~ spl0_367 ),
inference(constrained_superposition,[],[f222,f19252]) ).
thf(f32642,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_18
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f32635]) ).
thf(f32644,plain,
( spl0_433
| ~ spl0_18
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f32642,f19251,f221,f26905]) ).
thf(f32726,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_333 ),
inference(constrained_superposition,[],[f18069,f37]) ).
thf(f32727,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(trivial_inequality_removal,[],[f32726]) ).
thf(f32728,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(forward_subsumption_resolution,[],[f32727,f31]) ).
thf(f32752,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_322 ),
inference(constrained_superposition,[],[f26276,f28]) ).
thf(f32754,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_322 ),
inference(trivial_inequality_removal,[],[f32752]) ).
thf(f32879,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_383 ),
inference(constrained_superposition,[],[f20911,f55]) ).
thf(f32885,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_383 ),
inference(duplicate_literal_removal,[],[f32879]) ).
thf(f32886,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f32885]) ).
thf(f32889,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_118
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f32886,f24981]) ).
thf(f32891,plain,
( spl0_26
| ~ spl0_8
| spl0_118
| ~ spl0_383 ),
inference(avatar_split_clause,[],[f32889,f20910,f3486,f116,f274]) ).
thf(f32895,plain,
( spl0_307
| spl0_405
| spl0_322 ),
inference(avatar_split_clause,[],[f32754,f17986,f22487,f17592]) ).
thf(f32937,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f27,f4633]) ).
thf(f32940,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f32937]) ).
thf(f33009,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f222,f36]) ).
thf(f33019,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f33009]) ).
thf(f33024,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_307
| ~ spl0_422 ),
inference(constrained_superposition,[],[f24841,f17593]) ).
thf(f33025,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_311
| ~ spl0_422 ),
inference(constrained_superposition,[],[f24841,f17608]) ).
thf(f33028,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_307
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f33024]) ).
thf(f33030,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_311
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f33025]) ).
thf(f33032,plain,
( $false
| ~ spl0_90
| ~ spl0_307
| ~ spl0_422 ),
inference(forward_subsumption_resolution,[],[f33028,f2639]) ).
thf(f33033,plain,
( ~ spl0_90
| ~ spl0_307
| ~ spl0_422 ),
inference(avatar_contradiction_clause,[],[f33032]) ).
thf(f33034,plain,
( $false
| ~ spl0_70
| ~ spl0_311
| ~ spl0_422 ),
inference(forward_subsumption_resolution,[],[f33030,f3896]) ).
thf(f33035,plain,
( ~ spl0_70
| ~ spl0_311
| ~ spl0_422 ),
inference(avatar_contradiction_clause,[],[f33034]) ).
thf(f33044,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_29
| ~ spl0_90 ),
inference(constrained_superposition,[],[f325,f2639]) ).
thf(f33050,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_29
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f33044]) ).
thf(f33052,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_29
| ~ spl0_80
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f33050,f2433]) ).
thf(f33053,plain,
( spl0_83
| ~ spl0_29
| ~ spl0_80
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f33052,f2638,f2432,f324,f2490]) ).
thf(f33069,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_342
| ~ spl0_433 ),
inference(constrained_superposition,[],[f26906,f18231]) ).
thf(f33078,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_342
| ~ spl0_433 ),
inference(trivial_inequality_removal,[],[f33069]) ).
thf(f33086,plain,
( $false
| ~ spl0_60
| ~ spl0_342
| ~ spl0_433 ),
inference(forward_subsumption_resolution,[],[f33078,f4625]) ).
thf(f33087,plain,
( ~ spl0_60
| ~ spl0_342
| ~ spl0_433 ),
inference(avatar_contradiction_clause,[],[f33086]) ).
thf(f33090,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_57
| ~ spl0_307 ),
inference(constrained_superposition,[],[f970,f17593]) ).
thf(f33096,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_57
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f33090]) ).
thf(f33143,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_445 ),
inference(constrained_superposition,[],[f31554,f35]) ).
thf(f33150,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_445 ),
inference(trivial_inequality_removal,[],[f33143]) ).
thf(f33157,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_68
| ~ spl0_382 ),
inference(constrained_superposition,[],[f20907,f18271]) ).
thf(f33158,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_382 ),
inference(constrained_superposition,[],[f20907,f55]) ).
thf(f33160,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_68
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f33157]) ).
thf(f33163,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f33158]) ).
thf(f33164,plain,
( spl0_170
| ~ spl0_8
| ~ spl0_68
| ~ spl0_382 ),
inference(avatar_split_clause,[],[f33160,f20906,f2203,f116,f7030]) ).
thf(f33165,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_118
| ~ spl0_382 ),
inference(forward_subsumption_resolution,[],[f33163,f24981]) ).
thf(f33166,plain,
( ~ spl0_8
| spl0_170
| spl0_118
| ~ spl0_382 ),
inference(avatar_split_clause,[],[f33165,f20906,f3486,f7030,f116]) ).
thf(f33190,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_295
| ~ spl0_436 ),
inference(constrained_superposition,[],[f28292,f17415]) ).
thf(f33197,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_295
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f33190]) ).
thf(f33235,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_320 ),
inference(constrained_superposition,[],[f26,f17648]) ).
thf(f33236,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f33235]) ).
thf(f33274,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_386 ),
inference(constrained_superposition,[],[f21524,f35]) ).
thf(f33280,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f33274]) ).
thf(f33283,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_299 ),
inference(constrained_superposition,[],[f17438,f151]) ).
thf(f33291,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f33283]) ).
thf(f33293,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_156
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f33291,f24424]) ).
thf(f33294,plain,
( spl0_129
| spl0_354
| ~ spl0_156
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f33293,f17437,f5524,f18574,f3938]) ).
thf(f33330,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_342
| ~ spl0_403 ),
inference(constrained_superposition,[],[f22479,f18231]) ).
thf(f33334,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_342
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f33330]) ).
thf(f33343,plain,
( spl0_227
| ~ spl0_342
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f33334,f22478,f18230,f12401]) ).
thf(f33372,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_295
| ~ spl0_429 ),
inference(constrained_superposition,[],[f25635,f17415]) ).
thf(f33382,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_295
| ~ spl0_429 ),
inference(duplicate_literal_removal,[],[f33372]) ).
thf(f33383,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_295
| ~ spl0_429 ),
inference(trivial_inequality_removal,[],[f33382]) ).
thf(f33390,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_295
| ~ spl0_342
| ~ spl0_429 ),
inference(constrained_superposition,[],[f33383,f18231]) ).
thf(f33397,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_295
| ~ spl0_342
| ~ spl0_429 ),
inference(trivial_inequality_removal,[],[f33390]) ).
thf(f33400,plain,
( $false
| ~ spl0_295
| spl0_333
| ~ spl0_342
| ~ spl0_429 ),
inference(forward_subsumption_resolution,[],[f33397,f32728]) ).
thf(f33401,plain,
( ~ spl0_295
| spl0_333
| ~ spl0_342
| ~ spl0_429 ),
inference(avatar_contradiction_clause,[],[f33400]) ).
thf(f33433,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| spl0_333
| ~ spl0_440 ),
inference(constrained_superposition,[],[f29489,f32728]) ).
thf(f33435,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_342
| ~ spl0_440 ),
inference(constrained_superposition,[],[f29489,f18231]) ).
thf(f33445,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_333
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f33433]) ).
thf(f33446,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_342
| ~ spl0_440 ),
inference(duplicate_literal_removal,[],[f33435]) ).
thf(f33447,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_342
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f33446]) ).
thf(f33449,plain,
( spl0_124
| spl0_333
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f33445,f29488,f18068,f3692]) ).
thf(f33450,plain,
( spl0_427
| ~ spl0_342
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f33447,f29488,f18230,f25621]) ).
thf(f33469,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_80
| ~ spl0_243 ),
inference(constrained_superposition,[],[f14624,f2433]) ).
thf(f33472,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_90
| ~ spl0_243 ),
inference(constrained_superposition,[],[f14624,f2639]) ).
thf(f33473,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_70
| ~ spl0_243 ),
inference(constrained_superposition,[],[f14624,f3896]) ).
thf(f33475,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_90
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f33472]) ).
thf(f33477,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_70
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f33473]) ).
thf(f33478,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_80
| ~ spl0_243 ),
inference(duplicate_literal_removal,[],[f33469]) ).
thf(f33479,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_80
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f33478]) ).
thf(f33483,plain,
( spl0_29
| ~ spl0_90
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f33475,f14623,f2638,f324]) ).
thf(f33484,plain,
( spl0_33
| ~ spl0_70
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f33477,f14623,f2258,f427]) ).
thf(f33485,plain,
( spl0_222
| ~ spl0_80
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f33479,f14623,f2432,f11439]) ).
thf(f33490,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_293
| ~ spl0_320 ),
inference(constrained_superposition,[],[f33236,f17351]) ).
thf(f33491,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_307
| ~ spl0_320 ),
inference(constrained_superposition,[],[f33236,f17593]) ).
thf(f33492,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_311
| ~ spl0_320 ),
inference(constrained_superposition,[],[f33236,f17608]) ).
thf(f33493,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_86
| ~ spl0_320 ),
inference(constrained_superposition,[],[f33236,f2508]) ).
thf(f33494,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_293
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f33490]) ).
thf(f33496,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_311
| ~ spl0_320 ),
inference(duplicate_literal_removal,[],[f33492]) ).
thf(f33497,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_311
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f33496]) ).
thf(f33498,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_86
| ~ spl0_320 ),
inference(duplicate_literal_removal,[],[f33493]) ).
thf(f33499,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_86
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f33498]) ).
thf(f33502,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_307
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f33491]) ).
thf(f33503,plain,
( spl0_376
| ~ spl0_293
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f33494,f17647,f17350,f19757]) ).
thf(f33504,plain,
( spl0_237
| ~ spl0_311
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f33497,f17647,f17607,f14073]) ).
thf(f33505,plain,
( spl0_237
| ~ spl0_86
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f33499,f17647,f2507,f14073]) ).
thf(f33506,plain,
( spl0_47
| ~ spl0_307
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f33502,f17647,f17592,f691]) ).
thf(f33508,definition,
( spl0_447
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_447])],[avatar_definition]) ).
thf(f33509,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_447 ),
inference(avatar_component_clause,[],[f33508]) ).
thf(f33513,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_333 ),
inference(constrained_superposition,[],[f26,f18992]) ).
thf(f33515,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f33513]) ).
thf(f33547,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_297 ),
inference(constrained_superposition,[],[f17423,f151]) ).
thf(f33555,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_297 ),
inference(duplicate_literal_removal,[],[f33547]) ).
thf(f33556,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f33555]) ).
thf(f33559,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_156
| ~ spl0_297 ),
inference(forward_subsumption_resolution,[],[f33556,f24424]) ).
thf(f33560,plain,
( spl0_354
| spl0_359
| ~ spl0_156
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f33559,f17422,f5524,f18789,f18574]) ).
thf(f33578,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_410 ),
inference(constrained_superposition,[],[f23223,f55]) ).
thf(f33580,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_410 ),
inference(trivial_inequality_removal,[],[f33578]) ).
thf(f33665,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f4494,f36]) ).
thf(f33666,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f4494,f54]) ).
thf(f33671,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_139 ),
inference(duplicate_literal_removal,[],[f33666]) ).
thf(f33672,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f33671]) ).
thf(f33673,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f33665]) ).
thf(f33681,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_438 ),
inference(constrained_superposition,[],[f29289,f150]) ).
thf(f33686,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_438 ),
inference(duplicate_literal_removal,[],[f33681]) ).
thf(f33687,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_438 ),
inference(trivial_inequality_removal,[],[f33686]) ).
thf(f33694,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_185
| ~ spl0_438 ),
inference(forward_subsumption_resolution,[],[f33687,f8704]) ).
thf(f33696,plain,
( spl0_150
| spl0_185
| ~ spl0_438 ),
inference(avatar_split_clause,[],[f33694,f29288,f8703,f5237]) ).
thf(f33712,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_70 ),
inference(constrained_superposition,[],[f30847,f151]) ).
thf(f33717,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f33712]) ).
thf(f33744,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_389 ),
inference(constrained_superposition,[],[f21975,f151]) ).
thf(f33751,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f33744]) ).
thf(f33752,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_414 ),
inference(avatar_component_clause,[],[f23535]) ).
thf(f33753,plain,
( spl0_367
| spl0_74
| ~ spl0_414
| ~ spl0_389 ),
inference(avatar_split_clause,[],[f33751,f21974,f23535,f2367,f19251]) ).
thf(f33754,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_414 ),
inference(constrained_superposition,[],[f33752,f151]) ).
thf(f33757,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_414 ),
inference(trivial_inequality_removal,[],[f33754]) ).
thf(f33760,plain,
( spl0_354
| spl0_414 ),
inference(avatar_split_clause,[],[f33757,f23535,f18574]) ).
thf(f33772,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_393 ),
inference(constrained_superposition,[],[f21993,f35]) ).
thf(f33779,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_393 ),
inference(trivial_inequality_removal,[],[f33772]) ).
thf(f33802,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f31527,f151]) ).
thf(f33808,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f33802]) ).
thf(f33834,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_309
| ~ spl0_342 ),
inference(constrained_superposition,[],[f17601,f18231]) ).
thf(f33841,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_309
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f33834]) ).
thf(f33846,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_309
| ~ spl0_342 ),
inference(constrained_superposition,[],[f33841,f35]) ).
thf(f33849,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_309
| ~ spl0_342 ),
inference(constrained_superposition,[],[f33841,f55]) ).
thf(f33853,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_309
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f33849]) ).
thf(f33854,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_309
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f33846]) ).
thf(f33856,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_309
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f33853,f4625]) ).
thf(f33857,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_142
| ~ spl0_309
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f33854,f4630]) ).
thf(f33860,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_25
| ~ spl0_60
| ~ spl0_309
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f33856,f29682]) ).
thf(f33861,plain,
( ~ spl0_388
| ~ spl0_17
| spl0_142
| ~ spl0_309
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f33857,f18230,f17600,f4629,f217,f21968]) ).
thf(f33862,plain,
( $false
| spl0_25
| ~ spl0_60
| spl0_118
| ~ spl0_309
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f33860,f24981]) ).
thf(f33863,plain,
( spl0_25
| ~ spl0_60
| spl0_118
| ~ spl0_309
| ~ spl0_342 ),
inference(avatar_contradiction_clause,[],[f33862]) ).
thf(f33868,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_392 ),
inference(constrained_superposition,[],[f21989,f55]) ).
thf(f33873,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_392 ),
inference(trivial_inequality_removal,[],[f33868]) ).
thf(f33876,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_305
| ~ spl0_392 ),
inference(forward_subsumption_resolution,[],[f33873,f26229]) ).
thf(f33878,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| spl0_25
| spl0_305
| ~ spl0_392 ),
inference(forward_subsumption_resolution,[],[f33876,f29682]) ).
thf(f33879,plain,
( spl0_397
| spl0_25
| spl0_305
| ~ spl0_392 ),
inference(avatar_split_clause,[],[f33878,f21988,f17585,f263,f22330]) ).
thf(f33881,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_90 ),
inference(constrained_superposition,[],[f31303,f151]) ).
thf(f33890,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_90 ),
inference(duplicate_literal_removal,[],[f33881]) ).
thf(f33891,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f33890]) ).
thf(f33903,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_336 ),
inference(constrained_superposition,[],[f32239,f151]) ).
thf(f33905,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_289
| ~ spl0_336 ),
inference(constrained_superposition,[],[f32239,f17337]) ).
thf(f33908,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f33903]) ).
thf(f33912,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_289
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f33905]) ).
thf(f33914,plain,
( spl0_354
| spl0_331
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f33908,f18082,f18053,f18574]) ).
thf(f33916,plain,
( spl0_299
| ~ spl0_289
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f33912,f18082,f17336,f17437]) ).
thf(f33918,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_142
| ~ spl0_445 ),
inference(forward_subsumption_resolution,[],[f33150,f4630]) ).
thf(f33919,plain,
( ~ spl0_3
| spl0_423
| spl0_320
| ~ spl0_393 ),
inference(avatar_split_clause,[],[f33779,f21992,f17647,f24910,f83]) ).
thf(f33920,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| spl0_142
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f33280,f4630]) ).
thf(f33923,plain,
( spl0_27
| ~ spl0_3
| spl0_142
| ~ spl0_445 ),
inference(avatar_split_clause,[],[f33918,f31553,f4629,f83,f278]) ).
thf(f33924,plain,
( ~ spl0_3
| spl0_136
| spl0_142
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f33920,f21523,f4629,f4409,f83]) ).
thf(f33968,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_295
| ~ spl0_423 ),
inference(constrained_superposition,[],[f24911,f17415]) ).
thf(f33969,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_143
| ~ spl0_423 ),
inference(constrained_superposition,[],[f24911,f4633]) ).
thf(f33970,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_423 ),
inference(constrained_superposition,[],[f24911,f150]) ).
thf(f33974,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f33970]) ).
thf(f33976,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_143
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f33969]) ).
thf(f33979,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_295
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f33968]) ).
thf(f33980,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_185
| ~ spl0_423 ),
inference(forward_subsumption_resolution,[],[f33974,f8704]) ).
thf(f33981,plain,
( ~ spl0_17
| ~ spl0_143
| ~ spl0_423 ),
inference(avatar_split_clause,[],[f33976,f24910,f4632,f217]) ).
thf(f33982,plain,
( ~ spl0_388
| ~ spl0_295
| ~ spl0_423 ),
inference(avatar_split_clause,[],[f33979,f24910,f17414,f21968]) ).
thf(f33983,plain,
( ~ spl0_17
| spl0_185
| ~ spl0_423 ),
inference(avatar_split_clause,[],[f33980,f24910,f8703,f217]) ).
thf(f33995,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_289
| ~ spl0_331 ),
inference(constrained_superposition,[],[f18054,f17337]) ).
thf(f33998,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_289
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f33995]) ).
thf(f34004,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_90
| ~ spl0_289
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f33998,f2639]) ).
thf(f34008,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_80
| ~ spl0_90
| ~ spl0_289
| ~ spl0_331 ),
inference(constrained_superposition,[],[f34004,f2433]) ).
thf(f34015,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_80
| ~ spl0_90
| ~ spl0_289
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f34008]) ).
thf(f34065,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f19626,f151]) ).
thf(f34071,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f34065]) ).
thf(f34073,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_371
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f34071,f23536]) ).
thf(f34074,plain,
( spl0_367
| spl0_245
| ~ spl0_371
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f34073,f23535,f19625,f14695,f19251]) ).
thf(f34102,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_188
| ~ spl0_414 ),
inference(constrained_superposition,[],[f8751,f23536]) ).
thf(f34103,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_188 ),
inference(constrained_superposition,[],[f8751,f151]) ).
thf(f34105,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_188
| ~ spl0_289 ),
inference(constrained_superposition,[],[f8751,f17337]) ).
thf(f34108,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_188
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f34102]) ).
thf(f34109,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_188
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f34105]) ).
thf(f34112,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f34103]) ).
thf(f34114,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f30983,f36]) ).
thf(f34118,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f30983,f150]) ).
thf(f34122,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f34114]) ).
thf(f34123,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f34118]) ).
thf(f34170,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f17997,f151]) ).
thf(f34172,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_289
| ~ spl0_324 ),
inference(constrained_superposition,[],[f17997,f17337]) ).
thf(f34175,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_324 ),
inference(duplicate_literal_removal,[],[f34170]) ).
thf(f34176,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f34175]) ).
thf(f34182,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_289
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f34172]) ).
thf(f34184,definition,
( spl0_448
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_448])],[avatar_definition]) ).
thf(f34185,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_448 ),
inference(avatar_component_clause,[],[f34184]) ).
thf(f34186,plain,
( spl0_354
| spl0_448
| spl0_359
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f34176,f17996,f18789,f34184,f18574]) ).
thf(f34193,definition,
( spl0_450
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_450])],[avatar_definition]) ).
thf(f34194,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_450 ),
inference(avatar_component_clause,[],[f34193]) ).
thf(f34195,plain,
( spl0_450
| spl0_245
| ~ spl0_289
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f34182,f17996,f17336,f14695,f34193]) ).
thf(f34199,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_289
| ~ spl0_448 ),
inference(constrained_superposition,[],[f34185,f17337]) ).
thf(f34206,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_289
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f34199]) ).
thf(f34208,plain,
( $false
| ~ spl0_156
| ~ spl0_289
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f34206,f24424]) ).
thf(f34209,plain,
( ~ spl0_156
| ~ spl0_289
| ~ spl0_448 ),
inference(avatar_contradiction_clause,[],[f34208]) ).
thf(f34211,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_450 ),
inference(constrained_superposition,[],[f34194,f151]) ).
thf(f34216,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_450 ),
inference(trivial_inequality_removal,[],[f34211]) ).
thf(f34222,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_90
| ~ spl0_450 ),
inference(forward_subsumption_resolution,[],[f34216,f2639]) ).
thf(f34225,plain,
( spl0_354
| ~ spl0_90
| ~ spl0_450 ),
inference(avatar_split_clause,[],[f34222,f34193,f2638,f18574]) ).
thf(f34255,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f32549,f35]) ).
thf(f34257,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_68
| ~ spl0_295 ),
inference(constrained_superposition,[],[f32549,f18271]) ).
thf(f34258,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f32549,f55]) ).
thf(f34259,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f34255]) ).
thf(f34260,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f34258]) ).
thf(f34261,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_68
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f34257]) ).
thf(f34264,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| spl0_142
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f34259,f4630]) ).
thf(f34265,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_60
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f34260,f4625]) ).
thf(f34266,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_60
| ~ spl0_68
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f34261,f4625]) ).
thf(f34268,definition,
( spl0_451
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_451])],[avatar_definition]) ).
thf(f34269,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_451 ),
inference(avatar_component_clause,[],[f34268]) ).
thf(f34270,plain,
( spl0_451
| ~ spl0_388
| spl0_142
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f34264,f17414,f4629,f21968,f34268]) ).
thf(f34271,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_60
| spl0_118
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f34265,f24981]) ).
thf(f34272,plain,
( spl0_190
| ~ spl0_60
| ~ spl0_68
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f34266,f17414,f2203,f1989,f8772]) ).
thf(f34273,plain,
( spl0_190
| ~ spl0_60
| spl0_118
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f34271,f17414,f3486,f1989,f8772]) ).
thf(f34285,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f8773,f36]) ).
thf(f34286,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f8773,f54]) ).
thf(f34290,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f34285]) ).
thf(f34293,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_190 ),
inference(duplicate_literal_removal,[],[f34286]) ).
thf(f34294,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f34293]) ).
thf(f34324,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_291
| ~ spl0_333 ),
inference(constrained_superposition,[],[f33515,f17344]) ).
thf(f34330,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_291
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f34324]) ).
thf(f34331,plain,
( spl0_389
| ~ spl0_291
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f34330,f18068,f17343,f21974]) ).
thf(f34370,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_291
| ~ spl0_330 ),
inference(constrained_superposition,[],[f18047,f17344]) ).
thf(f34376,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_291
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f34370]) ).
thf(f34383,definition,
( spl0_453
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_453])],[avatar_definition]) ).
thf(f34384,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_453 ),
inference(avatar_component_clause,[],[f34383]) ).
thf(f34385,plain,
( spl0_453
| spl0_335
| ~ spl0_291
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f34376,f18046,f17343,f18077,f34383]) ).
thf(f34402,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_57
| ~ spl0_307
| ~ spl0_420 ),
inference(constrained_superposition,[],[f33096,f24473]) ).
thf(f34417,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_57
| ~ spl0_307
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f34402]) ).
thf(f34426,plain,
( $false
| ~ spl0_57
| ~ spl0_90
| ~ spl0_307
| ~ spl0_420 ),
inference(forward_subsumption_resolution,[],[f34417,f2639]) ).
thf(f34427,plain,
( ~ spl0_57
| ~ spl0_90
| ~ spl0_307
| ~ spl0_420 ),
inference(avatar_contradiction_clause,[],[f34426]) ).
thf(f34443,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_292
| ~ spl0_396 ),
inference(constrained_superposition,[],[f22006,f17347]) ).
thf(f34460,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_292
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f34443]) ).
thf(f34468,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_143
| ~ spl0_292
| ~ spl0_396 ),
inference(forward_subsumption_resolution,[],[f34460,f4633]) ).
thf(f34469,plain,
( spl0_418
| ~ spl0_143
| ~ spl0_292
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f34468,f22005,f17346,f4632,f24318]) ).
thf(f34538,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_319
| ~ spl0_342 ),
inference(constrained_superposition,[],[f17642,f18231]) ).
thf(f34546,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_319
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f34538]) ).
thf(f34553,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_319
| ~ spl0_342 ),
inference(constrained_superposition,[],[f34546,f55]) ).
thf(f34557,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_319
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f34553]) ).
thf(f34560,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_118
| ~ spl0_319
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f34557,f24981]) ).
thf(f34562,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_60
| spl0_118
| ~ spl0_319
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f34560,f4625]) ).
thf(f34563,plain,
( ~ spl0_8
| ~ spl0_60
| spl0_118
| ~ spl0_319
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f34562,f18230,f17641,f3486,f1989,f116]) ).
thf(f34564,plain,
( spl0_137
| spl0_450
| ~ spl0_188
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f34109,f17336,f8750,f34193,f4450]) ).
thf(f34620,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_291 ),
inference(constrained_superposition,[],[f26,f17344]) ).
thf(f34633,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f34620]) ).
thf(f34682,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_291
| ~ spl0_293 ),
inference(constrained_superposition,[],[f34633,f17351]) ).
thf(f34685,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_291
| ~ spl0_293 ),
inference(duplicate_literal_removal,[],[f34682]) ).
thf(f34686,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_291
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f34685]) ).
thf(f34694,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_289
| ~ spl0_291
| ~ spl0_293 ),
inference(constrained_superposition,[],[f34686,f17337]) ).
thf(f34701,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_289
| ~ spl0_291
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f34694]) ).
thf(f34706,plain,
( spl0_450
| ~ spl0_289
| ~ spl0_291
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f34701,f17350,f17343,f17336,f34193]) ).
thf(f34708,plain,
( ~ spl0_45
| ~ spl0_80
| ~ spl0_90
| ~ spl0_289
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f34015,f18053,f17336,f2638,f2432,f605]) ).
thf(f34709,plain,
( spl0_448
| spl0_354
| spl0_74
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f34112,f8750,f2367,f18574,f34184]) ).
thf(f34711,definition,
( spl0_455
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_455])],[avatar_definition]) ).
thf(f34712,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f34711]) ).
thf(f34713,plain,
( spl0_455
| spl0_336
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f34122,f2203,f18082,f34711]) ).
thf(f34714,plain,
( spl0_448
| spl0_74
| ~ spl0_188
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f34108,f23535,f8750,f2367,f34184]) ).
thf(f34721,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f2912,f35]) ).
thf(f34724,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f34721]) ).
thf(f34729,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f26,f17425]) ).
thf(f34732,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f34729]) ).
thf(f34750,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_23
| ~ spl0_320 ),
inference(constrained_superposition,[],[f31531,f17648]) ).
thf(f34766,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_23
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f34750]) ).
thf(f34767,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_23
| ~ spl0_320 ),
inference(forward_subsumption_resolution,[],[f34766,f31]) ).
thf(f34768,plain,
( spl0_304
| ~ spl0_23
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f34767,f17647,f252,f17579]) ).
thf(f34770,definition,
( spl0_456
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_456])],[avatar_definition]) ).
thf(f34771,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_456 ),
inference(avatar_component_clause,[],[f34770]) ).
thf(f34777,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_144
| ~ spl0_156 ),
inference(constrained_superposition,[],[f4637,f24424]) ).
thf(f34780,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_144
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f34777]) ).
thf(f34787,plain,
( $false
| ~ spl0_70
| ~ spl0_144
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f34780,f3896]) ).
thf(f34788,plain,
( ~ spl0_70
| ~ spl0_144
| ~ spl0_156 ),
inference(avatar_contradiction_clause,[],[f34787]) ).
thf(f34789,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f34724,f36]) ).
thf(f34791,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f34789]) ).
thf(f34922,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f114,f55]) ).
thf(f34931,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f34922]) ).
thf(f35000,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_292
| ~ spl0_368 ),
inference(constrained_superposition,[],[f19275,f17347]) ).
thf(f35012,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_292
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f35000]) ).
thf(f35045,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_294
| ~ spl0_295 ),
inference(constrained_superposition,[],[f32549,f17354]) ).
thf(f35046,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_143
| ~ spl0_294 ),
inference(constrained_superposition,[],[f32940,f17354]) ).
thf(f35064,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_143
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f35046]) ).
thf(f35065,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_294
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f35045]) ).
thf(f35080,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_143
| ~ spl0_294
| ~ spl0_322 ),
inference(forward_subsumption_resolution,[],[f35064,f17987]) ).
thf(f35081,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_294
| ~ spl0_295
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f35065,f18231]) ).
thf(f35085,plain,
( spl0_412
| ~ spl0_143
| ~ spl0_294
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f35080,f17986,f17353,f4632,f23232]) ).
thf(f35110,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_310 ),
inference(constrained_superposition,[],[f17605,f54]) ).
thf(f35119,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f35110]) ).
thf(f35248,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_412 ),
inference(constrained_superposition,[],[f23233,f150]) ).
thf(f35252,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_412 ),
inference(trivial_inequality_removal,[],[f35248]) ).
thf(f35336,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_294
| ~ spl0_295
| ~ spl0_342 ),
inference(constrained_superposition,[],[f35081,f17354]) ).
thf(f35341,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_294
| ~ spl0_295
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f35336]) ).
thf(f35352,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_294
| ~ spl0_295
| ~ spl0_342 ),
inference(constrained_superposition,[],[f35341,f17354]) ).
thf(f35360,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_294
| ~ spl0_295
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f35352]) ).
thf(f35361,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_294
| ~ spl0_295
| ~ spl0_342 ),
inference(constrained_superposition,[],[f35360,f152]) ).
thf(f35363,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_294
| ~ spl0_295
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f35361]) ).
thf(f35365,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_294
| ~ spl0_295
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f35363,f31]) ).
thf(f35367,plain,
( spl0_420
| ~ spl0_294
| ~ spl0_295
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f35365,f18230,f17414,f17353,f24472]) ).
thf(f35425,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_142
| ~ spl0_318 ),
inference(constrained_superposition,[],[f34732,f17638]) ).
thf(f35430,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_142
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f35425]) ).
thf(f35432,plain,
( spl0_63
| ~ spl0_142
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f35430,f17637,f4629,f2106]) ).
thf(f35433,plain,
( spl0_11
| spl0_27
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f33019,f221,f278,f171]) ).
thf(f35439,plain,
( spl0_307
| spl0_153
| ~ spl0_412 ),
inference(avatar_split_clause,[],[f35252,f23232,f5374,f17592]) ).
thf(f35443,plain,
( spl0_398
| ~ spl0_183
| ~ spl0_292
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f35012,f19274,f17346,f8684,f22334]) ).
thf(f35445,plain,
( ~ spl0_183
| spl0_398
| ~ spl0_295
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f33197,f28291,f17414,f22334,f8684]) ).
thf(f35462,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_27
| ~ spl0_60 ),
inference(constrained_superposition,[],[f279,f4625]) ).
thf(f35470,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_27
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f35462]) ).
thf(f35471,plain,
( ~ spl0_388
| ~ spl0_27
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f35470,f1989,f278,f21968]) ).
thf(f35472,plain,
( spl0_128
| spl0_112
| spl0_74
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f33808,f2432,f2367,f3065,f3935]) ).
thf(f35473,plain,
( spl0_112
| spl0_129
| spl0_128
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f33717,f2258,f3935,f3938,f3065]) ).
thf(f35474,plain,
( spl0_112
| spl0_359
| spl0_128
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f33891,f2638,f3935,f18789,f3065]) ).
thf(f35641,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f583,f36]) ).
thf(f35647,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f35641]) ).
thf(f35652,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_293
| ~ spl0_430 ),
inference(constrained_superposition,[],[f25644,f17351]) ).
thf(f35659,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_293
| ~ spl0_430 ),
inference(trivial_inequality_removal,[],[f35652]) ).
thf(f35661,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_433 ),
inference(constrained_superposition,[],[f26906,f36]) ).
thf(f35666,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_433 ),
inference(trivial_inequality_removal,[],[f35661]) ).
thf(f35671,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_311
| ~ spl0_433 ),
inference(forward_subsumption_resolution,[],[f35666,f17981]) ).
thf(f35672,plain,
( ~ spl0_8
| spl0_311
| ~ spl0_433 ),
inference(avatar_split_clause,[],[f35671,f26905,f17607,f116]) ).
thf(f35673,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_118
| ~ spl0_410 ),
inference(forward_subsumption_resolution,[],[f33580,f24981]) ).
thf(f35677,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_25
| spl0_118
| ~ spl0_410 ),
inference(forward_subsumption_resolution,[],[f35673,f29682]) ).
thf(f35681,plain,
( spl0_204
| spl0_25
| spl0_118
| ~ spl0_410 ),
inference(avatar_split_clause,[],[f35677,f23222,f3486,f263,f10196]) ).
thf(f35683,plain,
( spl0_101
| spl0_318
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f35119,f17604,f17637,f2907]) ).
thf(f35684,plain,
( ~ spl0_375
| spl0_342
| ~ spl0_293
| ~ spl0_430 ),
inference(avatar_split_clause,[],[f35659,f25643,f17350,f18230,f19753]) ).
thf(f35689,plain,
( spl0_70
| spl0_27
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f34290,f8772,f278,f2258]) ).
thf(f35690,plain,
( spl0_96
| spl0_70
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f33673,f4493,f2258,f2789]) ).
thf(f35770,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_305
| ~ spl0_366 ),
inference(constrained_superposition,[],[f19146,f17586]) ).
thf(f35777,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_305
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f35770]) ).
thf(f35854,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_190
| ~ spl0_290 ),
inference(constrained_superposition,[],[f8773,f17340]) ).
thf(f35870,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_190
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f35854]) ).
thf(f35886,plain,
( spl0_397
| ~ spl0_190
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f35870,f17339,f8772,f22330]) ).
thf(f35892,plain,
( spl0_374
| ~ spl0_305
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f35777,f19145,f17585,f19638]) ).
thf(f35910,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_322 ),
inference(constrained_superposition,[],[f105,f17987]) ).
thf(f35912,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_109
| ~ spl0_322 ),
inference(constrained_superposition,[],[f3031,f17987]) ).
thf(f35913,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_7
| ~ spl0_322 ),
inference(constrained_superposition,[],[f34931,f17987]) ).
thf(f35919,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f35910]) ).
thf(f35920,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_109
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f35912]) ).
thf(f35921,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f35913]) ).
thf(f35927,plain,
( ~ spl0_308
| ~ spl0_109
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f35920,f17986,f3030,f17596]) ).
thf(f35928,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_7
| spl0_25
| ~ spl0_322 ),
inference(forward_subsumption_resolution,[],[f35921,f29677]) ).
thf(f35930,plain,
( ~ spl0_308
| ~ spl0_7
| spl0_25
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f35928,f17986,f263,f113,f17596]) ).
thf(f35933,plain,
( spl0_305
| spl0_368
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f35919,f17986,f19274,f17585]) ).
thf(f36012,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f10197,f36]) ).
thf(f36017,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f36012]) ).
thf(f36022,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_70
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f36017,f2259]) ).
thf(f36023,plain,
( ~ spl0_8
| spl0_70
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f36022,f10196,f2258,f116]) ).
thf(f36025,plain,
( spl0_80
| spl0_150
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f33672,f4493,f5237,f2432]) ).
thf(f36027,plain,
( spl0_80
| spl0_26
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f34294,f8772,f274,f2432]) ).
thf(f36033,plain,
( spl0_185
| spl0_386
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f34123,f2203,f21523,f8703]) ).
thf(f36035,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_24
| spl0_89 ),
inference(forward_subsumption_resolution,[],[f2614,f17167]) ).
thf(f36037,plain,
( spl0_13
| spl0_24
| spl0_89 ),
inference(avatar_split_clause,[],[f36035,f2609,f260,f178]) ).
thf(f36040,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_13 ),
inference(constrained_superposition,[],[f560,f37]) ).
thf(f36041,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f36040]) ).
thf(f36042,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f36041,f31]) ).
thf(f36043,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| spl0_13
| ~ spl0_42 ),
inference(constrained_superposition,[],[f583,f36042]) ).
thf(f36048,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_13 ),
inference(constrained_superposition,[],[f27,f36042]) ).
thf(f36050,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f36048]) ).
thf(f36051,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_13
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f36043]) ).
thf(f36055,plain,
( spl0_216
| spl0_13 ),
inference(avatar_split_clause,[],[f36050,f178,f10723]) ).
thf(f36056,plain,
( spl0_101
| spl0_13
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f36051,f582,f178,f2907]) ).
thf(f36091,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| spl0_13
| ~ spl0_101 ),
inference(constrained_superposition,[],[f2908,f36042]) ).
thf(f36095,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_13
| ~ spl0_101 ),
inference(trivial_inequality_removal,[],[f36091]) ).
thf(f36233,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_335 ),
inference(constrained_superposition,[],[f18078,f1944]) ).
thf(f36242,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f36233]) ).
thf(f36244,plain,
( ~ spl0_156
| spl0_295
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f36242,f18077,f17414,f5524]) ).
thf(f36305,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_380 ),
inference(constrained_superposition,[],[f19804,f36]) ).
thf(f36317,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f36305]) ).
thf(f36323,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_33
| ~ spl0_45 ),
inference(constrained_superposition,[],[f428,f606]) ).
thf(f36329,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_33
| ~ spl0_45 ),
inference(duplicate_literal_removal,[],[f36323]) ).
thf(f36330,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_33
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f36329]) ).
thf(f36335,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_33
| ~ spl0_45
| ~ spl0_318 ),
inference(constrained_superposition,[],[f36330,f17638]) ).
thf(f36342,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_33
| ~ spl0_45
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f36335]) ).
thf(f36347,plain,
( $false
| ~ spl0_33
| ~ spl0_45
| ~ spl0_318
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f36342,f18266]) ).
thf(f36348,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_318
| ~ spl0_336 ),
inference(avatar_contradiction_clause,[],[f36347]) ).
thf(f36403,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_199 ),
inference(constrained_superposition,[],[f9936,f35]) ).
thf(f36412,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f36403]) ).
thf(f36439,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_1
| ~ spl0_102 ),
inference(constrained_superposition,[],[f140,f34791]) ).
thf(f36450,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_1
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f36439]) ).
thf(f36459,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_240 ),
inference(constrained_superposition,[],[f14087,f151]) ).
thf(f36467,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f36459]) ).
thf(f36472,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_390 ),
inference(constrained_superposition,[],[f21979,f35]) ).
thf(f36474,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_290
| ~ spl0_390 ),
inference(constrained_superposition,[],[f21979,f17340]) ).
thf(f36479,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_290
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f36474]) ).
thf(f36481,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f36472]) ).
thf(f36489,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_401 ),
inference(constrained_superposition,[],[f22471,f3066]) ).
thf(f36492,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_401 ),
inference(trivial_inequality_removal,[],[f36489]) ).
thf(f36500,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_13
| ~ spl0_112
| ~ spl0_401 ),
inference(forward_subsumption_resolution,[],[f36492,f36042]) ).
thf(f36501,plain,
( spl0_136
| spl0_13
| ~ spl0_112
| ~ spl0_401 ),
inference(avatar_split_clause,[],[f36500,f22470,f3065,f178,f4409]) ).
thf(f36503,definition,
( spl0_458
<=> ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_458])],[avatar_definition]) ).
thf(f36504,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_458 ),
inference(avatar_component_clause,[],[f36503]) ).
thf(f36513,plain,
( spl0_45
| spl0_1
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f36450,f2911,f67,f605]) ).
thf(f36517,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_311
| ~ spl0_380 ),
inference(forward_subsumption_resolution,[],[f36317,f17981]) ).
thf(f36518,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_11
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f35647,f497]) ).
thf(f36519,plain,
( spl0_102
| spl0_311
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f36517,f19803,f17607,f2911]) ).
thf(f36520,plain,
( spl0_102
| spl0_11
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f36518,f582,f171,f2911]) ).
thf(f36521,plain,
( ~ spl0_3
| spl0_142
| ~ spl0_17
| ~ spl0_390 ),
inference(avatar_split_clause,[],[f36481,f21978,f217,f4629,f83]) ).
thf(f36525,plain,
( ~ spl0_11
| spl0_112
| spl0_144
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f36467,f14086,f4636,f3065,f171]) ).
thf(f36526,plain,
( ~ spl0_141
| ~ spl0_111
| ~ spl0_290
| ~ spl0_390 ),
inference(avatar_split_clause,[],[f36479,f21978,f17339,f3061,f4613]) ).
thf(f36528,plain,
( ~ spl0_17
| spl0_13
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f36095,f2907,f178,f217]) ).
thf(f36534,plain,
( ~ spl0_17
| spl0_84
| ~ spl0_3
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f36412,f9935,f83,f2493,f217]) ).
thf(f36537,plain,
( ( $true != $true )
| ~ spl0_22
| ~ spl0_30 ),
inference(constrained_superposition,[],[f249,f352]) ).
thf(f36538,plain,
( $false
| ~ spl0_22
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f36537]) ).
thf(f36539,plain,
( ~ spl0_22
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f36538]) ).
thf(f36540,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f26,f172]) ).
thf(f36541,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f36540]) ).
thf(f36551,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_19 ),
inference(constrained_superposition,[],[f225,f28]) ).
thf(f36552,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_19 ),
inference(trivial_inequality_removal,[],[f36551]) ).
thf(f36554,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_19
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f36552,f17167]) ).
thf(f36555,plain,
( spl0_25
| spl0_19
| spl0_24 ),
inference(avatar_split_clause,[],[f36554,f260,f224,f263]) ).
thf(f36602,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_336 ),
inference(constrained_superposition,[],[f26,f18266]) ).
thf(f36604,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f36602]) ).
thf(f36608,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_25 ),
inference(constrained_superposition,[],[f253,f264]) ).
thf(f36611,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f36608]) ).
thf(f36613,plain,
( $false
| ~ spl0_23
| ~ spl0_25
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f36611,f352]) ).
thf(f36614,plain,
( ~ spl0_23
| ~ spl0_25
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f36613]) ).
thf(f36660,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_109
| ~ spl0_111 ),
inference(constrained_superposition,[],[f3031,f3062]) ).
thf(f36667,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_109
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f36660]) ).
thf(f36674,plain,
( ~ spl0_388
| ~ spl0_109
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f36667,f3061,f3030,f21968]) ).
thf(f36752,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_143
| ~ spl0_152 ),
inference(constrained_superposition,[],[f5309,f4633]) ).
thf(f36753,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f63,f4633]) ).
thf(f36758,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f36753]) ).
thf(f36759,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_143
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f36752]) ).
thf(f36767,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_143
| ~ spl0_152
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f36759,f8685]) ).
thf(f36770,plain,
( spl0_423
| ~ spl0_143
| ~ spl0_152
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f36767,f8684,f5308,f4632,f24910]) ).
thf(f36792,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_25 ),
inference(constrained_superposition,[],[f29677,f37]) ).
thf(f36793,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_25 ),
inference(trivial_inequality_removal,[],[f36792]) ).
thf(f36794,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f36793,f31]) ).
thf(f36846,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_156
| ~ spl0_240 ),
inference(constrained_superposition,[],[f14087,f24424]) ).
thf(f36849,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_156
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f36846]) ).
thf(f36850,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_11
| ~ spl0_156
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f36849,f172]) ).
thf(f36851,plain,
( spl0_144
| ~ spl0_11
| ~ spl0_156
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f36850,f14086,f5524,f171,f4636]) ).
thf(f36884,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_426 ),
inference(constrained_superposition,[],[f25395,f54]) ).
thf(f36886,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_426 ),
inference(trivial_inequality_removal,[],[f36884]) ).
thf(f36949,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_30
| ~ spl0_94 ),
inference(constrained_superposition,[],[f2729,f352]) ).
thf(f36952,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_30
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f36949]) ).
thf(f36953,plain,
( $false
| ~ spl0_30
| ~ spl0_45
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f36952,f606]) ).
thf(f36954,plain,
( ~ spl0_30
| ~ spl0_45
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f36953]) ).
thf(f36967,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_159
| spl0_311 ),
inference(constrained_superposition,[],[f17981,f6138]) ).
thf(f36970,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_159
| spl0_311 ),
inference(trivial_inequality_removal,[],[f36967]) ).
thf(f36975,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_159
| spl0_311 ),
inference(forward_subsumption_resolution,[],[f36970,f31]) ).
thf(f36977,plain,
( spl0_117
| ~ spl0_159
| spl0_311 ),
inference(avatar_split_clause,[],[f36975,f17607,f6137,f3483]) ).
thf(f36996,plain,
( ~ spl0_8
| spl0_13
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f36886,f25394,f178,f116]) ).
thf(f37005,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_13 ),
inference(constrained_superposition,[],[f560,f37]) ).
thf(f37006,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f37005]) ).
thf(f37007,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f37006,f31]) ).
thf(f37055,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_95
| ~ spl0_111 ),
inference(constrained_superposition,[],[f2786,f3062]) ).
thf(f37061,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_95
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f37055]) ).
thf(f37065,plain,
( ~ spl0_107
| ~ spl0_95
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f37061,f3061,f2785,f2970]) ).
thf(f37068,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| spl0_25
| ~ spl0_54 ),
inference(constrained_superposition,[],[f937,f36794]) ).
thf(f37070,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_25
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f37068]) ).
thf(f37074,plain,
( $false
| spl0_13
| spl0_25
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f37070,f37007]) ).
thf(f37075,plain,
( spl0_13
| spl0_25
| ~ spl0_54 ),
inference(avatar_contradiction_clause,[],[f37074]) ).
thf(f37077,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_25
| ~ spl0_205 ),
inference(constrained_superposition,[],[f10608,f264]) ).
thf(f37078,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_25
| ~ spl0_47 ),
inference(constrained_superposition,[],[f692,f264]) ).
thf(f37080,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_25
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f37078]) ).
thf(f37081,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_25
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f37077]) ).
thf(f37088,plain,
( ~ spl0_1
| ~ spl0_25
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f37081,f10607,f263,f67]) ).
thf(f37089,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_13
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f36758,f560]) ).
thf(f37090,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_25
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f37080,f691,f263,f142,f67]) ).
thf(f37091,plain,
( ~ spl0_183
| spl0_381
| spl0_13
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f37089,f4632,f178,f20511,f8684]) ).
thf(f37154,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_318
| ~ spl0_337 ),
inference(constrained_superposition,[],[f18086,f17638]) ).
thf(f37159,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_318
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f37154]) ).
thf(f37223,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_90
| ~ spl0_94 ),
inference(constrained_superposition,[],[f2729,f2639]) ).
thf(f37231,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_90
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f37223]) ).
thf(f37233,plain,
( $false
| ~ spl0_80
| ~ spl0_90
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f37231,f2433]) ).
thf(f37234,plain,
( ~ spl0_80
| ~ spl0_90
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f37233]) ).
thf(f37235,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f4027,f151]) ).
thf(f37236,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f4027,f1944]) ).
thf(f37246,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f37236]) ).
thf(f37248,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f37235]) ).
thf(f37298,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_205
| ~ spl0_307 ),
inference(constrained_superposition,[],[f10608,f17593]) ).
thf(f37304,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_205
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f37298]) ).
thf(f37307,plain,
( $false
| ~ spl0_205
| ~ spl0_307
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[],[f37304,f17608]) ).
thf(f37308,plain,
( ~ spl0_205
| ~ spl0_307
| ~ spl0_311 ),
inference(avatar_contradiction_clause,[],[f37307]) ).
thf(f37312,plain,
( ~ spl0_1
| ~ spl0_318
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f37159,f18085,f17637,f67]) ).
thf(f37313,plain,
( spl0_112
| ~ spl0_30
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f37248,f4026,f351,f3065]) ).
thf(f37314,plain,
( $false
| ~ spl0_36
| spl0_305 ),
inference(forward_subsumption_resolution,[],[f26229,f500]) ).
thf(f37315,plain,
( ~ spl0_36
| spl0_305 ),
inference(avatar_contradiction_clause,[],[f37314]) ).
thf(f37323,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_80 ),
inference(constrained_superposition,[],[f4626,f37]) ).
thf(f37324,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_80 ),
inference(trivial_inequality_removal,[],[f37323]) ).
thf(f37325,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_80 ),
inference(forward_subsumption_resolution,[],[f37324,f31]) ).
thf(f37328,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_49
| spl0_80 ),
inference(constrained_superposition,[],[f782,f37325]) ).
thf(f37331,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| spl0_80 ),
inference(constrained_superposition,[],[f27,f37325]) ).
thf(f37333,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_80 ),
inference(trivial_inequality_removal,[],[f37331]) ).
thf(f37335,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_49
| spl0_80 ),
inference(trivial_inequality_removal,[],[f37328]) ).
thf(f37338,plain,
( ~ spl0_107
| ~ spl0_49
| spl0_80 ),
inference(avatar_split_clause,[],[f37335,f2432,f781,f2970]) ).
thf(f37341,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_118 ),
inference(constrained_superposition,[],[f143,f3487]) ).
thf(f37342,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_25 ),
inference(constrained_superposition,[],[f143,f264]) ).
thf(f37346,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_9
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f37342]) ).
thf(f37347,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f37341]) ).
thf(f37349,plain,
( $false
| ~ spl0_9
| ~ spl0_11
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f37346,f172]) ).
thf(f37350,plain,
( ~ spl0_9
| ~ spl0_11
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f37349]) ).
thf(f37351,plain,
( $false
| ~ spl0_9
| ~ spl0_118
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f37347,f18266]) ).
thf(f37352,plain,
( ~ spl0_9
| ~ spl0_118
| ~ spl0_336 ),
inference(avatar_contradiction_clause,[],[f37351]) ).
thf(f37354,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f275,f55]) ).
thf(f37357,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f37354]) ).
thf(f37359,plain,
( spl0_458
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f37357,f274,f36503]) ).
thf(f37366,plain,
( $false
| spl0_25
| ~ spl0_458 ),
inference(forward_subsumption_resolution,[],[f29677,f36504]) ).
thf(f37367,plain,
( spl0_25
| ~ spl0_458 ),
inference(avatar_contradiction_clause,[],[f37366]) ).
thf(f37387,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f105,f3062]) ).
thf(f37389,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f63,f3062]) ).
thf(f37392,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f27,f3062]) ).
thf(f37395,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f37392]) ).
thf(f37396,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f37389]) ).
thf(f37397,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f37387]) ).
thf(f37399,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| spl0_80
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f37396,f37325]) ).
thf(f37442,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| spl0_13
| ~ spl0_136 ),
inference(constrained_superposition,[],[f4410,f37007]) ).
thf(f37448,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_13
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f37442]) ).
thf(f37450,plain,
( ~ spl0_3
| spl0_13
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f37448,f4409,f178,f83]) ).
thf(f37466,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_333 ),
inference(constrained_superposition,[],[f18069,f37]) ).
thf(f37467,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_333 ),
inference(trivial_inequality_removal,[],[f37466]) ).
thf(f37468,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(forward_subsumption_resolution,[],[f37467,f31]) ).
thf(f37493,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f930,f150]) ).
thf(f37497,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f37493]) ).
thf(f37537,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_322 ),
inference(constrained_superposition,[],[f63,f17987]) ).
thf(f37545,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f37537]) ).
thf(f37549,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_13
| ~ spl0_322 ),
inference(forward_subsumption_resolution,[],[f37545,f560]) ).
thf(f37550,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_13
| ~ spl0_322
| spl0_333 ),
inference(forward_subsumption_resolution,[],[f37549,f37468]) ).
thf(f37551,plain,
( spl0_416
| spl0_13
| ~ spl0_322
| spl0_333 ),
inference(avatar_split_clause,[],[f37550,f18068,f17986,f178,f24094]) ).
thf(f37598,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_290
| ~ spl0_425 ),
inference(constrained_superposition,[],[f24988,f17340]) ).
thf(f37602,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_290
| ~ spl0_425 ),
inference(trivial_inequality_removal,[],[f37598]) ).
thf(f37605,plain,
( ~ spl0_107
| ~ spl0_290
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f37602,f24987,f17339,f2970]) ).
thf(f37607,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_456 ),
inference(constrained_superposition,[],[f34771,f151]) ).
thf(f37615,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_456 ),
inference(trivial_inequality_removal,[],[f37607]) ).
thf(f37617,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f87,f55]) ).
thf(f37621,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f37617]) ).
thf(f37664,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_186
| ~ spl0_291 ),
inference(constrained_superposition,[],[f8734,f17344]) ).
thf(f37668,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_186
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f37664]) ).
thf(f37677,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f63,f17354]) ).
thf(f37685,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f37677]) ).
thf(f37688,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_294
| spl0_318 ),
inference(forward_subsumption_resolution,[],[f37685,f17974]) ).
thf(f37690,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_294
| spl0_318
| spl0_333 ),
inference(forward_subsumption_resolution,[],[f37688,f37468]) ).
thf(f37691,plain,
( spl0_416
| ~ spl0_294
| spl0_318
| spl0_333 ),
inference(avatar_split_clause,[],[f37690,f18068,f17637,f17353,f24094]) ).
thf(f37780,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_57
| ~ spl0_185 ),
inference(constrained_superposition,[],[f970,f18268]) ).
thf(f37784,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_57
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f37780]) ).
thf(f37791,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_57
| ~ spl0_118
| ~ spl0_185 ),
inference(constrained_superposition,[],[f37784,f3487]) ).
thf(f37796,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_57
| ~ spl0_118
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f37791]) ).
thf(f37798,plain,
( $false
| ~ spl0_25
| ~ spl0_57
| ~ spl0_118
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f37796,f264]) ).
thf(f37799,plain,
( ~ spl0_25
| ~ spl0_57
| ~ spl0_118
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f37798]) ).
thf(f37808,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f63,f18575]) ).
thf(f37819,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f37808]) ).
thf(f37821,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_13
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f37819,f37007]) ).
thf(f37822,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| spl0_13
| spl0_318
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f37821,f17974]) ).
thf(f37823,plain,
( spl0_59
| spl0_13
| spl0_318
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f37822,f18574,f17637,f178,f1051]) ).
thf(f37851,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_96
| ~ spl0_111 ),
inference(constrained_superposition,[],[f2790,f3062]) ).
thf(f37854,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_96
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f37851]) ).
thf(f37860,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_80
| ~ spl0_96
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f37854,f37325]) ).
thf(f37861,plain,
( ~ spl0_107
| spl0_80
| ~ spl0_96
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f37860,f3061,f2789,f2432,f2970]) ).
thf(f37909,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_385 ),
inference(constrained_superposition,[],[f21512,f54]) ).
thf(f37915,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_385 ),
inference(trivial_inequality_removal,[],[f37909]) ).
thf(f37923,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_80
| ~ spl0_385 ),
inference(forward_subsumption_resolution,[],[f37915,f4626]) ).
thf(f37926,plain,
( $false
| spl0_13
| spl0_80
| ~ spl0_385 ),
inference(forward_subsumption_resolution,[],[f37923,f37007]) ).
thf(f37927,plain,
( spl0_13
| spl0_80
| ~ spl0_385 ),
inference(avatar_contradiction_clause,[],[f37926]) ).
thf(f37944,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_245
| ~ spl0_289 ),
inference(constrained_superposition,[],[f14696,f17337]) ).
thf(f37951,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_245
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f37944]) ).
thf(f37956,plain,
( $false
| ~ spl0_245
| ~ spl0_289
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f37951,f23536]) ).
thf(f37957,plain,
( ~ spl0_245
| ~ spl0_289
| ~ spl0_414 ),
inference(avatar_contradiction_clause,[],[f37956]) ).
thf(f37960,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_294
| spl0_333 ),
inference(forward_subsumption_resolution,[],[f37685,f37468]) ).
thf(f37961,plain,
( spl0_318
| spl0_416
| ~ spl0_294
| spl0_333 ),
inference(avatar_split_clause,[],[f37960,f18068,f17353,f24094,f17637]) ).
thf(f37968,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_318 ),
inference(constrained_superposition,[],[f539,f17638]) ).
thf(f37971,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f37968]) ).
thf(f37975,plain,
( spl0_354
| spl0_97
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f37971,f17637,f2820,f18574]) ).
thf(f37990,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_59
| ~ spl0_354 ),
inference(constrained_superposition,[],[f1052,f18575]) ).
thf(f38000,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_59
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f37990]) ).
thf(f38064,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_59
| ~ spl0_294
| ~ spl0_354 ),
inference(constrained_superposition,[],[f38000,f17354]) ).
thf(f38070,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_59
| ~ spl0_294
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f38064]) ).
thf(f38134,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_294 ),
inference(constrained_superposition,[],[f37621,f17354]) ).
thf(f38144,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f38134]) ).
thf(f38154,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_80
| ~ spl0_175 ),
inference(constrained_superposition,[],[f7681,f37325]) ).
thf(f38156,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_111
| ~ spl0_175 ),
inference(constrained_superposition,[],[f7681,f3062]) ).
thf(f38157,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_175 ),
inference(constrained_superposition,[],[f7681,f150]) ).
thf(f38162,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_111
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f38156]) ).
thf(f38165,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_80
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f38154]) ).
thf(f38166,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f38157]) ).
thf(f38168,plain,
( spl0_153
| ~ spl0_111
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f38162,f7680,f3061,f5374]) ).
thf(f38169,plain,
( spl0_154
| spl0_80
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f38165,f7680,f2432,f5378]) ).
thf(f38170,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_90
| ~ spl0_175 ),
inference(forward_subsumption_resolution,[],[f38166,f31067]) ).
thf(f38171,plain,
( spl0_153
| spl0_90
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f38170,f7680,f2638,f5374]) ).
thf(f38240,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_40
| ~ spl0_111 ),
inference(constrained_superposition,[],[f575,f3062]) ).
thf(f38243,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_40
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f38240]) ).
thf(f38279,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_13
| ~ spl0_149 ),
inference(constrained_superposition,[],[f5055,f37007]) ).
thf(f38284,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| spl0_13
| ~ spl0_149 ),
inference(duplicate_literal_removal,[],[f38279]) ).
thf(f38285,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_13
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f38284]) ).
thf(f38293,plain,
( spl0_49
| spl0_13
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f38285,f5054,f178,f781]) ).
thf(f38299,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_441 ),
inference(constrained_superposition,[],[f29493,f55]) ).
thf(f38303,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_441 ),
inference(duplicate_literal_removal,[],[f38299]) ).
thf(f38304,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_441 ),
inference(trivial_inequality_removal,[],[f38303]) ).
thf(f38320,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_69
| ~ spl0_336 ),
inference(constrained_superposition,[],[f2256,f18266]) ).
thf(f38321,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_69
| ~ spl0_311 ),
inference(constrained_superposition,[],[f2256,f17608]) ).
thf(f38322,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_69
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f38321]) ).
thf(f38323,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_69
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f38320]) ).
thf(f38324,plain,
( spl0_342
| ~ spl0_69
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f38322,f17607,f2255,f18230]) ).
thf(f38325,plain,
( spl0_295
| ~ spl0_69
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f38323,f18082,f2255,f17414]) ).
thf(f38360,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_437 ),
inference(constrained_superposition,[],[f28898,f54]) ).
thf(f38365,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_437 ),
inference(duplicate_literal_removal,[],[f38360]) ).
thf(f38366,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_437 ),
inference(trivial_inequality_removal,[],[f38365]) ).
thf(f38387,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_118
| ~ spl0_331 ),
inference(constrained_superposition,[],[f18054,f3487]) ).
thf(f38390,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_118
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f38387]) ).
thf(f38396,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_25
| ~ spl0_118
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f38390,f264]) ).
thf(f38397,plain,
( spl0_23
| ~ spl0_25
| ~ spl0_118
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f38396,f18053,f3486,f263,f252]) ).
thf(f38438,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_118
| ~ spl0_299 ),
inference(constrained_superposition,[],[f17438,f3487]) ).
thf(f38441,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_118
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f38438]) ).
thf(f38447,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_118
| ~ spl0_120
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f38441,f3494]) ).
thf(f38448,plain,
( spl0_23
| ~ spl0_118
| ~ spl0_120
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f38447,f17437,f3493,f3486,f252]) ).
thf(f38490,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_403 ),
inference(constrained_superposition,[],[f22479,f54]) ).
thf(f38493,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_403 ),
inference(constrained_superposition,[],[f22479,f150]) ).
thf(f38498,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_403 ),
inference(duplicate_literal_removal,[],[f38493]) ).
thf(f38499,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f38498]) ).
thf(f38504,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f38490]) ).
thf(f38507,plain,
( spl0_95
| spl0_307
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f38499,f22478,f17592,f2785]) ).
thf(f38512,plain,
( spl0_305
| ~ spl0_316
| ~ spl0_4
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f38144,f17353,f86,f17630,f17585]) ).
thf(f38513,plain,
( ~ spl0_304
| ~ spl0_59
| ~ spl0_294
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f38070,f18574,f17353,f1051,f17579]) ).
thf(f38514,plain,
( ~ spl0_333
| ~ spl0_186
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f37668,f17343,f8733,f18068]) ).
thf(f38515,plain,
( spl0_96
| spl0_333
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f38504,f22478,f18068,f2789]) ).
thf(f38538,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_222
| ~ spl0_333 ),
inference(constrained_superposition,[],[f11440,f18992]) ).
thf(f38542,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_222
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f38538]) ).
thf(f38550,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_304 ),
inference(constrained_superposition,[],[f37497,f22504]) ).
thf(f38565,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_52
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f38550]) ).
thf(f38579,plain,
( spl0_307
| ~ spl0_52
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f38565,f17579,f929,f17592]) ).
thf(f38644,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_292
| ~ spl0_423 ),
inference(constrained_superposition,[],[f24911,f17347]) ).
thf(f38672,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_292
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f38644]) ).
thf(f38679,plain,
( ~ spl0_308
| ~ spl0_292
| ~ spl0_423 ),
inference(avatar_split_clause,[],[f38672,f24910,f17346,f17596]) ).
thf(f38695,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_305
| ~ spl0_453 ),
inference(constrained_superposition,[],[f34384,f17586]) ).
thf(f38700,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_305
| ~ spl0_453 ),
inference(trivial_inequality_removal,[],[f38695]) ).
thf(f38706,plain,
( $false
| ~ spl0_305
| ~ spl0_318
| ~ spl0_453 ),
inference(forward_subsumption_resolution,[],[f38700,f17638]) ).
thf(f38707,plain,
( ~ spl0_305
| ~ spl0_318
| ~ spl0_453 ),
inference(avatar_contradiction_clause,[],[f38706]) ).
thf(f38734,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_185 ),
inference(constrained_superposition,[],[f36541,f18268]) ).
thf(f38744,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_11
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f38734]) ).
thf(f38749,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_111
| ~ spl0_216 ),
inference(constrained_superposition,[],[f10724,f3062]) ).
thf(f38754,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_111
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f38749]) ).
thf(f38815,plain,
( spl0_339
| ~ spl0_222
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f38542,f18068,f11439,f18100]) ).
thf(f38982,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_360 ),
inference(constrained_superposition,[],[f18802,f54]) ).
thf(f38989,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f38982]) ).
thf(f39019,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_363 ),
inference(constrained_superposition,[],[f18971,f55]) ).
thf(f39021,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_363 ),
inference(trivial_inequality_removal,[],[f39019]) ).
thf(f39025,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| spl0_80 ),
inference(constrained_superposition,[],[f37333,f35]) ).
thf(f39028,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_80 ),
inference(trivial_inequality_removal,[],[f39025]) ).
thf(f39036,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_305
| ~ spl0_373 ),
inference(constrained_superposition,[],[f19634,f17586]) ).
thf(f39039,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_305
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f39036]) ).
thf(f39046,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_25
| ~ spl0_305
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f39039,f264]) ).
thf(f39049,plain,
( spl0_114
| ~ spl0_25
| ~ spl0_305
| ~ spl0_373 ),
inference(avatar_split_clause,[],[f39046,f19633,f17585,f263,f3251]) ).
thf(f39064,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_291
| ~ spl0_356 ),
inference(constrained_superposition,[],[f18655,f17344]) ).
thf(f39070,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_291
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f39064]) ).
thf(f39076,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_291
| ~ spl0_318
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f39070,f17638]) ).
thf(f39081,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_291
| ~ spl0_318
| ~ spl0_356 ),
inference(constrained_superposition,[],[f39076,f17344]) ).
thf(f39085,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_291
| ~ spl0_318
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f39081]) ).
thf(f39092,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_291
| ~ spl0_318
| ~ spl0_356 ),
inference(constrained_superposition,[],[f39085,f37]) ).
thf(f39093,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_291
| ~ spl0_318
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f39092]) ).
thf(f39095,plain,
( spl0_345
| spl0_302
| ~ spl0_291
| ~ spl0_318
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f39093,f18654,f17637,f17343,f17572,f18241]) ).
thf(f39097,plain,
( spl0_204
| ~ spl0_107
| ~ spl0_40
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f38243,f3061,f574,f2970,f10196]) ).
thf(f39113,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_4
| ~ spl0_68 ),
inference(constrained_superposition,[],[f87,f18271]) ).
thf(f39128,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_4
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f39113]) ).
thf(f39132,plain,
( spl0_423
| ~ spl0_4
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f39128,f2203,f86,f24910]) ).
thf(f39134,plain,
( spl0_189
| spl0_323
| ~ spl0_11
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f38744,f8703,f171,f17992,f8766]) ).
thf(f39135,plain,
( spl0_106
| spl0_13
| spl0_80
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f37399,f3061,f2432,f178,f2965]) ).
thf(f39136,plain,
( ~ spl0_3
| spl0_84
| spl0_4
| spl0_80 ),
inference(avatar_split_clause,[],[f39028,f2432,f86,f2493,f83]) ).
thf(f39138,plain,
( spl0_120
| spl0_26
| ~ spl0_8
| ~ spl0_441 ),
inference(avatar_split_clause,[],[f38304,f29492,f116,f274,f3493]) ).
thf(f39140,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| spl0_80
| ~ spl0_111
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f38754,f37325]) ).
thf(f39142,plain,
( spl0_204
| ~ spl0_8
| spl0_305
| ~ spl0_363 ),
inference(avatar_split_clause,[],[f39021,f18970,f17585,f116,f10196]) ).
thf(f39144,plain,
( spl0_436
| spl0_120
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f37397,f3061,f3493,f28291]) ).
thf(f39148,plain,
( spl0_106
| spl0_80
| ~ spl0_111
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f39140,f10723,f3061,f2432,f2965]) ).
thf(f39156,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f26,f179]) ).
thf(f39157,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f39156]) ).
thf(f39162,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_25 ),
inference(constrained_superposition,[],[f29677,f37]) ).
thf(f39163,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_25 ),
inference(trivial_inequality_removal,[],[f39162]) ).
thf(f39164,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f39163,f31]) ).
thf(f39165,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_25 ),
inference(constrained_superposition,[],[f43,f39164]) ).
thf(f39170,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_25 ),
inference(trivial_inequality_removal,[],[f39165]) ).
thf(f39218,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_132
| ~ spl0_320 ),
inference(constrained_superposition,[],[f37246,f17648]) ).
thf(f39220,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_320 ),
inference(constrained_superposition,[],[f2246,f17648]) ).
thf(f39221,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X2 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_320 ),
inference(constrained_superposition,[],[f26,f17648]) ).
thf(f39224,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f39221]) ).
thf(f39225,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f39220]) ).
thf(f39226,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_132
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f39218]) ).
thf(f39227,plain,
( spl0_342
| spl0_343
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f39225,f17647,f18233,f18230]) ).
thf(f39228,plain,
( spl0_342
| ~ spl0_132
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f39226,f17647,f4026,f18230]) ).
thf(f39328,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f27,f17340]) ).
thf(f39333,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f39328]) ).
thf(f39343,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_322 ),
inference(constrained_superposition,[],[f27,f17987]) ).
thf(f39347,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f39343]) ).
thf(f39401,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_291 ),
inference(constrained_superposition,[],[f539,f17344]) ).
thf(f39404,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_291 ),
inference(constrained_superposition,[],[f26,f17344]) ).
thf(f39405,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f39404]) ).
thf(f39408,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f39401]) ).
thf(f39411,plain,
( spl0_373
| spl0_354
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f39408,f17343,f18574,f19633]) ).
thf(f39442,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_323
| ~ spl0_336 ),
inference(constrained_superposition,[],[f17993,f18266]) ).
thf(f39447,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_323
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f39442]) ).
thf(f39582,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_436 ),
inference(constrained_superposition,[],[f28292,f35]) ).
thf(f39589,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f39582]) ).
thf(f39628,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_291
| ~ spl0_343 ),
inference(constrained_superposition,[],[f18234,f17344]) ).
thf(f39633,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_291
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f39628]) ).
thf(f39638,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_291
| ~ spl0_336
| ~ spl0_343 ),
inference(forward_subsumption_resolution,[],[f39633,f18266]) ).
thf(f39643,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_291
| ~ spl0_336
| ~ spl0_343 ),
inference(constrained_superposition,[],[f39638,f17344]) ).
thf(f39646,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_291
| ~ spl0_336
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f39643]) ).
thf(f39654,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_291
| ~ spl0_336
| ~ spl0_343 ),
inference(constrained_superposition,[],[f39646,f37]) ).
thf(f39656,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_291
| ~ spl0_336
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f39654]) ).
thf(f39658,plain,
( spl0_302
| spl0_345
| ~ spl0_291
| ~ spl0_336
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f39656,f18233,f18082,f17343,f18241,f17572]) ).
thf(f39673,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_154 ),
inference(constrained_superposition,[],[f5379,f36]) ).
thf(f39677,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f39673]) ).
thf(f39679,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_153 ),
inference(constrained_superposition,[],[f5375,f36]) ).
thf(f39680,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_153 ),
inference(constrained_superposition,[],[f5375,f54]) ).
thf(f39683,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f39679]) ).
thf(f39684,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f39680]) ).
thf(f39814,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_368 ),
inference(constrained_superposition,[],[f19275,f35]) ).
thf(f39821,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f39814]) ).
thf(f39832,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_320
| ~ spl0_333 ),
inference(constrained_superposition,[],[f39224,f18992]) ).
thf(f39834,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_320 ),
inference(constrained_superposition,[],[f39224,f1944]) ).
thf(f39835,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f39834]) ).
thf(f39838,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_320
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f39832]) ).
thf(f39839,plain,
( spl0_240
| spl0_342
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f39835,f17647,f18230,f14086]) ).
thf(f39840,plain,
( spl0_63
| ~ spl0_320
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f39838,f18068,f17647,f2106]) ).
thf(f39841,plain,
( spl0_49
| spl0_318
| ~ spl0_437 ),
inference(avatar_split_clause,[],[f38366,f28897,f17637,f781]) ).
thf(f39844,plain,
( spl0_320
| ~ spl0_3
| spl0_136
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f39821,f19274,f4409,f83,f17647]) ).
thf(f39845,plain,
( spl0_45
| spl0_149
| spl0_25 ),
inference(avatar_split_clause,[],[f39170,f263,f5054,f605]) ).
thf(f39847,definition,
( spl0_461
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_461])],[avatar_definition]) ).
thf(f39848,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_461 ),
inference(avatar_component_clause,[],[f39847]) ).
thf(f39850,plain,
( ~ spl0_3
| spl0_136
| spl0_84
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f39589,f28291,f2493,f4409,f83]) ).
thf(f39879,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_118
| ~ spl0_448 ),
inference(constrained_superposition,[],[f34185,f3487]) ).
thf(f39888,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_118
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f39879]) ).
thf(f39891,plain,
( $false
| ~ spl0_13
| ~ spl0_118
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f39888,f179]) ).
thf(f39892,plain,
( ~ spl0_13
| ~ spl0_118
| ~ spl0_448 ),
inference(avatar_contradiction_clause,[],[f39891]) ).
thf(f39912,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_311 ),
inference(constrained_superposition,[],[f26,f17608]) ).
thf(f39914,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f39912]) ).
thf(f39923,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f937,f55]) ).
thf(f39928,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f39923]) ).
thf(f39968,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_143
| ~ spl0_360 ),
inference(constrained_superposition,[],[f18802,f4633]) ).
thf(f39977,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_143
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f39968]) ).
thf(f39982,plain,
( spl0_227
| ~ spl0_143
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f39977,f18801,f4632,f12401]) ).
thf(f39994,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_333 ),
inference(constrained_superposition,[],[f18069,f37]) ).
thf(f39995,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(trivial_inequality_removal,[],[f39994]) ).
thf(f39996,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(forward_subsumption_resolution,[],[f39995,f31]) ).
thf(f40001,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) )
| spl0_333 ),
inference(constrained_superposition,[],[f27,f39996]) ).
thf(f40004,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_333 ),
inference(trivial_inequality_removal,[],[f40001]) ).
thf(f40056,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f10197,f150]) ).
thf(f40066,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f40056]) ).
thf(f40069,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_90
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f40066,f31067]) ).
thf(f40070,plain,
( $false
| spl0_25
| spl0_90
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f40069,f39164]) ).
thf(f40071,plain,
( spl0_25
| spl0_90
| ~ spl0_204 ),
inference(avatar_contradiction_clause,[],[f40070]) ).
thf(f40073,plain,
( ~ spl0_19
| spl0_90
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f40069,f10196,f2638,f224]) ).
thf(f40079,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_25
| ~ spl0_57 ),
inference(constrained_superposition,[],[f970,f264]) ).
thf(f40080,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_25 ),
inference(constrained_superposition,[],[f36541,f264]) ).
thf(f40083,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_11
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f40080]) ).
thf(f40084,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f40079]) ).
thf(f40085,plain,
( spl0_114
| spl0_23
| ~ spl0_11
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f40083,f263,f171,f252,f3251]) ).
thf(f40086,plain,
( spl0_94
| ~ spl0_25
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f40084,f969,f263,f2728]) ).
thf(f40303,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_412 ),
inference(constrained_superposition,[],[f23233,f54]) ).
thf(f40311,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_412 ),
inference(trivial_inequality_removal,[],[f40303]) ).
thf(f40330,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_294
| ~ spl0_383 ),
inference(constrained_superposition,[],[f20911,f17354]) ).
thf(f40335,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_294
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f40330]) ).
thf(f40342,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_442 ),
inference(constrained_superposition,[],[f29497,f55]) ).
thf(f40346,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_442 ),
inference(trivial_inequality_removal,[],[f40342]) ).
thf(f40454,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_118
| ~ spl0_428 ),
inference(constrained_superposition,[],[f25630,f3487]) ).
thf(f40457,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_118
| ~ spl0_428 ),
inference(trivial_inequality_removal,[],[f40454]) ).
thf(f40461,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_25
| ~ spl0_118
| ~ spl0_428 ),
inference(forward_subsumption_resolution,[],[f40457,f264]) ).
thf(f40462,plain,
( spl0_137
| ~ spl0_25
| ~ spl0_118
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f40461,f25629,f3486,f263,f4450]) ).
thf(f40526,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f37395,f35]) ).
thf(f40528,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f37395,f55]) ).
thf(f40529,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f40526]) ).
thf(f40532,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f40528]) ).
thf(f40565,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_333 ),
inference(constrained_superposition,[],[f40004,f35]) ).
thf(f40570,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_333 ),
inference(trivial_inequality_removal,[],[f40565]) ).
thf(f40573,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_309
| spl0_333 ),
inference(constrained_superposition,[],[f17601,f39996]) ).
thf(f40584,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_309
| spl0_333 ),
inference(trivial_inequality_removal,[],[f40573]) ).
thf(f40593,plain,
( spl0_390
| ~ spl0_309
| spl0_333 ),
inference(avatar_split_clause,[],[f40584,f18068,f17600,f21978]) ).
thf(f40609,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_118
| ~ spl0_336 ),
inference(constrained_superposition,[],[f36604,f3487]) ).
thf(f40615,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_118
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f40609]) ).
thf(f40618,plain,
( spl0_192
| ~ spl0_118
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f40615,f18082,f3486,f8789]) ).
thf(f40620,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f8790,f151]) ).
thf(f40627,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f40620]) ).
thf(f40680,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_322 ),
inference(constrained_superposition,[],[f39347,f35]) ).
thf(f40683,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f40680]) ).
thf(f40691,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_305
| ~ spl0_311 ),
inference(constrained_superposition,[],[f39914,f17586]) ).
thf(f40694,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_305
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f40691]) ).
thf(f40701,plain,
( spl0_357
| ~ spl0_305
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f40694,f17607,f17585,f18659]) ).
thf(f40731,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_183
| ~ spl0_290 ),
inference(constrained_superposition,[],[f39333,f8685]) ).
thf(f40737,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_183
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f40731]) ).
thf(f40747,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_183
| ~ spl0_290 ),
inference(constrained_superposition,[],[f40737,f35]) ).
thf(f40750,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183
| ~ spl0_290
| ~ spl0_294 ),
inference(constrained_superposition,[],[f40737,f17354]) ).
thf(f40754,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183
| ~ spl0_290
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f40750]) ).
thf(f40755,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_183
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f40747]) ).
thf(f40759,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_342 ),
inference(avatar_component_clause,[],[f18230]) ).
thf(f40760,plain,
( ~ spl0_342
| spl0_433
| ~ spl0_183
| ~ spl0_290
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f40754,f17353,f17339,f8684,f26905,f18230]) ).
thf(f40761,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_142
| ~ spl0_183
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f40755,f4630]) ).
thf(f40762,plain,
( spl0_27
| ~ spl0_388
| spl0_142
| ~ spl0_183
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f40761,f17339,f8684,f4629,f21968,f278]) ).
thf(f40773,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_372 ),
inference(avatar_component_clause,[],[f19629]) ).
thf(f40802,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_14
| ~ spl0_183 ),
inference(constrained_superposition,[],[f182,f8685]) ).
thf(f40808,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_14
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f40802]) ).
thf(f40811,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_14
| ~ spl0_183
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f40808,f8704]) ).
thf(f40812,plain,
( spl0_381
| ~ spl0_14
| ~ spl0_183
| spl0_185 ),
inference(avatar_split_clause,[],[f40811,f8703,f8684,f181,f20511]) ).
thf(f40816,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_291 ),
inference(constrained_superposition,[],[f39405,f1944]) ).
thf(f40817,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_291
| ~ spl0_311 ),
inference(constrained_superposition,[],[f39405,f17608]) ).
thf(f40818,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f40816]) ).
thf(f40822,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_291
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f40817]) ).
thf(f40823,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_291
| spl0_342 ),
inference(forward_subsumption_resolution,[],[f40818,f40759]) ).
thf(f40824,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_291
| ~ spl0_311
| ~ spl0_414 ),
inference(constrained_superposition,[],[f40822,f23536]) ).
thf(f40831,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_291
| ~ spl0_311
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f40824]) ).
thf(f40836,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_11
| ~ spl0_291
| ~ spl0_311
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f40831,f172]) ).
thf(f40839,plain,
( spl0_448
| ~ spl0_11
| ~ spl0_291
| ~ spl0_311
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f40836,f23535,f17607,f17343,f171,f34184]) ).
thf(f40843,plain,
( spl0_433
| ~ spl0_364
| ~ spl0_294
| ~ spl0_383 ),
inference(avatar_split_clause,[],[f40335,f20910,f17353,f18974,f26905]) ).
thf(f40876,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_291
| spl0_342
| ~ spl0_414 ),
inference(constrained_superposition,[],[f40823,f23536]) ).
thf(f40884,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_291
| spl0_342
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f40876]) ).
thf(f40889,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_156
| ~ spl0_291
| spl0_342
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f40884,f24424]) ).
thf(f40891,plain,
( spl0_448
| ~ spl0_156
| ~ spl0_291
| spl0_342
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f40889,f23535,f18230,f17343,f5524,f34184]) ).
thf(f40894,plain,
( ~ spl0_3
| spl0_11
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f39677,f5378,f171,f83]) ).
thf(f40896,definition,
( spl0_462
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_462])],[avatar_definition]) ).
thf(f40897,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_462 ),
inference(avatar_component_clause,[],[f40896]) ).
thf(f40898,plain,
( spl0_342
| spl0_462
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f40818,f17343,f40896,f18230]) ).
thf(f40899,plain,
( ~ spl0_30
| ~ spl0_323
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f39447,f18082,f17992,f351]) ).
thf(f40902,plain,
( spl0_354
| ~ spl0_30
| ~ spl0_456 ),
inference(avatar_split_clause,[],[f37615,f34770,f351,f18574]) ).
thf(f40905,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_13
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f40627,f179]) ).
thf(f40907,plain,
( spl0_11
| ~ spl0_17
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f39683,f5374,f217,f171]) ).
thf(f40908,plain,
( spl0_16
| ~ spl0_17
| spl0_84
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f40529,f3061,f2493,f217,f214]) ).
thf(f40909,plain,
( spl0_124
| spl0_318
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f38989,f18801,f17637,f3692]) ).
thf(f40911,plain,
( spl0_320
| ~ spl0_3
| spl0_4
| spl0_333 ),
inference(avatar_split_clause,[],[f40570,f18068,f86,f83,f17647]) ).
thf(f40912,plain,
( spl0_320
| spl0_16
| ~ spl0_17
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f40683,f17986,f217,f214,f17647]) ).
thf(f40914,definition,
( spl0_463
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_463])],[avatar_definition]) ).
thf(f40915,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_463 ),
inference(avatar_component_clause,[],[f40914]) ).
thf(f40919,plain,
( spl0_354
| spl0_129
| ~ spl0_13
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f40905,f8789,f178,f3938,f18574]) ).
thf(f40928,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f26,f172]) ).
thf(f40930,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f40928]) ).
thf(f40974,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_183 ),
inference(constrained_superposition,[],[f39928,f8685]) ).
thf(f40977,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f48,f8685]) ).
thf(f40979,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f27,f8685]) ).
thf(f40981,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f40974]) ).
thf(f40982,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f40979]) ).
thf(f40984,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f40977]) ).
thf(f41019,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f48,f4633]) ).
thf(f41021,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f27,f4633]) ).
thf(f41023,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f41019]) ).
thf(f41024,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f41021]) ).
thf(f41060,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f539,f17337]) ).
thf(f41066,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f26,f17337]) ).
thf(f41071,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f41066]) ).
thf(f41073,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f41060]) ).
thf(f41075,plain,
( spl0_377
| spl0_112
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f41073,f17336,f3065,f19762]) ).
thf(f41080,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_295
| ~ spl0_442 ),
inference(constrained_superposition,[],[f29497,f17415]) ).
thf(f41084,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f63,f17415]) ).
thf(f41085,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f48,f17415]) ).
thf(f41090,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_295
| ~ spl0_442 ),
inference(trivial_inequality_removal,[],[f41080]) ).
thf(f41094,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f41085]) ).
thf(f41099,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f41084]) ).
thf(f41104,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_183
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f41099,f8685]) ).
thf(f41177,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_227
| ~ spl0_342 ),
inference(constrained_superposition,[],[f12402,f18231]) ).
thf(f41178,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_342
| ~ spl0_441 ),
inference(constrained_superposition,[],[f29493,f18231]) ).
thf(f41179,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_342
| ~ spl0_442 ),
inference(constrained_superposition,[],[f29497,f18231]) ).
thf(f41187,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_227
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f41177]) ).
thf(f41195,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_342
| ~ spl0_441 ),
inference(trivial_inequality_removal,[],[f41178]) ).
thf(f41198,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_342
| ~ spl0_442 ),
inference(trivial_inequality_removal,[],[f41179]) ).
thf(f41202,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_227
| ~ spl0_322
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f41187,f17987]) ).
thf(f41203,plain,
( spl0_433
| ~ spl0_364
| ~ spl0_342
| ~ spl0_441 ),
inference(avatar_split_clause,[],[f41195,f29492,f18230,f18974,f26905]) ).
thf(f41204,plain,
( ~ spl0_364
| spl0_447
| ~ spl0_342
| ~ spl0_442 ),
inference(avatar_split_clause,[],[f41198,f29496,f18230,f33508,f18974]) ).
thf(f41206,plain,
( ~ spl0_364
| ~ spl0_227
| ~ spl0_322
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f41202,f18230,f17986,f12401,f18974]) ).
thf(f41276,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_293
| ~ spl0_331 ),
inference(constrained_superposition,[],[f18054,f17351]) ).
thf(f41277,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_293
| ~ spl0_450 ),
inference(constrained_superposition,[],[f34194,f17351]) ).
thf(f41283,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_293
| ~ spl0_450 ),
inference(trivial_inequality_removal,[],[f41277]) ).
thf(f41287,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_293
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f41276]) ).
thf(f41290,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_307 ),
inference(avatar_component_clause,[],[f17592]) ).
thf(f41291,plain,
( ~ spl0_307
| spl0_329
| ~ spl0_293
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f41287,f18053,f17350,f18024,f17592]) ).
thf(f41297,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_293
| ~ spl0_450 ),
inference(constrained_superposition,[],[f41283,f56]) ).
thf(f41300,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_293
| ~ spl0_450 ),
inference(trivial_inequality_removal,[],[f41297]) ).
thf(f41302,plain,
( spl0_119
| spl0_345
| ~ spl0_293
| ~ spl0_450 ),
inference(avatar_split_clause,[],[f41300,f34193,f17350,f18241,f3490]) ).
thf(f41318,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_433 ),
inference(constrained_superposition,[],[f26906,f150]) ).
thf(f41324,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_433 ),
inference(trivial_inequality_removal,[],[f41318]) ).
thf(f41332,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_307
| ~ spl0_433 ),
inference(forward_subsumption_resolution,[],[f41324,f41290]) ).
thf(f41334,plain,
( ~ spl0_19
| spl0_307
| ~ spl0_433 ),
inference(avatar_split_clause,[],[f41332,f26905,f17592,f224]) ).
thf(f41340,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_451 ),
inference(constrained_superposition,[],[f34269,f36]) ).
thf(f41342,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_451 ),
inference(constrained_superposition,[],[f34269,f54]) ).
thf(f41344,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_451 ),
inference(constrained_superposition,[],[f34269,f150]) ).
thf(f41349,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_451 ),
inference(duplicate_literal_removal,[],[f41340]) ).
thf(f41350,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f41349]) ).
thf(f41351,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f41342]) ).
thf(f41352,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f41344]) ).
thf(f41359,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_90
| ~ spl0_451 ),
inference(forward_subsumption_resolution,[],[f41352,f31067]) ).
thf(f41363,plain,
( spl0_136
| spl0_90
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f41359,f34268,f2638,f4409]) ).
thf(f41380,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_342
| ~ spl0_447 ),
inference(constrained_superposition,[],[f33509,f18231]) ).
thf(f41390,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_342
| ~ spl0_447 ),
inference(trivial_inequality_removal,[],[f41380]) ).
thf(f41420,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_295
| ~ spl0_306 ),
inference(constrained_superposition,[],[f17590,f17415]) ).
thf(f41428,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_295
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f41420]) ).
thf(f41535,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f40982,f35]) ).
thf(f41538,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f41535]) ).
thf(f41573,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f41024,f55]) ).
thf(f41576,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f41573]) ).
thf(f41597,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_289
| ~ spl0_336 ),
inference(constrained_superposition,[],[f41071,f18266]) ).
thf(f41601,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_289
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f41597]) ).
thf(f41607,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_120
| ~ spl0_289
| ~ spl0_336 ),
inference(constrained_superposition,[],[f41601,f3494]) ).
thf(f41614,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_120
| ~ spl0_289
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f41607]) ).
thf(f41639,plain,
( spl0_118
| ~ spl0_54
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f40981,f8684,f936,f3486]) ).
thf(f41667,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_118
| ~ spl0_377 ),
inference(constrained_superposition,[],[f19763,f3487]) ).
thf(f41671,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_118
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f41667]) ).
thf(f41689,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_120
| ~ spl0_156
| ~ spl0_289
| ~ spl0_336 ),
inference(constrained_superposition,[],[f41614,f24424]) ).
thf(f41690,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_120
| ~ spl0_289
| ~ spl0_336 ),
inference(constrained_superposition,[],[f41614,f151]) ).
thf(f41697,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_120
| ~ spl0_289
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f41690]) ).
thf(f41699,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_120
| ~ spl0_156
| ~ spl0_289
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f41689]) ).
thf(f41701,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_120
| ~ spl0_289
| ~ spl0_336
| ~ spl0_342
| ~ spl0_447 ),
inference(forward_subsumption_resolution,[],[f41697,f41390]) ).
thf(f41702,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_13
| ~ spl0_120
| ~ spl0_156
| ~ spl0_289
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f41699,f179]) ).
thf(f41703,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_120
| ~ spl0_289
| ~ spl0_336
| ~ spl0_342
| ~ spl0_447 ),
inference(forward_subsumption_resolution,[],[f41701,f172]) ).
thf(f41704,plain,
( $false
| ~ spl0_11
| ~ spl0_13
| ~ spl0_120
| ~ spl0_156
| ~ spl0_289
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f41702,f172]) ).
thf(f41705,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_120
| ~ spl0_156
| ~ spl0_289
| ~ spl0_336 ),
inference(avatar_contradiction_clause,[],[f41704]) ).
thf(f41706,plain,
( $false
| ~ spl0_11
| ~ spl0_13
| ~ spl0_120
| ~ spl0_289
| ~ spl0_336
| ~ spl0_342
| ~ spl0_447 ),
inference(forward_subsumption_resolution,[],[f41703,f179]) ).
thf(f41707,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_120
| ~ spl0_289
| ~ spl0_336
| ~ spl0_342
| ~ spl0_447 ),
inference(avatar_contradiction_clause,[],[f41706]) ).
thf(f41733,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_290
| ~ spl0_451 ),
inference(constrained_superposition,[],[f34269,f17340]) ).
thf(f41736,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_143
| ~ spl0_290 ),
inference(constrained_superposition,[],[f41024,f17340]) ).
thf(f41746,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_290
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f41733]) ).
thf(f41753,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_143
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f41736]) ).
thf(f41757,plain,
( spl0_423
| ~ spl0_290
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f41746,f34268,f17339,f24910]) ).
thf(f41759,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_111
| ~ spl0_143
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f41753,f3062]) ).
thf(f41763,plain,
( spl0_175
| ~ spl0_111
| ~ spl0_143
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f41759,f17339,f4632,f3061,f7680]) ).
thf(f41765,plain,
( spl0_70
| spl0_151
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f41350,f34268,f5263,f2258]) ).
thf(f41766,plain,
( ~ spl0_301
| spl0_310
| spl0_1
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f40984,f8684,f67,f17604,f17569]) ).
thf(f41767,plain,
( spl0_120
| spl0_170
| ~ spl0_8
| ~ spl0_442 ),
inference(avatar_split_clause,[],[f40346,f29496,f116,f7030,f3493]) ).
thf(f41768,plain,
( ~ spl0_301
| spl0_398
| ~ spl0_295
| ~ spl0_442 ),
inference(avatar_split_clause,[],[f41090,f29496,f17414,f22334,f17569]) ).
thf(f41771,plain,
( ~ spl0_25
| spl0_114
| ~ spl0_118
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f41671,f19762,f3486,f3251,f263]) ).
thf(f41773,plain,
( spl0_310
| ~ spl0_301
| spl0_70
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f41094,f17414,f2258,f17569,f17604]) ).
thf(f41774,plain,
( spl0_120
| spl0_18
| ~ spl0_19
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f40532,f3061,f224,f221,f3493]) ).
thf(f41775,plain,
( spl0_80
| spl0_27
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f41351,f34268,f278,f2432]) ).
thf(f41776,plain,
( spl0_381
| spl0_80
| ~ spl0_183
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f41104,f17414,f8684,f2432,f20511]) ).
thf(f41782,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f5264,f28]) ).
thf(f41784,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f41782]) ).
thf(f41785,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_30
| ~ spl0_151 ),
inference(constrained_superposition,[],[f29476,f41784]) ).
thf(f41791,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_151 ),
inference(constrained_superposition,[],[f40930,f41784]) ).
thf(f41795,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_30
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f41785]) ).
thf(f41797,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_11
| ~ spl0_151 ),
inference(duplicate_literal_removal,[],[f41791]) ).
thf(f41798,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_11
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f41797]) ).
thf(f41803,plain,
( $false
| spl0_30
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f41795,f31]) ).
thf(f41804,plain,
( spl0_30
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f41803]) ).
thf(f41806,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f41798,f31]) ).
thf(f41809,plain,
( spl0_21
| spl0_22
| ~ spl0_11
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f41806,f5263,f171,f248,f245]) ).
thf(f41812,plain,
( spl0_4
| ~ spl0_3
| spl0_142
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f41538,f8684,f4629,f83,f86]) ).
thf(f41821,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_25 ),
inference(constrained_superposition,[],[f29677,f37]) ).
thf(f41822,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_25 ),
inference(trivial_inequality_removal,[],[f41821]) ).
thf(f41823,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f41822,f31]) ).
thf(f41838,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f2912,f35]) ).
thf(f41839,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f2912,f28]) ).
thf(f41840,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f41839]) ).
thf(f41841,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f41838]) ).
thf(f41843,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_60
| ~ spl0_442 ),
inference(constrained_superposition,[],[f29497,f4625]) ).
thf(f41857,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_60
| ~ spl0_442 ),
inference(trivial_inequality_removal,[],[f41843]) ).
thf(f41861,plain,
( spl0_170
| ~ spl0_8
| ~ spl0_60
| ~ spl0_442 ),
inference(avatar_split_clause,[],[f41857,f29496,f1989,f116,f7030]) ).
thf(f41873,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_142
| ~ spl0_377 ),
inference(constrained_superposition,[],[f19763,f17425]) ).
thf(f41875,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f26,f17425]) ).
thf(f41877,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X2 @ z )
!= $true ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f41875]) ).
thf(f41878,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_142
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f41873]) ).
thf(f41911,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f41841,f36]) ).
thf(f41914,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f41911]) ).
thf(f41922,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f3031,f55]) ).
thf(f41926,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f41922]) ).
thf(f41968,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_414 ),
inference(constrained_superposition,[],[f2368,f23536]) ).
thf(f41975,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_74
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f41968]) ).
thf(f41980,plain,
( ~ spl0_118
| ~ spl0_74
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f41975,f23535,f2367,f3486]) ).
thf(f41981,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_25
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f41576,f41823]) ).
thf(f41982,plain,
( spl0_118
| spl0_18
| spl0_25
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f41981,f4632,f263,f221,f3486]) ).
thf(f42021,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_320
| ~ spl0_373 ),
inference(constrained_superposition,[],[f19634,f17648]) ).
thf(f42026,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_320
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f42021]) ).
thf(f42035,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f166,f18271]) ).
thf(f42046,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f42035]) ).
thf(f42050,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_25
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f42046,f41823]) ).
thf(f42052,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_25
| ~ spl0_68
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f42050,f8704]) ).
thf(f42054,plain,
( spl0_18
| spl0_25
| ~ spl0_68
| spl0_185 ),
inference(avatar_split_clause,[],[f42052,f8703,f2203,f263,f221]) ).
thf(f42064,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_98 ),
inference(constrained_superposition,[],[f2898,f55]) ).
thf(f42070,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f42064]) ).
thf(f42083,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f26,f17337]) ).
thf(f42085,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f42083]) ).
thf(f42103,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_322 ),
inference(constrained_superposition,[],[f27,f17987]) ).
thf(f42108,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f42103]) ).
thf(f42172,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_342 ),
inference(constrained_superposition,[],[f27,f18231]) ).
thf(f42173,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true ) )
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f42172]) ).
thf(f42234,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_295
| ~ spl0_306 ),
inference(constrained_superposition,[],[f41428,f17415]) ).
thf(f42235,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_295
| ~ spl0_306
| ~ spl0_342 ),
inference(constrained_superposition,[],[f41428,f18231]) ).
thf(f42241,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_295
| ~ spl0_306
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f42235]) ).
thf(f42243,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_295
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f42234]) ).
thf(f42343,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f41840,f28]) ).
thf(f42345,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_102 ),
inference(duplicate_literal_removal,[],[f42343]) ).
thf(f42346,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f42345]) ).
thf(f42476,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_295
| ~ spl0_401 ),
inference(constrained_superposition,[],[f22471,f17415]) ).
thf(f42485,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_295
| ~ spl0_401 ),
inference(trivial_inequality_removal,[],[f42476]) ).
thf(f42763,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_322 ),
inference(constrained_superposition,[],[f42108,f55]) ).
thf(f42765,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f42763]) ).
thf(f42772,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_289
| ~ spl0_291 ),
inference(constrained_superposition,[],[f42085,f17344]) ).
thf(f42773,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_289
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f42772]) ).
thf(f42779,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_289
| ~ spl0_291 ),
inference(constrained_superposition,[],[f42773,f151]) ).
thf(f42784,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_289
| ~ spl0_291
| ~ spl0_320 ),
inference(constrained_superposition,[],[f42773,f17648]) ).
thf(f42789,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_289
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f42779]) ).
thf(f42791,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_289
| ~ spl0_291
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f42784]) ).
thf(f42792,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_156
| ~ spl0_289
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f42789,f24424]) ).
thf(f42794,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_84
| ~ spl0_289
| ~ spl0_291
| ~ spl0_320 ),
inference(forward_subsumption_resolution,[],[f42791,f2494]) ).
thf(f42795,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_156
| ~ spl0_289
| ~ spl0_291
| ~ spl0_295
| ~ spl0_306
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f42792,f42241]) ).
thf(f42797,plain,
( spl0_132
| ~ spl0_84
| ~ spl0_289
| ~ spl0_291
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f42794,f17647,f17343,f17336,f2493,f4026]) ).
thf(f42798,plain,
( spl0_128
| ~ spl0_156
| ~ spl0_289
| ~ spl0_291
| ~ spl0_295
| ~ spl0_306
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f42795,f18230,f17589,f17414,f17343,f17336,f5524,f3935]) ).
thf(f42799,plain,
( spl0_423
| ~ spl0_183
| ~ spl0_295
| ~ spl0_401 ),
inference(avatar_split_clause,[],[f42485,f22470,f17414,f8684,f24910]) ).
thf(f42809,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_289
| ~ spl0_318 ),
inference(constrained_superposition,[],[f42085,f17638]) ).
thf(f42815,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_289
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f42809]) ).
thf(f42831,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f63,f17347]) ).
thf(f42844,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f42831]) ).
thf(f42858,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_293
| ~ spl0_298 ),
inference(constrained_superposition,[],[f17428,f17351]) ).
thf(f42869,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_293
| ~ spl0_298 ),
inference(trivial_inequality_removal,[],[f42858]) ).
thf(f42871,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_293
| ~ spl0_298
| ~ spl0_372 ),
inference(forward_subsumption_resolution,[],[f42869,f40773]) ).
thf(f42872,plain,
( spl0_334
| ~ spl0_293
| ~ spl0_298
| ~ spl0_372 ),
inference(avatar_split_clause,[],[f42871,f19629,f17427,f17350,f18073]) ).
thf(f42913,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_84
| ~ spl0_289
| ~ spl0_318 ),
inference(constrained_superposition,[],[f42815,f2494]) ).
thf(f42917,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_84
| ~ spl0_289
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f42913]) ).
thf(f42922,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_156
| ~ spl0_289
| ~ spl0_318 ),
inference(constrained_superposition,[],[f42917,f24424]) ).
thf(f42929,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_84
| ~ spl0_156
| ~ spl0_289
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f42922]) ).
thf(f42936,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_84
| ~ spl0_156
| ~ spl0_289
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f42929,f172]) ).
thf(f42938,plain,
( $false
| ~ spl0_11
| ~ spl0_13
| ~ spl0_84
| ~ spl0_156
| ~ spl0_289
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f42936,f179]) ).
thf(f42939,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_84
| ~ spl0_156
| ~ spl0_289
| ~ spl0_318 ),
inference(avatar_contradiction_clause,[],[f42938]) ).
thf(f42943,plain,
( ~ spl0_183
| spl0_381
| spl0_80
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f41099,f17414,f2432,f20511,f8684]) ).
thf(f42947,plain,
( spl0_381
| spl0_333
| ~ spl0_183
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f42844,f17346,f8684,f18068,f20511]) ).
thf(f42958,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_80 ),
inference(constrained_superposition,[],[f4626,f37]) ).
thf(f42959,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_80 ),
inference(trivial_inequality_removal,[],[f42958]) ).
thf(f42960,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_80 ),
inference(forward_subsumption_resolution,[],[f42959,f31]) ).
thf(f42964,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( $true != $true )
| ( ( r @ X3 @ ( s @ z ) )
!= $true ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f26,f500]) ).
thf(f42968,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X3 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f42964]) ).
thf(f42972,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| spl0_80 ),
inference(constrained_superposition,[],[f48,f42960]) ).
thf(f42977,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_80 ),
inference(trivial_inequality_removal,[],[f42972]) ).
thf(f42981,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| spl0_1
| spl0_80 ),
inference(forward_subsumption_resolution,[],[f42977,f140]) ).
thf(f42982,plain,
( spl0_108
| ~ spl0_107
| spl0_1
| spl0_80 ),
inference(avatar_split_clause,[],[f42981,f2432,f67,f2970,f2973]) ).
thf(f43151,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_131
| ~ spl0_342 ),
inference(constrained_superposition,[],[f3980,f18231]) ).
thf(f43159,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_131
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f43151]) ).
thf(f43390,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_36
| ~ spl0_293 ),
inference(constrained_superposition,[],[f42968,f17351]) ).
thf(f43395,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_36
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f43390]) ).
thf(f43405,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_36
| ~ spl0_293
| ~ spl0_414 ),
inference(constrained_superposition,[],[f43395,f23536]) ).
thf(f43406,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_36
| ~ spl0_293 ),
inference(constrained_superposition,[],[f43395,f151]) ).
thf(f43418,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_36
| ~ spl0_293
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f43405]) ).
thf(f43424,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_36
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f43406]) ).
thf(f43427,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_13
| ~ spl0_36
| ~ spl0_293
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f43418,f179]) ).
thf(f43429,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_36
| ~ spl0_293
| ~ spl0_295
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f43424,f42243]) ).
thf(f43432,plain,
( spl0_39
| ~ spl0_13
| ~ spl0_36
| ~ spl0_293
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f43427,f23535,f17350,f499,f178,f558]) ).
thf(f43434,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_13
| ~ spl0_36
| ~ spl0_293
| ~ spl0_295
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f43429,f179]) ).
thf(f43436,plain,
( spl0_39
| ~ spl0_13
| ~ spl0_36
| ~ spl0_293
| ~ spl0_295
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f43434,f17589,f17414,f17350,f499,f178,f558]) ).
thf(f43440,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_36
| ~ spl0_420 ),
inference(constrained_superposition,[],[f42968,f24473]) ).
thf(f43449,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_36
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f43440]) ).
thf(f43450,plain,
( spl0_384
| ~ spl0_36
| ~ spl0_420 ),
inference(avatar_split_clause,[],[f43449,f24472,f499,f21360]) ).
thf(f43452,plain,
( spl0_25
| ~ spl0_3
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f41926,f3030,f83,f263]) ).
thf(f43526,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_108
| ~ spl0_290 ),
inference(constrained_superposition,[],[f2974,f17340]) ).
thf(f43527,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f105,f17340]) ).
thf(f43529,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_290
| ~ spl0_386 ),
inference(constrained_superposition,[],[f21524,f17340]) ).
thf(f43530,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_290
| ~ spl0_445 ),
inference(constrained_superposition,[],[f31554,f17340]) ).
thf(f43531,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_290
| ~ spl0_455 ),
inference(constrained_superposition,[],[f34712,f17340]) ).
thf(f43535,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f63,f17340]) ).
thf(f43538,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f27,f17340]) ).
thf(f43540,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f43538]) ).
thf(f43542,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f43527]) ).
thf(f43543,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_290
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f43531]) ).
thf(f43545,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_290
| ~ spl0_445 ),
inference(trivial_inequality_removal,[],[f43530]) ).
thf(f43546,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_290
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f43529]) ).
thf(f43549,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_108
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f43526]) ).
thf(f43550,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f43535]) ).
thf(f43552,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| spl0_80
| ~ spl0_290
| ~ spl0_455 ),
inference(forward_subsumption_resolution,[],[f43543,f42960]) ).
thf(f43553,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_80
| ~ spl0_290
| ~ spl0_445 ),
inference(forward_subsumption_resolution,[],[f43545,f42960]) ).
thf(f43554,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_80
| ~ spl0_290
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f43546,f42960]) ).
thf(f43558,plain,
( spl0_417
| spl0_80
| ~ spl0_290
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f43552,f34711,f17339,f2432,f24137]) ).
thf(f43559,plain,
( spl0_204
| spl0_80
| ~ spl0_290
| ~ spl0_445 ),
inference(avatar_split_clause,[],[f43553,f31553,f17339,f2432,f10196]) ).
thf(f43560,plain,
( spl0_385
| spl0_80
| ~ spl0_290
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f43554,f21523,f17339,f2432,f21511]) ).
thf(f43571,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_108
| ~ spl0_290 ),
inference(constrained_superposition,[],[f43549,f55]) ).
thf(f43575,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_108
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f43571]) ).
thf(f43779,plain,
( spl0_429
| spl0_120
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f43542,f17339,f3493,f25634]) ).
thf(f43783,plain,
( ~ spl0_3
| spl0_118
| ~ spl0_108
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f43575,f17339,f2973,f3486,f83]) ).
thf(f43784,plain,
( ~ spl0_3
| spl0_120
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f42070,f2897,f3493,f83]) ).
thf(f43859,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_349
| ~ spl0_414 ),
inference(constrained_superposition,[],[f18374,f23536]) ).
thf(f43860,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_349 ),
inference(constrained_superposition,[],[f18374,f151]) ).
thf(f43871,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_349
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f43859]) ).
thf(f43874,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_349 ),
inference(trivial_inequality_removal,[],[f43860]) ).
thf(f43877,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f41877,f1944]) ).
thf(f43879,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f43877]) ).
thf(f43881,plain,
( spl0_240
| spl0_295
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f43879,f4629,f17414,f14086]) ).
thf(f43884,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| spl0_80
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f43550,f42960]) ).
thf(f43885,plain,
( spl0_18
| spl0_305
| ~ spl0_19
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f42765,f17986,f224,f17585,f221]) ).
thf(f43886,plain,
( ~ spl0_304
| ~ spl0_131
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f43159,f18230,f3979,f17579]) ).
thf(f43887,plain,
( spl0_318
| spl0_106
| spl0_80
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f43884,f17339,f2432,f2965,f17637]) ).
thf(f43901,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_13
| ~ spl0_30 ),
inference(constrained_superposition,[],[f39157,f352]) ).
thf(f43902,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_11
| ~ spl0_30 ),
inference(constrained_superposition,[],[f40930,f352]) ).
thf(f43906,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_13
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f43901]) ).
thf(f43909,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_11
| ~ spl0_30 ),
inference(duplicate_literal_removal,[],[f43902]) ).
thf(f43910,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_11
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f43909]) ).
thf(f43911,plain,
( spl0_21
| spl0_23
| ~ spl0_13
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f43906,f351,f178,f252,f245]) ).
thf(f43912,plain,
( spl0_22
| spl0_21
| ~ spl0_11
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f43910,f351,f171,f245,f248]) ).
thf(f43923,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_25 ),
inference(constrained_superposition,[],[f29677,f37]) ).
thf(f43924,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_25 ),
inference(trivial_inequality_removal,[],[f43923]) ).
thf(f43925,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f43924,f31]) ).
thf(f43931,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_25 ),
inference(constrained_superposition,[],[f27,f43925]) ).
thf(f43934,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| spl0_25 ),
inference(trivial_inequality_removal,[],[f43931]) ).
thf(f43947,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f27,f4625]) ).
thf(f43957,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f43947]) ).
thf(f43991,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f27,f18271]) ).
thf(f44000,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f43991]) ).
thf(f44057,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_304 ),
inference(constrained_superposition,[],[f166,f22504]) ).
thf(f44069,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f44057]) ).
thf(f44237,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f539,f41914]) ).
thf(f44252,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( r @ X3 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ X2 )
!= $true ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f26,f41914]) ).
thf(f44264,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f44237]) ).
thf(f44267,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ X2 )
!= $true ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f44252]) ).
thf(f44342,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_290
| ~ spl0_386 ),
inference(constrained_superposition,[],[f21524,f17340]) ).
thf(f44348,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_290
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f44342]) ).
thf(f44433,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_25 ),
inference(constrained_superposition,[],[f43934,f36]) ).
thf(f44438,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| spl0_25 ),
inference(trivial_inequality_removal,[],[f44433]) ).
thf(f44459,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_142
| ~ spl0_428 ),
inference(constrained_superposition,[],[f25630,f17425]) ).
thf(f44461,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_102
| ~ spl0_428 ),
inference(constrained_superposition,[],[f25630,f42346]) ).
thf(f44463,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_142
| ~ spl0_428 ),
inference(trivial_inequality_removal,[],[f44459]) ).
thf(f44467,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_102
| ~ spl0_428 ),
inference(trivial_inequality_removal,[],[f44461]) ).
thf(f44519,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f43957,f54]) ).
thf(f44525,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f44519]) ).
thf(f44537,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_142
| ~ spl0_188 ),
inference(constrained_superposition,[],[f8751,f17425]) ).
thf(f44541,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_142
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f44537]) ).
thf(f44548,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f44000,f54]) ).
thf(f44554,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f44548]) ).
thf(f44559,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f43540,f36]) ).
thf(f44560,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f43540,f54]) ).
thf(f44561,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_143
| ~ spl0_290 ),
inference(constrained_superposition,[],[f43540,f4633]) ).
thf(f44562,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f43540,f150]) ).
thf(f44565,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f44560]) ).
thf(f44566,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_143
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f44561]) ).
thf(f44568,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f44562]) ).
thf(f44569,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f44559]) ).
thf(f44572,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_290
| spl0_336 ),
inference(forward_subsumption_resolution,[],[f44569,f18083]) ).
thf(f44577,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_290
| ~ spl0_294
| spl0_336 ),
inference(constrained_superposition,[],[f44572,f17354]) ).
thf(f44578,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_68
| ~ spl0_290
| spl0_336 ),
inference(constrained_superposition,[],[f44572,f18271]) ).
thf(f44579,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_290
| spl0_336 ),
inference(constrained_superposition,[],[f44572,f55]) ).
thf(f44584,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_68
| ~ spl0_290
| spl0_336 ),
inference(trivial_inequality_removal,[],[f44578]) ).
thf(f44585,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_290
| ~ spl0_294
| spl0_336 ),
inference(trivial_inequality_removal,[],[f44577]) ).
thf(f44586,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_290
| spl0_336 ),
inference(trivial_inequality_removal,[],[f44579]) ).
thf(f44588,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_60
| ~ spl0_68
| ~ spl0_290
| spl0_336 ),
inference(forward_subsumption_resolution,[],[f44584,f4625]) ).
thf(f44589,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_290
| ~ spl0_294
| spl0_336
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f44585,f18231]) ).
thf(f44590,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_60
| ~ spl0_290
| spl0_336 ),
inference(forward_subsumption_resolution,[],[f44586,f4625]) ).
thf(f44591,plain,
( spl0_27
| ~ spl0_60
| ~ spl0_68
| ~ spl0_290
| spl0_336 ),
inference(avatar_split_clause,[],[f44588,f18082,f17339,f2203,f1989,f278]) ).
thf(f44592,plain,
( spl0_315
| ~ spl0_290
| ~ spl0_294
| spl0_336
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f44589,f18230,f18082,f17353,f17339,f17627]) ).
thf(f44593,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_60
| spl0_118
| ~ spl0_290
| spl0_336 ),
inference(forward_subsumption_resolution,[],[f44590,f24981]) ).
thf(f44594,plain,
( spl0_27
| ~ spl0_60
| spl0_118
| ~ spl0_290
| spl0_336 ),
inference(avatar_split_clause,[],[f44593,f18082,f17339,f3486,f1989,f278]) ).
thf(f44636,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_143
| ~ spl0_290 ),
inference(constrained_superposition,[],[f44566,f55]) ).
thf(f44642,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_143
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f44636]) ).
thf(f44647,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_304
| ~ spl0_342 ),
inference(constrained_superposition,[],[f42173,f22504]) ).
thf(f44648,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_342 ),
inference(constrained_superposition,[],[f42173,f55]) ).
thf(f44649,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f44648]) ).
thf(f44651,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_304
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f44647]) ).
thf(f44654,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_60
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f44649,f4625]) ).
thf(f44655,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_60
| ~ spl0_304
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f44651,f4625]) ).
thf(f44656,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_60
| spl0_305
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f44654,f26229]) ).
thf(f44657,plain,
( spl0_190
| ~ spl0_60
| ~ spl0_304
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f44655,f18230,f17579,f1989,f8772]) ).
thf(f44658,plain,
( spl0_190
| ~ spl0_60
| spl0_305
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f44656,f18230,f17585,f1989,f8772]) ).
thf(f44678,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_293
| ~ spl0_351 ),
inference(constrained_superposition,[],[f18416,f17351]) ).
thf(f44694,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_293
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f44678]) ).
thf(f44697,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_293
| ~ spl0_333
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f44694,f18992]) ).
thf(f44699,plain,
( spl0_422
| ~ spl0_293
| ~ spl0_333
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f44697,f18415,f18068,f17350,f24840]) ).
thf(f44719,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_142
| ~ spl0_448 ),
inference(constrained_superposition,[],[f34185,f17425]) ).
thf(f44721,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_102
| ~ spl0_448 ),
inference(constrained_superposition,[],[f34185,f42346]) ).
thf(f44722,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_102
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f44721]) ).
thf(f44726,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_142
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f44719]) ).
thf(f44730,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_102
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f44722,f172]) ).
thf(f44731,plain,
( $false
| ~ spl0_11
| ~ spl0_142
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f44726,f172]) ).
thf(f44732,plain,
( ~ spl0_11
| ~ spl0_142
| ~ spl0_448 ),
inference(avatar_contradiction_clause,[],[f44731]) ).
thf(f44737,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_102
| spl0_336
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f44730,f18083]) ).
thf(f44738,plain,
( $false
| ~ spl0_11
| ~ spl0_102
| spl0_336
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f44737,f31]) ).
thf(f44739,plain,
( ~ spl0_11
| ~ spl0_102
| spl0_336
| ~ spl0_448 ),
inference(avatar_contradiction_clause,[],[f44738]) ).
thf(f44740,plain,
( spl0_354
| spl0_245
| ~ spl0_11
| ~ spl0_349 ),
inference(avatar_split_clause,[],[f43874,f18373,f171,f14695,f18574]) ).
thf(f44741,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_30
| ~ spl0_102
| ~ spl0_428 ),
inference(forward_subsumption_resolution,[],[f44467,f352]) ).
thf(f44742,plain,
( spl0_310
| spl0_11
| ~ spl0_301
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f41023,f4632,f17569,f171,f17604]) ).
thf(f44743,plain,
( spl0_245
| ~ spl0_11
| ~ spl0_349
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f43871,f23535,f18373,f171,f14695]) ).
thf(f44744,plain,
( ~ spl0_141
| spl0_385
| ~ spl0_290
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f44348,f21523,f17339,f21511,f4613]) ).
thf(f44746,plain,
( spl0_80
| spl0_122
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f44525,f1989,f3597,f2432]) ).
thf(f44747,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_30
| ~ spl0_142
| ~ spl0_428 ),
inference(forward_subsumption_resolution,[],[f44463,f352]) ).
thf(f44749,plain,
( spl0_152
| spl0_11
| spl0_25 ),
inference(avatar_split_clause,[],[f44438,f263,f171,f5308]) ).
thf(f44751,definition,
( spl0_464
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_464])],[avatar_definition]) ).
thf(f44752,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_464 ),
inference(avatar_component_clause,[],[f44751]) ).
thf(f44753,plain,
( spl0_464
| spl0_336
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f44569,f17339,f18082,f44751]) ).
thf(f44755,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_118
| ~ spl0_143
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f44642,f24981]) ).
thf(f44756,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_30
| ~ spl0_102
| ~ spl0_428 ),
inference(forward_subsumption_resolution,[],[f44741,f31]) ).
thf(f44758,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_60
| spl0_118
| ~ spl0_143
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f44755,f4625]) ).
thf(f44760,definition,
( spl0_465
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_465])],[avatar_definition]) ).
thf(f44761,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_465 ),
inference(avatar_component_clause,[],[f44760]) ).
thf(f44762,plain,
( spl0_465
| spl0_336
| ~ spl0_30
| ~ spl0_102
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f44756,f25629,f2911,f351,f18082,f44760]) ).
thf(f44763,plain,
( spl0_170
| ~ spl0_60
| spl0_118
| ~ spl0_143
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f44758,f17339,f4632,f3486,f1989,f7030]) ).
thf(f44765,definition,
( spl0_466
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_466])],[avatar_definition]) ).
thf(f44766,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_466 ),
inference(avatar_component_clause,[],[f44765]) ).
thf(f44767,plain,
( spl0_318
| spl0_466
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f44565,f17339,f44765,f17637]) ).
thf(f44770,plain,
( spl0_333
| spl0_154
| ~ spl0_412 ),
inference(avatar_split_clause,[],[f40311,f23232,f5378,f18068]) ).
thf(f44771,plain,
( spl0_318
| spl0_445
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f44554,f2203,f31553,f17637]) ).
thf(f44775,plain,
( spl0_104
| spl0_93
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f44264,f2911,f2697,f2940]) ).
thf(f44777,definition,
( spl0_467
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_467])],[avatar_definition]) ).
thf(f44778,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_467 ),
inference(avatar_component_clause,[],[f44777]) ).
thf(f44779,plain,
( spl0_467
| spl0_185
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f44568,f17339,f8703,f44777]) ).
thf(f44780,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_30
| ~ spl0_142
| ~ spl0_377 ),
inference(forward_subsumption_resolution,[],[f41878,f352]) ).
thf(f44782,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_30
| ~ spl0_320
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f42026,f352]) ).
thf(f44784,plain,
( spl0_21
| ~ spl0_30
| ~ spl0_142
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f44780,f19762,f4629,f351,f245]) ).
thf(f44786,plain,
( spl0_21
| ~ spl0_30
| ~ spl0_320
| ~ spl0_373 ),
inference(avatar_split_clause,[],[f44782,f19633,f17647,f351,f245]) ).
thf(f44814,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_11
| ~ spl0_102 ),
inference(constrained_superposition,[],[f497,f41914]) ).
thf(f44815,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_11
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f44814]) ).
thf(f44879,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_13
| ~ spl0_185 ),
inference(constrained_superposition,[],[f39157,f18268]) ).
thf(f44886,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_13
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f44879]) ).
thf(f44891,plain,
( spl0_187
| spl0_323
| ~ spl0_13
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f44886,f8703,f178,f17992,f8736]) ).
thf(f44896,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f105,f18575]) ).
thf(f44897,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f43,f18575]) ).
thf(f44899,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_354
| ~ spl0_455 ),
inference(constrained_superposition,[],[f34712,f18575]) ).
thf(f44904,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f48,f18575]) ).
thf(f44907,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_354
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f44899]) ).
thf(f44909,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f44896]) ).
thf(f44911,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f44897]) ).
thf(f44914,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f44904]) ).
thf(f44947,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_111
| ~ spl0_150 ),
inference(constrained_superposition,[],[f5238,f3062]) ).
thf(f44955,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_111
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f44947]) ).
thf(f44956,plain,
( spl0_465
| ~ spl0_30
| ~ spl0_142
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f44747,f25629,f4629,f351,f44760]) ).
thf(f45042,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_84
| ~ spl0_202 ),
inference(constrained_superposition,[],[f9963,f2494]) ).
thf(f45045,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_102
| ~ spl0_202 ),
inference(constrained_superposition,[],[f9963,f42346]) ).
thf(f45048,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f45042]) ).
thf(f45055,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_102
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f45045]) ).
thf(f45059,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_102
| ~ spl0_202 ),
inference(forward_subsumption_resolution,[],[f45055,f31]) ).
thf(f45066,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_30
| ~ spl0_84
| ~ spl0_202 ),
inference(forward_subsumption_resolution,[],[f45048,f352]) ).
thf(f45067,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_70
| ~ spl0_102
| ~ spl0_202 ),
inference(forward_subsumption_resolution,[],[f45059,f2259]) ).
thf(f45068,plain,
( spl0_21
| ~ spl0_30
| ~ spl0_84
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f45066,f9962,f2493,f351,f245]) ).
thf(f45069,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_30
| spl0_70
| ~ spl0_102
| ~ spl0_202 ),
inference(forward_subsumption_resolution,[],[f45067,f352]) ).
thf(f45070,plain,
( spl0_21
| ~ spl0_30
| spl0_70
| ~ spl0_102
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f45069,f9962,f2911,f2258,f351,f245]) ).
thf(f45071,plain,
( ~ spl0_141
| ~ spl0_111
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f44955,f5237,f3061,f4613]) ).
thf(f45073,plain,
( spl0_13
| ~ spl0_19
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f39684,f5374,f224,f178]) ).
thf(f45075,plain,
( ~ spl0_19
| spl0_18
| spl0_307
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f44069,f17579,f17592,f221,f224]) ).
thf(f45076,plain,
( spl0_23
| spl0_456
| ~ spl0_142
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f44541,f8750,f4629,f34770,f252]) ).
thf(f45079,plain,
( spl0_136
| ~ spl0_89
| ~ spl0_354
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f44907,f34711,f18574,f2609,f4409]) ).
thf(f45083,plain,
( spl0_25
| spl0_438
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f44909,f18574,f29288,f263]) ).
thf(f45095,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_13 ),
inference(constrained_superposition,[],[f560,f37]) ).
thf(f45096,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f45095]) ).
thf(f45097,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f45096,f31]) ).
thf(f45102,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| spl0_13 ),
inference(constrained_superposition,[],[f48,f45097]) ).
thf(f45111,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f45102]) ).
thf(f45190,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f937,f36]) ).
thf(f45195,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f45190]) ).
thf(f45274,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_102
| ~ spl0_415 ),
inference(constrained_superposition,[],[f44267,f23550]) ).
thf(f45280,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_102
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f45274]) ).
thf(f45349,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_186
| ~ spl0_336 ),
inference(constrained_superposition,[],[f8734,f18266]) ).
thf(f45353,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_186
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f45349]) ).
thf(f45358,plain,
( $false
| ~ spl0_45
| ~ spl0_186
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f45353,f606]) ).
thf(f45359,plain,
( ~ spl0_45
| ~ spl0_186
| ~ spl0_336 ),
inference(avatar_contradiction_clause,[],[f45358]) ).
thf(f45366,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_118
| ~ spl0_188 ),
inference(constrained_superposition,[],[f8751,f3487]) ).
thf(f45368,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_118
| ~ spl0_456 ),
inference(constrained_superposition,[],[f34771,f3487]) ).
thf(f45376,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_118
| ~ spl0_456 ),
inference(trivial_inequality_removal,[],[f45368]) ).
thf(f45381,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_118
| ~ spl0_188 ),
inference(duplicate_literal_removal,[],[f45366]) ).
thf(f45382,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_118
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f45381]) ).
thf(f45383,plain,
( $false
| ~ spl0_45
| ~ spl0_118
| ~ spl0_456 ),
inference(forward_subsumption_resolution,[],[f45376,f606]) ).
thf(f45384,plain,
( ~ spl0_45
| ~ spl0_118
| ~ spl0_456 ),
inference(avatar_contradiction_clause,[],[f45383]) ).
thf(f45387,definition,
( spl0_468
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_468])],[avatar_definition]) ).
thf(f45388,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_468 ),
inference(avatar_component_clause,[],[f45387]) ).
thf(f45389,plain,
( spl0_468
| spl0_115
| ~ spl0_118
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f45382,f8750,f3486,f3254,f45387]) ).
thf(f45413,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_112
| ~ spl0_124 ),
inference(constrained_superposition,[],[f3693,f3066]) ).
thf(f45416,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_112
| ~ spl0_436 ),
inference(constrained_superposition,[],[f28292,f3066]) ).
thf(f45418,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_112
| ~ spl0_461 ),
inference(constrained_superposition,[],[f39848,f3066]) ).
thf(f45421,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f63,f3066]) ).
thf(f45426,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_112
| ~ spl0_461 ),
inference(trivial_inequality_removal,[],[f45418]) ).
thf(f45427,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f45421]) ).
thf(f45431,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_112
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f45413]) ).
thf(f45434,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_436 ),
inference(duplicate_literal_removal,[],[f45416]) ).
thf(f45435,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f45434]) ).
thf(f45443,plain,
( $false
| spl0_13
| ~ spl0_112
| ~ spl0_461 ),
inference(forward_subsumption_resolution,[],[f45426,f45097]) ).
thf(f45444,plain,
( spl0_13
| ~ spl0_112
| ~ spl0_461 ),
inference(avatar_contradiction_clause,[],[f45443]) ).
thf(f45445,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| spl0_80
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f45427,f4626]) ).
thf(f45446,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_13
| ~ spl0_112
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f45431,f45097]) ).
thf(f45447,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| spl0_13
| ~ spl0_112
| ~ spl0_436 ),
inference(forward_subsumption_resolution,[],[f45435,f45097]) ).
thf(f45449,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_13
| spl0_80
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f45445,f45097]) ).
thf(f45450,plain,
( ~ spl0_41
| spl0_13
| ~ spl0_112
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f45446,f3692,f3065,f178,f579]) ).
thf(f45451,plain,
( spl0_444
| spl0_13
| ~ spl0_112
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f45447,f28291,f3065,f178,f30917]) ).
thf(f45452,plain,
( spl0_59
| spl0_13
| spl0_80
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f45449,f3065,f2432,f178,f1051]) ).
thf(f45538,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_45
| ~ spl0_222 ),
inference(constrained_superposition,[],[f11440,f606]) ).
thf(f45541,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_45
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f45538]) ).
thf(f45544,plain,
( spl0_443
| ~ spl0_45
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f45541,f11439,f605,f30837]) ).
thf(f45579,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_42
| ~ spl0_367 ),
inference(constrained_superposition,[],[f583,f19252]) ).
thf(f45587,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_42
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f45579]) ).
thf(f45602,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f105,f17347]) ).
thf(f45604,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_42
| ~ spl0_292
| ~ spl0_367 ),
inference(constrained_superposition,[],[f45587,f17347]) ).
thf(f45612,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_42
| ~ spl0_292
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f45604]) ).
thf(f45614,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f45602]) ).
thf(f45679,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_102
| ~ spl0_339 ),
inference(constrained_superposition,[],[f18101,f41914]) ).
thf(f45682,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_102
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f45679]) ).
thf(f45687,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_398 ),
inference(constrained_superposition,[],[f22335,f54]) ).
thf(f45688,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_398 ),
inference(constrained_superposition,[],[f22335,f17347]) ).
thf(f45695,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f45688]) ).
thf(f45697,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f45687]) ).
thf(f45699,plain,
( $false
| ~ spl0_292
| ~ spl0_367
| ~ spl0_398 ),
inference(forward_subsumption_resolution,[],[f45695,f19252]) ).
thf(f45700,plain,
( ~ spl0_292
| ~ spl0_367
| ~ spl0_398 ),
inference(avatar_contradiction_clause,[],[f45699]) ).
thf(f45703,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_318
| ~ spl0_398 ),
inference(forward_subsumption_resolution,[],[f45697,f17974]) ).
thf(f45704,plain,
( $false
| spl0_13
| spl0_318
| ~ spl0_398 ),
inference(forward_subsumption_resolution,[],[f45703,f45097]) ).
thf(f45705,plain,
( spl0_13
| spl0_318
| ~ spl0_398 ),
inference(avatar_contradiction_clause,[],[f45704]) ).
thf(f45709,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_59
| ~ spl0_354 ),
inference(constrained_superposition,[],[f1052,f18575]) ).
thf(f45710,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_59
| ~ spl0_367 ),
inference(constrained_superposition,[],[f1052,f19252]) ).
thf(f45711,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_59
| ~ spl0_112 ),
inference(constrained_superposition,[],[f1052,f3066]) ).
thf(f45714,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_59
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f45709]) ).
thf(f45716,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_59
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f45711]) ).
thf(f45718,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_59
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f45710]) ).
thf(f45720,plain,
( spl0_131
| ~ spl0_59
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f45716,f3065,f1051,f3979]) ).
thf(f45732,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_59
| ~ spl0_354 ),
inference(constrained_superposition,[],[f45714,f35]) ).
thf(f45738,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_59
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f45732]) ).
thf(f45799,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_416 ),
inference(constrained_superposition,[],[f24095,f36]) ).
thf(f45804,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_416 ),
inference(constrained_superposition,[],[f24095,f150]) ).
thf(f45808,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f45804]) ).
thf(f45809,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f45799]) ).
thf(f45858,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_142
| ~ spl0_192 ),
inference(constrained_superposition,[],[f8790,f17425]) ).
thf(f45861,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_142
| ~ spl0_192 ),
inference(duplicate_literal_removal,[],[f45858]) ).
thf(f45862,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_142
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f45861]) ).
thf(f45868,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| ~ spl0_45
| ~ spl0_142
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f45862,f606]) ).
thf(f45869,plain,
( spl0_22
| ~ spl0_45
| ~ spl0_142
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f45868,f8789,f4629,f605,f248]) ).
thf(f45870,plain,
( spl0_325
| spl0_320
| ~ spl0_102
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f45280,f23549,f2911,f17647,f18001]) ).
thf(f45871,plain,
( spl0_320
| ~ spl0_45
| ~ spl0_102
| ~ spl0_339 ),
inference(avatar_split_clause,[],[f45682,f18100,f2911,f605,f17647]) ).
thf(f45874,plain,
( ~ spl0_316
| ~ spl0_42
| ~ spl0_292
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f45612,f19251,f17346,f582,f17630]) ).
thf(f45875,plain,
( spl0_317
| ~ spl0_59
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f45718,f19251,f1051,f17634]) ).
thf(f45876,plain,
( ~ spl0_8
| spl0_142
| ~ spl0_59
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f45738,f18574,f1051,f4629,f116]) ).
thf(f45879,plain,
( spl0_118
| spl0_313
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f45614,f17346,f17615,f3486]) ).
thf(f45880,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f45195,f936,f83,f67]) ).
thf(f45883,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f26,f68]) ).
thf(f45884,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f45883]) ).
thf(f45915,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_35
| ~ spl0_318 ),
inference(constrained_superposition,[],[f485,f17638]) ).
thf(f45918,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_222
| ~ spl0_318 ),
inference(constrained_superposition,[],[f11440,f17638]) ).
thf(f45925,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_35
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f45915]) ).
thf(f45926,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_222
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f45918]) ).
thf(f45927,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_35
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f45925,f68]) ).
thf(f45928,plain,
( spl0_186
| ~ spl0_222
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f45926,f17637,f11439,f8733]) ).
thf(f45929,plain,
( spl0_118
| ~ spl0_1
| ~ spl0_35
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f45927,f17637,f484,f67,f3486]) ).
thf(f45937,plain,
( spl0_30
| spl0_11
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f44815,f2911,f171,f351]) ).
thf(f45946,definition,
( spl0_471
<=> ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_471])],[avatar_definition]) ).
thf(f45947,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_471 ),
inference(avatar_component_clause,[],[f45946]) ).
thf(f45951,plain,
( spl0_404
| spl0_30
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f44911,f18574,f351,f22482]) ).
thf(f46084,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_74
| ~ spl0_415 ),
inference(constrained_superposition,[],[f2368,f23550]) ).
thf(f46088,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_74
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f46084]) ).
thf(f46089,plain,
( $false
| ~ spl0_74
| ~ spl0_305
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f46088,f17586]) ).
thf(f46090,plain,
( ~ spl0_74
| ~ spl0_305
| ~ spl0_415 ),
inference(avatar_contradiction_clause,[],[f46089]) ).
thf(f46178,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f87,f55]) ).
thf(f46183,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f46178]) ).
thf(f46212,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_289
| ~ spl0_468 ),
inference(constrained_superposition,[],[f45388,f17337]) ).
thf(f46219,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_289
| ~ spl0_468 ),
inference(trivial_inequality_removal,[],[f46212]) ).
thf(f46221,plain,
( $false
| ~ spl0_120
| ~ spl0_289
| ~ spl0_468 ),
inference(forward_subsumption_resolution,[],[f46219,f3494]) ).
thf(f46222,plain,
( ~ spl0_120
| ~ spl0_289
| ~ spl0_468 ),
inference(avatar_contradiction_clause,[],[f46221]) ).
thf(f46319,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f46183,f54]) ).
thf(f46323,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f46183,f150]) ).
thf(f46336,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f46323]) ).
thf(f46344,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f46319]) ).
thf(f46350,plain,
( spl0_48
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f46344,f86,f83,f778]) ).
thf(f46435,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_354
| ~ spl0_382 ),
inference(constrained_superposition,[],[f20907,f18575]) ).
thf(f46444,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_354
| ~ spl0_382 ),
inference(duplicate_literal_removal,[],[f46435]) ).
thf(f46445,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_354
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f46444]) ).
thf(f46449,plain,
( spl0_444
| ~ spl0_41
| ~ spl0_354
| ~ spl0_382 ),
inference(avatar_split_clause,[],[f46445,f20906,f18574,f579,f30917]) ).
thf(f46528,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_192
| ~ spl0_289 ),
inference(constrained_superposition,[],[f8790,f17337]) ).
thf(f46532,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_192
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f46528]) ).
thf(f46598,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_367
| ~ spl0_370 ),
inference(constrained_superposition,[],[f19550,f19252]) ).
thf(f46607,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_367
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f46598]) ).
thf(f46708,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_38
| ~ spl0_363 ),
inference(constrained_superposition,[],[f18971,f556]) ).
thf(f46713,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_38
| ~ spl0_363 ),
inference(trivial_inequality_removal,[],[f46708]) ).
thf(f46717,plain,
( spl0_385
| ~ spl0_41
| ~ spl0_38
| ~ spl0_363 ),
inference(avatar_split_clause,[],[f46713,f18970,f555,f579,f21511]) ).
thf(f46723,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_185
| ~ spl0_189 ),
inference(constrained_superposition,[],[f8767,f18268]) ).
thf(f46726,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_185
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f46723]) ).
thf(f46839,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_367
| ~ spl0_379 ),
inference(constrained_superposition,[],[f19797,f19252]) ).
thf(f46840,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_38
| ~ spl0_379 ),
inference(constrained_superposition,[],[f19797,f556]) ).
thf(f46844,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_38
| ~ spl0_379 ),
inference(trivial_inequality_removal,[],[f46840]) ).
thf(f46846,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_367
| ~ spl0_379 ),
inference(trivial_inequality_removal,[],[f46839]) ).
thf(f46848,plain,
( ~ spl0_41
| spl0_398
| ~ spl0_38
| ~ spl0_379 ),
inference(avatar_split_clause,[],[f46844,f19796,f555,f22334,f579]) ).
thf(f46849,plain,
( ~ spl0_41
| spl0_398
| ~ spl0_367
| ~ spl0_379 ),
inference(avatar_split_clause,[],[f46846,f19796,f19251,f22334,f579]) ).
thf(f46852,plain,
( ~ spl0_80
| spl0_465
| ~ spl0_192
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f46532,f17336,f8789,f44760,f2432]) ).
thf(f46854,plain,
( ~ spl0_41
| spl0_170
| ~ spl0_367
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f46607,f19549,f19251,f7030,f579]) ).
thf(f46855,plain,
( spl0_20
| ~ spl0_17
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f46336,f86,f217,f227]) ).
thf(f46857,plain,
( ~ spl0_30
| ~ spl0_185
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f46726,f8766,f8703,f351]) ).
thf(f46868,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_4
| ~ spl0_60 ),
inference(constrained_superposition,[],[f87,f4625]) ).
thf(f46871,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f43,f4625]) ).
thf(f46883,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_4
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f46868]) ).
thf(f46886,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f46871]) ).
thf(f46889,plain,
( spl0_417
| ~ spl0_4
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f46883,f1989,f86,f24137]) ).
thf(f46890,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| spl0_45
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f46886,f30839]) ).
thf(f46891,plain,
( spl0_148
| spl0_45
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f46890,f1989,f605,f5024]) ).
thf(f46893,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_80 ),
inference(constrained_superposition,[],[f45884,f2433]) ).
thf(f46899,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f46893]) ).
thf(f46902,plain,
( spl0_471
| ~ spl0_1
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f46899,f2432,f67,f45946]) ).
thf(f46933,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f43,f18271]) ).
thf(f46943,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f46933]) ).
thf(f46951,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_45
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f46943,f30839]) ).
thf(f46952,plain,
( spl0_437
| spl0_45
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f46951,f2203,f605,f28897]) ).
thf(f47026,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_372 ),
inference(constrained_superposition,[],[f19630,f37]) ).
thf(f47029,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_372 ),
inference(trivial_inequality_removal,[],[f47026]) ).
thf(f47031,plain,
( spl0_302
| spl0_342
| spl0_372 ),
inference(avatar_split_clause,[],[f47029,f19629,f18230,f17572]) ).
thf(f47056,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f8734,f1944]) ).
thf(f47064,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f47056]) ).
thf(f47067,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_80
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f47064,f2433]) ).
thf(f47068,plain,
( spl0_295
| ~ spl0_80
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f47067,f8733,f2432,f17414]) ).
thf(f47080,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| spl0_13
| ~ spl0_16 ),
inference(constrained_superposition,[],[f215,f45097]) ).
thf(f47088,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_13
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f47080]) ).
thf(f47092,plain,
( spl0_27
| spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f47088,f214,f178,f278]) ).
thf(f47098,plain,
( spl0_311
| spl0_56
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f45809,f24094,f943,f17607]) ).
thf(f47099,plain,
( ~ spl0_41
| spl0_336
| spl0_42
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f44914,f18574,f582,f18082,f579]) ).
thf(f47105,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_80 ),
inference(constrained_superposition,[],[f4626,f37]) ).
thf(f47106,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_80 ),
inference(trivial_inequality_removal,[],[f47105]) ).
thf(f47107,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_80 ),
inference(forward_subsumption_resolution,[],[f47106,f31]) ).
thf(f47109,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_4
| spl0_80 ),
inference(constrained_superposition,[],[f46183,f47107]) ).
thf(f47119,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_4
| spl0_80 ),
inference(trivial_inequality_removal,[],[f47109]) ).
thf(f47123,plain,
( ~ spl0_3
| spl0_120
| ~ spl0_4
| spl0_80 ),
inference(avatar_split_clause,[],[f47119,f2432,f86,f3493,f83]) ).
thf(f47168,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_118
| ~ spl0_297 ),
inference(constrained_superposition,[],[f17423,f3487]) ).
thf(f47175,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_118
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f47168]) ).
thf(f47181,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_118
| ~ spl0_120
| ~ spl0_297 ),
inference(forward_subsumption_resolution,[],[f47175,f3494]) ).
thf(f47182,plain,
( spl0_74
| ~ spl0_118
| ~ spl0_120
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f47181,f17422,f3493,f3486,f2367]) ).
thf(f47254,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f43,f17340]) ).
thf(f47257,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f48,f17340]) ).
thf(f47262,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f47254]) ).
thf(f47266,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f47257]) ).
thf(f47287,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_345 ),
inference(constrained_superposition,[],[f166,f18242]) ).
thf(f47298,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f47287]) ).
thf(f47303,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| spl0_307
| ~ spl0_345 ),
inference(forward_subsumption_resolution,[],[f47298,f41290]) ).
thf(f47305,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_111
| spl0_307
| ~ spl0_345 ),
inference(forward_subsumption_resolution,[],[f47303,f3062]) ).
thf(f47306,plain,
( spl0_175
| ~ spl0_111
| spl0_307
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f47305,f18241,f17592,f3061,f7680]) ).
thf(f47313,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_372 ),
inference(constrained_superposition,[],[f539,f40773]) ).
thf(f47315,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f47313]) ).
thf(f47317,plain,
( spl0_367
| spl0_202
| ~ spl0_372 ),
inference(avatar_split_clause,[],[f47315,f19629,f9962,f19251]) ).
thf(f47339,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_128
| ~ spl0_372 ),
inference(constrained_superposition,[],[f3936,f40773]) ).
thf(f47344,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_128
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f47339]) ).
thf(f47350,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_128
| ~ spl0_372 ),
inference(constrained_superposition,[],[f47344,f151]) ).
thf(f47355,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_128
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f47350]) ).
thf(f47358,plain,
( spl0_367
| ~ spl0_128
| ~ spl0_372 ),
inference(avatar_split_clause,[],[f47355,f19629,f3935,f19251]) ).
thf(f47409,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_398 ),
inference(constrained_superposition,[],[f22335,f36]) ).
thf(f47417,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f47409]) ).
thf(f47504,plain,
( spl0_336
| ~ spl0_41
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f47417,f22334,f579,f18082]) ).
thf(f47506,plain,
( spl0_360
| spl0_84
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f47262,f17339,f2493,f18801]) ).
thf(f47507,plain,
( spl0_108
| spl0_336
| ~ spl0_107
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f47266,f17339,f2970,f18082,f2973]) ).
thf(f47509,plain,
( spl0_307
| spl0_52
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f45808,f24094,f929,f17592]) ).
thf(f47557,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_80
| ~ spl0_101 ),
inference(constrained_superposition,[],[f2908,f47107]) ).
thf(f47561,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_80
| ~ spl0_101 ),
inference(trivial_inequality_removal,[],[f47557]) ).
thf(f47564,plain,
( ~ spl0_388
| spl0_80
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f47561,f2907,f2432,f21968]) ).
thf(f47598,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_90
| ~ spl0_465 ),
inference(constrained_superposition,[],[f44761,f2639]) ).
thf(f47603,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_90
| ~ spl0_465 ),
inference(trivial_inequality_removal,[],[f47598]) ).
thf(f47605,plain,
( $false
| ~ spl0_30
| ~ spl0_90
| ~ spl0_465 ),
inference(forward_subsumption_resolution,[],[f47603,f352]) ).
thf(f47606,plain,
( ~ spl0_30
| ~ spl0_90
| ~ spl0_465 ),
inference(avatar_contradiction_clause,[],[f47605]) ).
thf(f47729,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true ) )
| ~ spl0_38
| ~ spl0_42 ),
inference(constrained_superposition,[],[f583,f556]) ).
thf(f47733,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_38
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f47729]) ).
thf(f47745,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_38
| ~ spl0_42 ),
inference(constrained_superposition,[],[f47733,f55]) ).
thf(f47751,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_38
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f47745]) ).
thf(f47756,plain,
( ~ spl0_3
| spl0_36
| ~ spl0_38
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f47751,f582,f555,f499,f83]) ).
thf(f47769,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_142
| ~ spl0_468 ),
inference(constrained_superposition,[],[f45388,f17425]) ).
thf(f47772,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_142
| ~ spl0_468 ),
inference(trivial_inequality_removal,[],[f47769]) ).
thf(f47777,plain,
( $false
| ~ spl0_1
| ~ spl0_142
| ~ spl0_468 ),
inference(forward_subsumption_resolution,[],[f47772,f68]) ).
thf(f47778,plain,
( ~ spl0_1
| ~ spl0_142
| ~ spl0_468 ),
inference(avatar_contradiction_clause,[],[f47777]) ).
thf(f47781,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_70 ),
inference(constrained_superposition,[],[f26,f3896]) ).
thf(f47783,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f47781]) ).
thf(f47794,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f166,f4625]) ).
thf(f47796,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f48,f4625]) ).
thf(f47798,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f27,f4625]) ).
thf(f47803,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f47794]) ).
thf(f47806,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f47798]) ).
thf(f47807,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f47796]) ).
thf(f47810,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f539,f2433]) ).
thf(f47812,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_33
| ~ spl0_80 ),
inference(constrained_superposition,[],[f428,f2433]) ).
thf(f47813,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f26,f2433]) ).
thf(f47814,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f47810]) ).
thf(f47816,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_33
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f47812]) ).
thf(f47817,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f47813]) ).
thf(f47818,plain,
( spl0_97
| spl0_112
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f47814,f2432,f3065,f2820]) ).
thf(f47865,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_90 ),
inference(constrained_superposition,[],[f26,f2639]) ).
thf(f47868,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f47865]) ).
thf(f47926,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_333 ),
inference(constrained_superposition,[],[f539,f18992]) ).
thf(f47930,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f47926]) ).
thf(f47934,plain,
( spl0_97
| spl0_367
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f47930,f18068,f19251,f2820]) ).
thf(f47988,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f105,f17415]) ).
thf(f48002,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f47988]) ).
thf(f48013,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_367 ),
inference(constrained_superposition,[],[f105,f19252]) ).
thf(f48014,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_367 ),
inference(constrained_superposition,[],[f43,f19252]) ).
thf(f48017,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_367 ),
inference(constrained_superposition,[],[f63,f19252]) ).
thf(f48023,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f48013]) ).
thf(f48026,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f48017]) ).
thf(f48028,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f48014]) ).
thf(f48059,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_83
| ~ spl0_420 ),
inference(constrained_superposition,[],[f2491,f24473]) ).
thf(f48067,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_83
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f48059]) ).
thf(f48070,plain,
( $false
| ~ spl0_83
| ~ spl0_333
| ~ spl0_420 ),
inference(forward_subsumption_resolution,[],[f48067,f18992]) ).
thf(f48071,plain,
( ~ spl0_83
| ~ spl0_333
| ~ spl0_420 ),
inference(avatar_contradiction_clause,[],[f48070]) ).
thf(f48167,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_339 ),
inference(constrained_superposition,[],[f18101,f1944]) ).
thf(f48174,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f48167]) ).
thf(f48179,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_339
| spl0_342 ),
inference(forward_subsumption_resolution,[],[f48174,f40759]) ).
thf(f48182,plain,
( $false
| ~ spl0_80
| ~ spl0_339
| spl0_342 ),
inference(forward_subsumption_resolution,[],[f48179,f2433]) ).
thf(f48183,plain,
( ~ spl0_80
| ~ spl0_339
| spl0_342 ),
inference(avatar_contradiction_clause,[],[f48182]) ).
thf(f48184,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f1052,f36]) ).
thf(f48195,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f48184]) ).
thf(f48245,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_33
| ~ spl0_80
| ~ spl0_372 ),
inference(constrained_superposition,[],[f47816,f40773]) ).
thf(f48251,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_33
| ~ spl0_80
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f48245]) ).
thf(f48253,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_33
| ~ spl0_80
| ~ spl0_311
| ~ spl0_372 ),
inference(forward_subsumption_resolution,[],[f48251,f17608]) ).
thf(f48256,plain,
( spl0_56
| spl0_11
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f48195,f1051,f171,f943]) ).
thf(f48257,plain,
( ~ spl0_333
| ~ spl0_33
| ~ spl0_80
| ~ spl0_311
| ~ spl0_372 ),
inference(avatar_split_clause,[],[f48253,f19629,f17607,f2432,f427,f18068]) ).
thf(f48352,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_118
| ~ spl0_450 ),
inference(constrained_superposition,[],[f34194,f3487]) ).
thf(f48355,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_118
| ~ spl0_450 ),
inference(trivial_inequality_removal,[],[f48352]) ).
thf(f48359,plain,
( $false
| ~ spl0_80
| ~ spl0_118
| ~ spl0_450 ),
inference(forward_subsumption_resolution,[],[f48355,f2433]) ).
thf(f48360,plain,
( ~ spl0_80
| ~ spl0_118
| ~ spl0_450 ),
inference(avatar_contradiction_clause,[],[f48359]) ).
thf(f48425,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_143
| ~ spl0_216 ),
inference(constrained_superposition,[],[f10724,f4633]) ).
thf(f48429,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f27,f4633]) ).
thf(f48431,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_143
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f48425]) ).
thf(f48437,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f48429]) ).
thf(f48440,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_143
| ~ spl0_183
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f48431,f8685]) ).
thf(f48443,plain,
( spl0_381
| ~ spl0_143
| ~ spl0_183
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f48440,f10723,f8684,f4632,f20511]) ).
thf(f48524,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_447 ),
inference(constrained_superposition,[],[f33509,f54]) ).
thf(f48530,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_447 ),
inference(trivial_inequality_removal,[],[f48524]) ).
thf(f48539,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_13
| ~ spl0_447 ),
inference(forward_subsumption_resolution,[],[f48530,f45097]) ).
thf(f48545,plain,
( $false
| spl0_13
| spl0_333
| ~ spl0_447 ),
inference(forward_subsumption_resolution,[],[f48539,f18069]) ).
thf(f48546,plain,
( spl0_13
| spl0_333
| ~ spl0_447 ),
inference(avatar_contradiction_clause,[],[f48545]) ).
thf(f48751,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_464 ),
inference(constrained_superposition,[],[f44752,f35]) ).
thf(f48754,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_354
| ~ spl0_464 ),
inference(constrained_superposition,[],[f44752,f18575]) ).
thf(f48758,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_464 ),
inference(duplicate_literal_removal,[],[f48751]) ).
thf(f48759,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_464 ),
inference(trivial_inequality_removal,[],[f48758]) ).
thf(f48762,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_354
| ~ spl0_464 ),
inference(trivial_inequality_removal,[],[f48754]) ).
thf(f48763,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_142
| ~ spl0_464 ),
inference(forward_subsumption_resolution,[],[f48759,f4630]) ).
thf(f48764,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_112
| ~ spl0_354
| ~ spl0_464 ),
inference(forward_subsumption_resolution,[],[f48762,f3066]) ).
thf(f48765,plain,
( ~ spl0_388
| spl0_151
| spl0_142
| ~ spl0_464 ),
inference(avatar_split_clause,[],[f48763,f44751,f4629,f5263,f21968]) ).
thf(f48766,plain,
( spl0_136
| ~ spl0_112
| ~ spl0_354
| ~ spl0_464 ),
inference(avatar_split_clause,[],[f48764,f44751,f18574,f3065,f4409]) ).
thf(f48813,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_467 ),
inference(constrained_superposition,[],[f44778,f35]) ).
thf(f48816,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_354
| ~ spl0_467 ),
inference(constrained_superposition,[],[f44778,f18575]) ).
thf(f48821,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_467 ),
inference(trivial_inequality_removal,[],[f48813]) ).
thf(f48822,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_354
| ~ spl0_467 ),
inference(duplicate_literal_removal,[],[f48816]) ).
thf(f48823,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_354
| ~ spl0_467 ),
inference(trivial_inequality_removal,[],[f48822]) ).
thf(f48825,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_142
| ~ spl0_467 ),
inference(forward_subsumption_resolution,[],[f48821,f4630]) ).
thf(f48826,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_112
| ~ spl0_354
| ~ spl0_467 ),
inference(forward_subsumption_resolution,[],[f48823,f3066]) ).
thf(f48827,plain,
( ~ spl0_388
| spl0_136
| spl0_142
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f48825,f44777,f4629,f4409,f21968]) ).
thf(f48828,plain,
( spl0_444
| ~ spl0_112
| ~ spl0_354
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f48826,f44777,f18574,f3065,f30917]) ).
thf(f48916,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f47806,f36]) ).
thf(f48918,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f47806,f150]) ).
thf(f48922,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f48916]) ).
thf(f48924,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f48918]) ).
thf(f48926,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f47817,f151]) ).
thf(f48935,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f48926]) ).
thf(f48970,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f48437,f35]) ).
thf(f48976,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f48970]) ).
thf(f48981,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_142
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f48976,f4630]) ).
thf(f48982,plain,
( ~ spl0_17
| spl0_16
| spl0_142
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f48981,f4632,f4629,f214,f217]) ).
thf(f48983,plain,
( spl0_403
| spl0_30
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f48028,f19251,f351,f22478]) ).
thf(f48991,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_13
| ~ spl0_367 ),
inference(forward_subsumption_resolution,[],[f48026,f45097]) ).
thf(f48992,plain,
( spl0_411
| spl0_118
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f48002,f17414,f3486,f23226]) ).
thf(f48995,plain,
( spl0_42
| spl0_1
| ~ spl0_41
| spl0_13 ),
inference(avatar_split_clause,[],[f45111,f178,f579,f67,f582]) ).
thf(f48997,plain,
( spl0_333
| spl0_59
| spl0_13
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f48991,f19251,f178,f1051,f18068]) ).
thf(f49011,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_84
| ~ spl0_90 ),
inference(constrained_superposition,[],[f47868,f2494]) ).
thf(f49012,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_80
| ~ spl0_84 ),
inference(constrained_superposition,[],[f47817,f2494]) ).
thf(f49013,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_70
| ~ spl0_84 ),
inference(constrained_superposition,[],[f47783,f2494]) ).
thf(f49014,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_84
| ~ spl0_471 ),
inference(constrained_superposition,[],[f45947,f2494]) ).
thf(f49016,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_70
| ~ spl0_84 ),
inference(duplicate_literal_removal,[],[f49013]) ).
thf(f49017,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_70
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f49016]) ).
thf(f49018,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_84
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f49011]) ).
thf(f49020,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_80
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f49012]) ).
thf(f49021,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_84
| ~ spl0_471 ),
inference(duplicate_literal_removal,[],[f49014]) ).
thf(f49022,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_84
| ~ spl0_471 ),
inference(trivial_inequality_removal,[],[f49021]) ).
thf(f49023,plain,
( spl0_132
| spl0_22
| ~ spl0_70
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f49017,f2493,f2258,f248,f4026]) ).
thf(f49024,plain,
( spl0_132
| spl0_129
| ~ spl0_84
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f49018,f2638,f2493,f3938,f4026]) ).
thf(f49025,plain,
( spl0_132
| spl0_23
| ~ spl0_80
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f49020,f2493,f2432,f252,f4026]) ).
thf(f49026,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| ~ spl0_45
| ~ spl0_84
| ~ spl0_471 ),
inference(forward_subsumption_resolution,[],[f49022,f606]) ).
thf(f49027,plain,
( spl0_22
| ~ spl0_45
| ~ spl0_84
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f49026,f45946,f2493,f605,f248]) ).
thf(f49036,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_142
| ~ spl0_297 ),
inference(constrained_superposition,[],[f17423,f17425]) ).
thf(f49037,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_142
| ~ spl0_462 ),
inference(constrained_superposition,[],[f40897,f17425]) ).
thf(f49040,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_142
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f49036]) ).
thf(f49041,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_142
| ~ spl0_462 ),
inference(trivial_inequality_removal,[],[f49037]) ).
thf(f49044,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_84
| ~ spl0_142
| ~ spl0_297 ),
inference(forward_subsumption_resolution,[],[f49040,f2494]) ).
thf(f49045,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_84
| ~ spl0_142
| ~ spl0_462 ),
inference(forward_subsumption_resolution,[],[f49041,f2494]) ).
thf(f49046,plain,
( spl0_129
| ~ spl0_84
| ~ spl0_142
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f49044,f17422,f4629,f2493,f3938]) ).
thf(f49047,plain,
( spl0_456
| ~ spl0_84
| ~ spl0_142
| ~ spl0_462 ),
inference(avatar_split_clause,[],[f49045,f40896,f4629,f2493,f34770]) ).
thf(f49083,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_183 ),
inference(constrained_superposition,[],[f17583,f28]) ).
thf(f49084,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_183 ),
inference(trivial_inequality_removal,[],[f49083]) ).
thf(f49092,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_320
| ~ spl0_357 ),
inference(constrained_superposition,[],[f18660,f17648]) ).
thf(f49097,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_320
| ~ spl0_357 ),
inference(duplicate_literal_removal,[],[f49092]) ).
thf(f49098,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_320
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f49097]) ).
thf(f49101,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| ~ spl0_45
| ~ spl0_320
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f49098,f606]) ).
thf(f49103,plain,
( spl0_22
| ~ spl0_45
| ~ spl0_320
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f49101,f18659,f17647,f605,f248]) ).
thf(f49111,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f48,f18271]) ).
thf(f49116,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f49111]) ).
thf(f49139,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_38
| ~ spl0_136 ),
inference(constrained_superposition,[],[f4410,f556]) ).
thf(f49147,plain,
( ! [X0: $i] :
( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ~ spl0_38
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f49139]) ).
thf(f49149,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_38
| ~ spl0_136 ),
inference(constrained_superposition,[],[f49147,f35]) ).
thf(f49151,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_38
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f49149]) ).
thf(f49153,plain,
( spl0_87
| ~ spl0_38
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f49151,f4409,f555,f2513]) ).
thf(f49290,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_90
| ~ spl0_137 ),
inference(constrained_superposition,[],[f4451,f2639]) ).
thf(f49297,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_90
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f49290]) ).
thf(f49299,plain,
( $false
| ~ spl0_25
| ~ spl0_90
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f49297,f264]) ).
thf(f49300,plain,
( ~ spl0_25
| ~ spl0_90
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f49299]) ).
thf(f49306,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_289
| ~ spl0_456 ),
inference(constrained_superposition,[],[f34771,f17337]) ).
thf(f49312,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_289
| ~ spl0_456 ),
inference(trivial_inequality_removal,[],[f49306]) ).
thf(f49317,plain,
( $false
| ~ spl0_84
| ~ spl0_289
| ~ spl0_456 ),
inference(forward_subsumption_resolution,[],[f49312,f2494]) ).
thf(f49318,plain,
( ~ spl0_84
| ~ spl0_289
| ~ spl0_456 ),
inference(avatar_contradiction_clause,[],[f49317]) ).
thf(f49320,plain,
( $false
| ~ spl0_73
| spl0_342 ),
inference(forward_subsumption_resolution,[],[f40759,f2270]) ).
thf(f49321,plain,
( ~ spl0_73
| spl0_342 ),
inference(avatar_contradiction_clause,[],[f49320]) ).
thf(f49322,plain,
( spl0_70
| spl0_401
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f48922,f1989,f22470,f2258]) ).
thf(f49329,plain,
( spl0_25
| spl0_439
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f48023,f19251,f29332,f263]) ).
thf(f49331,plain,
( spl0_336
| ~ spl0_8
| spl0_7
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f49116,f2203,f113,f116,f18082]) ).
thf(f49335,plain,
( ~ spl0_8
| spl0_70
| spl0_7
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f47807,f1989,f113,f2258,f116]) ).
thf(f49338,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_25 ),
inference(constrained_superposition,[],[f29677,f37]) ).
thf(f49339,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_25 ),
inference(trivial_inequality_removal,[],[f49338]) ).
thf(f49340,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f49339,f31]) ).
thf(f49345,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| spl0_25 ),
inference(constrained_superposition,[],[f48,f49340]) ).
thf(f49349,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_25 ),
inference(trivial_inequality_removal,[],[f49345]) ).
thf(f49355,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| spl0_11
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f49349,f497]) ).
thf(f49356,plain,
( ~ spl0_8
| spl0_7
| spl0_11
| spl0_25 ),
inference(avatar_split_clause,[],[f49355,f263,f171,f113,f116]) ).
thf(f49404,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_337 ),
inference(constrained_superposition,[],[f18086,f1944]) ).
thf(f49412,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f49404]) ).
thf(f49423,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f114,f36]) ).
thf(f49424,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f114,f55]) ).
thf(f49432,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f49423]) ).
thf(f49436,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f49424]) ).
thf(f49626,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f49436,f150]) ).
thf(f49634,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f49436,f55]) ).
thf(f49639,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f49634]) ).
thf(f49640,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f49639]) ).
thf(f49652,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f49626]) ).
thf(f49804,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_87
| ~ spl0_384 ),
inference(constrained_superposition,[],[f21361,f2514]) ).
thf(f49808,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_87
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f49804]) ).
thf(f49811,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_45
| ~ spl0_87
| ~ spl0_384 ),
inference(forward_subsumption_resolution,[],[f49808,f606]) ).
thf(f49813,plain,
( spl0_443
| ~ spl0_45
| ~ spl0_87
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f49811,f21360,f2513,f605,f30837]) ).
thf(f49838,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_298 ),
inference(constrained_superposition,[],[f17428,f151]) ).
thf(f49844,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_298 ),
inference(trivial_inequality_removal,[],[f49838]) ).
thf(f49850,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_429 ),
inference(constrained_superposition,[],[f25635,f36]) ).
thf(f49851,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_429 ),
inference(constrained_superposition,[],[f25635,f54]) ).
thf(f49852,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_292
| ~ spl0_429 ),
inference(constrained_superposition,[],[f25635,f17347]) ).
thf(f49858,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_292
| ~ spl0_429 ),
inference(trivial_inequality_removal,[],[f49852]) ).
thf(f49859,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_429 ),
inference(duplicate_literal_removal,[],[f49851]) ).
thf(f49860,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_429 ),
inference(trivial_inequality_removal,[],[f49859]) ).
thf(f49861,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_429 ),
inference(trivial_inequality_removal,[],[f49850]) ).
thf(f49868,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_38
| ~ spl0_292
| ~ spl0_429 ),
inference(constrained_superposition,[],[f49858,f556]) ).
thf(f49871,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_38
| ~ spl0_292
| ~ spl0_429 ),
inference(trivial_inequality_removal,[],[f49868]) ).
thf(f49879,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_38
| ~ spl0_292
| ~ spl0_429 ),
inference(forward_subsumption_resolution,[],[f49871,f556]) ).
thf(f49881,plain,
( $false
| spl0_13
| ~ spl0_38
| ~ spl0_292
| ~ spl0_429 ),
inference(forward_subsumption_resolution,[],[f49879,f45097]) ).
thf(f49882,plain,
( spl0_13
| ~ spl0_38
| ~ spl0_292
| ~ spl0_429 ),
inference(avatar_contradiction_clause,[],[f49881]) ).
thf(f49886,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_293
| ~ spl0_456 ),
inference(constrained_superposition,[],[f34771,f17351]) ).
thf(f49894,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_293
| ~ spl0_456 ),
inference(trivial_inequality_removal,[],[f49886]) ).
thf(f49897,plain,
( $false
| ~ spl0_293
| ~ spl0_320
| ~ spl0_456 ),
inference(forward_subsumption_resolution,[],[f49894,f17648]) ).
thf(f49898,plain,
( ~ spl0_293
| ~ spl0_320
| ~ spl0_456 ),
inference(avatar_contradiction_clause,[],[f49897]) ).
thf(f49982,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_291 ),
inference(constrained_superposition,[],[f2246,f17344]) ).
thf(f49984,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f49982]) ).
thf(f50002,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f105,f17354]) ).
thf(f50003,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f43,f17354]) ).
thf(f50009,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_294 ),
inference(constrained_superposition,[],[f49436,f17354]) ).
thf(f50011,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f48,f17354]) ).
thf(f50014,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f50002]) ).
thf(f50019,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f50003]) ).
thf(f50023,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f50011]) ).
thf(f50027,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f50009]) ).
thf(f50071,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_291
| ~ spl0_343 ),
inference(constrained_superposition,[],[f18234,f17344]) ).
thf(f50077,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_291
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f50071]) ).
thf(f50084,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_291
| ~ spl0_336
| ~ spl0_343 ),
inference(forward_subsumption_resolution,[],[f50077,f18266]) ).
thf(f50085,plain,
( spl0_463
| ~ spl0_291
| ~ spl0_336
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f50084,f18233,f18082,f17343,f40914]) ).
thf(f50091,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_463 ),
inference(constrained_superposition,[],[f40915,f18268]) ).
thf(f50095,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_185
| ~ spl0_463 ),
inference(trivial_inequality_removal,[],[f50091]) ).
thf(f50102,plain,
( $false
| ~ spl0_90
| ~ spl0_185
| ~ spl0_463 ),
inference(forward_subsumption_resolution,[],[f50095,f2639]) ).
thf(f50103,plain,
( ~ spl0_90
| ~ spl0_185
| ~ spl0_463 ),
inference(avatar_contradiction_clause,[],[f50102]) ).
thf(f50108,plain,
( spl0_371
| spl0_342
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f49984,f17343,f18230,f19625]) ).
thf(f50124,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_365 ),
inference(constrained_superposition,[],[f18978,f28]) ).
thf(f50126,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_365 ),
inference(trivial_inequality_removal,[],[f50124]) ).
thf(f50130,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_342 ),
inference(constrained_superposition,[],[f105,f18231]) ).
thf(f50131,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_342 ),
inference(constrained_superposition,[],[f43,f18231]) ).
thf(f50137,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_342 ),
inference(constrained_superposition,[],[f49436,f18231]) ).
thf(f50138,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_342 ),
inference(constrained_superposition,[],[f63,f18231]) ).
thf(f50139,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_342 ),
inference(constrained_superposition,[],[f48,f18231]) ).
thf(f50144,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f50130]) ).
thf(f50147,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f50139]) ).
thf(f50152,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f50131]) ).
thf(f50153,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f50137]) ).
thf(f50154,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f50138]) ).
thf(f50167,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f8773,f150]) ).
thf(f50177,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f50167]) ).
thf(f50213,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_38
| ~ spl0_395 ),
inference(constrained_superposition,[],[f22001,f556]) ).
thf(f50218,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_395 ),
inference(trivial_inequality_removal,[],[f50213]) ).
thf(f50224,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| spl0_13
| ~ spl0_38
| ~ spl0_395 ),
inference(forward_subsumption_resolution,[],[f50218,f45097]) ).
thf(f50226,plain,
( spl0_385
| spl0_13
| ~ spl0_38
| ~ spl0_395 ),
inference(avatar_split_clause,[],[f50224,f22000,f555,f178,f21511]) ).
thf(f50227,plain,
( spl0_124
| spl0_336
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f49861,f25634,f18082,f3692]) ).
thf(f50228,plain,
( spl0_436
| spl0_90
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f48924,f1989,f2638,f28291]) ).
thf(f50229,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_25
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f47803,f49340]) ).
thf(f50230,plain,
( spl0_170
| spl0_90
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f50177,f8772,f2638,f7030]) ).
thf(f50231,plain,
( spl0_355
| spl0_333
| spl0_365 ),
inference(avatar_split_clause,[],[f50126,f18977,f18068,f18637]) ).
thf(f50232,plain,
( spl0_112
| spl0_74
| spl0_128
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f48935,f2432,f3935,f2367,f3065]) ).
thf(f50234,plain,
( spl0_74
| spl0_354
| ~ spl0_156
| ~ spl0_298 ),
inference(avatar_split_clause,[],[f49844,f17427,f5524,f18574,f2367]) ).
thf(f50235,plain,
( spl0_318
| spl0_117
| spl0_183 ),
inference(avatar_split_clause,[],[f49084,f8684,f3483,f17637]) ).
thf(f50236,plain,
( spl0_461
| spl0_318
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f49860,f25634,f17637,f39847]) ).
thf(f50240,plain,
( spl0_90
| spl0_18
| spl0_25
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f50229,f1989,f263,f221,f2638]) ).
thf(f50242,plain,
( ~ spl0_364
| spl0_380
| spl0_70
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f50147,f18230,f2258,f19803,f18974]) ).
thf(f50243,plain,
( ~ spl0_3
| spl0_458
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f49640,f113,f36503,f83]) ).
thf(f50245,plain,
( ~ spl0_364
| spl0_336
| spl0_380
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f50023,f17353,f19803,f18082,f18974]) ).
thf(f50246,plain,
( ~ spl0_308
| spl0_120
| ~ spl0_7
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f50153,f18230,f113,f3493,f17596]) ).
thf(f50247,plain,
( spl0_393
| spl0_305
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f50014,f17353,f17585,f21992]) ).
thf(f50248,plain,
( ~ spl0_70
| spl0_295
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f49412,f18085,f17414,f2258]) ).
thf(f50249,plain,
( spl0_32
| spl0_25
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f49652,f113,f263,f389]) ).
thf(f50250,plain,
( spl0_416
| ~ spl0_365
| spl0_80
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f50154,f18230,f2432,f18977,f24094]) ).
thf(f50252,plain,
( spl0_102
| spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f49432,f113,f67,f2911]) ).
thf(f50253,plain,
( ~ spl0_308
| spl0_118
| ~ spl0_7
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f50027,f17353,f113,f3486,f17596]) ).
thf(f50254,plain,
( spl0_363
| spl0_320
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f50152,f18230,f17647,f18970]) ).
thf(f50255,plain,
( spl0_320
| spl0_379
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f50019,f17353,f19796,f17647]) ).
thf(f50281,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_13 ),
inference(constrained_superposition,[],[f560,f37]) ).
thf(f50282,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f50281]) ).
thf(f50283,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f50282,f31]) ).
thf(f50285,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| spl0_13 ),
inference(constrained_superposition,[],[f43,f50283]) ).
thf(f50289,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f50285]) ).
thf(f50295,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_70 ),
inference(constrained_superposition,[],[f539,f3896]) ).
thf(f50298,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f50295]) ).
thf(f50299,plain,
( spl0_112
| spl0_104
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f50298,f2258,f2940,f3065]) ).
thf(f50304,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_80 ),
inference(constrained_superposition,[],[f4626,f37]) ).
thf(f50305,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_80 ),
inference(trivial_inequality_removal,[],[f50304]) ).
thf(f50306,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_80 ),
inference(forward_subsumption_resolution,[],[f50305,f31]) ).
thf(f50307,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_80 ),
inference(constrained_superposition,[],[f105,f50306]) ).
thf(f50308,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| spl0_80 ),
inference(constrained_superposition,[],[f43,f50306]) ).
thf(f50313,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_80 ),
inference(trivial_inequality_removal,[],[f50307]) ).
thf(f50315,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_80 ),
inference(trivial_inequality_removal,[],[f50308]) ).
thf(f50320,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_60 ),
inference(constrained_superposition,[],[f1990,f28]) ).
thf(f50321,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_60 ),
inference(trivial_inequality_removal,[],[f50320]) ).
thf(f50329,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_336 ),
inference(constrained_superposition,[],[f539,f18266]) ).
thf(f50331,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f50329]) ).
thf(f50334,plain,
( spl0_104
| spl0_354
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f50331,f18082,f18574,f2940]) ).
thf(f50336,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_68 ),
inference(constrained_superposition,[],[f2204,f28]) ).
thf(f50337,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_68 ),
inference(trivial_inequality_removal,[],[f50336]) ).
thf(f50339,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f105,f8685]) ).
thf(f50340,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f43,f8685]) ).
thf(f50345,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f50340]) ).
thf(f50348,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f50339]) ).
thf(f50351,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_90 ),
inference(constrained_superposition,[],[f539,f2639]) ).
thf(f50354,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_90 ),
inference(duplicate_literal_removal,[],[f50351]) ).
thf(f50355,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f50354]) ).
thf(f50356,plain,
( spl0_57
| spl0_112
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f50355,f2638,f3065,f969]) ).
thf(f50357,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f105,f3066]) ).
thf(f50358,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f43,f3066]) ).
thf(f50360,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_7
| ~ spl0_112 ),
inference(constrained_superposition,[],[f49436,f3066]) ).
thf(f50362,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f48,f3066]) ).
thf(f50367,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f50360]) ).
thf(f50369,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f50362]) ).
thf(f50371,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f50357]) ).
thf(f50372,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f50358]) ).
thf(f50386,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_311 ),
inference(constrained_superposition,[],[f539,f17608]) ).
thf(f50388,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f50386]) ).
thf(f50390,plain,
( spl0_367
| spl0_104
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f50388,f17607,f2940,f19251]) ).
thf(f50407,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f937,f28]) ).
thf(f50408,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f50407]) ).
thf(f50440,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_304 ),
inference(constrained_superposition,[],[f17580,f28]) ).
thf(f50442,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_304 ),
inference(trivial_inequality_removal,[],[f50440]) ).
thf(f50443,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(constrained_superposition,[],[f18069,f37]) ).
thf(f50444,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_333 ),
inference(trivial_inequality_removal,[],[f50443]) ).
thf(f50445,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_333 ),
inference(forward_subsumption_resolution,[],[f50444,f31]) ).
thf(f50447,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_333 ),
inference(constrained_superposition,[],[f43,f50445]) ).
thf(f50455,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_333 ),
inference(trivial_inequality_removal,[],[f50447]) ).
thf(f50464,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f930,f35]) ).
thf(f50468,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f50464]) ).
thf(f50484,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_112
| ~ spl0_154 ),
inference(constrained_superposition,[],[f5379,f3066]) ).
thf(f50489,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_112
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f50484]) ).
thf(f50491,plain,
( $false
| spl0_80
| ~ spl0_112
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f50489,f50306]) ).
thf(f50492,plain,
( spl0_80
| ~ spl0_112
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f50491]) ).
thf(f50493,plain,
( ~ spl0_17
| spl0_120
| ~ spl0_7
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f50367,f3065,f113,f3493,f217]) ).
thf(f50494,plain,
( spl0_445
| spl0_118
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f50348,f8684,f3486,f31553]) ).
thf(f50495,plain,
( ~ spl0_8
| spl0_30
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f50468,f929,f351,f116]) ).
thf(f50496,plain,
( spl0_70
| ~ spl0_41
| spl0_42
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f50369,f3065,f582,f579,f2258]) ).
thf(f50497,plain,
( spl0_139
| spl0_25
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f50371,f3065,f263,f4493]) ).
thf(f50499,plain,
( spl0_122
| spl0_120
| spl0_80 ),
inference(avatar_split_clause,[],[f50313,f2432,f3493,f3597]) ).
thf(f50500,plain,
( spl0_120
| spl0_119
| spl0_60 ),
inference(avatar_split_clause,[],[f50321,f1989,f3490,f3493]) ).
thf(f50501,plain,
( spl0_40
| spl0_30
| spl0_13 ),
inference(avatar_split_clause,[],[f50289,f178,f351,f574]) ).
thf(f50502,plain,
( spl0_320
| spl0_370
| spl0_333 ),
inference(avatar_split_clause,[],[f50455,f18068,f19549,f17647]) ).
thf(f50503,plain,
( spl0_84
| spl0_441
| spl0_80 ),
inference(avatar_split_clause,[],[f50315,f2432,f29492,f2493]) ).
thf(f50504,plain,
( spl0_383
| spl0_142
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f50345,f8684,f4629,f20910]) ).
thf(f50505,plain,
( spl0_30
| spl0_146
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f50372,f3065,f4947,f351]) ).
thf(f50506,plain,
( spl0_395
| spl0_305
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f50144,f18230,f17585,f22000]) ).
thf(f50508,plain,
( spl0_305
| spl0_355
| spl0_304 ),
inference(avatar_split_clause,[],[f50442,f17579,f18637,f17585]) ).
thf(f50509,plain,
( spl0_118
| spl0_117
| spl0_68 ),
inference(avatar_split_clause,[],[f50337,f2203,f3483,f3486]) ).
thf(f50513,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_13
| ~ spl0_54 ),
inference(constrained_superposition,[],[f50408,f50283]) ).
thf(f50514,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_54
| spl0_80 ),
inference(constrained_superposition,[],[f50408,f50306]) ).
thf(f50515,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_183 ),
inference(constrained_superposition,[],[f50408,f8685]) ).
thf(f50516,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_54
| spl0_333 ),
inference(constrained_superposition,[],[f50408,f50445]) ).
thf(f50517,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_54
| spl0_80 ),
inference(trivial_inequality_removal,[],[f50514]) ).
thf(f50518,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_13
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f50513]) ).
thf(f50519,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f50515]) ).
thf(f50524,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_54
| spl0_333 ),
inference(trivial_inequality_removal,[],[f50516]) ).
thf(f50525,plain,
( spl0_120
| spl0_119
| ~ spl0_54
| spl0_80 ),
inference(avatar_split_clause,[],[f50517,f2432,f936,f3490,f3493]) ).
thf(f50526,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_13
| spl0_24
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f50518,f17167]) ).
thf(f50527,plain,
( spl0_118
| spl0_117
| ~ spl0_54
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f50519,f8684,f936,f3483,f3486]) ).
thf(f50528,plain,
( spl0_305
| spl0_355
| ~ spl0_54
| spl0_333 ),
inference(avatar_split_clause,[],[f50524,f18068,f936,f18637,f17585]) ).
thf(f50529,plain,
( spl0_25
| spl0_13
| spl0_24
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f50526,f936,f260,f178,f263]) ).
thf(f50554,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f2912,f28]) ).
thf(f50555,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f50554]) ).
thf(f50599,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f63,f556]) ).
thf(f50600,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f48,f556]) ).
thf(f50602,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f27,f556]) ).
thf(f50604,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f50602]) ).
thf(f50605,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f50599]) ).
thf(f50609,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f50600]) ).
thf(f50611,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| spl0_13
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f50605,f50283]) ).
thf(f50612,plain,
( spl0_86
| ~ spl0_41
| spl0_42
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f50609,f555,f582,f579,f2507]) ).
thf(f50613,plain,
( spl0_59
| spl0_58
| spl0_13
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f50611,f555,f178,f1048,f1051]) ).
thf(f50615,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_118 ),
inference(constrained_superposition,[],[f2246,f3487]) ).
thf(f50618,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f50615]) ).
thf(f50620,plain,
( spl0_295
| spl0_351
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f50618,f3486,f18415,f17414]) ).
thf(f50622,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f43,f3062]) ).
thf(f50627,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f48,f3062]) ).
thf(f50633,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f50622]) ).
thf(f50635,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f50627]) ).
thf(f50640,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_11
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f50635,f497]) ).
thf(f50643,plain,
( ~ spl0_107
| spl0_108
| spl0_11
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f50640,f3061,f171,f2973,f2970]) ).
thf(f50680,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_185 ),
inference(constrained_superposition,[],[f539,f18268]) ).
thf(f50682,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_185 ),
inference(duplicate_literal_removal,[],[f50680]) ).
thf(f50683,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f50682]) ).
thf(f50688,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_414 ),
inference(constrained_superposition,[],[f33752,f37]) ).
thf(f50690,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_414 ),
inference(trivial_inequality_removal,[],[f50688]) ).
thf(f50728,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f26,f17337]) ).
thf(f50731,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f50728]) ).
thf(f50734,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f43,f17415]) ).
thf(f50736,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f166,f17415]) ).
thf(f50739,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f48,f17415]) ).
thf(f50741,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f27,f17415]) ).
thf(f50742,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f50736]) ).
thf(f50744,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f50739]) ).
thf(f50746,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f50741]) ).
thf(f50748,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f50734]) ).
thf(f50751,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_70
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f50744,f2259]) ).
thf(f50753,plain,
( spl0_310
| ~ spl0_301
| spl0_70
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f50751,f17414,f2258,f17569,f17604]) ).
thf(f50755,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_307 ),
inference(constrained_superposition,[],[f539,f17593]) ).
thf(f50758,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_307 ),
inference(duplicate_literal_removal,[],[f50755]) ).
thf(f50759,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f50758]) ).
thf(f50765,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f3980,f35]) ).
thf(f50769,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_112
| ~ spl0_131 ),
inference(constrained_superposition,[],[f3980,f3066]) ).
thf(f50777,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_112
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f50769]) ).
thf(f50778,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f50765]) ).
thf(f50780,plain,
( ~ spl0_19
| ~ spl0_112
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f50777,f3979,f3065,f224]) ).
thf(f50797,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f87,f36]) ).
thf(f50802,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f50797]) ).
thf(f50803,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f50802]) ).
thf(f50810,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_345 ),
inference(constrained_superposition,[],[f48,f18242]) ).
thf(f50818,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f50810]) ).
thf(f50823,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| spl0_311
| ~ spl0_345 ),
inference(forward_subsumption_resolution,[],[f50818,f17981]) ).
thf(f50825,plain,
( ~ spl0_107
| spl0_108
| spl0_311
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f50823,f18241,f17607,f2973,f2970]) ).
thf(f50873,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f43,f17347]) ).
thf(f50878,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f48,f17347]) ).
thf(f50882,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f50878]) ).
thf(f50885,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f50873]) ).
thf(f50890,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_292
| spl0_311 ),
inference(forward_subsumption_resolution,[],[f50882,f17981]) ).
thf(f50892,plain,
( ~ spl0_301
| spl0_310
| ~ spl0_292
| spl0_311 ),
inference(avatar_split_clause,[],[f50890,f17607,f17346,f17604,f17569]) ).
thf(f50894,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_293 ),
inference(constrained_superposition,[],[f539,f17351]) ).
thf(f50899,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f50894]) ).
thf(f50913,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_317 ),
inference(constrained_superposition,[],[f17635,f35]) ).
thf(f50925,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f50913]) ).
thf(f50963,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_108 ),
inference(constrained_superposition,[],[f2974,f150]) ).
thf(f50970,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f50963]) ).
thf(f51003,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_245
| ~ spl0_420 ),
inference(constrained_superposition,[],[f14696,f24473]) ).
thf(f51006,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_245
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f51003]) ).
thf(f51008,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_245
| ~ spl0_420 ),
inference(constrained_superposition,[],[f51006,f151]) ).
thf(f51011,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_245
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f51008]) ).
thf(f51014,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f50555,f28]) ).
thf(f51017,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_102 ),
inference(duplicate_literal_removal,[],[f51014]) ).
thf(f51018,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f51017]) ).
thf(f51208,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_135
| ~ spl0_295 ),
inference(constrained_superposition,[],[f4372,f17415]) ).
thf(f51217,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_135
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f51208]) ).
thf(f51234,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_134
| ~ spl0_295 ),
inference(constrained_superposition,[],[f4368,f17415]) ).
thf(f51242,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_134
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f51234]) ).
thf(f51263,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_305
| ~ spl0_325 ),
inference(constrained_superposition,[],[f18002,f17586]) ).
thf(f51271,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_305
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f51263]) ).
thf(f51274,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_25
| ~ spl0_305
| ~ spl0_325 ),
inference(forward_subsumption_resolution,[],[f51271,f264]) ).
thf(f51276,plain,
( spl0_23
| ~ spl0_25
| ~ spl0_305
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f51274,f18001,f17585,f263,f252]) ).
thf(f51331,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f609,f36]) ).
thf(f51332,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f609,f54]) ).
thf(f51337,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f609,f150]) ).
thf(f51349,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f51337]) ).
thf(f51363,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f51332]) ).
thf(f51364,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f51363]) ).
thf(f51367,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f51331]) ).
thf(f51368,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f51367]) ).
thf(f51369,plain,
( spl0_20
| spl0_96
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f51349,f608,f2789,f227]) ).
thf(f51370,plain,
( spl0_49
| spl0_48
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f51364,f608,f778,f781]) ).
thf(f51371,plain,
( spl0_6
| spl0_49
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f51368,f608,f781,f110]) ).
thf(f51437,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_342 ),
inference(constrained_superposition,[],[f50604,f18231]) ).
thf(f51439,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_38
| ~ spl0_292 ),
inference(constrained_superposition,[],[f50604,f17347]) ).
thf(f51448,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f51439]) ).
thf(f51455,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_38
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f51437]) ).
thf(f51457,plain,
( spl0_309
| ~ spl0_38
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f51448,f17346,f555,f17600]) ).
thf(f51459,plain,
( spl0_396
| ~ spl0_38
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f51455,f18230,f555,f22005]) ).
thf(f51594,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_185
| ~ spl0_289 ),
inference(constrained_superposition,[],[f50731,f18268]) ).
thf(f51598,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_185
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f51594]) ).
thf(f51628,plain,
( spl0_367
| spl0_57
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f50759,f17592,f969,f19251]) ).
thf(f51629,plain,
( spl0_367
| spl0_377
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f50899,f17350,f19762,f19251]) ).
thf(f51632,plain,
( spl0_354
| spl0_119
| spl0_414 ),
inference(avatar_split_clause,[],[f50690,f23535,f3490,f18574]) ).
thf(f51633,plain,
( spl0_84
| ~ spl0_8
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f50778,f3979,f116,f2493]) ).
thf(f51635,plain,
( spl0_57
| spl0_354
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f50683,f8703,f18574,f969]) ).
thf(f51638,plain,
( spl0_413
| spl0_142
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f50748,f17414,f4629,f23261]) ).
thf(f51639,plain,
( spl0_320
| ~ spl0_8
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f50925,f17634,f116,f17647]) ).
thf(f51641,plain,
( spl0_142
| spl0_319
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f50885,f17346,f17641,f4629]) ).
thf(f51642,plain,
( spl0_367
| ~ spl0_245
| ~ spl0_420 ),
inference(avatar_split_clause,[],[f51011,f24472,f14695,f19251]) ).
thf(f51643,plain,
( spl0_84
| spl0_442
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f50633,f3061,f29496,f2493]) ).
thf(f51645,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_84
| ~ spl0_185
| ~ spl0_289 ),
inference(constrained_superposition,[],[f51598,f2494]) ).
thf(f51648,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84
| ~ spl0_185
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f51645]) ).
thf(f51652,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f2246,f17425]) ).
thf(f51654,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f51652]) ).
thf(f51659,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_320 ),
inference(constrained_superposition,[],[f2246,f17648]) ).
thf(f51663,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f51659]) ).
thf(f51793,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_120
| ~ spl0_185
| ~ spl0_289 ),
inference(constrained_superposition,[],[f51648,f3494]) ).
thf(f51803,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_84
| ~ spl0_120
| ~ spl0_185
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f51793]) ).
thf(f51804,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_84
| ~ spl0_120
| ~ spl0_185
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f51803,f68]) ).
thf(f51805,plain,
( $false
| ~ spl0_1
| ~ spl0_25
| ~ spl0_84
| ~ spl0_120
| ~ spl0_185
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f51804,f264]) ).
thf(f51806,plain,
( ~ spl0_1
| ~ spl0_25
| ~ spl0_84
| ~ spl0_120
| ~ spl0_185
| ~ spl0_289 ),
inference(avatar_contradiction_clause,[],[f51805]) ).
thf(f51893,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_354
| ~ spl0_466 ),
inference(constrained_superposition,[],[f44766,f18575]) ).
thf(f51899,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_354
| ~ spl0_466 ),
inference(trivial_inequality_removal,[],[f51893]) ).
thf(f51905,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_112 ),
inference(avatar_component_clause,[],[f3065]) ).
thf(f51906,plain,
( spl0_170
| ~ spl0_112
| ~ spl0_354
| ~ spl0_466 ),
inference(avatar_split_clause,[],[f51899,f44765,f18574,f3065,f7030]) ).
thf(f51951,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_118
| ~ spl0_324 ),
inference(constrained_superposition,[],[f17997,f3487]) ).
thf(f51953,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_142
| ~ spl0_324 ),
inference(constrained_superposition,[],[f17997,f17425]) ).
thf(f51954,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_102
| ~ spl0_324 ),
inference(constrained_superposition,[],[f17997,f51018]) ).
thf(f51955,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_142
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f51953]) ).
thf(f51957,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_118
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f51951]) ).
thf(f51962,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_102
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f51954]) ).
thf(f51963,plain,
( spl0_456
| spl0_129
| ~ spl0_142
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f51955,f17996,f4629,f3938,f34770]) ).
thf(f51964,plain,
( spl0_74
| spl0_468
| ~ spl0_118
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f51957,f17996,f3486,f45387,f2367]) ).
thf(f51965,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_102
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f51962,f31]) ).
thf(f51966,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_102
| ~ spl0_324
| spl0_336 ),
inference(forward_subsumption_resolution,[],[f51965,f18083]) ).
thf(f51967,plain,
( spl0_129
| spl0_456
| ~ spl0_102
| ~ spl0_324
| spl0_336 ),
inference(avatar_split_clause,[],[f51966,f18082,f17996,f2911,f34770,f3938]) ).
thf(f51968,plain,
( ~ spl0_143
| spl0_398
| ~ spl0_134
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f51242,f17414,f4367,f22334,f4632]) ).
thf(f51969,plain,
( spl0_397
| ~ spl0_143
| ~ spl0_135
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f51217,f17414,f4371,f4632,f22330]) ).
thf(f51974,plain,
( ~ spl0_143
| spl0_90
| spl0_306
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f50742,f17414,f17589,f2638,f4632]) ).
thf(f52040,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f27,f556]) ).
thf(f52046,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f52040]) ).
thf(f52266,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_290 ),
inference(constrained_superposition,[],[f52046,f17340]) ).
thf(f52270,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f52266]) ).
thf(f52331,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_38
| ~ spl0_290 ),
inference(constrained_superposition,[],[f52270,f36]) ).
thf(f52333,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_290 ),
inference(constrained_superposition,[],[f52270,f54]) ).
thf(f52339,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f52331]) ).
thf(f52345,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f52333]) ).
thf(f52347,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_290
| spl0_336 ),
inference(forward_subsumption_resolution,[],[f52339,f18083]) ).
thf(f52349,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_290
| spl0_318 ),
inference(forward_subsumption_resolution,[],[f52345,f17974]) ).
thf(f52350,plain,
( spl0_227
| ~ spl0_38
| ~ spl0_290
| spl0_336 ),
inference(avatar_split_clause,[],[f52347,f18082,f17339,f555,f12401]) ).
thf(f52351,plain,
( spl0_199
| ~ spl0_38
| ~ spl0_290
| spl0_318 ),
inference(avatar_split_clause,[],[f52349,f17637,f17339,f555,f9935]) ).
thf(f52414,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_295
| ~ spl0_354 ),
inference(constrained_superposition,[],[f50746,f18575]) ).
thf(f52417,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_295
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f52414]) ).
thf(f52424,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_38
| ~ spl0_295
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f52417,f556]) ).
thf(f52426,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_38
| ~ spl0_295
| ~ spl0_354 ),
inference(constrained_superposition,[],[f52424,f36]) ).
thf(f52427,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_38
| spl0_80
| ~ spl0_295
| ~ spl0_354 ),
inference(constrained_superposition,[],[f52424,f50306]) ).
thf(f52429,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_38
| ~ spl0_290
| ~ spl0_295
| ~ spl0_354 ),
inference(constrained_superposition,[],[f52424,f17340]) ).
thf(f52430,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_38
| ~ spl0_295
| ~ spl0_354 ),
inference(constrained_superposition,[],[f52424,f150]) ).
thf(f52435,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_38
| ~ spl0_295
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f52426]) ).
thf(f52436,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_38
| spl0_80
| ~ spl0_295
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f52427]) ).
thf(f52437,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_38
| ~ spl0_290
| ~ spl0_295
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f52429]) ).
thf(f52438,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_38
| ~ spl0_295
| ~ spl0_354 ),
inference(duplicate_literal_removal,[],[f52430]) ).
thf(f52439,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_38
| ~ spl0_295
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f52438]) ).
thf(f52441,plain,
( spl0_398
| ~ spl0_38
| ~ spl0_290
| ~ spl0_295
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f52437,f18574,f17414,f17339,f555,f22334]) ).
thf(f52442,plain,
( spl0_342
| spl0_343
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f51663,f17647,f18233,f18230]) ).
thf(f52443,plain,
( spl0_170
| ~ spl0_38
| spl0_80
| ~ spl0_295
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f52436,f18574,f17414,f2432,f555,f7030]) ).
thf(f52446,plain,
( spl0_444
| spl0_90
| ~ spl0_38
| ~ spl0_295
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f52439,f18574,f17414,f555,f2638,f30917]) ).
thf(f52447,plain,
( spl0_1
| spl0_151
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f50803,f86,f5263,f67]) ).
thf(f52448,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_38
| spl0_70
| ~ spl0_295
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f52435,f2259]) ).
thf(f52449,plain,
( spl0_136
| ~ spl0_38
| spl0_70
| ~ spl0_295
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f52448,f18574,f17414,f2258,f555,f4409]) ).
thf(f52450,plain,
( spl0_295
| spl0_349
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f51654,f4629,f18373,f17414]) ).
thf(f52451,plain,
( spl0_90
| spl0_109
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f50970,f2973,f3030,f2638]) ).
thf(f52582,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f2246,f17337]) ).
thf(f52585,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f52582]) ).
thf(f52594,plain,
( spl0_296
| spl0_295
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f52585,f17336,f17414,f17417]) ).
thf(f52603,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_135
| ~ spl0_342 ),
inference(constrained_superposition,[],[f4372,f18231]) ).
thf(f52609,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_342 ),
inference(constrained_superposition,[],[f166,f18231]) ).
thf(f52613,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_342 ),
inference(constrained_superposition,[],[f27,f18231]) ).
thf(f52619,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f52609]) ).
thf(f52624,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true ) )
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f52613]) ).
thf(f52630,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_135
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f52603]) ).
thf(f52663,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f166,f17347]) ).
thf(f52674,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f52663]) ).
thf(f52725,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f166,f17354]) ).
thf(f52740,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f52725]) ).
thf(f52855,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_134
| ~ spl0_342 ),
inference(constrained_superposition,[],[f4368,f18231]) ).
thf(f52860,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_134
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f52855]) ).
thf(f52868,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_118
| ~ spl0_349 ),
inference(constrained_superposition,[],[f18374,f3487]) ).
thf(f52884,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_118
| ~ spl0_349 ),
inference(trivial_inequality_removal,[],[f52868]) ).
thf(f52939,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_142
| ~ spl0_351 ),
inference(constrained_superposition,[],[f18416,f17425]) ).
thf(f52940,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_87
| ~ spl0_351 ),
inference(constrained_superposition,[],[f18416,f2514]) ).
thf(f52943,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_102
| ~ spl0_351 ),
inference(constrained_superposition,[],[f18416,f51018]) ).
thf(f52944,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_142
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f52939]) ).
thf(f52950,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_102
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f52943]) ).
thf(f52955,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_87
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f52940]) ).
thf(f52958,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_102
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f52950,f31]) ).
thf(f52969,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_45
| ~ spl0_142
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f52944,f606]) ).
thf(f52970,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_45
| ~ spl0_87
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f52955,f606]) ).
thf(f52971,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_45
| ~ spl0_102
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f52958,f606]) ).
thf(f52973,plain,
( spl0_465
| ~ spl0_45
| ~ spl0_142
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f52969,f18415,f4629,f605,f44760]) ).
thf(f52974,plain,
( spl0_465
| ~ spl0_45
| ~ spl0_87
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f52970,f18415,f2513,f605,f44760]) ).
thf(f52975,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_45
| ~ spl0_102
| spl0_336
| ~ spl0_351 ),
inference(forward_subsumption_resolution,[],[f52971,f18083]) ).
thf(f52976,plain,
( spl0_465
| ~ spl0_45
| ~ spl0_102
| spl0_336
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f52975,f18415,f18082,f2911,f605,f44760]) ).
thf(f53064,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_289
| ~ spl0_465 ),
inference(constrained_superposition,[],[f44761,f17337]) ).
thf(f53065,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_289
| ~ spl0_465 ),
inference(trivial_inequality_removal,[],[f53064]) ).
thf(f53068,plain,
( $false
| ~ spl0_142
| ~ spl0_289
| ~ spl0_465 ),
inference(forward_subsumption_resolution,[],[f53065,f17425]) ).
thf(f53069,plain,
( ~ spl0_142
| ~ spl0_289
| ~ spl0_465 ),
inference(avatar_contradiction_clause,[],[f53068]) ).
thf(f53071,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_90
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f52619,f31067]) ).
thf(f53076,plain,
( ~ spl0_143
| spl0_306
| spl0_307
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f52674,f17346,f17592,f17589,f4632]) ).
thf(f53081,plain,
( spl0_137
| ~ spl0_1
| ~ spl0_118
| ~ spl0_349 ),
inference(avatar_split_clause,[],[f52884,f18373,f3486,f67,f4450]) ).
thf(f53082,plain,
( spl0_447
| ~ spl0_322
| ~ spl0_134
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f52860,f18230,f4367,f17986,f33508]) ).
thf(f53083,plain,
( ~ spl0_322
| spl0_433
| ~ spl0_135
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f52630,f18230,f4371,f26905,f17986]) ).
thf(f53084,plain,
( spl0_412
| spl0_185
| ~ spl0_322
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f52740,f17353,f17986,f8703,f23232]) ).
thf(f53085,plain,
( spl0_412
| ~ spl0_322
| spl0_90
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f53071,f18230,f2638,f17986,f23232]) ).
thf(f53110,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_112 ),
inference(constrained_superposition,[],[f51905,f28]) ).
thf(f53111,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_112 ),
inference(trivial_inequality_removal,[],[f53110]) ).
thf(f53112,plain,
( spl0_156
| spl0_303
| spl0_112 ),
inference(avatar_split_clause,[],[f53111,f3065,f17576,f5524]) ).
thf(f53171,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f2246,f23536]) ).
thf(f53178,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f53171]) ).
thf(f53181,plain,
( spl0_428
| spl0_295
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f53178,f23535,f17414,f25629]) ).
thf(f53198,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f166,f17340]) ).
thf(f53212,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f53198]) ).
thf(f53219,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_111
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f53212,f3062]) ).
thf(f53678,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_294
| ~ spl0_467 ),
inference(constrained_superposition,[],[f44778,f17354]) ).
thf(f53681,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_294
| ~ spl0_467 ),
inference(trivial_inequality_removal,[],[f53678]) ).
thf(f53687,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_294
| ~ spl0_342
| ~ spl0_467 ),
inference(forward_subsumption_resolution,[],[f53681,f18231]) ).
thf(f53688,plain,
( spl0_447
| ~ spl0_294
| ~ spl0_342
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f53687,f44777,f18230,f17353,f33508]) ).
thf(f53690,plain,
( spl0_175
| spl0_185
| ~ spl0_111
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f53219,f17339,f3061,f8703,f7680]) ).
thf(f53764,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_143 ),
inference(constrained_superposition,[],[f17567,f28]) ).
thf(f53766,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_143 ),
inference(trivial_inequality_removal,[],[f53764]) ).
thf(f53767,plain,
( spl0_185
| spl0_302
| spl0_143 ),
inference(avatar_split_clause,[],[f53766,f4632,f17572,f8703]) ).
thf(f53903,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_293 ),
inference(constrained_superposition,[],[f2246,f17351]) ).
thf(f53913,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f53903]) ).
thf(f53919,plain,
( spl0_371
| spl0_295
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f53913,f17350,f17414,f19625]) ).
thf(f54330,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_342 ),
inference(constrained_superposition,[],[f52624,f556]) ).
thf(f54334,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_38
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f54330]) ).
thf(f54337,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_38
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f54334,f556]) ).
thf(f54343,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_38
| ~ spl0_342 ),
inference(constrained_superposition,[],[f54337,f150]) ).
thf(f54346,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_38
| ~ spl0_342 ),
inference(duplicate_literal_removal,[],[f54343]) ).
thf(f54347,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_38
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f54346]) ).
thf(f54356,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_38
| spl0_90
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f54347,f31067]) ).
thf(f54359,plain,
( spl0_444
| ~ spl0_38
| spl0_90
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f54356,f18230,f2638,f555,f30917]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f91]) ).
cnf(s3,plain,
( spl0_6
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f118]) ).
cnf(s4,plain,
( spl0_1
| spl0_8 ),
inference(sat_conversion,[],[f124]) ).
cnf(s6,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_6
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f147]) ).
cnf(s8,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f183]) ).
cnf(s9,plain,
( spl0_15
| spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f219]) ).
cnf(s10,plain,
( spl0_18
| ~ spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f229]) ).
cnf(s14,plain,
( spl0_13
| ~ spl0_18
| spl0_26 ),
inference(sat_conversion,[],[f276]) ).
cnf(s18,plain,
( spl0_17
| spl0_30 ),
inference(sat_conversion,[],[f362]) ).
cnf(s24,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_20
| ~ spl0_25
| spl0_35 ),
inference(sat_conversion,[],[f487]) ).
cnf(s25,plain,
( ~ spl0_11
| ~ spl0_20
| ~ spl0_35
| spl0_36 ),
inference(sat_conversion,[],[f501]) ).
cnf(s27,plain,
( spl0_3
| ~ spl0_15
| ~ spl0_25
| spl0_34 ),
inference(sat_conversion,[],[f506]) ).
cnf(s28,plain,
( ~ spl0_6
| spl0_11
| ~ spl0_13
| spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f561]) ).
cnf(s31,plain,
( spl0_11
| spl0_41 ),
inference(sat_conversion,[],[f591]) ).
cnf(s33,plain,
( spl0_11
| spl0_41 ),
inference(sat_conversion,[],[f595]) ).
cnf(s35,plain,
( ~ spl0_11
| ~ spl0_15
| ~ spl0_34
| spl0_43 ),
inference(sat_conversion,[],[f599]) ).
cnf(s37,plain,
( spl0_45
| spl0_46 ),
inference(sat_conversion,[],[f610]) ).
cnf(s39,plain,
( ~ spl0_11
| ~ spl0_25
| spl0_33 ),
inference(sat_conversion,[],[f618]) ).
cnf(s44,plain,
( spl0_13
| ~ spl0_41
| ~ spl0_49 ),
inference(sat_conversion,[],[f792]) ).
cnf(s45,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_13
| ~ spl0_29 ),
inference(sat_conversion,[],[f806]) ).
cnf(s47,plain,
( ~ spl0_8
| ~ spl0_40
| spl0_51 ),
inference(sat_conversion,[],[f853]) ).
cnf(s56,plain,
( spl0_13
| spl0_54
| ~ spl0_59 ),
inference(sat_conversion,[],[f1067]) ).
cnf(s60,plain,
( spl0_48
| ~ spl0_54 ),
inference(sat_conversion,[],[f1109]) ).
cnf(s70,plain,
( ~ spl0_36
| spl0_71
| spl0_73 ),
inference(sat_conversion,[],[f2273]) ).
cnf(s85,plain,
( ~ spl0_15
| ~ spl0_29
| ~ spl0_80
| spl0_83
| spl0_84 ),
inference(sat_conversion,[],[f2495]) ).
cnf(s87,plain,
( ~ spl0_3
| spl0_4
| spl0_13
| spl0_30 ),
inference(sat_conversion,[],[f2503]) ).
cnf(s94,plain,
( spl0_1
| ~ spl0_38
| ~ spl0_59
| spl0_87 ),
inference(sat_conversion,[],[f2529]) ).
cnf(s101,plain,
( ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_80
| spl0_83 ),
inference(sat_conversion,[],[f2653]) ).
cnf(s104,plain,
( ~ spl0_15
| spl0_57
| spl0_93 ),
inference(sat_conversion,[],[f2699]) ).
cnf(s113,plain,
( spl0_50
| ~ spl0_95 ),
inference(sat_conversion,[],[f2832]) ).
cnf(s114,plain,
( ~ spl0_50
| spl0_51 ),
inference(sat_conversion,[],[f2838]) ).
cnf(s118,plain,
( spl0_70
| ~ spl0_73
| spl0_102
| spl0_103 ),
inference(sat_conversion,[],[f2916]) ).
cnf(s126,plain,
( spl0_80
| spl0_101
| ~ spl0_108 ),
inference(sat_conversion,[],[f3028]) ).
cnf(s129,plain,
( spl0_70
| spl0_102
| ~ spl0_108 ),
inference(sat_conversion,[],[f3035]) ).
cnf(s135,plain,
( ~ spl0_25
| ~ spl0_104
| spl0_113 ),
inference(sat_conversion,[],[f3161]) ).
cnf(s136,plain,
( ~ spl0_13
| ~ spl0_25
| spl0_114
| spl0_115 ),
inference(sat_conversion,[],[f3256]) ).
cnf(s137,plain,
( ~ spl0_6
| spl0_11
| ~ spl0_13
| spl0_114
| spl0_115 ),
inference(sat_conversion,[],[f3260]) ).
cnf(s141,plain,
( ~ spl0_25
| ~ spl0_115 ),
inference(sat_conversion,[],[f3301]) ).
cnf(s143,plain,
( ~ spl0_6
| spl0_10
| ~ spl0_115 ),
inference(sat_conversion,[],[f3307]) ).
cnf(s150,plain,
( spl0_3
| spl0_45 ),
inference(sat_conversion,[],[f3397]) ).
cnf(s152,plain,
( spl0_5
| ~ spl0_101 ),
inference(sat_conversion,[],[f3431]) ).
cnf(s155,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_6
| spl0_11
| ~ spl0_13 ),
inference(sat_conversion,[],[f3481]) ).
cnf(s157,plain,
( spl0_60
| spl0_119
| spl0_120 ),
inference(sat_conversion,[],[f3495]) ).
cnf(s159,plain,
( ~ spl0_6
| ~ spl0_20
| spl0_35
| ~ spl0_47 ),
inference(sat_conversion,[],[f3497]) ).
cnf(s162,plain,
( ~ spl0_28
| ~ spl0_43
| spl0_87 ),
inference(sat_conversion,[],[f3504]) ).
cnf(s163,plain,
( ~ spl0_21
| ~ spl0_25
| ~ spl0_45 ),
inference(sat_conversion,[],[f3540]) ).
cnf(s177,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_11
| ~ spl0_13
| ~ spl0_45
| ~ spl0_52 ),
inference(sat_conversion,[],[f3849]) ).
cnf(s178,plain,
( ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_16
| ~ spl0_45 ),
inference(sat_conversion,[],[f3880]) ).
cnf(s206,plain,
( spl0_90
| ~ spl0_112
| spl0_134 ),
inference(sat_conversion,[],[f4369]) ).
cnf(s207,plain,
( spl0_80
| ~ spl0_112
| spl0_135 ),
inference(sat_conversion,[],[f4373]) ).
cnf(s208,plain,
( ~ spl0_17
| spl0_27
| spl0_84
| ~ spl0_135 ),
inference(sat_conversion,[],[f4385]) ).
cnf(s209,plain,
( ~ spl0_17
| spl0_84
| ~ spl0_134
| spl0_136 ),
inference(sat_conversion,[],[f4411]) ).
cnf(s210,plain,
( spl0_84
| ~ spl0_112
| ~ spl0_136 ),
inference(sat_conversion,[],[f4426]) ).
cnf(s213,plain,
( ~ spl0_27
| spl0_84
| ~ spl0_90
| ~ spl0_114 ),
inference(sat_conversion,[],[f4489]) ).
cnf(s215,plain,
( ~ spl0_8
| spl0_25
| ~ spl0_95 ),
inference(sat_conversion,[],[f4491]) ).
cnf(s219,plain,
( ~ spl0_8
| spl0_25
| spl0_26
| ~ spl0_40 ),
inference(sat_conversion,[],[f4501]) ).
cnf(s221,plain,
( ~ spl0_19
| spl0_26
| spl0_120
| ~ spl0_135 ),
inference(sat_conversion,[],[f4505]) ).
cnf(s237,plain,
~ spl0_24,
inference(sat_conversion,[],[f4651]) ).
cnf(s238,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f4659]) ).
cnf(s240,plain,
( ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f4681]) ).
cnf(s246,plain,
( ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_45
| ~ spl0_102 ),
inference(sat_conversion,[],[f4739]) ).
cnf(s247,plain,
( spl0_11
| ~ spl0_13
| spl0_21
| spl0_23
| ~ spl0_102 ),
inference(sat_conversion,[],[f4741]) ).
cnf(s249,plain,
( spl0_23
| ~ spl0_70
| ~ spl0_120
| spl0_145 ),
inference(sat_conversion,[],[f4774]) ).
cnf(s250,plain,
( ~ spl0_45
| ~ spl0_120
| ~ spl0_132 ),
inference(sat_conversion,[],[f4776]) ).
cnf(s251,plain,
( spl0_80
| spl0_141 ),
inference(sat_conversion,[],[f4778]) ).
cnf(s252,plain,
( ~ spl0_90
| ~ spl0_114
| ~ spl0_120 ),
inference(sat_conversion,[],[f4798]) ).
cnf(s253,plain,
( ~ spl0_13
| ~ spl0_120
| ~ spl0_128 ),
inference(sat_conversion,[],[f4818]) ).
cnf(s254,plain,
( ~ spl0_13
| ~ spl0_45
| ~ spl0_129 ),
inference(sat_conversion,[],[f4828]) ).
cnf(s255,plain,
( ~ spl0_6
| spl0_11
| ~ spl0_13
| ~ spl0_30
| ~ spl0_45 ),
inference(sat_conversion,[],[f4830]) ).
cnf(s259,plain,
( ~ spl0_39
| ~ spl0_80
| spl0_112 ),
inference(sat_conversion,[],[f4872]) ).
cnf(s265,plain,
( ~ spl0_13
| ~ spl0_83
| ~ spl0_90 ),
inference(sat_conversion,[],[f4943]) ).
cnf(s266,plain,
( ~ spl0_45
| ~ spl0_70
| ~ spl0_83 ),
inference(sat_conversion,[],[f4945]) ).
cnf(s269,plain,
( ~ spl0_7
| ~ spl0_60
| spl0_98 ),
inference(sat_conversion,[],[f4962]) ).
cnf(s272,plain,
( ~ spl0_1
| ~ spl0_80
| ~ spl0_110 ),
inference(sat_conversion,[],[f4987]) ).
cnf(s275,plain,
( ~ spl0_63
| ~ spl0_70
| ~ spl0_80
| spl0_110 ),
inference(sat_conversion,[],[f4994]) ).
cnf(s276,plain,
( ~ spl0_1
| ~ spl0_45
| ~ spl0_70
| ~ spl0_80 ),
inference(sat_conversion,[],[f5021]) ).
cnf(s278,plain,
( ~ spl0_3
| spl0_27
| spl0_84
| ~ spl0_122 ),
inference(sat_conversion,[],[f5027]) ).
cnf(s280,plain,
( ~ spl0_1
| ~ spl0_70
| ~ spl0_137 ),
inference(sat_conversion,[],[f5068]) ).
cnf(s281,plain,
( spl0_45
| ~ spl0_80
| ~ spl0_138
| spl0_149 ),
inference(sat_conversion,[],[f5094]) ).
cnf(s282,plain,
( spl0_15
| ~ spl0_32 ),
inference(sat_conversion,[],[f5114]) ).
cnf(s284,plain,
( ~ spl0_112
| spl0_124
| ~ spl0_149 ),
inference(sat_conversion,[],[f5127]) ).
cnf(s289,plain,
( ~ spl0_3
| spl0_11
| ~ spl0_70
| ~ spl0_80
| ~ spl0_138
| spl0_151 ),
inference(sat_conversion,[],[f5265]) ).
cnf(s290,plain,
( spl0_84
| ~ spl0_151 ),
inference(sat_conversion,[],[f5285]) ).
cnf(s292,plain,
( ~ spl0_70
| ~ spl0_138
| ~ spl0_151 ),
inference(sat_conversion,[],[f5296]) ).
cnf(s306,plain,
( ~ spl0_39
| ~ spl0_49
| spl0_158 ),
inference(sat_conversion,[],[f5910]) ).
cnf(s309,plain,
( ~ spl0_39
| ~ spl0_48
| spl0_121 ),
inference(sat_conversion,[],[f6058]) ).
cnf(s310,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_48
| spl0_121
| spl0_129 ),
inference(sat_conversion,[],[f6077]) ).
cnf(s321,plain,
( ~ spl0_39
| ~ spl0_41
| spl0_42
| spl0_160 ),
inference(sat_conversion,[],[f6378]) ).
cnf(s322,plain,
( ~ spl0_49
| spl0_159
| ~ spl0_160 ),
inference(sat_conversion,[],[f6426]) ).
cnf(s335,plain,
( ~ spl0_3
| ~ spl0_70
| ~ spl0_138
| ~ spl0_150 ),
inference(sat_conversion,[],[f6989]) ).
cnf(s345,plain,
( ~ spl0_41
| spl0_42
| spl0_86
| ~ spl0_158 ),
inference(sat_conversion,[],[f8189]) ).
cnf(s400,plain,
~ spl0_119,
inference(sat_conversion,[],[f8846]) ).
cnf(s432,plain,
( ~ spl0_48
| spl0_97
| spl0_121 ),
inference(sat_conversion,[],[f9959]) ).
cnf(s437,plain,
( ~ spl0_86
| ~ spl0_90
| ~ spl0_104
| spl0_203 ),
inference(sat_conversion,[],[f10045]) ).
cnf(s532,plain,
( ~ spl0_42
| spl0_98
| ~ spl0_112 ),
inference(sat_conversion,[],[f10866]) ).
cnf(s553,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_221
| spl0_222 ),
inference(sat_conversion,[],[f11441]) ).
cnf(s554,plain,
( ~ spl0_6
| ~ spl0_15
| spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f11442]) ).
cnf(s563,plain,
( ~ spl0_6
| ~ spl0_51
| spl0_86
| ~ spl0_114 ),
inference(sat_conversion,[],[f11805]) ).
cnf(s587,plain,
( ~ spl0_20
| spl0_57
| spl0_121 ),
inference(sat_conversion,[],[f12490]) ).
cnf(s705,plain,
( ~ spl0_80
| spl0_83
| ~ spl0_222 ),
inference(sat_conversion,[],[f13985]) ).
cnf(s706,plain,
( ~ spl0_13
| spl0_39
| ~ spl0_222 ),
inference(sat_conversion,[],[f13986]) ).
cnf(s715,plain,
( ~ spl0_11
| spl0_205
| ~ spl0_237 ),
inference(sat_conversion,[],[f14150]) ).
cnf(s717,plain,
( ~ spl0_1
| ~ spl0_70
| ~ spl0_80
| ~ spl0_237 ),
inference(sat_conversion,[],[f14168]) ).
cnf(s718,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_13
| ~ spl0_237 ),
inference(sat_conversion,[],[f14171]) ).
cnf(s719,plain,
( ~ spl0_70
| ~ spl0_90
| ~ spl0_205 ),
inference(sat_conversion,[],[f14193]) ).
cnf(s720,plain,
( ~ spl0_15
| spl0_87
| ~ spl0_205
| ~ spl0_221 ),
inference(sat_conversion,[],[f14194]) ).
cnf(s721,plain,
( ~ spl0_6
| ~ spl0_20
| spl0_36
| ~ spl0_205 ),
inference(sat_conversion,[],[f14195]) ).
cnf(s957,plain,
( spl0_24
| spl0_289
| spl0_290 ),
inference(sat_conversion,[],[f17341]) ).
cnf(s958,plain,
( spl0_24
| spl0_291
| spl0_292 ),
inference(sat_conversion,[],[f17348]) ).
cnf(s959,plain,
( spl0_24
| spl0_293
| spl0_294 ),
inference(sat_conversion,[],[f17355]) ).
cnf(s961,plain,
( ~ spl0_20
| spl0_118
| ~ spl0_289
| spl0_297 ),
inference(sat_conversion,[],[f17424]) ).
cnf(s962,plain,
( ~ spl0_5
| spl0_142
| ~ spl0_289
| spl0_298 ),
inference(sat_conversion,[],[f17429]) ).
cnf(s963,plain,
( ~ spl0_15
| spl0_142
| ~ spl0_289
| spl0_297 ),
inference(sat_conversion,[],[f17430]) ).
cnf(s964,plain,
( ~ spl0_48
| spl0_118
| ~ spl0_289
| spl0_298 ),
inference(sat_conversion,[],[f17431]) ).
cnf(s965,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_80
| ~ spl0_90
| ~ spl0_142
| ~ spl0_289 ),
inference(sat_conversion,[],[f17432]) ).
cnf(s967,plain,
( spl0_142
| ~ spl0_221
| ~ spl0_289
| spl0_299 ),
inference(sat_conversion,[],[f17439]) ).
cnf(s982,plain,
( ~ spl0_93
| spl0_142
| ~ spl0_292
| spl0_309 ),
inference(sat_conversion,[],[f17602]) ).
cnf(s987,plain,
( spl0_118
| ~ spl0_121
| ~ spl0_292
| spl0_309 ),
inference(sat_conversion,[],[f17622]) ).
cnf(s997,plain,
( spl0_142
| spl0_316 ),
inference(sat_conversion,[],[f17660]) ).
cnf(s1063,plain,
~ spl0_303,
inference(sat_conversion,[],[f18142]) ).
cnf(s1076,plain,
( ~ spl0_240
| spl0_295
| spl0_301
| spl0_337 ),
inference(sat_conversion,[],[f18185]) ).
cnf(s1079,plain,
( spl0_308
| spl0_320 ),
inference(sat_conversion,[],[f18196]) ).
cnf(s1088,plain,
( ~ spl0_6
| ~ spl0_114
| spl0_143
| spl0_336 ),
inference(sat_conversion,[],[f18270]) ).
cnf(s1095,plain,
( ~ spl0_52
| ~ spl0_68
| spl0_185
| spl0_302 ),
inference(sat_conversion,[],[f18321]) ).
cnf(s1096,plain,
( ~ spl0_56
| ~ spl0_68
| ~ spl0_301 ),
inference(sat_conversion,[],[f18322]) ).
cnf(s1103,plain,
( ~ spl0_20
| spl0_118
| ~ spl0_142
| spl0_348 ),
inference(sat_conversion,[],[f18371]) ).
cnf(s1104,plain,
( ~ spl0_142
| spl0_295
| spl0_349 ),
inference(sat_conversion,[],[f18375]) ).
cnf(s1114,plain,
( spl0_20
| ~ spl0_52 ),
inference(sat_conversion,[],[f18471]) ).
cnf(s1130,plain,
( spl0_119
| ~ spl0_160
| spl0_183
| spl0_336 ),
inference(sat_conversion,[],[f18546]) ).
cnf(s1131,plain,
( ~ spl0_1
| spl0_192
| ~ spl0_318 ),
inference(sat_conversion,[],[f18569]) ).
cnf(s1132,plain,
( ~ spl0_71
| spl0_186
| spl0_295
| ~ spl0_318 ),
inference(sat_conversion,[],[f18570]) ).
cnf(s1134,plain,
( spl0_188
| ~ spl0_318 ),
inference(sat_conversion,[],[f18572]) ).
cnf(s1137,plain,
( ~ spl0_6
| spl0_222
| ~ spl0_318
| spl0_336 ),
inference(sat_conversion,[],[f18578]) ).
cnf(s1145,plain,
( ~ spl0_185
| ~ spl0_203
| spl0_295 ),
inference(sat_conversion,[],[f18697]) ).
cnf(s1146,plain,
( ~ spl0_114
| ~ spl0_118
| ~ spl0_185 ),
inference(sat_conversion,[],[f18699]) ).
cnf(s1149,plain,
( ~ spl0_185
| spl0_324 ),
inference(sat_conversion,[],[f18702]) ).
cnf(s1152,plain,
( ~ spl0_6
| spl0_29
| ~ spl0_185
| spl0_336 ),
inference(sat_conversion,[],[f18707]) ).
cnf(s1153,plain,
( ~ spl0_124
| ~ spl0_183
| ~ spl0_295
| ~ spl0_301 ),
inference(sat_conversion,[],[f18742]) ).
cnf(s1161,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_80
| spl0_112
| spl0_129 ),
inference(sat_conversion,[],[f18797]) ).
cnf(s1162,plain,
( ~ spl0_13
| spl0_39
| ~ spl0_71
| spl0_112 ),
inference(sat_conversion,[],[f18798]) ).
cnf(s1168,plain,
( ~ spl0_84
| spl0_244 ),
inference(sat_conversion,[],[f18836]) ).
cnf(s1172,plain,
( ~ spl0_4
| ~ spl0_60
| ~ spl0_290
| ~ spl0_316 ),
inference(sat_conversion,[],[f18899]) ).
cnf(s1178,plain,
( spl0_311
| spl0_364 ),
inference(sat_conversion,[],[f18987]) ).
cnf(s1213,plain,
~ spl0_355,
inference(sat_conversion,[],[f19222]) ).
cnf(s1218,plain,
( ~ spl0_1
| ~ spl0_333
| spl0_357 ),
inference(sat_conversion,[],[f19248]) ).
cnf(s1219,plain,
( ~ spl0_6
| spl0_222
| spl0_311
| ~ spl0_333 ),
inference(sat_conversion,[],[f19249]) ).
cnf(s1229,plain,
( ~ spl0_48
| spl0_305
| spl0_333 ),
inference(sat_conversion,[],[f19288]) ).
cnf(s1256,plain,
~ spl0_302,
inference(sat_conversion,[],[f19499]) ).
cnf(s1267,plain,
( ~ spl0_11
| ~ spl0_84
| ~ spl0_128 ),
inference(sat_conversion,[],[f19592]) ).
cnf(s1272,plain,
( ~ spl0_70
| spl0_189
| ~ spl0_291
| spl0_295
| ~ spl0_372 ),
inference(sat_conversion,[],[f19642]) ).
cnf(s1275,plain,
( spl0_342
| spl0_372 ),
inference(sat_conversion,[],[f19651]) ).
cnf(s1277,plain,
( ~ spl0_307
| spl0_330 ),
inference(sat_conversion,[],[f19686]) ).
cnf(s1278,plain,
( ~ spl0_203
| ~ spl0_307
| spl0_342 ),
inference(sat_conversion,[],[f19687]) ).
cnf(s1281,plain,
( ~ spl0_114
| ~ spl0_305
| ~ spl0_307 ),
inference(sat_conversion,[],[f19692]) ).
cnf(s1286,plain,
( ~ spl0_6
| spl0_29
| ~ spl0_307
| spl0_311 ),
inference(sat_conversion,[],[f19698]) ).
cnf(s1297,plain,
( ~ spl0_18
| ~ spl0_112
| spl0_204 ),
inference(sat_conversion,[],[f19829]) ).
cnf(s1300,plain,
( ~ spl0_70
| ~ spl0_80
| ~ spl0_90
| ~ spl0_113 ),
inference(sat_conversion,[],[f19896]) ).
cnf(s1302,plain,
( ~ spl0_108
| ~ spl0_290
| ~ spl0_294
| ~ spl0_308 ),
inference(sat_conversion,[],[f19933]) ).
cnf(s1305,plain,
( spl0_24
| spl0_295
| spl0_375 ),
inference(sat_conversion,[],[f19943]) ).
cnf(s1311,plain,
( ~ spl0_16
| spl0_315
| ~ spl0_367 ),
inference(sat_conversion,[],[f19998]) ).
cnf(s1327,plain,
( spl0_109
| spl0_185
| ~ spl0_310 ),
inference(sat_conversion,[],[f20180]) ).
cnf(s1328,plain,
( spl0_102
| ~ spl0_310
| spl0_336 ),
inference(sat_conversion,[],[f20183]) ).
cnf(s1337,plain,
( spl0_301
| spl0_336 ),
inference(sat_conversion,[],[f20210]) ).
cnf(s1341,plain,
( ~ spl0_240
| spl0_295
| ~ spl0_336
| spl0_337 ),
inference(sat_conversion,[],[f20229]) ).
cnf(s1342,plain,
( ~ spl0_70
| ~ spl0_84
| spl0_189
| spl0_295
| ~ spl0_336 ),
inference(sat_conversion,[],[f20232]) ).
cnf(s1343,plain,
( ~ spl0_84
| ~ spl0_90
| spl0_295
| spl0_335
| ~ spl0_336 ),
inference(sat_conversion,[],[f20233]) ).
cnf(s1349,plain,
( ~ spl0_84
| ~ spl0_329
| spl0_342 ),
inference(sat_conversion,[],[f20278]) ).
cnf(s1354,plain,
( spl0_98
| ~ spl0_342
| ~ spl0_380 ),
inference(sat_conversion,[],[f20459]) ).
cnf(s1355,plain,
( spl0_101
| spl0_333
| ~ spl0_380 ),
inference(sat_conversion,[],[f20463]) ).
cnf(s1365,plain,
( ~ spl0_56
| ~ spl0_60
| ~ spl0_107 ),
inference(sat_conversion,[],[f20509]) ).
cnf(s1378,plain,
( ~ spl0_143
| spl0_153
| ~ spl0_306 ),
inference(sat_conversion,[],[f20651]) ).
cnf(s1380,plain,
( spl0_154
| ~ spl0_306
| spl0_318 ),
inference(sat_conversion,[],[f20660]) ).
cnf(s1381,plain,
( spl0_153
| spl0_185
| ~ spl0_306 ),
inference(sat_conversion,[],[f20662]) ).
cnf(s1385,plain,
( spl0_68
| ~ spl0_114
| spl0_153
| ~ spl0_306 ),
inference(sat_conversion,[],[f20666]) ).
cnf(s1392,plain,
( ~ spl0_154
| ~ spl0_365
| ~ spl0_367 ),
inference(sat_conversion,[],[f20774]) ).
cnf(s1393,plain,
( ~ spl0_136
| ~ spl0_308
| ~ spl0_367 ),
inference(sat_conversion,[],[f20776]) ).
cnf(s1403,plain,
( ~ spl0_11
| spl0_144
| spl0_354
| ~ spl0_376 ),
inference(sat_conversion,[],[f20898]) ).
cnf(s1404,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_118
| ~ spl0_376 ),
inference(sat_conversion,[],[f20899]) ).
cnf(s1407,plain,
( ~ spl0_132
| ~ spl0_142
| spl0_295 ),
inference(sat_conversion,[],[f20904]) ).
cnf(s1412,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_300
| spl0_320 ),
inference(sat_conversion,[],[f20968]) ).
cnf(s1413,plain,
( ~ spl0_11
| spl0_144
| spl0_367
| ~ spl0_374 ),
inference(sat_conversion,[],[f20996]) ).
cnf(s1414,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_305
| ~ spl0_374 ),
inference(sat_conversion,[],[f20997]) ).
cnf(s1423,plain,
( ~ spl0_70
| spl0_245
| ~ spl0_289
| ~ spl0_348 ),
inference(sat_conversion,[],[f21068]) ).
cnf(s1429,plain,
( ~ spl0_70
| spl0_237
| ~ spl0_244 ),
inference(sat_conversion,[],[f21152]) ).
cnf(s1430,plain,
( spl0_47
| ~ spl0_90
| ~ spl0_244 ),
inference(sat_conversion,[],[f21153]) ).
cnf(s1431,plain,
( spl0_63
| ~ spl0_80
| ~ spl0_244 ),
inference(sat_conversion,[],[f21154]) ).
cnf(s1432,plain,
( ~ spl0_244
| ~ spl0_289
| spl0_376 ),
inference(sat_conversion,[],[f21155]) ).
cnf(s1443,plain,
( ~ spl0_6
| ~ spl0_13
| spl0_39
| ~ spl0_291
| spl0_336
| spl0_367 ),
inference(sat_conversion,[],[f21358]) ).
cnf(s1448,plain,
( ~ spl0_13
| spl0_245
| ~ spl0_351
| spl0_354 ),
inference(sat_conversion,[],[f21431]) ).
cnf(s1451,plain,
( ~ spl0_80
| ~ spl0_289
| ~ spl0_351 ),
inference(sat_conversion,[],[f21448]) ).
cnf(s1452,plain,
( ~ spl0_80
| ~ spl0_90
| ~ spl0_289
| ~ spl0_351 ),
inference(sat_conversion,[],[f21450]) ).
cnf(s1460,plain,
( ~ spl0_16
| ~ spl0_17
| spl0_118
| ~ spl0_121
| ~ spl0_143 ),
inference(sat_conversion,[],[f21518]) ).
cnf(s1467,plain,
( ~ spl0_68
| ~ spl0_204
| ~ spl0_290 ),
inference(sat_conversion,[],[f21532]) ).
cnf(s1470,plain,
( ~ spl0_57
| ~ spl0_90
| spl0_203 ),
inference(sat_conversion,[],[f21535]) ).
cnf(s1473,plain,
( ~ spl0_13
| ~ spl0_359 ),
inference(sat_conversion,[],[f21547]) ).
cnf(s1474,plain,
( ~ spl0_11
| ~ spl0_359 ),
inference(sat_conversion,[],[f21551]) ).
cnf(s1475,plain,
( spl0_38
| ~ spl0_359 ),
inference(sat_conversion,[],[f21552]) ).
cnf(s1478,plain,
( ~ spl0_129
| ~ spl0_142
| spl0_354 ),
inference(sat_conversion,[],[f21574]) ).
cnf(s1492,plain,
( ~ spl0_156
| ~ spl0_185
| ~ spl0_341 ),
inference(sat_conversion,[],[f21725]) ).
cnf(s1494,plain,
( ~ spl0_70
| ~ spl0_156
| ~ spl0_185
| spl0_189
| spl0_295 ),
inference(sat_conversion,[],[f21727]) ).
cnf(s1500,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_74 ),
inference(sat_conversion,[],[f21794]) ).
cnf(s1502,plain,
( spl0_38
| ~ spl0_74
| ~ spl0_121 ),
inference(sat_conversion,[],[f21798]) ).
cnf(s1503,plain,
( ~ spl0_60
| ~ spl0_112
| ~ spl0_170 ),
inference(sat_conversion,[],[f21832]) ).
cnf(s1504,plain,
( ~ spl0_68
| ~ spl0_170
| ~ spl0_354 ),
inference(sat_conversion,[],[f21835]) ).
cnf(s1505,plain,
( spl0_36
| ~ spl0_121
| ~ spl0_170 ),
inference(sat_conversion,[],[f21836]) ).
cnf(s1506,plain,
( ~ spl0_1
| ~ spl0_187
| ~ spl0_336 ),
inference(sat_conversion,[],[f21892]) ).
cnf(s1507,plain,
( ~ spl0_187
| ~ spl0_291
| ~ spl0_305 ),
inference(sat_conversion,[],[f21894]) ).
cnf(s1508,plain,
( ~ spl0_11
| ~ spl0_70
| ~ spl0_245 ),
inference(sat_conversion,[],[f21910]) ).
cnf(s1509,plain,
( ~ spl0_13
| ~ spl0_80
| ~ spl0_245 ),
inference(sat_conversion,[],[f21914]) ).
cnf(s1513,plain,
( ~ spl0_90
| spl0_295
| ~ spl0_323 ),
inference(sat_conversion,[],[f21966]) ).
cnf(s1514,plain,
( ~ spl0_16
| ~ spl0_121
| spl0_305
| ~ spl0_342
| ~ spl0_388 ),
inference(sat_conversion,[],[f21970]) ).
cnf(s1517,plain,
( ~ spl0_48
| ~ spl0_291
| spl0_305
| spl0_389 ),
inference(sat_conversion,[],[f21976]) ).
cnf(s1522,plain,
( ~ spl0_121
| ~ spl0_294
| spl0_305
| spl0_392 ),
inference(sat_conversion,[],[f21990]) ).
cnf(s1528,plain,
( ~ spl0_90
| ~ spl0_291
| spl0_295
| spl0_335
| ~ spl0_372 ),
inference(sat_conversion,[],[f22008]) ).
cnf(s1531,plain,
( ~ spl0_189
| ~ spl0_291
| ~ spl0_320 ),
inference(sat_conversion,[],[f22012]) ).
cnf(s1538,plain,
( ~ spl0_129
| ~ spl0_320
| spl0_367 ),
inference(sat_conversion,[],[f22052]) ).
cnf(s1543,plain,
( ~ spl0_11
| ~ spl0_307
| spl0_328
| spl0_329 ),
inference(sat_conversion,[],[f22098]) ).
cnf(s1554,plain,
( ~ spl0_292
| ~ spl0_301
| ~ spl0_370
| spl0_397 ),
inference(sat_conversion,[],[f22332]) ).
cnf(s1560,plain,
( ~ spl0_13
| ~ spl0_318
| ~ spl0_335 ),
inference(sat_conversion,[],[f22375]) ).
cnf(s1563,plain,
( ~ spl0_1
| ~ spl0_311
| ~ spl0_334 ),
inference(sat_conversion,[],[f22414]) ).
cnf(s1571,plain,
( ~ spl0_3
| ~ spl0_315
| spl0_333 ),
inference(sat_conversion,[],[f22450]) ).
cnf(s1572,plain,
( ~ spl0_30
| ~ spl0_70
| ~ spl0_138 ),
inference(sat_conversion,[],[f22452]) ).
cnf(s1578,plain,
( spl0_11
| ~ spl0_16
| spl0_151 ),
inference(sat_conversion,[],[f22466]) ).
cnf(s1585,plain,
( spl0_70
| spl0_95
| ~ spl0_146 ),
inference(sat_conversion,[],[f22491]) ).
cnf(s1588,plain,
( ~ spl0_16
| ~ spl0_292
| ~ spl0_308
| ~ spl0_354 ),
inference(sat_conversion,[],[f22494]) ).
cnf(s1600,plain,
( ~ spl0_1
| ~ spl0_30
| ~ spl0_114 ),
inference(sat_conversion,[],[f22533]) ).
cnf(s1602,plain,
( ~ spl0_30
| spl0_242 ),
inference(sat_conversion,[],[f22537]) ).
cnf(s1605,plain,
( ~ spl0_16
| ~ spl0_17
| spl0_185
| ~ spl0_354 ),
inference(sat_conversion,[],[f22544]) ).
cnf(s1606,plain,
( ~ spl0_16
| ~ spl0_17
| spl0_68
| ~ spl0_114
| spl0_119
| ~ spl0_354 ),
inference(sat_conversion,[],[f22545]) ).
cnf(s1608,plain,
( spl0_22
| ~ spl0_84
| ~ spl0_142
| ~ spl0_299 ),
inference(sat_conversion,[],[f22547]) ).
cnf(s1609,plain,
( ~ spl0_84
| ~ spl0_189
| spl0_295 ),
inference(sat_conversion,[],[f22548]) ).
cnf(s1613,plain,
( ~ spl0_84
| spl0_112
| ~ spl0_129 ),
inference(sat_conversion,[],[f22562]) ).
cnf(s1616,plain,
( ~ spl0_17
| ~ spl0_27
| ~ spl0_80
| ~ spl0_138 ),
inference(sat_conversion,[],[f22607]) ).
cnf(s1617,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_45
| ~ spl0_80
| ~ spl0_90 ),
inference(sat_conversion,[],[f22611]) ).
cnf(s1618,plain,
( spl0_49
| spl0_70
| ~ spl0_148 ),
inference(sat_conversion,[],[f22612]) ).
cnf(s1621,plain,
( spl0_84
| spl0_388 ),
inference(sat_conversion,[],[f22615]) ).
cnf(s1629,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_144 ),
inference(sat_conversion,[],[f22714]) ).
cnf(s1632,plain,
( ~ spl0_58
| spl0_333 ),
inference(sat_conversion,[],[f22744]) ).
cnf(s1634,plain,
( ~ spl0_21
| ~ spl0_142
| ~ spl0_185 ),
inference(sat_conversion,[],[f22771]) ).
cnf(s1635,plain,
( ~ spl0_90
| ~ spl0_156
| ~ spl0_185
| spl0_295
| spl0_335 ),
inference(sat_conversion,[],[f22772]) ).
cnf(s1641,plain,
( ~ spl0_101
| ~ spl0_308
| spl0_333 ),
inference(sat_conversion,[],[f22808]) ).
cnf(s1650,plain,
( ~ spl0_114
| spl0_117
| ~ spl0_305
| spl0_322 ),
inference(sat_conversion,[],[f22864]) ).
cnf(s1652,plain,
( ~ spl0_1
| ~ spl0_237
| ~ spl0_318
| ~ spl0_336 ),
inference(sat_conversion,[],[f22889]) ).
cnf(s1653,plain,
( ~ spl0_26
| ~ spl0_68 ),
inference(sat_conversion,[],[f22899]) ).
cnf(s1654,plain,
( ~ spl0_26
| ~ spl0_60 ),
inference(sat_conversion,[],[f22901]) ).
cnf(s1667,plain,
( ~ spl0_23
| ~ spl0_305
| ~ spl0_342
| spl0_363 ),
inference(sat_conversion,[],[f23059]) ).
cnf(s1669,plain,
( ~ spl0_16
| ~ spl0_295
| ~ spl0_354
| ~ spl0_388 ),
inference(sat_conversion,[],[f23128]) ).
cnf(s1670,plain,
( ~ spl0_23
| ~ spl0_294
| ~ spl0_305
| spl0_379 ),
inference(sat_conversion,[],[f23164]) ).
cnf(s1673,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_63
| spl0_144 ),
inference(sat_conversion,[],[f23220]) ).
cnf(s1674,plain,
( spl0_118
| ~ spl0_121
| ~ spl0_295
| spl0_410 ),
inference(sat_conversion,[],[f23224]) ).
cnf(s1678,plain,
( spl0_70
| ~ spl0_86 ),
inference(sat_conversion,[],[f23246]) ).
cnf(s1684,plain,
( ~ spl0_114
| ~ spl0_118
| spl0_119
| spl0_143 ),
inference(sat_conversion,[],[f23279]) ).
cnf(s1692,plain,
( ~ spl0_118
| ~ spl0_137
| ~ spl0_289 ),
inference(sat_conversion,[],[f23375]) ).
cnf(s1707,plain,
( ~ spl0_295
| spl0_302
| ~ spl0_342
| ~ spl0_412
| spl0_414 ),
inference(sat_conversion,[],[f23537]) ).
cnf(s1725,plain,
~ spl0_405,
inference(sat_conversion,[],[f23704]) ).
cnf(s1729,plain,
( ~ spl0_3
| spl0_84
| spl0_151
| ~ spl0_401 ),
inference(sat_conversion,[],[f23764]) ).
cnf(s1730,plain,
( spl0_315
| spl0_333
| ~ spl0_342
| ~ spl0_401 ),
inference(sat_conversion,[],[f23765]) ).
cnf(s1731,plain,
( ~ spl0_47
| ~ spl0_70
| ~ spl0_90
| spl0_110 ),
inference(sat_conversion,[],[f23766]) ).
cnf(s1743,plain,
( ~ spl0_11
| spl0_245
| ~ spl0_343
| ~ spl0_415 ),
inference(sat_conversion,[],[f23988]) ).
cnf(s1744,plain,
( ~ spl0_1
| spl0_137
| ~ spl0_305
| ~ spl0_343 ),
inference(sat_conversion,[],[f23990]) ).
cnf(s1746,plain,
( ~ spl0_13
| spl0_245
| ~ spl0_356
| ~ spl0_415 ),
inference(sat_conversion,[],[f24064]) ).
cnf(s1749,plain,
( spl0_33
| ~ spl0_118
| ~ spl0_336 ),
inference(sat_conversion,[],[f24090]) ).
cnf(s1750,plain,
( ~ spl0_118
| spl0_222
| ~ spl0_318 ),
inference(sat_conversion,[],[f24091]) ).
cnf(s1752,plain,
( ~ spl0_13
| ~ spl0_33
| spl0_113 ),
inference(sat_conversion,[],[f24128]) ).
cnf(s1753,plain,
( ~ spl0_295
| ~ spl0_301
| ~ spl0_360 ),
inference(sat_conversion,[],[f24129]) ).
cnf(s1755,plain,
( ~ spl0_49
| ~ spl0_183
| ~ spl0_301 ),
inference(sat_conversion,[],[f24131]) ).
cnf(s1756,plain,
( ~ spl0_95
| ~ spl0_143
| ~ spl0_301 ),
inference(sat_conversion,[],[f24133]) ).
cnf(s1761,plain,
( ~ spl0_319
| ~ spl0_322
| spl0_394 ),
inference(sat_conversion,[],[f24144]) ).
cnf(s1765,plain,
( ~ spl0_114
| spl0_304
| ~ spl0_319
| spl0_394 ),
inference(sat_conversion,[],[f24150]) ).
cnf(s1766,plain,
( spl0_6
| ~ spl0_56 ),
inference(sat_conversion,[],[f24200]) ).
cnf(s1769,plain,
( ~ spl0_60
| ~ spl0_295
| ~ spl0_397 ),
inference(sat_conversion,[],[f24236]) ).
cnf(s1778,plain,
( ~ spl0_292
| ~ spl0_301
| ~ spl0_363
| spl0_418 ),
inference(sat_conversion,[],[f24320]) ).
cnf(s1784,plain,
( ~ spl0_183
| ~ spl0_292
| ~ spl0_395
| spl0_418 ),
inference(sat_conversion,[],[f24333]) ).
cnf(s1789,plain,
( spl0_318
| ~ spl0_419 ),
inference(sat_conversion,[],[f24366]) ).
cnf(s1794,plain,
( ~ spl0_192
| ~ spl0_293
| spl0_329
| ~ spl0_333 ),
inference(sat_conversion,[],[f24389]) ).
cnf(s1795,plain,
( spl0_156
| ~ spl0_295
| spl0_303
| ~ spl0_398 ),
inference(sat_conversion,[],[f24425]) ).
cnf(s1797,plain,
( ~ spl0_292
| ~ spl0_418
| spl0_420 ),
inference(sat_conversion,[],[f24479]) ).
cnf(s1801,plain,
( ~ spl0_143
| ~ spl0_227
| ~ spl0_295
| ~ spl0_301 ),
inference(sat_conversion,[],[f24541]) ).
cnf(s1802,plain,
( spl0_54
| ~ spl0_183
| ~ spl0_381 ),
inference(sat_conversion,[],[f24564]) ).
cnf(s1803,plain,
( spl0_131
| ~ spl0_295
| ~ spl0_381 ),
inference(sat_conversion,[],[f24567]) ).
cnf(s1804,plain,
( spl0_52
| ~ spl0_143
| ~ spl0_381 ),
inference(sat_conversion,[],[f24569]) ).
cnf(s1805,plain,
( spl0_52
| spl0_185
| ~ spl0_381 ),
inference(sat_conversion,[],[f24571]) ).
cnf(s1810,plain,
( spl0_131
| ~ spl0_342
| ~ spl0_416 ),
inference(sat_conversion,[],[f24675]) ).
cnf(s1815,plain,
( spl0_227
| ~ spl0_295
| ~ spl0_404 ),
inference(sat_conversion,[],[f24761]) ).
cnf(s1818,plain,
( spl0_95
| ~ spl0_143
| ~ spl0_404 ),
inference(sat_conversion,[],[f24764]) ).
cnf(s1819,plain,
( spl0_96
| spl0_318
| ~ spl0_404 ),
inference(sat_conversion,[],[f24766]) ).
cnf(s1820,plain,
( spl0_95
| spl0_185
| ~ spl0_404 ),
inference(sat_conversion,[],[f24767]) ).
cnf(s1821,plain,
( spl0_95
| spl0_336
| ~ spl0_404 ),
inference(sat_conversion,[],[f24770]) ).
cnf(s1823,plain,
( spl0_68
| spl0_95
| ~ spl0_114
| ~ spl0_404 ),
inference(sat_conversion,[],[f24772]) ).
cnf(s1829,plain,
( ~ spl0_293
| ~ spl0_296
| ~ spl0_372
| spl0_422 ),
inference(sat_conversion,[],[f24842]) ).
cnf(s1830,plain,
( ~ spl0_156
| spl0_245
| ~ spl0_296
| ~ spl0_414 ),
inference(sat_conversion,[],[f24844]) ).
cnf(s1832,plain,
( ~ spl0_313
| ~ spl0_322
| spl0_390 ),
inference(sat_conversion,[],[f24868]) ).
cnf(s1837,plain,
( spl0_115
| ~ spl0_118
| ~ spl0_305
| ~ spl0_389 ),
inference(sat_conversion,[],[f24892]) ).
cnf(s1841,plain,
( ~ spl0_183
| ~ spl0_292
| ~ spl0_393
| spl0_419 ),
inference(sat_conversion,[],[f24913]) ).
cnf(s1842,plain,
( spl0_222
| ~ spl0_305
| ~ spl0_333 ),
inference(sat_conversion,[],[f24937]) ).
cnf(s1843,plain,
( spl0_33
| ~ spl0_305
| ~ spl0_311 ),
inference(sat_conversion,[],[f24938]) ).
cnf(s1844,plain,
( ~ spl0_46
| spl0_124
| spl0_305
| ~ spl0_342 ),
inference(sat_conversion,[],[f24939]) ).
cnf(s1845,plain,
( ~ spl0_4
| spl0_305
| ~ spl0_342
| ~ spl0_388 ),
inference(sat_conversion,[],[f24940]) ).
cnf(s1854,plain,
( ~ spl0_292
| ~ spl0_398
| spl0_405
| spl0_415 ),
inference(sat_conversion,[],[f24955]) ).
cnf(s1862,plain,
( spl0_311
| ~ spl0_319
| spl0_425 ),
inference(sat_conversion,[],[f24989]) ).
cnf(s1863,plain,
( ~ spl0_46
| spl0_118
| spl0_124
| ~ spl0_295 ),
inference(sat_conversion,[],[f24990]) ).
cnf(s1866,plain,
( ~ spl0_46
| spl0_96
| spl0_118
| ~ spl0_143 ),
inference(sat_conversion,[],[f24993]) ).
cnf(s1886,plain,
~ spl0_117,
inference(sat_conversion,[],[f25145]) ).
cnf(s1901,plain,
( ~ spl0_306
| spl0_336
| spl0_426 ),
inference(sat_conversion,[],[f25396]) ).
cnf(s1909,plain,
( ~ spl0_139
| ~ spl0_290
| spl0_390 ),
inference(sat_conversion,[],[f25509]) ).
cnf(s1913,plain,
( ~ spl0_3
| ~ spl0_60
| spl0_84
| ~ spl0_290
| ~ spl0_295 ),
inference(sat_conversion,[],[f25619]) ).
cnf(s1914,plain,
( spl0_336
| ~ spl0_360
| spl0_427 ),
inference(sat_conversion,[],[f25623]) ).
cnf(s1915,plain,
( ~ spl0_128
| spl0_295
| ~ spl0_414 ),
inference(sat_conversion,[],[f25624]) ).
cnf(s1918,plain,
( ~ spl0_60
| spl0_185
| spl0_199
| ~ spl0_290 ),
inference(sat_conversion,[],[f25627]) ).
cnf(s1925,plain,
( ~ spl0_90
| ~ spl0_120
| spl0_295
| ~ spl0_318
| spl0_335 ),
inference(sat_conversion,[],[f25641]) ).
cnf(s1926,plain,
( ~ spl0_80
| ~ spl0_120
| spl0_430 ),
inference(sat_conversion,[],[f25645]) ).
cnf(s1927,plain,
( spl0_38
| ~ spl0_93
| ~ spl0_129 ),
inference(sat_conversion,[],[f25647]) ).
cnf(s1928,plain,
( ~ spl0_107
| ~ spl0_290
| ~ spl0_413
| spl0_431 ),
inference(sat_conversion,[],[f25651]) ).
cnf(s1929,plain,
( ~ spl0_107
| spl0_204
| ~ spl0_290
| ~ spl0_383 ),
inference(sat_conversion,[],[f25652]) ).
cnf(s1931,plain,
( ~ spl0_290
| ~ spl0_431 ),
inference(sat_conversion,[],[f25666]) ).
cnf(s1932,plain,
( spl0_70
| ~ spl0_431 ),
inference(sat_conversion,[],[f25668]) ).
cnf(s1937,plain,
( ~ spl0_120
| spl0_243 ),
inference(sat_conversion,[],[f25693]) ).
cnf(s1948,plain,
( ~ spl0_23
| ~ spl0_118
| ~ spl0_142 ),
inference(sat_conversion,[],[f25792]) ).
cnf(s1956,plain,
( spl0_32
| ~ spl0_109 ),
inference(sat_conversion,[],[f25867]) ).
cnf(s1957,plain,
( ~ spl0_3
| ~ spl0_80
| ~ spl0_109
| ~ spl0_138 ),
inference(sat_conversion,[],[f25869]) ).
cnf(s1970,plain,
( ~ spl0_107
| ~ spl0_111
| ~ spl0_290
| ~ spl0_394 ),
inference(sat_conversion,[],[f25966]) ).
cnf(s1980,plain,
( ~ spl0_21
| ~ spl0_307
| ~ spl0_320 ),
inference(sat_conversion,[],[f26026]) ).
cnf(s1983,plain,
( ~ spl0_204
| ~ spl0_304
| ~ spl0_345 ),
inference(sat_conversion,[],[f26165]) ).
cnf(s1986,plain,
( ~ spl0_154
| ~ spl0_183
| ~ spl0_354 ),
inference(sat_conversion,[],[f26179]) ).
cnf(s1990,plain,
( ~ spl0_80
| ~ spl0_291
| spl0_295
| ~ spl0_305
| spl0_341 ),
inference(sat_conversion,[],[f26230]) ).
cnf(s1991,plain,
( ~ spl0_142
| ~ spl0_293
| ~ spl0_329 ),
inference(sat_conversion,[],[f26248]) ).
cnf(s1997,plain,
( spl0_307
| spl0_322 ),
inference(sat_conversion,[],[f26283]) ).
cnf(s2003,plain,
( ~ spl0_18
| ~ spl0_354
| spl0_397 ),
inference(sat_conversion,[],[f26327]) ).
cnf(s2011,plain,
( ~ spl0_308
| ~ spl0_345
| ~ spl0_417 ),
inference(sat_conversion,[],[f26417]) ).
cnf(s2015,plain,
( spl0_70
| ~ spl0_175
| spl0_426 ),
inference(sat_conversion,[],[f26494]) ).
cnf(s2016,plain,
( ~ spl0_11
| spl0_237
| ~ spl0_242 ),
inference(sat_conversion,[],[f26546]) ).
cnf(s2017,plain,
( ~ spl0_13
| spl0_63
| ~ spl0_242 ),
inference(sat_conversion,[],[f26547]) ).
cnf(s2018,plain,
( ~ spl0_118
| ~ spl0_145
| spl0_295 ),
inference(sat_conversion,[],[f26555]) ).
cnf(s2024,plain,
( ~ spl0_1
| ~ spl0_80
| spl0_189
| spl0_295
| ~ spl0_318 ),
inference(sat_conversion,[],[f26613]) ).
cnf(s2035,plain,
( ~ spl0_1
| ~ spl0_80
| spl0_329
| ~ spl0_333
| spl0_342 ),
inference(sat_conversion,[],[f26683]) ).
cnf(s2041,plain,
( ~ spl0_16
| ~ spl0_112
| spl0_417 ),
inference(sat_conversion,[],[f26826]) ).
cnf(s2042,plain,
( ~ spl0_16
| ~ spl0_354
| spl0_423 ),
inference(sat_conversion,[],[f26827]) ).
cnf(s2048,plain,
( ~ spl0_17
| ~ spl0_292
| ~ spl0_310
| ~ spl0_367 ),
inference(sat_conversion,[],[f26950]) ).
cnf(s2053,plain,
( ~ spl0_3
| spl0_318
| ~ spl0_423 ),
inference(sat_conversion,[],[f26956]) ).
cnf(s2054,plain,
( spl0_70
| ~ spl0_90
| ~ spl0_102
| spl0_129
| spl0_132 ),
inference(sat_conversion,[],[f26959]) ).
cnf(s2055,plain,
( spl0_23
| spl0_70
| ~ spl0_80
| ~ spl0_102
| spl0_132 ),
inference(sat_conversion,[],[f26960]) ).
cnf(s2056,plain,
( spl0_70
| spl0_84
| ~ spl0_102 ),
inference(sat_conversion,[],[f26961]) ).
cnf(s2060,plain,
( spl0_74
| ~ spl0_90
| ~ spl0_120
| spl0_145 ),
inference(sat_conversion,[],[f26980]) ).
cnf(s2069,plain,
( ~ spl0_305
| spl0_342
| spl0_356 ),
inference(sat_conversion,[],[f27046]) ).
cnf(s2072,plain,
( ~ spl0_290
| spl0_302
| ~ spl0_385
| spl0_414 ),
inference(sat_conversion,[],[f27142]) ).
cnf(s2078,plain,
( ~ spl0_13
| spl0_129
| ~ spl0_192
| ~ spl0_414 ),
inference(sat_conversion,[],[f27275]) ).
cnf(s2080,plain,
( ~ spl0_145
| ~ spl0_305
| spl0_342 ),
inference(sat_conversion,[],[f27284]) ).
cnf(s2083,plain,
( spl0_47
| ~ spl0_142
| ~ spl0_185 ),
inference(sat_conversion,[],[f27397]) ).
cnf(s2084,plain,
( ~ spl0_142
| ~ spl0_291
| spl0_374 ),
inference(sat_conversion,[],[f27398]) ).
cnf(s2085,plain,
( ~ spl0_142
| spl0_237
| ~ spl0_336 ),
inference(sat_conversion,[],[f27399]) ).
cnf(s2102,plain,
( ~ spl0_295
| ~ spl0_306
| ~ spl0_342
| spl0_405
| spl0_415 ),
inference(sat_conversion,[],[f27720]) ).
cnf(s2104,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_33
| ~ spl0_295
| ~ spl0_306
| ~ spl0_333
| ~ spl0_342 ),
inference(sat_conversion,[],[f27755]) ).
cnf(s2105,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_33
| ~ spl0_333
| spl0_367 ),
inference(sat_conversion,[],[f27756]) ).
cnf(s2113,plain,
( ~ spl0_138
| spl0_302
| ~ spl0_307
| spl0_345 ),
inference(sat_conversion,[],[f27800]) ).
cnf(s2117,plain,
( ~ spl0_107
| spl0_336
| ~ spl0_418 ),
inference(sat_conversion,[],[f27805]) ).
cnf(s2119,plain,
( ~ spl0_8
| spl0_120
| ~ spl0_427 ),
inference(sat_conversion,[],[f27807]) ).
cnf(s2125,plain,
( spl0_142
| ~ spl0_143
| spl0_382 ),
inference(sat_conversion,[],[f27816]) ).
cnf(s2126,plain,
( ~ spl0_342
| ~ spl0_364
| ~ spl0_427 ),
inference(sat_conversion,[],[f27817]) ).
cnf(s2132,plain,
( ~ spl0_41
| spl0_70
| ~ spl0_385 ),
inference(sat_conversion,[],[f27823]) ).
cnf(s2134,plain,
( ~ spl0_45
| spl0_366 ),
inference(sat_conversion,[],[f27827]) ).
cnf(s2137,plain,
( ~ spl0_30
| ~ spl0_97
| spl0_113 ),
inference(sat_conversion,[],[f27838]) ).
cnf(s2138,plain,
( ~ spl0_30
| ~ spl0_104
| spl0_205 ),
inference(sat_conversion,[],[f27839]) ).
cnf(s2142,plain,
( ~ spl0_30
| ~ spl0_45
| ~ spl0_84
| ~ spl0_90
| ~ spl0_97 ),
inference(sat_conversion,[],[f27856]) ).
cnf(s2149,plain,
( ~ spl0_98
| ~ spl0_295
| ~ spl0_316 ),
inference(sat_conversion,[],[f27983]) ).
cnf(s2156,plain,
( spl0_84
| ~ spl0_87 ),
inference(sat_conversion,[],[f28016]) ).
cnf(s2157,plain,
( ~ spl0_36
| spl0_73
| ~ spl0_145 ),
inference(sat_conversion,[],[f28034]) ).
cnf(s2160,plain,
( spl0_70
| spl0_84
| ~ spl0_221 ),
inference(sat_conversion,[],[f28052]) ).
cnf(s2172,plain,
( ~ spl0_23
| ~ spl0_84
| ~ spl0_120 ),
inference(sat_conversion,[],[f28127]) ).
cnf(s2176,plain,
( ~ spl0_107
| ~ spl0_112
| ~ spl0_426 ),
inference(sat_conversion,[],[f28163]) ).
cnf(s2180,plain,
( ~ spl0_21
| ~ spl0_84
| ~ spl0_90 ),
inference(sat_conversion,[],[f28189]) ).
cnf(s2184,plain,
( spl0_90
| spl0_111
| spl0_303 ),
inference(sat_conversion,[],[f28194]) ).
cnf(s2186,plain,
( ~ spl0_111
| ~ spl0_143
| ~ spl0_418 ),
inference(sat_conversion,[],[f28196]) ).
cnf(s2190,plain,
( ~ spl0_112
| ~ spl0_136
| ~ spl0_388 ),
inference(sat_conversion,[],[f28252]) ).
cnf(s2191,plain,
( ~ spl0_144
| ~ spl0_336
| ~ spl0_414 ),
inference(sat_conversion,[],[f28281]) ).
cnf(s2194,plain,
( ~ spl0_36
| spl0_120 ),
inference(sat_conversion,[],[f28285]) ).
cnf(s2195,plain,
( ~ spl0_103
| spl0_311 ),
inference(sat_conversion,[],[f28287]) ).
cnf(s2202,plain,
( ~ spl0_22
| ~ spl0_320 ),
inference(sat_conversion,[],[f28300]) ).
cnf(s2203,plain,
( ~ spl0_22
| ~ spl0_84 ),
inference(sat_conversion,[],[f28302]) ).
cnf(s2205,plain,
( ~ spl0_86
| spl0_311 ),
inference(sat_conversion,[],[f28337]) ).
cnf(s2214,plain,
( ~ spl0_185
| ~ spl0_205
| ~ spl0_336 ),
inference(sat_conversion,[],[f28375]) ).
cnf(s2217,plain,
( ~ spl0_11
| ~ spl0_39
| ~ spl0_45 ),
inference(sat_conversion,[],[f28450]) ).
cnf(s2219,plain,
( ~ spl0_39
| ~ spl0_318
| ~ spl0_414 ),
inference(sat_conversion,[],[f28454]) ).
cnf(s2222,plain,
( ~ spl0_25
| ~ spl0_80
| ~ spl0_138 ),
inference(sat_conversion,[],[f28459]) ).
cnf(s2225,plain,
( ~ spl0_36
| ~ spl0_80
| spl0_115
| spl0_145 ),
inference(sat_conversion,[],[f28470]) ).
cnf(s2229,plain,
( ~ spl0_36
| spl0_118 ),
inference(sat_conversion,[],[f28499]) ).
cnf(s2232,plain,
( ~ spl0_80
| spl0_115
| ~ spl0_120
| spl0_145 ),
inference(sat_conversion,[],[f28506]) ).
cnf(s2247,plain,
( spl0_73
| ~ spl0_87
| ~ spl0_132 ),
inference(sat_conversion,[],[f28649]) ).
cnf(s2248,plain,
( ~ spl0_17
| spl0_90
| ~ spl0_417 ),
inference(sat_conversion,[],[f28672]) ).
cnf(s2250,plain,
( spl0_69
| ~ spl0_70
| ~ spl0_237 ),
inference(sat_conversion,[],[f28694]) ).
cnf(s2253,plain,
( ~ spl0_83
| ~ spl0_289
| ~ spl0_318 ),
inference(sat_conversion,[],[f28746]) ).
cnf(s2254,plain,
( ~ spl0_111
| ~ spl0_112
| ~ spl0_153 ),
inference(sat_conversion,[],[f28770]) ).
cnf(s2260,plain,
( ~ spl0_25
| spl0_209 ),
inference(sat_conversion,[],[f28794]) ).
cnf(s2261,plain,
( ~ spl0_25
| spl0_94
| ~ spl0_97 ),
inference(sat_conversion,[],[f28795]) ).
cnf(s2268,plain,
( ~ spl0_138
| ~ spl0_185
| spl0_290
| spl0_303 ),
inference(sat_conversion,[],[f28888]) ).
cnf(s2269,plain,
( ~ spl0_94
| ~ spl0_185
| ~ spl0_318 ),
inference(sat_conversion,[],[f28890]) ).
cnf(s2285,plain,
( ~ spl0_136
| ~ spl0_316
| ~ spl0_354 ),
inference(sat_conversion,[],[f28977]) ).
cnf(s2297,plain,
( ~ spl0_25
| ~ spl0_318
| ~ spl0_323 ),
inference(sat_conversion,[],[f29112]) ).
cnf(s2298,plain,
( ~ spl0_25
| ~ spl0_185
| ~ spl0_187 ),
inference(sat_conversion,[],[f29126]) ).
cnf(s2303,plain,
( ~ spl0_237
| ~ spl0_293
| ~ spl0_311
| ~ spl0_336 ),
inference(sat_conversion,[],[f29133]) ).
cnf(s2316,plain,
( spl0_73
| ~ spl0_86
| ~ spl0_237 ),
inference(sat_conversion,[],[f29222]) ).
cnf(s2317,plain,
( spl0_80
| spl0_106
| spl0_333
| ~ spl0_345 ),
inference(sat_conversion,[],[f29223]) ).
cnf(s2343,plain,
( ~ spl0_1
| ~ spl0_70
| ~ spl0_120
| ~ spl0_237 ),
inference(sat_conversion,[],[f29469]) ).
cnf(s2344,plain,
( ~ spl0_1
| ~ spl0_84
| ~ spl0_145 ),
inference(sat_conversion,[],[f29470]) ).
cnf(s2358,plain,
( spl0_84
| ~ spl0_345
| spl0_440 ),
inference(sat_conversion,[],[f29490]) ).
cnf(s2370,plain,
( ~ spl0_25
| spl0_112
| ~ spl0_145 ),
inference(sat_conversion,[],[f29678]) ).
cnf(s2371,plain,
( ~ spl0_25
| ~ spl0_145
| ~ spl0_156 ),
inference(sat_conversion,[],[f29679]) ).
cnf(s2372,plain,
( ~ spl0_17
| spl0_25
| ~ spl0_27 ),
inference(sat_conversion,[],[f29697]) ).
cnf(s2373,plain,
( ~ spl0_7
| spl0_25
| spl0_109 ),
inference(sat_conversion,[],[f29706]) ).
cnf(s2374,plain,
( ~ spl0_4
| spl0_25
| spl0_136 ),
inference(sat_conversion,[],[f29716]) ).
cnf(s2381,plain,
( spl0_52
| spl0_90
| ~ spl0_106 ),
inference(sat_conversion,[],[f29937]) ).
cnf(s2388,plain,
( ~ spl0_118
| ~ spl0_366
| spl0_376 ),
inference(sat_conversion,[],[f30154]) ).
cnf(s2389,plain,
( ~ spl0_120
| spl0_240
| ~ spl0_366 ),
inference(sat_conversion,[],[f30155]) ).
cnf(s2390,plain,
( ~ spl0_1
| spl0_237
| ~ spl0_366 ),
inference(sat_conversion,[],[f30156]) ).
cnf(s2391,plain,
( ~ spl0_156
| spl0_240
| ~ spl0_242 ),
inference(sat_conversion,[],[f30208]) ).
cnf(s2394,plain,
( ~ spl0_295
| ~ spl0_360
| spl0_427 ),
inference(sat_conversion,[],[f30368]) ).
cnf(s2397,plain,
( spl0_199
| ~ spl0_295
| ~ spl0_438 ),
inference(sat_conversion,[],[f30422]) ).
cnf(s2398,plain,
( ~ spl0_292
| spl0_300
| ~ spl0_438 ),
inference(sat_conversion,[],[f30423]) ).
cnf(s2401,plain,
( spl0_150
| spl0_318
| ~ spl0_438 ),
inference(sat_conversion,[],[f30427]) ).
cnf(s2406,plain,
( ~ spl0_13
| ~ spl0_209
| spl0_222 ),
inference(sat_conversion,[],[f30495]) ).
cnf(s2409,plain,
( spl0_71
| ~ spl0_156
| ~ spl0_209 ),
inference(sat_conversion,[],[f30498]) ).
cnf(s2415,plain,
( spl0_80
| ~ spl0_290
| ~ spl0_411
| spl0_431 ),
inference(sat_conversion,[],[f30633]) ).
cnf(s2416,plain,
( ~ spl0_3
| spl0_142
| ~ spl0_411
| spl0_417 ),
inference(sat_conversion,[],[f30634]) ).
cnf(s2422,plain,
( ~ spl0_294
| spl0_390
| ~ spl0_439 ),
inference(sat_conversion,[],[f30705]) ).
cnf(s2428,plain,
( spl0_80
| ~ spl0_111
| ~ spl0_152
| spl0_417 ),
inference(sat_conversion,[],[f30774]) ).
cnf(s2429,plain,
( ~ spl0_29
| ~ spl0_185
| spl0_186
| ~ spl0_318 ),
inference(sat_conversion,[],[f30776]) ).
cnf(s2430,plain,
( spl0_56
| spl0_336
| ~ spl0_381 ),
inference(sat_conversion,[],[f30777]) ).
cnf(s2431,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_185
| spl0_189
| ~ spl0_318 ),
inference(sat_conversion,[],[f30778]) ).
cnf(s2434,plain,
( spl0_54
| spl0_318
| ~ spl0_381 ),
inference(sat_conversion,[],[f30780]) ).
cnf(s2435,plain,
( ~ spl0_68
| ~ spl0_73
| ~ spl0_131 ),
inference(sat_conversion,[],[f30782]) ).
cnf(s2438,plain,
( ~ spl0_295
| ~ spl0_301
| spl0_397
| ~ spl0_441 ),
inference(sat_conversion,[],[f30787]) ).
cnf(s2439,plain,
( ~ spl0_113
| ~ spl0_185
| ~ spl0_318
| ~ spl0_336 ),
inference(sat_conversion,[],[f30788]) ).
cnf(s2441,plain,
( spl0_54
| spl0_333
| ~ spl0_416 ),
inference(sat_conversion,[],[f30796]) ).
cnf(s2442,plain,
( spl0_56
| spl0_70
| ~ spl0_106 ),
inference(sat_conversion,[],[f30797]) ).
cnf(s2444,plain,
( spl0_54
| spl0_80
| ~ spl0_106 ),
inference(sat_conversion,[],[f30799]) ).
cnf(s2445,plain,
( spl0_70
| spl0_107 ),
inference(sat_conversion,[],[f30800]) ).
cnf(s2465,plain,
( ~ spl0_29
| ~ spl0_30
| ~ spl0_45
| spl0_443 ),
inference(sat_conversion,[],[f30840]) ).
cnf(s2466,plain,
( ~ spl0_1
| ~ spl0_13
| spl0_22
| ~ spl0_30
| ~ spl0_45 ),
inference(sat_conversion,[],[f30841]) ).
cnf(s2467,plain,
( ~ spl0_30
| ~ spl0_57
| spl0_205 ),
inference(sat_conversion,[],[f30842]) ).
cnf(s2476,plain,
( ~ spl0_38
| ~ spl0_41
| spl0_170
| ~ spl0_383 ),
inference(sat_conversion,[],[f30915]) ).
cnf(s2483,plain,
( ~ spl0_27
| ~ spl0_68
| ~ spl0_316 ),
inference(sat_conversion,[],[f30986]) ).
cnf(s2493,plain,
( ~ spl0_90
| ~ spl0_328
| spl0_342 ),
inference(sat_conversion,[],[f31068]) ).
cnf(s2496,plain,
( ~ spl0_39
| ~ spl0_318
| spl0_354 ),
inference(sat_conversion,[],[f31081]) ).
cnf(s2499,plain,
( ~ spl0_74
| ~ spl0_120
| ~ spl0_156 ),
inference(sat_conversion,[],[f31146]) ).
cnf(s2500,plain,
( ~ spl0_63
| ~ spl0_318
| ~ spl0_336
| spl0_337 ),
inference(sat_conversion,[],[f31147]) ).
cnf(s2519,plain,
( ~ spl0_13
| ~ spl0_30
| ~ spl0_443 ),
inference(sat_conversion,[],[f31200]) ).
cnf(s2520,plain,
( ~ spl0_41
| ~ spl0_112
| spl0_170
| ~ spl0_441 ),
inference(sat_conversion,[],[f31226]) ).
cnf(s2522,plain,
( ~ spl0_41
| ~ spl0_112
| ~ spl0_442
| spl0_444 ),
inference(sat_conversion,[],[f31229]) ).
cnf(s2524,plain,
( ~ spl0_112
| ~ spl0_444 ),
inference(sat_conversion,[],[f31236]) ).
cnf(s2525,plain,
( spl0_11
| ~ spl0_444 ),
inference(sat_conversion,[],[f31240]) ).
cnf(s2526,plain,
( ~ spl0_8
| spl0_118
| spl0_204
| ~ spl0_413 ),
inference(sat_conversion,[],[f31242]) ).
cnf(s2528,plain,
( ~ spl0_8
| spl0_25
| spl0_120
| ~ spl0_227 ),
inference(sat_conversion,[],[f31245]) ).
cnf(s2532,plain,
( ~ spl0_13
| ~ spl0_90
| spl0_137
| spl0_138 ),
inference(sat_conversion,[],[f31306]) ).
cnf(s2534,plain,
( ~ spl0_41
| ~ spl0_354
| spl0_385
| ~ spl0_413 ),
inference(sat_conversion,[],[f31346]) ).
cnf(s2540,plain,
( ~ spl0_1
| ~ spl0_237
| ~ spl0_311
| ~ spl0_333 ),
inference(sat_conversion,[],[f31426]) ).
cnf(s2544,plain,
( ~ spl0_45
| ~ spl0_189
| ~ spl0_318 ),
inference(sat_conversion,[],[f31501]) ).
cnf(s2547,plain,
( spl0_60
| ~ spl0_115
| spl0_119 ),
inference(sat_conversion,[],[f31516]) ).
cnf(s2551,plain,
( ~ spl0_9
| ~ spl0_70
| ~ spl0_120 ),
inference(sat_conversion,[],[f31523]) ).
cnf(s2554,plain,
( ~ spl0_101
| ~ spl0_183
| ~ spl0_316 ),
inference(sat_conversion,[],[f31557]) ).
cnf(s2562,plain,
( ~ spl0_8
| spl0_11
| ~ spl0_170 ),
inference(sat_conversion,[],[f31633]) ).
cnf(s2565,plain,
( ~ spl0_13
| ~ spl0_185
| ~ spl0_186 ),
inference(sat_conversion,[],[f31731]) ).
cnf(s2566,plain,
( ~ spl0_315
| ~ spl0_342
| ~ spl0_388 ),
inference(sat_conversion,[],[f31754]) ).
cnf(s2567,plain,
( ~ spl0_45
| ~ spl0_329
| ~ spl0_333 ),
inference(sat_conversion,[],[f31776]) ).
cnf(s2568,plain,
( ~ spl0_8
| spl0_336
| ~ spl0_397 ),
inference(sat_conversion,[],[f31790]) ).
cnf(s2573,plain,
( ~ spl0_185
| ~ spl0_293
| ~ spl0_328 ),
inference(sat_conversion,[],[f31850]) ).
cnf(s2575,plain,
( ~ spl0_57
| ~ spl0_90
| ~ spl0_185
| ~ spl0_289 ),
inference(sat_conversion,[],[f31894]) ).
cnf(s2576,plain,
( ~ spl0_57
| ~ spl0_185
| ~ spl0_293
| ~ spl0_307 ),
inference(sat_conversion,[],[f31896]) ).
cnf(s2577,plain,
( ~ spl0_291
| ~ spl0_311
| ~ spl0_337 ),
inference(sat_conversion,[],[f31897]) ).
cnf(s2584,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_68
| ~ spl0_354 ),
inference(sat_conversion,[],[f31968]) ).
cnf(s2586,plain,
( ~ spl0_41
| ~ spl0_112
| ~ spl0_427 ),
inference(sat_conversion,[],[f32007]) ).
cnf(s2591,plain,
( ~ spl0_27
| ~ spl0_304
| ~ spl0_308 ),
inference(sat_conversion,[],[f32034]) ).
cnf(s2596,plain,
( ~ spl0_120
| ~ spl0_187
| spl0_295 ),
inference(sat_conversion,[],[f32092]) ).
cnf(s2598,plain,
( ~ spl0_289
| spl0_295
| spl0_296 ),
inference(sat_conversion,[],[f32094]) ).
cnf(s2599,plain,
( ~ spl0_110
| ~ spl0_289
| ~ spl0_336 ),
inference(sat_conversion,[],[f32095]) ).
cnf(s2605,plain,
( ~ spl0_98
| ~ spl0_308
| ~ spl0_342 ),
inference(sat_conversion,[],[f32227]) ).
cnf(s2606,plain,
( ~ spl0_102
| spl0_142
| spl0_336 ),
inference(sat_conversion,[],[f32229]) ).
cnf(s2613,plain,
( ~ spl0_7
| ~ spl0_68
| ~ spl0_290
| ~ spl0_388 ),
inference(sat_conversion,[],[f32289]) ).
cnf(s2624,plain,
( ~ spl0_11
| ~ spl0_335
| ~ spl0_336 ),
inference(sat_conversion,[],[f32387]) ).
cnf(s2650,plain,
( ~ spl0_18
| ~ spl0_367
| spl0_433 ),
inference(sat_conversion,[],[f32644]) ).
cnf(s2660,plain,
( ~ spl0_8
| spl0_26
| spl0_118
| ~ spl0_383 ),
inference(sat_conversion,[],[f32891]) ).
cnf(s2665,plain,
( spl0_307
| spl0_322
| spl0_405 ),
inference(sat_conversion,[],[f32895]) ).
cnf(s2677,plain,
( ~ spl0_90
| ~ spl0_307
| ~ spl0_422 ),
inference(sat_conversion,[],[f33033]) ).
cnf(s2678,plain,
( ~ spl0_70
| ~ spl0_311
| ~ spl0_422 ),
inference(sat_conversion,[],[f33035]) ).
cnf(s2681,plain,
( ~ spl0_29
| ~ spl0_80
| spl0_83
| ~ spl0_90 ),
inference(sat_conversion,[],[f33053]) ).
cnf(s2686,plain,
( ~ spl0_60
| ~ spl0_342
| ~ spl0_433 ),
inference(sat_conversion,[],[f33087]) ).
cnf(s2690,plain,
( ~ spl0_8
| ~ spl0_68
| spl0_170
| ~ spl0_382 ),
inference(sat_conversion,[],[f33164]) ).
cnf(s2691,plain,
( ~ spl0_8
| spl0_118
| spl0_170
| ~ spl0_382 ),
inference(sat_conversion,[],[f33166]) ).
cnf(s2699,plain,
( spl0_129
| ~ spl0_156
| ~ spl0_299
| spl0_354 ),
inference(sat_conversion,[],[f33294]) ).
cnf(s2700,plain,
( spl0_227
| ~ spl0_342
| ~ spl0_403 ),
inference(sat_conversion,[],[f33343]) ).
cnf(s2705,plain,
( ~ spl0_295
| spl0_333
| ~ spl0_342
| ~ spl0_429 ),
inference(sat_conversion,[],[f33401]) ).
cnf(s2706,plain,
( spl0_124
| spl0_333
| ~ spl0_440 ),
inference(sat_conversion,[],[f33449]) ).
cnf(s2707,plain,
( ~ spl0_342
| spl0_427
| ~ spl0_440 ),
inference(sat_conversion,[],[f33450]) ).
cnf(s2711,plain,
( spl0_29
| ~ spl0_90
| ~ spl0_243 ),
inference(sat_conversion,[],[f33483]) ).
cnf(s2712,plain,
( spl0_33
| ~ spl0_70
| ~ spl0_243 ),
inference(sat_conversion,[],[f33484]) ).
cnf(s2713,plain,
( ~ spl0_80
| spl0_222
| ~ spl0_243 ),
inference(sat_conversion,[],[f33485]) ).
cnf(s2715,plain,
( ~ spl0_293
| ~ spl0_320
| spl0_376 ),
inference(sat_conversion,[],[f33503]) ).
cnf(s2716,plain,
( spl0_237
| ~ spl0_311
| ~ spl0_320 ),
inference(sat_conversion,[],[f33504]) ).
cnf(s2717,plain,
( ~ spl0_86
| spl0_237
| ~ spl0_320 ),
inference(sat_conversion,[],[f33505]) ).
cnf(s2718,plain,
( spl0_47
| ~ spl0_307
| ~ spl0_320 ),
inference(sat_conversion,[],[f33506]) ).
cnf(s2721,plain,
( ~ spl0_156
| ~ spl0_297
| spl0_354
| spl0_359 ),
inference(sat_conversion,[],[f33560]) ).
cnf(s2729,plain,
( spl0_150
| spl0_185
| ~ spl0_438 ),
inference(sat_conversion,[],[f33696]) ).
cnf(s2731,plain,
( spl0_74
| spl0_367
| ~ spl0_389
| ~ spl0_414 ),
inference(sat_conversion,[],[f33753]) ).
cnf(s2732,plain,
( spl0_354
| spl0_414 ),
inference(sat_conversion,[],[f33760]) ).
cnf(s2736,plain,
( ~ spl0_17
| spl0_142
| ~ spl0_309
| ~ spl0_342
| ~ spl0_388 ),
inference(sat_conversion,[],[f33861]) ).
cnf(s2737,plain,
( spl0_25
| ~ spl0_60
| spl0_118
| ~ spl0_309
| ~ spl0_342 ),
inference(sat_conversion,[],[f33863]) ).
cnf(s2740,plain,
( spl0_25
| spl0_305
| ~ spl0_392
| spl0_397 ),
inference(sat_conversion,[],[f33879]) ).
cnf(s2741,plain,
( spl0_331
| ~ spl0_336
| spl0_354 ),
inference(sat_conversion,[],[f33914]) ).
cnf(s2743,plain,
( ~ spl0_289
| spl0_299
| ~ spl0_336 ),
inference(sat_conversion,[],[f33916]) ).
cnf(s2745,plain,
( ~ spl0_3
| spl0_320
| ~ spl0_393
| spl0_423 ),
inference(sat_conversion,[],[f33919]) ).
cnf(s2747,plain,
( ~ spl0_3
| spl0_27
| spl0_142
| ~ spl0_445 ),
inference(sat_conversion,[],[f33923]) ).
cnf(s2748,plain,
( ~ spl0_3
| spl0_136
| spl0_142
| ~ spl0_386 ),
inference(sat_conversion,[],[f33924]) ).
cnf(s2750,plain,
( ~ spl0_17
| ~ spl0_143
| ~ spl0_423 ),
inference(sat_conversion,[],[f33981]) ).
cnf(s2751,plain,
( ~ spl0_295
| ~ spl0_388
| ~ spl0_423 ),
inference(sat_conversion,[],[f33982]) ).
cnf(s2752,plain,
( ~ spl0_17
| spl0_185
| ~ spl0_423 ),
inference(sat_conversion,[],[f33983]) ).
cnf(s2754,plain,
( spl0_245
| spl0_367
| ~ spl0_371
| ~ spl0_414 ),
inference(sat_conversion,[],[f34074]) ).
cnf(s2760,plain,
( ~ spl0_324
| spl0_354
| spl0_359
| spl0_448 ),
inference(sat_conversion,[],[f34186]) ).
cnf(s2763,plain,
( spl0_245
| ~ spl0_289
| ~ spl0_324
| spl0_450 ),
inference(sat_conversion,[],[f34195]) ).
cnf(s2764,plain,
( ~ spl0_156
| ~ spl0_289
| ~ spl0_448 ),
inference(sat_conversion,[],[f34209]) ).
cnf(s2766,plain,
( ~ spl0_90
| spl0_354
| ~ spl0_450 ),
inference(sat_conversion,[],[f34225]) ).
cnf(s2768,plain,
( spl0_142
| ~ spl0_295
| ~ spl0_388
| spl0_451 ),
inference(sat_conversion,[],[f34270]) ).
cnf(s2769,plain,
( ~ spl0_60
| ~ spl0_68
| spl0_190
| ~ spl0_295 ),
inference(sat_conversion,[],[f34272]) ).
cnf(s2770,plain,
( ~ spl0_60
| spl0_118
| spl0_190
| ~ spl0_295 ),
inference(sat_conversion,[],[f34273]) ).
cnf(s2772,plain,
( ~ spl0_291
| ~ spl0_333
| spl0_389 ),
inference(sat_conversion,[],[f34331]) ).
cnf(s2775,plain,
( ~ spl0_291
| ~ spl0_330
| spl0_335
| spl0_453 ),
inference(sat_conversion,[],[f34385]) ).
cnf(s2778,plain,
( ~ spl0_57
| ~ spl0_90
| ~ spl0_307
| ~ spl0_420 ),
inference(sat_conversion,[],[f34427]) ).
cnf(s2783,plain,
( ~ spl0_143
| ~ spl0_292
| ~ spl0_396
| spl0_418 ),
inference(sat_conversion,[],[f34469]) ).
cnf(s2787,plain,
( ~ spl0_8
| ~ spl0_60
| spl0_118
| ~ spl0_319
| ~ spl0_342 ),
inference(sat_conversion,[],[f34563]) ).
cnf(s2788,plain,
( spl0_137
| ~ spl0_188
| ~ spl0_289
| spl0_450 ),
inference(sat_conversion,[],[f34564]) ).
cnf(s2795,plain,
( ~ spl0_289
| ~ spl0_291
| ~ spl0_293
| spl0_450 ),
inference(sat_conversion,[],[f34706]) ).
cnf(s2797,plain,
( ~ spl0_45
| ~ spl0_80
| ~ spl0_90
| ~ spl0_289
| ~ spl0_331 ),
inference(sat_conversion,[],[f34708]) ).
cnf(s2798,plain,
( spl0_74
| ~ spl0_188
| spl0_354
| spl0_448 ),
inference(sat_conversion,[],[f34709]) ).
cnf(s2799,plain,
( ~ spl0_68
| spl0_336
| spl0_455 ),
inference(sat_conversion,[],[f34713]) ).
cnf(s2800,plain,
( spl0_74
| ~ spl0_188
| ~ spl0_414
| spl0_448 ),
inference(sat_conversion,[],[f34714]) ).
cnf(s2804,plain,
( ~ spl0_23
| spl0_304
| ~ spl0_320 ),
inference(sat_conversion,[],[f34768]) ).
cnf(s2806,plain,
( ~ spl0_70
| ~ spl0_144
| ~ spl0_156 ),
inference(sat_conversion,[],[f34788]) ).
cnf(s2824,plain,
( ~ spl0_143
| ~ spl0_294
| ~ spl0_322
| spl0_412 ),
inference(sat_conversion,[],[f35085]) ).
cnf(s2832,plain,
( ~ spl0_294
| ~ spl0_295
| ~ spl0_342
| spl0_420 ),
inference(sat_conversion,[],[f35367]) ).
cnf(s2836,plain,
( spl0_63
| ~ spl0_142
| ~ spl0_318 ),
inference(sat_conversion,[],[f35432]) ).
cnf(s2837,plain,
( spl0_11
| ~ spl0_18
| spl0_27 ),
inference(sat_conversion,[],[f35433]) ).
cnf(s2843,plain,
( spl0_153
| spl0_307
| ~ spl0_412 ),
inference(sat_conversion,[],[f35439]) ).
cnf(s2846,plain,
( ~ spl0_183
| ~ spl0_292
| ~ spl0_368
| spl0_398 ),
inference(sat_conversion,[],[f35443]) ).
cnf(s2848,plain,
( ~ spl0_183
| ~ spl0_295
| spl0_398
| ~ spl0_436 ),
inference(sat_conversion,[],[f35445]) ).
cnf(s2854,plain,
( ~ spl0_27
| ~ spl0_60
| ~ spl0_388 ),
inference(sat_conversion,[],[f35471]) ).
cnf(s2855,plain,
( spl0_74
| ~ spl0_80
| spl0_112
| spl0_128 ),
inference(sat_conversion,[],[f35472]) ).
cnf(s2856,plain,
( ~ spl0_70
| spl0_112
| spl0_128
| spl0_129 ),
inference(sat_conversion,[],[f35473]) ).
cnf(s2857,plain,
( ~ spl0_90
| spl0_112
| spl0_128
| spl0_359 ),
inference(sat_conversion,[],[f35474]) ).
cnf(s2871,plain,
( ~ spl0_8
| spl0_311
| ~ spl0_433 ),
inference(sat_conversion,[],[f35672]) ).
cnf(s2874,plain,
( spl0_25
| spl0_118
| spl0_204
| ~ spl0_410 ),
inference(sat_conversion,[],[f35681]) ).
cnf(s2876,plain,
( spl0_101
| ~ spl0_310
| spl0_318 ),
inference(sat_conversion,[],[f35683]) ).
cnf(s2877,plain,
( ~ spl0_293
| spl0_342
| ~ spl0_375
| ~ spl0_430 ),
inference(sat_conversion,[],[f35684]) ).
cnf(s2882,plain,
( spl0_27
| spl0_70
| ~ spl0_190 ),
inference(sat_conversion,[],[f35689]) ).
cnf(s2883,plain,
( spl0_70
| spl0_96
| ~ spl0_139 ),
inference(sat_conversion,[],[f35690]) ).
cnf(s2900,plain,
( ~ spl0_190
| ~ spl0_290
| spl0_397 ),
inference(sat_conversion,[],[f35886]) ).
cnf(s2905,plain,
( ~ spl0_305
| ~ spl0_366
| spl0_374 ),
inference(sat_conversion,[],[f35892]) ).
cnf(s2907,plain,
( ~ spl0_109
| ~ spl0_308
| ~ spl0_322 ),
inference(sat_conversion,[],[f35927]) ).
cnf(s2908,plain,
( ~ spl0_7
| spl0_25
| ~ spl0_308
| ~ spl0_322 ),
inference(sat_conversion,[],[f35930]) ).
cnf(s2911,plain,
( spl0_305
| ~ spl0_322
| spl0_368 ),
inference(sat_conversion,[],[f35933]) ).
cnf(s2923,plain,
( ~ spl0_8
| spl0_70
| ~ spl0_204 ),
inference(sat_conversion,[],[f36023]) ).
cnf(s2925,plain,
( spl0_80
| ~ spl0_139
| spl0_150 ),
inference(sat_conversion,[],[f36025]) ).
cnf(s2927,plain,
( spl0_26
| spl0_80
| ~ spl0_190 ),
inference(sat_conversion,[],[f36027]) ).
cnf(s2933,plain,
( ~ spl0_68
| spl0_185
| spl0_386 ),
inference(sat_conversion,[],[f36033]) ).
cnf(s2936,plain,
( spl0_13
| spl0_24
| spl0_89 ),
inference(sat_conversion,[],[f36037]) ).
cnf(s2939,plain,
( spl0_13
| spl0_216 ),
inference(sat_conversion,[],[f36055]) ).
cnf(s2940,plain,
( spl0_13
| ~ spl0_42
| spl0_101 ),
inference(sat_conversion,[],[f36056]) ).
cnf(s2954,plain,
( ~ spl0_156
| spl0_295
| ~ spl0_335 ),
inference(sat_conversion,[],[f36244]) ).
cnf(s2955,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_318
| ~ spl0_336 ),
inference(sat_conversion,[],[f36348]) ).
cnf(s2959,plain,
( spl0_13
| ~ spl0_112
| spl0_136
| ~ spl0_401 ),
inference(sat_conversion,[],[f36501]) ).
cnf(s2967,plain,
( spl0_1
| spl0_45
| ~ spl0_102 ),
inference(sat_conversion,[],[f36513]) ).
cnf(s2971,plain,
( spl0_102
| spl0_311
| ~ spl0_380 ),
inference(sat_conversion,[],[f36519]) ).
cnf(s2972,plain,
( spl0_11
| ~ spl0_42
| spl0_102 ),
inference(sat_conversion,[],[f36520]) ).
cnf(s2973,plain,
( ~ spl0_3
| ~ spl0_17
| spl0_142
| ~ spl0_390 ),
inference(sat_conversion,[],[f36521]) ).
cnf(s2976,plain,
( ~ spl0_11
| spl0_112
| spl0_144
| ~ spl0_240 ),
inference(sat_conversion,[],[f36525]) ).
cnf(s2977,plain,
( ~ spl0_111
| ~ spl0_141
| ~ spl0_290
| ~ spl0_390 ),
inference(sat_conversion,[],[f36526]) ).
cnf(s2978,plain,
( spl0_13
| ~ spl0_17
| ~ spl0_101 ),
inference(sat_conversion,[],[f36528]) ).
cnf(s2984,plain,
( ~ spl0_3
| ~ spl0_17
| spl0_84
| ~ spl0_199 ),
inference(sat_conversion,[],[f36534]) ).
cnf(s2987,plain,
( ~ spl0_22
| ~ spl0_30 ),
inference(sat_conversion,[],[f36539]) ).
cnf(s2989,plain,
( spl0_19
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f36555]) ).
cnf(s2999,plain,
( ~ spl0_23
| ~ spl0_25
| ~ spl0_30 ),
inference(sat_conversion,[],[f36614]) ).
cnf(s3003,plain,
( ~ spl0_109
| ~ spl0_111
| ~ spl0_388 ),
inference(sat_conversion,[],[f36674]) ).
cnf(s3013,plain,
( ~ spl0_143
| ~ spl0_152
| ~ spl0_183
| spl0_423 ),
inference(sat_conversion,[],[f36770]) ).
cnf(s3026,plain,
( ~ spl0_11
| spl0_144
| ~ spl0_156
| ~ spl0_240 ),
inference(sat_conversion,[],[f36851]) ).
cnf(s3032,plain,
( ~ spl0_30
| ~ spl0_45
| ~ spl0_94 ),
inference(sat_conversion,[],[f36954]) ).
cnf(s3033,plain,
( spl0_117
| ~ spl0_159
| spl0_311 ),
inference(sat_conversion,[],[f36977]) ).
cnf(s3036,plain,
( ~ spl0_8
| spl0_13
| ~ spl0_426 ),
inference(sat_conversion,[],[f36996]) ).
cnf(s3048,plain,
( ~ spl0_95
| ~ spl0_107
| ~ spl0_111 ),
inference(sat_conversion,[],[f37065]) ).
cnf(s3050,plain,
( spl0_13
| spl0_25
| ~ spl0_54 ),
inference(sat_conversion,[],[f37075]) ).
cnf(s3056,plain,
( ~ spl0_1
| ~ spl0_25
| ~ spl0_205 ),
inference(sat_conversion,[],[f37088]) ).
cnf(s3057,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_25
| ~ spl0_47 ),
inference(sat_conversion,[],[f37090]) ).
cnf(s3058,plain,
( spl0_13
| ~ spl0_143
| ~ spl0_183
| spl0_381 ),
inference(sat_conversion,[],[f37091]) ).
cnf(s3070,plain,
( ~ spl0_80
| ~ spl0_90
| ~ spl0_94 ),
inference(sat_conversion,[],[f37234]) ).
cnf(s3072,plain,
( ~ spl0_205
| ~ spl0_307
| ~ spl0_311 ),
inference(sat_conversion,[],[f37308]) ).
cnf(s3076,plain,
( ~ spl0_1
| ~ spl0_318
| ~ spl0_337 ),
inference(sat_conversion,[],[f37312]) ).
cnf(s3077,plain,
( ~ spl0_30
| spl0_112
| ~ spl0_132 ),
inference(sat_conversion,[],[f37313]) ).
cnf(s3078,plain,
( ~ spl0_36
| spl0_305 ),
inference(sat_conversion,[],[f37315]) ).
cnf(s3081,plain,
( ~ spl0_49
| spl0_80
| ~ spl0_107 ),
inference(sat_conversion,[],[f37338]) ).
cnf(s3082,plain,
( ~ spl0_9
| ~ spl0_11
| ~ spl0_25 ),
inference(sat_conversion,[],[f37350]) ).
cnf(s3083,plain,
( ~ spl0_9
| ~ spl0_118
| ~ spl0_336 ),
inference(sat_conversion,[],[f37352]) ).
cnf(s3084,plain,
( ~ spl0_26
| spl0_458 ),
inference(sat_conversion,[],[f37359]) ).
cnf(s3085,plain,
( spl0_25
| ~ spl0_458 ),
inference(sat_conversion,[],[f37367]) ).
cnf(s3090,plain,
( ~ spl0_3
| spl0_13
| ~ spl0_136 ),
inference(sat_conversion,[],[f37450]) ).
cnf(s3103,plain,
( spl0_13
| ~ spl0_322
| spl0_333
| spl0_416 ),
inference(sat_conversion,[],[f37551]) ).
cnf(s3107,plain,
( ~ spl0_107
| ~ spl0_290
| ~ spl0_425 ),
inference(sat_conversion,[],[f37605]) ).
cnf(s3113,plain,
( ~ spl0_294
| spl0_318
| spl0_333
| spl0_416 ),
inference(sat_conversion,[],[f37691]) ).
cnf(s3115,plain,
( ~ spl0_25
| ~ spl0_57
| ~ spl0_118
| ~ spl0_185 ),
inference(sat_conversion,[],[f37799]) ).
cnf(s3117,plain,
( spl0_13
| spl0_59
| spl0_318
| ~ spl0_354 ),
inference(sat_conversion,[],[f37823]) ).
cnf(s3118,plain,
( spl0_80
| ~ spl0_96
| ~ spl0_107
| ~ spl0_111 ),
inference(sat_conversion,[],[f37861]) ).
cnf(s3126,plain,
( spl0_13
| spl0_80
| ~ spl0_385 ),
inference(sat_conversion,[],[f37927]) ).
cnf(s3129,plain,
( ~ spl0_245
| ~ spl0_289
| ~ spl0_414 ),
inference(sat_conversion,[],[f37957]) ).
cnf(s3132,plain,
( ~ spl0_294
| spl0_318
| spl0_333
| spl0_416 ),
inference(sat_conversion,[],[f37961]) ).
cnf(s3135,plain,
( spl0_97
| ~ spl0_318
| spl0_354 ),
inference(sat_conversion,[],[f37975]) ).
cnf(s3151,plain,
( ~ spl0_111
| spl0_153
| ~ spl0_175 ),
inference(sat_conversion,[],[f38168]) ).
cnf(s3152,plain,
( spl0_80
| spl0_154
| ~ spl0_175 ),
inference(sat_conversion,[],[f38169]) ).
cnf(s3154,plain,
( spl0_90
| spl0_153
| ~ spl0_175 ),
inference(sat_conversion,[],[f38171]) ).
cnf(s3159,plain,
( spl0_13
| spl0_49
| ~ spl0_149 ),
inference(sat_conversion,[],[f38293]) ).
cnf(s3163,plain,
( ~ spl0_69
| ~ spl0_311
| spl0_342 ),
inference(sat_conversion,[],[f38324]) ).
cnf(s3164,plain,
( ~ spl0_69
| spl0_295
| ~ spl0_336 ),
inference(sat_conversion,[],[f38325]) ).
cnf(s3165,plain,
( spl0_23
| ~ spl0_25
| ~ spl0_118
| ~ spl0_331 ),
inference(sat_conversion,[],[f38397]) ).
cnf(s3166,plain,
( spl0_23
| ~ spl0_118
| ~ spl0_120
| ~ spl0_299 ),
inference(sat_conversion,[],[f38448]) ).
cnf(s3167,plain,
( spl0_95
| spl0_307
| ~ spl0_403 ),
inference(sat_conversion,[],[f38507]) ).
cnf(s3172,plain,
( ~ spl0_4
| ~ spl0_294
| spl0_305
| ~ spl0_316 ),
inference(sat_conversion,[],[f38512]) ).
cnf(s3173,plain,
( ~ spl0_59
| ~ spl0_294
| ~ spl0_304
| ~ spl0_354 ),
inference(sat_conversion,[],[f38513]) ).
cnf(s3174,plain,
( ~ spl0_186
| ~ spl0_291
| ~ spl0_333 ),
inference(sat_conversion,[],[f38514]) ).
cnf(s3175,plain,
( spl0_96
| spl0_333
| ~ spl0_403 ),
inference(sat_conversion,[],[f38515]) ).
cnf(s3182,plain,
( ~ spl0_52
| ~ spl0_304
| spl0_307 ),
inference(sat_conversion,[],[f38579]) ).
cnf(s3188,plain,
( ~ spl0_292
| ~ spl0_308
| ~ spl0_423 ),
inference(sat_conversion,[],[f38679]) ).
cnf(s3191,plain,
( ~ spl0_305
| ~ spl0_318
| ~ spl0_453 ),
inference(sat_conversion,[],[f38707]) ).
cnf(s3196,plain,
( ~ spl0_222
| ~ spl0_333
| spl0_339 ),
inference(sat_conversion,[],[f38815]) ).
cnf(s3205,plain,
( ~ spl0_25
| spl0_114
| ~ spl0_305
| ~ spl0_373 ),
inference(sat_conversion,[],[f39049]) ).
cnf(s3208,plain,
( ~ spl0_291
| spl0_302
| ~ spl0_318
| spl0_345
| ~ spl0_356 ),
inference(sat_conversion,[],[f39095]) ).
cnf(s3210,plain,
( ~ spl0_40
| ~ spl0_107
| ~ spl0_111
| spl0_204 ),
inference(sat_conversion,[],[f39097]) ).
cnf(s3213,plain,
( ~ spl0_4
| ~ spl0_68
| spl0_423 ),
inference(sat_conversion,[],[f39132]) ).
cnf(s3215,plain,
( ~ spl0_11
| ~ spl0_185
| spl0_189
| spl0_323 ),
inference(sat_conversion,[],[f39134]) ).
cnf(s3216,plain,
( spl0_13
| spl0_80
| spl0_106
| ~ spl0_111 ),
inference(sat_conversion,[],[f39135]) ).
cnf(s3217,plain,
( ~ spl0_3
| spl0_4
| spl0_80
| spl0_84 ),
inference(sat_conversion,[],[f39136]) ).
cnf(s3219,plain,
( ~ spl0_8
| spl0_26
| spl0_120
| ~ spl0_441 ),
inference(sat_conversion,[],[f39138]) ).
cnf(s3221,plain,
( ~ spl0_8
| spl0_204
| spl0_305
| ~ spl0_363 ),
inference(sat_conversion,[],[f39142]) ).
cnf(s3222,plain,
( ~ spl0_111
| spl0_120
| spl0_436 ),
inference(sat_conversion,[],[f39144]) ).
cnf(s3227,plain,
( spl0_80
| spl0_106
| ~ spl0_111
| ~ spl0_216 ),
inference(sat_conversion,[],[f39148]) ).
cnf(s3235,plain,
( ~ spl0_320
| spl0_342
| spl0_343 ),
inference(sat_conversion,[],[f39227]) ).
cnf(s3236,plain,
( ~ spl0_132
| ~ spl0_320
| spl0_342 ),
inference(sat_conversion,[],[f39228]) ).
cnf(s3249,plain,
( ~ spl0_291
| spl0_354
| spl0_373 ),
inference(sat_conversion,[],[f39411]) ).
cnf(s3255,plain,
( ~ spl0_291
| spl0_302
| ~ spl0_336
| ~ spl0_343
| spl0_345 ),
inference(sat_conversion,[],[f39658]) ).
cnf(s3261,plain,
( spl0_240
| ~ spl0_320
| spl0_342 ),
inference(sat_conversion,[],[f39839]) ).
cnf(s3262,plain,
( spl0_63
| ~ spl0_320
| ~ spl0_333 ),
inference(sat_conversion,[],[f39840]) ).
cnf(s3263,plain,
( spl0_49
| spl0_318
| ~ spl0_437 ),
inference(sat_conversion,[],[f39841]) ).
cnf(s3265,plain,
( ~ spl0_3
| spl0_136
| spl0_320
| ~ spl0_368 ),
inference(sat_conversion,[],[f39844]) ).
cnf(s3266,plain,
( spl0_25
| spl0_45
| spl0_149 ),
inference(sat_conversion,[],[f39845]) ).
cnf(s3268,plain,
( ~ spl0_3
| spl0_84
| spl0_136
| ~ spl0_436 ),
inference(sat_conversion,[],[f39850]) ).
cnf(s3276,plain,
( ~ spl0_13
| ~ spl0_118
| ~ spl0_448 ),
inference(sat_conversion,[],[f39892]) ).
cnf(s3283,plain,
( ~ spl0_143
| spl0_227
| ~ spl0_360 ),
inference(sat_conversion,[],[f39982]) ).
cnf(s3290,plain,
( spl0_25
| spl0_90
| ~ spl0_204 ),
inference(sat_conversion,[],[f40071]) ).
cnf(s3292,plain,
( ~ spl0_19
| spl0_90
| ~ spl0_204 ),
inference(sat_conversion,[],[f40073]) ).
cnf(s3296,plain,
( ~ spl0_11
| spl0_23
| ~ spl0_25
| spl0_114 ),
inference(sat_conversion,[],[f40085]) ).
cnf(s3297,plain,
( ~ spl0_25
| ~ spl0_57
| spl0_94 ),
inference(sat_conversion,[],[f40086]) ).
cnf(s3312,plain,
( ~ spl0_25
| ~ spl0_118
| spl0_137
| ~ spl0_428 ),
inference(sat_conversion,[],[f40462]) ).
cnf(s3316,plain,
( ~ spl0_309
| spl0_333
| spl0_390 ),
inference(sat_conversion,[],[f40593]) ).
cnf(s3318,plain,
( ~ spl0_118
| spl0_192
| ~ spl0_336 ),
inference(sat_conversion,[],[f40618]) ).
cnf(s3322,plain,
( ~ spl0_305
| ~ spl0_311
| spl0_357 ),
inference(sat_conversion,[],[f40701]) ).
cnf(s3323,plain,
( ~ spl0_183
| ~ spl0_290
| ~ spl0_294
| ~ spl0_342
| spl0_433 ),
inference(sat_conversion,[],[f40760]) ).
cnf(s3324,plain,
( spl0_27
| spl0_142
| ~ spl0_183
| ~ spl0_290
| ~ spl0_388 ),
inference(sat_conversion,[],[f40762]) ).
cnf(s3327,plain,
( ~ spl0_14
| ~ spl0_183
| spl0_185
| spl0_381 ),
inference(sat_conversion,[],[f40812]) ).
cnf(s3328,plain,
( ~ spl0_11
| ~ spl0_291
| ~ spl0_311
| ~ spl0_414
| spl0_448 ),
inference(sat_conversion,[],[f40839]) ).
cnf(s3331,plain,
( ~ spl0_294
| ~ spl0_364
| ~ spl0_383
| spl0_433 ),
inference(sat_conversion,[],[f40843]) ).
cnf(s3332,plain,
( ~ spl0_156
| ~ spl0_291
| spl0_342
| ~ spl0_414
| spl0_448 ),
inference(sat_conversion,[],[f40891]) ).
cnf(s3334,plain,
( ~ spl0_3
| spl0_11
| ~ spl0_154 ),
inference(sat_conversion,[],[f40894]) ).
cnf(s3335,plain,
( ~ spl0_291
| spl0_342
| spl0_462 ),
inference(sat_conversion,[],[f40898]) ).
cnf(s3336,plain,
( ~ spl0_30
| ~ spl0_323
| ~ spl0_336 ),
inference(sat_conversion,[],[f40899]) ).
cnf(s3339,plain,
( ~ spl0_30
| spl0_354
| ~ spl0_456 ),
inference(sat_conversion,[],[f40902]) ).
cnf(s3342,plain,
( spl0_11
| ~ spl0_17
| ~ spl0_153 ),
inference(sat_conversion,[],[f40907]) ).
cnf(s3343,plain,
( spl0_16
| ~ spl0_17
| spl0_84
| ~ spl0_111 ),
inference(sat_conversion,[],[f40908]) ).
cnf(s3344,plain,
( spl0_124
| spl0_318
| ~ spl0_360 ),
inference(sat_conversion,[],[f40909]) ).
cnf(s3346,plain,
( ~ spl0_3
| spl0_4
| spl0_320
| spl0_333 ),
inference(sat_conversion,[],[f40911]) ).
cnf(s3347,plain,
( spl0_16
| ~ spl0_17
| spl0_320
| ~ spl0_322 ),
inference(sat_conversion,[],[f40912]) ).
cnf(s3351,plain,
( ~ spl0_13
| spl0_129
| ~ spl0_192
| spl0_354 ),
inference(sat_conversion,[],[f40919]) ).
cnf(s3362,plain,
( spl0_112
| ~ spl0_289
| spl0_377 ),
inference(sat_conversion,[],[f41075]) ).
cnf(s3371,plain,
( ~ spl0_342
| ~ spl0_364
| spl0_433
| ~ spl0_441 ),
inference(sat_conversion,[],[f41203]) ).
cnf(s3372,plain,
( ~ spl0_342
| ~ spl0_364
| ~ spl0_442
| spl0_447 ),
inference(sat_conversion,[],[f41204]) ).
cnf(s3373,plain,
( ~ spl0_227
| ~ spl0_322
| ~ spl0_342
| ~ spl0_364 ),
inference(sat_conversion,[],[f41206]) ).
cnf(s3379,plain,
( ~ spl0_293
| ~ spl0_307
| spl0_329
| ~ spl0_331 ),
inference(sat_conversion,[],[f41291]) ).
cnf(s3382,plain,
( spl0_119
| ~ spl0_293
| spl0_345
| ~ spl0_450 ),
inference(sat_conversion,[],[f41302]) ).
cnf(s3384,plain,
( ~ spl0_19
| spl0_307
| ~ spl0_433 ),
inference(sat_conversion,[],[f41334]) ).
cnf(s3390,plain,
( spl0_90
| spl0_136
| ~ spl0_451 ),
inference(sat_conversion,[],[f41363]) ).
cnf(s3394,plain,
( ~ spl0_54
| spl0_118
| ~ spl0_183 ),
inference(sat_conversion,[],[f41639]) ).
cnf(s3404,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_120
| ~ spl0_156
| ~ spl0_289
| ~ spl0_336 ),
inference(sat_conversion,[],[f41705]) ).
cnf(s3405,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_120
| ~ spl0_289
| ~ spl0_336
| ~ spl0_342
| ~ spl0_447 ),
inference(sat_conversion,[],[f41707]) ).
cnf(s3408,plain,
( ~ spl0_290
| spl0_423
| ~ spl0_451 ),
inference(sat_conversion,[],[f41757]) ).
cnf(s3410,plain,
( ~ spl0_111
| ~ spl0_143
| spl0_175
| ~ spl0_290 ),
inference(sat_conversion,[],[f41763]) ).
cnf(s3413,plain,
( spl0_70
| spl0_151
| ~ spl0_451 ),
inference(sat_conversion,[],[f41765]) ).
cnf(s3414,plain,
( spl0_1
| ~ spl0_183
| ~ spl0_301
| spl0_310 ),
inference(sat_conversion,[],[f41766]) ).
cnf(s3415,plain,
( ~ spl0_8
| spl0_120
| spl0_170
| ~ spl0_442 ),
inference(sat_conversion,[],[f41767]) ).
cnf(s3416,plain,
( ~ spl0_295
| ~ spl0_301
| spl0_398
| ~ spl0_442 ),
inference(sat_conversion,[],[f41768]) ).
cnf(s3419,plain,
( ~ spl0_25
| spl0_114
| ~ spl0_118
| ~ spl0_377 ),
inference(sat_conversion,[],[f41771]) ).
cnf(s3421,plain,
( spl0_70
| ~ spl0_295
| ~ spl0_301
| spl0_310 ),
inference(sat_conversion,[],[f41773]) ).
cnf(s3422,plain,
( spl0_18
| ~ spl0_19
| ~ spl0_111
| spl0_120 ),
inference(sat_conversion,[],[f41774]) ).
cnf(s3423,plain,
( spl0_27
| spl0_80
| ~ spl0_451 ),
inference(sat_conversion,[],[f41775]) ).
cnf(s3424,plain,
( spl0_80
| ~ spl0_183
| ~ spl0_295
| spl0_381 ),
inference(sat_conversion,[],[f41776]) ).
cnf(s3428,plain,
( spl0_30
| ~ spl0_151 ),
inference(sat_conversion,[],[f41804]) ).
cnf(s3429,plain,
( ~ spl0_11
| spl0_21
| spl0_22
| ~ spl0_151 ),
inference(sat_conversion,[],[f41809]) ).
cnf(s3432,plain,
( ~ spl0_3
| spl0_4
| spl0_142
| ~ spl0_183 ),
inference(sat_conversion,[],[f41812]) ).
cnf(s3435,plain,
( ~ spl0_8
| ~ spl0_60
| spl0_170
| ~ spl0_442 ),
inference(sat_conversion,[],[f41861]) ).
cnf(s3449,plain,
( ~ spl0_74
| ~ spl0_118
| ~ spl0_414 ),
inference(sat_conversion,[],[f41980]) ).
cnf(s3450,plain,
( spl0_18
| spl0_25
| spl0_118
| ~ spl0_143 ),
inference(sat_conversion,[],[f41982]) ).
cnf(s3461,plain,
( spl0_18
| spl0_25
| ~ spl0_68
| spl0_185 ),
inference(sat_conversion,[],[f42054]) ).
cnf(s3478,plain,
( ~ spl0_84
| spl0_132
| ~ spl0_289
| ~ spl0_291
| ~ spl0_320 ),
inference(sat_conversion,[],[f42797]) ).
cnf(s3479,plain,
( spl0_128
| ~ spl0_156
| ~ spl0_289
| ~ spl0_291
| ~ spl0_295
| ~ spl0_306
| ~ spl0_342 ),
inference(sat_conversion,[],[f42798]) ).
cnf(s3480,plain,
( ~ spl0_183
| ~ spl0_295
| ~ spl0_401
| spl0_423 ),
inference(sat_conversion,[],[f42799]) ).
cnf(s3486,plain,
( ~ spl0_293
| ~ spl0_298
| spl0_334
| ~ spl0_372 ),
inference(sat_conversion,[],[f42872]) ).
cnf(s3488,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_84
| ~ spl0_156
| ~ spl0_289
| ~ spl0_318 ),
inference(sat_conversion,[],[f42939]) ).
cnf(s3490,plain,
( spl0_80
| ~ spl0_183
| ~ spl0_295
| spl0_381 ),
inference(sat_conversion,[],[f42943]) ).
cnf(s3494,plain,
( ~ spl0_183
| ~ spl0_292
| spl0_333
| spl0_381 ),
inference(sat_conversion,[],[f42947]) ).
cnf(s3497,plain,
( spl0_1
| spl0_80
| ~ spl0_107
| spl0_108 ),
inference(sat_conversion,[],[f42982]) ).
cnf(s3508,plain,
( ~ spl0_13
| ~ spl0_36
| spl0_39
| ~ spl0_293
| ~ spl0_414 ),
inference(sat_conversion,[],[f43432]) ).
cnf(s3510,plain,
( ~ spl0_13
| ~ spl0_36
| spl0_39
| ~ spl0_293
| ~ spl0_295
| ~ spl0_306 ),
inference(sat_conversion,[],[f43436]) ).
cnf(s3512,plain,
( ~ spl0_36
| spl0_384
| ~ spl0_420 ),
inference(sat_conversion,[],[f43450]) ).
cnf(s3514,plain,
( ~ spl0_3
| spl0_25
| ~ spl0_109 ),
inference(sat_conversion,[],[f43452]) ).
cnf(s3523,plain,
( spl0_80
| ~ spl0_290
| spl0_417
| ~ spl0_455 ),
inference(sat_conversion,[],[f43558]) ).
cnf(s3524,plain,
( spl0_80
| spl0_204
| ~ spl0_290
| ~ spl0_445 ),
inference(sat_conversion,[],[f43559]) ).
cnf(s3525,plain,
( spl0_80
| ~ spl0_290
| spl0_385
| ~ spl0_386 ),
inference(sat_conversion,[],[f43560]) ).
cnf(s3538,plain,
( spl0_120
| ~ spl0_290
| spl0_429 ),
inference(sat_conversion,[],[f43779]) ).
cnf(s3542,plain,
( ~ spl0_3
| ~ spl0_108
| spl0_118
| ~ spl0_290 ),
inference(sat_conversion,[],[f43783]) ).
cnf(s3543,plain,
( ~ spl0_3
| ~ spl0_98
| spl0_120 ),
inference(sat_conversion,[],[f43784]) ).
cnf(s3551,plain,
( ~ spl0_142
| spl0_240
| spl0_295 ),
inference(sat_conversion,[],[f43881]) ).
cnf(s3554,plain,
( spl0_18
| ~ spl0_19
| spl0_305
| ~ spl0_322 ),
inference(sat_conversion,[],[f43885]) ).
cnf(s3555,plain,
( ~ spl0_131
| ~ spl0_304
| ~ spl0_342 ),
inference(sat_conversion,[],[f43886]) ).
cnf(s3556,plain,
( spl0_80
| spl0_106
| ~ spl0_290
| spl0_318 ),
inference(sat_conversion,[],[f43887]) ).
cnf(s3562,plain,
( ~ spl0_13
| spl0_21
| spl0_23
| ~ spl0_30 ),
inference(sat_conversion,[],[f43911]) ).
cnf(s3564,plain,
( ~ spl0_11
| spl0_21
| spl0_22
| ~ spl0_30 ),
inference(sat_conversion,[],[f43912]) ).
cnf(s3584,plain,
( spl0_27
| ~ spl0_60
| ~ spl0_68
| ~ spl0_290
| spl0_336 ),
inference(sat_conversion,[],[f44591]) ).
cnf(s3585,plain,
( ~ spl0_290
| ~ spl0_294
| spl0_315
| spl0_336
| ~ spl0_342 ),
inference(sat_conversion,[],[f44592]) ).
cnf(s3586,plain,
( spl0_27
| ~ spl0_60
| spl0_118
| ~ spl0_290
| spl0_336 ),
inference(sat_conversion,[],[f44594]) ).
cnf(s3587,plain,
( ~ spl0_60
| spl0_190
| ~ spl0_304
| ~ spl0_342 ),
inference(sat_conversion,[],[f44657]) ).
cnf(s3588,plain,
( ~ spl0_60
| spl0_190
| spl0_305
| ~ spl0_342 ),
inference(sat_conversion,[],[f44658]) ).
cnf(s3594,plain,
( ~ spl0_293
| ~ spl0_333
| ~ spl0_351
| spl0_422 ),
inference(sat_conversion,[],[f44699]) ).
cnf(s3595,plain,
( ~ spl0_11
| ~ spl0_142
| ~ spl0_448 ),
inference(sat_conversion,[],[f44732]) ).
cnf(s3598,plain,
( ~ spl0_11
| ~ spl0_102
| spl0_336
| ~ spl0_448 ),
inference(sat_conversion,[],[f44739]) ).
cnf(s3599,plain,
( ~ spl0_11
| spl0_245
| ~ spl0_349
| spl0_354 ),
inference(sat_conversion,[],[f44740]) ).
cnf(s3600,plain,
( spl0_11
| ~ spl0_143
| ~ spl0_301
| spl0_310 ),
inference(sat_conversion,[],[f44742]) ).
cnf(s3601,plain,
( ~ spl0_11
| spl0_245
| ~ spl0_349
| ~ spl0_414 ),
inference(sat_conversion,[],[f44743]) ).
cnf(s3602,plain,
( ~ spl0_141
| ~ spl0_290
| spl0_385
| ~ spl0_386 ),
inference(sat_conversion,[],[f44744]) ).
cnf(s3603,plain,
( ~ spl0_60
| spl0_80
| spl0_122 ),
inference(sat_conversion,[],[f44746]) ).
cnf(s3605,plain,
( spl0_11
| spl0_25
| spl0_152 ),
inference(sat_conversion,[],[f44749]) ).
cnf(s3606,plain,
( ~ spl0_290
| spl0_336
| spl0_464 ),
inference(sat_conversion,[],[f44753]) ).
cnf(s3609,plain,
( ~ spl0_30
| ~ spl0_102
| spl0_336
| ~ spl0_428
| spl0_465 ),
inference(sat_conversion,[],[f44762]) ).
cnf(s3610,plain,
( ~ spl0_60
| spl0_118
| ~ spl0_143
| spl0_170
| ~ spl0_290 ),
inference(sat_conversion,[],[f44763]) ).
cnf(s3611,plain,
( ~ spl0_290
| spl0_318
| spl0_466 ),
inference(sat_conversion,[],[f44767]) ).
cnf(s3614,plain,
( spl0_154
| spl0_333
| ~ spl0_412 ),
inference(sat_conversion,[],[f44770]) ).
cnf(s3615,plain,
( ~ spl0_68
| spl0_318
| spl0_445 ),
inference(sat_conversion,[],[f44771]) ).
cnf(s3618,plain,
( spl0_93
| ~ spl0_102
| spl0_104 ),
inference(sat_conversion,[],[f44775]) ).
cnf(s3619,plain,
( spl0_185
| ~ spl0_290
| spl0_467 ),
inference(sat_conversion,[],[f44779]) ).
cnf(s3620,plain,
( spl0_21
| ~ spl0_30
| ~ spl0_142
| ~ spl0_377 ),
inference(sat_conversion,[],[f44784]) ).
cnf(s3621,plain,
( spl0_21
| ~ spl0_30
| ~ spl0_320
| ~ spl0_373 ),
inference(sat_conversion,[],[f44786]) ).
cnf(s3637,plain,
( ~ spl0_13
| ~ spl0_185
| spl0_187
| spl0_323 ),
inference(sat_conversion,[],[f44891]) ).
cnf(s3645,plain,
( ~ spl0_30
| ~ spl0_142
| ~ spl0_428
| spl0_465 ),
inference(sat_conversion,[],[f44956]) ).
cnf(s3651,plain,
( spl0_21
| ~ spl0_30
| ~ spl0_84
| ~ spl0_202 ),
inference(sat_conversion,[],[f45068]) ).
cnf(s3652,plain,
( spl0_21
| ~ spl0_30
| spl0_70
| ~ spl0_102
| ~ spl0_202 ),
inference(sat_conversion,[],[f45070]) ).
cnf(s3653,plain,
( ~ spl0_111
| ~ spl0_141
| ~ spl0_150 ),
inference(sat_conversion,[],[f45071]) ).
cnf(s3654,plain,
( spl0_13
| ~ spl0_19
| ~ spl0_153 ),
inference(sat_conversion,[],[f45073]) ).
cnf(s3656,plain,
( spl0_18
| ~ spl0_19
| ~ spl0_304
| spl0_307 ),
inference(sat_conversion,[],[f45075]) ).
cnf(s3657,plain,
( spl0_23
| ~ spl0_142
| ~ spl0_188
| spl0_456 ),
inference(sat_conversion,[],[f45076]) ).
cnf(s3659,plain,
( ~ spl0_89
| spl0_136
| ~ spl0_354
| ~ spl0_455 ),
inference(sat_conversion,[],[f45079]) ).
cnf(s3662,plain,
( spl0_25
| ~ spl0_354
| spl0_438 ),
inference(sat_conversion,[],[f45083]) ).
cnf(s3681,plain,
( ~ spl0_45
| ~ spl0_186
| ~ spl0_336 ),
inference(sat_conversion,[],[f45359]) ).
cnf(s3685,plain,
( ~ spl0_45
| ~ spl0_118
| ~ spl0_456 ),
inference(sat_conversion,[],[f45384]) ).
cnf(s3687,plain,
( spl0_115
| ~ spl0_118
| ~ spl0_188
| spl0_468 ),
inference(sat_conversion,[],[f45389]) ).
cnf(s3689,plain,
( spl0_13
| ~ spl0_112
| ~ spl0_461 ),
inference(sat_conversion,[],[f45444]) ).
cnf(s3691,plain,
( spl0_13
| ~ spl0_41
| ~ spl0_112
| ~ spl0_124 ),
inference(sat_conversion,[],[f45450]) ).
cnf(s3692,plain,
( spl0_13
| ~ spl0_112
| ~ spl0_436
| spl0_444 ),
inference(sat_conversion,[],[f45451]) ).
cnf(s3693,plain,
( spl0_13
| spl0_59
| spl0_80
| ~ spl0_112 ),
inference(sat_conversion,[],[f45452]) ).
cnf(s3699,plain,
( ~ spl0_45
| ~ spl0_222
| spl0_443 ),
inference(sat_conversion,[],[f45544]) ).
cnf(s3705,plain,
( ~ spl0_292
| ~ spl0_367
| ~ spl0_398 ),
inference(sat_conversion,[],[f45700]) ).
cnf(s3707,plain,
( spl0_13
| spl0_318
| ~ spl0_398 ),
inference(sat_conversion,[],[f45705]) ).
cnf(s3708,plain,
( ~ spl0_59
| ~ spl0_112
| spl0_131 ),
inference(sat_conversion,[],[f45720]) ).
cnf(s3710,plain,
( spl0_22
| ~ spl0_45
| ~ spl0_142
| ~ spl0_192 ),
inference(sat_conversion,[],[f45869]) ).
cnf(s3711,plain,
( ~ spl0_102
| spl0_320
| spl0_325
| ~ spl0_415 ),
inference(sat_conversion,[],[f45870]) ).
cnf(s3712,plain,
( ~ spl0_45
| ~ spl0_102
| spl0_320
| ~ spl0_339 ),
inference(sat_conversion,[],[f45871]) ).
cnf(s3715,plain,
( ~ spl0_42
| ~ spl0_292
| ~ spl0_316
| ~ spl0_367 ),
inference(sat_conversion,[],[f45874]) ).
cnf(s3716,plain,
( ~ spl0_59
| spl0_317
| ~ spl0_367 ),
inference(sat_conversion,[],[f45875]) ).
cnf(s3717,plain,
( ~ spl0_8
| ~ spl0_59
| spl0_142
| ~ spl0_354 ),
inference(sat_conversion,[],[f45876]) ).
cnf(s3720,plain,
( spl0_118
| ~ spl0_292
| spl0_313 ),
inference(sat_conversion,[],[f45879]) ).
cnf(s3721,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_54 ),
inference(sat_conversion,[],[f45880]) ).
cnf(s3729,plain,
( spl0_186
| ~ spl0_222
| ~ spl0_318 ),
inference(sat_conversion,[],[f45928]) ).
cnf(s3730,plain,
( ~ spl0_1
| ~ spl0_35
| spl0_118
| ~ spl0_318 ),
inference(sat_conversion,[],[f45929]) ).
cnf(s3734,plain,
( spl0_11
| spl0_30
| ~ spl0_102 ),
inference(sat_conversion,[],[f45937]) ).
cnf(s3742,plain,
( spl0_30
| ~ spl0_354
| spl0_404 ),
inference(sat_conversion,[],[f45951]) ).
cnf(s3750,plain,
( ~ spl0_74
| ~ spl0_305
| ~ spl0_415 ),
inference(sat_conversion,[],[f46090]) ).
cnf(s3754,plain,
( ~ spl0_120
| ~ spl0_289
| ~ spl0_468 ),
inference(sat_conversion,[],[f46222]) ).
cnf(s3758,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_48 ),
inference(sat_conversion,[],[f46350]) ).
cnf(s3763,plain,
( ~ spl0_41
| ~ spl0_354
| ~ spl0_382
| spl0_444 ),
inference(sat_conversion,[],[f46449]) ).
cnf(s3776,plain,
( ~ spl0_38
| ~ spl0_41
| ~ spl0_363
| spl0_385 ),
inference(sat_conversion,[],[f46717]) ).
cnf(s3784,plain,
( ~ spl0_38
| ~ spl0_41
| ~ spl0_379
| spl0_398 ),
inference(sat_conversion,[],[f46848]) ).
cnf(s3785,plain,
( ~ spl0_41
| ~ spl0_367
| ~ spl0_379
| spl0_398 ),
inference(sat_conversion,[],[f46849]) ).
cnf(s3787,plain,
( ~ spl0_80
| ~ spl0_192
| ~ spl0_289
| spl0_465 ),
inference(sat_conversion,[],[f46852]) ).
cnf(s3788,plain,
( ~ spl0_41
| spl0_170
| ~ spl0_367
| ~ spl0_370 ),
inference(sat_conversion,[],[f46854]) ).
cnf(s3790,plain,
( ~ spl0_4
| ~ spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f46855]) ).
cnf(s3792,plain,
( ~ spl0_30
| ~ spl0_185
| ~ spl0_189 ),
inference(sat_conversion,[],[f46857]) ).
cnf(s3799,plain,
( ~ spl0_4
| ~ spl0_60
| spl0_417 ),
inference(sat_conversion,[],[f46889]) ).
cnf(s3800,plain,
( spl0_45
| ~ spl0_60
| spl0_148 ),
inference(sat_conversion,[],[f46891]) ).
cnf(s3801,plain,
( ~ spl0_1
| ~ spl0_80
| spl0_471 ),
inference(sat_conversion,[],[f46902]) ).
cnf(s3807,plain,
( spl0_45
| ~ spl0_68
| spl0_437 ),
inference(sat_conversion,[],[f46952]) ).
cnf(s3811,plain,
( spl0_302
| spl0_342
| spl0_372 ),
inference(sat_conversion,[],[f47031]) ).
cnf(s3813,plain,
( ~ spl0_80
| ~ spl0_186
| spl0_295 ),
inference(sat_conversion,[],[f47068]) ).
cnf(s3814,plain,
( spl0_13
| ~ spl0_16
| spl0_27 ),
inference(sat_conversion,[],[f47092]) ).
cnf(s3819,plain,
( spl0_56
| spl0_311
| ~ spl0_416 ),
inference(sat_conversion,[],[f47098]) ).
cnf(s3820,plain,
( ~ spl0_41
| spl0_42
| spl0_336
| ~ spl0_354 ),
inference(sat_conversion,[],[f47099]) ).
cnf(s3823,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_80
| spl0_120 ),
inference(sat_conversion,[],[f47123]) ).
cnf(s3833,plain,
( spl0_74
| ~ spl0_118
| ~ spl0_120
| ~ spl0_297 ),
inference(sat_conversion,[],[f47182]) ).
cnf(s3841,plain,
( ~ spl0_111
| spl0_175
| spl0_307
| ~ spl0_345 ),
inference(sat_conversion,[],[f47306]) ).
cnf(s3844,plain,
( spl0_202
| spl0_367
| ~ spl0_372 ),
inference(sat_conversion,[],[f47317]) ).
cnf(s3846,plain,
( ~ spl0_128
| spl0_367
| ~ spl0_372 ),
inference(sat_conversion,[],[f47358]) ).
cnf(s3853,plain,
( ~ spl0_41
| spl0_336
| ~ spl0_398 ),
inference(sat_conversion,[],[f47504]) ).
cnf(s3855,plain,
( spl0_84
| ~ spl0_290
| spl0_360 ),
inference(sat_conversion,[],[f47506]) ).
cnf(s3856,plain,
( ~ spl0_107
| spl0_108
| ~ spl0_290
| spl0_336 ),
inference(sat_conversion,[],[f47507]) ).
cnf(s3857,plain,
( spl0_52
| spl0_307
| ~ spl0_416 ),
inference(sat_conversion,[],[f47509]) ).
cnf(s3867,plain,
( spl0_80
| ~ spl0_101
| ~ spl0_388 ),
inference(sat_conversion,[],[f47564]) ).
cnf(s3871,plain,
( ~ spl0_30
| ~ spl0_90
| ~ spl0_465 ),
inference(sat_conversion,[],[f47606]) ).
cnf(s3884,plain,
( ~ spl0_3
| spl0_36
| ~ spl0_38
| ~ spl0_42 ),
inference(sat_conversion,[],[f47756]) ).
cnf(s3886,plain,
( ~ spl0_1
| ~ spl0_142
| ~ spl0_468 ),
inference(sat_conversion,[],[f47778]) ).
cnf(s3892,plain,
( ~ spl0_80
| spl0_97
| spl0_112 ),
inference(sat_conversion,[],[f47818]) ).
cnf(s3905,plain,
( spl0_97
| ~ spl0_333
| spl0_367 ),
inference(sat_conversion,[],[f47934]) ).
cnf(s3912,plain,
( ~ spl0_83
| ~ spl0_333
| ~ spl0_420 ),
inference(sat_conversion,[],[f48071]) ).
cnf(s3916,plain,
( ~ spl0_80
| ~ spl0_339
| spl0_342 ),
inference(sat_conversion,[],[f48183]) ).
cnf(s3918,plain,
( spl0_11
| spl0_56
| ~ spl0_59 ),
inference(sat_conversion,[],[f48256]) ).
cnf(s3919,plain,
( ~ spl0_33
| ~ spl0_80
| ~ spl0_311
| ~ spl0_333
| ~ spl0_372 ),
inference(sat_conversion,[],[f48257]) ).
cnf(s3925,plain,
( ~ spl0_80
| ~ spl0_118
| ~ spl0_450 ),
inference(sat_conversion,[],[f48360]) ).
cnf(s3932,plain,
( ~ spl0_143
| ~ spl0_183
| ~ spl0_216
| spl0_381 ),
inference(sat_conversion,[],[f48443]) ).
cnf(s3940,plain,
( spl0_13
| spl0_333
| ~ spl0_447 ),
inference(sat_conversion,[],[f48546]) ).
cnf(s3945,plain,
( spl0_142
| spl0_151
| ~ spl0_388
| ~ spl0_464 ),
inference(sat_conversion,[],[f48765]) ).
cnf(s3946,plain,
( ~ spl0_112
| spl0_136
| ~ spl0_354
| ~ spl0_464 ),
inference(sat_conversion,[],[f48766]) ).
cnf(s3947,plain,
( spl0_136
| spl0_142
| ~ spl0_388
| ~ spl0_467 ),
inference(sat_conversion,[],[f48827]) ).
cnf(s3948,plain,
( ~ spl0_112
| ~ spl0_354
| spl0_444
| ~ spl0_467 ),
inference(sat_conversion,[],[f48828]) ).
cnf(s3952,plain,
( spl0_16
| ~ spl0_17
| spl0_142
| ~ spl0_143 ),
inference(sat_conversion,[],[f48982]) ).
cnf(s3953,plain,
( spl0_30
| ~ spl0_367
| spl0_403 ),
inference(sat_conversion,[],[f48983]) ).
cnf(s3961,plain,
( spl0_118
| ~ spl0_295
| spl0_411 ),
inference(sat_conversion,[],[f48992]) ).
cnf(s3964,plain,
( spl0_1
| spl0_13
| ~ spl0_41
| spl0_42 ),
inference(sat_conversion,[],[f48995]) ).
cnf(s3966,plain,
( spl0_13
| spl0_59
| spl0_333
| ~ spl0_367 ),
inference(sat_conversion,[],[f48997]) ).
cnf(s3971,plain,
( spl0_22
| ~ spl0_70
| ~ spl0_84
| spl0_132 ),
inference(sat_conversion,[],[f49023]) ).
cnf(s3972,plain,
( ~ spl0_84
| ~ spl0_90
| spl0_129
| spl0_132 ),
inference(sat_conversion,[],[f49024]) ).
cnf(s3974,plain,
( spl0_23
| ~ spl0_80
| ~ spl0_84
| spl0_132 ),
inference(sat_conversion,[],[f49025]) ).
cnf(s3975,plain,
( spl0_22
| ~ spl0_45
| ~ spl0_84
| ~ spl0_471 ),
inference(sat_conversion,[],[f49027]) ).
cnf(s3976,plain,
( ~ spl0_84
| spl0_129
| ~ spl0_142
| ~ spl0_297 ),
inference(sat_conversion,[],[f49046]) ).
cnf(s3977,plain,
( ~ spl0_84
| ~ spl0_142
| spl0_456
| ~ spl0_462 ),
inference(sat_conversion,[],[f49047]) ).
cnf(s3983,plain,
( spl0_22
| ~ spl0_45
| ~ spl0_320
| ~ spl0_357 ),
inference(sat_conversion,[],[f49103]) ).
cnf(s3987,plain,
( ~ spl0_38
| spl0_87
| ~ spl0_136 ),
inference(sat_conversion,[],[f49153]) ).
cnf(s3995,plain,
( ~ spl0_25
| ~ spl0_90
| ~ spl0_137 ),
inference(sat_conversion,[],[f49300]) ).
cnf(s3996,plain,
( ~ spl0_84
| ~ spl0_289
| ~ spl0_456 ),
inference(sat_conversion,[],[f49318]) ).
cnf(s3998,plain,
( ~ spl0_73
| spl0_342 ),
inference(sat_conversion,[],[f49321]) ).
cnf(s3999,plain,
( ~ spl0_60
| spl0_70
| spl0_401 ),
inference(sat_conversion,[],[f49322]) ).
cnf(s4003,plain,
( spl0_25
| ~ spl0_367
| spl0_439 ),
inference(sat_conversion,[],[f49329]) ).
cnf(s4006,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_68
| spl0_336 ),
inference(sat_conversion,[],[f49331]) ).
cnf(s4010,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_60
| spl0_70 ),
inference(sat_conversion,[],[f49335]) ).
cnf(s4013,plain,
( spl0_7
| ~ spl0_8
| spl0_11
| spl0_25 ),
inference(sat_conversion,[],[f49356]) ).
cnf(s4029,plain,
( ~ spl0_45
| ~ spl0_87
| ~ spl0_384
| spl0_443 ),
inference(sat_conversion,[],[f49813]) ).
cnf(s4030,plain,
( spl0_13
| ~ spl0_38
| ~ spl0_292
| ~ spl0_429 ),
inference(sat_conversion,[],[f49882]) ).
cnf(s4032,plain,
( ~ spl0_293
| ~ spl0_320
| ~ spl0_456 ),
inference(sat_conversion,[],[f49898]) ).
cnf(s4039,plain,
( ~ spl0_291
| ~ spl0_336
| ~ spl0_343
| spl0_463 ),
inference(sat_conversion,[],[f50085]) ).
cnf(s4040,plain,
( ~ spl0_90
| ~ spl0_185
| ~ spl0_463 ),
inference(sat_conversion,[],[f50103]) ).
cnf(s4043,plain,
( ~ spl0_291
| spl0_342
| spl0_371 ),
inference(sat_conversion,[],[f50108]) ).
cnf(s4047,plain,
( spl0_13
| ~ spl0_38
| spl0_385
| ~ spl0_395 ),
inference(sat_conversion,[],[f50226]) ).
cnf(s4048,plain,
( spl0_124
| spl0_336
| ~ spl0_429 ),
inference(sat_conversion,[],[f50227]) ).
cnf(s4049,plain,
( ~ spl0_60
| spl0_90
| spl0_436 ),
inference(sat_conversion,[],[f50228]) ).
cnf(s4052,plain,
( spl0_90
| spl0_170
| ~ spl0_190 ),
inference(sat_conversion,[],[f50230]) ).
cnf(s4053,plain,
( spl0_333
| spl0_355
| spl0_365 ),
inference(sat_conversion,[],[f50231]) ).
cnf(s4054,plain,
( spl0_74
| ~ spl0_80
| spl0_112
| spl0_128 ),
inference(sat_conversion,[],[f50232]) ).
cnf(s4057,plain,
( spl0_74
| ~ spl0_156
| ~ spl0_298
| spl0_354 ),
inference(sat_conversion,[],[f50234]) ).
cnf(s4058,plain,
( spl0_117
| spl0_183
| spl0_318 ),
inference(sat_conversion,[],[f50235]) ).
cnf(s4059,plain,
( spl0_318
| ~ spl0_429
| spl0_461 ),
inference(sat_conversion,[],[f50236]) ).
cnf(s4061,plain,
( spl0_18
| spl0_25
| ~ spl0_60
| spl0_90 ),
inference(sat_conversion,[],[f50240]) ).
cnf(s4064,plain,
( spl0_70
| ~ spl0_342
| ~ spl0_364
| spl0_380 ),
inference(sat_conversion,[],[f50242]) ).
cnf(s4065,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_458 ),
inference(sat_conversion,[],[f50243]) ).
cnf(s4067,plain,
( ~ spl0_294
| spl0_336
| ~ spl0_364
| spl0_380 ),
inference(sat_conversion,[],[f50245]) ).
cnf(s4068,plain,
( ~ spl0_7
| spl0_120
| ~ spl0_308
| ~ spl0_342 ),
inference(sat_conversion,[],[f50246]) ).
cnf(s4069,plain,
( ~ spl0_294
| spl0_305
| spl0_393 ),
inference(sat_conversion,[],[f50247]) ).
cnf(s4070,plain,
( ~ spl0_70
| spl0_295
| ~ spl0_337 ),
inference(sat_conversion,[],[f50248]) ).
cnf(s4071,plain,
( ~ spl0_7
| spl0_25
| spl0_32 ),
inference(sat_conversion,[],[f50249]) ).
cnf(s4072,plain,
( spl0_80
| ~ spl0_342
| ~ spl0_365
| spl0_416 ),
inference(sat_conversion,[],[f50250]) ).
cnf(s4074,plain,
( spl0_1
| ~ spl0_7
| spl0_102 ),
inference(sat_conversion,[],[f50252]) ).
cnf(s4075,plain,
( ~ spl0_7
| spl0_118
| ~ spl0_294
| ~ spl0_308 ),
inference(sat_conversion,[],[f50253]) ).
cnf(s4076,plain,
( spl0_320
| ~ spl0_342
| spl0_363 ),
inference(sat_conversion,[],[f50254]) ).
cnf(s4077,plain,
( ~ spl0_294
| spl0_320
| spl0_379 ),
inference(sat_conversion,[],[f50255]) ).
cnf(s4082,plain,
( ~ spl0_70
| spl0_104
| spl0_112 ),
inference(sat_conversion,[],[f50299]) ).
cnf(s4086,plain,
( spl0_104
| ~ spl0_336
| spl0_354 ),
inference(sat_conversion,[],[f50334]) ).
cnf(s4088,plain,
( spl0_57
| ~ spl0_90
| spl0_112 ),
inference(sat_conversion,[],[f50356]) ).
cnf(s4091,plain,
( spl0_104
| ~ spl0_311
| spl0_367 ),
inference(sat_conversion,[],[f50390]) ).
cnf(s4099,plain,
( spl0_80
| ~ spl0_112
| ~ spl0_154 ),
inference(sat_conversion,[],[f50492]) ).
cnf(s4100,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_112
| spl0_120 ),
inference(sat_conversion,[],[f50493]) ).
cnf(s4101,plain,
( spl0_118
| ~ spl0_183
| spl0_445 ),
inference(sat_conversion,[],[f50494]) ).
cnf(s4102,plain,
( ~ spl0_8
| spl0_30
| ~ spl0_52 ),
inference(sat_conversion,[],[f50495]) ).
cnf(s4104,plain,
( ~ spl0_41
| spl0_42
| spl0_70
| ~ spl0_112 ),
inference(sat_conversion,[],[f50496]) ).
cnf(s4105,plain,
( spl0_25
| ~ spl0_112
| spl0_139 ),
inference(sat_conversion,[],[f50497]) ).
cnf(s4107,plain,
( spl0_80
| spl0_120
| spl0_122 ),
inference(sat_conversion,[],[f50499]) ).
cnf(s4108,plain,
( spl0_60
| spl0_119
| spl0_120 ),
inference(sat_conversion,[],[f50500]) ).
cnf(s4109,plain,
( spl0_13
| spl0_30
| spl0_40 ),
inference(sat_conversion,[],[f50501]) ).
cnf(s4110,plain,
( spl0_320
| spl0_333
| spl0_370 ),
inference(sat_conversion,[],[f50502]) ).
cnf(s4111,plain,
( spl0_80
| spl0_84
| spl0_441 ),
inference(sat_conversion,[],[f50503]) ).
cnf(s4112,plain,
( spl0_142
| ~ spl0_183
| spl0_383 ),
inference(sat_conversion,[],[f50504]) ).
cnf(s4113,plain,
( spl0_30
| ~ spl0_112
| spl0_146 ),
inference(sat_conversion,[],[f50505]) ).
cnf(s4114,plain,
( spl0_305
| ~ spl0_342
| spl0_395 ),
inference(sat_conversion,[],[f50506]) ).
cnf(s4118,plain,
( spl0_304
| spl0_305
| spl0_355 ),
inference(sat_conversion,[],[f50508]) ).
cnf(s4119,plain,
( spl0_68
| spl0_117
| spl0_118 ),
inference(sat_conversion,[],[f50509]) ).
cnf(s4120,plain,
( ~ spl0_54
| spl0_80
| spl0_119
| spl0_120 ),
inference(sat_conversion,[],[f50525]) ).
cnf(s4121,plain,
( ~ spl0_54
| spl0_117
| spl0_118
| ~ spl0_183 ),
inference(sat_conversion,[],[f50527]) ).
cnf(s4122,plain,
( ~ spl0_54
| spl0_305
| spl0_333
| spl0_355 ),
inference(sat_conversion,[],[f50528]) ).
cnf(s4123,plain,
( spl0_13
| spl0_24
| spl0_25
| ~ spl0_54 ),
inference(sat_conversion,[],[f50529]) ).
cnf(s4131,plain,
( ~ spl0_38
| ~ spl0_41
| spl0_42
| spl0_86 ),
inference(sat_conversion,[],[f50612]) ).
cnf(s4132,plain,
( spl0_13
| ~ spl0_38
| spl0_58
| spl0_59 ),
inference(sat_conversion,[],[f50613]) ).
cnf(s4133,plain,
( ~ spl0_118
| spl0_295
| spl0_351 ),
inference(sat_conversion,[],[f50620]) ).
cnf(s4134,plain,
( spl0_11
| ~ spl0_107
| spl0_108
| ~ spl0_111 ),
inference(sat_conversion,[],[f50643]) ).
cnf(s4142,plain,
( spl0_70
| ~ spl0_295
| ~ spl0_301
| spl0_310 ),
inference(sat_conversion,[],[f50753]) ).
cnf(s4145,plain,
( ~ spl0_19
| ~ spl0_112
| ~ spl0_131 ),
inference(sat_conversion,[],[f50780]) ).
cnf(s4148,plain,
( ~ spl0_107
| spl0_108
| spl0_311
| ~ spl0_345 ),
inference(sat_conversion,[],[f50825]) ).
cnf(s4154,plain,
( ~ spl0_292
| ~ spl0_301
| spl0_310
| spl0_311 ),
inference(sat_conversion,[],[f50892]) ).
cnf(s4161,plain,
( spl0_23
| ~ spl0_25
| ~ spl0_305
| ~ spl0_325 ),
inference(sat_conversion,[],[f51276]) ).
cnf(s4163,plain,
( spl0_20
| ~ spl0_46
| spl0_96 ),
inference(sat_conversion,[],[f51369]) ).
cnf(s4164,plain,
( ~ spl0_46
| spl0_48
| spl0_49 ),
inference(sat_conversion,[],[f51370]) ).
cnf(s4165,plain,
( spl0_6
| ~ spl0_46
| spl0_49 ),
inference(sat_conversion,[],[f51371]) ).
cnf(s4167,plain,
( ~ spl0_38
| ~ spl0_292
| spl0_309 ),
inference(sat_conversion,[],[f51457]) ).
cnf(s4169,plain,
( ~ spl0_38
| ~ spl0_342
| spl0_396 ),
inference(sat_conversion,[],[f51459]) ).
cnf(s4175,plain,
( spl0_57
| ~ spl0_307
| spl0_367 ),
inference(sat_conversion,[],[f51628]) ).
cnf(s4176,plain,
( ~ spl0_293
| spl0_367
| spl0_377 ),
inference(sat_conversion,[],[f51629]) ).
cnf(s4179,plain,
( spl0_119
| spl0_354
| spl0_414 ),
inference(sat_conversion,[],[f51632]) ).
cnf(s4180,plain,
( ~ spl0_8
| spl0_84
| ~ spl0_131 ),
inference(sat_conversion,[],[f51633]) ).
cnf(s4181,plain,
( spl0_57
| ~ spl0_185
| spl0_354 ),
inference(sat_conversion,[],[f51635]) ).
cnf(s4182,plain,
( spl0_142
| ~ spl0_295
| spl0_413 ),
inference(sat_conversion,[],[f51638]) ).
cnf(s4184,plain,
( ~ spl0_8
| ~ spl0_317
| spl0_320 ),
inference(sat_conversion,[],[f51639]) ).
cnf(s4185,plain,
( spl0_142
| ~ spl0_292
| spl0_319 ),
inference(sat_conversion,[],[f51641]) ).
cnf(s4187,plain,
( ~ spl0_245
| spl0_367
| ~ spl0_420 ),
inference(sat_conversion,[],[f51642]) ).
cnf(s4188,plain,
( spl0_84
| ~ spl0_111
| spl0_442 ),
inference(sat_conversion,[],[f51643]) ).
cnf(s4195,plain,
( ~ spl0_1
| ~ spl0_25
| ~ spl0_84
| ~ spl0_120
| ~ spl0_185
| ~ spl0_289 ),
inference(sat_conversion,[],[f51806]) ).
cnf(s4199,plain,
( ~ spl0_112
| spl0_170
| ~ spl0_354
| ~ spl0_466 ),
inference(sat_conversion,[],[f51906]) ).
cnf(s4201,plain,
( spl0_129
| ~ spl0_142
| ~ spl0_324
| spl0_456 ),
inference(sat_conversion,[],[f51963]) ).
cnf(s4202,plain,
( spl0_74
| ~ spl0_118
| ~ spl0_324
| spl0_468 ),
inference(sat_conversion,[],[f51964]) ).
cnf(s4203,plain,
( ~ spl0_102
| spl0_129
| ~ spl0_324
| spl0_336
| spl0_456 ),
inference(sat_conversion,[],[f51967]) ).
cnf(s4204,plain,
( ~ spl0_134
| ~ spl0_143
| ~ spl0_295
| spl0_398 ),
inference(sat_conversion,[],[f51968]) ).
cnf(s4205,plain,
( ~ spl0_135
| ~ spl0_143
| ~ spl0_295
| spl0_397 ),
inference(sat_conversion,[],[f51969]) ).
cnf(s4207,plain,
( spl0_90
| ~ spl0_143
| ~ spl0_295
| spl0_306 ),
inference(sat_conversion,[],[f51974]) ).
cnf(s4213,plain,
( ~ spl0_38
| spl0_227
| ~ spl0_290
| spl0_336 ),
inference(sat_conversion,[],[f52350]) ).
cnf(s4214,plain,
( ~ spl0_38
| spl0_199
| ~ spl0_290
| spl0_318 ),
inference(sat_conversion,[],[f52351]) ).
cnf(s4215,plain,
( ~ spl0_38
| ~ spl0_290
| ~ spl0_295
| ~ spl0_354
| spl0_398 ),
inference(sat_conversion,[],[f52441]) ).
cnf(s4216,plain,
( ~ spl0_320
| spl0_342
| spl0_343 ),
inference(sat_conversion,[],[f52442]) ).
cnf(s4217,plain,
( ~ spl0_38
| spl0_80
| spl0_170
| ~ spl0_295
| ~ spl0_354 ),
inference(sat_conversion,[],[f52443]) ).
cnf(s4219,plain,
( ~ spl0_38
| spl0_90
| ~ spl0_295
| ~ spl0_354
| spl0_444 ),
inference(sat_conversion,[],[f52446]) ).
cnf(s4220,plain,
( spl0_1
| ~ spl0_4
| spl0_151 ),
inference(sat_conversion,[],[f52447]) ).
cnf(s4222,plain,
( ~ spl0_38
| spl0_70
| spl0_136
| ~ spl0_295
| ~ spl0_354 ),
inference(sat_conversion,[],[f52449]) ).
cnf(s4223,plain,
( ~ spl0_142
| spl0_295
| spl0_349 ),
inference(sat_conversion,[],[f52450]) ).
cnf(s4224,plain,
( spl0_90
| ~ spl0_108
| spl0_109 ),
inference(sat_conversion,[],[f52451]) ).
cnf(s4227,plain,
( ~ spl0_289
| spl0_295
| spl0_296 ),
inference(sat_conversion,[],[f52594]) ).
cnf(s4236,plain,
( ~ spl0_45
| ~ spl0_142
| ~ spl0_351
| spl0_465 ),
inference(sat_conversion,[],[f52973]) ).
cnf(s4237,plain,
( ~ spl0_45
| ~ spl0_87
| ~ spl0_351
| spl0_465 ),
inference(sat_conversion,[],[f52974]) ).
cnf(s4238,plain,
( ~ spl0_45
| ~ spl0_102
| spl0_336
| ~ spl0_351
| spl0_465 ),
inference(sat_conversion,[],[f52976]) ).
cnf(s4244,plain,
( ~ spl0_142
| ~ spl0_289
| ~ spl0_465 ),
inference(sat_conversion,[],[f53069]) ).
cnf(s4249,plain,
( ~ spl0_143
| ~ spl0_292
| spl0_306
| spl0_307 ),
inference(sat_conversion,[],[f53076]) ).
cnf(s4251,plain,
( ~ spl0_1
| ~ spl0_118
| spl0_137
| ~ spl0_349 ),
inference(sat_conversion,[],[f53081]) ).
cnf(s4252,plain,
( ~ spl0_134
| ~ spl0_322
| ~ spl0_342
| spl0_447 ),
inference(sat_conversion,[],[f53082]) ).
cnf(s4253,plain,
( ~ spl0_135
| ~ spl0_322
| ~ spl0_342
| spl0_433 ),
inference(sat_conversion,[],[f53083]) ).
cnf(s4254,plain,
( spl0_185
| ~ spl0_294
| ~ spl0_322
| spl0_412 ),
inference(sat_conversion,[],[f53084]) ).
cnf(s4255,plain,
( spl0_90
| ~ spl0_322
| ~ spl0_342
| spl0_412 ),
inference(sat_conversion,[],[f53085]) ).
cnf(s4256,plain,
( spl0_112
| spl0_156
| spl0_303 ),
inference(sat_conversion,[],[f53112]) ).
cnf(s4259,plain,
( spl0_295
| ~ spl0_414
| spl0_428 ),
inference(sat_conversion,[],[f53181]) ).
cnf(s4264,plain,
( ~ spl0_294
| ~ spl0_342
| spl0_447
| ~ spl0_467 ),
inference(sat_conversion,[],[f53688]) ).
cnf(s4265,plain,
( ~ spl0_111
| spl0_175
| spl0_185
| ~ spl0_290 ),
inference(sat_conversion,[],[f53690]) ).
cnf(s4269,plain,
( spl0_143
| spl0_185
| spl0_302 ),
inference(sat_conversion,[],[f53767]) ).
cnf(s4272,plain,
( ~ spl0_293
| spl0_295
| spl0_371 ),
inference(sat_conversion,[],[f53919]) ).
cnf(s4278,plain,
( ~ spl0_38
| spl0_90
| ~ spl0_342
| spl0_444 ),
inference(sat_conversion,[],[f54359]) ).
cnf(s4287,plain,
( ~ spl0_114
| ~ spl0_305
| spl0_322 ),
inference(rat,[],[s1650,s1886]) ).
cnf(s4312,plain,
( ~ spl0_52
| ~ spl0_68
| spl0_185 ),
inference(rat,[],[s1095,s1256]) ).
cnf(s4348,plain,
( spl0_60
| spl0_120 ),
inference(rat,[],[s157,s400]) ).
cnf(s4359,plain,
( spl0_13
| ~ spl0_41
| spl0_101
| spl0_1 ),
inference(rat,[],[s3964,s2940]) ).
cnf(s4362,plain,
( ~ spl0_111
| ~ spl0_23
| spl0_18
| ~ spl0_109
| ~ spl0_19 ),
inference(rat,[],[s2172,s1621,s3422,s3003]) ).
cnf(s4363,plain,
( ~ spl0_118
| spl0_33
| ~ spl0_23
| ~ spl0_102 ),
inference(rat,[],[s2606,s1948,s1749]) ).
cnf(s4365,plain,
( ~ spl0_118
| spl0_33
| spl0_222
| spl0_101
| spl0_1 ),
inference(rat,[],[s3414,s2876,s4058,s1337,s1750,s1749,s1886]) ).
cnf(s4372,plain,
( ~ spl0_292
| spl0_381
| spl0_419
| ~ spl0_183
| ~ spl0_456
| ~ spl0_27
| spl0_222 ),
inference(rat,[],[s1079,s4032,s2591,s959,s4118,s4069,s1842,s1841,s3494,s237,s1213]) ).
cnf(s4377,plain,
( ~ spl0_336
| spl0_190
| ~ spl0_240
| ~ spl0_27
| ~ spl0_18
| ~ spl0_60
| spl0_118
| ~ spl0_113
| ~ spl0_84
| spl0_222
| spl0_129
| ~ spl0_13
| spl0_170
| ~ spl0_30
| ~ spl0_8 ),
inference(rat,[],[s3844,s2650,s3811,s2871,s3588,s2577,s1507,s958,s4372,s2434,s3394,s1789,s4058,s3651,s4201,s2439,s3637,s1634,s1149,s4269,s3610,s957,s2743,s1341,s3336,s1608,s997,s2483,s4119,s2987,s2770,s1256,s237,s1886]) ).
cnf(s4378,plain,
( ~ spl0_18
| ~ spl0_80
| spl0_118
| ~ spl0_113
| spl0_70
| spl0_222
| spl0_129
| ~ spl0_13
| spl0_11
| ~ spl0_102
| ~ spl0_8 ),
inference(rat,[],[s3610,s4269,s957,s1149,s4227,s4201,s1830,s3339,s4179,s2003,s2568,s4377,s2770,s4052,s2054,s2391,s997,s3077,s4256,s2483,s1297,s2837,s2562,s1602,s3734,s2923,s2056,s4119,s1509,s4108,s1937,s2713,s1256,s237,s400,s1063,s1886]) ).
cnf(s4379,plain,
( ~ spl0_336
| ~ spl0_132
| ~ spl0_185
| ~ spl0_20
| spl0_410
| spl0_383
| spl0_118
| ~ spl0_113
| ~ spl0_30 ),
inference(rat,[],[s1407,s1674,s4112,s587,s4058,s2467,s2439,s2214,s1886]) ).
cnf(s4380,plain,
( ~ spl0_80
| spl0_383
| spl0_118
| ~ spl0_113
| spl0_70
| spl0_222
| spl0_129
| ~ spl0_13
| spl0_11
| ~ spl0_102
| ~ spl0_8 ),
inference(rat,[],[s2900,s957,s2770,s3996,s1407,s4203,s2606,s2568,s4379,s2054,s1149,s4061,s3461,s10,s4378,s4108,s1937,s2713,s3734,s2989,s2056,s4119,s2874,s2260,s2406,s2923,s237,s400,s1886]) ).
cnf(s4381,plain,
( spl0_80
| ~ spl0_107
| spl0_101
| spl0_1 ),
inference(rat,[],[s3497,s126]) ).
cnf(s4382,plain,
( spl0_118
| ~ spl0_113
| ~ spl0_80
| spl0_70
| spl0_222
| spl0_129
| ~ spl0_13
| spl0_11
| ~ spl0_102
| spl0_1 ),
inference(rat,[],[s4380,s2660,s238,s4]) ).
cnf(s4383,plain,
( ~ spl0_118
| ~ spl0_98
| ~ spl0_107
| spl0_204
| spl0_222
| spl0_22
| spl0_101
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s1451,s957,s4133,s1929,s2149,s4112,s997,s3710,s3318,s1337,s3414,s2876,s4058,s1750,s4381,s237,s1886]) ).
cnf(s4384,plain,
( ~ spl0_336
| ~ spl0_132
| ~ spl0_90
| ~ spl0_185
| ~ spl0_20
| spl0_410
| spl0_383
| spl0_118
| ~ spl0_84
| ~ spl0_13
| ~ spl0_30 ),
inference(rat,[],[s4058,s1560,s4112,s1343,s1407,s1674,s587,s2467,s2214,s1886]) ).
cnf(s4385,plain,
( spl0_70
| spl0_11
| ~ spl0_7
| spl0_101
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s2900,s957,s2770,s3996,s1407,s4203,s2606,s2568,s4384,s2054,s1149,s4061,s3461,s10,s1297,s3892,s2137,s4382,s2874,s2660,s4119,s4383,s269,s4108,s1937,s2713,s4381,s2056,s2445,s2923,s238,s4,s2987,s254,s2989,s2260,s2406,s3699,s2519,s3734,s4074,s4359,s33,s237,s1886,s400]) ).
cnf(s4386,plain,
( ~ spl0_80
| ~ spl0_113
| ~ spl0_70
| ~ spl0_109
| ~ spl0_19
| spl0_222
| ~ spl0_30 ),
inference(rat,[],[s3077,s3971,s1297,s1621,s3422,s3003,s1937,s2184,s3292,s2713,s1300,s2987,s1063]) ).
cnf(s4387,plain,
( ~ spl0_18
| ~ spl0_336
| spl0_190
| spl0_118
| ~ spl0_70
| ~ spl0_19
| spl0_29
| spl0_129
| ~ spl0_13
| spl0_11 ),
inference(rat,[],[s1297,s3292,s2856,s2711,s253,s1937,s4108,s2770,s3164,s2250,s2085,s997,s2483,s2837,s4119,s400,s1886]) ).
cnf(s4388,plain,
( ~ spl0_336
| spl0_190
| spl0_80
| ~ spl0_113
| spl0_118
| ~ spl0_70
| spl0_25
| spl0_29
| spl0_129
| ~ spl0_13
| spl0_170
| ~ spl0_30
| spl0_11 ),
inference(rat,[],[s1342,s4111,s3490,s2520,s2434,s4082,s3394,s2138,s4058,s2214,s2439,s3792,s3461,s4387,s33,s2989,s4119,s1886,s237]) ).
cnf(s4389,plain,
( spl0_90
| ~ spl0_18
| ~ spl0_70
| ~ spl0_109
| ~ spl0_19
| ~ spl0_30 ),
inference(rat,[],[s3971,s1621,s3077,s3003,s1297,s2184,s3292,s2987,s1063]) ).
cnf(s4390,plain,
( ~ spl0_18
| ~ spl0_142
| ~ spl0_301
| spl0_397
| spl0_80
| ~ spl0_70
| ~ spl0_109
| ~ spl0_30
| spl0_11
| spl0_101
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s3219,s4111,s1937,s2142,s2711,s4389,s3135,s2876,s3600,s4269,s1149,s4201,s3339,s2003,s238,s4,s254,s2465,s2989,s2260,s2406,s3699,s2519,s4359,s33,s1256,s237]) ).
cnf(s4391,plain,
( ~ spl0_113
| spl0_118
| ~ spl0_70
| ~ spl0_109
| spl0_11
| ~ spl0_102
| spl0_101
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s207,s4088,s221,s2467,s1937,s719,s2711,s2184,s4362,s247,s1634,s3461,s4390,s2606,s1337,s2568,s4388,s2927,s4386,s238,s2562,s4,s254,s2465,s2989,s2260,s2406,s3699,s2519,s3734,s4359,s33,s4119,s1063,s1886,s237]) ).
cnf(s4392,plain,
( ~ spl0_18
| ~ spl0_60
| spl0_97
| ~ spl0_68
| ~ spl0_70
| ~ spl0_109
| ~ spl0_19
| ~ spl0_30
| spl0_11
| spl0_101 ),
inference(rat,[],[s3600,s2876,s4269,s1337,s3135,s4181,s4086,s2003,s1769,s1407,s3971,s2138,s2467,s1621,s997,s719,s2854,s2483,s4389,s2837,s2987,s1256]) ).
cnf(s4393,plain,
( ~ spl0_336
| ~ spl0_110
| ~ spl0_90
| ~ spl0_185
| ~ spl0_20
| spl0_383
| spl0_118
| ~ spl0_70
| spl0_25
| ~ spl0_13
| ~ spl0_30
| ~ spl0_7 ),
inference(rat,[],[s3971,s4384,s1621,s2874,s2613,s1467,s957,s2599,s2987,s4119,s237,s1886]) ).
cnf(s4394,plain,
( spl0_118
| spl0_11
| ~ spl0_7
| spl0_101
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s1407,s3971,s2770,s3855,s2900,s957,s1423,s1103,s1914,s2606,s2568,s4393,s275,s1509,s207,s4088,s2467,s719,s4061,s3461,s10,s4392,s221,s2119,s4108,s1937,s2712,s1752,s2137,s4391,s2660,s4119,s238,s4,s2987,s2017,s1602,s2989,s2373,s2260,s2406,s3699,s2519,s3734,s4074,s4359,s33,s4385,s237,s400,s1886]) ).
cnf(s4395,plain,
( spl0_11
| ~ spl0_7
| spl0_101
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s207,s221,s4088,s1937,s2467,s2711,s2214,s2184,s4269,s3653,s2125,s2401,s3763,s3662,s3351,s3710,s3318,s251,s1337,s4386,s3414,s1752,s2876,s4058,s4365,s1750,s4394,s4385,s2373,s2989,s2260,s2406,s2465,s3699,s2519,s254,s4359,s2987,s3734,s33,s2525,s238,s4074,s1063,s1256,s1886,s237]) ).
cnf(s4396,plain,
( ~ spl0_336
| spl0_118
| ~ spl0_60
| ~ spl0_144
| ~ spl0_205
| ~ spl0_84
| ~ spl0_8 ),
inference(rat,[],[s2743,s1608,s957,s2125,s3610,s2691,s1504,s2732,s4269,s2191,s2214,s2203,s4119,s237,s1256,s1886]) ).
cnf(s4397,plain,
( ~ spl0_13
| ~ spl0_30
| spl0_70
| ~ spl0_7
| spl0_101
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s3488,s957,s2876,s2900,s4142,s2770,s4223,s3599,s2003,s2606,s1337,s2568,s4396,s4256,s4383,s1297,s269,s3422,s4108,s1937,s2713,s1509,s706,s1673,s2217,s2923,s4,s1431,s1168,s4381,s2445,s715,s2016,s1602,s2989,s163,s2184,s2180,s3564,s4395,s2203,s2056,s4074,s237,s1063,s400]) ).
cnf(s4398,plain,
( ~ spl0_30
| spl0_70
| ~ spl0_7
| spl0_101
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s3974,s250,s4362,s3422,s14,s4397,s2184,s2373,s2989,s2180,s163,s3564,s238,s4395,s4381,s2445,s2203,s2056,s4074,s1063,s237]) ).
cnf(s4399,plain,
( ~ spl0_13
| spl0_70
| ~ spl0_7
| spl0_101
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s2606,s4223,s2191,s3599,s4179,s2584,s2770,s4119,s4383,s269,s2882,s4108,s2372,s1937,s2260,s2713,s2406,s1509,s706,s1673,s2217,s4395,s2923,s4,s2203,s1431,s1168,s2056,s4074,s4381,s2445,s18,s4398,s400,s1886]) ).
cnf(s4400,plain,
( spl0_70
| ~ spl0_7
| spl0_101
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s2055,s2172,s250,s4100,s2857,s2184,s3210,s4109,s4399,s18,s4398,s1267,s4381,s2056,s2445,s2923,s4,s4074,s1474,s4395,s1063]) ).
cnf(s4401,plain,
( ~ spl0_30
| ~ spl0_109
| ~ spl0_19
| ~ spl0_70
| ~ spl0_11
| ~ spl0_45 ),
inference(rat,[],[s3971,s250,s1621,s3422,s3003,s4389,s2184,s719,s715,s2016,s1602,s2987,s1063]) ).
cnf(s4402,plain,
( ~ spl0_80
| ~ spl0_17
| spl0_222
| spl0_129
| ~ spl0_13
| ~ spl0_70
| ~ spl0_11
| ~ spl0_7
| spl0_101
| spl0_1 ),
inference(rat,[],[s3414,s2876,s4058,s1337,s2836,s2743,s963,s957,s2699,s2721,s2613,s2584,s4119,s4365,s1752,s1300,s2184,s3003,s1621,s1673,s1267,s2806,s2856,s4256,s4100,s1937,s2713,s1474,s2373,s282,s4071,s2260,s2406,s1886,s237,s1063]) ).
cnf(s4403,plain,
( spl0_120
| spl0_80
| ~ spl0_17
| spl0_129
| ~ spl0_70
| ~ spl0_11
| ~ spl0_7
| spl0_1 ),
inference(rat,[],[s1267,s2856,s4111,s4100,s3219,s238,s4]) ).
cnf(s4404,plain,
( ~ spl0_13
| ~ spl0_7
| spl0_101
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s3971,s2203,s208,s207,s2856,s250,s253,s4403,s4402,s2372,s18,s4401,s2373,s2989,s2260,s2406,s706,s254,s2217,s4395,s4400,s237]) ).
cnf(s4405,plain,
( ~ spl0_30
| ~ spl0_70
| ~ spl0_11
| ~ spl0_7
| ~ spl0_45 ),
inference(rat,[],[s4401,s2373,s2989,s163,s3564,s2987,s237]) ).
cnf(s4406,plain,
( ~ spl0_84
| spl0_112
| ~ spl0_70
| ~ spl0_11 ),
inference(rat,[],[s2856,s1613,s1267]) ).
cnf(s4407,plain,
( ~ spl0_80
| ~ spl0_25
| ~ spl0_17
| spl0_13
| spl0_83
| ~ spl0_70
| ~ spl0_11
| ~ spl0_7 ),
inference(rat,[],[s3814,s2854,s3343,s1621,s4406,s2184,s3070,s2261,s3892,s4100,s4108,s1937,s2713,s705,s1063,s400]) ).
cnf(s4408,plain,
( spl0_120
| spl0_80
| ~ spl0_17
| ~ spl0_70
| ~ spl0_11
| ~ spl0_7
| spl0_1 ),
inference(rat,[],[s4406,s4111,s4100,s3219,s238,s4]) ).
cnf(s4409,plain,
( ~ spl0_84
| spl0_132
| ~ spl0_70 ),
inference(rat,[],[s3971,s2203]) ).
cnf(s4410,plain,
( spl0_112
| ~ spl0_240
| ~ spl0_70
| ~ spl0_11 ),
inference(rat,[],[s2806,s2976,s4256,s1063]) ).
cnf(s4411,plain,
( ~ spl0_7
| spl0_101
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s3708,s3693,s4410,s4180,s4409,s2389,s250,s4408,s4407,s219,s4109,s18,s4405,s4404,s266,s4400,s4395,s238,s4,s2134]) ).
cnf(s4412,plain,
( spl0_70
| ~ spl0_39
| spl0_42
| ~ spl0_41
| spl0_101
| spl0_1 ),
inference(rat,[],[s259,s4381,s4104,s2445]) ).
cnf(s4413,plain,
( spl0_118
| ~ spl0_84
| ~ spl0_60
| spl0_190
| ~ spl0_70
| spl0_7
| ~ spl0_8 ),
inference(rat,[],[s1342,s1609,s4006,s2770,s4119,s1886]) ).
cnf(s4414,plain,
( spl0_120
| spl0_80
| ~ spl0_70
| ~ spl0_160
| ~ spl0_17
| spl0_16
| spl0_52
| ~ spl0_114
| spl0_7
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s1130,s3490,s3318,s1407,s3710,s3952,s1804,s1684,s4413,s4409,s2203,s4111,s3219,s4108,s4,s2927,s238,s400]) ).
cnf(s4415,plain,
( spl0_11
| spl0_101
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s4111,s2520,s4409,s2856,s250,s253,s4414,s101,s266,s4412,s321,s706,s18,s2972,s2406,s178,s255,s177,s246,s254,s136,s2260,s4359,s143,s4013,s2562,s33,s240,s3,s4411,s4]) ).
cnf(s4416,plain,
( ~ spl0_84
| spl0_132
| ~ spl0_120
| ~ spl0_80 ),
inference(rat,[],[s3974,s2172]) ).
cnf(s4417,plain,
( ~ spl0_30
| spl0_451
| spl0_131
| ~ spl0_388
| ~ spl0_14
| spl0_18
| ~ spl0_145
| ~ spl0_11
| ~ spl0_6
| ~ spl0_45 ),
inference(rat,[],[s4058,s1134,s3327,s3657,s1634,s1948,s2768,s1803,s2018,s3685,s2229,s721,s10,s2989,s715,s163,s2016,s3564,s1602,s2987,s1886,s237]) ).
cnf(s4418,plain,
( spl0_118
| spl0_57
| spl0_59
| ~ spl0_33
| spl0_13
| spl0_7
| ~ spl0_45
| ~ spl0_8 ),
inference(rat,[],[s3327,s4181,s1802,s3394,s3117,s4058,s2955,s4006,s4119,s8,s1886]) ).
cnf(s4419,plain,
( spl0_70
| spl0_101
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s2768,s1948,s2018,s4418,s3297,s3070,s3708,s3296,s2184,s2370,s39,s563,s3210,s219,s47,s4109,s4417,s3413,s4180,s290,s1621,s4416,s8,s14,s706,s2713,s2232,s250,s1937,s2547,s4108,s4381,s4010,s1678,s2445,s2923,s238,s3,s4411,s4,s2217,s4415,s1063,s400]) ).
cnf(s4420,plain,
( ~ spl0_84
| ~ spl0_60
| spl0_222
| ~ spl0_70
| ~ spl0_11 ),
inference(rat,[],[s1297,s3290,s4061,s2260,s2406,s3692,s4049,s719,s715,s2524,s1429,s4406,s1168]) ).
cnf(s4421,plain,
( ~ spl0_242
| spl0_25
| ~ spl0_13
| ~ spl0_60
| ~ spl0_70
| ~ spl0_11 ),
inference(rat,[],[s1297,s4256,s3290,s4061,s2806,s719,s1673,s715,s2017,s2016,s1063]) ).
cnf(s4422,plain,
( spl0_118
| ~ spl0_170
| ~ spl0_128
| ~ spl0_156
| spl0_129
| ~ spl0_60
| spl0_7
| ~ spl0_8 ),
inference(rat,[],[s2900,s957,s1769,s2770,s2743,s1915,s2699,s4179,s1504,s4006,s4119,s237,s400,s1886]) ).
cnf(s4423,plain,
( ~ spl0_111
| spl0_144
| ~ spl0_128
| spl0_240
| ~ spl0_156
| ~ spl0_17
| spl0_129
| spl0_84
| spl0_222
| ~ spl0_80
| ~ spl0_11
| spl0_7
| ~ spl0_366
| ~ spl0_8 ),
inference(rat,[],[s957,s3324,s1451,s3551,s4133,s1669,s4058,s1403,s1750,s2388,s4422,s3435,s3343,s4188,s2854,s1621,s4108,s1937,s2713,s237,s1886,s400]) ).
cnf(s4424,plain,
( spl0_112
| spl0_129
| ~ spl0_13
| spl0_222
| ~ spl0_80
| ~ spl0_70
| ~ spl0_11
| spl0_7
| spl0_101
| ~ spl0_366
| spl0_1 ),
inference(rat,[],[s2900,s957,s1769,s2770,s2575,s1635,s4269,s2125,s2085,s2624,s2690,s4006,s4422,s4119,s4365,s1752,s715,s4088,s1300,s719,s2184,s4423,s2806,s2856,s4410,s4256,s4,s4420,s18,s1602,s4421,s2260,s2406,s4108,s1937,s2713,s237,s1256,s1886,s1063,s400]) ).
cnf(s4425,plain,
( ~ spl0_13
| ~ spl0_80
| spl0_101
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s2575,s4181,s957,s3742,s2900,s1815,s1769,s2770,s1513,s3215,s2544,s4269,s4058,s2125,s4112,s2085,s4006,s2691,s2660,s4119,s4365,s1752,s715,s1300,s719,s206,s209,s1503,s210,s4424,s18,s1602,s4421,s2528,s2260,s2406,s254,s238,s4,s2134,s4411,s4420,s4108,s1937,s2713,s705,s266,s4419,s4415,s237,s1256,s1886,s400]) ).
cnf(s4426,plain,
( spl0_30
| ~ spl0_80
| spl0_101
| spl0_3
| spl0_1 ),
inference(rat,[],[s162,s35,s554,s85,s27,s219,s9,s4109,s18,s238,s3,s4411,s4,s2156,s3814,s4425,s2854,s1621,s4420,s4415,s4108,s1937,s2713,s705,s266,s4419,s150,s400]) ).
cnf(s4427,plain,
( ~ spl0_80
| spl0_101
| spl0_3
| spl0_1 ),
inference(rat,[],[s719,s4061,s715,s163,s2016,s3564,s1602,s2987,s4426,s14,s4425,s4108,s1937,s2713,s705,s238,s4415,s266,s4419,s150,s400]) ).
cnf(s4428,plain,
( ~ spl0_84
| spl0_222
| ~ spl0_70
| ~ spl0_11
| ~ spl0_45 ),
inference(rat,[],[s4108,s250,s4420,s4409,s400]) ).
cnf(s4429,plain,
( ~ spl0_13
| spl0_80
| ~ spl0_70
| ~ spl0_11
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s208,s2372,s18,s1602,s2016,s715,s719,s2184,s3653,s2925,s4105,s207,s4410,s2389,s3219,s4111,s4428,s2260,s2406,s706,s238,s4,s2134,s2217,s251,s1063]) ).
cnf(s4430,plain,
( ~ spl0_84
| spl0_13
| spl0_80
| ~ spl0_70
| ~ spl0_11
| ~ spl0_45 ),
inference(rat,[],[s4120,s56,s250,s3693,s4409,s4406,s400]) ).
cnf(s4431,plain,
( spl0_101
| spl0_3
| spl0_1 ),
inference(rat,[],[s3708,s3693,s4410,s2389,s3219,s4111,s4180,s4430,s4429,s4427,s4419,s4415,s238,s4,s2134,s150]) ).
cnf(s4432,plain,
( spl0_112
| spl0_222
| ~ spl0_102
| ~ spl0_84
| ~ spl0_80
| spl0_129
| ~ spl0_13
| spl0_70
| spl0_11
| ~ spl0_101
| spl0_1 ),
inference(rat,[],[s2554,s4058,s997,s1750,s1948,s4382,s3974,s2137,s3077,s3892,s3734,s1886]) ).
cnf(s4433,plain,
( spl0_118
| spl0_18
| spl0_25
| ~ spl0_30
| ~ spl0_102
| ~ spl0_60
| ~ spl0_84
| spl0_129
| ~ spl0_13
| spl0_204
| spl0_1 ),
inference(rat,[],[s2900,s957,s2770,s3996,s1407,s4203,s2606,s2568,s4384,s1149,s3461,s2874,s2660,s4119,s238,s4,s10,s2989,s3972,s4061,s237,s1886]) ).
cnf(s4434,plain,
( ~ spl0_60
| ~ spl0_84
| ~ spl0_80
| ~ spl0_13
| spl0_70
| spl0_11
| spl0_3
| spl0_1 ),
inference(rat,[],[s2554,s997,s4058,s1948,s1750,s4433,s247,s2180,s4061,s1297,s4432,s2260,s2406,s3699,s2519,s3734,s4074,s4010,s4431,s2923,s4,s254,s150,s1886]) ).
cnf(s4435,plain,
( ~ spl0_84
| ~ spl0_80
| ~ spl0_13
| spl0_70
| spl0_11
| spl0_3
| spl0_1 ),
inference(rat,[],[s4416,s250,s4108,s4434,s150,s400]) ).
cnf(s4436,plain,
( ~ spl0_80
| ~ spl0_13
| spl0_70
| spl0_11
| spl0_3
| spl0_1 ),
inference(rat,[],[s28,s259,s3,s4131,s4104,s4074,s2972,s2056,s4435,s4,s33,s1678]) ).
cnf(s4437,plain,
( ~ spl0_311
| spl0_104
| spl0_390
| ~ spl0_237
| ~ spl0_336
| spl0_25 ),
inference(rat,[],[s2422,s4003,s959,s4091,s2303,s237]) ).
cnf(s4438,plain,
( ~ spl0_336
| spl0_118
| ~ spl0_27
| ~ spl0_18
| ~ spl0_111
| ~ spl0_240
| ~ spl0_60
| spl0_222
| spl0_56
| ~ spl0_30
| ~ spl0_102
| ~ spl0_84
| spl0_190
| spl0_80
| spl0_129
| ~ spl0_13
| spl0_70
| spl0_170
| ~ spl0_8 ),
inference(rat,[],[s4072,s4053,s1275,s3905,s3844,s2650,s2871,s3819,s4437,s2138,s3652,s2214,s1634,s4269,s2977,s3610,s957,s2137,s2743,s2085,s4377,s251,s2260,s2406,s1608,s997,s2483,s4119,s2203,s1213,s1256,s237,s1886]) ).
cnf(s4439,plain,
( spl0_118
| ~ spl0_27
| ~ spl0_18
| ~ spl0_111
| ~ spl0_240
| ~ spl0_60
| spl0_222
| spl0_56
| ~ spl0_30
| ~ spl0_102
| ~ spl0_84
| spl0_190
| spl0_80
| spl0_129
| ~ spl0_13
| spl0_70
| spl0_170
| ~ spl0_8 ),
inference(rat,[],[s3610,s957,s4269,s4244,s1149,s3645,s4201,s4259,s3339,s4179,s2003,s2568,s4438,s997,s2483,s2770,s4119,s237,s1256,s400,s1886]) ).
cnf(s4440,plain,
( spl0_120
| ~ spl0_13
| spl0_70
| spl0_11
| spl0_3
| spl0_1 ),
inference(rat,[],[s4236,s4244,s4133,s997,s957,s3490,s2554,s2434,s3556,s4058,s1750,s4439,s2837,s4061,s2184,s3972,s2391,s3077,s4256,s207,s221,s4120,s4108,s2562,s4,s254,s2927,s238,s1621,s3867,s4431,s1602,s2442,s1766,s246,s2989,s2260,s2406,s3699,s2519,s3734,s129,s3497,s4436,s2445,s150,s237,s1886,s1063,s400]) ).
cnf(s4442,plain,
( ~ spl0_142
| ~ spl0_68
| spl0_74
| ~ spl0_156
| spl0_150
| ~ spl0_21
| spl0_25
| ~ spl0_30
| spl0_80
| spl0_385 ),
inference(rat,[],[s3490,s4058,s4259,s1134,s3645,s2800,s2764,s4244,s4179,s957,s3662,s3602,s1804,s2729,s4312,s2933,s4269,s1634,s251,s1886,s400,s237,s1256]) ).
cnf(s4443,plain,
( spl0_118
| ~ spl0_156
| spl0_150
| ~ spl0_21
| ~ spl0_120
| spl0_25
| ~ spl0_30
| ~ spl0_102
| spl0_80
| ~ spl0_13
| spl0_385
| spl0_204
| spl0_170
| ~ spl0_8 ),
inference(rat,[],[s3637,s2596,s4269,s3336,s4182,s2125,s2606,s4442,s2526,s2691,s4119,s2499,s1256,s1886]) ).
cnf(s4444,plain,
( ~ spl0_13
| spl0_70
| spl0_11
| spl0_3
| spl0_1 ),
inference(rat,[],[s3490,s4133,s2430,s4236,s2743,s4244,s997,s957,s2554,s3556,s4058,s3166,s1750,s4443,s4256,s4105,s2883,s3653,s3118,s2184,s3562,s2711,s2172,s1937,s4440,s2260,s2406,s2465,s3699,s2442,s2519,s1766,s3734,s246,s129,s1621,s3497,s251,s3867,s4436,s150,s4431,s2562,s2923,s4,s2445,s2132,s33,s237,s1886,s1063]) ).
cnf(s4445,plain,
( ~ spl0_97
| ~ spl0_60
| ~ spl0_84
| ~ spl0_30
| spl0_18
| ~ spl0_45 ),
inference(rat,[],[s4061,s2261,s2142,s3032]) ).
cnf(s4446,plain,
( ~ spl0_290
| ~ spl0_343
| ~ spl0_38
| spl0_463
| spl0_227
| spl0_120
| spl0_13 ),
inference(rat,[],[s958,s4039,s4030,s4213,s3538,s237]) ).
cnf(s4447,plain,
( spl0_295
| spl0_299
| ~ spl0_142
| ~ spl0_185
| ~ spl0_15
| spl0_25
| spl0_222
| ~ spl0_90
| ~ spl0_136
| spl0_97
| spl0_59
| spl0_120
| ~ spl0_84
| spl0_18
| spl0_13
| spl0_385
| ~ spl0_8 ),
inference(rat,[],[s1522,s959,s2740,s1829,s2568,s2598,s2743,s957,s4446,s2677,s4216,s3811,s3656,s1079,s4114,s4118,s1393,s1842,s3905,s1632,s4047,s4132,s1927,s587,s104,s1470,s3972,s1145,s1407,s2528,s10,s2989,s4040,s237,s1256,s1213]) ).
cnf(s4448,plain,
( ~ spl0_295
| ~ spl0_185
| spl0_410
| spl0_118
| ~ spl0_20
| ~ spl0_90
| ~ spl0_60 ),
inference(rat,[],[s2575,s957,s587,s2900,s1674,s1769,s2770,s237]) ).
cnf(s4449,plain,
( spl0_118
| ~ spl0_15
| spl0_25
| spl0_222
| ~ spl0_90
| ~ spl0_136
| spl0_97
| spl0_59
| spl0_120
| ~ spl0_84
| spl0_22
| spl0_18
| spl0_13
| spl0_385
| spl0_204
| ~ spl0_8 ),
inference(rat,[],[s4447,s1608,s997,s2285,s4181,s1470,s1145,s4448,s3461,s2874,s4119,s4108,s10,s2989,s1886,s237,s400]) ).
cnf(s4450,plain,
( spl0_25
| spl0_222
| ~ spl0_90
| ~ spl0_136
| spl0_461
| spl0_97
| spl0_59
| ~ spl0_7
| spl0_120
| ~ spl0_84
| spl0_22
| spl0_18
| spl0_13
| spl0_385
| spl0_204
| ~ spl0_8 ),
inference(rat,[],[s957,s2575,s3538,s4181,s3327,s2434,s4059,s3117,s4058,s1750,s4449,s282,s3050,s4071,s8,s237,s1886]) ).
cnf(s4451,plain,
( ~ spl0_142
| spl0_118
| ~ spl0_132
| spl0_57
| spl0_23
| spl0_59
| spl0_56
| ~ spl0_60
| ~ spl0_84
| spl0_22
| spl0_13 ),
inference(rat,[],[s4181,s3327,s3117,s4058,s1134,s2430,s3657,s2743,s3996,s957,s2900,s1769,s2770,s1407,s1608,s8,s1886,s237]) ).
cnf(s4452,plain,
( spl0_118
| ~ spl0_132
| spl0_57
| spl0_23
| ~ spl0_136
| spl0_97
| spl0_59
| spl0_56
| ~ spl0_60
| ~ spl0_84
| spl0_22
| spl0_13
| spl0_1 ),
inference(rat,[],[s3135,s4058,s2285,s4112,s997,s4451,s2660,s238,s4,s1886]) ).
cnf(s4453,plain,
( spl0_222
| ~ spl0_90
| spl0_97
| spl0_59
| spl0_120
| ~ spl0_80
| spl0_94
| ~ spl0_102
| ~ spl0_30
| spl0_13
| spl0_385
| spl0_70
| spl0_1 ),
inference(rat,[],[s3327,s2430,s4181,s2741,s3117,s4058,s3165,s1750,s4452,s2055,s3297,s2999,s4450,s2923,s14,s238,s8,s2987,s2056,s4010,s4,s1365,s2445,s3689,s2959,s3892,s3999,s4108,s1886,s400]) ).
cnf(s4454,plain,
( spl0_118
| spl0_25
| ~ spl0_222
| ~ spl0_90
| spl0_59
| ~ spl0_60
| ~ spl0_80
| spl0_18
| spl0_13
| spl0_204 ),
inference(rat,[],[s4181,s3117,s1470,s3729,s1145,s3813,s4448,s3461,s2874,s4119,s10,s2989,s1886,s237]) ).
cnf(s4455,plain,
( ~ spl0_142
| ~ spl0_118
| ~ spl0_90
| spl0_124
| spl0_59
| spl0_56
| spl0_120
| spl0_22
| spl0_13
| ~ spl0_45 ),
inference(rat,[],[s2575,s957,s4181,s3538,s3327,s3117,s4058,s4048,s2430,s1134,s3318,s3657,s3710,s1948,s8,s3685,s237,s1886]) ).
cnf(s4456,plain,
( ~ spl0_316
| ~ spl0_136
| spl0_97
| ~ spl0_101 ),
inference(rat,[],[s3135,s4058,s2285,s2554,s1886]) ).
cnf(s4457,plain,
( spl0_120
| ~ spl0_80
| spl0_70
| spl0_11
| spl0_3
| spl0_1 ),
inference(rat,[],[s4452,s2055,s3297,s2999,s4454,s4455,s997,s4456,s4453,s4049,s2959,s3691,s3692,s3892,s4445,s3918,s1365,s3999,s4108,s2525,s2923,s4,s2445,s2132,s14,s238,s2987,s3032,s18,s2978,s4431,s150,s2056,s2972,s3964,s4444,s33,s400]) ).
cnf(s4458,plain,
( ~ spl0_80
| spl0_70
| spl0_11
| spl0_3
| spl0_1 ),
inference(rat,[],[s4416,s250,s4457,s150,s2056,s2972,s3964,s4444,s33]) ).
cnf(s4459,plain,
( spl0_54
| spl0_80
| ~ spl0_84
| ~ spl0_30
| spl0_13 ),
inference(rat,[],[s3972,s2184,s3077,s1613,s3216,s3693,s2444,s56,s1063]) ).
cnf(s4460,plain,
( spl0_118
| ~ spl0_71
| ~ spl0_56
| ~ spl0_54
| spl0_80
| ~ spl0_84
| spl0_22
| spl0_431
| spl0_204
| ~ spl0_45
| ~ spl0_8 ),
inference(rat,[],[s2743,s957,s1608,s2415,s4182,s3961,s1132,s3681,s1337,s4058,s1096,s4121,s2526,s4119,s237,s1886]) ).
cnf(s4461,plain,
( ~ spl0_142
| spl0_456
| spl0_129
| spl0_112
| ~ spl0_111
| spl0_21
| ~ spl0_30
| spl0_175 ),
inference(rat,[],[s4265,s957,s1149,s3362,s4201,s3620,s237]) ).
cnf(s4462,plain,
( spl0_112
| ~ spl0_56
| ~ spl0_111
| spl0_21
| ~ spl0_209
| ~ spl0_54
| spl0_80
| ~ spl0_84
| ~ spl0_102
| ~ spl0_30
| spl0_175
| spl0_431
| spl0_204
| ~ spl0_101
| ~ spl0_45
| ~ spl0_8 ),
inference(rat,[],[s2955,s4058,s1749,s2554,s2606,s997,s4461,s3685,s4460,s2409,s1613,s4256,s2987,s1886,s1063]) ).
cnf(s4464,plain,
( ~ spl0_342
| spl0_222
| spl0_29
| spl0_33
| ~ spl0_131
| ~ spl0_134
| ~ spl0_6
| spl0_13 ),
inference(rat,[],[s2665,s4252,s1286,s3940,s1843,s1842,s4118,s3555,s1725,s1213]) ).
cnf(s4465,plain,
( spl0_118
| ~ spl0_131
| ~ spl0_134
| ~ spl0_59
| ~ spl0_52
| ~ spl0_56
| ~ spl0_111
| ~ spl0_121
| spl0_202
| spl0_57
| spl0_23
| ~ spl0_54
| ~ spl0_141
| ~ spl0_84
| spl0_22
| spl0_175
| spl0_13
| ~ spl0_45
| ~ spl0_8 ),
inference(rat,[],[s3208,s958,s3841,s987,s1286,s3316,s1843,s1842,s2069,s4118,s3173,s959,s4032,s4184,s3716,s3844,s3811,s4464,s2977,s957,s2743,s3657,s1608,s3729,s2429,s3717,s3681,s2955,s1134,s4181,s1337,s4058,s4312,s1096,s4121,s4119,s1766,s1256,s237,s1213,s1886]) ).
cnf(s4466,plain,
( ~ spl0_185
| spl0_318
| spl0_336
| ~ spl0_142
| ~ spl0_118
| ~ spl0_59
| ~ spl0_112
| ~ spl0_93
| spl0_90
| spl0_57
| ~ spl0_102
| spl0_11
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s4237,s4244,s4133,s957,s94,s4219,s3611,s1927,s4199,s4203,s4181,s1149,s2525,s2562,s4,s3685,s237]) ).
cnf(s4467,plain,
( ~ spl0_142
| ~ spl0_118
| ~ spl0_59
| ~ spl0_112
| ~ spl0_93
| spl0_90
| spl0_57
| spl0_23
| spl0_22
| ~ spl0_102
| spl0_175
| spl0_11
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s4236,s4244,s4133,s957,s4204,s4265,s4269,s4466,s3853,s1134,s3318,s3657,s3710,s33,s2184,s206,s3685,s237,s1256,s1063]) ).
cnf(s4468,plain,
( spl0_90
| spl0_70
| spl0_11
| spl0_3
| spl0_1 ),
inference(rat,[],[s2741,s3717,s2606,s4467,s3165,s4465,s3708,s206,s3693,s4462,s104,s282,s2381,s2442,s1956,s3227,s4224,s2184,s2923,s1932,s2939,s2015,s3036,s4,s2987,s251,s3497,s2445,s2172,s4120,s2260,s3297,s3652,s163,s432,s2261,s4123,s3032,s150,s60,s4459,s4458,s2056,s2972,s3964,s33,s18,s2978,s4431,s4444,s1063,s237,s400]) ).
cnf(s4469,plain,
( spl0_118
| ~ spl0_56
| ~ spl0_59
| ~ spl0_29
| ~ spl0_112
| spl0_97
| ~ spl0_54
| ~ spl0_84
| spl0_22
| spl0_444
| ~ spl0_45
| ~ spl0_8 ),
inference(rat,[],[s2743,s957,s1608,s3619,s2429,s3717,s3948,s3681,s3135,s1337,s4058,s1096,s4121,s4119,s237,s1886]) ).
cnf(s4470,plain,
( ~ spl0_142
| ~ spl0_118
| ~ spl0_129
| spl0_465
| ~ spl0_112
| ~ spl0_121
| spl0_23
| ~ spl0_120
| spl0_80
| spl0_22
| spl0_170
| ~ spl0_45
| ~ spl0_8 ),
inference(rat,[],[s4202,s3754,s1149,s957,s4269,s1502,s3611,s4205,s4217,s2568,s4199,s4133,s1134,s3318,s1478,s4236,s3657,s3710,s207,s3685,s237,s1256]) ).
cnf(s4471,plain,
( spl0_70
| spl0_11
| spl0_3
| spl0_1 ),
inference(rat,[],[s2741,s3717,s2606,s4470,s3165,s4469,s3918,s3693,s3972,s2711,s3871,s4088,s4468,s432,s3297,s2261,s2172,s250,s1937,s4123,s60,s4120,s4459,s4458,s2056,s3032,s2987,s2972,s18,s3964,s2978,s4444,s150,s4431,s2525,s33,s2562,s4,s237,s400]) ).
cnf(s4472,plain,
( spl0_90
| ~ spl0_109
| ~ spl0_30
| spl0_25
| ~ spl0_60
| ~ spl0_70 ),
inference(rat,[],[s4389,s4061,s2989,s237]) ).
cnf(s4474,plain,
( ~ spl0_342
| spl0_318
| ~ spl0_18
| spl0_377
| spl0_97
| spl0_131
| ~ spl0_60 ),
inference(rat,[],[s3132,s959,s3905,s4176,s2650,s1810,s2686,s237]) ).
cnf(s4475,plain,
( ~ spl0_142
| spl0_118
| spl0_21
| spl0_97
| ~ spl0_19
| ~ spl0_30
| ~ spl0_60
| ~ spl0_69
| ~ spl0_132
| ~ spl0_84
| spl0_129
| ~ spl0_8 ),
inference(rat,[],[s2650,s2871,s3844,s3163,s3811,s4474,s3135,s2003,s10,s961,s957,s2900,s1769,s2770,s1407,s3976,s3620,s4145,s3077,s3651,s1256,s237]) ).
cnf(s4476,plain,
( ~ spl0_80
| ~ spl0_60
| ~ spl0_84
| spl0_129
| ~ spl0_13
| spl0_83
| ~ spl0_70
| spl0_11
| spl0_1 ),
inference(rat,[],[s3164,s2149,s2606,s997,s4475,s4363,s247,s2180,s4472,s1752,s2137,s4386,s2373,s2989,s3734,s2260,s269,s4074,s2406,s3,s705,s101,s4,s4409,s2250,s1429,s1168,s237]) ).
cnf(s4477,plain,
( ~ spl0_30
| spl0_80
| ~ spl0_132
| ~ spl0_13
| ~ spl0_45
| spl0_26 ),
inference(rat,[],[s2989,s2260,s221,s2406,s207,s3699,s3077,s2519,s250,s237]) ).
cnf(s4478,plain,
( ~ spl0_84
| ~ spl0_13
| ~ spl0_70
| spl0_11
| ~ spl0_45
| spl0_1 ),
inference(rat,[],[s706,s321,s2406,s4414,s2260,s137,s143,s4013,s3,s1578,s4074,s2972,s18,s3428,s3734,s4102,s4477,s4476,s4108,s250,s4409,s238,s4,s240,s33,s266,s254,s400]) ).
cnf(s4479,plain,
( spl0_118
| ~ spl0_110
| spl0_18
| ~ spl0_90
| ~ spl0_30
| spl0_25
| ~ spl0_7
| spl0_245
| ~ spl0_388
| ~ spl0_13
| ~ spl0_70
| spl0_1 ),
inference(rat,[],[s1103,s1423,s2606,s957,s4393,s2613,s3461,s2660,s4119,s238,s4,s4074,s10,s2989,s237,s1886]) ).
cnf(s4480,plain,
( ~ spl0_13
| spl0_11
| spl0_3
| spl0_1 ),
inference(rat,[],[s3855,s957,s1914,s1692,s1749,s4479,s275,s2532,s1752,s2837,s2017,s4472,s4386,s2854,s1572,s1602,s2373,s2989,s2119,s4108,s3734,s2260,s1937,s4074,s2406,s2713,s3,s705,s101,s1509,s3867,s1621,s4478,s4,s4431,s266,s4471,s150,s237,s400]) ).
cnf(s4481,plain,
( ~ spl0_142
| ~ spl0_354
| spl0_118
| spl0_222
| ~ spl0_121
| spl0_25
| ~ spl0_93
| spl0_21
| spl0_97
| ~ spl0_60
| ~ spl0_69
| ~ spl0_132
| ~ spl0_84
| ~ spl0_30
| spl0_13
| ~ spl0_8 ),
inference(rat,[],[s4167,s958,s2737,s2795,s3998,s3382,s2247,s959,s3987,s1522,s1983,s3659,s2740,s4118,s2799,s1842,s2743,s1632,s957,s4132,s2874,s2900,s1927,s1674,s1769,s2770,s4475,s1407,s1608,s2936,s2987,s2989,s56,s3050,s4119,s237,s400,s1213,s1886]) ).
cnf(s4482,plain,
( spl0_118
| spl0_222
| spl0_25
| ~ spl0_93
| spl0_57
| spl0_21
| spl0_97
| ~ spl0_98
| ~ spl0_60
| ~ spl0_84
| ~ spl0_102
| ~ spl0_30
| spl0_18
| spl0_13
| ~ spl0_70
| ~ spl0_8 ),
inference(rat,[],[s1342,s2149,s2606,s997,s4481,s4181,s3792,s3461,s4119,s4409,s2250,s1429,s1168,s587,s10,s2989,s1886,s237]) ).
cnf(s4483,plain,
( spl0_25
| ~ spl0_93
| spl0_57
| spl0_21
| spl0_97
| ~ spl0_98
| ~ spl0_60
| ~ spl0_84
| ~ spl0_102
| ~ spl0_30
| spl0_18
| spl0_13
| spl0_83
| ~ spl0_70
| ~ spl0_8 ),
inference(rat,[],[s4181,s3327,s2434,s3117,s4058,s1750,s4482,s705,s4459,s56,s3050,s8,s1886]) ).
cnf(s4484,plain,
( ~ spl0_142
| spl0_118
| spl0_23
| spl0_57
| ~ spl0_60
| ~ spl0_132
| ~ spl0_84
| spl0_22
| spl0_13
| spl0_11 ),
inference(rat,[],[s4451,s3918,s1096,s1337,s2743,s957,s2900,s1769,s2770,s1407,s1608,s4119,s237,s1886]) ).
cnf(s4485,plain,
( spl0_142
| ~ spl0_98
| ~ spl0_69
| ~ spl0_102 ),
inference(rat,[],[s3164,s2149,s2606,s997]) ).
cnf(s4486,plain,
( spl0_342
| ~ spl0_59
| spl0_202
| ~ spl0_132
| ~ spl0_8 ),
inference(rat,[],[s3716,s4184,s3844,s3236,s3811,s1256]) ).
cnf(s4487,plain,
( ~ spl0_354
| spl0_318
| spl0_450
| spl0_29
| spl0_222
| spl0_336
| spl0_202
| ~ spl0_98
| ~ spl0_112
| ~ spl0_132
| spl0_22
| spl0_13
| spl0_11
| ~ spl0_45
| ~ spl0_8 ),
inference(rat,[],[s2795,s959,s958,s2824,s4249,s2665,s1286,s3614,s3322,s1842,s3983,s4118,s1079,s3555,s2605,s4486,s4269,s1152,s1766,s3918,s3708,s1986,s3117,s1901,s3036,s957,s3538,s4048,s3691,s33,s250,s4058,s237,s1725,s1213,s1256,s1886]) ).
cnf(s4488,plain,
( spl0_342
| spl0_59
| ~ spl0_6
| spl0_222
| spl0_202
| ~ spl0_69
| spl0_13 ),
inference(rat,[],[s3966,s1219,s3844,s3163,s3811,s1256]) ).
cnf(s4489,plain,
( ~ spl0_342
| ~ spl0_6
| ~ spl0_131
| ~ spl0_143
| spl0_354
| spl0_29
| spl0_306
| spl0_21
| ~ spl0_98
| ~ spl0_30
| ~ spl0_45 ),
inference(rat,[],[s4249,s958,s1286,s3249,s3322,s3621,s3983,s4118,s1079,s3555,s2605,s2987,s237,s1213]) ).
cnf(s4490,plain,
( ~ spl0_80
| spl0_336
| ~ spl0_118
| ~ spl0_295
| spl0_202
| spl0_57
| spl0_21
| ~ spl0_98
| ~ spl0_69
| ~ spl0_132
| ~ spl0_30
| spl0_13
| spl0_83
| spl0_11
| ~ spl0_45
| ~ spl0_8 ),
inference(rat,[],[s4488,s4486,s4489,s1766,s1803,s2430,s3327,s4269,s4181,s4487,s4058,s1750,s3925,s2681,s705,s8,s2987,s4049,s3692,s3077,s2525,s4108,s250,s1901,s3036,s1256,s1886,s400]) ).
cnf(s4491,plain,
( ~ spl0_84
| ~ spl0_30
| ~ spl0_42
| spl0_18
| spl0_13
| ~ spl0_70
| spl0_11
| ~ spl0_45
| ~ spl0_8 ),
inference(rat,[],[s4459,s4120,s4490,s3318,s4484,s1407,s3710,s4485,s2999,s4483,s3618,s3651,s2138,s2467,s2180,s719,s4049,s4445,s532,s3692,s4108,s2250,s3077,s250,s1429,s4409,s1168,s2525,s266,s2972,s2987,s400]) ).
cnf(s4496,plain,
( ~ spl0_63
| ~ spl0_318
| ~ spl0_336
| spl0_427
| ~ spl0_80
| spl0_84
| ~ spl0_70 ),
inference(rat,[],[s3855,s2394,s957,s4070,s2599,s2500,s275,s237]) ).
cnf(s4497,plain,
( spl0_342
| spl0_240
| spl0_295
| ~ spl0_316
| spl0_189
| spl0_97
| ~ spl0_42
| ~ spl0_70
| ~ spl0_101 ),
inference(rat,[],[s3905,s3715,s1641,s958,s1079,s1272,s3261,s3811,s237,s1256]) ).
cnf(s4498,plain,
( ~ spl0_336
| spl0_59
| ~ spl0_98
| spl0_97
| spl0_104
| spl0_57
| spl0_427
| spl0_131
| spl0_84
| ~ spl0_42
| spl0_13
| ~ spl0_70
| ~ spl0_101
| ~ spl0_45 ),
inference(rat,[],[s2665,s4175,s3103,s3966,s3262,s1079,s2605,s1810,s4497,s1341,s4070,s2149,s997,s2836,s4496,s2544,s3117,s4086,s3867,s1621,s1725]) ).
cnf(s4499,plain,
( ~ spl0_68
| spl0_336
| spl0_136
| spl0_97
| spl0_57
| ~ spl0_14
| ~ spl0_89 ),
inference(rat,[],[s3327,s4058,s4181,s3135,s2430,s3659,s1096,s2799,s1337,s1886]) ).
cnf(s4500,plain,
( spl0_11
| spl0_3
| spl0_1 ),
inference(rat,[],[s4181,s3327,s1803,s3117,s4058,s4133,s1750,s4119,s4499,s4238,s4498,s3708,s532,s210,s4088,s2137,s2138,s2467,s1300,s3871,s719,s2184,s4188,s3415,s2119,s1937,s2713,s705,s3867,s4180,s1621,s4491,s2972,s18,s3964,s2978,s8,s14,s2936,s4480,s266,s4471,s2562,s33,s238,s4,s150,s4431,s1886,s1063,s237]) ).
cnf(s4501,plain,
( ~ spl0_118
| ~ spl0_23
| spl0_222
| ~ spl0_101 ),
inference(rat,[],[s2554,s997,s4058,s1948,s1750,s1886]) ).
cnf(s4502,plain,
( spl0_342
| ~ spl0_423
| ~ spl0_398
| ~ spl0_414
| spl0_448
| ~ spl0_156
| spl0_245
| ~ spl0_11 ),
inference(rat,[],[s3235,s1743,s1079,s1854,s3188,s958,s3332,s1725,s237]) ).
cnf(s4503,plain,
( ~ spl0_80
| ~ spl0_84
| ~ spl0_30
| ~ spl0_13
| spl0_70
| spl0_3
| spl0_1 ),
inference(rat,[],[s1784,s4114,s958,s3750,s3479,s2102,s4502,s3480,s2848,s4058,s3488,s957,s2900,s4207,s2770,s4223,s4269,s3599,s4179,s1634,s2003,s2117,s2606,s3598,s2568,s4396,s4501,s3974,s2855,s3077,s4256,s4074,s1297,s3999,s4010,s3422,s3222,s4108,s1937,s2713,s1509,s4431,s2923,s4,s2445,s2989,s2260,s2406,s706,s2217,s150,s715,s2016,s1673,s2017,s1602,s1267,s2184,s2180,s3564,s4500,s2987,s237,s1725,s1886,s1256,s400,s1063]) ).
cnf(s4504,plain,
( ~ spl0_336
| spl0_150
| ~ spl0_144
| ~ spl0_205
| spl0_25 ),
inference(rat,[],[s3662,s2732,s2729,s2191,s2214]) ).
cnf(s4506,plain,
( ~ spl0_322
| ~ spl0_23
| spl0_390
| spl0_118
| ~ spl0_60
| ~ spl0_414
| spl0_448
| ~ spl0_156
| ~ spl0_109
| spl0_190 ),
inference(rat,[],[s3332,s3587,s958,s2804,s3720,s1079,s1832,s2907,s237]) ).
cnf(s4507,plain,
( spl0_118
| spl0_120
| spl0_456
| ~ spl0_414
| ~ spl0_142
| spl0_448
| spl0_336
| ~ spl0_156
| ~ spl0_109
| spl0_190
| spl0_80
| ~ spl0_111
| ~ spl0_21
| spl0_222
| ~ spl0_11
| ~ spl0_101 ),
inference(rat,[],[s1842,s4118,s1641,s2591,s1079,s1980,s2665,s4506,s3657,s1134,s2977,s3556,s3586,s957,s3129,s3601,s1104,s2770,s251,s4108,s2444,s4120,s1213,s1725,s237,s400]) ).
cnf(s4508,plain,
( spl0_120
| spl0_456
| ~ spl0_414
| ~ spl0_142
| spl0_448
| spl0_336
| ~ spl0_156
| ~ spl0_109
| spl0_190
| spl0_80
| ~ spl0_111
| ~ spl0_21
| spl0_222
| ~ spl0_107
| ~ spl0_11
| ~ spl0_101
| ~ spl0_45 ),
inference(rat,[],[s4236,s4244,s4133,s957,s3490,s3556,s4058,s1750,s4507,s2430,s2444,s1365,s4120,s4108,s237,s1886,s400]) ).
cnf(s4509,plain,
( spl0_118
| spl0_318
| ~ spl0_414
| spl0_336
| ~ spl0_102
| spl0_80
| ~ spl0_30
| spl0_204 ),
inference(rat,[],[s3609,s4259,s4244,s3490,s957,s2434,s3524,s3394,s4101,s2606,s4058,s237,s1886]) ).
cnf(s4510,plain,
( ~ spl0_290
| spl0_318
| ~ spl0_414
| ~ spl0_108
| spl0_80
| spl0_90
| ~ spl0_205
| ~ spl0_21
| ~ spl0_13
| spl0_70
| spl0_39 ),
inference(rat,[],[s1980,s3384,s1079,s3323,s1302,s3998,s959,s70,s3508,s721,s1114,s1766,s2381,s2442,s3556,s2989,s1162,s4105,s2883,s3118,s2445,s2184,s2260,s2406,s706,s4058,s237,s1886,s1063]) ).
cnf(s4511,plain,
( ~ spl0_84
| ~ spl0_30
| ~ spl0_13
| spl0_70
| spl0_3
| spl0_1 ),
inference(rat,[],[s2832,s3512,s3998,s959,s4029,s70,s3510,s720,s721,s553,s1114,s1766,s1804,s2430,s3424,s4207,s4133,s4238,s4244,s957,s4510,s4509,s4058,s1134,s3657,s2172,s4508,s3339,s4179,s3662,s2729,s4269,s1634,s2606,s3598,s4504,s1162,s4256,s282,s4105,s1956,s2883,s4224,s129,s3653,s3118,s3497,s251,s2927,s4503,s2184,s2180,s238,s152,s4431,s2923,s4,s2445,s2260,s2406,s706,s2217,s150,s3564,s2987,s2519,s715,s2016,s1673,s2017,s1602,s4500,s237,s1886,s400,s1256,s1063]) ).
cnf(s4512,plain,
( spl0_84
| spl0_222
| spl0_70
| ~ spl0_5
| spl0_1 ),
inference(rat,[],[s3,s553,s4074,s2160,s2056,s4]) ).
cnf(s4513,plain,
( ~ spl0_354
| ~ spl0_7
| spl0_30
| spl0_95
| spl0_222
| spl0_129
| ~ spl0_101
| ~ spl0_45 ),
inference(rat,[],[s2554,s997,s4058,s4201,s1750,s3685,s1149,s4119,s1820,s2584,s3742,s18,s1886]) ).
cnf(s4514,plain,
( ~ spl0_80
| ~ spl0_13
| spl0_70
| spl0_3
| spl0_1 ),
inference(rat,[],[s1104,s2770,s2606,s3449,s2191,s3599,s4179,s4513,s4074,s4010,s4108,s1673,s1937,s2855,s1431,s2713,s1509,s254,s1168,s1267,s4113,s1585,s215,s4,s2882,s2372,s18,s4511,s4512,s152,s4431,s2260,s2406,s706,s2217,s4500,s150,s400]) ).
cnf(s4515,plain,
( spl0_342
| spl0_240
| spl0_118
| ~ spl0_331
| ~ spl0_7
| ~ spl0_84
| spl0_25 ),
inference(rat,[],[s3379,s959,s2665,s4075,s2908,s1079,s3261,s1349,s237,s1725]) ).
cnf(s4516,plain,
( spl0_120
| ~ spl0_336
| spl0_30
| ~ spl0_84
| ~ spl0_13
| spl0_70
| ~ spl0_11
| ~ spl0_101
| ~ spl0_45
| ~ spl0_8 ),
inference(rat,[],[s1413,s2905,s2650,s3588,s2686,s4515,s3026,s3318,s2191,s2741,s3351,s4179,s4513,s4010,s3422,s4108,s2134,s254,s2989,s4256,s2882,s2372,s18,s2184,s2857,s4113,s1585,s215,s2260,s2406,s706,s2217,s1267,s1474,s400,s1063,s237]) ).
cnf(s4517,plain,
( ~ spl0_308
| spl0_329
| ~ spl0_185
| ~ spl0_290
| ~ spl0_109
| ~ spl0_108
| ~ spl0_11 ),
inference(rat,[],[s2573,s1543,s959,s2665,s1302,s2907,s237,s1725]) ).
cnf(s4518,plain,
( spl0_342
| ~ spl0_6
| ~ spl0_185
| spl0_237
| spl0_425
| ~ spl0_290
| ~ spl0_336
| ~ spl0_109
| ~ spl0_108
| spl0_80
| spl0_106
| ~ spl0_84
| spl0_222
| ~ spl0_11 ),
inference(rat,[],[s958,s3255,s4185,s2317,s1862,s1219,s3235,s2716,s1079,s4517,s1349,s2085,s237,s1256]) ).
cnf(s4519,plain,
( ~ spl0_308
| ~ spl0_185
| ~ spl0_290
| ~ spl0_109
| ~ spl0_108
| ~ spl0_11
| ~ spl0_101
| ~ spl0_45 ),
inference(rat,[],[s2567,s4517,s1641]) ).
cnf(s4520,plain,
( ~ spl0_336
| ~ spl0_108
| spl0_80
| spl0_30
| ~ spl0_84
| ~ spl0_13
| spl0_70
| ~ spl0_11
| ~ spl0_101
| ~ spl0_45
| ~ spl0_8 ),
inference(rat,[],[s4072,s3857,s4053,s1286,s1219,s2716,s1079,s4519,s4518,s2429,s3,s2933,s4119,s4513,s3525,s1750,s715,s2732,s2072,s3556,s3107,s4504,s2191,s957,s2976,s3404,s2389,s4516,s3681,s2134,s2445,s254,s4256,s2381,s4102,s3653,s251,s2184,s4224,s2857,s4113,s1585,s215,s2260,s2406,s706,s2217,s1267,s1474,s1213,s1886,s1256,s237,s1063]) ).
cnf(s4522,plain,
( ~ spl0_118
| spl0_381
| spl0_336
| ~ spl0_102
| spl0_80
| spl0_106
| spl0_222
| ~ spl0_45 ),
inference(rat,[],[s4238,s4244,s4133,s957,s3490,s3556,s4058,s1750,s2606,s237,s1886]) ).
cnf(s4523,plain,
( ~ spl0_13
| spl0_70
| spl0_3
| spl0_1 ),
inference(rat,[],[s1104,s3490,s3599,s4058,s3129,s3488,s957,s3523,s2799,s4119,s4522,s1805,s1149,s2760,s4179,s3742,s1821,s2606,s3598,s4520,s129,s3497,s4514,s2248,s2381,s2857,s4256,s4113,s18,s4102,s4511,s1267,s4512,s1585,s215,s2260,s2406,s706,s4,s152,s4431,s1474,s2217,s4500,s150,s2445,s1886,s237,s400,s1063]) ).
cnf(s4526,plain,
( ~ spl0_84
| ~ spl0_21
| ~ spl0_30
| spl0_18
| spl0_13
| ~ spl0_45 ),
inference(rat,[],[s4416,s250,s3422,s2184,s4459,s2180,s2989,s3050,s163,s1063,s237]) ).
cnf(s4527,plain,
( spl0_70
| spl0_3
| spl0_1 ),
inference(rat,[],[s2225,s2547,s4417,s721,s4010,s3,s4074,s3413,s3867,s2056,s4180,s290,s1621,s4526,s10,s2989,s715,s163,s2016,s3564,s1602,s2987,s18,s2978,s8,s14,s4523,s238,s4,s150,s4431,s4500,s400,s237]) ).
cnf(s4528,plain,
( ~ spl0_237
| spl0_118
| ~ spl0_336
| ~ spl0_60
| spl0_25
| ~ spl0_388
| spl0_129
| ~ spl0_70
| ~ spl0_11
| ~ spl0_8 ),
inference(rat,[],[s4422,s2856,s4256,s2373,s4052,s1297,s3003,s2770,s4061,s3290,s2184,s3164,s719,s2250,s715,s1063]) ).
cnf(s4529,plain,
( spl0_90
| spl0_118
| ~ spl0_60
| spl0_25
| spl0_84
| spl0_129
| ~ spl0_70
| ~ spl0_8 ),
inference(rat,[],[s4422,s2856,s4256,s2373,s3435,s1297,s3003,s4188,s4061,s3290,s2184,s1621,s1063]) ).
cnf(s4530,plain,
( ~ spl0_404
| ~ spl0_156
| spl0_189
| spl0_227
| spl0_95
| ~ spl0_70 ),
inference(rat,[],[s1494,s1815,s1820]) ).
cnf(s4531,plain,
( spl0_112
| spl0_189
| spl0_118
| ~ spl0_336
| spl0_30
| spl0_227
| ~ spl0_60
| spl0_95
| spl0_129
| ~ spl0_70 ),
inference(rat,[],[s2900,s957,s1769,s2770,s2743,s1915,s2699,s4179,s3742,s4530,s2856,s4256,s237,s400,s1063]) ).
cnf(s4532,plain,
( spl0_118
| ~ spl0_336
| ~ spl0_13
| spl0_3
| spl0_1 ),
inference(rat,[],[s2797,s2741,s957,s3742,s2900,s1815,s1769,s2770,s1513,s3215,s4269,s2125,s2691,s1503,s4531,s4529,s2544,s4058,s4112,s2085,s4528,s2660,s238,s254,s1621,s4428,s215,s2528,s4,s1602,s4421,s4108,s1937,s2713,s4429,s2260,s2406,s706,s2217,s150,s4527,s4500,s237,s1256,s1886,s400]) ).
cnf(s4533,plain,
( ~ spl0_336
| ~ spl0_13
| spl0_3
| spl0_1 ),
inference(rat,[],[s4201,s1149,s997,s1820,s2554,s3742,s4058,s3351,s1750,s3318,s3685,s4532,s4431,s254,s215,s4,s1602,s4421,s4108,s1937,s2713,s4429,s2260,s2406,s706,s2217,s150,s4527,s4500,s1886,s400]) ).
cnf(s4534,plain,
( spl0_342
| ~ spl0_203
| ~ spl0_128
| spl0_30
| spl0_95 ),
inference(rat,[],[s3953,s3167,s3846,s1278,s3811,s1256]) ).
cnf(s4535,plain,
( spl0_118
| ~ spl0_13
| spl0_3
| spl0_1 ),
inference(rat,[],[s959,s3132,s2715,s3262,s1079,s1810,s4068,s4534,s2836,s1403,s1673,s1470,s2806,s4088,s2856,s4256,s2606,s4100,s4074,s4006,s4529,s4119,s254,s4180,s4428,s18,s3742,s1821,s4533,s215,s4,s1602,s4421,s4108,s1937,s2713,s4429,s2260,s2406,s706,s2217,s150,s4527,s4500,s237,s1063,s1886,s400]) ).
cnf(s4537,plain,
( ~ spl0_292
| ~ spl0_322
| spl0_398
| spl0_381
| ~ spl0_183
| spl0_222 ),
inference(rat,[],[s2911,s1842,s2846,s3494]) ).
cnf(s4538,plain,
( ~ spl0_342
| ~ spl0_138
| ~ spl0_6
| spl0_398
| spl0_381
| ~ spl0_183
| spl0_336
| spl0_30
| spl0_227
| spl0_427
| spl0_84
| ~ spl0_13
| spl0_39 ),
inference(rat,[],[s1443,s958,s3953,s4537,s2665,s2113,s2358,s2700,s2707,s706,s237,s1725,s1256]) ).
cnf(s4539,plain,
( spl0_307
| ~ spl0_6
| spl0_398
| spl0_381
| ~ spl0_183
| spl0_336
| spl0_30
| spl0_95
| ~ spl0_13
| spl0_39 ),
inference(rat,[],[s958,s1443,s4537,s3953,s2665,s3167,s706,s237,s1725]) ).
cnf(s4540,plain,
( ~ spl0_13
| spl0_3
| spl0_1 ),
inference(rat,[],[s2706,s2358,s2567,s2113,s1543,s4539,s2493,s4538,s2532,s4049,s3,s2848,s4100,s1795,s4256,s1153,s2806,s1803,s4058,s1403,s1692,s4133,s1750,s2388,s4535,s957,s1448,s3855,s3742,s1914,s1821,s1337,s4533,s18,s1602,s4421,s2528,s2119,s4108,s215,s1937,s2260,s4180,s2713,s2406,s4428,s706,s4429,s4,s2134,s2217,s150,s1508,s4527,s4500,s1256,s1063,s1886,s237,s400]) ).
cnf(s4541,plain,
( spl0_3
| spl0_1 ),
inference(rat,[],[s1937,s2713,s3422,s705,s2184,s3867,s719,s1621,s2989,s715,s4526,s163,s2016,s3564,s1602,s2987,s18,s2978,s14,s4540,s266,s4527,s4500,s4431,s150,s238,s1063,s237]) ).
cnf(s4542,plain,
( ~ spl0_30
| ~ spl0_45
| spl0_11
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s3085,s2260,s4065,s2406,s3,s3699,s255,s2519,s4,s4541]) ).
cnf(s4543,plain,
( spl0_102
| spl0_11
| spl0_70
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s28,s259,s3497,s3,s4131,s4104,s129,s4074,s2972,s4,s2445,s1678,s33]) ).
cnf(s4544,plain,
( spl0_11
| spl0_70
| spl0_1
| ~ spl0_13 ),
inference(rat,[],[s4542,s3734,s2967,s4543]) ).
cnf(s4545,plain,
( ~ spl0_45
| spl0_70
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s4224,s3497,s3972,s2713,s250,s1937,s4108,s4010,s4065,s3514,s3085,s2260,s4512,s2406,s706,s152,s2217,s4419,s254,s4,s4541,s2445,s4544,s400]) ).
cnf(s4546,plain,
( ~ spl0_36
| ~ spl0_205
| spl0_153
| spl0_90
| ~ spl0_145
| spl0_102
| spl0_70 ),
inference(rat,[],[s4255,s2843,s2665,s3072,s2195,s118,s2080,s2157,s3078,s1725]) ).
cnf(s4547,plain,
( spl0_118
| ~ spl0_132
| ~ spl0_144
| ~ spl0_205
| spl0_153
| spl0_90
| spl0_7
| ~ spl0_8 ),
inference(rat,[],[s2125,s2691,s1407,s1504,s4207,s2732,s1381,s4269,s2191,s2214,s4006,s4119,s1256,s1886]) ).
cnf(s4548,plain,
( ~ spl0_118
| spl0_156
| ~ spl0_114
| ~ spl0_134
| ~ spl0_145 ),
inference(rat,[],[s4204,s1795,s1684,s2018,s1063,s400]) ).
cnf(s4549,plain,
( spl0_342
| spl0_318
| ~ spl0_375
| ~ spl0_222
| ~ spl0_430
| ~ spl0_80
| spl0_54 ),
inference(rat,[],[s3132,s2441,s959,s3196,s2877,s3916,s237]) ).
cnf(s4550,plain,
( spl0_70
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s3072,s1178,s2665,s3372,s4252,s3405,s4549,s2253,s1305,s957,s4207,s4265,s1381,s4269,s4188,s2214,s4416,s4006,s4547,s4119,s4548,s2371,s136,s2989,s10,s721,s4546,s1673,s715,s2017,s2016,s1602,s4113,s1585,s2254,s3048,s2015,s2184,s2176,s1297,s206,s265,s259,s705,s706,s2713,s1937,s2232,s1926,s2547,s4108,s3497,s4010,s3,s129,s4074,s2967,s4545,s4544,s2445,s2923,s4,s3721,s4541,s1725,s237,s1256,s1886,s1063,s400]) ).
cnf(s4551,plain,
( ~ spl0_45
| spl0_11
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s3,s101,s4074,s3867,s3734,s1621,s266,s4542,s4478,s4415,s4,s4550]) ).
cnf(s4552,plain,
( ~ spl0_84
| ~ spl0_60
| ~ spl0_21
| ~ spl0_30
| ~ spl0_160
| ~ spl0_114
| spl0_4
| spl0_7
| spl0_170
| ~ spl0_70
| spl0_1 ),
inference(rat,[],[s3432,s1130,s1407,s3164,s4207,s1378,s1684,s4413,s2254,s2250,s4052,s2184,s3077,s1429,s2180,s4409,s1168,s4,s4541,s400,s1063]) ).
cnf(s4553,plain,
( spl0_120
| ~ spl0_30
| spl0_11
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s265,s2184,s101,s4188,s3217,s4552,s3415,s4108,s4541,s4550,s2562,s155,s136,s143,s3,s240,s321,s706,s2406,s2260,s33,s2972,s3562,s2999,s4013,s4074,s2967,s4551,s4,s1063,s400]) ).
cnf(s4554,plain,
( ~ spl0_30
| spl0_11
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s3637,s2298,s4269,s4204,s1795,s3164,s2250,s3336,s1429,s4006,s1168,s4119,s4188,s4548,s2522,s206,s2371,s2370,s2184,s249,s252,s4553,s2999,s4550,s2525,s33,s136,s4013,s143,s3,s4074,s2967,s4551,s4,s240,s1256,s1063,s1886]) ).
cnf(s4555,plain,
( spl0_90
| ~ spl0_84
| ~ spl0_60
| spl0_153
| spl0_16
| ~ spl0_17
| ~ spl0_114
| spl0_7
| spl0_170
| ~ spl0_70
| ~ spl0_8 ),
inference(rat,[],[s1407,s4207,s3952,s1378,s1684,s4413,s4052,s4409,s400]) ).
cnf(s4556,plain,
( ~ spl0_84
| ~ spl0_60
| spl0_11
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s4254,s4287,s959,s3588,s1707,s2303,s3998,s2205,s2316,s563,s114,s113,s1818,s3742,s2219,s2496,s1130,s4058,s3424,s1407,s3952,s1804,s1146,s1684,s4413,s2927,s101,s265,s4555,s1429,s4409,s1168,s238,s4550,s2562,s136,s143,s3,s240,s321,s706,s2406,s2260,s4013,s4074,s33,s2972,s2967,s4551,s4102,s4,s1578,s3428,s3342,s18,s4554,s237,s1256,s400,s1886]) ).
cnf(s4557,plain,
( spl0_120
| spl0_11
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s265,s2184,s101,s4188,s3217,s4556,s3415,s4108,s4541,s2562,s155,s3,s4074,s2967,s4551,s4,s1063,s400]) ).
cnf(s4558,plain,
( spl0_11
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s3113,s3912,s1810,s2832,s2435,s959,s2316,s2303,s3163,s345,s3033,s101,s306,s322,s2415,s1931,s3263,s957,s2439,s2743,s4269,s1608,s4204,s2416,s1795,s3961,s3164,s3807,s4006,s4119,s4548,s206,s2371,s2370,s2250,s249,s1429,s2172,s1168,s2203,s3343,s1752,s2248,s2184,s2712,s252,s1937,s4557,s1578,s18,s3428,s4554,s321,s706,s2406,s136,s2260,s143,s4013,s3,s4074,s2972,s2967,s4551,s33,s240,s4,s4541,s4550,s237,s1886,s1256,s1063]) ).
cnf(s4559,plain,
( spl0_342
| spl0_310
| spl0_189
| spl0_295
| ~ spl0_69
| ~ spl0_70 ),
inference(rat,[],[s958,s4154,s1272,s3163,s3811,s1337,s3164,s237,s1256]) ).
cnf(s4560,plain,
( ~ spl0_114
| ~ spl0_118
| spl0_102
| spl0_90
| ~ spl0_112
| ~ spl0_84
| ~ spl0_60
| ~ spl0_70 ),
inference(rat,[],[s4287,s4253,s3588,s2686,s4559,s207,s1328,s1451,s3164,s1609,s4133,s957,s4207,s3410,s1378,s1684,s2250,s1429,s1168,s4052,s1503,s3151,s2254,s2184,s237,s400,s1063]) ).
cnf(s4561,plain,
( ~ spl0_25
| spl0_114
| ~ spl0_13 ),
inference(rat,[],[s136,s141]) ).
cnf(s4562,plain,
( ~ spl0_84
| spl0_120
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s1297,s4061,s3290,s4561,s4560,s4413,s4052,s2967,s719,s2217,s715,s706,s1503,s1429,s4420,s4406,s1168,s4,s4550,s4558,s269,s3543,s4541,s4108,s400]) ).
cnf(s4564,plain,
( spl0_342
| spl0_295
| ~ spl0_414
| spl0_222
| spl0_240
| ~ spl0_136
| spl0_4
| spl0_245
| ~ spl0_3 ),
inference(rat,[],[s2745,s3188,s4069,s958,s959,s4043,s4272,s2754,s1842,s1393,s3346,s1079,s3261,s237]) ).
cnf(s4565,plain,
( spl0_118
| spl0_90
| spl0_120
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s3221,s1990,s4076,s958,s1538,s4185,s2650,s2787,s2686,s4564,s1492,s1918,s957,s2598,s4182,s1830,s1478,s4179,s1504,s2526,s4529,s4119,s1508,s4220,s290,s3435,s4188,s2184,s706,s3290,s4061,s2260,s2409,s1162,s259,s4111,s3219,s238,s4,s2984,s18,s1602,s2391,s4410,s4550,s4558,s4256,s2190,s3268,s4049,s4108,s1621,s4541,s4562,s237,s400,s1886,s1063]) ).
cnf(s4566,plain,
( spl0_90
| spl0_120
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s3414,s1337,s1327,s3318,s1149,s2078,s1478,s2760,s4179,s3432,s2042,s4058,s2053,s1750,s3276,s4565,s3343,s18,s1602,s2391,s706,s4410,s259,s4256,s2190,s3268,s3003,s4049,s2184,s4541,s1473,s4550,s4558,s4108,s1621,s4111,s3219,s238,s4,s4220,s290,s4562,s400,s1886,s1063]) ).
cnf(s4568,plain,
( spl0_295
| ~ spl0_128
| ~ spl0_156
| spl0_335
| spl0_95
| spl0_30
| ~ spl0_90 ),
inference(rat,[],[s3742,s2732,s1820,s1915,s1635]) ).
cnf(s4569,plain,
( spl0_112
| spl0_118
| spl0_120
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s3346,s1219,s1538,s3328,s2699,s4179,s2764,s967,s3742,s957,s1815,s1913,s4568,s958,s3953,s4185,s2700,s2787,s4534,s1470,s4088,s2857,s4256,s1473,s553,s705,s265,s2,s4220,s290,s3,s1602,s2016,s215,s2528,s39,s1752,s1300,s4111,s4562,s3219,s238,s2624,s2085,s4006,s4119,s4,s269,s3543,s4541,s4108,s715,s719,s4566,s4550,s4558,s400,s237,s1063,s1886]) ).
cnf(s4570,plain,
( spl0_342
| spl0_240
| spl0_295
| ~ spl0_438
| spl0_335
| ~ spl0_17
| ~ spl0_90
| ~ spl0_3 ),
inference(rat,[],[s2398,s958,s1412,s1528,s3261,s3811,s237,s1256]) ).
cnf(s4571,plain,
( spl0_118
| spl0_120
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s2911,s3265,s2665,s1531,s1507,s4175,s958,s3953,s4185,s2700,s2787,s4570,s3215,s3637,s1341,s1513,s4070,s2397,s3662,s4181,s2575,s957,s2933,s1909,s2748,s4105,s210,s4569,s2973,s2085,s2624,s4006,s4119,s269,s3543,s4108,s2528,s39,s1752,s1300,s4111,s3219,s238,s4,s2984,s18,s1602,s2016,s715,s719,s4566,s4550,s4558,s4541,s4562,s1725,s237,s1886,s400]) ).
cnf(s4572,plain,
( spl0_120
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s1327,s3414,s1152,s1337,s4058,s1749,s1750,s4571,s3514,s39,s1752,s705,s2681,s1300,s265,s4566,s4111,s4562,s3,s269,s3543,s3219,s4108,s238,s4,s4541,s4550,s4558,s1886,s400]) ).
cnf(s4573,plain,
( ~ spl0_60
| spl0_7
| spl0_102
| ~ spl0_112
| ~ spl0_84
| spl0_90
| ~ spl0_70
| ~ spl0_13
| ~ spl0_8 ),
inference(rat,[],[s1297,s4061,s3290,s4561,s4560,s4413,s4052,s1503]) ).
cnf(s4574,plain,
( ~ spl0_336
| ~ spl0_69
| ~ spl0_205
| spl0_153
| spl0_90 ),
inference(rat,[],[s4207,s1381,s4269,s3164,s2214,s1256]) ).
cnf(s4575,plain,
( ~ spl0_84
| spl0_90
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s957,s4265,s3754,s2565,s3687,s3729,s1750,s1134,s4058,s3414,s4119,s1328,s4006,s1337,s4574,s2547,s4573,s4074,s2967,s3154,s2250,s715,s250,s2254,s1429,s4409,s4406,s1168,s4,s4550,s4558,s4572,s2184,s237,s1886,s400,s1063]) ).
cnf(s4576,plain,
( spl0_90
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s1795,s3416,s2018,s4119,s4006,s1337,s2806,s4574,s1673,s2250,s715,s2017,s2016,s2232,s1602,s2547,s18,s4049,s209,s3268,s4074,s2254,s206,s210,s2967,s259,s266,s706,s705,s2713,s3217,s4220,s4188,s290,s4575,s2184,s4,s4541,s4550,s4558,s1937,s4572,s1063,s1886,s400]) ).
cnf(s4577,plain,
( ~ spl0_13
| spl0_1 ),
inference(rat,[],[s1168,s3217,s1429,s45,s715,s2711,s1300,s719,s4576,s1752,s2712,s1937,s4572,s4558,s4550,s4541]) ).
cnf(s4578,plain,
( spl0_70
| spl0_90
| spl0_11
| spl0_1 ),
inference(rat,[],[s3543,s532,s250,s3892,s2055,s2261,s2999,s3514,s4224,s4459,s4134,s2056,s2445,s3721,s4541,s3032,s18,s2978,s4359,s2967,s2972,s3964,s33,s4577,s2184,s1063]) ).
cnf(s4579,plain,
( spl0_90
| spl0_11
| spl0_1 ),
inference(rat,[],[s2713,s1937,s705,s3415,s3867,s4188,s1621,s4491,s266,s4578,s2184,s14,s238,s2562,s4,s18,s2978,s4359,s2967,s2972,s3964,s33,s4577,s1063]) ).
cnf(s4580,plain,
( ~ spl0_84
| spl0_11
| spl0_1 ),
inference(rat,[],[s4416,s250,s3543,s532,s3892,s2142,s4459,s3721,s4541,s18,s2978,s4359,s2967,s2972,s3964,s33,s4577,s4579]) ).
cnf(s4581,plain,
( spl0_11
| spl0_1 ),
inference(rat,[],[s3543,s532,s1937,s4082,s2713,s2138,s705,s719,s266,s3867,s2056,s1621,s4580,s4579,s2967,s18,s2972,s2978,s3964,s4359,s33,s4541,s4577]) ).
cnf(s4582,plain,
( ~ spl0_84
| spl0_70
| spl0_90
| spl0_1 ),
inference(rat,[],[s2253,s4058,s957,s3932,s1805,s4265,s4269,s2214,s4006,s4119,s4548,s2371,s3296,s2989,s10,s1114,s721,s4546,s2254,s206,s705,s3077,s2713,s2232,s2172,s4416,s1937,s2547,s4108,s4010,s3,s4074,s2967,s4526,s4459,s3721,s4541,s2939,s14,s238,s2015,s3036,s3564,s2987,s715,s2016,s1602,s4109,s3210,s2445,s2184,s2923,s4,s4577,s4581,s1886,s237,s1256,s400,s1063]) ).
cnf(s4583,plain,
( ~ spl0_19
| spl0_70
| spl0_90
| spl0_1 ),
inference(rat,[],[s721,s4546,s10,s3654,s14,s238,s715,s2016,s1602,s4109,s3210,s2445,s2923,s4581,s3,s4074,s2056,s4,s2232,s2547,s3999,s1729,s3222,s3268,s3090,s4577,s2184,s3217,s4220,s290,s4582,s4541,s1063,s400]) ).
cnf(s4584,plain,
( spl0_70
| spl0_90
| spl0_1 ),
inference(rat,[],[s2253,s4058,s957,s3932,s1805,s4265,s4269,s2214,s1114,s4006,s721,s4119,s4546,s4548,s2254,s206,s2371,s2370,s3296,s2999,s2989,s4583,s705,s2232,s4512,s2547,s3,s3217,s2,s3222,s3999,s4074,s4220,s3268,s1729,s2056,s290,s4582,s715,s2016,s1602,s4109,s3210,s2015,s2445,s2923,s2939,s3090,s4541,s3036,s4577,s4,s4581,s2184,s1886,s237,s1256,s400,s1063]) ).
cnf(s4585,plain,
( spl0_307
| ~ spl0_342
| spl0_153
| spl0_90 ),
inference(rat,[],[s4255,s2843,s2665,s1725]) ).
cnf(s4586,plain,
( ~ spl0_84
| spl0_90
| spl0_1 ),
inference(rat,[],[s4067,s959,s1178,s2576,s3072,s4585,s1354,s2080,s2149,s3078,s997,s721,s3595,s10,s2760,s4181,s2989,s3946,s3296,s1149,s3606,s1684,s4269,s957,s4207,s2253,s2018,s4058,s4119,s3414,s4006,s3,s1328,s4074,s705,s2967,s2713,s2232,s1901,s1337,s250,s2172,s1937,s2547,s4574,s3222,s4049,s2250,s715,s2254,s3693,s3692,s2524,s1429,s4409,s4406,s1168,s14,s238,s3090,s3036,s4,s56,s4577,s3721,s4541,s1474,s4581,s2184,s4584,s237,s400,s1256,s1886,s1063]) ).
cnf(s4587,plain,
( spl0_112
| ~ spl0_242
| ~ spl0_70
| ~ spl0_11 ),
inference(rat,[],[s2391,s4410,s4256,s1063]) ).
cnf(s4588,plain,
( spl0_90
| spl0_1 ),
inference(rat,[],[s3855,s957,s1753,s2253,s2018,s4058,s4119,s3414,s4006,s1328,s1337,s4574,s2254,s4587,s4074,s2967,s266,s2250,s715,s705,s2016,s2713,s2232,s1602,s1937,s2547,s3217,s87,s3222,s4049,s4220,s3268,s290,s4586,s4584,s2184,s4,s3090,s4577,s4541,s4581,s237,s1886,s400,s1063]) ).
cnf(s4589,plain,
( ~ spl0_84
| spl0_1 ),
inference(rat,[],[s4220,s87,s3429,s3564,s2180,s2203,s4541,s4577,s4581,s4588]) ).
cnf(s4590,plain,
( ~ spl0_19
| spl0_70
| spl0_1 ),
inference(rat,[],[s3174,s958,s3103,s3729,s4249,s2665,s4058,s1381,s4269,s3072,s3327,s1634,s2195,s1803,s2768,s1810,s118,s2018,s2080,s2157,s2229,s3078,s721,s10,s3654,s14,s238,s8,s1621,s4180,s3564,s2987,s715,s2016,s1602,s87,s4577,s4581,s3413,s3,s4074,s2056,s4,s4512,s2,s2232,s2547,s4108,s3999,s1729,s3217,s4220,s290,s4589,s4541,s237,s1725,s1886,s1256,s400]) ).
cnf(s4591,plain,
( spl0_70
| spl0_1 ),
inference(rat,[],[s3296,s2999,s2989,s4590,s252,s4108,s3999,s4581,s4588,s1729,s87,s4220,s290,s4589,s4577,s4541,s237,s400]) ).
cnf(s4592,plain,
spl0_1,
inference(rat,[],[s719,s4591,s715,s2016,s1602,s87,s4220,s290,s4589,s4588,s4581,s4577,s4541]) ).
cnf(s4593,plain,
( spl0_11
| spl0_70
| spl0_90
| ~ spl0_13 ),
inference(rat,[],[s3514,s150,s4561,s2466,s1600,s2987,s3734,s4224,s129,s4134,s2184,s2445,s4592,s1063]) ).
cnf(s4594,plain,
( spl0_118
| spl0_25
| spl0_204
| ~ spl0_121
| spl0_49
| spl0_96
| ~ spl0_84
| spl0_45
| ~ spl0_13 ),
inference(rat,[],[s2431,s1609,s3263,s4269,s1674,s3807,s1866,s2874,s4119,s37,s4592,s1256,s1886]) ).
cnf(s4596,plain,
( ~ spl0_118
| ~ spl0_318
| spl0_30
| spl0_74
| spl0_95
| ~ spl0_13 ),
inference(rat,[],[s1820,s3742,s2565,s2798,s3729,s1750,s3276,s1134]) ).
cnf(s4598,plain,
( spl0_25
| ~ spl0_84
| spl0_70
| spl0_90
| ~ spl0_13 ),
inference(rat,[],[s3856,s957,s3318,s1432,s3351,s1403,s3742,s1819,s4596,s4224,s4594,s3290,s3514,s1500,s150,s3118,s310,s4164,s3081,s1431,s1168,s1673,s1629,s37,s2134,s2390,s1613,s4113,s1602,s2016,s718,s4593,s1585,s3048,s2445,s2184,s237,s1063,s4592]) ).
cnf(s4599,plain,
( spl0_118
| ~ spl0_113
| ~ spl0_114
| spl0_49
| spl0_96
| spl0_45 ),
inference(rat,[],[s2439,s3263,s1088,s4269,s3807,s1866,s4119,s4165,s37,s1256,s1886]) ).
cnf(s4602,plain,
( spl0_342
| ~ spl0_310
| ~ spl0_101
| ~ spl0_414
| spl0_448
| ~ spl0_33
| spl0_240
| ~ spl0_156
| ~ spl0_11
| ~ spl0_13 ),
inference(rat,[],[s2105,s2048,s1641,s958,s1079,s3332,s3261,s18,s1602,s2016,s718,s237,s4592]) ).
cnf(s4603,plain,
( ~ spl0_84
| spl0_70
| spl0_90
| ~ spl0_13 ),
inference(rat,[],[s959,s2715,s3585,s3711,s1571,s4161,s2104,s2102,s1844,s4602,s1153,s3421,s4207,s3551,s2606,s126,s129,s3856,s1337,s2741,s4179,s957,s3742,s1432,s1819,s4058,s1684,s1404,s3165,s4596,s3276,s4599,s1752,s136,s39,s3082,s4598,s2172,s2547,s4108,s3800,s1618,s3081,s3118,s1431,s1168,s1500,s1673,s150,s37,s2134,s2390,s4256,s2976,s4113,s1602,s2016,s718,s1585,s3048,s2445,s2184,s4593,s1629,s237,s1725,s400,s1886,s4592,s1063]) ).
cnf(s4606,plain,
( spl0_342
| spl0_33
| ~ spl0_414
| ~ spl0_318
| ~ spl0_423
| ~ spl0_136
| ~ spl0_48
| spl0_108
| spl0_240
| spl0_74
| ~ spl0_107 ),
inference(rat,[],[s4148,s3208,s1843,s2069,s1517,s2731,s958,s1393,s3188,s1079,s3261,s1256,s237]) ).
cnf(s4607,plain,
( spl0_118
| ~ spl0_136
| spl0_101
| spl0_49
| ~ spl0_4
| spl0_96
| spl0_108
| ~ spl0_388
| spl0_240
| ~ spl0_11
| spl0_70
| ~ spl0_13 ),
inference(rat,[],[s4064,s1178,s1355,s1843,s1842,s1845,s4606,s1752,s4179,s2439,s2285,s1137,s997,s3729,s2083,s2565,s3263,s159,s4269,s3213,s3807,s25,s1866,s4119,s2229,s2445,s1500,s4163,s3758,s150,s4165,s37,s2134,s2390,s718,s400,s1256,s1886,s4592]) ).
cnf(s4608,plain,
( ~ spl0_336
| ~ spl0_183
| spl0_27
| ~ spl0_120
| ~ spl0_388
| ~ spl0_156
| ~ spl0_11
| ~ spl0_13 ),
inference(rat,[],[s957,s3324,s3404,s2085,s718,s237,s4592]) ).
cnf(s4609,plain,
( spl0_25
| ~ spl0_4
| spl0_96
| ~ spl0_120
| spl0_108
| ~ spl0_16
| ~ spl0_388
| ~ spl0_11
| spl0_95
| spl0_70
| ~ spl0_13 ),
inference(rat,[],[s1448,s3129,s4133,s957,s4142,s3856,s1337,s4608,s4179,s2042,s2876,s4058,s2053,s4596,s4607,s2374,s2372,s150,s2134,s2390,s18,s4256,s2976,s1629,s3081,s2445,s3867,s4054,s253,s1500,s4113,s1602,s2016,s718,s1585,s237,s400,s1886,s4592,s1063]) ).
cnf(s4610,plain,
( spl0_342
| spl0_394
| ~ spl0_27
| spl0_142
| ~ spl0_414
| spl0_448
| ~ spl0_114
| spl0_240
| ~ spl0_156 ),
inference(rat,[],[s1765,s4185,s2591,s958,s1079,s3332,s3261,s237]) ).
cnf(s4611,plain,
( ~ spl0_336
| ~ spl0_414
| ~ spl0_183
| ~ spl0_143
| spl0_448
| ~ spl0_114
| ~ spl0_4
| ~ spl0_120
| spl0_84
| spl0_240
| ~ spl0_156
| ~ spl0_11
| ~ spl0_107
| ~ spl0_111
| ~ spl0_13 ),
inference(rat,[],[s3328,s958,s1178,s4185,s3373,s1761,s4287,s1845,s4610,s3283,s1970,s3855,s957,s4608,s3404,s2085,s718,s1621,s237,s4592]) ).
cnf(s4612,plain,
( spl0_70
| spl0_90
| ~ spl0_13 ),
inference(rat,[],[s1448,s3129,s4133,s957,s4142,s3856,s1337,s4611,s4179,s1605,s2876,s4058,s1146,s1684,s4596,s3276,s4599,s1752,s136,s39,s4609,s3867,s3081,s3217,s3118,s4054,s253,s2547,s4108,s3999,s129,s3343,s1729,s2056,s1621,s4603,s2976,s4256,s4113,s18,s3428,s150,s1602,s2134,s2016,s2390,s718,s1500,s4593,s1585,s3048,s2445,s1629,s2184,s237,s400,s1886,s1063,s4592]) ).
cnf(s4613,plain,
( spl0_25
| spl0_80
| ~ spl0_132
| spl0_11
| spl0_90 ),
inference(rat,[],[s18,s2248,s3077,s2428,s4105,s3605,s2925,s3653,s251,s2184,s1063]) ).
cnf(s4614,plain,
( spl0_295
| ~ spl0_128
| spl0_42
| ~ spl0_69
| ~ spl0_41 ),
inference(rat,[],[s3820,s2732,s3164,s1915]) ).
cnf(s4615,plain,
( ~ spl0_295
| spl0_153
| ~ spl0_114
| spl0_190
| ~ spl0_60
| spl0_90 ),
inference(rat,[],[s4207,s1385,s1684,s2769,s2770,s400]) ).
cnf(s4616,plain,
( ~ spl0_84
| spl0_11
| spl0_90
| ~ spl0_13 ),
inference(rat,[],[s1281,s4585,s3588,s4559,s1328,s3164,s1609,s4615,s3342,s18,s3734,s1600,s136,s141,s4613,s2927,s1654,s4108,s2343,s717,s2250,s1429,s4409,s1168,s4612,s4592,s400]) ).
cnf(s4617,plain,
( ~ spl0_80
| ~ spl0_63
| ~ spl0_70 ),
inference(rat,[],[s275,s272,s4592]) ).
cnf(s4618,plain,
( ~ spl0_60
| spl0_80
| ~ spl0_3
| spl0_84 ),
inference(rat,[],[s278,s2854,s3603,s1621]) ).
cnf(s4619,plain,
( ~ spl0_185
| spl0_295
| ~ spl0_30
| ~ spl0_156
| ~ spl0_70 ),
inference(rat,[],[s3792,s1494]) ).
cnf(s4620,plain,
( spl0_295
| ~ spl0_30
| ~ spl0_156
| spl0_109
| spl0_11
| ~ spl0_70 ),
inference(rat,[],[s3600,s1327,s4269,s4619,s1076,s4070,s2391,s1602,s1256]) ).
cnf(s4621,plain,
( ~ spl0_336
| spl0_448
| spl0_423
| spl0_74
| spl0_237
| ~ spl0_136
| ~ spl0_152
| ~ spl0_205 ),
inference(rat,[],[s1134,s4058,s2798,s3013,s2285,s4269,s997,s2214,s2085,s1886,s1256]) ).
cnf(s4622,plain,
( spl0_11
| spl0_90
| ~ spl0_13 ),
inference(rat,[],[s3416,s3853,s1337,s4621,s3276,s4119,s3213,s2751,s4620,s2499,s2343,s2374,s3823,s3217,s4617,s3605,s150,s2017,s3056,s2466,s1602,s2987,s2138,s18,s4082,s4256,s3343,s2522,s1578,s3003,s4188,s290,s1621,s4616,s33,s2525,s2184,s4612,s1886,s4592,s1063]) ).
cnf(s4623,plain,
( spl0_142
| spl0_118
| ~ spl0_136
| ~ spl0_128
| spl0_417
| ~ spl0_3 ),
inference(rat,[],[s1915,s4179,s3961,s2285,s2416,s997,s400]) ).
cnf(s4624,plain,
( ~ spl0_142
| ~ spl0_129
| spl0_240
| ~ spl0_16
| ~ spl0_388 ),
inference(rat,[],[s1669,s1478,s3551]) ).
cnf(s4625,plain,
( ~ spl0_80
| spl0_90
| ~ spl0_13 ),
inference(rat,[],[s1750,s4058,s4623,s3432,s4624,s3268,s3799,s3222,s4108,s253,s706,s2855,s259,s1161,s1500,s150,s2134,s2390,s1621,s4410,s2041,s3343,s2184,s1168,s1429,s2248,s18,s1602,s2016,s718,s4612,s4622,s1886,s400,s4592,s1063]) ).
cnf(s4626,plain,
( spl0_25
| spl0_90
| ~ spl0_13 ),
inference(rat,[],[s2439,s2752,s3606,s3615,s3213,s957,s4119,s4227,s4133,s1830,s1448,s4179,s2285,s2768,s2747,s3945,s997,s4624,s1752,s2856,s2712,s253,s1937,s2374,s4107,s3423,s278,s2372,s1508,s3428,s1621,s4256,s4410,s2041,s3343,s2184,s2248,s18,s1602,s2016,s3217,s4625,s1168,s1429,s4612,s150,s2134,s2390,s718,s4622,s237,s1886,s400,s4592,s1063]) ).
cnf(s4627,plain,
( spl0_118
| spl0_90
| ~ spl0_13 ),
inference(rat,[],[s2297,s3637,s2053,s2596,s4269,s3213,s3961,s1460,s4119,s309,s706,s2406,s2260,s4626,s3758,s2416,s4624,s2856,s253,s3823,s3217,s4625,s4410,s2041,s3343,s2184,s1621,s1168,s1429,s4612,s150,s2134,s2390,s2248,s18,s1602,s2016,s718,s4622,s1256,s1886,s4592,s1063]) ).
cnf(s4628,plain,
( spl0_342
| spl0_90
| ~ spl0_13 ),
inference(rat,[],[s2069,s1746,s4118,s1854,s2591,s958,s1079,s3332,s3261,s1508,s3276,s3423,s3416,s1337,s3404,s957,s3408,s2768,s4624,s2856,s253,s4410,s1621,s2750,s1684,s3823,s3217,s4256,s2041,s2248,s4259,s4179,s1605,s1146,s136,s2547,s4618,s4625,s150,s2134,s2390,s3343,s18,s1602,s2016,s3312,s4627,s280,s4626,s4188,s1168,s1429,s718,s4622,s4612,s2184,s1213,s1725,s237,s1063,s4592,s400]) ).
cnf(s4629,plain,
( spl0_90
| ~ spl0_13 ),
inference(rat,[],[s1778,s958,s1667,s3479,s1514,s4628,s1337,s3404,s957,s3408,s4207,s2768,s4259,s4179,s1605,s2186,s2750,s1146,s1684,s3312,s4627,s309,s4624,s706,s2856,s249,s2406,s253,s2370,s136,s2260,s3823,s4626,s2547,s3758,s4618,s3217,s4625,s4410,s4256,s2041,s3343,s2248,s1621,s18,s150,s1168,s1602,s2134,s1429,s2016,s2390,s718,s4622,s280,s4612,s2184,s237,s400,s1063,s4592]) ).
cnf(s4630,plain,
( spl0_295
| spl0_16
| ~ spl0_17
| ~ spl0_132
| ~ spl0_203 ),
inference(rat,[],[s4269,s3952,s1145,s1407,s1256]) ).
cnf(s4631,plain,
( spl0_112
| spl0_11
| ~ spl0_84
| spl0_70
| ~ spl0_13 ),
inference(rat,[],[s4142,s1328,s1337,s3083,s1404,s2388,s2770,s4630,s2134,s1578,s3800,s2927,s18,s3428,s3734,s1618,s1654,s3077,s3081,s4108,s3972,s1161,s1470,s253,s1613,s4088,s2857,s1473,s4629,s2445,s4592,s400]) ).
cnf(s4632,plain,
( spl0_11
| ~ spl0_84
| spl0_70
| ~ spl0_13 ),
inference(rat,[],[s3543,s150,s2172,s2466,s247,s3734,s532,s2972,s4104,s4631,s33,s2203,s2180,s4629,s4592]) ).
cnf(s4633,plain,
( ~ spl0_84
| spl0_70
| ~ spl0_13 ),
inference(rat,[],[s1618,s3800,s3081,s2134,s4108,s1431,s2390,s2060,s1673,s718,s1500,s4632,s2344,s1168,s1629,s4629,s2445,s400,s4592]) ).
cnf(s4634,plain,
( ~ spl0_30
| ~ spl0_45
| ~ spl0_13 ),
inference(rat,[],[s2466,s2987,s4592]) ).
cnf(s4635,plain,
( spl0_342
| spl0_306
| spl0_335
| spl0_295
| ~ spl0_203
| ~ spl0_90 ),
inference(rat,[],[s958,s4249,s1528,s1278,s3811,s4269,s1145,s237,s1256]) ).
cnf(s4636,plain,
( ~ spl0_342
| ~ spl0_441
| ~ spl0_237
| ~ spl0_401
| ~ spl0_60
| ~ spl0_388 ),
inference(rat,[],[s2540,s1178,s1730,s3371,s2566,s2686,s4592]) ).
cnf(s4637,plain,
( spl0_295
| spl0_342
| spl0_153
| ~ spl0_203
| ~ spl0_156
| ~ spl0_90 ),
inference(rat,[],[s1381,s4635,s1145,s2954]) ).
cnf(s4638,plain,
( spl0_11
| spl0_70
| ~ spl0_13 ),
inference(rat,[],[s3318,s1337,s3710,s2438,s2768,s1769,s2770,s4637,s2202,s3347,s2665,s1278,s4636,s3342,s18,s4634,s4111,s2390,s1617,s2134,s150,s2882,s1729,s2854,s3999,s4108,s1470,s253,s4088,s2857,s4256,s4104,s2972,s1578,s33,s1473,s4629,s1621,s2056,s3413,s290,s4633,s1725,s4592,s400,s1063]) ).
cnf(s4639,plain,
( spl0_70
| ~ spl0_13 ),
inference(rat,[],[s2374,s3217,s210,s2681,s4561,s2857,s2711,s252,s253,s1937,s4108,s3999,s1729,s150,s2134,s2390,s718,s4638,s290,s4633,s1473,s265,s4629,s400,s4592]) ).
cnf(s4640,plain,
( spl0_336
| spl0_448
| spl0_102
| spl0_11
| spl0_359 ),
inference(rat,[],[s1149,s4269,s2760,s3600,s3820,s1328,s1337,s33,s2972,s1256]) ).
cnf(s4641,plain,
( ~ spl0_336
| spl0_106
| ~ spl0_110
| spl0_80
| ~ spl0_237 ),
inference(rat,[],[s957,s3556,s2599,s1652,s237,s4592]) ).
cnf(s4642,plain,
( ~ spl0_244
| ~ spl0_13 ),
inference(rat,[],[s1470,s1145,s4181,s2770,s4269,s3276,s3600,s4640,s3820,s1328,s1337,s4641,s2927,s1654,s2444,s2972,s4108,s4120,s3734,s33,s1731,s2343,s717,s715,s1430,s1429,s1473,s719,s1572,s2532,s280,s4629,s4639,s1256,s400,s4592]) ).
cnf(s4643,plain,
( ~ spl0_80
| spl0_11
| ~ spl0_13 ),
inference(rat,[],[s150,s289,s1617,s292,s2532,s280,s4629,s4639,s4592]) ).
cnf(s4644,plain,
( ~ spl0_60
| spl0_11
| ~ spl0_13 ),
inference(rat,[],[s3083,s1404,s4640,s2388,s3276,s2770,s4614,s2250,s2390,s2134,s2857,s150,s207,s2927,s4618,s208,s2854,s1654,s1473,s18,s1621,s1168,s4642,s33,s2972,s3734,s1572,s2532,s280,s4629,s4639,s4643,s4592]) ).
cnf(s4645,plain,
( spl0_11
| ~ spl0_13 ),
inference(rat,[],[s208,s2372,s207,s4561,s2857,s252,s253,s4108,s4644,s4643,s1473,s18,s1572,s2532,s280,s4629,s4639,s1168,s4642,s400,s4592]) ).
cnf(s4646,plain,
( spl0_295
| ~ spl0_203
| ~ spl0_128
| spl0_25
| spl0_150 ),
inference(rat,[],[s3662,s2729,s2732,s1145,s1915]) ).
cnf(s4647,plain,
( spl0_112
| ~ spl0_80
| ~ spl0_13 ),
inference(rat,[],[s958,s4154,s1443,s1843,s3953,s1845,s4165,s2700,s4534,s1755,s1801,s1756,s1337,s1749,s4101,s4058,s2,s1134,s2747,s962,s2798,s4057,s1327,s4269,s2764,s965,s3662,s2268,s957,s2397,s1913,s4646,s1470,s259,s4088,s2857,s4256,s1473,s1621,s1500,s37,s335,s2984,s1168,s4642,s1957,s150,s2134,s2390,s718,s4645,s2222,s1616,s18,s1572,s2532,s280,s1752,s1300,s4639,s4108,s1937,s2713,s705,s265,s4629,s237,s1886,s1256,s4592,s1063,s400]) ).
cnf(s4648,plain,
( ~ spl0_336
| spl0_323
| ~ spl0_68
| spl0_136
| ~ spl0_13 ),
inference(rat,[],[s2933,s3637,s2748,s1506,s2085,s150,s2134,s2390,s718,s4645,s4592]) ).
cnf(s4649,plain,
( spl0_290
| ~ spl0_68
| ~ spl0_80
| ~ spl0_13 ),
inference(rat,[],[s2748,s2933,s965,s2268,s957,s2532,s280,s4639,s4629,s150,s2134,s2390,s718,s4645,s210,s4647,s1168,s4642,s4592,s1063,s237]) ).
cnf(s4650,plain,
( ~ spl0_68
| ~ spl0_80
| ~ spl0_13 ),
inference(rat,[],[s1513,s4648,s1913,s3584,s4649,s150,s2134,s2390,s718,s4645,s1616,s18,s1572,s2532,s280,s4639,s4108,s1937,s2713,s705,s265,s4629,s210,s4647,s1168,s4642,s400,s4592]) ).
cnf(s4651,plain,
( ~ spl0_80
| ~ spl0_13 ),
inference(rat,[],[s1104,s1153,s3432,s1337,s4058,s1749,s1750,s4251,s4119,s4650,s2374,s284,s210,s4647,s1752,s281,s2222,s705,s1300,s265,s2532,s280,s4639,s4629,s1168,s4642,s150,s2134,s2390,s718,s4645,s1886,s4592]) ).
cnf(s4652,plain,
~ spl0_13,
inference(rat,[],[s4105,s4561,s2857,s252,s253,s4108,s2925,s4618,s4651,s335,s150,s2134,s2390,s718,s4645,s1168,s4642,s2532,s280,s4639,s4629,s1473,s400,s4592]) ).
cnf(s4654,plain,
spl0_89,
inference(rat,[],[s2936,s237,s4652]) ).
cnf(s4655,plain,
spl0_14,
inference(rat,[],[s8,s4652]) ).
cnf(s4656,plain,
( spl0_11
| ~ spl0_84
| ~ spl0_80 ),
inference(rat,[],[s2232,s4108,s143,s3800,s4165,s1618,s44,s33,s240,s2344,s37,s3975,s3801,s2203,s4617,s1431,s1168,s400,s4652,s4592]) ).
cnf(s4657,plain,
( ~ spl0_84
| ~ spl0_80
| spl0_90 ),
inference(rat,[],[s2232,s2547,s3222,s4049,s3692,s2524,s4054,s1267,s1500,s4656,s2344,s2184,s400,s4652,s4592,s1063]) ).
cnf(s4658,plain,
( ~ spl0_60
| ~ spl0_97
| spl0_70
| spl0_84
| spl0_90 ),
inference(rat,[],[s3032,s18,s2261,s3343,s150,s4061,s3814,s1729,s14,s2854,s3999,s1654,s2184,s1621,s290,s4652,s1063]) ).
cnf(s4659,plain,
( ~ spl0_185
| ~ spl0_21
| ~ spl0_30
| spl0_59
| ~ spl0_128
| spl0_451
| ~ spl0_388
| ~ spl0_80 ),
inference(rat,[],[s2732,s3117,s1915,s2024,s2768,s1634,s3792,s4652,s4592]) ).
cnf(s4660,plain,
( spl0_112
| spl0_70
| ~ spl0_80
| spl0_90 ),
inference(rat,[],[s2018,s4207,s3450,s1381,s4269,s4659,s3564,s2987,s4109,s14,s3210,s56,s3654,s3084,s3290,s3050,s2989,s3085,s2370,s2232,s2547,s4108,s4658,s2855,s3892,s3413,s290,s1500,s4134,s2445,s4224,s3003,s1621,s4657,s2184,s1256,s4652,s237,s400,s4592,s1063]) ).
cnf(s4661,plain,
( spl0_143
| spl0_185 ),
inference(rat,[],[s4269,s1256]) ).
cnf(s4663,plain,
( spl0_112
| spl0_156 ),
inference(rat,[],[s4256,s1063]) ).
cnf(s4664,plain,
( ~ spl0_349
| spl0_137
| ~ spl0_118 ),
inference(rat,[],[s4251,s4592]) ).
cnf(s4668,plain,
( ~ spl0_185
| ~ spl0_289
| ~ spl0_25
| ~ spl0_84
| ~ spl0_120 ),
inference(rat,[],[s4195,s4592]) ).
cnf(s4669,plain,
( spl0_354
| spl0_414 ),
inference(rat,[],[s4179,s400]) ).
cnf(s4675,plain,
( ~ spl0_54
| spl0_25 ),
inference(rat,[],[s4123,s4652,s237]) ).
cnf(s4676,plain,
( spl0_305
| spl0_333
| ~ spl0_54 ),
inference(rat,[],[s4122,s1213]) ).
cnf(s4677,plain,
( ~ spl0_54
| ~ spl0_183
| spl0_118 ),
inference(rat,[],[s4121,s1886]) ).
cnf(s4678,plain,
( ~ spl0_54
| spl0_120
| spl0_80 ),
inference(rat,[],[s4120,s400]) ).
cnf(s4679,plain,
( spl0_68
| spl0_118 ),
inference(rat,[],[s4119,s1886]) ).
cnf(s4680,plain,
( spl0_304
| spl0_305 ),
inference(rat,[],[s4118,s1213]) ).
cnf(s4681,plain,
( spl0_40
| spl0_30 ),
inference(rat,[],[s4109,s4652]) ).
cnf(s4682,plain,
( spl0_60
| spl0_120 ),
inference(rat,[],[s4108,s400]) ).
cnf(s4684,plain,
( spl0_183
| spl0_318 ),
inference(rat,[],[s4058,s1886]) ).
cnf(s4685,plain,
( spl0_333
| spl0_365 ),
inference(rat,[],[s4053,s1213]) ).
cnf(s4692,plain,
( ~ spl0_367
| spl0_333
| spl0_59 ),
inference(rat,[],[s3966,s4652]) ).
cnf(s4694,plain,
( spl0_333
| ~ spl0_447 ),
inference(rat,[],[s3940,s4652]) ).
cnf(s4702,plain,
( ~ spl0_468
| ~ spl0_142 ),
inference(rat,[],[s3886,s4592]) ).
cnf(s4708,plain,
( ~ spl0_16
| spl0_27 ),
inference(rat,[],[s3814,s4652]) ).
cnf(s4709,plain,
( spl0_342
| spl0_372 ),
inference(rat,[],[s3811,s1256]) ).
cnf(s4712,plain,
( ~ spl0_80
| spl0_471 ),
inference(rat,[],[s3801,s4592]) ).
cnf(s4719,plain,
( ~ spl0_35
| ~ spl0_318
| spl0_118 ),
inference(rat,[],[s3730,s4592]) ).
cnf(s4721,plain,
( spl0_318
| ~ spl0_398 ),
inference(rat,[],[s3707,s4652]) ).
cnf(s4726,plain,
( spl0_80
| spl0_59
| ~ spl0_112 ),
inference(rat,[],[s3693,s4652]) ).
cnf(s4727,plain,
( ~ spl0_436
| ~ spl0_112
| spl0_444 ),
inference(rat,[],[s3692,s4652]) ).
cnf(s4728,plain,
( ~ spl0_124
| ~ spl0_41
| ~ spl0_112 ),
inference(rat,[],[s3691,s4652]) ).
cnf(s4733,plain,
( ~ spl0_354
| ~ spl0_455
| spl0_136 ),
inference(rat,[],[s3659,s4654]) ).
cnf(s4736,plain,
( ~ spl0_153
| ~ spl0_19 ),
inference(rat,[],[s3654,s4652]) ).
cnf(s4746,plain,
( ~ spl0_293
| ~ spl0_450
| spl0_345 ),
inference(rat,[],[s3382,s400]) ).
cnf(s4751,plain,
( spl0_381
| ~ spl0_183
| spl0_185 ),
inference(rat,[],[s3327,s4655]) ).
cnf(s4761,plain,
( spl0_106
| spl0_80
| ~ spl0_111 ),
inference(rat,[],[s3216,s4652]) ).
cnf(s4763,plain,
( ~ spl0_356
| ~ spl0_291
| ~ spl0_318
| spl0_345 ),
inference(rat,[],[s3208,s1256]) ).
cnf(s4769,plain,
( spl0_49
| ~ spl0_149 ),
inference(rat,[],[s3159,s4652]) ).
cnf(s4772,plain,
( ~ spl0_385
| spl0_80 ),
inference(rat,[],[s3126,s4652]) ).
cnf(s4780,plain,
( ~ spl0_136
| ~ spl0_3 ),
inference(rat,[],[s3090,s4652]) ).
cnf(s4782,plain,
( ~ spl0_337
| ~ spl0_318 ),
inference(rat,[],[s3076,s4592]) ).
cnf(s4784,plain,
( ~ spl0_183
| spl0_381
| ~ spl0_143 ),
inference(rat,[],[s3058,s4652]) ).
cnf(s4785,plain,
( ~ spl0_47
| spl0_9
| ~ spl0_25 ),
inference(rat,[],[s3057,s4592]) ).
cnf(s4786,plain,
( ~ spl0_205
| ~ spl0_25 ),
inference(rat,[],[s3056,s4592]) ).
cnf(s4791,plain,
( ~ spl0_54
| spl0_25 ),
inference(rat,[],[s3050,s4652]) ).
cnf(s4804,plain,
( spl0_19
| spl0_25 ),
inference(rat,[],[s2989,s237]) ).
cnf(s4805,plain,
( ~ spl0_17
| ~ spl0_101 ),
inference(rat,[],[s2978,s4652]) ).
cnf(s4806,plain,
( ~ spl0_401
| ~ spl0_112
| spl0_136 ),
inference(rat,[],[s2959,s4652]) ).
cnf(s4809,plain,
( ~ spl0_42
| spl0_101 ),
inference(rat,[],[s2940,s4652]) ).
cnf(s4820,plain,
( spl0_307
| spl0_322 ),
inference(rat,[],[s2665,s1725]) ).
cnf(s4825,plain,
( spl0_60
| ~ spl0_115 ),
inference(rat,[],[s2547,s400]) ).
cnf(s4826,plain,
( ~ spl0_311
| ~ spl0_333
| ~ spl0_237 ),
inference(rat,[],[s2540,s4592]) ).
cnf(s4835,plain,
( spl0_237
| ~ spl0_366 ),
inference(rat,[],[s2390,s4592]) ).
cnf(s4837,plain,
( ~ spl0_145
| ~ spl0_84 ),
inference(rat,[],[s2344,s4592]) ).
cnf(s4838,plain,
( ~ spl0_120
| ~ spl0_237
| ~ spl0_70 ),
inference(rat,[],[s2343,s4592]) ).
cnf(s4851,plain,
( spl0_90
| spl0_111 ),
inference(rat,[],[s2184,s1063]) ).
cnf(s4861,plain,
( spl0_329
| ~ spl0_333
| ~ spl0_80
| spl0_342 ),
inference(rat,[],[s2035,s4592]) ).
cnf(s4863,plain,
( spl0_295
| ~ spl0_318
| ~ spl0_80
| spl0_189 ),
inference(rat,[],[s2024,s4592]) ).
cnf(s4885,plain,
( ~ spl0_343
| ~ spl0_305
| spl0_137 ),
inference(rat,[],[s1744,s4592]) ).
cnf(s4893,plain,
( ~ spl0_336
| ~ spl0_318
| ~ spl0_237 ),
inference(rat,[],[s1652,s4592]) ).
cnf(s4898,plain,
( ~ spl0_354
| ~ spl0_16
| ~ spl0_17
| ~ spl0_114
| spl0_68 ),
inference(rat,[],[s1606,s400]) ).
cnf(s4899,plain,
( ~ spl0_114
| ~ spl0_30 ),
inference(rat,[],[s1600,s4592]) ).
cnf(s4902,plain,
( ~ spl0_311
| ~ spl0_334 ),
inference(rat,[],[s1563,s4592]) ).
cnf(s4908,plain,
( ~ spl0_74
| ~ spl0_11 ),
inference(rat,[],[s1500,s4592]) ).
cnf(s4923,plain,
( ~ spl0_374
| ~ spl0_305
| spl0_9 ),
inference(rat,[],[s1414,s4592]) ).
cnf(s4926,plain,
( ~ spl0_376
| spl0_9
| ~ spl0_118 ),
inference(rat,[],[s1404,s4592]) ).
cnf(s4944,plain,
( ~ spl0_333
| spl0_357 ),
inference(rat,[],[s1218,s4592]) ).
cnf(s4950,plain,
( spl0_192
| ~ spl0_318 ),
inference(rat,[],[s1131,s4592]) ).
cnf(s4967,plain,
( spl0_293
| spl0_294 ),
inference(rat,[],[s959,s237]) ).
cnf(s4968,plain,
( spl0_291
| spl0_292 ),
inference(rat,[],[s958,s237]) ).
cnf(s4969,plain,
( spl0_289
| spl0_290 ),
inference(rat,[],[s957,s237]) ).
cnf(s4974,plain,
( ~ spl0_237
| ~ spl0_70
| ~ spl0_80 ),
inference(rat,[],[s717,s4592]) ).
cnf(s4989,plain,
( ~ spl0_137
| ~ spl0_70 ),
inference(rat,[],[s280,s4592]) ).
cnf(s4990,plain,
( ~ spl0_45
| ~ spl0_70
| ~ spl0_80 ),
inference(rat,[],[s276,s4592]) ).
cnf(s4993,plain,
( ~ spl0_110
| ~ spl0_80 ),
inference(rat,[],[s272,s4592]) ).
cnf(s4995,plain,
( spl0_4
| spl0_30
| ~ spl0_3 ),
inference(rat,[],[s87,s4652]) ).
cnf(s4998,plain,
( ~ spl0_59
| spl0_54 ),
inference(rat,[],[s56,s4652]) ).
cnf(s5000,plain,
( ~ spl0_49
| ~ spl0_41 ),
inference(rat,[],[s44,s4652]) ).
cnf(s5002,plain,
( ~ spl0_18
| spl0_26 ),
inference(rat,[],[s14,s4652]) ).
cnf(s5003,plain,
( ~ spl0_6
| spl0_10
| spl0_3
| spl0_9 ),
inference(rat,[],[s6,s4592]) ).
cnf(s5015,plain,
( spl0_80
| ~ spl0_30
| ~ spl0_84
| spl0_54 ),
inference(rat,[],[s4459,s4652]) ).
cnf(s5028,plain,
( spl0_57
| spl0_97
| ~ spl0_68
| spl0_336
| spl0_136 ),
inference(rat,[],[s4499,s4654,s4655]) ).
cnf(s5030,plain,
( ~ spl0_342
| ~ spl0_205
| spl0_153
| spl0_102
| spl0_70
| spl0_90 ),
inference(rat,[],[s4064,s2971,s1178,s3072,s4585]) ).
cnf(s5031,plain,
( ~ spl0_185
| spl0_380
| ~ spl0_57
| ~ spl0_307
| ~ spl0_205 ),
inference(rat,[],[s4967,s4067,s2576,s2214,s1178,s3072]) ).
cnf(s5032,plain,
( spl0_70
| ~ spl0_80
| spl0_90 ),
inference(rat,[],[s2018,s4207,s3450,s1381,s4661,s5031,s2971,s4175,s3072,s3656,s4692,s4680,s3196,s2080,s3916,s5030,s1297,s4998,s3290,s4791,s4804,s4786,s715,s2713,s2232,s2016,s1937,s4825,s1602,s3222,s4049,s2254,s4113,s4727,s2524,s4660,s1585,s4134,s3048,s2056,s2445,s4224,s3003,s1621,s4657,s4851]) ).
cnf(s5033,plain,
( spl0_25
| spl0_45
| spl0_237 ),
inference(rat,[],[s31,s2016,s5000,s1602,s4769,s4995,s3266,s2374,s4780,s150]) ).
cnf(s5034,plain,
( ~ spl0_80
| spl0_90 ),
inference(rat,[],[s1602,s2016,s18,s33,s209,s2522,s206,s2524,s2370,s5033,s2232,s4825,s3222,s4049,s3268,s4780,s150,s4990,s4974,s5032,s4188,s4657,s4851]) ).
cnf(s5035,plain,
( spl0_118
| ~ spl0_108
| ~ spl0_84
| spl0_90 ),
inference(rat,[],[s3542,s24,s4969,s4719,s4668,s4684,s4312,s4677,s4679,s4675,s1114,s2381,s1766,s2442,s249,s2172,s4678,s2444,s4837,s4761,s5034,s4851]) ).
cnf(s5036,plain,
( ~ spl0_333
| ~ spl0_45
| ~ spl0_102
| ~ spl0_6
| spl0_22 ),
inference(rat,[],[s3196,s3712,s1219,s3983,s4826,s4944,s4835,s2134]) ).
cnf(s5037,plain,
( spl0_3
| spl0_11
| spl0_112
| ~ spl0_84
| spl0_90 ),
inference(rat,[],[s4264,s4967,s1275,s4176,s3844,s1392,s4694,s4685,s5036,s3152,s3619,s4461,s1149,s2606,s4203,s3652,s3083,s3685,s163,s5003,s150,s2203,s1766,s2442,s1613,s240,s4969,s3362,s3419,s5035,s4675,s4899,s3734,s129,s4134,s2445,s249,s2172,s4678,s2444,s4761,s4851,s5034,s4837]) ).
cnf(s5038,plain,
( spl0_11
| spl0_112
| ~ spl0_84
| spl0_90 ),
inference(rat,[],[s4782,s4684,s1341,s2554,s2606,s4182,s997,s4702,s4202,s1149,s4265,s3152,s3334,s5037,s1928,s4969,s3362,s3419,s5035,s2391,s4899,s1602,s3734,s126,s129,s4134,s4675,s2445,s1932,s249,s2172,s4837,s2499,s4663,s4678,s2444,s4761,s4851,s5034]) ).
cnf(s5039,plain,
( ~ spl0_68
| ~ spl0_204
| ~ spl0_84
| spl0_90 ),
inference(rat,[],[s4969,s4668,s1467,s4312,s2381,s4675,s4678,s2444,s4761,s4851,s5034]) ).
cnf(s5040,plain,
( ~ spl0_11
| ~ spl0_84
| spl0_90 ),
inference(rat,[],[s3856,s4969,s2741,s1432,s3742,s4926,s3165,s1823,s4679,s5039,s126,s3210,s4805,s4681,s18,s4899,s3296,s3082,s4675,s1168,s3048,s2445,s249,s2172,s4678,s2444,s4761,s5034,s4837,s4851]) ).
cnf(s5041,plain,
( ~ spl0_185
| spl0_3
| ~ spl0_84
| spl0_90 ),
inference(rat,[],[s4968,s4167,s3335,s3316,s4278,s2977,s1502,s4969,s4202,s4668,s1149,s251,s2525,s587,s2467,s4113,s5038,s1585,s3048,s4786,s4675,s1114,s2381,s5036,s2203,s4702,s3977,s2606,s3083,s5003,s1766,s2442,s240,s129,s3685,s150,s5035,s4134,s5040,s2445,s249,s2172,s4678,s2444,s4761,s5034,s4837,s4851]) ).
cnf(s5042,plain,
( spl0_3
| ~ spl0_84
| spl0_90 ),
inference(rat,[],[s4238,s4244,s4133,s4969,s4204,s4265,s4661,s5041,s2606,s3853,s3083,s5003,s150,s1766,s2442,s240,s33,s129,s5035,s4134,s2445,s249,s2172,s4678,s2444,s4761,s4837,s4851,s206,s3152,s4099,s5038,s5040,s5034]) ).
cnf(s5043,plain,
( spl0_342
| spl0_240
| ~ spl0_192
| ~ spl0_290
| ~ spl0_101
| ~ spl0_108
| ~ spl0_84 ),
inference(rat,[],[s4967,s1794,s1302,s1641,s1079,s3261,s1349]) ).
cnf(s5044,plain,
( ~ spl0_185
| ~ spl0_84
| spl0_90 ),
inference(rat,[],[s1079,s2718,s2605,s4585,s5043,s1341,s4782,s4684,s2554,s4182,s997,s2083,s4785,s3083,s3318,s3606,s3946,s2534,s4969,s4181,s4668,s4772,s126,s5035,s4134,s2254,s532,s4104,s33,s2467,s4113,s5038,s5040,s1585,s3048,s2445,s249,s2172,s4678,s4837,s4786,s4675,s2444,s4761,s4851,s5034,s4780,s5042]) ).
cnf(s5045,plain,
( ~ spl0_84
| spl0_90 ),
inference(rat,[],[s1104,s2606,s4664,s2743,s1692,s4969,s4207,s4265,s1381,s4661,s5044,s3152,s3166,s2254,s4099,s5035,s129,s5038,s4134,s5040,s2445,s249,s2172,s4837,s4678,s2444,s4761,s4851,s5034]) ).
cnf(s5046,plain,
( spl0_70
| spl0_118
| spl0_90 ),
inference(rat,[],[s4708,s3343,s2483,s18,s997,s3792,s2085,s1337,s3215,s715,s1096,s4134,s2442,s2445,s4786,s4224,s3003,s1621,s5045,s4312,s4679,s2381,s2297,s4684,s4677,s4675,s2444,s4761,s4851,s5034]) ).
cnf(s5047,plain,
( spl0_118
| spl0_90 ),
inference(rat,[],[s31,s2016,s2522,s2524,s1602,s4082,s18,s135,s3343,s2439,s4708,s5028,s2483,s2285,s997,s2083,s4785,s4838,s2551,s5046,s3135,s3297,s2261,s2269,s4684,s4312,s4677,s4679,s2381,s4675,s4678,s2444,s4761,s5034,s4188,s5045,s4851]) ).
cnf(s5048,plain,
( spl0_342
| spl0_240
| spl0_104
| ~ spl0_186
| ~ spl0_354
| ~ spl0_16
| spl0_30
| spl0_96
| ~ spl0_107
| spl0_108 ),
inference(rat,[],[s4091,s3953,s4148,s3175,s4763,s3174,s2069,s4968,s4680,s1588,s2591,s1079,s3261,s4708,s1819,s3742]) ).
cnf(s5049,plain,
( ~ spl0_185
| spl0_70
| spl0_90 ),
inference(rat,[],[s3372,s1178,s4694,s4091,s3905,s1311,s2566,s5048,s2261,s1341,s135,s1132,s2269,s4782,s2439,s1819,s1821,s3742,s2768,s4181,s2083,s3115,s4188,s5047,s3413,s290,s3118,s4785,s3082,s3343,s18,s2409,s4663,s4113,s1602,s2016,s715,s4134,s4224,s3003,s1621,s5045,s4786,s1585,s3048,s2445,s2260,s4675,s2444,s4761,s4851,s5034]) ).
cnf(s5050,plain,
( spl0_142
| spl0_70
| spl0_90 ),
inference(rat,[],[s1692,s4969,s3312,s3619,s4259,s3947,s2768,s5047,s3413,s290,s4780,s150,s2134,s4835,s4669,s1605,s5049,s3343,s18,s1602,s2016,s715,s4134,s2445,s4224,s3003,s1621,s4786,s4675,s2444,s4761,s5034,s5045,s4851]) ).
cnf(s5051,plain,
( spl0_70
| spl0_90 ),
inference(rat,[],[s3312,s1692,s4259,s4969,s4142,s3856,s1337,s2085,s5050,s4669,s1605,s1327,s5049,s3343,s18,s1602,s2016,s715,s4134,s2445,s4786,s4675,s2444,s4761,s5034,s4224,s3003,s1621,s5045,s4851,s5047]) ).
cnf(s5052,plain,
( spl0_11
| spl0_90 ),
inference(rat,[],[s2138,s18,s4082,s3343,s2522,s1578,s33,s2525,s4786,s4675,s2444,s4761,s5034,s290,s4188,s5045,s4851,s5051]) ).
cnf(s5053,plain,
spl0_90,
inference(rat,[],[s4969,s3606,s3362,s2439,s3419,s2053,s4898,s2042,s1605,s2732,s4259,s2483,s2768,s3945,s997,s1948,s249,s135,s2370,s4082,s2041,s4708,s3343,s2248,s18,s1602,s2016,s5052,s3390,s4780,s150,s2134,s4835,s3312,s4838,s4989,s5051,s5047,s290,s1621,s5045,s4678,s4675,s2444,s4761,s5034,s4851]) ).
cnf(s5054,plain,
( ~ spl0_57
| ~ spl0_185
| spl0_80
| spl0_118
| spl0_431 ),
inference(rat,[],[s2415,s3961,s4969,s1145,s2575,s1470,s5053]) ).
cnf(s5055,plain,
( ~ spl0_185
| spl0_80
| spl0_11
| spl0_118
| spl0_70
| spl0_145 ),
inference(rat,[],[s3884,s1502,s150,s432,s3681,s2261,s2429,s2269,s2711,s1337,s4684,s2060,s1937,s1096,s4677,s4678,s4675,s60,s3918,s4998,s4104,s4726,s4088,s5054,s1932,s2229,s4679,s33,s5053]) ).
cnf(s5056,plain,
( spl0_11
| spl0_118
| spl0_70
| ~ spl0_84 ),
inference(rat,[],[s4348,s2172,s3800,s3657,s3710,s2125,s3763,s2766,s2788,s4950,s1134,s3996,s4684,s4969,s4784,s3995,s3525,s1805,s3461,s2933,s4312,s4661,s5055,s1618,s2132,s5000,s4656,s33,s2525,s2203,s4837,s5002,s1653,s4679,s5053]) ).
cnf(s5057,plain,
( ~ spl0_11
| spl0_70
| ~ spl0_84 ),
inference(rat,[],[s4998,s4726,s4678,s4712,s3975,s150,s4780,s4806,s3999,s4682,s2857,s2060,s1267,s4908,s1474,s2203,s4837,s5053]) ).
cnf(s5058,plain,
( spl0_25
| ~ spl0_185
| spl0_70
| ~ spl0_84 ),
inference(rat,[],[s3856,s4969,s3083,s2575,s4926,s129,s4088,s2388,s3734,s4726,s2134,s5015,s4998,s3266,s4791,s2445,s4656,s5056,s4769,s5000,s33,s5057,s5053]) ).
cnf(s5059,plain,
( ~ spl0_185
| spl0_70
| ~ spl0_84 ),
inference(rat,[],[s250,s150,s3972,s4780,s1927,s3946,s4215,s3606,s4969,s3618,s4668,s1104,s2138,s4678,s2606,s3734,s4998,s2972,s4726,s4104,s3853,s4181,s4088,s3083,s4664,s3115,s4785,s3995,s4786,s5058,s1430,s1168,s33,s4656,s5056,s5057,s5053]) ).
cnf(s5060,plain,
( spl0_25
| spl0_70
| ~ spl0_84 ),
inference(rat,[],[s4142,s1328,s1337,s4630,s3083,s3972,s1470,s4926,s1578,s1613,s4088,s2388,s3734,s18,s3428,s4726,s2134,s5015,s4998,s3266,s4791,s4656,s5056,s4769,s5000,s33,s5057,s5053]) ).
cnf(s5061,plain,
( spl0_70
| ~ spl0_84 ),
inference(rat,[],[s2783,s4968,s4169,s3478,s3235,s1079,s1641,s250,s5036,s4885,s150,s3078,s4780,s1505,s4222,s4217,s1502,s587,s4969,s1114,s3619,s1805,s3948,s4751,s1766,s2732,s4684,s3918,s4809,s3449,s1134,s4726,s4104,s2060,s3687,s4088,s4678,s1104,s4702,s2467,s5015,s2606,s3734,s1328,s3600,s2117,s1337,s3083,s4664,s4785,s3995,s4786,s141,s5060,s4661,s5059,s5056,s4656,s33,s2525,s5057,s2445,s2203,s4837,s1430,s1168,s5053]) ).
cnf(s5062,plain,
( spl0_342
| ~ spl0_84 ),
inference(rat,[],[s3347,s4820,s3236,s1278,s4409,s18,s1578,s3428,s5015,s715,s719,s1470,s4088,s4726,s4998,s4678,s4838,s1429,s4993,s1731,s5061,s1430,s1168,s5053]) ).
cnf(s5063,plain,
~ spl0_84,
inference(rat,[],[s4154,s4968,s4826,s3174,s2705,s5062,s3729,s1750,s3556,s3538,s4969,s2575,s2770,s4661,s4630,s3600,s1470,s1328,s1578,s1337,s4088,s3734,s18,s3428,s4641,s4726,s2927,s5015,s2444,s4998,s1654,s4678,s4682,s4838,s715,s4993,s1429,s4409,s1731,s719,s5061,s1430,s1168,s5053]) ).
cnf(s5065,plain,
spl0_388,
inference(rat,[],[s1621,s5063]) ).
cnf(s5066,plain,
~ spl0_151,
inference(rat,[],[s290,s5063]) ).
cnf(s5067,plain,
( spl0_342
| ~ spl0_145
| ~ spl0_19
| ~ spl0_203
| spl0_18 ),
inference(rat,[],[s1997,s3554,s1278,s2080]) ).
cnf(s5068,plain,
( spl0_25
| spl0_11
| spl0_118
| spl0_70 ),
inference(rat,[],[s3132,s4967,s2441,s2303,s4826,s1178,s2126,s5067,s2232,s4825,s4682,s4448,s2874,s4893,s2394,s1467,s3856,s3855,s4969,s4835,s1145,s2575,s5054,s2134,s10,s3461,s3266,s4791,s4804,s2445,s1932,s129,s5002,s1653,s4679,s4769,s5000,s1470,s4088,s4104,s2972,s2056,s33,s5053,s5063]) ).
cnf(s5069,plain,
( spl0_11
| spl0_118
| spl0_70 ),
inference(rat,[],[s2500,s4640,s2836,s4782,s2764,s4684,s4969,s4784,s3525,s1805,s3952,s2933,s4312,s4661,s5055,s18,s3070,s2467,s2370,s3297,s4786,s5068,s1475,s4088,s4663,s4131,s4104,s2132,s2972,s1578,s33,s1678,s2056,s4679,s5053,s5066,s5063]) ).
cnf(s5070,plain,
( spl0_237
| spl0_25 ),
inference(rat,[],[s2134,s5033,s4835]) ).
cnf(s5071,plain,
( spl0_25
| spl0_118
| spl0_70 ),
inference(rat,[],[s4733,s210,s4181,s4088,s2575,s4969,s2799,s3856,s2214,s715,s5070,s3461,s2445,s129,s2056,s5002,s1653,s4679,s5069,s5063,s5053]) ).
cnf(s5072,plain,
( spl0_118
| spl0_70 ),
inference(rat,[],[s5028,s2624,s2261,s1470,s1925,s2269,s1145,s2053,s2752,s2751,s4682,s3213,s3999,s4995,s1729,s4780,s18,s150,s1602,s2134,s2016,s4835,s715,s4786,s5071,s5069,s4679,s5053,s5065,s5063,s5066]) ).
cnf(s5073,plain,
( spl0_336
| spl0_11
| spl0_70 ),
inference(rat,[],[s2764,s4969,s4640,s3856,s2445,s129,s4663,s4104,s1475,s4131,s33,s1678,s2972,s2056,s5063]) ).
cnf(s5074,plain,
( spl0_11
| spl0_70 ),
inference(rat,[],[s2060,s2499,s4682,s2370,s3800,s3266,s2134,s2388,s4926,s3083,s5073,s4663,s1618,s4769,s4104,s5000,s2972,s33,s2056,s5072,s5053,s5063]) ).
cnf(s5075,plain,
( ~ spl0_336
| ~ spl0_205
| ~ spl0_237
| spl0_54 ),
inference(rat,[],[s4751,s2434,s4684,s2214,s4893]) ).
cnf(s5076,plain,
( spl0_25
| spl0_70 ),
inference(rat,[],[s4637,s4636,s1470,s3999,s4088,s4663,s4682,s4726,s4111,s2060,s1451,s2018,s4133,s4969,s3421,s3856,s1328,s1337,s5075,s715,s4998,s4736,s5070,s4791,s4804,s2445,s129,s2056,s5072,s4908,s5074,s5053,s5065,s5063]) ).
cnf(s5077,plain,
spl0_70,
inference(rat,[],[s2768,s1948,s2018,s3296,s2060,s252,s4682,s3999,s1729,s150,s2134,s4835,s715,s4786,s5076,s4908,s5074,s5072,s3413,s5065,s5053,s5063,s5066]) ).
cnf(s5078,plain,
~ spl0_137,
inference(rat,[],[s4989,s5077]) ).
cnf(s5079,plain,
~ spl0_205,
inference(rat,[],[s719,s5053,s5077]) ).
cnf(s5080,plain,
( spl0_25
| spl0_118 ),
inference(rat,[],[s1635,s2954,s2770,s4663,s4682,s4726,s2927,s4838,s4974,s4998,s3461,s5070,s4791,s5002,s1653,s4679,s5053,s5077]) ).
cnf(s5081,plain,
( spl0_112
| ~ spl0_185
| spl0_118 ),
inference(rat,[],[s1931,s5054,s4969,s1300,s2575,s135,s4088,s4082,s5080,s5053,s5077]) ).
cnf(s5083,plain,
( ~ spl0_333
| ~ spl0_298
| ~ spl0_4
| spl0_222
| ~ spl0_6
| ~ spl0_316 ),
inference(rat,[],[s3486,s4967,s4709,s4902,s3172,s1845,s1219,s1842,s5065]) ).
cnf(s5084,plain,
( ~ spl0_80
| ~ spl0_185
| ~ spl0_336
| spl0_118
| spl0_11 ),
inference(rat,[],[s4175,s3788,s4820,s4110,s3347,s1531,s4968,s987,s3316,s5083,s964,s4969,s1172,s4682,s2973,s1937,s4995,s18,s2711,s3792,s3729,s2429,s4863,s3813,s432,s1504,s3263,s1863,s4164,s4165,s997,s4086,s3807,s37,s150,s2085,s3297,s2261,s135,s4990,s4974,s3070,s1300,s1578,s5000,s4679,s5080,s4728,s5081,s33,s5053,s5077,s5066]) ).
cnf(s5085,plain,
( ~ spl0_185
| ~ spl0_336
| spl0_118
| spl0_11 ),
inference(rat,[],[s2269,s3297,s4684,s4181,s4677,s1504,s4998,s2520,s4726,s4111,s5084,s5081,s33,s4679,s5080,s5063]) ).
cnf(s5086,plain,
( ~ spl0_336
| spl0_118
| spl0_11 ),
inference(rat,[],[s2748,s4780,s150,s2134,s2085,s4835,s4893,s4684,s4784,s1805,s2933,s4312,s4661,s5085,s4679]) ).
cnf(s5087,plain,
( ~ spl0_185
| spl0_59
| ~ spl0_455
| spl0_118 ),
inference(rat,[],[s3297,s4181,s3070,s4733,s4726,s210,s5081,s5080,s5053,s5063]) ).
cnf(s5088,plain,
( spl0_118
| spl0_11 ),
inference(rat,[],[s4726,s4617,s4082,s2836,s2138,s2606,s3734,s1328,s4684,s3600,s4751,s4661,s5087,s2430,s3918,s1096,s2799,s1337,s5086,s4679,s5077,s5079]) ).
cnf(s5089,plain,
( spl0_25
| spl0_11 ),
inference(rat,[],[s1769,s2438,s1145,s4661,s3600,s1328,s1337,s3734,s3083,s1470,s2138,s4926,s4088,s4082,s2388,s4682,s4726,s4111,s2134,s4838,s4974,s4998,s3266,s5070,s4791,s4769,s5000,s33,s5088,s5053,s5079,s5077,s5063]) ).
cnf(s5090,plain,
( ~ spl0_333
| spl0_342
| ~ spl0_80
| ~ spl0_6
| ~ spl0_33 ),
inference(rat,[],[s3919,s1219,s3196,s4709,s3916]) ).
cnf(s5091,plain,
( spl0_342
| spl0_170
| ~ spl0_17
| ~ spl0_80
| ~ spl0_336
| spl0_57
| spl0_11 ),
inference(rat,[],[s4175,s3788,s4820,s4110,s3347,s4216,s4885,s1229,s5090,s1578,s1749,s4165,s4164,s37,s2134,s2388,s4926,s3083,s5088,s5000,s33,s5078,s5066]) ).
cnf(s5092,plain,
( spl0_120
| ~ spl0_245
| ~ spl0_289
| ~ spl0_383
| ~ spl0_80
| spl0_142
| ~ spl0_336
| spl0_57
| spl0_11 ),
inference(rat,[],[s4110,s2716,s3788,s1178,s4187,s3331,s2832,s4967,s2795,s2772,s4968,s1837,s982,s1844,s2736,s2686,s5091,s1505,s4682,s2194,s141,s4728,s4088,s4974,s3925,s432,s2261,s3070,s5089,s4164,s37,s2134,s2388,s4926,s3083,s5000,s33,s4133,s1452,s104,s9,s18,s3871,s3787,s3318,s5088,s1578,s5065,s5066,s5053,s5077]) ).
cnf(s5093,plain,
( spl0_318
| ~ spl0_80
| ~ spl0_336
| ~ spl0_185
| spl0_11 ),
inference(rat,[],[s982,s4968,s2736,s2795,s2080,s4967,s3078,s4077,s1505,s2717,s2476,s3784,s4131,s1502,s3833,s2232,s5092,s963,s104,s9,s18,s3871,s2763,s3787,s4969,s4809,s3855,s2554,s4112,s3344,s4684,s4721,s1578,s141,s1149,s4728,s4088,s3115,s3318,s997,s2083,s4785,s4974,s3925,s432,s2261,s3070,s5089,s4164,s37,s2134,s2388,s4926,s3083,s5088,s5000,s33,s5065,s5053,s5063,s5077,s5066]) ).
cnf(s5094,plain,
( ~ spl0_80
| ~ spl0_336
| ~ spl0_185
| spl0_11 ),
inference(rat,[],[s2394,s3855,s3813,s4969,s3729,s2788,s1750,s1134,s5093,s3925,s2586,s4088,s3115,s5089,s5088,s33,s5063,s5078,s5053]) ).
cnf(s5095,plain,
( spl0_318
| ~ spl0_372
| spl0_422
| ~ spl0_305
| ~ spl0_38
| spl0_199
| ~ spl0_23
| spl0_295
| ~ spl0_41 ),
inference(rat,[],[s1829,s4967,s2598,s1670,s4969,s3784,s4214,s4721]) ).
cnf(s5096,plain,
( ~ spl0_333
| ~ spl0_367
| spl0_422
| spl0_389
| ~ spl0_305
| ~ spl0_38
| ~ spl0_23
| ~ spl0_351
| ~ spl0_41 ),
inference(rat,[],[s3784,s1670,s3705,s4967,s4968,s3594,s2772]) ).
cnf(s5097,plain,
( ~ spl0_336
| ~ spl0_185
| spl0_11 ),
inference(rat,[],[s4968,s4763,s982,s2358,s3316,s2706,s5096,s5095,s2069,s4709,s4091,s2678,s1667,s437,s2205,s1837,s3776,s4131,s3078,s1502,s1505,s587,s104,s3790,s2973,s2984,s9,s18,s2999,s2060,s249,s1145,s2018,s4133,s4182,s3823,s4809,s2520,s2534,s3217,s3867,s4111,s4772,s5094,s150,s2134,s2083,s2388,s4785,s4926,s3083,s1578,s141,s4181,s4728,s4088,s3115,s5089,s5088,s33,s5063,s5077,s5053,s5065,s5066]) ).
cnf(s5098,plain,
( ~ spl0_185
| spl0_11 ),
inference(rat,[],[s1731,s2083,s4993,s2606,s3867,s2972,s4809,s3820,s5097,s4181,s3115,s33,s5088,s5089,s5053,s5077,s5065]) ).
cnf(s5099,plain,
( ~ spl0_80
| ~ spl0_336
| spl0_11 ),
inference(rat,[],[s3763,s2125,s4086,s2085,s135,s4974,s1300,s2525,s33,s5089,s4661,s5098,s5077,s5053]) ).
cnf(s5100,plain,
( ~ spl0_336
| spl0_11 ),
inference(rat,[],[s2138,s4086,s18,s3763,s3952,s2125,s2085,s4838,s3823,s3217,s5099,s150,s2134,s2388,s4926,s3083,s2525,s33,s1578,s5088,s4661,s5098,s5079,s5077,s5063,s5066]) ).
cnf(s5101,plain,
( ~ spl0_333
| spl0_342
| spl0_11 ),
inference(rat,[],[s4967,s4077,s1991,s3785,s4861,s3262,s3905,s3853,s33,s4617,s2137,s1300,s3867,s2876,s1134,s3687,s4702,s2606,s141,s5089,s5088,s3734,s1328,s3600,s1337,s4661,s5098,s5100,s5077,s5053,s5065]) ).
cnf(s5102,plain,
( spl0_342
| spl0_11 ),
inference(rat,[],[s3235,s4885,s1079,s1229,s1641,s5101,s2876,s60,s2434,s4751,s4684,s1134,s3687,s4702,s2606,s1328,s3600,s1337,s4661,s5098,s5100,s141,s5089,s5088,s5078]) ).
cnf(s5103,plain,
( spl0_120
| spl0_11 ),
inference(rat,[],[s3912,s1797,s705,s1778,s1842,s4076,s4110,s2718,s1554,s4249,s4968,s3249,s3820,s532,s1769,s3543,s4682,s4223,s4664,s1731,s4993,s1380,s3334,s150,s3205,s1844,s5102,s4728,s4082,s2138,s33,s37,s4990,s3867,s2876,s1134,s3687,s4702,s2606,s141,s5088,s4899,s3734,s1328,s3600,s1337,s4661,s5098,s5100,s5089,s5077,s5065,s5079,s5053,s5078]) ).
cnf(s5104,plain,
spl0_11,
inference(rat,[],[s1797,s3912,s1778,s1641,s4076,s1079,s2718,s4249,s4968,s2084,s2681,s4923,s2711,s2551,s1937,s5103,s1844,s5102,s1380,s3334,s37,s150,s1731,s4990,s4993,s3867,s2876,s1134,s4728,s3687,s4082,s4702,s2138,s2606,s3734,s1328,s3600,s1337,s5100,s4661,s5098,s141,s5089,s5088,s33,s5053,s5077,s5065,s5079]) ).
cnf(s5106,plain,
~ spl0_74,
inference(rat,[],[s4908,s5104]) ).
cnf(s5107,plain,
~ spl0_245,
inference(rat,[],[s1508,s5077,s5104]) ).
cnf(s5108,plain,
~ spl0_237,
inference(rat,[],[s715,s5079,s5104]) ).
cnf(s5109,plain,
~ spl0_366,
inference(rat,[],[s4835,s5108]) ).
cnf(s5111,plain,
~ spl0_242,
inference(rat,[],[s2016,s5104,s5108]) ).
cnf(s5112,plain,
spl0_25,
inference(rat,[],[s5070,s5108]) ).
cnf(s5113,plain,
~ spl0_45,
inference(rat,[],[s2134,s5109]) ).
cnf(s5114,plain,
~ spl0_30,
inference(rat,[],[s1602,s5111]) ).
cnf(s5116,plain,
~ spl0_115,
inference(rat,[],[s141,s5112]) ).
cnf(s5117,plain,
~ spl0_9,
inference(rat,[],[s3082,s5104,s5112]) ).
cnf(s5118,plain,
spl0_33,
inference(rat,[],[s39,s5104,s5112]) ).
cnf(s5119,plain,
spl0_3,
inference(rat,[],[s150,s5113]) ).
cnf(s5120,plain,
spl0_46,
inference(rat,[],[s37,s5113]) ).
cnf(s5121,plain,
spl0_17,
inference(rat,[],[s18,s5114]) ).
cnf(s5125,plain,
spl0_4,
inference(rat,[],[s4995,s5119,s5114]) ).
cnf(s5127,plain,
~ spl0_47,
inference(rat,[],[s4785,s5112,s5117]) ).
cnf(s5128,plain,
~ spl0_136,
inference(rat,[],[s4780,s5119]) ).
cnf(s5131,plain,
~ spl0_101,
inference(rat,[],[s4805,s5121]) ).
cnf(s5135,plain,
spl0_20,
inference(rat,[],[s3790,s5125,s5121]) ).
cnf(s5136,plain,
spl0_48,
inference(rat,[],[s3758,s5119,s5125]) ).
cnf(s5139,plain,
( spl0_333
| spl0_118 ),
inference(rat,[],[s1997,s1277,s3347,s2775,s1531,s4968,s987,s3191,s3316,s1229,s3215,s1513,s2973,s587,s4708,s2483,s997,s2083,s2624,s5028,s2261,s2269,s2053,s1470,s1145,s2751,s2752,s3213,s4679,s5121,s5136,s5104,s5128,s5053,s5125,s5065,s5112,s5119,s5127,s5135]) ).
cnf(s5140,plain,
spl0_118,
inference(rat,[],[s4746,s2011,s4967,s1079,s3172,s3262,s1842,s5139,s2788,s4969,s3799,s1172,s3729,s4682,s3813,s1925,s207,s2500,s2624,s208,s5028,s2483,s2261,s997,s1470,s2269,s1134,s2083,s5081,s1145,s4070,s2053,s2752,s2751,s3213,s4679,s5125,s5078,s5053,s5104,s5121,s5063,s5128,s5112,s5127,s5077,s5119,s5065]) ).
cnf(s5146,plain,
( ~ spl0_290
| spl0_142
| ~ spl0_80 ),
inference(rat,[],[s3408,s2768,s2751,s2018,s2232,s4682,s1172,s997,s5065,s5140,s5116,s5125]) ).
cnf(s5147,plain,
( ~ spl0_336
| ~ spl0_80 ),
inference(rat,[],[s3952,s4661,s1669,s1149,s4133,s2763,s1452,s4969,s5146,s4086,s2085,s3925,s135,s1300,s5121,s5065,s5140,s5107,s5053,s5108,s5112,s5077]) ).
cnf(s5148,plain,
( spl0_305
| ~ spl0_142
| ~ spl0_80 ),
inference(rat,[],[s5090,s1845,s4676,s2434,s4751,s2083,s4165,s1755,s4684,s2836,s4617,s1337,s5147,s5118,s5125,s5065,s5120,s5077,s5127]) ).
cnf(s5149,plain,
( ~ spl0_142
| ~ spl0_80 ),
inference(rat,[],[s4154,s2716,s4968,s3347,s2084,s4287,s4923,s5148,s4708,s213,s2876,s3296,s2836,s1948,s4617,s1337,s5147,s5108,s5121,s5117,s5053,s5063,s5131,s5112,s5104,s5140,s5077]) ).
cnf(s5150,plain,
( spl0_305
| ~ spl0_80 ),
inference(rat,[],[s5090,s1845,s4676,s2434,s4751,s1149,s2763,s4165,s1755,s4684,s1134,s2788,s4969,s5146,s5149,s3925,s1337,s5147,s5118,s5125,s5065,s5120,s5140,s5078,s5107]) ).
cnf(s5151,plain,
~ spl0_80,
inference(rat,[],[s4091,s4154,s1311,s4968,s2566,s3249,s2080,s3205,s5150,s2232,s4682,s213,s2854,s1669,s4708,s3952,s4661,s1149,s4133,s2763,s1452,s1328,s4969,s2606,s5146,s5149,s1337,s5147,s135,s3925,s1300,s5065,s5112,s5116,s5053,s5063,s5121,s5140,s5107,s5077]) ).
cnf(s5156,plain,
spl0_120,
inference(rat,[],[s3823,s5125,s5119,s5151]) ).
cnf(s5159,plain,
~ spl0_114,
inference(rat,[],[s252,s5053,s5156]) ).
cnf(s5160,plain,
spl0_145,
inference(rat,[],[s2060,s5106,s5053,s5156]) ).
cnf(s5161,plain,
~ spl0_297,
inference(rat,[],[s3833,s5140,s5106,s5156]) ).
cnf(s5163,plain,
spl0_23,
inference(rat,[],[s3296,s5104,s5112,s5159]) ).
cnf(s5164,plain,
~ spl0_377,
inference(rat,[],[s3419,s5140,s5112,s5159]) ).
cnf(s5165,plain,
spl0_112,
inference(rat,[],[s2370,s5112,s5160]) ).
cnf(s5167,plain,
spl0_295,
inference(rat,[],[s2018,s5140,s5160]) ).
cnf(s5168,plain,
~ spl0_142,
inference(rat,[],[s1948,s5140,s5163]) ).
cnf(s5172,plain,
~ spl0_154,
inference(rat,[],[s4099,s5151,s5165]) ).
cnf(s5174,plain,
spl0_135,
inference(rat,[],[s207,s5151,s5165]) ).
cnf(s5177,plain,
~ spl0_423,
inference(rat,[],[s2751,s5065,s5167]) ).
cnf(s5178,plain,
spl0_451,
inference(rat,[],[s2768,s5168,s5065,s5167]) ).
cnf(s5191,plain,
spl0_27,
inference(rat,[],[s208,s5063,s5121,s5174]) ).
cnf(s5193,plain,
~ spl0_290,
inference(rat,[],[s3408,s5177,s5178]) ).
cnf(s5198,plain,
spl0_289,
inference(rat,[],[s4969,s5193]) ).
cnf(s5200,plain,
~ spl0_468,
inference(rat,[],[s3754,s5156,s5198]) ).
cnf(s5201,plain,
~ spl0_15,
inference(rat,[],[s963,s5168,s5161,s5198]) ).
cnf(s5202,plain,
~ spl0_188,
inference(rat,[],[s3687,s5140,s5116,s5200]) ).
cnf(s5203,plain,
~ spl0_324,
inference(rat,[],[s4202,s5140,s5106,s5200]) ).
cnf(s5205,plain,
spl0_16,
inference(rat,[],[s9,s5121,s5201]) ).
cnf(s5206,plain,
~ spl0_318,
inference(rat,[],[s1134,s5202]) ).
cnf(s5207,plain,
~ spl0_185,
inference(rat,[],[s1149,s5203]) ).
cnf(s5211,plain,
~ spl0_354,
inference(rat,[],[s1669,s5065,s5167,s5205]) ).
cnf(s5213,plain,
spl0_183,
inference(rat,[],[s4684,s5206]) ).
cnf(s5215,plain,
~ spl0_306,
inference(rat,[],[s1380,s5172,s5206]) ).
cnf(s5216,plain,
spl0_143,
inference(rat,[],[s4661,s5207]) ).
cnf(s5220,plain,
spl0_381,
inference(rat,[],[s4751,s5207,s5213]) ).
cnf(s5226,plain,
spl0_52,
inference(rat,[],[s1805,s5207,s5220]) ).
cnf(s5229,plain,
~ spl0_304,
inference(rat,[],[s2718,s1079,s3182,s2591,s5127,s5226,s5191]) ).
cnf(s5230,plain,
spl0_305,
inference(rat,[],[s4680,s5229]) ).
cnf(s5239,plain,
~ spl0_373,
inference(rat,[],[s3205,s5112,s5159,s5230]) ).
cnf(s5240,plain,
spl0_342,
inference(rat,[],[s2080,s5160,s5230]) ).
cnf(s5248,plain,
~ spl0_291,
inference(rat,[],[s3249,s5211,s5239]) ).
cnf(s5249,plain,
~ spl0_315,
inference(rat,[],[s2566,s5065,s5240]) ).
cnf(s5254,plain,
spl0_292,
inference(rat,[],[s4968,s5248]) ).
cnf(s5255,plain,
~ spl0_367,
inference(rat,[],[s1311,s5205,s5249]) ).
cnf(s5261,plain,
spl0_307,
inference(rat,[],[s4249,s5215,s5216,s5254]) ).
cnf(s5263,plain,
spl0_57,
inference(rat,[],[s4175,s5261,s5255]) ).
cnf(s5264,plain,
~ spl0_293,
inference(rat,[],[s4176,s5164,s5255]) ).
cnf(s5279,plain,
~ spl0_420,
inference(rat,[],[s2778,s5261,s5053,s5263]) ).
cnf(s5280,plain,
spl0_294,
inference(rat,[],[s4967,s5264]) ).
cnf(s5285,plain,
$false,
inference(rat,[],[s2832,s5240,s5167,s5279,s5280]) ).
thf(f54360,plain,
$false,
inference(avatar_sat_refutation,[],[s5285]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA161^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 % Computer : n002.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Tue Sep 29 19:08:38 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running higher-order theorem proving
% 0.25/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.65/0.47 % (1718802)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.65/0.47 % (1718811)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=189264894:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.65/0.47 % (1718813)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.65/0.47 % (1718813)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.65/0.47 % (1718811)Instruction limit reached!
% 0.65/0.47 % (1718811)------------------------------
% 0.65/0.47 % (1718811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.47 % (1718811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.47 % (1718811)CaDiCaL version: 2.1.3
% 0.65/0.47 % (1718811)Termination reason: Instruction limit
% 0.65/0.47 % (1718811)Termination phase: Saturation
% 0.65/0.47 % (1718811)Time elapsed: 0.011 s
% 0.65/0.47 % (1718811)Peak memory usage: 11 MB
% 0.65/0.47 % (1718811)Instructions burned: 24 (million)
% 0.65/0.47 % (1718807)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1417382816:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.65/0.47 % (1718808)lrs+10_16_si=on:nwc=1.5:random_seed=1101122748:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.65/0.47 % (1718809)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=142566691:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.65/0.47 % (1718812)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=257382378:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.65/0.47 % (1718810)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=4195660750:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.65/0.47 % (1718813)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=1409706683:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.65/0.47 % (1718809)Instruction limit reached!
% 0.65/0.47 % (1718809)------------------------------
% 0.65/0.47 % (1718809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.47 % (1718809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.47 % (1718809)CaDiCaL version: 2.1.3
% 0.65/0.47 % (1718809)Termination reason: Instruction limit
% 0.65/0.47 % (1718809)Termination phase: Saturation
% 0.65/0.47 % (1718809)Time elapsed: 0.004 s
% 0.65/0.47 % (1718809)Peak memory usage: 12 MB
% 0.65/0.47 % (1718809)Instructions burned: 3 (million)
% 0.65/0.47 % (1718808)Instruction limit reached!
% 0.65/0.47 % (1718808)------------------------------
% 0.65/0.47 % (1718808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.47 % (1718808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.47 % (1718808)CaDiCaL version: 2.1.3
% 0.65/0.47 % (1718808)Termination reason: Instruction limit
% 0.65/0.47 % (1718808)Termination phase: Saturation
% 0.65/0.47 % (1718808)Time elapsed: 0.015 s
% 0.65/0.47 % (1718808)Peak memory usage: 12 MB
% 0.65/0.47 % (1718808)Instructions burned: 18 (million)
% 0.65/0.47 % (1718818)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=127125650:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.65/0.47 % (1718818)Instruction limit reached!
% 0.65/0.47 % (1718818)------------------------------
% 0.65/0.47 % (1718818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.47 % (1718818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.47 % (1718818)CaDiCaL version: 2.1.3
% 0.65/0.47 % (1718818)Termination reason: Instruction limit
% 0.65/0.47 % (1718818)Termination phase: Saturation
% 0.65/0.47 % (1718818)Time elapsed: 0.002 s
% 0.65/0.47 % (1718818)Peak memory usage: 12 MB
% 0.65/0.47 % (1718818)Instructions burned: 3 (million)
% 0.65/0.47 % (1718824)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.65/0.52 % (1718824)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3291593077:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.65/0.52 % (1718824)Instruction limit reached!
% 0.65/0.52 % (1718824)------------------------------
% 0.65/0.52 % (1718824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.52 % (1718824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.52 % (1718824)CaDiCaL version: 2.1.3
% 0.65/0.52 % (1718824)Termination reason: Instruction limit
% 0.65/0.52 % (1718824)Termination phase: Saturation
% 0.65/0.52 % (1718824)Time elapsed: 0.004 s
% 0.65/0.52 % (1718824)Peak memory usage: 12 MB
% 0.65/0.52 % (1718824)Instructions burned: 8 (million)
% 0.65/0.52 % (1718825)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4107203904:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.65/0.52 % (1718822)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3960303690:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.65/0.52 % (1718827)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.65/0.52 % (1718827)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.65/0.52 % (1718827)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=375866360:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.65/0.52 % (1718812)Instruction limit reached!
% 0.65/0.52 % (1718812)------------------------------
% 0.65/0.52 % (1718812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.52 % (1718812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.52 % (1718812)CaDiCaL version: 2.1.3
% 0.65/0.52 % (1718812)Termination reason: Instruction limit
% 0.65/0.52 % (1718812)Termination phase: Saturation
% 0.65/0.52 % (1718812)Time elapsed: 0.061 s
% 0.65/0.52 % (1718812)Peak memory usage: 12 MB
% 0.65/0.52 % (1718812)Instructions burned: 75 (million)
% 0.65/0.52 % (1718822)Instruction limit reached!
% 0.65/0.52 % (1718822)------------------------------
% 0.65/0.52 % (1718822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.52 % (1718822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.52 % (1718822)CaDiCaL version: 2.1.3
% 0.65/0.52 % (1718822)Termination reason: Instruction limit
% 0.65/0.52 % (1718822)Termination phase: Saturation
% 0.65/0.52 % (1718822)Time elapsed: 0.004 s
% 0.65/0.52 % (1718822)Peak memory usage: 12 MB
% 0.65/0.52 % (1718822)Instructions burned: 5 (million)
% 0.65/0.52 % (1718807)Instruction limit reached!
% 0.65/0.52 % (1718807)------------------------------
% 0.65/0.52 % (1718807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.52 % (1718807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.52 % (1718807)CaDiCaL version: 2.1.3
% 0.65/0.52 % (1718807)Termination reason: Instruction limit
% 0.65/0.52 % (1718807)Termination phase: Saturation
% 0.65/0.52 % (1718807)Time elapsed: 0.065 s
% 0.65/0.52 % (1718807)Peak memory usage: 12 MB
% 0.65/0.52 % (1718807)Instructions burned: 88 (million)
% 0.65/0.52 % (1718825)Instruction limit reached!
% 0.65/0.52 % (1718825)------------------------------
% 0.65/0.52 % (1718825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.52 % (1718825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.52 % (1718825)CaDiCaL version: 2.1.3
% 0.65/0.52 % (1718825)Termination reason: Instruction limit
% 0.65/0.52 % (1718825)Termination phase: Saturation
% 0.65/0.52 % (1718825)Time elapsed: 0.013 s
% 0.65/0.52 % (1718825)Peak memory usage: 12 MB
% 0.65/0.52 % (1718825)Instructions burned: 12 (million)
% 0.65/0.52 % (1718827)Instruction limit reached!
% 0.65/0.52 % (1718827)------------------------------
% 0.65/0.52 % (1718827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.52 % (1718827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.52 % (1718827)CaDiCaL version: 2.1.3
% 0.65/0.52 % (1718827)Termination reason: Instruction limit
% 0.65/0.52 % (1718827)Termination phase: Saturation
% 1.46/0.56 % (1718827)Time elapsed: 0.013 s
% 1.46/0.56 % (1718827)Peak memory usage: 12 MB
% 1.46/0.56 % (1718827)Instructions burned: 30 (million)
% 1.46/0.56 % (1718832)lrs+10_1_si=on:cs=on:random_seed=552864053:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.46/0.56 % (1718832)Instruction limit reached!
% 1.46/0.56 % (1718832)------------------------------
% 1.46/0.56 % (1718832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (1718832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (1718832)CaDiCaL version: 2.1.3
% 1.46/0.56 % (1718832)Termination reason: Instruction limit
% 1.46/0.56 % (1718832)Termination phase: Saturation
% 1.46/0.56 % (1718832)Time elapsed: 0.005 s
% 1.46/0.56 % (1718832)Peak memory usage: 12 MB
% 1.46/0.56 % (1718832)Instructions burned: 9 (million)
% 1.46/0.56 % (1718833)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.46/0.56 % (1718831)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=3899305007:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.46/0.56 % (1718833)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=1415088145:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.46/0.56 % (1718834)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3849980296:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.46/0.56 % (1718833)Instruction limit reached!
% 1.46/0.56 % (1718833)------------------------------
% 1.46/0.56 % (1718833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (1718833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (1718833)CaDiCaL version: 2.1.3
% 1.46/0.56 % (1718833)Termination reason: Instruction limit
% 1.46/0.56 % (1718833)Termination phase: Saturation
% 1.46/0.56 % (1718833)Time elapsed: 0.002 s
% 1.46/0.56 % (1718833)Peak memory usage: 11 MB
% 1.46/0.56 % (1718833)Instructions burned: 2 (million)
% 1.46/0.56 % (1718834)Refutation not found, incomplete strategy
% 1.46/0.56 % (1718834)------------------------------
% 1.46/0.56 % (1718834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (1718834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (1718834)CaDiCaL version: 2.1.3
% 1.46/0.56 % (1718834)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.56 % (1718834)Time elapsed: 0.001 s
% 1.46/0.56 % (1718834)Peak memory usage: 12 MB
% 1.46/0.56 % (1718834)------------------------------
% 1.46/0.56 % (1718834)------------------------------
% 1.46/0.56 % (1718835)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2151722017:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.46/0.56 % (1718835)Refutation not found, incomplete strategy
% 1.46/0.56 % (1718835)------------------------------
% 1.46/0.56 % (1718835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (1718835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (1718835)CaDiCaL version: 2.1.3
% 1.46/0.56 % (1718835)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.56 % (1718835)Time elapsed: 0.001 s
% 1.46/0.56 % (1718835)Peak memory usage: 12 MB
% 1.46/0.56 % (1718813)Instruction limit reached!
% 1.46/0.56 % (1718813)------------------------------
% 1.46/0.56 % (1718813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.56 % (1718813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.56 % (1718813)CaDiCaL version: 2.1.3
% 1.46/0.56 % (1718813)Termination reason: Instruction limit
% 1.46/0.56 % (1718813)Termination phase: Saturation
% 1.46/0.56 % (1718813)Time elapsed: 0.108 s
% 1.46/0.56 % (1718813)Peak memory usage: 12 MB
% 1.46/0.56 % (1718813)Instructions burned: 157 (million)
% 1.46/0.56 % (1718837)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3233820938:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.46/0.56 % (1718835)------------------------------
% 1.46/0.56 % (1718835)------------------------------
% 1.46/0.56 % (1718837)Refutation not found, incomplete strategy
% 1.87/0.61 % (1718837)------------------------------
% 1.87/0.61 % (1718837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.61 % (1718837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.61 % (1718837)CaDiCaL version: 2.1.3
% 1.87/0.61 % (1718837)Termination reason: Refutation not found, incomplete strategy
% 1.87/0.61 % (1718837)Time elapsed: 0.001 s
% 1.87/0.61 % (1718837)Peak memory usage: 11 MB
% 1.87/0.61 % (1718837)------------------------------
% 1.87/0.61 % (1718837)------------------------------
% 1.87/0.61 % (1718841)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2051323245:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.87/0.61 % (1718841)Instruction limit reached!
% 1.87/0.61 % (1718841)------------------------------
% 1.87/0.61 % (1718841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.61 % (1718841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.61 % (1718841)CaDiCaL version: 2.1.3
% 1.87/0.61 % (1718841)Termination reason: Instruction limit
% 1.87/0.61 % (1718841)Termination phase: Saturation
% 1.87/0.61 % (1718841)Time elapsed: 0.007 s
% 1.87/0.61 % (1718841)Peak memory usage: 12 MB
% 1.87/0.61 % (1718841)Instructions burned: 14 (million)
% 1.87/0.61 % (1718842)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4231615909:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.87/0.61 % (1718842)Refutation not found, incomplete strategy
% 1.87/0.61 % (1718842)------------------------------
% 1.87/0.61 % (1718842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.61 % (1718842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.61 % (1718842)CaDiCaL version: 2.1.3
% 1.87/0.61 % (1718842)Termination reason: Refutation not found, incomplete strategy
% 1.87/0.61 % (1718842)Time elapsed: 0.001 s
% 1.87/0.61 % (1718842)Peak memory usage: 11 MB
% 1.87/0.61 % (1718842)------------------------------
% 1.87/0.61 % (1718842)------------------------------
% 1.87/0.61 % (1718845)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2006942178:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.87/0.61 % (1718846)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=516847313: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)
% 1.87/0.61 % (1718846)Refutation not found, incomplete strategy
% 1.87/0.61 % (1718846)------------------------------
% 1.87/0.61 % (1718846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.61 % (1718846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.61 % (1718846)CaDiCaL version: 2.1.3
% 1.87/0.61 % (1718846)Termination reason: Refutation not found, incomplete strategy
% 1.87/0.61 % (1718846)Time elapsed: 0.001 s
% 1.87/0.61 % (1718846)Peak memory usage: 11 MB
% 1.87/0.61 % (1718847)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=259976118:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.87/0.61 % (1718846)------------------------------
% 1.87/0.61 % (1718846)------------------------------
% 1.87/0.61 % (1718849)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=911752515:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.87/0.61 % (1718849)Instruction limit reached!
% 1.87/0.61 % (1718849)------------------------------
% 1.87/0.61 % (1718849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.61 % (1718849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.61 % (1718849)CaDiCaL version: 2.1.3
% 1.87/0.61 % (1718849)Termination reason: Instruction limit
% 1.87/0.61 % (1718849)Termination phase: Saturation
% 1.87/0.61 % (1718849)Time elapsed: 0.009 s
% 1.87/0.61 % (1718845)Instruction limit reached!
% 1.87/0.61 % (1718845)------------------------------
% 1.87/0.61 % (1718845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.61 % (1718849)Peak memory usage: 11 MB
% 1.87/0.61 % (1718849)Instructions burned: 24 (million)
% 1.87/0.61 % (1718845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.61 % (1718845)CaDiCaL version: 2.1.3
% 1.87/0.61 % (1718845)Termination reason: Instruction limit
% 2.12/0.65 % (1718845)Termination phase: Saturation
% 2.12/0.65 % (1718845)Time elapsed: 0.015 s
% 2.12/0.65 % (1718845)Peak memory usage: 12 MB
% 2.12/0.65 % (1718845)Instructions burned: 15 (million)
% 2.12/0.65 % (1718831)Instruction limit reached!
% 2.12/0.65 % (1718831)------------------------------
% 2.12/0.65 % (1718831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.65 % (1718831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.65 % (1718831)CaDiCaL version: 2.1.3
% 2.12/0.65 % (1718831)Termination reason: Instruction limit
% 2.12/0.65 % (1718831)Termination phase: Saturation
% 2.12/0.65 % (1718831)Time elapsed: 0.071 s
% 2.12/0.65 % (1718831)Peak memory usage: 12 MB
% 2.12/0.65 % (1718831)Instructions burned: 86 (million)
% 2.12/0.65 % (1718847)Instruction limit reached!
% 2.12/0.65 % (1718847)------------------------------
% 2.12/0.65 % (1718847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.65 % (1718847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.65 % (1718847)CaDiCaL version: 2.1.3
% 2.12/0.65 % (1718847)Termination reason: Instruction limit
% 2.12/0.65 % (1718847)Termination phase: Saturation
% 2.12/0.65 % (1718847)Time elapsed: 0.023 s
% 2.12/0.65 % (1718847)Peak memory usage: 12 MB
% 2.12/0.65 % (1718847)Instructions burned: 26 (million)
% 2.12/0.65 % (1718857)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.12/0.65 % (1718856)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.12/0.65 % (1718856)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.12/0.65 % (1718857)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=3957243040:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.12/0.65 % (1718853)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1120570501:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.12/0.65 % (1718856)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=2506029233:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.12/0.65 % (1718857)Instruction limit reached!
% 2.12/0.65 % (1718857)------------------------------
% 2.12/0.65 % (1718857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.65 % (1718857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.65 % (1718857)CaDiCaL version: 2.1.3
% 2.12/0.65 % (1718857)Termination reason: Instruction limit
% 2.12/0.65 % (1718857)Termination phase: Saturation
% 2.12/0.65 % (1718857)Time elapsed: 0.005 s
% 2.12/0.65 % (1718857)Peak memory usage: 12 MB
% 2.12/0.65 % (1718857)Instructions burned: 10 (million)
% 2.12/0.65 % (1718859)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1451592328:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.12/0.65 % (1718858)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=1203408054:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.12/0.65 % (1718856)Instruction limit reached!
% 2.12/0.65 % (1718856)------------------------------
% 2.12/0.65 % (1718856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.65 % (1718856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.65 % (1718856)CaDiCaL version: 2.1.3
% 2.12/0.65 % (1718856)Termination reason: Instruction limit
% 2.12/0.65 % (1718856)Termination phase: Saturation
% 2.12/0.65 % (1718856)Time elapsed: 0.014 s
% 2.12/0.65 % (1718856)Peak memory usage: 12 MB
% 2.12/0.65 % (1718856)Instructions burned: 14 (million)
% 2.12/0.65 % (1718864)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3572880815:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.12/0.65 % (1718859)Instruction limit reached!
% 2.12/0.65 % (1718859)------------------------------
% 2.12/0.65 % (1718859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.72 % (1718859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.72 % (1718859)CaDiCaL version: 2.1.3
% 2.52/0.72 % (1718859)Termination reason: Instruction limit
% 2.52/0.72 % (1718859)Termination phase: Saturation
% 2.52/0.72 % (1718859)Time elapsed: 0.009 s
% 2.52/0.72 % (1718859)Peak memory usage: 12 MB
% 2.52/0.72 % (1718859)Instructions burned: 8 (million)
% 2.52/0.72 % (1718860)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1942468398:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.52/0.72 % (1718864)Instruction limit reached!
% 2.52/0.72 % (1718864)------------------------------
% 2.52/0.72 % (1718864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.72 % (1718864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.72 % (1718864)CaDiCaL version: 2.1.3
% 2.52/0.72 % (1718864)Termination reason: Instruction limit
% 2.52/0.72 % (1718864)Termination phase: Saturation
% 2.52/0.72 % (1718864)Time elapsed: 0.009 s
% 2.52/0.72 % (1718864)Peak memory usage: 12 MB
% 2.52/0.72 % (1718864)Instructions burned: 20 (million)
% 2.52/0.72 % (1718858)Instruction limit reached!
% 2.52/0.72 % (1718858)------------------------------
% 2.52/0.72 % (1718858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.72 % (1718858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.72 % (1718858)CaDiCaL version: 2.1.3
% 2.52/0.72 % (1718858)Termination reason: Instruction limit
% 2.52/0.72 % (1718858)Termination phase: Saturation
% 2.52/0.72 % (1718858)Time elapsed: 0.029 s
% 2.52/0.72 % (1718858)Peak memory usage: 12 MB
% 2.52/0.72 % (1718858)Instructions burned: 31 (million)
% 2.52/0.72 % (1718853)Instruction limit reached!
% 2.52/0.72 % (1718853)------------------------------
% 2.52/0.72 % (1718853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.72 % (1718853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.72 % (1718853)CaDiCaL version: 2.1.3
% 2.52/0.72 % (1718853)Termination reason: Instruction limit
% 2.52/0.72 % (1718853)Termination phase: Saturation
% 2.52/0.72 % (1718853)Time elapsed: 0.044 s
% 2.52/0.72 % (1718853)Peak memory usage: 12 MB
% 2.52/0.72 % (1718853)Instructions burned: 61 (million)
% 2.52/0.72 % (1718860)Instruction limit reached!
% 2.52/0.72 % (1718860)------------------------------
% 2.52/0.72 % (1718860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.72 % (1718860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.72 % (1718860)CaDiCaL version: 2.1.3
% 2.52/0.72 % (1718860)Termination reason: Instruction limit
% 2.52/0.72 % (1718860)Termination phase: Saturation
% 2.52/0.72 % (1718860)Time elapsed: 0.019 s
% 2.52/0.72 % (1718860)Peak memory usage: 12 MB
% 2.52/0.72 % (1718860)Instructions burned: 23 (million)
% 2.52/0.72 % (1718871)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1824442180:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.52/0.72 % (1718871)Refutation not found, incomplete strategy
% 2.52/0.72 % (1718871)------------------------------
% 2.52/0.72 % (1718871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.72 % (1718871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.72 % (1718871)CaDiCaL version: 2.1.3
% 2.52/0.72 % (1718871)Termination reason: Refutation not found, incomplete strategy
% 2.52/0.72 % (1718871)Time elapsed: 0.0000 s
% 2.52/0.72 % (1718871)Peak memory usage: 11 MB
% 2.52/0.72 % (1718871)------------------------------
% 2.52/0.72 % (1718871)------------------------------
% 2.52/0.72 % (1718867)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1280213503:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.52/0.72 % (1718869)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3418195956:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.52/0.72 % (1718874)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=560901778:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.52/0.72 % (1718874)Refutation not found, incomplete strategy
% 2.52/0.72 % (1718874)------------------------------
% 2.52/0.72 % (1718874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.72 % (1718874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.81 % (1718874)CaDiCaL version: 2.1.3
% 2.71/0.81 % (1718874)Termination reason: Refutation not found, incomplete strategy
% 2.71/0.81 % (1718874)Time elapsed: 0.001 s
% 2.71/0.81 % (1718874)Peak memory usage: 11 MB
% 2.71/0.81 % (1718874)------------------------------
% 2.71/0.81 % (1718874)------------------------------
% 2.71/0.81 % (1718873)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.71/0.81 % (1718872)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2233412473:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.71/0.81 % (1718873)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2809966703:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.71/0.81 % (1718877)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=787546175:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.71/0.81 % (1718877)Refutation not found, incomplete strategy
% 2.71/0.81 % (1718877)------------------------------
% 2.71/0.81 % (1718877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.81 % (1718877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.81 % (1718877)CaDiCaL version: 2.1.3
% 2.71/0.81 % (1718877)Termination reason: Refutation not found, incomplete strategy
% 2.71/0.81 % (1718877)Time elapsed: 0.001 s
% 2.71/0.81 % (1718877)Peak memory usage: 12 MB
% 2.71/0.81 % (1718873)Instruction limit reached!
% 2.71/0.81 % (1718873)------------------------------
% 2.71/0.81 % (1718873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.81 % (1718873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.81 % (1718873)CaDiCaL version: 2.1.3
% 2.71/0.81 % (1718873)Termination reason: Instruction limit
% 2.71/0.81 % (1718873)Termination phase: Saturation
% 2.71/0.81 % (1718873)Time elapsed: 0.007 s
% 2.71/0.81 % (1718873)Peak memory usage: 12 MB
% 2.71/0.81 % (1718873)Instructions burned: 7 (million)
% 2.71/0.81 % (1718877)------------------------------
% 2.71/0.81 % (1718877)------------------------------
% 2.71/0.81 % (1718881)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.71/0.81 % (1718881)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3758067830:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.71/0.81 % (1718881)Refutation not found, incomplete strategy
% 2.71/0.81 % (1718881)------------------------------
% 2.71/0.81 % (1718881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.81 % (1718881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.81 % (1718881)CaDiCaL version: 2.1.3
% 2.71/0.81 % (1718881)Termination reason: Refutation not found, incomplete strategy
% 2.71/0.81 % (1718881)Time elapsed: 0.001 s
% 2.71/0.81 % (1718881)Peak memory usage: 11 MB
% 2.71/0.81 % (1718881)Instructions burned: 2 (million)
% 2.71/0.81 % (1718881)------------------------------
% 2.71/0.81 % (1718881)------------------------------
% 2.71/0.81 % (1718886)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3286356458:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.71/0.81 % (1718872)Instruction limit reached!
% 2.71/0.81 % (1718872)------------------------------
% 2.71/0.81 % (1718872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.81 % (1718872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.81 % (1718872)CaDiCaL version: 2.1.3
% 2.71/0.81 % (1718872)Termination reason: Instruction limit
% 2.71/0.81 % (1718872)Termination phase: Saturation
% 2.71/0.81 % (1718872)Time elapsed: 0.033 s
% 2.71/0.81 % (1718872)Peak memory usage: 12 MB
% 2.71/0.81 % (1718872)Instructions burned: 43 (million)
% 2.71/0.81 % (1718886)Instruction limit reached!
% 2.71/0.81 % (1718886)------------------------------
% 2.71/0.81 % (1718886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.81 % (1718886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.89 % (1718886)CaDiCaL version: 2.1.3
% 2.71/0.89 % (1718886)Termination reason: Instruction limit
% 2.71/0.89 % (1718886)Termination phase: Saturation
% 2.71/0.89 % (1718886)Time elapsed: 0.011 s
% 2.71/0.89 % (1718886)Peak memory usage: 12 MB
% 2.71/0.89 % (1718886)Instructions burned: 24 (million)
% 2.71/0.89 % (1718887)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4070896539:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.71/0.89 % (1718887)Refutation not found, incomplete strategy
% 2.71/0.89 % (1718887)------------------------------
% 2.71/0.89 % (1718887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.89 % (1718887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.89 % (1718887)CaDiCaL version: 2.1.3
% 2.71/0.89 % (1718887)Termination reason: Refutation not found, incomplete strategy
% 2.71/0.89 % (1718887)Time elapsed: 0.003 s
% 2.71/0.89 % (1718887)Peak memory usage: 12 MB
% 2.71/0.89 % (1718887)Instructions burned: 3 (million)
% 2.71/0.89 % (1718887)------------------------------
% 2.71/0.89 % (1718887)------------------------------
% 2.71/0.89 % (1718889)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=723565846:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.71/0.89 % (1718891)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=3348871454:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.71/0.89 % (1718892)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=2836170391:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.71/0.89 % (1718869)Instruction limit reached!
% 2.71/0.89 % (1718869)------------------------------
% 2.71/0.89 % (1718869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.89 % (1718869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.89 % (1718869)CaDiCaL version: 2.1.3
% 2.71/0.89 % (1718869)Termination reason: Instruction limit
% 2.71/0.89 % (1718869)Termination phase: Saturation
% 2.71/0.89 % (1718869)Time elapsed: 0.096 s
% 2.71/0.89 % (1718869)Peak memory usage: 12 MB
% 2.71/0.89 % (1718869)Instructions burned: 144 (million)
% 2.71/0.89 % (1718892)Instruction limit reached!
% 2.71/0.89 % (1718892)------------------------------
% 2.71/0.89 % (1718892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.89 % (1718892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.89 % (1718892)CaDiCaL version: 2.1.3
% 2.71/0.89 % (1718892)Termination reason: Instruction limit
% 2.71/0.89 % (1718892)Termination phase: Saturation
% 2.71/0.89 % (1718892)Time elapsed: 0.021 s
% 2.71/0.89 % (1718892)Peak memory usage: 12 MB
% 2.71/0.89 % (1718892)Instructions burned: 46 (million)
% 2.71/0.89 % (1718894)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1471910842:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.71/0.89 % (1718894)Refutation not found, incomplete strategy
% 2.71/0.89 % (1718894)------------------------------
% 2.71/0.89 % (1718894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.71/0.89 % (1718894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/0.89 % (1718894)CaDiCaL version: 2.1.3
% 2.71/0.89 % (1718894)Termination reason: Refutation not found, incomplete strategy
% 2.71/0.89 % (1718894)Time elapsed: 0.002 s
% 2.71/0.89 % (1718894)Peak memory usage: 12 MB
% 2.71/0.89 % (1718894)Instructions burned: 1 (million)
% 2.71/0.89 % (1718894)------------------------------
% 2.71/0.89 % (1718894)------------------------------
% 2.71/0.89 % (1718899)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3413260953:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.71/0.89 % (1718900)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.71/0.89 % (1718899)Instruction limit reached!
% 2.71/0.89 % (1718899)------------------------------
% 2.71/0.89 % (1718899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.95 % (1718899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.95 % (1718899)CaDiCaL version: 2.1.3
% 3.21/0.95 % (1718899)Termination reason: Instruction limit
% 3.21/0.95 % (1718899)Termination phase: Saturation
% 3.21/0.95 % (1718899)Time elapsed: 0.010 s
% 3.21/0.95 % (1718899)Peak memory usage: 12 MB
% 3.21/0.95 % (1718899)Instructions burned: 21 (million)
% 3.21/0.95 % (1718810)Instruction limit reached!
% 3.21/0.95 % (1718810)------------------------------
% 3.21/0.95 % (1718810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.95 % (1718810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.95 % (1718810)CaDiCaL version: 2.1.3
% 3.21/0.95 % (1718810)Termination reason: Instruction limit
% 3.21/0.95 % (1718810)Termination phase: Saturation
% 3.21/0.95 % (1718810)Time elapsed: 0.357 s
% 3.21/0.95 % (1718810)Peak memory usage: 13 MB
% 3.21/0.95 % (1718810)Instructions burned: 635 (million)
% 3.21/0.95 % (1718900)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2348139886:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.21/0.95 % (1718902)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1992933207:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.21/0.95 % (1718906)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2672024400:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.21/0.95 % (1718906)Refutation not found, incomplete strategy
% 3.21/0.95 % (1718906)------------------------------
% 3.21/0.95 % (1718906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.95 % (1718906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.95 % (1718906)CaDiCaL version: 2.1.3
% 3.21/0.95 % (1718906)Termination reason: Refutation not found, incomplete strategy
% 3.21/0.95 % (1718906)Time elapsed: 0.001 s
% 3.21/0.95 % (1718906)Peak memory usage: 12 MB
% 3.21/0.95 % (1718906)Instructions burned: 1 (million)
% 3.21/0.95 % (1718906)------------------------------
% 3.21/0.95 % (1718906)------------------------------
% 3.21/0.95 % (1718905)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=3739122343:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.21/0.95 % (1718902)Instruction limit reached!
% 3.21/0.95 % (1718902)------------------------------
% 3.21/0.95 % (1718902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.95 % (1718902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.95 % (1718902)CaDiCaL version: 2.1.3
% 3.21/0.95 % (1718902)Termination reason: Instruction limit
% 3.21/0.95 % (1718902)Termination phase: Saturation
% 3.21/0.95 % (1718902)Time elapsed: 0.016 s
% 3.21/0.95 % (1718902)Peak memory usage: 12 MB
% 3.21/0.95 % (1718902)Instructions burned: 17 (million)
% 3.21/0.95 % (1718911)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1963327223:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.21/0.95 % (1718905)Instruction limit reached!
% 3.21/0.95 % (1718905)------------------------------
% 3.21/0.95 % (1718905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.95 % (1718905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.95 % (1718905)CaDiCaL version: 2.1.3
% 3.21/0.95 % (1718905)Termination reason: Instruction limit
% 3.21/0.95 % (1718905)Termination phase: Saturation
% 3.21/0.95 % (1718905)Time elapsed: 0.036 s
% 3.21/0.95 % (1718905)Peak memory usage: 13 MB
% 3.21/0.95 % (1718905)Instructions burned: 66 (million)
% 3.21/0.95 % (1718912)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1897477288:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.21/0.95 % (1718914)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=2934316288:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.21/0.95 % (1718911)Instruction limit reached!
% 3.21/0.95 % (1718911)------------------------------
% 3.21/0.95 % (1718911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/1.03 % (1718911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.03 % (1718911)CaDiCaL version: 2.1.3
% 3.21/1.03 % (1718911)Termination reason: Instruction limit
% 3.21/1.03 % (1718911)Termination phase: Saturation
% 3.21/1.03 % (1718911)Time elapsed: 0.033 s
% 3.21/1.03 % (1718911)Peak memory usage: 12 MB
% 3.21/1.03 % (1718911)Instructions burned: 32 (million)
% 3.21/1.03 % (1718914)Instruction limit reached!
% 3.21/1.03 % (1718914)------------------------------
% 3.21/1.03 % (1718914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/1.03 % (1718914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.03 % (1718914)CaDiCaL version: 2.1.3
% 3.21/1.03 % (1718914)Termination reason: Instruction limit
% 3.21/1.03 % (1718914)Termination phase: Saturation
% 3.21/1.03 % (1718914)Time elapsed: 0.019 s
% 3.21/1.03 % (1718914)Peak memory usage: 12 MB
% 3.21/1.03 % (1718914)Instructions burned: 34 (million)
% 3.21/1.03 % (1718918)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.21/1.03 % (1718918)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=248971579:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.21/1.03 % (1718917)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1980912473:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.21/1.03 % (1718917)Refutation not found, incomplete strategy
% 3.21/1.03 % (1718917)------------------------------
% 3.21/1.03 % (1718917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/1.03 % (1718917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.03 % (1718917)CaDiCaL version: 2.1.3
% 3.21/1.03 % (1718917)Termination reason: Refutation not found, incomplete strategy
% 3.21/1.03 % (1718917)Time elapsed: 0.002 s
% 3.21/1.03 % (1718917)Peak memory usage: 11 MB
% 3.21/1.03 % (1718917)Instructions burned: 1 (million)
% 3.21/1.03 % (1718917)------------------------------
% 3.21/1.03 % (1718917)------------------------------
% 3.21/1.03 % (1718900)Instruction limit reached!
% 3.21/1.03 % (1718900)------------------------------
% 3.21/1.03 % (1718900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/1.03 % (1718900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.03 % (1718900)CaDiCaL version: 2.1.3
% 3.21/1.03 % (1718900)Termination reason: Instruction limit
% 3.21/1.03 % (1718900)Termination phase: Saturation
% 3.21/1.03 % (1718900)Time elapsed: 0.138 s
% 3.21/1.03 % (1718900)Peak memory usage: 12 MB
% 3.21/1.03 % (1718900)Instructions burned: 201 (million)
% 3.21/1.03 % (1718912)Instruction limit reached!
% 3.21/1.03 % (1718912)------------------------------
% 3.21/1.03 % (1718912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/1.03 % (1718912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.03 % (1718912)CaDiCaL version: 2.1.3
% 3.21/1.03 % (1718912)Termination reason: Instruction limit
% 3.21/1.03 % (1718912)Termination phase: Saturation
% 3.21/1.03 % (1718912)Time elapsed: 0.091 s
% 3.21/1.03 % (1718912)Peak memory usage: 12 MB
% 3.21/1.03 % (1718912)Instructions burned: 137 (million)
% 3.21/1.03 % (1718921)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=806945047:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 3.21/1.03 % (1718921)Refutation not found, incomplete strategy
% 3.21/1.03 % (1718921)------------------------------
% 3.21/1.03 % (1718921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/1.03 % (1718921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.03 % (1718921)CaDiCaL version: 2.1.3
% 3.21/1.03 % (1718921)Termination reason: Refutation not found, incomplete strategy
% 3.21/1.03 % (1718921)Time elapsed: 0.001 s
% 3.21/1.03 % (1718921)Peak memory usage: 11 MB
% 3.21/1.03 % (1718921)------------------------------
% 3.21/1.03 % (1718921)------------------------------
% 3.21/1.03 % (1718923)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3131926008:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.21/1.03 % (1718923)Refutation not found, incomplete strategy
% 3.21/1.03 % (1718923)------------------------------
% 3.21/1.03 % (1718923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/1.03 % (1718923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.12 % (1718923)CaDiCaL version: 2.1.3
% 5.11/1.12 % (1718923)Termination reason: Refutation not found, incomplete strategy
% 5.11/1.12 % (1718923)Time elapsed: 0.0000 s
% 5.11/1.12 % (1718923)Peak memory usage: 12 MB
% 5.11/1.12 % (1718923)------------------------------
% 5.11/1.12 % (1718923)------------------------------
% 5.11/1.12 % (1718922)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3813023235:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 5.11/1.12 % (1718889)Instruction limit reached!
% 5.11/1.12 % (1718889)------------------------------
% 5.11/1.12 % (1718889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.11/1.12 % (1718889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.12 % (1718889)CaDiCaL version: 2.1.3
% 5.11/1.12 % (1718889)Termination reason: Instruction limit
% 5.11/1.12 % (1718889)Termination phase: Saturation
% 5.11/1.12 % (1718889)Time elapsed: 0.251 s
% 5.11/1.12 % (1718889)Peak memory usage: 13 MB
% 5.11/1.12 % (1718889)Instructions burned: 316 (million)
% 5.11/1.12 % (1718925)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=209478984:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.11/1.12 % (1718925)Refutation not found, incomplete strategy
% 5.11/1.12 % (1718925)------------------------------
% 5.11/1.12 % (1718925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.11/1.12 % (1718925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.12 % (1718925)CaDiCaL version: 2.1.3
% 5.11/1.12 % (1718925)Termination reason: Refutation not found, incomplete strategy
% 5.11/1.12 % (1718925)Time elapsed: 0.001 s
% 5.11/1.12 % (1718925)Peak memory usage: 11 MB
% 5.11/1.12 % (1718925)------------------------------
% 5.11/1.12 % (1718925)------------------------------
% 5.11/1.12 % (1718927)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3270430998:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.11/1.12 % (1718927)Refutation not found, incomplete strategy
% 5.11/1.12 % (1718927)------------------------------
% 5.11/1.12 % (1718927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.11/1.12 % (1718927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.12 % (1718927)CaDiCaL version: 2.1.3
% 5.11/1.12 % (1718927)Termination reason: Refutation not found, incomplete strategy
% 5.11/1.12 % (1718927)Time elapsed: 0.001 s
% 5.11/1.12 % (1718927)Peak memory usage: 12 MB
% 5.11/1.12 % (1718927)Instructions burned: 1 (million)
% 5.11/1.12 % (1718918)Instruction limit reached!
% 5.11/1.12 % (1718918)------------------------------
% 5.11/1.12 % (1718918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.11/1.12 % (1718918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.12 % (1718918)CaDiCaL version: 2.1.3
% 5.11/1.12 % (1718918)Termination reason: Instruction limit
% 5.11/1.12 % (1718918)Termination phase: Saturation
% 5.11/1.12 % (1718918)Time elapsed: 0.090 s
% 5.11/1.12 % (1718918)Peak memory usage: 12 MB
% 5.11/1.12 % (1718918)Instructions burned: 181 (million)
% 5.11/1.12 % (1718927)------------------------------
% 5.11/1.12 % (1718927)------------------------------
% 5.11/1.12 % (1718929)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3666227253:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.11/1.12 % (1718929)Refutation not found, incomplete strategy
% 5.11/1.12 % (1718929)------------------------------
% 5.11/1.12 % (1718929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.11/1.12 % (1718929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.12 % (1718929)CaDiCaL version: 2.1.3
% 5.11/1.12 % (1718929)Termination reason: Refutation not found, incomplete strategy
% 5.11/1.12 % (1718929)Time elapsed: 0.001 s
% 5.11/1.12 % (1718929)Peak memory usage: 11 MB
% 5.11/1.12 % (1718929)Instructions burned: 2 (million)
% 5.11/1.12 % (1718929)------------------------------
% 5.11/1.12 % (1718929)------------------------------
% 5.11/1.12 % (1718934)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2842492201:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 5.11/1.12 % (1718936)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=4102337761:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.11/1.12 % (1718931)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1573942446:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 5.94/1.24 % (1718933)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3257044273:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 5.94/1.24 % (1718933)Refutation not found, incomplete strategy
% 5.94/1.24 % (1718933)------------------------------
% 5.94/1.24 % (1718933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.24 % (1718933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.24 % (1718933)CaDiCaL version: 2.1.3
% 5.94/1.24 % (1718933)Termination reason: Refutation not found, incomplete strategy
% 5.94/1.24 % (1718933)Time elapsed: 0.002 s
% 5.94/1.24 % (1718933)Peak memory usage: 12 MB
% 5.94/1.24 % (1718933)Instructions burned: 1 (million)
% 5.94/1.24 % (1718933)------------------------------
% 5.94/1.24 % (1718933)------------------------------
% 5.94/1.24 % (1718922)Instruction limit reached!
% 5.94/1.24 % (1718922)------------------------------
% 5.94/1.25 % (1718922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.25 % (1718922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.25 % (1718922)CaDiCaL version: 2.1.3
% 5.94/1.25 % (1718922)Termination reason: Instruction limit
% 5.94/1.25 % (1718922)Termination phase: Saturation
% 5.94/1.25 % (1718922)Time elapsed: 0.075 s
% 5.94/1.25 % (1718922)Peak memory usage: 12 MB
% 5.94/1.25 % (1718922)Instructions burned: 96 (million)
% 5.94/1.25 % (1718936)Instruction limit reached!
% 5.94/1.25 % (1718936)------------------------------
% 5.94/1.25 % (1718936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.25 % (1718936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.25 % (1718936)CaDiCaL version: 2.1.3
% 5.94/1.25 % (1718936)Termination reason: Instruction limit
% 5.94/1.25 % (1718936)Termination phase: Saturation
% 5.94/1.25 % (1718936)Time elapsed: 0.038 s
% 5.94/1.25 % (1718936)Peak memory usage: 12 MB
% 5.94/1.25 % (1718936)Instructions burned: 95 (million)
% 5.94/1.25 % (1718931)Instruction limit reached!
% 5.94/1.25 % (1718931)------------------------------
% 5.94/1.25 % (1718931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.25 % (1718931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.25 % (1718931)CaDiCaL version: 2.1.3
% 5.94/1.25 % (1718931)Termination reason: Instruction limit
% 5.94/1.25 % (1718931)Termination phase: Saturation
% 5.94/1.25 % (1718931)Time elapsed: 0.038 s
% 5.94/1.25 % (1718931)Peak memory usage: 12 MB
% 5.94/1.25 % (1718931)Instructions burned: 44 (million)
% 5.94/1.25 % (1718941)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=1472809386:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.94/1.25 % (1718942)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=2832735302:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2993 on theBenchmark for (2993ds/105Mi)
% 5.94/1.25 % (1718943)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=2019475462:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 5.94/1.25 % (1718943)Refutation not found, incomplete strategy
% 5.94/1.25 % (1718943)------------------------------
% 5.94/1.25 % (1718943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.25 % (1718943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.25 % (1718943)CaDiCaL version: 2.1.3
% 5.94/1.25 % (1718943)Termination reason: Refutation not found, incomplete strategy
% 5.94/1.25 % (1718943)Time elapsed: 0.001 s
% 5.94/1.25 % (1718943)Peak memory usage: 12 MB
% 5.94/1.25 % (1718943)Instructions burned: 1 (million)
% 5.94/1.25 % (1718943)------------------------------
% 5.94/1.25 % (1718943)------------------------------
% 5.94/1.25 % (1718944)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=34154074:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 6.54/1.40 % (1718944)Refutation not found, incomplete strategy
% 6.54/1.40 % (1718944)------------------------------
% 6.54/1.40 % (1718944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.40 % (1718944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.40 % (1718944)CaDiCaL version: 2.1.3
% 6.54/1.40 % (1718944)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.40 % (1718944)Time elapsed: 0.001 s
% 6.54/1.40 % (1718944)Peak memory usage: 11 MB
% 6.54/1.40 % (1718944)------------------------------
% 6.54/1.40 % (1718944)------------------------------
% 6.54/1.40 % (1718948)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3513627310:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 6.54/1.40 % (1718941)Instruction limit reached!
% 6.54/1.40 % (1718941)------------------------------
% 6.54/1.40 % (1718941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.40 % (1718941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.40 % (1718941)CaDiCaL version: 2.1.3
% 6.54/1.40 % (1718941)Termination reason: Instruction limit
% 6.54/1.40 % (1718941)Termination phase: Saturation
% 6.54/1.40 % (1718941)Time elapsed: 0.056 s
% 6.54/1.40 % (1718941)Peak memory usage: 13 MB
% 6.54/1.40 % (1718941)Instructions burned: 65 (million)
% 6.54/1.40 % (1718950)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=957015138:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 6.54/1.40 % (1718952)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2111480049:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 6.54/1.40 % (1718950)Instruction limit reached!
% 6.54/1.40 % (1718950)------------------------------
% 6.54/1.40 % (1718950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.40 % (1718950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.40 % (1718950)CaDiCaL version: 2.1.3
% 6.54/1.40 % (1718950)Termination reason: Instruction limit
% 6.54/1.40 % (1718950)Termination phase: Saturation
% 6.54/1.40 % (1718950)Time elapsed: 0.030 s
% 6.54/1.40 % (1718950)Peak memory usage: 12 MB
% 6.54/1.40 % (1718950)Instructions burned: 34 (million)
% 6.54/1.40 % (1718942)Instruction limit reached!
% 6.54/1.40 % (1718942)------------------------------
% 6.54/1.40 % (1718942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.40 % (1718942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.40 % (1718942)CaDiCaL version: 2.1.3
% 6.54/1.40 % (1718942)Termination reason: Instruction limit
% 6.54/1.40 % (1718942)Termination phase: Saturation
% 6.54/1.40 % (1718942)Time elapsed: 0.090 s
% 6.54/1.40 % (1718942)Peak memory usage: 12 MB
% 6.54/1.40 % (1718942)Instructions burned: 105 (million)
% 6.54/1.40 % (1718955)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2919427201:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2992 on theBenchmark for (2992ds/66Mi)
% 6.54/1.40 % (1718952)Instruction limit reached!
% 6.54/1.40 % (1718952)------------------------------
% 6.54/1.40 % (1718952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.40 % (1718952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.40 % (1718952)CaDiCaL version: 2.1.3
% 6.54/1.40 % (1718952)Termination reason: Instruction limit
% 6.54/1.40 % (1718952)Termination phase: Saturation
% 6.54/1.40 % (1718952)Time elapsed: 0.046 s
% 6.54/1.40 % (1718952)Peak memory usage: 12 MB
% 6.54/1.40 % (1718952)Instructions burned: 92 (million)
% 6.54/1.40 % (1718955)Refutation not found, incomplete strategy
% 6.54/1.40 % (1718955)------------------------------
% 6.54/1.40 % (1718955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.40 % (1718955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.40 % (1718955)CaDiCaL version: 2.1.3
% 6.54/1.40 % (1718955)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.40 % (1718955)Time elapsed: 0.001 s
% 6.54/1.40 % (1718955)Peak memory usage: 11 MB
% 6.54/1.40 % (1718956)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2470082390:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 6.96/1.46 % (1718955)------------------------------
% 6.96/1.46 % (1718955)------------------------------
% 6.96/1.46 % (1718956)Instruction limit reached!
% 6.96/1.46 % (1718956)------------------------------
% 6.96/1.46 % (1718956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.46 % (1718956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.46 % (1718956)CaDiCaL version: 2.1.3
% 6.96/1.46 % (1718956)Termination reason: Instruction limit
% 6.96/1.46 % (1718956)Termination phase: Saturation
% 6.96/1.46 % (1718956)Time elapsed: 0.021 s
% 6.96/1.46 % (1718956)Peak memory usage: 12 MB
% 6.96/1.46 % (1718956)Instructions burned: 24 (million)
% 6.96/1.46 % (1718960)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4190116987:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 6.96/1.46 % (1718960)Refutation not found, incomplete strategy
% 6.96/1.46 % (1718960)------------------------------
% 6.96/1.46 % (1718960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.46 % (1718960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.46 % (1718960)CaDiCaL version: 2.1.3
% 6.96/1.46 % (1718960)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.46 % (1718960)Time elapsed: 0.001 s
% 6.96/1.46 % (1718960)Peak memory usage: 11 MB
% 6.96/1.46 % (1718960)------------------------------
% 6.96/1.46 % (1718960)------------------------------
% 6.96/1.46 % (1718958)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=271731438:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 6.96/1.46 % (1718961)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.96/1.46 % (1718961)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3964811692:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/137Mi)
% 6.96/1.46 % (1718963)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=483665738:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 6.96/1.46 % (1718934)Instruction limit reached!
% 6.96/1.46 % (1718934)------------------------------
% 6.96/1.46 % (1718934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.46 % (1718934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.46 % (1718934)CaDiCaL version: 2.1.3
% 6.96/1.46 % (1718934)Termination reason: Instruction limit
% 6.96/1.46 % (1718934)Termination phase: Saturation
% 6.96/1.46 % (1718934)Time elapsed: 0.260 s
% 6.96/1.46 % (1718934)Peak memory usage: 12 MB
% 6.96/1.46 % (1718934)Instructions burned: 450 (million)
% 6.96/1.46 % (1718948)Instruction limit reached!
% 6.96/1.46 % (1718948)------------------------------
% 6.96/1.46 % (1718948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.46 % (1718948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.46 % (1718948)CaDiCaL version: 2.1.3
% 6.96/1.46 % (1718948)Termination reason: Instruction limit
% 6.96/1.46 % (1718948)Termination phase: Saturation
% 6.96/1.46 % (1718948)Time elapsed: 0.194 s
% 6.96/1.46 % (1718948)Peak memory usage: 13 MB
% 6.96/1.46 % (1718948)Instructions burned: 499 (million)
% 6.96/1.46 % (1718969)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.96/1.46 % (1718969)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2412140813:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 6.96/1.46 % (1718968)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3397524719:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 6.96/1.46 % (1718891)Instruction limit reached!
% 6.96/1.46 % (1718891)------------------------------
% 6.96/1.46 % (1718891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.46 % (1718891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.46 % (1718891)CaDiCaL version: 2.1.3
% 6.96/1.46 % (1718891)Termination reason: Instruction limit
% 6.96/1.46 % (1718891)Termination phase: Saturation
% 7.75/1.53 % (1718891)Time elapsed: 0.578 s
% 7.75/1.53 % (1718891)Peak memory usage: 13 MB
% 7.75/1.53 % (1718891)Instructions burned: 853 (million)
% 7.75/1.53 % (1718968)Refutation not found, incomplete strategy
% 7.75/1.53 % (1718968)------------------------------
% 7.75/1.53 % (1718968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.53 % (1718968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.53 % (1718968)CaDiCaL version: 2.1.3
% 7.75/1.53 % (1718968)Termination reason: Refutation not found, incomplete strategy
% 7.75/1.53 % (1718968)Time elapsed: 0.001 s
% 7.75/1.53 % (1718968)Peak memory usage: 11 MB
% 7.75/1.53 % (1718968)------------------------------
% 7.75/1.53 % (1718968)------------------------------
% 7.75/1.53 % (1718974)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3402607321:i=116:ep=RSTC:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/116Mi)
% 7.75/1.53 % (1718975)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3912628693:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 7.75/1.53 % (1718975)Refutation not found, incomplete strategy
% 7.75/1.53 % (1718975)------------------------------
% 7.75/1.53 % (1718975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.53 % (1718975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.53 % (1718975)CaDiCaL version: 2.1.3
% 7.75/1.53 % (1718975)Termination reason: Refutation not found, incomplete strategy
% 7.75/1.53 % (1718975)Time elapsed: 0.002 s
% 7.75/1.53 % (1718975)Peak memory usage: 12 MB
% 7.75/1.53 % (1718975)Instructions burned: 1 (million)
% 7.75/1.53 % (1718975)------------------------------
% 7.75/1.53 % (1718975)------------------------------
% 7.75/1.53 % (1718961)Instruction limit reached!
% 7.75/1.53 % (1718961)------------------------------
% 7.75/1.53 % (1718961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.53 % (1718961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.53 % (1718961)CaDiCaL version: 2.1.3
% 7.75/1.53 % (1718961)Termination reason: Instruction limit
% 7.75/1.53 % (1718961)Termination phase: Saturation
% 7.75/1.53 % (1718961)Time elapsed: 0.107 s
% 7.75/1.53 % (1718961)Peak memory usage: 12 MB
% 7.75/1.53 % (1718961)Instructions burned: 137 (million)
% 7.75/1.53 % (1718979)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=949403765:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2990 on theBenchmark for (2990ds/270Mi)
% 7.75/1.53 % (1718980)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=4229511985:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2990 on theBenchmark for (2990ds/9840Mi)
% 7.75/1.53 % (1718974)Instruction limit reached!
% 7.75/1.53 % (1718974)------------------------------
% 7.75/1.53 % (1718974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.53 % (1718974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.53 % (1718974)CaDiCaL version: 2.1.3
% 7.75/1.53 % (1718974)Termination reason: Instruction limit
% 7.75/1.53 % (1718974)Termination phase: Saturation
% 7.75/1.53 % (1718974)Time elapsed: 0.079 s
% 7.75/1.53 % (1718974)Peak memory usage: 12 MB
% 7.75/1.53 % (1718974)Instructions burned: 116 (million)
% 7.75/1.53 % (1718983)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2919562557:i=421:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/421Mi)
% 7.75/1.53 % (1718983)Refutation not found, incomplete strategy
% 7.75/1.53 % (1718983)------------------------------
% 7.75/1.53 % (1718983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.53 % (1718983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.53 % (1718983)CaDiCaL version: 2.1.3
% 7.75/1.53 % (1718983)Termination reason: Refutation not found, incomplete strategy
% 7.75/1.53 % (1718983)Time elapsed: 0.001 s
% 7.75/1.53 % (1718983)Peak memory usage: 11 MB
% 7.75/1.53 % (1718983)------------------------------
% 7.75/1.53 % (1718983)------------------------------
% 7.75/1.53 % (1718969)Instruction limit reached!
% 7.75/1.53 % (1718969)------------------------------
% 7.75/1.53 % (1718969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.53 % (1718969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.58 % (1718969)CaDiCaL version: 2.1.3
% 7.75/1.58 % (1718969)Termination reason: Instruction limit
% 7.75/1.58 % (1718969)Termination phase: Saturation
% 7.75/1.58 % (1718969)Time elapsed: 0.161 s
% 7.75/1.58 % (1718969)Peak memory usage: 12 MB
% 7.75/1.58 % (1718969)Instructions burned: 375 (million)
% 7.75/1.58 % (1718985)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
% 7.75/1.58 % (1718985)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=1725445670:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/270Mi)
% 7.75/1.58 % (1718958)Instruction limit reached!
% 7.75/1.58 % (1718958)------------------------------
% 7.75/1.58 % (1718958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.58 % (1718958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.58 % (1718958)CaDiCaL version: 2.1.3
% 7.75/1.58 % (1718958)Termination reason: Instruction limit
% 7.75/1.58 % (1718958)Termination phase: Saturation
% 7.75/1.58 % (1718958)Time elapsed: 0.263 s
% 7.75/1.58 % (1718958)Peak memory usage: 14 MB
% 7.75/1.58 % (1718958)Instructions burned: 338 (million)
% 7.75/1.58 % (1718986)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2379041041:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 7.75/1.58 % (1718867)Instruction limit reached!
% 7.75/1.58 % (1718867)------------------------------
% 7.75/1.58 % (1718867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.58 % (1718867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.58 % (1718867)CaDiCaL version: 2.1.3
% 7.75/1.58 % (1718867)Termination reason: Instruction limit
% 7.75/1.58 % (1718867)Termination phase: Saturation
% 7.75/1.58 % (1718867)Time elapsed: 0.833 s
% 7.75/1.58 % (1718867)Peak memory usage: 13 MB
% 7.75/1.58 % (1718867)Instructions burned: 1240 (million)
% 7.75/1.58 % (1718988)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.75/1.58 % (1718988)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.75/1.58 % (1718988)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=484662485:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2989 on theBenchmark for (2989ds/1440Mi)
% 7.75/1.58 % (1718986)Instruction limit reached!
% 7.75/1.58 % (1718986)------------------------------
% 7.75/1.58 % (1718986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.58 % (1718986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.58 % (1718986)CaDiCaL version: 2.1.3
% 7.75/1.58 % (1718986)Termination reason: Instruction limit
% 7.75/1.58 % (1718986)Termination phase: Saturation
% 7.75/1.58 % (1718986)Time elapsed: 0.027 s
% 7.75/1.58 % (1718986)Peak memory usage: 12 MB
% 7.75/1.58 % (1718986)Instructions burned: 31 (million)
% 7.75/1.58 % (1718990)dis+10_2_sil=128000:si=on:random_seed=1055731923:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2989 on theBenchmark for (2989ds/339Mi)
% 7.75/1.58 % (1718990)Refutation not found, incomplete strategy
% 7.75/1.58 % (1718990)------------------------------
% 7.75/1.58 % (1718990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.58 % (1718990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.58 % (1718990)CaDiCaL version: 2.1.3
% 7.75/1.58 % (1718990)Termination reason: Refutation not found, incomplete strategy
% 7.75/1.58 % (1718990)Time elapsed: 0.001 s
% 7.75/1.58 % (1718990)Peak memory usage: 11 MB
% 7.75/1.58 % (1718990)------------------------------
% 7.75/1.58 % (1718990)------------------------------
% 7.75/1.58 % (1718963)Instruction limit reached!
% 7.75/1.58 % (1718963)------------------------------
% 7.75/1.58 % (1718963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.58 % (1718963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.58 % (1718963)CaDiCaL version: 2.1.3
% 8.58/1.71 % (1718963)Termination reason: Instruction limit
% 8.58/1.71 % (1718963)Termination phase: Saturation
% 8.58/1.71 % (1718963)Time elapsed: 0.271 s
% 8.58/1.71 % (1718963)Peak memory usage: 13 MB
% 8.58/1.71 % (1718963)Instructions burned: 340 (million)
% 8.58/1.71 % (1718992)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2390435886:i=111:add=on:fgj=on:rtra=on:fdi=1024_2988 on theBenchmark for (2988ds/111Mi)
% 8.58/1.71 % (1718994)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=852399368:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/122Mi)
% 8.58/1.71 % (1718994)Refutation not found, incomplete strategy
% 8.58/1.71 % (1718994)------------------------------
% 8.58/1.71 % (1718994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.58/1.71 % (1718994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/1.71 % (1718994)CaDiCaL version: 2.1.3
% 8.58/1.71 % (1718994)Termination reason: Refutation not found, incomplete strategy
% 8.58/1.71 % (1718994)Time elapsed: 0.001 s
% 8.58/1.71 % (1718994)Peak memory usage: 12 MB
% 8.58/1.71 % (1718995)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=2670542157:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/136Mi)
% 8.58/1.71 % (1718994)------------------------------
% 8.58/1.71 % (1718994)------------------------------
% 8.58/1.71 % (1718995)Refutation not found, incomplete strategy
% 8.58/1.71 % (1718995)------------------------------
% 8.58/1.71 % (1718995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.58/1.71 % (1718995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/1.71 % (1718995)CaDiCaL version: 2.1.3
% 8.58/1.71 % (1718995)Termination reason: Refutation not found, incomplete strategy
% 8.58/1.71 % (1718995)Time elapsed: 0.002 s
% 8.58/1.71 % (1718995)Peak memory usage: 11 MB
% 8.58/1.71 % (1718995)Instructions burned: 1 (million)
% 8.58/1.71 % (1718995)------------------------------
% 8.58/1.71 % (1718995)------------------------------
% 8.58/1.71 % (1718979)Instruction limit reached!
% 8.58/1.71 % (1718979)------------------------------
% 8.58/1.71 % (1718979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.58/1.71 % (1718979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/1.71 % (1718979)CaDiCaL version: 2.1.3
% 8.58/1.71 % (1718979)Termination reason: Instruction limit
% 8.58/1.71 % (1718979)Termination phase: Saturation
% 8.58/1.71 % (1718979)Time elapsed: 0.211 s
% 8.58/1.71 % (1718979)Peak memory usage: 12 MB
% 8.58/1.71 % (1718979)Instructions burned: 271 (million)
% 8.58/1.71 % (1718985)Instruction limit reached!
% 8.58/1.71 % (1718985)------------------------------
% 8.58/1.71 % (1718985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.58/1.71 % (1718985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/1.71 % (1718985)CaDiCaL version: 2.1.3
% 8.58/1.71 % (1718985)Termination reason: Instruction limit
% 8.58/1.71 % (1718985)Termination phase: Saturation
% 8.58/1.71 % (1718985)Time elapsed: 0.108 s
% 8.58/1.71 % (1718985)Peak memory usage: 12 MB
% 8.58/1.71 % (1718985)Instructions burned: 270 (million)
% 8.58/1.71 % (1718999)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2327022991:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/232Mi)
% 8.58/1.71 % (1718999)Refutation not found, incomplete strategy
% 8.58/1.71 % (1718999)------------------------------
% 8.58/1.71 % (1718999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.58/1.71 % (1718999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/1.71 % (1718999)CaDiCaL version: 2.1.3
% 8.58/1.71 % (1718999)Termination reason: Refutation not found, incomplete strategy
% 8.58/1.71 % (1718999)Time elapsed: 0.001 s
% 8.58/1.71 % (1718999)Peak memory usage: 11 MB
% 8.58/1.71 % (1718999)------------------------------
% 8.58/1.71 % (1718999)------------------------------
% 8.58/1.71 % (1718992)Instruction limit reached!
% 8.58/1.71 % (1718992)------------------------------
% 8.58/1.71 % (1718992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.58/1.71 % (1718992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.18/1.89 % (1718992)CaDiCaL version: 2.1.3
% 9.18/1.89 % (1718992)Termination reason: Instruction limit
% 9.18/1.89 % (1718992)Termination phase: Saturation
% 9.18/1.89 % (1718992)Time elapsed: 0.057 s
% 9.18/1.89 % (1718992)Peak memory usage: 12 MB
% 9.18/1.89 % (1718992)Instructions burned: 114 (million)
% 9.18/1.89 % (1719000)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=510041128:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2988 on theBenchmark for (2988ds/1254Mi)
% 9.18/1.89 % (1719000)Refutation not found, incomplete strategy
% 9.18/1.89 % (1719000)------------------------------
% 9.18/1.89 % (1719000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.18/1.89 % (1719000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.18/1.89 % (1719000)CaDiCaL version: 2.1.3
% 9.18/1.89 % (1719000)Termination reason: Refutation not found, incomplete strategy
% 9.18/1.89 % (1719000)Time elapsed: 0.003 s
% 9.18/1.89 % (1719000)Peak memory usage: 11 MB
% 9.18/1.89 % (1719000)Instructions burned: 3 (million)
% 9.18/1.89 % (1719000)------------------------------
% 9.18/1.89 % (1719000)------------------------------
% 9.18/1.89 % (1719001)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 9.18/1.89 % (1719002)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3985479966:i=619:add=on:rtra=on_2988 on theBenchmark for (2988ds/619Mi)
% 9.18/1.89 % (1719002)Refutation not found, incomplete strategy
% 9.18/1.89 % (1719002)------------------------------
% 9.18/1.89 % (1719002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.18/1.89 % (1719002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.18/1.89 % (1719002)CaDiCaL version: 2.1.3
% 9.18/1.89 % (1719002)Termination reason: Refutation not found, incomplete strategy
% 9.18/1.89 % (1719002)Time elapsed: 0.002 s
% 9.18/1.89 % (1719002)Peak memory usage: 12 MB
% 9.18/1.89 % (1719002)Instructions burned: 3 (million)
% 9.18/1.89 % (1719002)------------------------------
% 9.18/1.89 % (1719002)------------------------------
% 9.18/1.89 % (1719001)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=430788511:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2988 on theBenchmark for (2988ds/281Mi)
% 9.18/1.89 % (1719007)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3747247060:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 9.18/1.89 % (1719007)Refutation not found, incomplete strategy
% 9.18/1.89 % (1719007)------------------------------
% 9.18/1.89 % (1719007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.18/1.89 % (1719007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.18/1.89 % (1719007)CaDiCaL version: 2.1.3
% 9.18/1.89 % (1719007)Termination reason: Refutation not found, incomplete strategy
% 9.18/1.89 % (1719007)Time elapsed: 0.001 s
% 9.18/1.89 % (1719007)Peak memory usage: 11 MB
% 9.18/1.89 % (1719004)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=4265432175:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/865Mi)
% 9.18/1.89 % (1719005)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4214252274:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/212Mi)
% 9.18/1.89 % (1719007)------------------------------
% 9.18/1.89 % (1719007)------------------------------
% 9.18/1.89 % (1719005)Refutation not found, incomplete strategy
% 9.18/1.89 % (1719005)------------------------------
% 9.18/1.89 % (1719005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.18/1.89 % (1719005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.18/1.89 % (1719005)CaDiCaL version: 2.1.3
% 9.18/1.89 % (1719005)Termination reason: Refutation not found, incomplete strategy
% 9.18/1.89 % (1719005)Time elapsed: 0.001 s
% 9.18/1.89 % (1719005)Peak memory usage: 12 MB
% 9.18/1.89 % (1719005)------------------------------
% 9.18/1.89 % (1719005)------------------------------
% 9.18/1.89 % (1719009)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=679259953:st=1.5:i=346:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/346Mi)
% 9.18/1.89 % (1719009)Refutation not found, incomplete strategy
% 13.07/2.23 % (1719009)------------------------------
% 13.07/2.23 % (1719009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.07/2.23 % (1719009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/2.23 % (1719009)CaDiCaL version: 2.1.3
% 13.07/2.23 % (1719009)Termination reason: Refutation not found, incomplete strategy
% 13.07/2.23 % (1719009)Time elapsed: 0.002 s
% 13.07/2.23 % (1719009)Peak memory usage: 11 MB
% 13.07/2.23 % (1719009)Instructions burned: 2 (million)
% 13.07/2.23 % (1719014)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=4264786251:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/152Mi)
% 13.07/2.23 % (1719009)------------------------------
% 13.07/2.23 % (1719009)------------------------------
% 13.07/2.23 % (1719015)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3494276826:i=75:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/75Mi)
% 13.07/2.23 % (1719018)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=983708052:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/387Mi)
% 13.07/2.23 % (1719018)Refutation not found, incomplete strategy
% 13.07/2.23 % (1719018)------------------------------
% 13.07/2.23 % (1719018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.07/2.23 % (1719018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/2.23 % (1719018)CaDiCaL version: 2.1.3
% 13.07/2.23 % (1719018)Termination reason: Refutation not found, incomplete strategy
% 13.07/2.23 % (1719018)Time elapsed: 0.002 s
% 13.07/2.23 % (1719018)Peak memory usage: 11 MB
% 13.07/2.23 % (1719018)Instructions burned: 1 (million)
% 13.07/2.23 % (1719018)------------------------------
% 13.07/2.23 % (1719018)------------------------------
% 13.07/2.23 % (1719015)Instruction limit reached!
% 13.07/2.23 % (1719015)------------------------------
% 13.07/2.23 % (1719015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.07/2.23 % (1719015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/2.23 % (1719015)CaDiCaL version: 2.1.3
% 13.07/2.23 % (1719015)Termination reason: Instruction limit
% 13.07/2.23 % (1719015)Termination phase: Saturation
% 13.07/2.23 % (1719015)Time elapsed: 0.041 s
% 13.07/2.23 % (1719015)Peak memory usage: 12 MB
% 13.07/2.23 % (1719015)Instructions burned: 76 (million)
% 13.07/2.23 % (1719022)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=98532795:i=161:piset=and:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/161Mi)
% 13.07/2.23 % (1719014)Instruction limit reached!
% 13.07/2.23 % (1719014)------------------------------
% 13.07/2.23 % (1719014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.07/2.23 % (1719014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/2.23 % (1719014)CaDiCaL version: 2.1.3
% 13.07/2.23 % (1719014)Termination reason: Instruction limit
% 13.07/2.23 % (1719014)Termination phase: Saturation
% 13.07/2.23 % (1719014)Time elapsed: 0.068 s
% 13.07/2.23 % (1719014)Peak memory usage: 12 MB
% 13.07/2.23 % (1719014)Instructions burned: 154 (million)
% 13.07/2.23 % (1719021)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=783351847:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2987 on theBenchmark for (2987ds/148Mi)
% 13.07/2.23 % (1719024)lrs+10_1_sil=128000:si=on:random_seed=1744380714:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/888Mi)
% 13.07/2.23 % (1719024)Refutation not found, incomplete strategy
% 13.07/2.23 % (1719024)------------------------------
% 13.07/2.23 % (1719024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.07/2.23 % (1719024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/2.23 % (1719024)CaDiCaL version: 2.1.3
% 13.07/2.23 % (1719024)Termination reason: Refutation not found, incomplete strategy
% 13.07/2.23 % (1719024)Time elapsed: 0.0000 s
% 13.07/2.23 % (1719024)Peak memory usage: 11 MB
% 13.07/2.23 % (1719024)------------------------------
% 13.07/2.23 % (1719024)------------------------------
% 13.07/2.23 % (1719027)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=3198732592:i=136:add=on:ins=4:rtra=on:sup=off_2986 on theBenchmark for (2986ds/136Mi)
% 13.07/2.23 % (1719022)Instruction limit reached!
% 13.07/2.23 % (1719022)------------------------------
% 14.17/2.47 % (1719022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.17/2.47 % (1719022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.47 % (1719022)CaDiCaL version: 2.1.3
% 14.17/2.47 % (1719022)Termination reason: Instruction limit
% 14.17/2.47 % (1719022)Termination phase: Saturation
% 14.17/2.47 % (1719022)Time elapsed: 0.063 s
% 14.17/2.47 % (1719022)Peak memory usage: 12 MB
% 14.17/2.47 % (1719022)Instructions burned: 163 (million)
% 14.17/2.47 % (1719029)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=2814892191:i=88:s2at=3:nm=2:rtra=on:rawr=on_2986 on theBenchmark for (2986ds/88Mi)
% 14.17/2.47 % (1719021)Instruction limit reached!
% 14.17/2.47 % (1719021)------------------------------
% 14.17/2.47 % (1719021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.17/2.47 % (1719021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.47 % (1719021)CaDiCaL version: 2.1.3
% 14.17/2.47 % (1719021)Termination reason: Instruction limit
% 14.17/2.47 % (1719021)Termination phase: Saturation
% 14.17/2.47 % (1719021)Time elapsed: 0.122 s
% 14.17/2.47 % (1719021)Peak memory usage: 12 MB
% 14.17/2.47 % (1719021)Instructions burned: 148 (million)
% 14.17/2.47 % (1719029)Instruction limit reached!
% 14.17/2.47 % (1719029)------------------------------
% 14.17/2.47 % (1719029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.17/2.47 % (1719029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.47 % (1719029)CaDiCaL version: 2.1.3
% 14.17/2.47 % (1719029)Termination reason: Instruction limit
% 14.17/2.47 % (1719029)Termination phase: Saturation
% 14.17/2.47 % (1719029)Time elapsed: 0.048 s
% 14.17/2.47 % (1719029)Peak memory usage: 12 MB
% 14.17/2.47 % (1719029)Instructions burned: 91 (million)
% 14.17/2.47 % (1719001)Instruction limit reached!
% 14.17/2.47 % (1719001)------------------------------
% 14.17/2.47 % (1719001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.17/2.47 % (1719001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.47 % (1719001)CaDiCaL version: 2.1.3
% 14.17/2.47 % (1719001)Termination reason: Instruction limit
% 14.17/2.47 % (1719001)Termination phase: Saturation
% 14.17/2.47 % (1719001)Time elapsed: 0.244 s
% 14.17/2.47 % (1719001)Peak memory usage: 13 MB
% 14.17/2.47 % (1719001)Instructions burned: 282 (million)
% 14.17/2.47 % (1719031)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1692900900:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2985 on theBenchmark for (2985ds/93Mi)
% 14.17/2.47 % (1719032)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1580843909:i=2186:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/2186Mi)
% 14.17/2.47 % (1719027)Instruction limit reached!
% 14.17/2.47 % (1719027)------------------------------
% 14.17/2.47 % (1719027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.17/2.47 % (1719027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.47 % (1719027)CaDiCaL version: 2.1.3
% 14.17/2.47 % (1719027)Termination reason: Instruction limit
% 14.17/2.47 % (1719027)Termination phase: Saturation
% 14.17/2.47 % (1719027)Time elapsed: 0.104 s
% 14.17/2.47 % (1719027)Peak memory usage: 12 MB
% 14.17/2.47 % (1719027)Instructions burned: 136 (million)
% 14.17/2.47 % (1719033)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=490561230:s2a=on:i=240:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/240Mi)
% 14.17/2.47 % (1719036)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=156335156:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/805Mi)
% 14.17/2.47 % (1719031)Instruction limit reached!
% 14.17/2.47 % (1719031)------------------------------
% 14.17/2.47 % (1719031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.17/2.47 % (1719031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.47 % (1719031)CaDiCaL version: 2.1.3
% 14.17/2.47 % (1719031)Termination reason: Instruction limit
% 14.17/2.47 % (1719031)Termination phase: Saturation
% 14.17/2.47 % (1719031)Time elapsed: 0.076 s
% 14.17/2.47 % (1719031)Peak memory usage: 11 MB
% 14.17/2.47 % (1719031)Instructions burned: 93 (million)
% 14.17/2.47 % (1719039)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 14.93/2.62 % (1719039)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=2238385961:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2984 on theBenchmark for (2984ds/391Mi)
% 14.93/2.62 % (1719039)Refutation not found, incomplete strategy
% 14.93/2.62 % (1719039)------------------------------
% 14.93/2.62 % (1719039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.93/2.62 % (1719039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.93/2.62 % (1719039)CaDiCaL version: 2.1.3
% 14.93/2.62 % (1719039)Termination reason: Refutation not found, incomplete strategy
% 14.93/2.62 % (1719039)Time elapsed: 0.002 s
% 14.93/2.62 % (1719039)Peak memory usage: 11 MB
% 14.93/2.62 % (1719039)Instructions burned: 2 (million)
% 14.93/2.62 % (1719039)------------------------------
% 14.93/2.62 % (1719039)------------------------------
% 14.93/2.62 % (1719041)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=887403490:i=355:av=off:fsr=off:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/355Mi)
% 14.93/2.62 % (1719033)Instruction limit reached!
% 14.93/2.62 % (1719033)------------------------------
% 14.93/2.62 % (1719033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.93/2.62 % (1719033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.93/2.62 % (1719033)CaDiCaL version: 2.1.3
% 14.93/2.62 % (1719033)Termination reason: Instruction limit
% 14.93/2.62 % (1719033)Termination phase: Saturation
% 14.93/2.62 % (1719033)Time elapsed: 0.160 s
% 14.93/2.62 % (1719033)Peak memory usage: 12 MB
% 14.93/2.62 % (1719033)Instructions burned: 240 (million)
% 14.93/2.62 % (1719043)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1292768212:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/314Mi)
% 14.93/2.62 % (1719043)Refutation not found, incomplete strategy
% 14.93/2.62 % (1719043)------------------------------
% 14.93/2.62 % (1719043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.93/2.62 % (1719043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.93/2.62 % (1719043)CaDiCaL version: 2.1.3
% 14.93/2.62 % (1719043)Termination reason: Refutation not found, incomplete strategy
% 14.93/2.62 % (1719043)Time elapsed: 0.005 s
% 14.93/2.62 % (1719043)Peak memory usage: 12 MB
% 14.93/2.62 % (1719043)------------------------------
% 14.93/2.62 % (1719043)------------------------------
% 14.93/2.62 % (1719045)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=4248656084:s2a=on:i=251:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/251Mi)
% 14.93/2.62 % (1719041)Instruction limit reached!
% 14.93/2.62 % (1719041)------------------------------
% 14.93/2.62 % (1719041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.93/2.62 % (1719041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.93/2.62 % (1719041)CaDiCaL version: 2.1.3
% 14.93/2.62 % (1719041)Termination reason: Instruction limit
% 14.93/2.62 % (1719041)Termination phase: Saturation
% 14.93/2.62 % (1719041)Time elapsed: 0.233 s
% 14.93/2.62 % (1719041)Peak memory usage: 12 MB
% 14.93/2.62 % (1719041)Instructions burned: 357 (million)
% 14.93/2.62 % (1719049)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=3589990270: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_2981 on theBenchmark for (2981ds/2470Mi)
% 14.93/2.62 % (1719004)Instruction limit reached!
% 14.93/2.62 % (1719004)------------------------------
% 14.93/2.62 % (1719004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.93/2.62 % (1719004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.93/2.62 % (1719004)CaDiCaL version: 2.1.3
% 14.93/2.62 % (1719004)Termination reason: Instruction limit
% 14.93/2.62 % (1719004)Termination phase: Saturation
% 14.93/2.62 % (1719004)Time elapsed: 0.658 s
% 14.93/2.62 % (1719004)Peak memory usage: 15 MB
% 14.93/2.62 % (1719004)Instructions burned: 865 (million)
% 14.93/2.62 % (1719045)Instruction limit reached!
% 14.93/2.62 % (1719045)------------------------------
% 14.93/2.62 % (1719045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.93/2.62 % (1719045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.61/2.74 % (1719045)CaDiCaL version: 2.1.3
% 15.61/2.74 % (1719045)Termination reason: Instruction limit
% 15.61/2.74 % (1719045)Termination phase: Saturation
% 15.61/2.74 % (1719045)Time elapsed: 0.194 s
% 15.61/2.74 % (1719045)Peak memory usage: 12 MB
% 15.61/2.74 % (1719045)Instructions burned: 251 (million)
% 15.61/2.74 % (1719051)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=224646209:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2981 on theBenchmark for (2981ds/673Mi)
% 15.61/2.74 % (1719052)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1778742112:i=116:ep=RSTC:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/116Mi)
% 15.61/2.74 % (1719052)Instruction limit reached!
% 15.61/2.74 % (1719052)------------------------------
% 15.61/2.74 % (1719052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.61/2.74 % (1719052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.61/2.74 % (1719052)CaDiCaL version: 2.1.3
% 15.61/2.74 % (1719052)Termination reason: Instruction limit
% 15.61/2.74 % (1719052)Termination phase: Saturation
% 15.61/2.74 % (1719052)Time elapsed: 0.060 s
% 15.61/2.74 % (1719052)Peak memory usage: 12 MB
% 15.61/2.74 % (1719052)Instructions burned: 117 (million)
% 15.61/2.74 % (1718988)Instruction limit reached!
% 15.61/2.74 % (1718988)------------------------------
% 15.61/2.74 % (1718988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.61/2.74 % (1718988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.61/2.74 % (1718988)CaDiCaL version: 2.1.3
% 15.61/2.74 % (1718988)Termination reason: Instruction limit
% 15.61/2.74 % (1718988)Termination phase: Saturation
% 15.61/2.74 % (1718988)Time elapsed: 0.897 s
% 15.61/2.74 % (1718988)Peak memory usage: 13 MB
% 15.61/2.74 % (1718988)Instructions burned: 1441 (million)
% 15.61/2.74 % (1719055)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1920342017:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2980 on theBenchmark for (2980ds/270Mi)
% 15.61/2.74 % (1719056)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=3822479049: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_2979 on theBenchmark for (2979ds/30Mi)
% 15.61/2.75 % (1719056)Instruction limit reached!
% 15.61/2.75 % (1719056)------------------------------
% 15.61/2.75 % (1719056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.61/2.75 % (1719056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.61/2.75 % (1719056)CaDiCaL version: 2.1.3
% 15.61/2.75 % (1719056)Termination reason: Instruction limit
% 15.61/2.75 % (1719056)Termination phase: Saturation
% 15.61/2.75 % (1719056)Time elapsed: 0.027 s
% 15.61/2.75 % (1719056)Peak memory usage: 12 MB
% 15.61/2.75 % (1719056)Instructions burned: 31 (million)
% 15.61/2.75 % (1719036)Instruction limit reached!
% 15.61/2.75 % (1719036)------------------------------
% 15.61/2.75 % (1719036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.61/2.75 % (1719036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.61/2.75 % (1719036)CaDiCaL version: 2.1.3
% 15.61/2.75 % (1719036)Termination reason: Instruction limit
% 15.61/2.75 % (1719036)Termination phase: Saturation
% 15.61/2.75 % (1719036)Time elapsed: 0.591 s
% 15.61/2.75 % (1719036)Peak memory usage: 14 MB
% 15.61/2.75 % (1719036)Instructions burned: 806 (million)
% 15.61/2.75 % (1719059)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 15.61/2.75 % (1719059)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2207585737:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2979 on theBenchmark for (2979ds/39Mi)
% 15.61/2.75 % (1719060)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4220806170:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2979 on theBenchmark for (2979ds/365Mi)
% 15.61/2.75 % (1719059)Instruction limit reached!
% 15.61/2.75 % (1719059)------------------------------
% 15.61/2.75 % (1719059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.61/2.75 % (1719059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/2.92 % (1719059)CaDiCaL version: 2.1.3
% 16.94/2.92 % (1719059)Termination reason: Instruction limit
% 16.94/2.92 % (1719059)Termination phase: Saturation
% 16.94/2.92 % (1719059)Time elapsed: 0.036 s
% 16.94/2.92 % (1719059)Peak memory usage: 12 MB
% 16.94/2.92 % (1719059)Instructions burned: 39 (million)
% 16.94/2.92 % (1719055)Instruction limit reached!
% 16.94/2.92 % (1719055)------------------------------
% 16.94/2.92 % (1719055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.94/2.92 % (1719055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/2.92 % (1719055)CaDiCaL version: 2.1.3
% 16.94/2.92 % (1719055)Termination reason: Instruction limit
% 16.94/2.92 % (1719055)Termination phase: Saturation
% 16.94/2.92 % (1719055)Time elapsed: 0.161 s
% 16.94/2.92 % (1719055)Peak memory usage: 13 MB
% 16.94/2.92 % (1719055)Instructions burned: 271 (million)
% 16.94/2.92 % (1719063)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3114955301:i=158:av=off:rtra=on_2978 on theBenchmark for (2978ds/158Mi)
% 16.94/2.92 % (1719065)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 16.94/2.92 % (1719065)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=4282749757:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/252Mi)
% 16.94/2.92 % (1719032)Instruction limit reached!
% 16.94/2.92 % (1719032)------------------------------
% 16.94/2.92 % (1719032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.94/2.92 % (1719032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/2.92 % (1719032)CaDiCaL version: 2.1.3
% 16.94/2.92 % (1719032)Termination reason: Instruction limit
% 16.94/2.92 % (1719032)Termination phase: Saturation
% 16.94/2.92 % (1719032)Time elapsed: 0.750 s
% 16.94/2.92 % (1719032)Peak memory usage: 13 MB
% 16.94/2.92 % (1719032)Instructions burned: 2187 (million)
% 16.94/2.92 % (1719069)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3660811420:i=213:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/213Mi)
% 16.94/2.92 % (1719069)Refutation not found, incomplete strategy
% 16.94/2.93 % (1719069)------------------------------
% 16.94/2.93 % (1719069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.94/2.93 % (1719069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/2.93 % (1719069)CaDiCaL version: 2.1.3
% 16.94/2.93 % (1719069)Termination reason: Refutation not found, incomplete strategy
% 16.94/2.93 % (1719069)Time elapsed: 0.0000 s
% 16.94/2.93 % (1719069)Peak memory usage: 11 MB
% 16.94/2.93 % (1719069)------------------------------
% 16.94/2.93 % (1719069)------------------------------
% 16.94/2.93 % (1719071)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=330598656:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/160Mi)
% 16.94/2.93 % (1719071)Refutation not found, incomplete strategy
% 16.94/2.93 % (1719071)------------------------------
% 16.94/2.93 % (1719071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.94/2.93 % (1719071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/2.93 % (1719071)CaDiCaL version: 2.1.3
% 16.94/2.93 % (1719071)Termination reason: Refutation not found, incomplete strategy
% 16.94/2.93 % (1719071)Time elapsed: 0.001 s
% 16.94/2.93 % (1719071)Peak memory usage: 11 MB
% 16.94/2.93 % (1719071)Instructions burned: 1 (million)
% 16.94/2.93 % (1719071)------------------------------
% 16.94/2.93 % (1719071)------------------------------
% 16.94/2.93 % (1719063)Instruction limit reached!
% 16.94/2.93 % (1719063)------------------------------
% 16.94/2.93 % (1719063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.94/2.93 % (1719063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/2.93 % (1719063)CaDiCaL version: 2.1.3
% 16.94/2.93 % (1719063)Termination reason: Instruction limit
% 16.94/2.93 % (1719063)Termination phase: Saturation
% 16.94/2.93 % (1719063)Time elapsed: 0.114 s
% 16.94/2.93 % (1719063)Peak memory usage: 12 MB
% 16.94/2.93 % (1719063)Instructions burned: 158 (million)
% 16.94/2.93 % (1719073)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=3656538065:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/763Mi)
% 16.94/3.01 % (1719065)Instruction limit reached!
% 16.94/3.01 % (1719065)------------------------------
% 16.94/3.01 % (1719065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.94/3.01 % (1719065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/3.01 % (1719065)CaDiCaL version: 2.1.3
% 16.94/3.01 % (1719065)Termination reason: Instruction limit
% 16.94/3.01 % (1719065)Termination phase: Saturation
% 16.94/3.01 % (1719065)Time elapsed: 0.112 s
% 16.94/3.01 % (1719065)Peak memory usage: 12 MB
% 16.94/3.01 % (1719065)Instructions burned: 252 (million)
% 16.94/3.01 % (1719075)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 16.94/3.01 % (1719075)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=3869319628:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2977 on theBenchmark for (2977ds/237Mi)
% 16.94/3.01 % (1719075)Refutation not found, incomplete strategy
% 16.94/3.01 % (1719075)------------------------------
% 16.94/3.01 % (1719075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.94/3.01 % (1719075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/3.01 % (1719075)CaDiCaL version: 2.1.3
% 16.94/3.01 % (1719075)Termination reason: Refutation not found, incomplete strategy
% 16.94/3.01 % (1719075)Time elapsed: 0.001 s
% 16.94/3.01 % (1719075)Peak memory usage: 11 MB
% 16.94/3.01 % (1719075)------------------------------
% 16.94/3.01 % (1719075)------------------------------
% 16.94/3.01 % (1719076)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2681395054:s2a=on:i=386:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/386Mi)
% 16.94/3.01 % (1719060)Instruction limit reached!
% 16.94/3.01 % (1719060)------------------------------
% 16.94/3.01 % (1719060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.94/3.01 % (1719060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/3.01 % (1719060)CaDiCaL version: 2.1.3
% 16.94/3.01 % (1719060)Termination reason: Instruction limit
% 16.94/3.01 % (1719060)Termination phase: Saturation
% 16.94/3.01 % (1719060)Time elapsed: 0.230 s
% 16.94/3.01 % (1719060)Peak memory usage: 13 MB
% 16.94/3.01 % (1719060)Instructions burned: 365 (million)
% 16.94/3.01 % (1719078)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1676482808:i=300:piset=and:nm=32:rtra=on_2976 on theBenchmark for (2976ds/300Mi)
% 16.94/3.01 % (1719051)Instruction limit reached!
% 16.94/3.01 % (1719051)------------------------------
% 16.94/3.01 % (1719051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.94/3.01 % (1719051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/3.01 % (1719051)CaDiCaL version: 2.1.3
% 16.94/3.01 % (1719051)Termination reason: Instruction limit
% 16.94/3.01 % (1719051)Termination phase: Saturation
% 16.94/3.01 % (1719051)Time elapsed: 0.459 s
% 16.94/3.01 % (1719051)Peak memory usage: 12 MB
% 16.94/3.01 % (1719051)Instructions burned: 673 (million)
% 16.94/3.01 % (1719080)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=3422899988:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/567Mi)
% 16.94/3.01 % (1719080)Refutation not found, incomplete strategy
% 16.94/3.01 % (1719080)------------------------------
% 16.94/3.01 % (1719080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.94/3.01 % (1719080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/3.01 % (1719080)CaDiCaL version: 2.1.3
% 16.94/3.01 % (1719080)Termination reason: Refutation not found, incomplete strategy
% 16.94/3.01 % (1719080)Time elapsed: 0.002 s
% 16.94/3.01 % (1719080)Peak memory usage: 11 MB
% 16.94/3.01 % (1719080)Instructions burned: 2 (million)
% 16.94/3.01 % (1719080)------------------------------
% 16.94/3.01 % (1719080)------------------------------
% 16.94/3.01 % (1719082)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3780959140:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2976 on theBenchmark for (2976ds/379Mi)
% 16.94/3.01 % (1719082)Refutation not found, incomplete strategy
% 16.94/3.01 % (1719082)------------------------------
% 16.94/3.01 % (1719082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.94/3.01 % (1719082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.93/3.23 % (1719082)CaDiCaL version: 2.1.3
% 19.93/3.23 % (1719082)Termination reason: Refutation not found, incomplete strategy
% 19.93/3.23 % (1719082)Time elapsed: 0.001 s
% 19.93/3.23 % (1719082)Peak memory usage: 11 MB
% 19.93/3.23 % (1719082)------------------------------
% 19.93/3.23 % (1719082)------------------------------
% 19.93/3.23 % (1719084)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1533245092:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2976 on theBenchmark for (2976ds/429Mi)
% 19.93/3.23 % (1719086)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3430228300:i=478:bd=all:rtra=on_2975 on theBenchmark for (2975ds/478Mi)
% 19.93/3.23 % (1719086)Refutation not found, incomplete strategy
% 19.93/3.23 % (1719086)------------------------------
% 19.93/3.23 % (1719086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.93/3.23 % (1719086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.93/3.23 % (1719086)CaDiCaL version: 2.1.3
% 19.93/3.23 % (1719086)Termination reason: Refutation not found, incomplete strategy
% 19.93/3.23 % (1719086)Time elapsed: 0.002 s
% 19.93/3.23 % (1719086)Peak memory usage: 12 MB
% 19.93/3.23 % (1719086)Instructions burned: 1 (million)
% 19.93/3.23 % (1719086)------------------------------
% 19.93/3.23 % (1719086)------------------------------
% 19.93/3.23 % (1719089)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4033478419:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2975 on theBenchmark for (2975ds/445Mi)
% 19.93/3.23 % (1719076)Instruction limit reached!
% 19.93/3.23 % (1719076)------------------------------
% 19.93/3.23 % (1719076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.93/3.23 % (1719076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.93/3.23 % (1719076)CaDiCaL version: 2.1.3
% 19.93/3.23 % (1719076)Termination reason: Instruction limit
% 19.93/3.23 % (1719076)Termination phase: Saturation
% 19.93/3.23 % (1719076)Time elapsed: 0.203 s
% 19.93/3.23 % (1719076)Peak memory usage: 12 MB
% 19.93/3.23 % (1719076)Instructions burned: 387 (million)
% 19.93/3.23 % (1719073)Instruction limit reached!
% 19.93/3.23 % (1719073)------------------------------
% 19.93/3.23 % (1719073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.93/3.23 % (1719073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.93/3.23 % (1719073)CaDiCaL version: 2.1.3
% 19.93/3.23 % (1719073)Termination reason: Instruction limit
% 19.93/3.23 % (1719073)Termination phase: Saturation
% 19.93/3.23 % (1719073)Time elapsed: 0.247 s
% 19.93/3.23 % (1719073)Peak memory usage: 13 MB
% 19.93/3.23 % (1719073)Instructions burned: 765 (million)
% 19.93/3.23 % (1719092)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3835445443:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/302Mi)
% 19.93/3.23 % (1719092)Refutation not found, incomplete strategy
% 19.93/3.23 % (1719092)------------------------------
% 19.93/3.23 % (1719092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.93/3.23 % (1719092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.93/3.23 % (1719092)CaDiCaL version: 2.1.3
% 19.93/3.23 % (1719092)Termination reason: Refutation not found, incomplete strategy
% 19.93/3.23 % (1719092)Time elapsed: 0.0000 s
% 19.93/3.23 % (1719092)Peak memory usage: 11 MB
% 19.93/3.23 % (1719091)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3964626557:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2974 on theBenchmark for (2974ds/71Mi)
% 19.93/3.23 % (1719092)------------------------------
% 19.93/3.23 % (1719092)------------------------------
% 19.93/3.23 % (1719095)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=33608972:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2974 on theBenchmark for (2974ds/4980Mi)
% 19.93/3.23 % (1719095)Refutation not found, incomplete strategy
% 19.93/3.23 % (1719095)------------------------------
% 19.93/3.23 % (1719095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.93/3.23 % (1719095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.93/3.23 % (1719095)CaDiCaL version: 2.1.3
% 19.93/3.23 % (1719095)Termination reason: Refutation not found, incomplete strategy
% 19.93/3.23 % (1719095)Time elapsed: 0.001 s
% 19.93/3.23 % (1719095)Peak memory usage: 11 MB
% 19.93/3.23 % (1719091)Instruction limit reached!
% 20.97/3.42 % (1719091)------------------------------
% 20.97/3.42 % (1719091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.97/3.42 % (1719091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/3.42 % (1719091)CaDiCaL version: 2.1.3
% 20.97/3.42 % (1719091)Termination reason: Instruction limit
% 20.97/3.42 % (1719091)Termination phase: Saturation
% 20.97/3.42 % (1719091)Time elapsed: 0.037 s
% 20.97/3.42 % (1719091)Peak memory usage: 12 MB
% 20.97/3.42 % (1719091)Instructions burned: 73 (million)
% 20.97/3.42 % (1719095)------------------------------
% 20.97/3.42 % (1719095)------------------------------
% 20.97/3.42 % (1719078)Instruction limit reached!
% 20.97/3.42 % (1719078)------------------------------
% 20.97/3.42 % (1719078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.97/3.42 % (1719078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/3.42 % (1719078)CaDiCaL version: 2.1.3
% 20.97/3.42 % (1719078)Termination reason: Instruction limit
% 20.97/3.42 % (1719078)Termination phase: Saturation
% 20.97/3.42 % (1719078)Time elapsed: 0.240 s
% 20.97/3.42 % (1719078)Peak memory usage: 12 MB
% 20.97/3.42 % (1719078)Instructions burned: 301 (million)
% 20.97/3.42 % (1719097)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
% 20.97/3.42 % (1719097)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 20.97/3.42 % (1719098)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=1157289366:i=76:piset=equals:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/76Mi)
% 20.97/3.42 % (1719097)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1177059813:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2974 on theBenchmark for (2974ds/100Mi)
% 20.97/3.42 % (1719099)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=579214906:i=289:rtra=on_2973 on theBenchmark for (2973ds/289Mi)
% 20.97/3.42 % (1719099)Refutation not found, incomplete strategy
% 20.97/3.42 % (1719099)------------------------------
% 20.97/3.42 % (1719099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.97/3.42 % (1719099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/3.42 % (1719099)CaDiCaL version: 2.1.3
% 20.97/3.42 % (1719099)Termination reason: Refutation not found, incomplete strategy
% 20.97/3.42 % (1719099)Time elapsed: 0.002 s
% 20.97/3.42 % (1719099)Peak memory usage: 12 MB
% 20.97/3.42 % (1719099)Instructions burned: 1 (million)
% 20.97/3.42 % (1719099)------------------------------
% 20.97/3.42 % (1719099)------------------------------
% 20.97/3.42 % (1719098)Instruction limit reached!
% 20.97/3.42 % (1719098)------------------------------
% 20.97/3.42 % (1719098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.97/3.42 % (1719098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/3.42 % (1719098)CaDiCaL version: 2.1.3
% 20.97/3.42 % (1719098)Termination reason: Instruction limit
% 20.97/3.42 % (1719098)Termination phase: Saturation
% 20.97/3.42 % (1719098)Time elapsed: 0.034 s
% 20.97/3.42 % (1719098)Peak memory usage: 12 MB
% 20.97/3.42 % (1719098)Instructions burned: 78 (million)
% 20.97/3.42 % (1719104)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=1808861245:cond=on:i=34:hud=10:nm=10:rtra=on_2973 on theBenchmark for (2973ds/34Mi)
% 20.97/3.42 % (1719097)Instruction limit reached!
% 20.97/3.42 % (1719097)------------------------------
% 20.97/3.42 % (1719097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.97/3.42 % (1719097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/3.42 % (1719097)CaDiCaL version: 2.1.3
% 20.97/3.42 % (1719097)Termination reason: Instruction limit
% 20.97/3.42 % (1719097)Termination phase: Saturation
% 20.97/3.42 % (1719097)Time elapsed: 0.062 s
% 20.97/3.42 % (1719097)Peak memory usage: 12 MB
% 20.97/3.42 % (1719097)Instructions burned: 100 (million)
% 20.97/3.42 % (1719103)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=1626691046:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2973 on theBenchmark for (2973ds/493Mi)
% 21.27/3.57 % (1719104)Instruction limit reached!
% 21.27/3.57 % (1719104)------------------------------
% 21.27/3.57 % (1719104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.27/3.57 % (1719104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.27/3.57 % (1719104)CaDiCaL version: 2.1.3
% 21.27/3.57 % (1719104)Termination reason: Instruction limit
% 21.27/3.57 % (1719104)Termination phase: Saturation
% 21.27/3.57 % (1719104)Time elapsed: 0.017 s
% 21.27/3.57 % (1719104)Peak memory usage: 12 MB
% 21.27/3.57 % (1719104)Instructions burned: 35 (million)
% 21.27/3.57 % (1719108)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 21.27/3.57 % (1719108)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=518280271:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2973 on theBenchmark for (2973ds/372Mi)
% 21.27/3.57 % (1719108)Refutation not found, incomplete strategy
% 21.27/3.57 % (1719108)------------------------------
% 21.27/3.57 % (1719108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.27/3.57 % (1719108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.27/3.57 % (1719108)CaDiCaL version: 2.1.3
% 21.27/3.57 % (1719108)Termination reason: Refutation not found, incomplete strategy
% 21.27/3.57 % (1719108)Time elapsed: 0.002 s
% 21.27/3.57 % (1719108)Peak memory usage: 12 MB
% 21.27/3.57 % (1719108)Instructions burned: 3 (million)
% 21.27/3.57 % (1719108)------------------------------
% 21.27/3.57 % (1719108)------------------------------
% 21.27/3.57 % (1719110)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2006524794:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2973 on theBenchmark for (2973ds/670Mi)
% 21.27/3.57 % (1719113)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4021244797:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2972 on theBenchmark for (2972ds/647Mi)
% 21.27/3.57 % (1719113)Refutation not found, incomplete strategy
% 21.27/3.57 % (1719113)------------------------------
% 21.27/3.57 % (1719113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.27/3.57 % (1719113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.27/3.57 % (1719113)CaDiCaL version: 2.1.3
% 21.27/3.57 % (1719113)Termination reason: Refutation not found, incomplete strategy
% 21.27/3.57 % (1719113)Time elapsed: 0.0000 s
% 21.27/3.57 % (1719113)Peak memory usage: 12 MB
% 21.27/3.57 % (1719113)------------------------------
% 21.27/3.57 % (1719113)------------------------------
% 21.27/3.57 % (1719118)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=2376239316:i=857:add=off:kws=frequency:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/857Mi)
% 21.27/3.57 % (1719084)Instruction limit reached!
% 21.27/3.57 % (1719084)------------------------------
% 21.27/3.57 % (1719084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.27/3.57 % (1719084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.27/3.57 % (1719084)CaDiCaL version: 2.1.3
% 21.27/3.57 % (1719084)Termination reason: Instruction limit
% 21.27/3.57 % (1719084)Termination phase: Saturation
% 21.27/3.57 % (1719084)Time elapsed: 0.343 s
% 21.27/3.57 % (1719084)Peak memory usage: 13 MB
% 21.27/3.57 % (1719084)Instructions burned: 429 (million)
% 21.27/3.57 % (1719123)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=2990213046:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2972 on theBenchmark for (2972ds/693Mi)
% 21.27/3.57 % (1719089)Instruction limit reached!
% 21.27/3.57 % (1719089)------------------------------
% 21.27/3.57 % (1719089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.27/3.57 % (1719089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.27/3.57 % (1719089)CaDiCaL version: 2.1.3
% 21.27/3.57 % (1719089)Termination reason: Instruction limit
% 21.27/3.57 % (1719089)Termination phase: Saturation
% 21.27/3.57 % (1719089)Time elapsed: 0.389 s
% 21.27/3.57 % (1719089)Peak memory usage: 14 MB
% 21.27/3.57 % (1719089)Instructions burned: 446 (million)
% 22.87/3.76 % (1719125)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=2722923809:i=285:hud=10:bd=all:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/285Mi)
% 22.87/3.76 % (1719125)Refutation not found, incomplete strategy
% 22.87/3.76 % (1719125)------------------------------
% 22.87/3.76 % (1719125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.87/3.76 % (1719125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.87/3.76 % (1719125)CaDiCaL version: 2.1.3
% 22.87/3.76 % (1719125)Termination reason: Refutation not found, incomplete strategy
% 22.87/3.76 % (1719125)Time elapsed: 0.002 s
% 22.87/3.76 % (1719125)Peak memory usage: 11 MB
% 22.87/3.76 % (1719125)Instructions burned: 2 (million)
% 22.87/3.76 % (1719125)------------------------------
% 22.87/3.76 % (1719125)------------------------------
% 22.87/3.76 % (1719127)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 22.87/3.76 % (1719127)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=1254172545:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2970 on theBenchmark for (2970ds/52Mi)
% 22.87/3.76 % (1719127)Instruction limit reached!
% 22.87/3.76 % (1719127)------------------------------
% 22.87/3.76 % (1719127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.87/3.76 % (1719127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.87/3.76 % (1719127)CaDiCaL version: 2.1.3
% 22.87/3.76 % (1719127)Termination reason: Instruction limit
% 22.87/3.76 % (1719127)Termination phase: Saturation
% 22.87/3.76 % (1719127)Time elapsed: 0.026 s
% 22.87/3.76 % (1719127)Peak memory usage: 12 MB
% 22.87/3.76 % (1719127)Instructions burned: 54 (million)
% 22.87/3.76 % (1719130)dis+10_1_si=on:random_seed=2383158693:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2970 on theBenchmark for (2970ds/407Mi)
% 22.87/3.76 % (1719130)Refutation not found, incomplete strategy
% 22.87/3.76 % (1719130)------------------------------
% 22.87/3.76 % (1719130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.87/3.76 % (1719130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.87/3.76 % (1719130)CaDiCaL version: 2.1.3
% 22.87/3.76 % (1719130)Termination reason: Refutation not found, incomplete strategy
% 22.87/3.76 % (1719130)Time elapsed: 0.001 s
% 22.87/3.76 % (1719130)Peak memory usage: 11 MB
% 22.87/3.76 % (1719130)------------------------------
% 22.87/3.76 % (1719130)------------------------------
% 22.87/3.76 % (1719133)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=2853479706:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/2240Mi)
% 22.87/3.76 % (1719103)Instruction limit reached!
% 22.87/3.76 % (1719103)------------------------------
% 22.87/3.76 % (1719103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.87/3.76 % (1719103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.87/3.76 % (1719103)CaDiCaL version: 2.1.3
% 22.87/3.76 % (1719103)Termination reason: Instruction limit
% 22.87/3.76 % (1719103)Termination phase: Saturation
% 22.87/3.76 % (1719103)Time elapsed: 0.373 s
% 22.87/3.76 % (1719103)Peak memory usage: 13 MB
% 22.87/3.76 % (1719103)Instructions burned: 493 (million)
% 22.87/3.77 % (1719118)Instruction limit reached!
% 22.87/3.77 % (1719118)------------------------------
% 22.87/3.77 % (1719118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.87/3.77 % (1719118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.87/3.77 % (1719118)CaDiCaL version: 2.1.3
% 22.87/3.77 % (1719118)Termination reason: Instruction limit
% 22.87/3.77 % (1719118)Termination phase: Saturation
% 22.87/3.77 % (1719118)Time elapsed: 0.309 s
% 22.87/3.77 % (1719118)Peak memory usage: 12 MB
% 22.87/3.77 % (1719118)Instructions burned: 857 (million)
% 22.87/3.77 % (1719136)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=1541036771:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2969 on theBenchmark for (2969ds/1142Mi)
% 22.87/3.77 % (1719135)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=508270428:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2969 on theBenchmark for (2969ds/336Mi)
% 22.87/3.77 % (1719135)Refutation not found, incomplete strategy
% 22.87/3.77 % (1719135)------------------------------
% 22.87/3.77 % (1719135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.30/4.14 % (1719135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.30/4.14 % (1719135)CaDiCaL version: 2.1.3
% 26.30/4.14 % (1719135)Termination reason: Refutation not found, incomplete strategy
% 26.30/4.14 % (1719135)Time elapsed: 0.001 s
% 26.30/4.14 % (1719135)Peak memory usage: 11 MB
% 26.30/4.14 % (1719135)------------------------------
% 26.30/4.14 % (1719135)------------------------------
% 26.30/4.14 % (1719139)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=2857773141:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2969 on theBenchmark for (2969ds/376Mi)
% 26.30/4.14 % (1719139)Refutation not found, incomplete strategy
% 26.30/4.14 % (1719139)------------------------------
% 26.30/4.14 % (1719139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.30/4.14 % (1719139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.30/4.14 % (1719139)CaDiCaL version: 2.1.3
% 26.30/4.14 % (1719139)Termination reason: Refutation not found, incomplete strategy
% 26.30/4.14 % (1719139)Time elapsed: 0.001 s
% 26.30/4.14 % (1719139)Peak memory usage: 11 MB
% 26.30/4.14 % (1719139)------------------------------
% 26.30/4.14 % (1719139)------------------------------
% 26.30/4.14 % (1719141)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3034045646:i=766:bd=all:rtra=on_2968 on theBenchmark for (2968ds/766Mi)
% 26.30/4.14 % (1719141)Refutation not found, incomplete strategy
% 26.30/4.14 % (1719141)------------------------------
% 26.30/4.14 % (1719141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.30/4.14 % (1719141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.30/4.14 % (1719141)CaDiCaL version: 2.1.3
% 26.30/4.14 % (1719141)Termination reason: Refutation not found, incomplete strategy
% 26.30/4.14 % (1719141)Time elapsed: 0.002 s
% 26.30/4.14 % (1719141)Peak memory usage: 12 MB
% 26.30/4.14 % (1719141)Instructions burned: 1 (million)
% 26.30/4.14 % (1719141)------------------------------
% 26.30/4.14 % (1719141)------------------------------
% 26.30/4.14 % (1719110)Instruction limit reached!
% 26.30/4.14 % (1719110)------------------------------
% 26.30/4.14 % (1719110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.30/4.14 % (1719110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.30/4.14 % (1719110)CaDiCaL version: 2.1.3
% 26.30/4.14 % (1719110)Termination reason: Instruction limit
% 26.30/4.14 % (1719110)Termination phase: Saturation
% 26.30/4.14 % (1719110)Time elapsed: 0.457 s
% 26.30/4.14 % (1719110)Peak memory usage: 13 MB
% 26.30/4.14 % (1719110)Instructions burned: 671 (million)
% 26.30/4.14 % (1719144)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 26.30/4.14 % (1719146)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=603842688:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2968 on theBenchmark for (2968ds/6359Mi)
% 26.30/4.14 % (1719144)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=636306672: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_2968 on theBenchmark for (2968ds/959Mi)
% 26.30/4.14 % (1719144)Refutation not found, incomplete strategy
% 26.30/4.14 % (1719144)------------------------------
% 26.30/4.14 % (1719144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.30/4.14 % (1719144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.30/4.14 % (1719144)CaDiCaL version: 2.1.3
% 26.30/4.14 % (1719144)Termination reason: Refutation not found, incomplete strategy
% 26.30/4.14 % (1719144)Time elapsed: 0.001 s
% 26.30/4.14 % (1719144)Peak memory usage: 11 MB
% 26.30/4.14 % (1719144)------------------------------
% 26.30/4.14 % (1719144)------------------------------
% 26.30/4.14 % (1719149)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3575779286:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2967 on theBenchmark for (2967ds/35Mi)
% 26.30/4.14 % (1719149)Refutation not found, incomplete strategy
% 26.30/4.14 % (1719149)------------------------------
% 26.30/4.14 % (1719149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.30/4.14 % (1719149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.33 % (1719149)CaDiCaL version: 2.1.3
% 27.95/4.33 % (1719149)Termination reason: Refutation not found, incomplete strategy
% 27.95/4.33 % (1719149)Time elapsed: 0.001 s
% 27.95/4.33 % (1719149)Peak memory usage: 11 MB
% 27.95/4.33 % (1719149)------------------------------
% 27.95/4.33 % (1719149)------------------------------
% 27.95/4.33 % (1719151)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2320405049:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2967 on theBenchmark for (2967ds/53Mi)
% 27.95/4.33 % (1719123)Instruction limit reached!
% 27.95/4.33 % (1719123)------------------------------
% 27.95/4.33 % (1719123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.33 % (1719123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.33 % (1719123)CaDiCaL version: 2.1.3
% 27.95/4.33 % (1719123)Termination reason: Instruction limit
% 27.95/4.33 % (1719123)Termination phase: Saturation
% 27.95/4.33 % (1719123)Time elapsed: 0.472 s
% 27.95/4.33 % (1719123)Peak memory usage: 12 MB
% 27.95/4.33 % (1719123)Instructions burned: 694 (million)
% 27.95/4.33 % (1719153)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=2662260378:s2a=on:i=876:s2at=6:nm=2:rtra=on_2967 on theBenchmark for (2967ds/876Mi)
% 27.95/4.33 % (1719151)Instruction limit reached!
% 27.95/4.33 % (1719151)------------------------------
% 27.95/4.33 % (1719151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.33 % (1719151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.33 % (1719151)CaDiCaL version: 2.1.3
% 27.95/4.33 % (1719151)Termination reason: Instruction limit
% 27.95/4.33 % (1719151)Termination phase: Saturation
% 27.95/4.33 % (1719151)Time elapsed: 0.049 s
% 27.95/4.33 % (1719151)Peak memory usage: 12 MB
% 27.95/4.33 % (1719151)Instructions burned: 53 (million)
% 27.95/4.33 % (1719155)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3936306240:i=57:ep=R:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/57Mi)
% 27.95/4.33 % (1719155)Instruction limit reached!
% 27.95/4.33 % (1719155)------------------------------
% 27.95/4.33 % (1719155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.33 % (1719155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.33 % (1719155)CaDiCaL version: 2.1.3
% 27.95/4.33 % (1719155)Termination reason: Instruction limit
% 27.95/4.33 % (1719155)Termination phase: Saturation
% 27.95/4.33 % (1719155)Time elapsed: 0.032 s
% 27.95/4.33 % (1719155)Peak memory usage: 12 MB
% 27.95/4.33 % (1719155)Instructions burned: 57 (million)
% 27.95/4.33 % (1719157)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 27.95/4.33 % (1719157)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=681463623:i=306:bd=all:rtra=on_2966 on theBenchmark for (2966ds/306Mi)
% 27.95/4.33 % (1719157)Refutation not found, incomplete strategy
% 27.95/4.33 % (1719157)------------------------------
% 27.95/4.33 % (1719157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.33 % (1719157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.33 % (1719157)CaDiCaL version: 2.1.3
% 27.95/4.33 % (1719157)Termination reason: Refutation not found, incomplete strategy
% 27.95/4.33 % (1719157)Time elapsed: 0.002 s
% 27.95/4.33 % (1719157)Peak memory usage: 11 MB
% 27.95/4.33 % (1719157)Instructions burned: 1 (million)
% 27.95/4.33 % (1719157)------------------------------
% 27.95/4.33 % (1719157)------------------------------
% 27.95/4.33 % (1719159)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=316328082:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/262Mi)
% 27.95/4.33 % (1719159)Refutation not found, incomplete strategy
% 27.95/4.33 % (1719159)------------------------------
% 27.95/4.33 % (1719159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.33 % (1719159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.33 % (1719159)CaDiCaL version: 2.1.3
% 27.95/4.33 % (1719159)Termination reason: Refutation not found, incomplete strategy
% 27.95/4.33 % (1719159)Time elapsed: 0.001 s
% 27.95/4.33 % (1719159)Peak memory usage: 11 MB
% 27.95/4.33 % (1719159)------------------------------
% 27.95/4.33 % (1719159)------------------------------
% 28.56/4.46 % (1719161)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 28.56/4.46 % (1719161)ott+1002_16_sil=128000:si=on:random_seed=3307671796:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2965 on theBenchmark for (2965ds/409Mi)
% 28.56/4.46 % (1719136)Instruction limit reached!
% 28.56/4.46 % (1719136)------------------------------
% 28.56/4.46 % (1719136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.56/4.46 % (1719136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/4.46 % (1719136)CaDiCaL version: 2.1.3
% 28.56/4.46 % (1719136)Termination reason: Instruction limit
% 28.56/4.46 % (1719136)Termination phase: Saturation
% 28.56/4.46 % (1719136)Time elapsed: 0.429 s
% 28.56/4.46 % (1719136)Peak memory usage: 14 MB
% 28.56/4.46 % (1719136)Instructions burned: 1144 (million)
% 28.56/4.46 % (1719163)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1561479728:s2a=on:i=381:rtra=on_2964 on theBenchmark for (2964ds/381Mi)
% 28.56/4.46 % (1719161)Instruction limit reached!
% 28.56/4.46 % (1719161)------------------------------
% 28.56/4.46 % (1719161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.56/4.46 % (1719161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/4.46 % (1719161)CaDiCaL version: 2.1.3
% 28.56/4.46 % (1719161)Termination reason: Instruction limit
% 28.56/4.46 % (1719161)Termination phase: Saturation
% 28.56/4.46 % (1719161)Time elapsed: 0.240 s
% 28.56/4.46 % (1719161)Peak memory usage: 12 MB
% 28.56/4.46 % (1719161)Instructions burned: 409 (million)
% 28.56/4.46 % (1719163)Instruction limit reached!
% 28.56/4.46 % (1719163)------------------------------
% 28.56/4.46 % (1719163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.56/4.46 % (1719163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/4.46 % (1719163)CaDiCaL version: 2.1.3
% 28.56/4.46 % (1719163)Termination reason: Instruction limit
% 28.56/4.46 % (1719163)Termination phase: Saturation
% 28.56/4.46 % (1719163)Time elapsed: 0.212 s
% 28.56/4.46 % (1719163)Peak memory usage: 12 MB
% 28.56/4.46 % (1719163)Instructions burned: 383 (million)
% 28.56/4.46 % (1719165)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=624643200:cond=on:i=324:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/324Mi)
% 28.56/4.46 % (1719049)Instruction limit reached!
% 28.56/4.46 % (1719049)------------------------------
% 28.56/4.46 % (1719049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.56/4.46 % (1719049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/4.46 % (1719049)CaDiCaL version: 2.1.3
% 28.56/4.46 % (1719049)Termination reason: Instruction limit
% 28.56/4.46 % (1719049)Termination phase: Saturation
% 28.56/4.46 % (1719049)Time elapsed: 1.898 s
% 28.56/4.46 % (1719049)Peak memory usage: 16 MB
% 28.56/4.46 % (1719049)Instructions burned: 2470 (million)
% 28.56/4.46 % (1719166)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=230055100:i=240:kws=inv_precedence:rtra=on_2962 on theBenchmark for (2962ds/240Mi)
% 28.56/4.46 % (1719166)Refutation not found, incomplete strategy
% 28.56/4.46 % (1719166)------------------------------
% 28.56/4.46 % (1719166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.56/4.46 % (1719166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/4.46 % (1719166)CaDiCaL version: 2.1.3
% 28.56/4.46 % (1719166)Termination reason: Refutation not found, incomplete strategy
% 28.56/4.46 % (1719166)Time elapsed: 0.001 s
% 28.56/4.46 % (1719166)Peak memory usage: 12 MB
% 28.56/4.46 % (1719166)Instructions burned: 1 (million)
% 28.56/4.46 % (1719166)------------------------------
% 28.56/4.46 % (1719166)------------------------------
% 28.56/4.46 % (1719168)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 28.56/4.46 % (1719168)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3502738447:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/124Mi)
% 28.56/4.46 % (1719170)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=290675836:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2962 on theBenchmark for (2962ds/223Mi)
% 28.56/4.46 % (1719168)Instruction limit reached!
% 28.56/4.46 % (1719168)------------------------------
% 28.56/4.46 % (1719168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.45/4.85 % (1719168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/4.85 % (1719168)CaDiCaL version: 2.1.3
% 30.45/4.85 % (1719168)Termination reason: Instruction limit
% 30.45/4.85 % (1719168)Termination phase: Saturation
% 30.45/4.85 % (1719168)Time elapsed: 0.048 s
% 30.45/4.85 % (1719168)Peak memory usage: 12 MB
% 30.45/4.85 % (1719168)Instructions burned: 126 (million)
% 30.45/4.85 % (1719173)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1527840938:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2961 on theBenchmark for (2961ds/282Mi)
% 30.45/4.85 % (1719170)Instruction limit reached!
% 30.45/4.85 % (1719170)------------------------------
% 30.45/4.85 % (1719170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.45/4.85 % (1719170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/4.85 % (1719170)CaDiCaL version: 2.1.3
% 30.45/4.85 % (1719170)Termination reason: Instruction limit
% 30.45/4.85 % (1719170)Termination phase: Saturation
% 30.45/4.85 % (1719170)Time elapsed: 0.091 s
% 30.45/4.85 % (1719170)Peak memory usage: 12 MB
% 30.45/4.85 % (1719170)Instructions burned: 229 (million)
% 30.45/4.85 % (1719175)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=510702529:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/464Mi)
% 30.45/4.85 % (1719175)Refutation not found, incomplete strategy
% 30.45/4.85 % (1719175)------------------------------
% 30.45/4.85 % (1719175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.45/4.85 % (1719175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/4.85 % (1719175)CaDiCaL version: 2.1.3
% 30.45/4.85 % (1719175)Termination reason: Refutation not found, incomplete strategy
% 30.45/4.85 % (1719175)Time elapsed: 0.001 s
% 30.45/4.85 % (1719175)Peak memory usage: 11 MB
% 30.45/4.85 % (1719175)Instructions burned: 2 (million)
% 30.45/4.85 % (1719175)------------------------------
% 30.45/4.85 % (1719175)------------------------------
% 30.45/4.85 % (1719177)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=3084263426:i=88:s2at=3:nm=2:rtra=on:rawr=on_2961 on theBenchmark for (2961ds/88Mi)
% 30.45/4.85 % (1719177)Instruction limit reached!
% 30.45/4.85 % (1719177)------------------------------
% 30.45/4.85 % (1719177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.45/4.85 % (1719177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/4.85 % (1719177)CaDiCaL version: 2.1.3
% 30.45/4.85 % (1719177)Termination reason: Instruction limit
% 30.45/4.85 % (1719177)Termination phase: Saturation
% 30.45/4.85 % (1719177)Time elapsed: 0.045 s
% 30.45/4.85 % (1719177)Peak memory usage: 12 MB
% 30.45/4.85 % (1719177)Instructions burned: 88 (million)
% 30.45/4.85 % (1719165)Instruction limit reached!
% 30.45/4.85 % (1719165)------------------------------
% 30.45/4.85 % (1719165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.45/4.85 % (1719165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/4.85 % (1719165)CaDiCaL version: 2.1.3
% 30.45/4.85 % (1719165)Termination reason: Instruction limit
% 30.45/4.85 % (1719165)Termination phase: Saturation
% 30.45/4.85 % (1719165)Time elapsed: 0.228 s
% 30.45/4.85 % (1719165)Peak memory usage: 12 MB
% 30.45/4.85 % (1719165)Instructions burned: 324 (million)
% 30.45/4.85 % (1719153)Instruction limit reached!
% 30.45/4.85 % (1719153)------------------------------
% 30.45/4.85 % (1719153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.45/4.85 % (1719153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/4.85 % (1719153)CaDiCaL version: 2.1.3
% 30.45/4.85 % (1719153)Termination reason: Instruction limit
% 30.45/4.85 % (1719153)Termination phase: Saturation
% 30.45/4.85 % (1719153)Time elapsed: 0.684 s
% 30.45/4.85 % (1719153)Peak memory usage: 13 MB
% 30.45/4.85 % (1719153)Instructions burned: 877 (million)
% 30.45/4.85 % (1719179)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=242824415:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2960 on theBenchmark for (2960ds/280Mi)
% 30.45/4.85 % (1719181)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 30.45/4.85 % (1719181)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 30.45/4.85 % (1719180)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 31.33/5.00 % (1719181)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=1809507037:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2960 on theBenchmark for (2960ds/483Mi)
% 31.33/5.00 % (1719181)Refutation not found, incomplete strategy
% 31.33/5.00 % (1719181)------------------------------
% 31.33/5.00 % (1719181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.33/5.00 % (1719181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.33/5.00 % (1719181)CaDiCaL version: 2.1.3
% 31.33/5.00 % (1719181)Termination reason: Refutation not found, incomplete strategy
% 31.33/5.00 % (1719181)Time elapsed: 0.001 s
% 31.33/5.00 % (1719181)Peak memory usage: 12 MB
% 31.33/5.00 % (1719180)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3928184796:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2960 on theBenchmark for (2960ds/4386Mi)
% 31.33/5.00 % (1719181)------------------------------
% 31.33/5.00 % (1719181)------------------------------
% 31.33/5.00 % (1719185)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1254822176:i=73:rtra=on_2959 on theBenchmark for (2959ds/73Mi)
% 31.33/5.00 % (1719185)Refutation not found, incomplete strategy
% 31.33/5.00 % (1719185)------------------------------
% 31.33/5.00 % (1719185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.33/5.00 % (1719185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.33/5.00 % (1719185)CaDiCaL version: 2.1.3
% 31.33/5.00 % (1719185)Termination reason: Refutation not found, incomplete strategy
% 31.33/5.00 % (1719185)Time elapsed: 0.002 s
% 31.33/5.00 % (1719185)Peak memory usage: 12 MB
% 31.33/5.00 % (1719185)Instructions burned: 1 (million)
% 31.33/5.00 % (1719185)------------------------------
% 31.33/5.00 % (1719185)------------------------------
% 31.33/5.00 % (1719187)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3528687947:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2959 on theBenchmark for (2959ds/176Mi)
% 31.33/5.00 % (1719173)Instruction limit reached!
% 31.33/5.00 % (1719173)------------------------------
% 31.33/5.00 % (1719173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.33/5.00 % (1719173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.33/5.00 % (1719173)CaDiCaL version: 2.1.3
% 31.33/5.00 % (1719173)Termination reason: Instruction limit
% 31.33/5.00 % (1719173)Termination phase: Saturation
% 31.33/5.00 % (1719173)Time elapsed: 0.222 s
% 31.33/5.00 % (1719173)Peak memory usage: 13 MB
% 31.33/5.00 % (1719173)Instructions burned: 282 (million)
% 31.33/5.00 % (1719189)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 31.33/5.00 % (1719189)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1777326289:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2959 on theBenchmark for (2959ds/39Mi)
% 31.33/5.00 % (1719179)Instruction limit reached!
% 31.33/5.00 % (1719179)------------------------------
% 31.33/5.00 % (1719179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.33/5.00 % (1719179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.33/5.00 % (1719179)CaDiCaL version: 2.1.3
% 31.33/5.00 % (1719179)Termination reason: Instruction limit
% 31.33/5.00 % (1719179)Termination phase: Saturation
% 31.33/5.00 % (1719179)Time elapsed: 0.123 s
% 31.33/5.00 % (1719179)Peak memory usage: 12 MB
% 31.33/5.00 % (1719179)Instructions burned: 282 (million)
% 31.33/5.00 % (1719189)Instruction limit reached!
% 31.33/5.00 % (1719189)------------------------------
% 31.33/5.00 % (1719189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.33/5.00 % (1719189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.33/5.00 % (1719189)CaDiCaL version: 2.1.3
% 31.33/5.00 % (1719189)Termination reason: Instruction limit
% 31.33/5.00 % (1719189)Termination phase: Saturation
% 31.33/5.00 % (1719189)Time elapsed: 0.025 s
% 31.33/5.00 % (1719189)Peak memory usage: 12 MB
% 31.33/5.00 % (1719189)Instructions burned: 41 (million)
% 31.33/5.00 % (1719192)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
% 35.05/5.35 % (1719192)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=2871719363:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2958 on theBenchmark for (2958ds/252Mi)
% 35.05/5.35 % (1719191)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2329274257:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2958 on theBenchmark for (2958ds/708Mi)
% 35.05/5.35 % (1719187)Instruction limit reached!
% 35.05/5.35 % (1719187)------------------------------
% 35.05/5.35 % (1719187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.05/5.35 % (1719187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.35 % (1719187)CaDiCaL version: 2.1.3
% 35.05/5.35 % (1719187)Termination reason: Instruction limit
% 35.05/5.35 % (1719187)Termination phase: Saturation
% 35.05/5.35 % (1719187)Time elapsed: 0.150 s
% 35.05/5.35 % (1719187)Peak memory usage: 12 MB
% 35.05/5.35 % (1719187)Instructions burned: 176 (million)
% 35.05/5.35 % (1719192)Instruction limit reached!
% 35.05/5.35 % (1719192)------------------------------
% 35.05/5.35 % (1719192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.05/5.35 % (1719192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.35 % (1719192)CaDiCaL version: 2.1.3
% 35.05/5.35 % (1719192)Termination reason: Instruction limit
% 35.05/5.35 % (1719192)Termination phase: Saturation
% 35.05/5.35 % (1719192)Time elapsed: 0.099 s
% 35.05/5.35 % (1719192)Peak memory usage: 12 MB
% 35.05/5.35 % (1719192)Instructions burned: 255 (million)
% 35.05/5.35 % (1719195)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=37988825:i=823:fsr=off:rtra=on_2957 on theBenchmark for (2957ds/823Mi)
% 35.05/5.35 % (1719196)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 35.05/5.35 % (1719196)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2471868213:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/16202Mi)
% 35.05/5.35 % (1719196)Refutation not found, incomplete strategy
% 35.05/5.35 % (1719196)------------------------------
% 35.05/5.35 % (1719196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.05/5.35 % (1719196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.35 % (1719196)CaDiCaL version: 2.1.3
% 35.05/5.35 % (1719196)Termination reason: Refutation not found, incomplete strategy
% 35.05/5.35 % (1719196)Time elapsed: 0.002 s
% 35.05/5.35 % (1719196)Peak memory usage: 11 MB
% 35.05/5.35 % (1719196)Instructions burned: 2 (million)
% 35.05/5.35 % (1719196)------------------------------
% 35.05/5.35 % (1719196)------------------------------
% 35.05/5.35 % (1719199)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=2732632586:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/300Mi)
% 35.05/5.35 % (1719199)Instruction limit reached!
% 35.05/5.35 % (1719199)------------------------------
% 35.05/5.35 % (1719199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.05/5.35 % (1719199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.35 % (1719199)CaDiCaL version: 2.1.3
% 35.05/5.35 % (1719199)Termination reason: Instruction limit
% 35.05/5.35 % (1719199)Termination phase: Saturation
% 35.05/5.35 % (1719199)Time elapsed: 0.130 s
% 35.05/5.35 % (1719199)Peak memory usage: 12 MB
% 35.05/5.35 % (1719199)Instructions burned: 301 (million)
% 35.05/5.35 % (1719201)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 35.05/5.35 % (1719201)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 35.05/5.35 % (1719201)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=89606916:i=177:add=on:bd=preordered:rtra=on:rawr=on_2955 on theBenchmark for (2955ds/177Mi)
% 35.05/5.35 % (1719201)Instruction limit reached!
% 35.05/5.35 % (1719201)------------------------------
% 35.05/5.35 % (1719201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.05/5.35 % (1719201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.65/5.45 % (1719201)CaDiCaL version: 2.1.3
% 35.65/5.45 % (1719201)Termination reason: Instruction limit
% 35.65/5.45 % (1719201)Termination phase: Saturation
% 35.65/5.45 % (1719201)Time elapsed: 0.080 s
% 35.65/5.45 % (1719201)Peak memory usage: 12 MB
% 35.65/5.45 % (1719201)Instructions burned: 178 (million)
% 35.65/5.45 % (1719203)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2270288719:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2954 on theBenchmark for (2954ds/715Mi)
% 35.65/5.45 % (1719203)Refutation not found, incomplete strategy
% 35.65/5.45 % (1719203)------------------------------
% 35.65/5.45 % (1719203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.65/5.45 % (1719203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.65/5.45 % (1719203)CaDiCaL version: 2.1.3
% 35.65/5.45 % (1719203)Termination reason: Refutation not found, incomplete strategy
% 35.65/5.45 % (1719203)Time elapsed: 0.002 s
% 35.65/5.45 % (1719203)Peak memory usage: 11 MB
% 35.65/5.45 % (1719203)Instructions burned: 2 (million)
% 35.65/5.45 % (1719203)------------------------------
% 35.65/5.45 % (1719203)------------------------------
% 35.65/5.45 % (1719191)Instruction limit reached!
% 35.65/5.45 % (1719191)------------------------------
% 35.65/5.45 % (1719191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.65/5.45 % (1719191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.65/5.45 % (1719191)CaDiCaL version: 2.1.3
% 35.65/5.45 % (1719191)Termination reason: Instruction limit
% 35.65/5.45 % (1719191)Termination phase: Saturation
% 35.65/5.45 % (1719191)Time elapsed: 0.430 s
% 35.65/5.45 % (1719191)Peak memory usage: 14 MB
% 35.65/5.45 % (1719191)Instructions burned: 709 (million)
% 35.65/5.45 % (1719205)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 35.65/5.45 % (1719205)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 35.65/5.45 % (1719205)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=3467886245:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2954 on theBenchmark for (2954ds/230Mi)
% 35.65/5.45 % (1719205)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 35.65/5.45 % (1719206)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=417928284:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2954 on theBenchmark for (2954ds/606Mi)
% 35.65/5.45 % (1719195)Instruction limit reached!
% 35.65/5.45 % (1719195)------------------------------
% 35.65/5.45 % (1719195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.65/5.45 % (1719195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.65/5.45 % (1719195)CaDiCaL version: 2.1.3
% 35.65/5.45 % (1719195)Termination reason: Instruction limit
% 35.65/5.45 % (1719195)Termination phase: Saturation
% 35.65/5.45 % (1719195)Time elapsed: 0.398 s
% 35.65/5.45 % (1719195)Peak memory usage: 13 MB
% 35.65/5.45 % (1719195)Instructions burned: 823 (million)
% 35.65/5.45 % (1719133)Instruction limit reached!
% 35.65/5.45 % (1719133)------------------------------
% 35.65/5.45 % (1719133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.65/5.45 % (1719133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.65/5.45 % (1719133)CaDiCaL version: 2.1.3
% 35.65/5.45 % (1719133)Termination reason: Instruction limit
% 35.65/5.45 % (1719133)Termination phase: Saturation
% 35.65/5.45 % (1719133)Time elapsed: 1.642 s
% 35.65/5.45 % (1719133)Peak memory usage: 17 MB
% 35.65/5.45 % (1719133)Instructions burned: 2240 (million)
% 35.65/5.45 % (1719209)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 35.65/5.45 % (1719209)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=210445145:lrd=on:i=841:nm=0:rtra=on_2953 on theBenchmark for (2953ds/841Mi)
% 35.65/5.45 % (1719205)Instruction limit reached!
% 35.65/5.45 % (1719205)------------------------------
% 35.65/5.45 % (1719205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.65/5.45 % (1719205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.65/5.45 % (1719205)CaDiCaL version: 2.1.3
% 35.65/5.45 % (1719205)Termination reason: Instruction limit
% 36.06/5.57 % (1719205)Termination phase: Saturation
% 36.06/5.57 % (1719205)Time elapsed: 0.098 s
% 36.06/5.57 % (1719205)Peak memory usage: 12 MB
% 36.06/5.57 % (1719205)Instructions burned: 230 (million)
% 36.06/5.57 % (1719210)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2489673967:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2953 on theBenchmark for (2953ds/445Mi)
% 36.06/5.57 % (1719213)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2406897823:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2953 on theBenchmark for (2953ds/71Mi)
% 36.06/5.57 % (1719213)Instruction limit reached!
% 36.06/5.57 % (1719213)------------------------------
% 36.06/5.57 % (1719213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.06/5.57 % (1719213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.06/5.57 % (1719213)CaDiCaL version: 2.1.3
% 36.06/5.57 % (1719213)Termination reason: Instruction limit
% 36.06/5.57 % (1719213)Termination phase: Saturation
% 36.06/5.57 % (1719213)Time elapsed: 0.073 s
% 36.06/5.57 % (1719213)Peak memory usage: 12 MB
% 36.06/5.57 % (1719213)Instructions burned: 71 (million)
% 36.06/5.57 % (1719215)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 36.06/5.57 % (1719215)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 36.06/5.57 % (1719215)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3576027561:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2952 on theBenchmark for (2952ds/100Mi)
% 36.06/5.57 % (1719215)Instruction limit reached!
% 36.06/5.57 % (1719215)------------------------------
% 36.06/5.57 % (1719215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.06/5.57 % (1719215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.06/5.57 % (1719215)CaDiCaL version: 2.1.3
% 36.06/5.57 % (1719215)Termination reason: Instruction limit
% 36.06/5.57 % (1719215)Termination phase: Saturation
% 36.06/5.57 % (1719215)Time elapsed: 0.062 s
% 36.06/5.57 % (1719215)Peak memory usage: 12 MB
% 36.06/5.57 % (1719215)Instructions burned: 101 (million)
% 36.06/5.57 % (1719217)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 36.06/5.57 % (1719217)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=43421056:i=1352:add=on:aac=none:rtra=on_2951 on theBenchmark for (2951ds/1352Mi)
% 36.06/5.57 % (1719217)Refutation not found, incomplete strategy
% 36.06/5.57 % (1719217)------------------------------
% 36.06/5.57 % (1719217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.06/5.57 % (1719217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.06/5.57 % (1719217)CaDiCaL version: 2.1.3
% 36.06/5.57 % (1719217)Termination reason: Refutation not found, incomplete strategy
% 36.06/5.57 % (1719217)Time elapsed: 0.004 s
% 36.06/5.57 % (1719217)Peak memory usage: 12 MB
% 36.06/5.57 % (1719217)Instructions burned: 3 (million)
% 36.06/5.57 % (1719217)------------------------------
% 36.06/5.57 % (1719217)------------------------------
% 36.06/5.57 % (1719219)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=1168821301:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2950 on theBenchmark for (2950ds/646Mi)
% 36.06/5.57 % (1719209)Instruction limit reached!
% 36.06/5.57 % (1719209)------------------------------
% 36.06/5.57 % (1719209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.06/5.57 % (1719209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.06/5.57 % (1719209)CaDiCaL version: 2.1.3
% 36.06/5.57 % (1719209)Termination reason: Instruction limit
% 36.06/5.57 % (1719209)Termination phase: Saturation
% 36.06/5.57 % (1719209)Time elapsed: 0.336 s
% 36.06/5.57 % (1719209)Peak memory usage: 12 MB
% 36.06/5.57 % (1719209)Instructions burned: 842 (million)
% 36.06/5.57 % (1719221)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=3768202678:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2950 on theBenchmark for (2950ds/1924Mi)
% 37.49/5.89 % (1719221)Refutation not found, incomplete strategy
% 37.49/5.89 % (1719221)------------------------------
% 37.49/5.89 % (1719221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.49/5.89 % (1719221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.49/5.89 % (1719221)CaDiCaL version: 2.1.3
% 37.49/5.89 % (1719221)Termination reason: Refutation not found, incomplete strategy
% 37.49/5.89 % (1719221)Time elapsed: 0.001 s
% 37.49/5.89 % (1719221)Peak memory usage: 11 MB
% 37.49/5.89 % (1719221)------------------------------
% 37.49/5.89 % (1719221)------------------------------
% 37.49/5.89 % (1719210)Instruction limit reached!
% 37.49/5.89 % (1719210)------------------------------
% 37.49/5.89 % (1719210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.49/5.89 % (1719210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.49/5.89 % (1719210)CaDiCaL version: 2.1.3
% 37.49/5.89 % (1719210)Termination reason: Instruction limit
% 37.49/5.89 % (1719210)Termination phase: Saturation
% 37.49/5.89 % (1719210)Time elapsed: 0.379 s
% 37.49/5.89 % (1719210)Peak memory usage: 14 MB
% 37.49/5.89 % (1719210)Instructions burned: 446 (million)
% 37.49/5.89 % (1719223)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1413600606:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2949 on theBenchmark for (2949ds/984Mi)
% 37.49/5.89 % (1719223)Refutation not found, incomplete strategy
% 37.49/5.89 % (1719223)------------------------------
% 37.49/5.89 % (1719223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.49/5.89 % (1719223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.49/5.89 % (1719223)CaDiCaL version: 2.1.3
% 37.49/5.89 % (1719223)Termination reason: Refutation not found, incomplete strategy
% 37.49/5.89 % (1719223)Time elapsed: 0.002 s
% 37.49/5.89 % (1719223)Peak memory usage: 11 MB
% 37.49/5.89 % (1719223)Instructions burned: 1 (million)
% 37.49/5.89 % (1719223)------------------------------
% 37.49/5.89 % (1719223)------------------------------
% 37.49/5.89 % (1719206)Instruction limit reached!
% 37.49/5.89 % (1719206)------------------------------
% 37.49/5.89 % (1719206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.49/5.89 % (1719206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.49/5.89 % (1719206)CaDiCaL version: 2.1.3
% 37.49/5.89 % (1719206)Termination reason: Instruction limit
% 37.49/5.89 % (1719206)Termination phase: Saturation
% 37.49/5.89 % (1719206)Time elapsed: 0.479 s
% 37.49/5.89 % (1719206)Peak memory usage: 12 MB
% 37.49/5.89 % (1719206)Instructions burned: 607 (million)
% 37.49/5.89 % (1719226)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=4270202187:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2949 on theBenchmark for (2949ds/872Mi)
% 37.49/5.89 % (1719226)Refutation not found, incomplete strategy
% 37.49/5.89 % (1719226)------------------------------
% 37.49/5.89 % (1719226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.49/5.89 % (1719226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.49/5.89 % (1719226)CaDiCaL version: 2.1.3
% 37.49/5.89 % (1719226)Termination reason: Refutation not found, incomplete strategy
% 37.49/5.89 % (1719226)Time elapsed: 0.0000 s
% 37.49/5.89 % (1719226)Peak memory usage: 12 MB
% 37.49/5.89 % (1719226)------------------------------
% 37.49/5.89 % (1719226)------------------------------
% 37.49/5.89 % (1719224)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=3025989003:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2949 on theBenchmark for (2949ds/592Mi)
% 37.49/5.89 % (1719227)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 37.49/5.89 % (1719227)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=2230665446:i=999:add=on:rtra=on_2949 on theBenchmark for (2949ds/999Mi)
% 37.49/5.89 % (1719229)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 37.49/5.89 % (1719229)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=724631488:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2949 on theBenchmark for (2949ds/244Mi)
% 37.49/5.89 % (1719229)Refutation not found, incomplete strategy
% 41.10/6.22 % (1719229)------------------------------
% 41.10/6.22 % (1719229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.10/6.22 % (1719229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.10/6.22 % (1719229)CaDiCaL version: 2.1.3
% 41.10/6.22 % (1719229)Termination reason: Refutation not found, incomplete strategy
% 41.10/6.22 % (1719229)Time elapsed: 0.003 s
% 41.10/6.22 % (1719229)Peak memory usage: 11 MB
% 41.10/6.22 % (1719229)Instructions burned: 3 (million)
% 41.10/6.22 % (1719229)------------------------------
% 41.10/6.22 % (1719229)------------------------------
% 41.10/6.22 % (1719233)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=369562123:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2948 on theBenchmark for (2948ds/113Mi)
% 41.10/6.22 % (1719233)Refutation not found, incomplete strategy
% 41.10/6.22 % (1719233)------------------------------
% 41.10/6.22 % (1719233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.10/6.22 % (1719233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.10/6.22 % (1719233)CaDiCaL version: 2.1.3
% 41.10/6.22 % (1719233)Termination reason: Refutation not found, incomplete strategy
% 41.10/6.22 % (1719233)Time elapsed: 0.001 s
% 41.10/6.22 % (1719233)Peak memory usage: 12 MB
% 41.10/6.22 % (1719233)Instructions burned: 1 (million)
% 41.10/6.22 % (1719233)------------------------------
% 41.10/6.22 % (1719233)------------------------------
% 41.10/6.22 % (1719235)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2380501476:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2948 on theBenchmark for (2948ds/7795Mi)
% 41.10/6.22 % (1719235)Refutation not found, incomplete strategy
% 41.10/6.22 % (1719235)------------------------------
% 41.10/6.22 % (1719235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.10/6.22 % (1719235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.10/6.22 % (1719235)CaDiCaL version: 2.1.3
% 41.10/6.22 % (1719235)Termination reason: Refutation not found, incomplete strategy
% 41.10/6.22 % (1719235)Time elapsed: 0.0000 s
% 41.10/6.22 % (1719235)Peak memory usage: 12 MB
% 41.10/6.22 % (1719235)------------------------------
% 41.10/6.22 % (1719235)------------------------------
% 41.10/6.22 % (1719237)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4180730304:st=2:i=5026:sd=1:rtra=on:ss=axioms_2948 on theBenchmark for (2948ds/5026Mi)
% 41.10/6.22 % (1719237)Refutation not found, incomplete strategy
% 41.10/6.22 % (1719237)------------------------------
% 41.10/6.22 % (1719237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.10/6.22 % (1719237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.10/6.22 % (1719237)CaDiCaL version: 2.1.3
% 41.10/6.22 % (1719237)Termination reason: Refutation not found, incomplete strategy
% 41.10/6.22 % (1719237)Time elapsed: 0.0000 s
% 41.10/6.22 % (1719237)Peak memory usage: 12 MB
% 41.10/6.22 % (1719237)------------------------------
% 41.10/6.22 % (1719237)------------------------------
% 41.10/6.22 % (1719239)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 41.10/6.22 % (1719239)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=1626875701:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2948 on theBenchmark for (2948ds/763Mi)
% 41.10/6.22 % (1719239)Refutation not found, incomplete strategy
% 41.10/6.22 % (1719239)------------------------------
% 41.10/6.22 % (1719239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.10/6.22 % (1719239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.10/6.22 % (1719239)CaDiCaL version: 2.1.3
% 41.10/6.22 % (1719239)Termination reason: Refutation not found, incomplete strategy
% 41.10/6.22 % (1719239)Time elapsed: 0.002 s
% 41.10/6.22 % (1719239)Peak memory usage: 11 MB
% 41.10/6.22 % (1719239)Instructions burned: 1 (million)
% 41.10/6.22 % (1719239)------------------------------
% 41.10/6.22 % (1719239)------------------------------
% 41.10/6.22 % (1719241)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2608106469:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2947 on theBenchmark for (2947ds/1144Mi)
% 41.10/6.22 % (1719241)Refutation not found, incomplete strategy
% 41.10/6.22 % (1719241)------------------------------
% 41.10/6.22 % (1719241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.13/6.34 % (1719241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.13/6.34 % (1719241)CaDiCaL version: 2.1.3
% 42.13/6.34 % (1719241)Termination reason: Refutation not found, incomplete strategy
% 42.13/6.34 % (1719241)Time elapsed: 0.001 s
% 42.13/6.34 % (1719241)Peak memory usage: 11 MB
% 42.13/6.34 % (1719241)------------------------------
% 42.13/6.34 % (1719241)------------------------------
% 42.13/6.34 % (1719243)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 42.13/6.34 % (1719243)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=3725841581:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2947 on theBenchmark for (2947ds/52Mi)
% 42.13/6.34 % (1719219)Instruction limit reached!
% 42.13/6.34 % (1719219)------------------------------
% 42.13/6.34 % (1719219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.13/6.34 % (1719219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.13/6.34 % (1719219)CaDiCaL version: 2.1.3
% 42.13/6.34 % (1719219)Termination reason: Instruction limit
% 42.13/6.34 % (1719219)Termination phase: Saturation
% 42.13/6.34 % (1719219)Time elapsed: 0.350 s
% 42.13/6.34 % (1719219)Peak memory usage: 14 MB
% 42.13/6.34 % (1719219)Instructions burned: 646 (million)
% 42.13/6.34 % (1719243)Instruction limit reached!
% 42.13/6.34 % (1719243)------------------------------
% 42.13/6.34 % (1719243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.13/6.34 % (1719243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.13/6.34 % (1719243)CaDiCaL version: 2.1.3
% 42.13/6.34 % (1719243)Termination reason: Instruction limit
% 42.13/6.34 % (1719243)Termination phase: Saturation
% 42.13/6.34 % (1719243)Time elapsed: 0.036 s
% 42.13/6.34 % (1719243)Peak memory usage: 12 MB
% 42.13/6.34 % (1719243)Instructions burned: 53 (million)
% 42.13/6.34 % (1719245)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=4106092911:i=1724:fsr=off:rtra=on:fe=abstraction_2947 on theBenchmark for (2947ds/1724Mi)
% 42.13/6.34 % (1719246)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=1994463627:i=439:add=on:slsql=off:rtra=on:ntd=on_2946 on theBenchmark for (2946ds/439Mi)
% 42.13/6.34 % (1719227)Instruction limit reached!
% 42.13/6.34 % (1719227)------------------------------
% 42.13/6.34 % (1719227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.13/6.34 % (1719227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.13/6.34 % (1719227)CaDiCaL version: 2.1.3
% 42.13/6.34 % (1719227)Termination reason: Instruction limit
% 42.13/6.34 % (1719227)Termination phase: Saturation
% 42.13/6.34 % (1719227)Time elapsed: 0.420 s
% 42.13/6.34 % (1719227)Peak memory usage: 14 MB
% 42.13/6.34 % (1719227)Instructions burned: 1000 (million)
% 42.13/6.34 % (1719224)Instruction limit reached!
% 42.13/6.34 % (1719224)------------------------------
% 42.13/6.34 % (1719224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.13/6.34 % (1719224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.13/6.34 % (1719224)CaDiCaL version: 2.1.3
% 42.13/6.34 % (1719224)Termination reason: Instruction limit
% 42.13/6.34 % (1719224)Termination phase: Saturation
% 42.13/6.34 % (1719224)Time elapsed: 0.442 s
% 42.13/6.34 % (1719224)Peak memory usage: 12 MB
% 42.13/6.34 % (1719224)Instructions burned: 597 (million)
% 42.13/6.34 % (1719249)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1520483311:i=6395:sd=1:rtra=on:ss=axioms_2944 on theBenchmark for (2944ds/6395Mi)
% 42.13/6.34 % (1719249)Refutation not found, incomplete strategy
% 42.13/6.34 % (1719249)------------------------------
% 42.13/6.34 % (1719249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.13/6.34 % (1719249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.13/6.34 % (1719249)CaDiCaL version: 2.1.3
% 42.13/6.34 % (1719249)Termination reason: Refutation not found, incomplete strategy
% 42.13/6.34 % (1719249)Time elapsed: 0.001 s
% 42.13/6.34 % (1719249)Peak memory usage: 11 MB
% 42.13/6.34 % (1719249)------------------------------
% 42.13/6.34 % (1719249)------------------------------
% 42.13/6.34 % (1719250)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 42.13/6.34 % (1719252)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 48.40/7.24 % (1719250)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=1870697032:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2944 on theBenchmark for (2944ds/6762Mi)
% 48.40/7.24 % (1719250)Refutation not found, incomplete strategy
% 48.40/7.24 % (1719250)------------------------------
% 48.40/7.24 % (1719250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.40/7.24 % (1719250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.40/7.24 % (1719250)CaDiCaL version: 2.1.3
% 48.40/7.24 % (1719250)Termination reason: Refutation not found, incomplete strategy
% 48.40/7.24 % (1719250)Time elapsed: 0.001 s
% 48.40/7.24 % (1719250)Peak memory usage: 11 MB
% 48.40/7.24 % (1719252)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=2145387729:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2944 on theBenchmark for (2944ds/376Mi)
% 48.40/7.24 % (1719250)------------------------------
% 48.40/7.24 % (1719250)------------------------------
% 48.40/7.24 % (1719255)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=2066353916:i=965:bd=all:ins=4:rtra=on_2944 on theBenchmark for (2944ds/965Mi)
% 48.40/7.24 % (1719246)Instruction limit reached!
% 48.40/7.24 % (1719246)------------------------------
% 48.40/7.24 % (1719246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.40/7.24 % (1719246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.40/7.24 % (1719246)CaDiCaL version: 2.1.3
% 48.40/7.24 % (1719246)Termination reason: Instruction limit
% 48.40/7.24 % (1719246)Termination phase: Saturation
% 48.40/7.24 % (1719246)Time elapsed: 0.292 s
% 48.40/7.24 % (1719246)Peak memory usage: 12 MB
% 48.40/7.24 % (1719246)Instructions burned: 440 (million)
% 48.40/7.24 % (1719257)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3966193945:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2943 on theBenchmark for (2943ds/5013Mi)
% 48.40/7.24 % (1719257)Refutation not found, incomplete strategy
% 48.40/7.24 % (1719257)------------------------------
% 48.40/7.24 % (1719257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.40/7.24 % (1719257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.40/7.24 % (1719257)CaDiCaL version: 2.1.3
% 48.40/7.24 % (1719257)Termination reason: Refutation not found, incomplete strategy
% 48.40/7.24 % (1719257)Time elapsed: 0.001 s
% 48.40/7.24 % (1719257)Peak memory usage: 11 MB
% 48.40/7.24 % (1719257)------------------------------
% 48.40/7.24 % (1719257)------------------------------
% 48.40/7.24 % (1719259)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=2347393555:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2943 on theBenchmark for (2943ds/1583Mi)
% 48.40/7.24 % (1719252)Instruction limit reached!
% 48.40/7.24 % (1719252)------------------------------
% 48.40/7.24 % (1719252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.40/7.24 % (1719252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.40/7.24 % (1719252)CaDiCaL version: 2.1.3
% 48.40/7.24 % (1719252)Termination reason: Instruction limit
% 48.40/7.24 % (1719252)Termination phase: Saturation
% 48.40/7.24 % (1719252)Time elapsed: 0.305 s
% 48.40/7.24 % (1719252)Peak memory usage: 13 MB
% 48.40/7.24 % (1719252)Instructions burned: 376 (million)
% 48.40/7.24 % (1719261)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 48.40/7.24 % (1719261)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 48.40/7.24 % (1719261)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
% 48.40/7.24 % (1719261)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 48.40/7.24 % (1719261)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=1285372476:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2941 on theBenchmark for (2941ds/1774Mi)
% 49.77/7.57 % (1719261)Refutation not found, incomplete strategy
% 49.77/7.57 % (1719261)------------------------------
% 49.77/7.57 % (1719261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.77/7.57 % (1719261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.77/7.57 % (1719261)CaDiCaL version: 2.1.3
% 49.77/7.57 % (1719261)Termination reason: Refutation not found, incomplete strategy
% 49.77/7.57 % (1719261)Time elapsed: 0.001 s
% 49.77/7.57 % (1719261)Peak memory usage: 11 MB
% 49.77/7.57 % (1719261)------------------------------
% 49.77/7.57 % (1719261)------------------------------
% 49.77/7.57 % (1719264)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2242840091:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2940 on theBenchmark for (2940ds/515Mi)
% 49.77/7.57 % (1719264)Refutation not found, incomplete strategy
% 49.77/7.57 % (1719264)------------------------------
% 49.77/7.57 % (1719264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.77/7.57 % (1719264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.77/7.57 % (1719264)CaDiCaL version: 2.1.3
% 49.77/7.57 % (1719264)Termination reason: Refutation not found, incomplete strategy
% 49.77/7.57 % (1719264)Time elapsed: 0.001 s
% 49.77/7.57 % (1719264)Peak memory usage: 12 MB
% 49.77/7.57 % (1719264)Instructions burned: 1 (million)
% 49.77/7.57 % (1719264)------------------------------
% 49.77/7.57 % (1719264)------------------------------
% 49.77/7.57 % (1718980)Instruction limit reached!
% 49.77/7.57 % (1718980)------------------------------
% 49.77/7.57 % (1718980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.77/7.57 % (1718980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.77/7.57 % (1718980)CaDiCaL version: 2.1.3
% 49.77/7.57 % (1718980)Termination reason: Instruction limit
% 49.77/7.57 % (1718980)Termination phase: Saturation
% 49.77/7.57 % (1718980)Time elapsed: 4.967 s
% 49.77/7.57 % (1718980)Peak memory usage: 14 MB
% 49.77/7.57 % (1718980)Instructions burned: 9841 (million)
% 49.77/7.57 % (1719267)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
% 49.77/7.57 % (1719267)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=2460981443:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2940 on theBenchmark for (2940ds/1297Mi)
% 49.77/7.57 % (1719255)Instruction limit reached!
% 49.77/7.57 % (1719255)------------------------------
% 49.77/7.57 % (1719255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.77/7.57 % (1719255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.77/7.57 % (1719255)CaDiCaL version: 2.1.3
% 49.77/7.57 % (1719255)Termination reason: Instruction limit
% 49.77/7.57 % (1719255)Termination phase: Saturation
% 49.77/7.57 % (1719255)Time elapsed: 0.382 s
% 49.77/7.57 % (1719255)Peak memory usage: 16 MB
% 49.77/7.57 % (1719255)Instructions burned: 967 (million)
% 49.77/7.57 % (1719270)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 49.77/7.57 % (1719270)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3953921661:i=72:bd=all:rtra=on_2940 on theBenchmark for (2940ds/72Mi)
% 49.77/7.57 % (1719270)Refutation not found, incomplete strategy
% 49.77/7.57 % (1719270)------------------------------
% 49.77/7.57 % (1719270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.77/7.57 % (1719270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.77/7.57 % (1719270)CaDiCaL version: 2.1.3
% 49.77/7.57 % (1719270)Termination reason: Refutation not found, incomplete strategy
% 49.77/7.57 % (1719270)Time elapsed: 0.001 s
% 49.77/7.57 % (1719270)Peak memory usage: 11 MB
% 49.77/7.57 % (1719270)Instructions burned: 1 (million)
% 49.77/7.57 % (1719270)------------------------------
% 49.77/7.57 % (1719270)------------------------------
% 49.77/7.57 % (1719268)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=3037043974:s2a=on:i=611:rtra=on:gsp=on_2940 on theBenchmark for (2940ds/611Mi)
% 49.77/7.57 % (1719268)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 49.77/7.57 % (1719272)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=2063036255:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2940 on theBenchmark for (2940ds/6580Mi)
% 54.35/8.07 % (1719268)Instruction limit reached!
% 54.35/8.07 % (1719268)------------------------------
% 54.35/8.07 % (1719268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.35/8.07 % (1719268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.35/8.07 % (1719268)CaDiCaL version: 2.1.3
% 54.35/8.07 % (1719268)Termination reason: Instruction limit
% 54.35/8.07 % (1719268)Termination phase: Saturation
% 54.35/8.07 % (1719268)Time elapsed: 0.379 s
% 54.35/8.07 % (1719268)Peak memory usage: 13 MB
% 54.35/8.07 % (1719268)Instructions burned: 612 (million)
% 54.35/8.07 % (1719275)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1031825014:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2936 on theBenchmark for (2936ds/6209Mi)
% 54.35/8.07 % (1719275)Refutation not found, incomplete strategy
% 54.35/8.07 % (1719275)------------------------------
% 54.35/8.07 % (1719275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.35/8.07 % (1719275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.35/8.07 % (1719275)CaDiCaL version: 2.1.3
% 54.35/8.07 % (1719275)Termination reason: Refutation not found, incomplete strategy
% 54.35/8.07 % (1719275)Time elapsed: 0.001 s
% 54.35/8.07 % (1719275)Peak memory usage: 12 MB
% 54.35/8.07 % (1719275)------------------------------
% 54.35/8.07 % (1719275)------------------------------
% 54.35/8.07 % (1719277)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=2771163896:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2935 on theBenchmark for (2935ds/1003Mi)
% 54.35/8.07 % (1719245)Instruction limit reached!
% 54.35/8.07 % (1719245)------------------------------
% 54.35/8.07 % (1719245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.35/8.07 % (1719245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.35/8.07 % (1719245)CaDiCaL version: 2.1.3
% 54.35/8.07 % (1719245)Termination reason: Instruction limit
% 54.35/8.07 % (1719245)Termination phase: Saturation
% 54.35/8.07 % (1719245)Time elapsed: 1.219 s
% 54.35/8.07 % (1719245)Peak memory usage: 13 MB
% 54.35/8.07 % (1719245)Instructions burned: 1724 (million)
% 54.35/8.07 % (1719279)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 54.35/8.07 % (1719279)ott+1002_16_sil=128000:si=on:random_seed=1675156303:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2934 on theBenchmark for (2934ds/409Mi)
% 54.35/8.07 % (1719279)Instruction limit reached!
% 54.35/8.07 % (1719279)------------------------------
% 54.35/8.07 % (1719279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.35/8.07 % (1719279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.35/8.07 % (1719279)CaDiCaL version: 2.1.3
% 54.35/8.07 % (1719279)Termination reason: Instruction limit
% 54.35/8.07 % (1719279)Termination phase: Saturation
% 54.35/8.07 % (1719279)Time elapsed: 0.263 s
% 54.35/8.07 % (1719279)Peak memory usage: 13 MB
% 54.35/8.07 % (1719279)Instructions burned: 410 (million)
% 54.35/8.07 % (1719267)Instruction limit reached!
% 54.35/8.07 % (1719267)------------------------------
% 54.35/8.07 % (1719267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.35/8.07 % (1719267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.35/8.07 % (1719267)CaDiCaL version: 2.1.3
% 54.35/8.07 % (1719267)Termination reason: Instruction limit
% 54.35/8.07 % (1719267)Termination phase: Saturation
% 54.35/8.07 % (1719267)Time elapsed: 0.929 s
% 54.35/8.07 % (1719267)Peak memory usage: 13 MB
% 54.35/8.07 % (1719267)Instructions burned: 1297 (million)
% 54.35/8.07 % (1719259)Instruction limit reached!
% 54.35/8.07 % (1719259)------------------------------
% 54.35/8.07 % (1719259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.35/8.07 % (1719259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.35/8.07 % (1719259)CaDiCaL version: 2.1.3
% 54.35/8.07 % (1719259)Termination reason: Instruction limit
% 54.35/8.07 % (1719259)Termination phase: Saturation
% 54.35/8.07 % (1719259)Time elapsed: 1.231 s
% 54.35/8.07 % (1719259)Peak memory usage: 13 MB
% 54.35/8.07 % (1719259)Instructions burned: 1583 (million)
% 54.35/8.07 % (1719281)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=1207946754:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2931 on theBenchmark for (2931ds/403Mi)
% 56.42/8.44 % (1719281)Refutation not found, incomplete strategy
% 56.42/8.44 % (1719281)------------------------------
% 56.42/8.44 % (1719281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.42/8.44 % (1719281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.42/8.44 % (1719281)CaDiCaL version: 2.1.3
% 56.42/8.44 % (1719281)Termination reason: Refutation not found, incomplete strategy
% 56.42/8.44 % (1719281)Time elapsed: 0.001 s
% 56.42/8.44 % (1719281)Peak memory usage: 11 MB
% 56.42/8.44 % (1719281)Instructions burned: 1 (million)
% 56.42/8.44 % (1719281)------------------------------
% 56.42/8.44 % (1719281)------------------------------
% 56.42/8.44 % (1719282)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=313752550:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2931 on theBenchmark for (2931ds/6843Mi)
% 56.42/8.44 % (1719282)Refutation not found, incomplete strategy
% 56.42/8.49 % (1719282)------------------------------
% 56.42/8.49 % (1719282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.42/8.49 % (1719282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.42/8.49 % (1719282)CaDiCaL version: 2.1.3
% 56.42/8.49 % (1719282)Termination reason: Refutation not found, incomplete strategy
% 56.42/8.49 % (1719282)Time elapsed: 0.002 s
% 56.42/8.49 % (1719282)Peak memory usage: 11 MB
% 56.42/8.49 % (1719282)Instructions burned: 1 (million)
% 56.42/8.49 % (1719282)------------------------------
% 56.42/8.49 % (1719282)------------------------------
% 56.42/8.49 % (1719283)lrs+10_2:1_si=on:random_seed=2206194761:s2a=on:i=506:rtra=on:fe=abstraction_2930 on theBenchmark for (2930ds/506Mi)
% 56.42/8.49 % (1719285)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=4221704817:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2930 on theBenchmark for (2930ds/888Mi)
% 56.42/8.49 % (1719287)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 56.42/8.49 % (1719287)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=1176079707:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2930 on theBenchmark for (2930ds/416Mi)
% 56.42/8.49 % (1719277)Instruction limit reached!
% 56.42/8.49 % (1719277)------------------------------
% 56.42/8.49 % (1719277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.42/8.49 % (1719277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.42/8.49 % (1719277)CaDiCaL version: 2.1.3
% 56.42/8.49 % (1719277)Termination reason: Instruction limit
% 56.42/8.49 % (1719277)Termination phase: Saturation
% 56.42/8.49 % (1719277)Time elapsed: 0.655 s
% 56.42/8.49 % (1719277)Peak memory usage: 13 MB
% 56.42/8.49 % (1719277)Instructions burned: 1003 (million)
% 56.42/8.49 % (1719291)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=543964267: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_2929 on theBenchmark for (2929ds/13534Mi)
% 56.42/8.49 % (1719291)Refutation not found, incomplete strategy
% 56.42/8.49 % (1719291)------------------------------
% 56.42/8.49 % (1719291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.42/8.49 % (1719291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.42/8.49 % (1719291)CaDiCaL version: 2.1.3
% 56.42/8.49 % (1719291)Termination reason: Refutation not found, incomplete strategy
% 56.42/8.49 % (1719291)Time elapsed: 0.001 s
% 56.42/8.49 % (1719291)Peak memory usage: 11 MB
% 56.42/8.49 % (1719291)------------------------------
% 56.42/8.49 % (1719291)------------------------------
% 56.42/8.49 % (1719293)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 56.42/8.49 % (1719293)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=2892929951:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2928 on theBenchmark for (2928ds/206Mi)
% 56.42/8.49 % (1719180)Instruction limit reached!
% 58.96/8.91 % (1719180)------------------------------
% 58.96/8.91 % (1719180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.96/8.91 % (1719180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.96/8.91 % (1719180)CaDiCaL version: 2.1.3
% 58.96/8.91 % (1719180)Termination reason: Instruction limit
% 58.96/8.91 % (1719180)Termination phase: Saturation
% 58.96/8.91 % (1719180)Time elapsed: 3.235 s
% 58.96/8.91 % (1719180)Peak memory usage: 16 MB
% 58.96/8.91 % (1719180)Instructions burned: 4387 (million)
% 58.96/8.91 % (1719293)Instruction limit reached!
% 58.96/8.91 % (1719293)------------------------------
% 58.96/8.91 % (1719293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.96/8.91 % (1719293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.96/8.91 % (1719293)CaDiCaL version: 2.1.3
% 58.96/8.91 % (1719293)Termination reason: Instruction limit
% 58.96/8.91 % (1719293)Termination phase: Saturation
% 58.96/8.91 % (1719293)Time elapsed: 0.130 s
% 58.96/8.91 % (1719293)Peak memory usage: 12 MB
% 58.96/8.91 % (1719293)Instructions burned: 206 (million)
% 58.96/8.91 % (1719295)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=1251754301:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2927 on theBenchmark for (2927ds/2295Mi)
% 58.96/8.91 % (1719296)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=1492480813:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2927 on theBenchmark for (2927ds/637Mi)
% 58.96/8.91 % (1719287)Instruction limit reached!
% 58.96/8.91 % (1719287)------------------------------
% 58.96/8.91 % (1719287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.96/8.91 % (1719287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.96/8.91 % (1719287)CaDiCaL version: 2.1.3
% 58.96/8.91 % (1719287)Termination reason: Instruction limit
% 58.96/8.91 % (1719287)Termination phase: Saturation
% 58.96/8.91 % (1719287)Time elapsed: 0.349 s
% 58.96/8.91 % (1719287)Peak memory usage: 14 MB
% 58.96/8.91 % (1719287)Instructions burned: 417 (million)
% 58.96/8.91 % (1719283)Instruction limit reached!
% 58.96/8.91 % (1719283)------------------------------
% 58.96/8.91 % (1719283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.96/8.91 % (1719283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.96/8.91 % (1719283)CaDiCaL version: 2.1.3
% 58.96/8.91 % (1719283)Termination reason: Instruction limit
% 58.96/8.91 % (1719283)Termination phase: Saturation
% 58.96/8.91 % (1719283)Time elapsed: 0.391 s
% 58.96/8.91 % (1719283)Peak memory usage: 12 MB
% 58.96/8.91 % (1719283)Instructions burned: 507 (million)
% 58.96/8.91 % (1719299)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=462733882:hsq=on:i=667:rtra=on:ixr=off_2926 on theBenchmark for (2926ds/667Mi)
% 58.96/8.91 % (1719300)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=3585569391:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2926 on theBenchmark for (2926ds/1801Mi)
% 58.96/8.91 % (1719285)Instruction limit reached!
% 58.96/8.91 % (1719285)------------------------------
% 58.96/8.91 % (1719285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.96/8.91 % (1719285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.96/8.91 % (1719285)CaDiCaL version: 2.1.3
% 58.96/8.91 % (1719285)Termination reason: Instruction limit
% 58.96/8.91 % (1719285)Termination phase: Saturation
% 58.96/8.91 % (1719285)Time elapsed: 0.672 s
% 58.96/8.91 % (1719285)Peak memory usage: 12 MB
% 58.96/8.91 % (1719285)Instructions burned: 888 (million)
% 58.96/8.91 % (1719303)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=3811967928:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2923 on theBenchmark for (2923ds/555Mi)
% 58.96/8.91 % (1719296)Instruction limit reached!
% 58.96/8.91 % (1719296)------------------------------
% 58.96/8.91 % (1719296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.96/8.91 % (1719296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.96/8.91 % (1719296)CaDiCaL version: 2.1.3
% 58.96/8.91 % (1719296)Termination reason: Instruction limit
% 58.96/8.91 % (1719296)Termination phase: Saturation
% 58.96/8.91 % (1719296)Time elapsed: 0.449 s
% 58.96/8.91 % (1719296)Peak memory usage: 12 MB
% 58.96/8.91 % (1719296)Instructions burned: 637 (million)
% 63.15/9.31 % (1719305)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=363681459:i=88:s2at=3:nm=2:rtra=on:rawr=on_2922 on theBenchmark for (2922ds/88Mi)
% 63.15/9.31 % (1719305)Instruction limit reached!
% 63.15/9.31 % (1719305)------------------------------
% 63.15/9.31 % (1719305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.15/9.31 % (1719305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.15/9.31 % (1719305)CaDiCaL version: 2.1.3
% 63.15/9.31 % (1719305)Termination reason: Instruction limit
% 63.15/9.31 % (1719305)Termination phase: Saturation
% 63.15/9.31 % (1719305)Time elapsed: 0.046 s
% 63.15/9.31 % (1719305)Peak memory usage: 12 MB
% 63.15/9.31 % (1719305)Instructions burned: 89 (million)
% 63.15/9.31 % (1719299)Instruction limit reached!
% 63.15/9.31 % (1719299)------------------------------
% 63.15/9.31 % (1719299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.15/9.31 % (1719299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.15/9.31 % (1719299)CaDiCaL version: 2.1.3
% 63.15/9.31 % (1719299)Termination reason: Instruction limit
% 63.15/9.31 % (1719299)Termination phase: Saturation
% 63.15/9.31 % (1719299)Time elapsed: 0.472 s
% 63.15/9.31 % (1719299)Peak memory usage: 12 MB
% 63.15/9.31 % (1719299)Instructions burned: 667 (million)
% 63.15/9.31 % (1719307)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2319960176:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2921 on theBenchmark for (2921ds/280Mi)
% 63.15/9.31 % (1719308)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=2021684034:s2a=on:i=3166:bd=preordered:rtra=on_2921 on theBenchmark for (2921ds/3166Mi)
% 63.15/9.31 % (1719303)Instruction limit reached!
% 63.15/9.31 % (1719303)------------------------------
% 63.15/9.31 % (1719303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.15/9.31 % (1719303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.15/9.31 % (1719303)CaDiCaL version: 2.1.3
% 63.15/9.31 % (1719303)Termination reason: Instruction limit
% 63.15/9.31 % (1719303)Termination phase: Saturation
% 63.15/9.31 % (1719303)Time elapsed: 0.405 s
% 63.15/9.31 % (1719303)Peak memory usage: 11 MB
% 63.15/9.31 % (1719303)Instructions burned: 555 (million)
% 63.15/9.31 % (1719311)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 63.15/9.31 % (1719307)Instruction limit reached!
% 63.15/9.31 % (1719307)------------------------------
% 63.15/9.31 % (1719307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.15/9.31 % (1719307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.15/9.31 % (1719307)CaDiCaL version: 2.1.3
% 63.15/9.31 % (1719307)Termination reason: Instruction limit
% 63.15/9.31 % (1719307)Termination phase: Saturation
% 63.15/9.31 % (1719307)Time elapsed: 0.236 s
% 63.15/9.31 % (1719307)Peak memory usage: 13 MB
% 63.15/9.31 % (1719307)Instructions burned: 281 (million)
% 63.15/9.31 % (1719311)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=765840701:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2919 on theBenchmark for (2919ds/4201Mi)
% 63.15/9.31 % (1719311)Refutation not found, incomplete strategy
% 63.15/9.31 % (1719311)------------------------------
% 63.15/9.31 % (1719311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.15/9.31 % (1719311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.15/9.31 % (1719311)CaDiCaL version: 2.1.3
% 63.15/9.31 % (1719311)Termination reason: Refutation not found, incomplete strategy
% 63.15/9.31 % (1719311)Time elapsed: 0.004 s
% 63.15/9.31 % (1719311)Peak memory usage: 11 MB
% 63.15/9.31 % (1719311)Instructions burned: 3 (million)
% 63.15/9.31 % (1719311)------------------------------
% 63.15/9.31 % (1719311)------------------------------
% 63.15/9.31 % (1719313)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2382031127:i=2352:rtra=on:ixr=off_2919 on theBenchmark for (2919ds/2352Mi)
% 63.15/9.31 % (1719314)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 63.15/9.31 % (1719314)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=2579903930:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2919 on theBenchmark for (2919ds/452Mi)
% 68.43/10.06 % (1719314)Refutation not found, incomplete strategy
% 68.43/10.06 % (1719314)------------------------------
% 68.43/10.06 % (1719314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.43/10.06 % (1719314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.43/10.06 % (1719314)CaDiCaL version: 2.1.3
% 68.43/10.06 % (1719314)Termination reason: Refutation not found, incomplete strategy
% 68.43/10.06 % (1719314)Time elapsed: 0.002 s
% 68.43/10.06 % (1719314)Peak memory usage: 11 MB
% 68.43/10.06 % (1719314)Instructions burned: 2 (million)
% 68.43/10.06 % (1719314)------------------------------
% 68.43/10.06 % (1719314)------------------------------
% 68.43/10.06 % (1719317)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 68.43/10.06 % (1719317)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 68.43/10.06 % (1719317)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=1762394294:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2918 on theBenchmark for (2918ds/483Mi)
% 68.43/10.06 % (1719317)Refutation not found, incomplete strategy
% 68.43/10.06 % (1719317)------------------------------
% 68.43/10.06 % (1719317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.43/10.06 % (1719317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.43/10.06 % (1719317)CaDiCaL version: 2.1.3
% 68.43/10.06 % (1719317)Termination reason: Refutation not found, incomplete strategy
% 68.43/10.06 % (1719317)Time elapsed: 0.001 s
% 68.43/10.06 % (1719317)Peak memory usage: 12 MB
% 68.43/10.06 % (1719317)------------------------------
% 68.43/10.06 % (1719317)------------------------------
% 68.43/10.06 % (1719319)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2454664105:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2918 on theBenchmark for (2918ds/168Mi)
% 68.43/10.06 % (1719319)Instruction limit reached!
% 68.43/10.06 % (1719319)------------------------------
% 68.43/10.06 % (1719319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.43/10.06 % (1719319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.43/10.06 % (1719319)CaDiCaL version: 2.1.3
% 68.43/10.06 % (1719319)Termination reason: Instruction limit
% 68.43/10.06 % (1719319)Termination phase: Saturation
% 68.43/10.06 % (1719319)Time elapsed: 0.136 s
% 68.43/10.06 % (1719319)Peak memory usage: 13 MB
% 68.43/10.06 % (1719319)Instructions burned: 168 (million)
% 68.43/10.06 % (1719325)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=917062791: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_2916 on theBenchmark for (2916ds/17240Mi)
% 68.43/10.06 % (1719300)Instruction limit reached!
% 68.43/10.06 % (1719300)------------------------------
% 68.43/10.06 % (1719300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.43/10.06 % (1719300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.43/10.06 % (1719300)CaDiCaL version: 2.1.3
% 68.43/10.06 % (1719300)Termination reason: Instruction limit
% 68.43/10.06 % (1719300)Termination phase: Saturation
% 68.43/10.06 % (1719300)Time elapsed: 1.189 s
% 68.43/10.06 % (1719300)Peak memory usage: 15 MB
% 68.43/10.06 % (1719300)Instructions burned: 1802 (million)
% 68.43/10.06 % (1719146)Instruction limit reached!
% 68.43/10.06 % (1719146)------------------------------
% 68.43/10.06 % (1719146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.43/10.06 % (1719146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.43/10.06 % (1719146)CaDiCaL version: 2.1.3
% 68.43/10.06 % (1719146)Termination reason: Instruction limit
% 68.43/10.06 % (1719146)Termination phase: Saturation
% 68.43/10.06 % (1719146)Time elapsed: 5.355 s
% 68.43/10.06 % (1719146)Peak memory usage: 22 MB
% 68.43/10.06 % (1719146)Instructions burned: 6360 (million)
% 68.43/10.06 % (1719330)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=3802675029:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2914 on theBenchmark for (2914ds/2274Mi)
% 69.30/10.22 % (1719329)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=2138507832:i=2022:fsr=off:rtra=on:ixr=off_2914 on theBenchmark for (2914ds/2022Mi)
% 69.30/10.22 % (1719272)Instruction limit reached!
% 69.30/10.22 % (1719272)------------------------------
% 69.30/10.22 % (1719272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.30/10.22 % (1719272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.30/10.22 % (1719272)CaDiCaL version: 2.1.3
% 69.30/10.22 % (1719272)Termination reason: Instruction limit
% 69.30/10.22 % (1719272)Termination phase: Saturation
% 69.30/10.22 % (1719272)Time elapsed: 2.678 s
% 69.30/10.22 % (1719272)Peak memory usage: 29 MB
% 69.30/10.22 % (1719272)Instructions burned: 6582 (million)
% 69.30/10.22 % (1719333)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=323543930:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2913 on theBenchmark for (2913ds/555Mi)
% 69.30/10.22 % (1719295)Instruction limit reached!
% 69.30/10.22 % (1719295)------------------------------
% 69.30/10.22 % (1719295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.30/10.22 % (1719295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.30/10.22 % (1719295)CaDiCaL version: 2.1.3
% 69.30/10.22 % (1719295)Termination reason: Instruction limit
% 69.30/10.22 % (1719295)Termination phase: Saturation
% 69.30/10.22 % (1719295)Time elapsed: 1.525 s
% 69.30/10.22 % (1719295)Peak memory usage: 13 MB
% 69.30/10.22 % (1719295)Instructions burned: 2296 (million)
% 69.30/10.22 % (1719335)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=3258983454:avsq=on:i=2220:rtra=on_2912 on theBenchmark for (2912ds/2220Mi)
% 69.30/10.22 % (1719333)Instruction limit reached!
% 69.30/10.22 % (1719333)------------------------------
% 69.30/10.22 % (1719333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.30/10.22 % (1719333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.30/10.22 % (1719333)CaDiCaL version: 2.1.3
% 69.30/10.22 % (1719333)Termination reason: Instruction limit
% 69.30/10.22 % (1719333)Termination phase: Saturation
% 69.30/10.22 % (1719333)Time elapsed: 0.183 s
% 69.30/10.22 % (1719333)Peak memory usage: 13 MB
% 69.30/10.22 % (1719333)Instructions burned: 556 (million)
% 69.30/10.22 % (1719337)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3908530408:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2911 on theBenchmark for (2911ds/715Mi)
% 69.30/10.22 % (1719337)Refutation not found, incomplete strategy
% 69.30/10.22 % (1719337)------------------------------
% 69.30/10.22 % (1719337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.30/10.22 % (1719337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.30/10.22 % (1719337)CaDiCaL version: 2.1.3
% 69.30/10.22 % (1719337)Termination reason: Refutation not found, incomplete strategy
% 69.30/10.22 % (1719337)Time elapsed: 0.002 s
% 69.30/10.22 % (1719337)Peak memory usage: 11 MB
% 69.30/10.22 % (1719337)Instructions burned: 2 (million)
% 69.30/10.22 % (1719337)------------------------------
% 69.30/10.22 % (1719337)------------------------------
% 69.30/10.22 % (1719339)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
% 69.30/10.22 % (1719339)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=69191313:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2910 on theBenchmark for (2910ds/1979Mi)
% 69.30/10.22 % (1719339)Refutation not found, incomplete strategy
% 69.30/10.22 % (1719339)------------------------------
% 69.30/10.22 % (1719339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.30/10.22 % (1719339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.30/10.22 % (1719339)CaDiCaL version: 2.1.3
% 69.30/10.22 % (1719339)Termination reason: Refutation not found, incomplete strategy
% 69.30/10.22 % (1719339)Time elapsed: 0.002 s
% 69.30/10.22 % (1719339)Peak memory usage: 11 MB
% 69.30/10.22 % (1719339)Instructions burned: 1 (million)
% 69.30/10.22 % (1719339)------------------------------
% 69.30/10.22 % (1719339)------------------------------
% 69.30/10.22 % (1719341)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=2001229109:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2910 on theBenchmark for (2910ds/28911Mi)
% 71.35/10.86 % (1719341)Refutation not found, incomplete strategy
% 71.35/10.86 % (1719341)------------------------------
% 71.35/10.86 % (1719341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.86 % (1719341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.86 % (1719341)CaDiCaL version: 2.1.3
% 71.35/10.86 % (1719341)Termination reason: Refutation not found, incomplete strategy
% 71.35/10.86 % (1719341)Time elapsed: 0.001 s
% 71.35/10.86 % (1719341)Peak memory usage: 12 MB
% 71.35/10.86 % (1719341)------------------------------
% 71.35/10.86 % (1719341)------------------------------
% 71.35/10.86 % (1719343)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=3676824066:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2910 on theBenchmark for (2910ds/414Mi)
% 71.35/10.86 % (1719343)Refutation not found, incomplete strategy
% 71.35/10.86 % (1719343)------------------------------
% 71.35/10.86 % (1719343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.86 % (1719343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.86 % (1719343)CaDiCaL version: 2.1.3
% 71.35/10.86 % (1719343)Termination reason: Refutation not found, incomplete strategy
% 71.35/10.86 % (1719343)Time elapsed: 0.002 s
% 71.35/10.86 % (1719343)Peak memory usage: 12 MB
% 71.35/10.86 % (1719343)Instructions burned: 3 (million)
% 71.35/10.86 % (1719343)------------------------------
% 71.35/10.86 % (1719343)------------------------------
% 71.35/10.86 % (1719345)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1004904945:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2909 on theBenchmark for (2909ds/429Mi)
% 71.35/10.86 % (1719345)Instruction limit reached!
% 71.35/10.86 % (1719345)------------------------------
% 71.35/10.86 % (1719345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.86 % (1719345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.86 % (1719345)CaDiCaL version: 2.1.3
% 71.35/10.86 % (1719345)Termination reason: Instruction limit
% 71.35/10.86 % (1719345)Termination phase: Saturation
% 71.35/10.86 % (1719345)Time elapsed: 0.193 s
% 71.35/10.86 % (1719345)Peak memory usage: 13 MB
% 71.35/10.86 % (1719345)Instructions burned: 431 (million)
% 71.35/10.86 % (1719349)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 71.35/10.86 % (1719349)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2915805808:lrd=on:i=841:nm=0:rtra=on_2907 on theBenchmark for (2907ds/841Mi)
% 71.35/10.86 % (1719313)Instruction limit reached!
% 71.35/10.86 % (1719313)------------------------------
% 71.35/10.86 % (1719313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.86 % (1719313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.86 % (1719313)CaDiCaL version: 2.1.3
% 71.35/10.86 % (1719313)Termination reason: Instruction limit
% 71.35/10.86 % (1719313)Termination phase: Saturation
% 71.35/10.86 % (1719313)Time elapsed: 1.574 s
% 71.35/10.86 % (1719313)Peak memory usage: 13 MB
% 71.35/10.86 % (1719313)Instructions burned: 2353 (million)
% 71.35/10.86 % (1719349)Instruction limit reached!
% 71.35/10.86 % (1719349)------------------------------
% 71.35/10.86 % (1719349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.86 % (1719349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.86 % (1719349)CaDiCaL version: 2.1.3
% 71.35/10.86 % (1719349)Termination reason: Instruction limit
% 71.35/10.86 % (1719349)Termination phase: Saturation
% 71.35/10.86 % (1719349)Time elapsed: 0.449 s
% 71.35/10.86 % (1719349)Peak memory usage: 12 MB
% 71.35/10.86 % (1719349)Instructions burned: 841 (million)
% 71.35/10.86 % (1719351)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=47036197:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2903 on theBenchmark for (2903ds/445Mi)
% 71.35/10.86 % (1719352)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=4112617456:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2903 on theBenchmark for (2903ds/1324Mi)
% 71.35/10.86 % (1719352)Refutation not found, incomplete strategy
% 71.35/10.86 % (1719352)------------------------------
% 71.35/10.86 % (1719352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.36/11.27 % (1719352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.36/11.27 % (1719352)CaDiCaL version: 2.1.3
% 76.36/11.27 % (1719352)Termination reason: Refutation not found, incomplete strategy
% 76.36/11.27 % (1719352)Time elapsed: 0.003 s
% 76.36/11.27 % (1719352)Peak memory usage: 12 MB
% 76.36/11.27 % (1719352)Instructions burned: 1 (million)
% 76.36/11.27 % (1719352)------------------------------
% 76.36/11.27 % (1719352)------------------------------
% 76.36/11.27 % (1719355)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=3854487495:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2902 on theBenchmark for (2902ds/5401Mi)
% 76.36/11.27 % (1719355)Refutation not found, incomplete strategy
% 76.36/11.27 % (1719355)------------------------------
% 76.36/11.27 % (1719355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.36/11.27 % (1719355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.36/11.27 % (1719355)CaDiCaL version: 2.1.3
% 76.36/11.27 % (1719355)Termination reason: Refutation not found, incomplete strategy
% 76.36/11.27 % (1719355)Time elapsed: 0.001 s
% 76.36/11.27 % (1719355)Peak memory usage: 11 MB
% 76.36/11.27 % (1719355)------------------------------
% 76.36/11.27 % (1719355)------------------------------
% 76.36/11.27 % (1719357)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=944735187:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2902 on theBenchmark for (2902ds/4070Mi)
% 76.36/11.27 % (1719335)Instruction limit reached!
% 76.36/11.27 % (1719335)------------------------------
% 76.36/11.27 % (1719335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.36/11.27 % (1719335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.36/11.27 % (1719335)CaDiCaL version: 2.1.3
% 76.36/11.27 % (1719335)Termination reason: Instruction limit
% 76.36/11.27 % (1719335)Termination phase: Saturation
% 76.36/11.27 % (1719335)Time elapsed: 1.001 s
% 76.36/11.27 % (1719335)Peak memory usage: 14 MB
% 76.36/11.27 % (1719335)Instructions burned: 2220 (million)
% 76.36/11.27 % (1719359)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3464414497:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2901 on theBenchmark for (2901ds/984Mi)
% 76.36/11.27 % (1719359)Refutation not found, incomplete strategy
% 76.36/11.27 % (1719359)------------------------------
% 76.36/11.27 % (1719359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.36/11.27 % (1719359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.36/11.27 % (1719359)CaDiCaL version: 2.1.3
% 76.36/11.27 % (1719359)Termination reason: Refutation not found, incomplete strategy
% 76.36/11.27 % (1719359)Time elapsed: 0.001 s
% 76.36/11.27 % (1719359)Peak memory usage: 11 MB
% 76.36/11.27 % (1719359)Instructions burned: 1 (million)
% 76.36/11.27 % (1719359)------------------------------
% 76.36/11.27 % (1719359)------------------------------
% 76.36/11.27 % (1719361)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=1962861529:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2901 on theBenchmark for (2901ds/112Mi)
% 76.36/11.27 % (1719361)Refutation not found, incomplete strategy
% 76.36/11.27 % (1719361)------------------------------
% 76.36/11.27 % (1719361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.36/11.27 % (1719361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.36/11.27 % (1719361)CaDiCaL version: 2.1.3
% 76.36/11.27 % (1719361)Termination reason: Refutation not found, incomplete strategy
% 76.36/11.27 % (1719361)Time elapsed: 0.001 s
% 76.36/11.27 % (1719361)Peak memory usage: 11 MB
% 76.36/11.27 % (1719361)Instructions burned: 1 (million)
% 76.36/11.27 % (1719361)------------------------------
% 76.36/11.27 % (1719361)------------------------------
% 76.36/11.27 % (1719363)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3939924447:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2901 on theBenchmark for (2901ds/1144Mi)
% 76.36/11.27 % (1719363)Refutation not found, incomplete strategy
% 76.36/11.27 % (1719363)------------------------------
% 76.36/11.27 % (1719363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.36/11.27 % (1719363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.36/11.27 % (1719363)CaDiCaL version: 2.1.3
% 76.36/11.27 % (1719363)Termination reason: Refutation not found, incomplete strategy
% 76.36/11.27 % (1719363)Time elapsed: 0.0000 s
% 76.36/11.27 % (1719363)Peak memory usage: 12 MB
% 90.63/13.21 % (1719363)------------------------------
% 90.63/13.21 % (1719363)------------------------------
% 90.63/13.21 % (1719365)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=1355571226:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2901 on theBenchmark for (2901ds/1352Mi)
% 90.63/13.21 % (1719351)Instruction limit reached!
% 90.63/13.21 % (1719351)------------------------------
% 90.63/13.21 % (1719351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.63/13.21 % (1719351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.63/13.21 % (1719351)CaDiCaL version: 2.1.3
% 90.63/13.21 % (1719351)Termination reason: Instruction limit
% 90.63/13.21 % (1719351)Termination phase: Saturation
% 90.63/13.21 % (1719351)Time elapsed: 0.372 s
% 90.63/13.21 % (1719351)Peak memory usage: 14 MB
% 90.63/13.21 % (1719351)Instructions burned: 445 (million)
% 90.63/13.21 % (1719329)Instruction limit reached!
% 90.63/13.21 % (1719329)------------------------------
% 90.63/13.21 % (1719329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.63/13.21 % (1719329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.63/13.21 % (1719329)CaDiCaL version: 2.1.3
% 90.63/13.21 % (1719329)Termination reason: Instruction limit
% 90.63/13.21 % (1719329)Termination phase: Saturation
% 90.63/13.21 % (1719329)Time elapsed: 1.502 s
% 90.63/13.21 % (1719329)Peak memory usage: 13 MB
% 90.63/13.21 % (1719329)Instructions burned: 2022 (million)
% 90.63/13.21 % (1719368)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=2418160052:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2899 on theBenchmark for (2899ds/908Mi)
% 90.63/13.21 % (1719367)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=1473231381:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2899 on theBenchmark for (2899ds/693Mi)
% 90.63/13.21 % (1719330)Instruction limit reached!
% 90.63/13.21 % (1719330)------------------------------
% 90.63/13.21 % (1719330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.63/13.21 % (1719330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.63/13.21 % (1719330)CaDiCaL version: 2.1.3
% 90.63/13.21 % (1719330)Termination reason: Instruction limit
% 90.63/13.21 % (1719330)Termination phase: Saturation
% 90.63/13.21 % (1719330)Time elapsed: 1.662 s
% 90.63/13.21 % (1719330)Peak memory usage: 17 MB
% 90.63/13.21 % (1719330)Instructions burned: 2274 (million)
% 90.63/13.21 % (1719371)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=1083443819:i=6901:add=on:slsql=off:rtra=on:ntd=on_2897 on theBenchmark for (2897ds/6901Mi)
% 90.63/13.21 % (1719308)Instruction limit reached!
% 90.63/13.21 % (1719308)------------------------------
% 90.63/13.21 % (1719308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.63/13.21 % (1719308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.63/13.21 % (1719308)CaDiCaL version: 2.1.3
% 90.63/13.21 % (1719308)Termination reason: Instruction limit
% 90.63/13.21 % (1719308)Termination phase: Saturation
% 90.63/13.21 % (1719308)Time elapsed: 2.425 s
% 90.63/13.21 % (1719308)Peak memory usage: 13 MB
% 90.63/13.21 % (1719308)Instructions burned: 3166 (million)
% 90.63/13.21 % (1719373)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=317375758:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2897 on theBenchmark for (2897ds/3621Mi)
% 90.63/13.21 % (1719368)Instruction limit reached!
% 90.63/13.21 % (1719368)------------------------------
% 90.63/13.21 % (1719368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.63/13.21 % (1719368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.63/13.21 % (1719368)CaDiCaL version: 2.1.3
% 90.63/13.21 % (1719368)Termination reason: Instruction limit
% 90.63/13.21 % (1719368)Termination phase: Saturation
% 90.63/13.21 % (1719368)Time elapsed: 0.398 s
% 90.63/13.21 % (1719368)Peak memory usage: 15 MB
% 90.63/13.21 % (1719368)Instructions burned: 910 (million)
% 90.63/13.21 % (1719375)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=3530308305:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2894 on theBenchmark for (2894ds/1160Mi)
% 90.63/13.21 % (1719375)Refutation not found, incomplete strategy
% 90.63/13.21 % (1719375)------------------------------
% 100.05/14.67 % (1719375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 100.05/14.67 % (1719375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.05/14.67 % (1719375)CaDiCaL version: 2.1.3
% 100.05/14.67 % (1719375)Termination reason: Refutation not found, incomplete strategy
% 100.05/14.67 % (1719375)Time elapsed: 0.003 s
% 100.05/14.67 % (1719375)Peak memory usage: 11 MB
% 100.05/14.67 % (1719375)Instructions burned: 3 (million)
% 100.05/14.67 % (1719375)------------------------------
% 100.05/14.67 % (1719375)------------------------------
% 100.05/14.67 % (1719377)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=1851240521:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2894 on theBenchmark for (2894ds/570Mi)
% 100.05/14.67 % (1719367)Instruction limit reached!
% 100.05/14.67 % (1719367)------------------------------
% 100.05/14.67 % (1719367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 100.05/14.67 % (1719367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.05/14.67 % (1719367)CaDiCaL version: 2.1.3
% 100.05/14.67 % (1719367)Termination reason: Instruction limit
% 100.05/14.67 % (1719367)Termination phase: Saturation
% 100.05/14.67 % (1719367)Time elapsed: 0.482 s
% 100.05/14.67 % (1719367)Peak memory usage: 12 MB
% 100.05/14.67 % (1719367)Instructions burned: 693 (million)
% 100.05/14.67 % (1719379)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=604000000:i=324:bd=all:ins=4:rtra=on_2894 on theBenchmark for (2894ds/324Mi)
% 100.05/14.67 % (1719365)Instruction limit reached!
% 100.05/14.67 % (1719365)------------------------------
% 100.05/14.67 % (1719365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 100.05/14.67 % (1719365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.05/14.67 % (1719365)CaDiCaL version: 2.1.3
% 100.05/14.67 % (1719365)Termination reason: Instruction limit
% 100.05/14.67 % (1719365)Termination phase: Saturation
% 100.05/14.67 % (1719365)Time elapsed: 0.799 s
% 100.05/14.67 % (1719365)Peak memory usage: 12 MB
% 100.05/14.67 % (1719365)Instructions burned: 1353 (million)
% 100.05/14.67 % (1719381)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=1131155953:s2a=on:i=5712:rtra=on_2892 on theBenchmark for (2892ds/5712Mi)
% 100.05/14.67 % (1719379)Instruction limit reached!
% 100.05/14.67 % (1719379)------------------------------
% 100.05/14.67 % (1719379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 100.05/14.67 % (1719379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.05/14.67 % (1719379)CaDiCaL version: 2.1.3
% 100.05/14.67 % (1719379)Termination reason: Instruction limit
% 100.05/14.67 % (1719379)Termination phase: Saturation
% 100.05/14.67 % (1719379)Time elapsed: 0.136 s
% 100.05/14.67 % (1719379)Peak memory usage: 14 MB
% 100.05/14.67 % (1719379)Instructions burned: 324 (million)
% 100.05/14.67 % (1719383)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 100.05/14.67 % (1719383)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 100.05/14.67 % (1719383)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=3616940193:i=901:rtra=on:fsd=on_2892 on theBenchmark for (2892ds/901Mi)
% 100.05/14.67 % (1719377)Instruction limit reached!
% 100.05/14.67 % (1719377)------------------------------
% 100.05/14.67 % (1719377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 100.05/14.67 % (1719377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.05/14.67 % (1719377)CaDiCaL version: 2.1.3
% 100.05/14.67 % (1719377)Termination reason: Instruction limit
% 100.05/14.67 % (1719377)Termination phase: Saturation
% 100.05/14.67 % (1719377)Time elapsed: 0.363 s
% 100.05/14.67 % (1719377)Peak memory usage: 13 MB
% 100.05/14.67 % (1719377)Instructions burned: 570 (million)
% 100.05/14.67 % (1719385)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=147943533:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2890 on theBenchmark for (2890ds/2961Mi)
% 100.05/14.67 % (1719385)Refutation not found, incomplete strategy
% 100.05/14.67 % (1719385)------------------------------
% 100.05/14.67 % (1719385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 108.53/15.92 % (1719385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 108.53/15.92 % (1719385)CaDiCaL version: 2.1.3
% 108.53/15.92 % (1719385)Termination reason: Refutation not found, incomplete strategy
% 108.53/15.92 % (1719385)Time elapsed: 0.002 s
% 108.53/15.92 % (1719385)Peak memory usage: 11 MB
% 108.53/15.92 % (1719385)------------------------------
% 108.53/15.92 % (1719385)------------------------------
% 108.53/15.92 % (1719387)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=3779430761:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2890 on theBenchmark for (2890ds/3526Mi)
% 108.53/15.92 % (1719383)Instruction limit reached!
% 108.53/15.92 % (1719383)------------------------------
% 108.53/15.92 % (1719383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 108.53/15.92 % (1719383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 108.53/15.92 % (1719383)CaDiCaL version: 2.1.3
% 108.53/15.92 % (1719383)Termination reason: Instruction limit
% 108.53/15.92 % (1719383)Termination phase: Saturation
% 108.53/15.92 % (1719383)Time elapsed: 0.654 s
% 108.53/15.92 % (1719383)Peak memory usage: 13 MB
% 108.53/15.92 % (1719383)Instructions burned: 901 (million)
% 108.53/15.92 % (1719389)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=979612258:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2885 on theBenchmark for (2885ds/3368Mi)
% 108.53/15.92 % (1719389)Refutation not found, incomplete strategy
% 108.53/15.92 % (1719389)------------------------------
% 108.53/15.92 % (1719389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 108.53/15.92 % (1719389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 108.53/15.92 % (1719389)CaDiCaL version: 2.1.3
% 108.53/15.92 % (1719389)Termination reason: Refutation not found, incomplete strategy
% 108.53/15.92 % (1719389)Time elapsed: 0.001 s
% 108.53/15.92 % (1719389)Peak memory usage: 11 MB
% 108.53/15.92 % (1719389)------------------------------
% 108.53/15.92 % (1719389)------------------------------
% 108.53/15.92 % (1719391)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=3423304476:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2885 on theBenchmark for (2885ds/20626Mi)
% 108.53/15.92 % (1719381)Instruction limit reached!
% 108.53/15.92 % (1719381)------------------------------
% 108.53/15.92 % (1719381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 108.53/15.92 % (1719381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 108.53/15.92 % (1719381)CaDiCaL version: 2.1.3
% 108.53/15.92 % (1719381)Termination reason: Instruction limit
% 108.53/15.92 % (1719381)Termination phase: Saturation
% 108.53/15.92 % (1719381)Time elapsed: 1.955 s
% 108.53/15.92 % (1719381)Peak memory usage: 14 MB
% 108.53/15.92 % (1719381)Instructions burned: 5712 (million)
% 108.53/15.92 % (1719395)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=4075917987:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2873 on theBenchmark for (2873ds/27154Mi)
% 108.53/15.92 % (1719357)Instruction limit reached!
% 108.53/15.92 % (1719357)------------------------------
% 108.53/15.92 % (1719357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 108.53/15.92 % (1719357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 108.53/15.93 % (1719357)CaDiCaL version: 2.1.3
% 108.53/15.93 % (1719357)Termination reason: Instruction limit
% 108.53/15.93 % (1719357)Termination phase: Saturation
% 108.53/15.93 % (1719357)Time elapsed: 3.065 s
% 108.53/15.93 % (1719357)Peak memory usage: 16 MB
% 108.53/15.93 % (1719357)Instructions burned: 4071 (million)
% 108.53/15.93 % (1719397)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2233475841:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2871 on theBenchmark for (2871ds/515Mi)
% 108.53/15.93 % (1719397)Refutation not found, incomplete strategy
% 108.53/15.93 % (1719397)------------------------------
% 108.53/15.93 % (1719397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 108.53/15.93 % (1719397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 108.53/15.93 % (1719397)CaDiCaL version: 2.1.3
% 108.53/15.93 % (1719397)Termination reason: Refutation not found, incomplete strategy
% 108.53/15.93 % (1719397)Time elapsed: 0.002 s
% 108.53/15.93 % (1719397)Peak memory usage: 12 MB
% 108.53/15.93 % (1719397)Instructions burned: 1 (million)
% 108.53/15.93 % (1719397)------------------------------
% 112.70/16.39 % (1719397)------------------------------
% 112.70/16.39 % (1719399)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=1945330315:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2871 on theBenchmark for (2871ds/2653Mi)
% 112.70/16.39 % (1719373)Instruction limit reached!
% 112.70/16.39 % (1719373)------------------------------
% 112.70/16.39 % (1719373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.70/16.39 % (1719373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.70/16.39 % (1719373)CaDiCaL version: 2.1.3
% 112.70/16.39 % (1719373)Termination reason: Instruction limit
% 112.70/16.39 % (1719373)Termination phase: Saturation
% 112.70/16.39 % (1719373)Time elapsed: 2.688 s
% 112.70/16.39 % (1719373)Peak memory usage: 16 MB
% 112.70/16.39 % (1719373)Instructions burned: 3621 (million)
% 112.70/16.39 % (1719401)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
% 112.70/16.39 % (1719401)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=39590710:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2870 on theBenchmark for (2870ds/1297Mi)
% 112.70/16.39 % (1719387)Instruction limit reached!
% 112.70/16.39 % (1719387)------------------------------
% 112.70/16.39 % (1719387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.70/16.39 % (1719387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.70/16.39 % (1719387)CaDiCaL version: 2.1.3
% 112.70/16.39 % (1719387)Termination reason: Instruction limit
% 112.70/16.39 % (1719387)Termination phase: Saturation
% 112.70/16.39 % (1719387)Time elapsed: 2.343 s
% 112.70/16.39 % (1719387)Peak memory usage: 15 MB
% 112.70/16.39 % (1719387)Instructions burned: 3526 (million)
% 112.70/16.39 % (1719403)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=2275514231:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_2866 on theBenchmark for (2866ds/1950Mi)
% 112.70/16.39 % (1719371)Instruction limit reached!
% 112.70/16.39 % (1719371)------------------------------
% 112.70/16.39 % (1719371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.70/16.39 % (1719371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.70/16.39 % (1719371)CaDiCaL version: 2.1.3
% 112.70/16.39 % (1719371)Termination reason: Instruction limit
% 112.70/16.39 % (1719371)Termination phase: Saturation
% 112.70/16.39 % (1719371)Time elapsed: 3.618 s
% 112.70/16.39 % (1719371)Peak memory usage: 14 MB
% 112.70/16.39 % (1719371)Instructions burned: 6903 (million)
% 112.70/16.39 % (1719405)dis+1010_1_anc=none:to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=arity:lma=off:urr=on:bce=on:nwc=20:br=off:avsqc=1:random_seed=951271628:avsq=on:i=2818:add=on:avsqr=16,1:hud=0:rtra=on:ss=included:ixr=off:sgt=16_2861 on theBenchmark for (2861ds/2818Mi)
% 112.70/16.39 % (1719401)Instruction limit reached!
% 112.70/16.39 % (1719401)------------------------------
% 112.70/16.39 % (1719401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.70/16.39 % (1719401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.70/16.39 % (1719401)CaDiCaL version: 2.1.3
% 112.70/16.39 % (1719401)Termination reason: Instruction limit
% 112.70/16.39 % (1719401)Termination phase: Saturation
% 112.70/16.39 % (1719401)Time elapsed: 0.936 s
% 112.70/16.39 % (1719401)Peak memory usage: 13 MB
% 112.70/16.39 % (1719401)Instructions burned: 1298 (million)
% 112.70/16.39 % (1719407)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=2527541634:s2a=on:i=573:rtra=on:gsp=on_2860 on theBenchmark for (2860ds/573Mi)
% 112.70/16.39 % (1719407)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 112.70/16.39 % (1719407)Instruction limit reached!
% 112.70/16.39 % (1719407)------------------------------
% 112.70/16.39 % (1719407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.70/16.39 % (1719407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.70/16.39 % (1719407)CaDiCaL version: 2.1.3
% 112.70/16.39 % (1719407)Termination reason: Instruction limit
% 112.70/16.39 % (1719407)Termination phase: Saturation
% 112.70/16.39 % (1719407)Time elapsed: 0.362 s
% 112.70/16.39 % (1719407)Peak memory usage: 13 MB
% 112.70/16.39 % (1719407)Instructions burned: 574 (million)
% 116.39/16.96 % (1719409)lrs+10_1_sil=128000:cnfonf=off:si=on:fd=preordered:random_seed=1557099949:s2a=on:i=9598:bd=preordered:rtra=on:fe=abstraction_2856 on theBenchmark for (2856ds/9598Mi)
% 116.39/16.96 % (1719403)Instruction limit reached!
% 116.39/16.96 % (1719403)------------------------------
% 116.39/16.96 % (1719403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.39/16.96 % (1719403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.39/16.96 % (1719403)CaDiCaL version: 2.1.3
% 116.39/16.96 % (1719403)Termination reason: Instruction limit
% 116.39/16.96 % (1719403)Termination phase: Saturation
% 116.39/16.96 % (1719403)Time elapsed: 1.184 s
% 116.39/16.96 % (1719403)Peak memory usage: 14 MB
% 116.39/16.96 % (1719403)Instructions burned: 1951 (million)
% 116.39/16.96 % (1719411)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 116.39/16.96 % (1719411)ott+1002_16_sil=128000:si=on:random_seed=1071392116:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2854 on theBenchmark for (2854ds/409Mi)
% 116.39/16.96 % (1719411)Instruction limit reached!
% 116.39/16.96 % (1719411)------------------------------
% 116.39/16.96 % (1719411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.39/16.96 % (1719411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.39/16.96 % (1719411)CaDiCaL version: 2.1.3
% 116.39/16.96 % (1719411)Termination reason: Instruction limit
% 116.39/16.96 % (1719411)Termination phase: Saturation
% 116.39/16.96 % (1719411)Time elapsed: 0.238 s
% 116.39/16.96 % (1719411)Peak memory usage: 13 MB
% 116.39/16.96 % (1719411)Instructions burned: 410 (million)
% 116.39/16.96 % (1719413)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=698444132:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2852 on theBenchmark for (2852ds/403Mi)
% 116.39/16.96 % (1719413)Refutation not found, incomplete strategy
% 116.39/16.96 % (1719413)------------------------------
% 116.39/16.96 % (1719413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.39/16.96 % (1719413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.39/16.96 % (1719413)CaDiCaL version: 2.1.3
% 116.39/16.96 % (1719413)Termination reason: Refutation not found, incomplete strategy
% 116.39/16.96 % (1719413)Time elapsed: 0.001 s
% 116.39/16.96 % (1719413)Peak memory usage: 11 MB
% 116.39/16.96 % (1719413)Instructions burned: 1 (million)
% 116.39/16.96 % (1719413)------------------------------
% 116.39/16.96 % (1719413)------------------------------
% 116.39/16.96 % (1719415)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=779795551:cond=on:i=1140:rtra=on:ntd=on_2851 on theBenchmark for (2851ds/1140Mi)
% 116.39/16.96 % (1719399)Instruction limit reached!
% 116.39/16.96 % (1719399)------------------------------
% 116.39/16.96 % (1719399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.39/16.96 % (1719399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.39/16.96 % (1719399)CaDiCaL version: 2.1.3
% 116.39/16.96 % (1719399)Termination reason: Instruction limit
% 116.39/16.96 % (1719399)Termination phase: Saturation
% 116.39/16.96 % (1719399)Time elapsed: 1.984 s
% 116.39/16.96 % (1719399)Peak memory usage: 13 MB
% 116.39/16.96 % (1719399)Instructions burned: 2653 (million)
% 116.39/16.96 % (1719417)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=1180791445:i=13574:kws=inv_precedence:rtra=on_2851 on theBenchmark for (2851ds/13574Mi)
% 116.39/16.96 % (1719417)Refutation not found, incomplete strategy
% 116.39/16.96 % (1719417)------------------------------
% 116.39/16.96 % (1719417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.39/16.96 % (1719417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.39/16.96 % (1719417)CaDiCaL version: 2.1.3
% 116.39/16.96 % (1719417)Termination reason: Refutation not found, incomplete strategy
% 116.39/16.96 % (1719417)Time elapsed: 0.002 s
% 116.39/16.96 % (1719417)Peak memory usage: 11 MB
% 116.39/16.96 % (1719417)Instructions burned: 1 (million)
% 116.39/16.96 % (1719417)------------------------------
% 116.39/16.96 % (1719417)------------------------------
% 116.39/16.96 % (1719419)lrs+10_2:1_si=on:random_seed=811184779:s2a=on:i=1055:rtra=on:fe=abstraction_2850 on theBenchmark for (2850ds/1055Mi)
% 116.39/16.96 % (1719419)Instruction limit reached!
% 116.39/16.96 % (1719419)------------------------------
% 116.39/16.96 % (1719419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.39/16.96 % (1719419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.39/16.96 % (1719419)CaDiCaL version: 2.1.3
% 116.39/16.96 % (1719419)Termination reason: Instruction limit
% 116.39/16.96 % (1719419)Termination phase: Saturation
% 116.39/16.96 % (1719419)Time elapsed: 0.664 s
% 116.39/16.96 % (1719419)Peak memory usage: 13 MB
% 116.39/16.96 % (1719419)Instructions burned: 1056 (million)
% 116.39/16.96 % (1719421)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 116.39/16.96 % (1719421)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=2398335348:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2844 on theBenchmark for (2844ds/416Mi)
% 116.39/16.96 % (1719415)Instruction limit reached!
% 116.39/16.96 % (1719415)------------------------------
% 116.39/16.96 % (1719415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.39/16.96 % (1719415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.39/16.96 % (1719415)CaDiCaL version: 2.1.3
% 116.39/16.96 % (1719415)Termination reason: Instruction limit
% 116.39/16.96 % (1719415)Termination phase: Saturation
% 116.39/16.96 % (1719415)Time elapsed: 0.784 s
% 116.39/16.96 % (1719415)Peak memory usage: 12 MB
% 116.39/16.96 % (1719415)Instructions burned: 1141 (million)
% 116.39/16.96 % (1719423)dis+10_5:1_to=lpo:fde=unused:si=on:spb=goal_then_units:uwa=off:s2agt=10:random_seed=3369288470:s2a=on:i=8946:bd=preordered:av=off:rtra=on_2843 on theBenchmark for (2843ds/8946Mi)
% 116.39/16.96 % (1719421)Instruction limit reached!
% 116.39/16.96 % (1719421)------------------------------
% 116.39/16.96 % (1719421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.39/16.96 % (1719421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.39/16.96 % (1719421)CaDiCaL version: 2.1.3
% 116.39/16.96 % (1719421)Termination reason: Instruction limit
% 116.39/16.96 % (1719421)Termination phase: Saturation
% 116.39/16.96 % (1719421)Time elapsed: 0.347 s
% 116.39/16.96 % (1719421)Peak memory usage: 13 MB
% 116.39/16.96 % (1719421)Instructions burned: 417 (million)
% 116.39/16.96 % (1719425)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3776711983:s2a=on:i=2129:nm=16:rtra=on_2840 on theBenchmark for (2840ds/2129Mi)
% 116.39/16.97 % (1719425)Refutation not found, incomplete strategy
% 116.39/16.97 % (1719425)------------------------------
% 116.39/16.97 % (1719425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.39/16.97 % (1719425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.39/16.97 % (1719425)CaDiCaL version: 2.1.3
% 116.39/16.97 % (1719425)Termination reason: Refutation not found, incomplete strategy
% 116.39/16.97 % (1719425)Time elapsed: 0.002 s
% 116.39/16.97 % (1719425)Peak memory usage: 12 MB
% 116.39/16.97 % (1719425)Instructions burned: 1 (million)
% 116.39/16.97 % (1719425)------------------------------
% 116.39/16.97 % (1719425)------------------------------
% 116.39/16.97 % (1719405)Instruction limit reached!
% 116.39/16.97 % (1719405)------------------------------
% 116.39/16.97 % (1719405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.39/16.97 % (1719405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.39/16.97 % (1719405)CaDiCaL version: 2.1.3
% 116.39/16.97 % (1719405)Termination reason: Instruction limit
% 116.39/16.97 % (1719405)Termination phase: Saturation
% 116.39/16.97 % (1719405)Time elapsed: 2.100 s
% 116.39/16.97 % (1719405)Peak memory usage: 14 MB
% 116.39/16.97 % (1719405)Instructions burned: 2819 (million)
% 116.39/16.97 % (1719427)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1692638784:uwa_fpi=on:i=300:bd=all:rtra=on:fe=abstraction:ntd=on_2840 on theBenchmark for (2840ds/300Mi)
% 116.39/16.97 % (1719428)lrs+1010_1024_cnfonf=lazy_not_gen_be_off:si=on:sos=on:rp=on:random_seed=634506320:cts=off:uwa_fpi=on:i=11464:doe=on:piset=equals:bd=preordered:nm=128:fsr=off:rtra=on:ixr=off_2839 on theBenchmark for (2839ds/11464Mi)
% 116.39/16.97 % (1719428)Refutation not found, incomplete strategy
% 116.39/16.97 % (1719428)------------------------------
% 116.39/16.97 % (1719428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.39/16.97 % (1719428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.39/16.97 % (1719428)CaDiCaL version: 2.1.3
% 116.39/16.97 % (1719428)Termination reason: Refutation not found, incomplete strategy
% 116.39/16.97 % (1719428)Time elapsed: 0.004 s
% 116.39/16.97 % (1719428)Peak memory usage: 11 MB
% 116.39/16.97 % (1719428)Instructions burned: 3 (million)
% 116.39/16.97 % (1719428)------------------------------
% 116.39/16.97 % (1719428)------------------------------
% 116.39/16.97 % (1719431)dis+2_28_to=kbo:tgt=ground:plsq=on:plsqc=3:si=on:sp=unary_first:plsqr=32,1:spb=goal_then_units:uwa=off:fd=preordered:nwc=3:random_seed=2449667925:i=11001:add=on:sd=4:fsr=off:rtra=on:ss=included_2839 on theBenchmark for (2839ds/11001Mi)
% 116.39/16.97 % (1719427)Instruction limit reached!
% 116.39/16.97 % (1719427)------------------------------
% 116.39/16.97 % (1719427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.39/16.97 % (1719427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.39/16.97 % (1719427)CaDiCaL version: 2.1.3
% 116.39/16.97 % (1719427)Termination reason: Instruction limit
% 116.39/16.97 % (1719427)Termination phase: Saturation
% 116.39/16.97 % (1719427)Time elapsed: 0.162 s
% 116.39/16.97 % (1719427)Peak memory usage: 13 MB
% 116.39/16.97 % (1719427)Instructions burned: 301 (million)
% 116.39/16.97 % (1719433)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=3424321416:hsq=on:i=662:rtra=on:ixr=off_2838 on theBenchmark for (2838ds/662Mi)
% 116.39/16.97 % (1719391) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1718802-1719391"...
% 116.39/16.97 % (1719433)Instruction limit reached!
% 116.39/16.97 % (1719433)------------------------------
% 116.39/16.97 % (1719433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.39/16.97 % (1719433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.39/16.97 % (1719433)CaDiCaL version: 2.1.3
% 116.39/16.97 % (1719433)Termination reason: Instruction limit
% 116.39/16.97 % (1719433)Termination phase: Saturation
% 116.39/16.97 % (1719433)Time elapsed: 0.355 s
% 116.39/16.97 % (1719433)Peak memory usage: 12 MB
% 116.39/16.97 % (1719433)Instructions burned: 663 (million)
% 116.39/16.97 % (1719435)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=1882233137:i=1714:bd=preordered:nm=32:rtra=on:fdi=1024_2834 on theBenchmark for (2834ds/1714Mi)
% 116.39/16.97 % (1719391)...printing done.
% 116.39/16.97 % (1719391)Refutation found. Thanks to Tanya!
% 116.39/16.97 % SZS status Unsatisfiable for theBenchmark
% 116.39/16.97 % SZS output start Proof for theBenchmark
% See solution above
% 117.40/17.09 % (1719391)------------------------------
% 117.40/17.09 % (1719391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.40/17.09 % (1719391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.40/17.09 % (1719391)CaDiCaL version: 2.1.3
% 117.40/17.09 % (1719391)Termination reason: Refutation
% 117.40/17.09 % (1719391)Time elapsed: 5.130 s
% 117.40/17.09 % (1719391)Peak memory usage: 22 MB
% 117.40/17.09 % (1719391)Instructions burned: 6252 (million)
% 117.40/17.09 % (1718802)Success in time 16.73 s
% 117.40/17.09 % Vampire exiting
%------------------------------------------------------------------------------