%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA147^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:58:51 AM UTC 2026
% Result : Unsatisfiable 37.82s 5.99s
% Output : Refutation 37.82s
% 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] :
( ( X0 = X1 )
| ( r @ X0 @ X1 )
| ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X2 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X0: $i,X4: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X0 @ X4 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X2 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f9,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X3 @ X0 )
| ~ ( r @ X2 @ X0 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X1 ) ),
inference(rectify,[],[f6]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( r @ X1 @ X0 )
| ( b @ X1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f15,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X0 @ X1 )
| ~ ( b @ X4 @ X1 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X3 @ X4 ) ),
inference(rectify,[],[f7]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X4 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X3: $i,X2: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true ) ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X4: $i,X0: $i,X1: $i,X3: $i,X2: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X4 @ X1 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f22,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) ),
inference(rectify,[],[f20]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X4 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X4 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true ) ),
inference(rectify,[],[f21]) ).
thf(f25,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f26,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f27,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f28,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X4 @ X3 )
!= $true )
| ( ( b @ X4 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f30,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f31,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f34,plain,
! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f30,f25]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f30,f25]) ).
thf(f36,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f30,f26]) ).
thf(f39,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f28,f30]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ ( s @ X0 ) @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( b @ X3 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X3 @ z )
!= $true ) ),
inference(constrained_superposition,[],[f29,f34]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ X0 ) ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X3 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f46,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f28,f35]) ).
thf(f47,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f46]) ).
thf(f53,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f26]) ).
thf(f55,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f25]) ).
thf(f56,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f25]) ).
thf(f61,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(constrained_superposition,[],[f42,f55]) ).
thf(f62,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f29,f55]) ).
thf(f63,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f61]) ).
thf(f64,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f62]) ).
thf(f66,definition,
( spl0_1
<=> ( ( r @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f67,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f66]) ).
thf(f69,definition,
( spl0_2
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f70,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f69]) ).
thf(f71,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f63,f69,f66]) ).
thf(f78,definition,
( spl0_3
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f79,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f78]) ).
thf(f81,definition,
( spl0_4
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f82,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_4 ),
inference(avatar_component_clause,[],[f81]) ).
thf(f84,definition,
( spl0_5
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f85,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f87,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_4 ),
inference(constrained_superposition,[],[f82,f34]) ).
thf(f88,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_4 ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f89,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f88,f81,f66]) ).
thf(f90,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f79,f36]) ).
thf(f91,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f90]) ).
thf(f93,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f64,f55]) ).
thf(f94,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f93]) ).
thf(f95,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f94]) ).
thf(f98,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f91,f36]) ).
thf(f99,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f98]) ).
thf(f100,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f99]) ).
thf(f103,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f47,f100]) ).
thf(f104,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f28,f100]) ).
thf(f106,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( z = X0 ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f104]) ).
thf(f107,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f103]) ).
thf(f108,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( z = X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f106,f28]) ).
thf(f110,definition,
( spl0_6
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f111,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f110]) ).
thf(f114,definition,
( spl0_7
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ z ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f115,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f114]) ).
thf(f116,plain,
( spl0_6
| ~ spl0_1
| spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f107,f78,f114,f66,f110]) ).
thf(f125,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f108,f35]) ).
thf(f128,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f125]) ).
thf(f130,definition,
( spl0_8
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f131,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f130]) ).
thf(f133,definition,
( spl0_9
<=> ! [X1: $i] :
( ( r @ z @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f134,plain,
( ! [X1: $i] :
( ( r @ z @ X1 )
!= $true )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f133]) ).
thf(f136,definition,
( spl0_10
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f137,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f136]) ).
thf(f138,plain,
( spl0_8
| spl0_9
| spl0_10
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f128,f78,f136,f133,f130]) ).
thf(f140,definition,
( spl0_11
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f141,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f140]) ).
thf(f142,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f95,f78,f140]) ).
thf(f143,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f28,f67]) ).
thf(f144,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f143]) ).
thf(f148,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f144,f30]) ).
thf(f149,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f148]) ).
thf(f157,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f29,f56]) ).
thf(f160,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f157]) ).
thf(f161,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_10 ),
inference(avatar_component_clause,[],[f136]) ).
thf(f179,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X2 ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ X2 ) )
= $true )
| ( ( r @ z @ X0 )
!= $true ) ),
inference(extensionality_resolution,[],[f40,f25]) ).
thf(f182,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( $true != $true )
| ( X2 = X3 )
| ( ( b @ X3 @ X2 )
= $true )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f40,f30]) ).
thf(f184,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( X0 = X1 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f40,f67]) ).
thf(f185,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ X0 )
!= $true )
| ( X0 = X1 )
| ( X2 = X3 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X3 @ X2 )
= $true )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f182]) ).
thf(f187,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f184]) ).
thf(f194,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X1 ) @ z )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) )
| ~ spl0_1 ),
inference(extensionality_resolution,[],[f187,f26]) ).
thf(f275,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X3 )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( ( b @ X1 @ X2 )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ X3 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X2 ) ),
inference(constrained_superposition,[],[f185,f30]) ).
thf(f279,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( X0 = X3 )
| ( ( b @ X0 @ X3 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X2 )
| ( ( b @ X1 @ X2 )
= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f275]) ).
thf(f285,definition,
( spl0_14
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f286,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f285]) ).
thf(f288,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_10
| ~ spl0_14 ),
inference(constrained_superposition,[],[f161,f286]) ).
thf(f294,plain,
( ( z
= ( s @ z ) )
| spl0_10
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f288]) ).
thf(f296,plain,
( $false
| spl0_10
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f294,f25]) ).
thf(f297,plain,
( spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f296]) ).
thf(f314,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_1 ),
inference(extensionality_resolution,[],[f194,f25]) ).
thf(f318,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ X1 ) @ z )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f194,f35]) ).
thf(f321,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f318]) ).
thf(f323,definition,
( spl0_15
<=> ( ( r @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f324,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| spl0_15 ),
inference(avatar_component_clause,[],[f323]) ).
thf(f331,definition,
( spl0_17
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f332,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f331]) ).
thf(f333,plain,
( spl0_17
| ~ spl0_15
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f314,f66,f323,f331]) ).
thf(f348,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f332,f35]) ).
thf(f350,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f348]) ).
thf(f377,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f29,f350]) ).
thf(f382,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f377]) ).
thf(f402,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f382,f350]) ).
thf(f411,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f402]) ).
thf(f412,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f411]) ).
thf(f417,definition,
( spl0_18
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f418,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f417]) ).
thf(f419,plain,
( spl0_18
| spl0_3
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f412,f331,f78,f417]) ).
thf(f433,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f29,f137]) ).
thf(f434,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f433]) ).
thf(f449,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f434,f137]) ).
thf(f454,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f449]) ).
thf(f455,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f454]) ).
thf(f467,definition,
( spl0_22
<=> ! [X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f468,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f467]) ).
thf(f470,definition,
( spl0_23
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f471,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f470]) ).
thf(f472,plain,
( spl0_22
| spl0_23
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f455,f136,f470,f467]) ).
thf(f474,definition,
( spl0_24
<=> ! [X2: $i] :
( ( z = X2 )
| ( ( b @ X2 @ z )
= $true )
| ( ( s @ z )
= X2 )
| ( $true
= ( b @ X2 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f475,plain,
( ! [X2: $i] :
( ( $true
= ( b @ X2 @ ( s @ z ) ) )
| ( z = X2 )
| ( ( s @ z )
= X2 )
| ( ( b @ X2 @ z )
= $true ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f474]) ).
thf(f485,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f468,f55]) ).
thf(f489,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f485]) ).
thf(f490,plain,
( spl0_5
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f489,f467,f84]) ).
thf(f511,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f29,f286]) ).
thf(f520,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f511]) ).
thf(f538,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_14 ),
inference(constrained_superposition,[],[f520,f137]) ).
thf(f544,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( s @ z )
= X1 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_10
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f538]) ).
thf(f554,definition,
( spl0_26
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f555,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f554]) ).
thf(f576,plain,
( spl0_26
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f544,f285,f136,f554]) ).
thf(f662,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( b @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( X0 = X1 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f321,f35]) ).
thf(f664,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f662]) ).
thf(f668,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(extensionality_resolution,[],[f664,f25]) ).
thf(f700,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f53,f25]) ).
thf(f726,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ X3 )
= $true )
| ( ( b @ X2 @ X1 )
= $true )
| ( X1 = X3 )
| ( $true
= ( b @ X2 @ X0 ) )
| ( X0 = X2 )
| ( X1 = X2 )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f279,f30]) ).
thf(f731,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X2 @ X0 ) )
| ( X0 = X2 )
| ( ( b @ X2 @ X1 )
= $true )
| ( X1 = X2 )
| ( X0 = X1 )
| ( X1 = X3 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X1 @ X3 )
= $true ) ),
inference(trivial_inequality_removal,[],[f726]) ).
thf(f733,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( z = X1 )
| ( $true != $true )
| ( X1 = X2 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
= ( b @ z @ X1 ) )
| ( ( b @ X1 @ X2 )
= $true )
| ( X0 = X1 )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f471,f731]) ).
thf(f768,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X1 )
| ( X0 = X1 )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( $true
= ( b @ z @ X1 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( z = X0 )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f733]) ).
thf(f781,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ z @ X1 ) )
| ( z = X0 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( z = X1 )
| ( X1 = X2 )
| ( ( b @ X1 @ X2 )
= $true ) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f768,f731]) ).
thf(f784,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( $true
= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( z
= ( s @ z ) )
| ( $true != $true ) )
| spl0_4
| ~ spl0_23 ),
inference(constrained_superposition,[],[f82,f781]) ).
thf(f804,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( ( s @ z )
= X1 ) )
| spl0_4
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f784]) ).
thf(f814,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f179,f700]) ).
thf(f820,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f28,f700]) ).
thf(f823,plain,
! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f814]) ).
thf(f825,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f820]) ).
thf(f832,definition,
( spl0_28
<=> ! [X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f833,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f832]) ).
thf(f836,definition,
( spl0_29
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f837,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f836]) ).
thf(f839,definition,
( spl0_30
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f840,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f839]) ).
thf(f842,definition,
( spl0_31
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f843,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_31 ),
inference(avatar_component_clause,[],[f842]) ).
thf(f844,plain,
( spl0_29
| spl0_30
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f823,f842,f839,f836]) ).
thf(f850,definition,
( spl0_33
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f851,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f850]) ).
thf(f853,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_31 ),
inference(constrained_superposition,[],[f843,f30]) ).
thf(f854,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_31 ),
inference(trivial_inequality_removal,[],[f853]) ).
thf(f855,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_31 ),
inference(forward_subsumption_resolution,[],[f854,f25]) ).
thf(f876,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f825,f35]) ).
thf(f880,plain,
! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f876]) ).
thf(f884,definition,
( spl0_34
<=> ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f885,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_34 ),
inference(avatar_component_clause,[],[f884]) ).
thf(f886,plain,
( ~ spl0_34
| spl0_9
| spl0_33 ),
inference(avatar_split_clause,[],[f880,f850,f133,f884]) ).
thf(f887,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_34 ),
inference(constrained_superposition,[],[f885,f35]) ).
thf(f889,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_34 ),
inference(trivial_inequality_removal,[],[f887]) ).
thf(f895,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_23
| spl0_34 ),
inference(constrained_superposition,[],[f471,f889]) ).
thf(f897,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_23
| spl0_34 ),
inference(trivial_inequality_removal,[],[f895]) ).
thf(f903,plain,
( $false
| ~ spl0_23
| spl0_31
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f897,f855]) ).
thf(f904,plain,
( ~ spl0_23
| spl0_31
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f903]) ).
thf(f906,definition,
( spl0_35
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f907,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f906]) ).
thf(f909,definition,
( spl0_36
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f910,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f909]) ).
thf(f912,plain,
( ( $true != $true )
| ~ spl0_1
| ~ spl0_9 ),
inference(constrained_superposition,[],[f134,f67]) ).
thf(f914,plain,
( $false
| ~ spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f912]) ).
thf(f915,plain,
( ~ spl0_1
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f914]) ).
thf(f945,definition,
( spl0_37
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f946,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f945]) ).
thf(f952,definition,
( spl0_39
<=> ! [X2: $i] :
( ( ( s @ ( s @ z ) )
= X2 )
| ( ( b @ X2 @ z )
= $true )
| ( z = X2 )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f953,plain,
( ! [X2: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X2 )
| ( ( s @ ( s @ z ) )
= X2 )
| ( ( b @ X2 @ z )
= $true ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f952]) ).
thf(f957,definition,
( spl0_40
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f958,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f957]) ).
thf(f960,definition,
( spl0_41
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f961,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f960]) ).
thf(f964,definition,
( spl0_42
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f965,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f964]) ).
thf(f975,definition,
( spl0_44
<=> ( ( s @ ( s @ z ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f976,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f975]) ).
thf(f983,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f840,f35]) ).
thf(f984,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f840,f30]) ).
thf(f985,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f983]) ).
thf(f986,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f984]) ).
thf(f987,plain,
( spl0_40
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f985,f839,f957]) ).
thf(f988,plain,
( spl0_28
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f986,f839,f832]) ).
thf(f999,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f29,f837]) ).
thf(f1004,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f999]) ).
thf(f1024,definition,
( spl0_48
<=> ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f1025,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_48 ),
inference(avatar_component_clause,[],[f1024]) ).
thf(f1027,definition,
( spl0_49
<=> ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f1028,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f1027]) ).
thf(f1037,definition,
( spl0_52
<=> ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
thf(f1038,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f1037]) ).
thf(f1043,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f842]) ).
thf(f1047,definition,
( spl0_54
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f1048,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f1047]) ).
thf(f1057,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_48 ),
inference(constrained_superposition,[],[f1025,f34]) ).
thf(f1061,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_48 ),
inference(trivial_inequality_removal,[],[f1057]) ).
thf(f1064,plain,
( spl0_31
| spl0_48 ),
inference(avatar_split_clause,[],[f1061,f1024,f842]) ).
thf(f1080,definition,
( spl0_56
<=> ! [X1: $i] :
( ( z = X1 )
| ( $true
= ( b @ z @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f1081,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ z @ X1 ) )
| ( z = X1 ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f1080]) ).
thf(f1084,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f179,f965]) ).
thf(f1093,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f1084]) ).
thf(f1099,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_42
| spl0_48 ),
inference(forward_subsumption_resolution,[],[f1093,f1025]) ).
thf(f1101,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ X0 )
!= $true )
| ~ spl0_1
| ~ spl0_42
| spl0_48 ),
inference(forward_subsumption_resolution,[],[f1099,f67]) ).
thf(f1102,plain,
( spl0_7
| ~ spl0_1
| ~ spl0_42
| spl0_48 ),
inference(avatar_split_clause,[],[f1101,f1024,f964,f66,f114]) ).
thf(f1104,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f115,f30]) ).
thf(f1105,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f1104]) ).
thf(f1173,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f1004,f837]) ).
thf(f1179,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_29 ),
inference(duplicate_literal_removal,[],[f1173]) ).
thf(f1180,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1179]) ).
thf(f1191,definition,
( spl0_57
<=> ! [X2: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f1192,plain,
( ! [X2: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f1191]) ).
thf(f1194,definition,
( spl0_58
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f1195,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f1194]) ).
thf(f1196,plain,
( spl0_57
| spl0_58
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1180,f836,f1194,f1191]) ).
thf(f1206,definition,
( spl0_60
<=> ! [X2: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
thf(f1207,plain,
( ! [X2: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f1206]) ).
thf(f1222,plain,
( ( $true != $true )
| ~ spl0_30
| ~ spl0_42 ),
inference(constrained_superposition,[],[f840,f965]) ).
thf(f1226,plain,
( $false
| ~ spl0_30
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f1222]) ).
thf(f1227,plain,
( ~ spl0_30
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1226]) ).
thf(f1228,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f160,f958]) ).
thf(f1231,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_40 ),
inference(constrained_superposition,[],[f471,f958]) ).
thf(f1234,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f1231]) ).
thf(f1237,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f1228]) ).
thf(f1239,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1237,f115]) ).
thf(f1240,plain,
( spl0_36
| ~ spl0_7
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1239,f957,f114,f909]) ).
thf(f1503,definition,
( spl0_66
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f1504,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_66 ),
inference(avatar_component_clause,[],[f1503]) ).
thf(f1506,definition,
( spl0_67
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
thf(f1507,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f1506]) ).
thf(f1523,definition,
( spl0_70
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
thf(f1524,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f1523]) ).
thf(f1532,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_66 ),
inference(constrained_superposition,[],[f1504,f36]) ).
thf(f1535,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_28
| spl0_66 ),
inference(constrained_superposition,[],[f1504,f833]) ).
thf(f1539,plain,
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_66 ),
inference(trivial_inequality_removal,[],[f1532]) ).
thf(f1542,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_28
| spl0_66 ),
inference(trivial_inequality_removal,[],[f1535]) ).
thf(f1546,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f1539,f25]) ).
thf(f1547,plain,
( spl0_44
| ~ spl0_28
| spl0_66 ),
inference(avatar_split_clause,[],[f1542,f1503,f832,f975]) ).
thf(f1550,plain,
( $false
| ~ spl0_30
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f1546,f840]) ).
thf(f1551,plain,
( ~ spl0_30
| spl0_66 ),
inference(avatar_contradiction_clause,[],[f1550]) ).
thf(f1558,plain,
( ~ spl0_48
| ~ spl0_23
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1234,f957,f470,f1024]) ).
thf(f1575,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_44 ),
inference(constrained_superposition,[],[f56,f976]) ).
thf(f1635,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_40 ),
inference(avatar_component_clause,[],[f957]) ).
thf(f1640,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1575,f31]) ).
thf(f1651,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1640,f27]) ).
thf(f1652,plain,
~ spl0_44,
inference(avatar_contradiction_clause,[],[f1651]) ).
thf(f1655,definition,
( spl0_75
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
thf(f1656,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_75 ),
inference(avatar_component_clause,[],[f1655]) ).
thf(f1682,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_24
| ~ spl0_60 ),
inference(constrained_superposition,[],[f1207,f475]) ).
thf(f1686,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_24
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f1682]) ).
thf(f1693,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_24
| spl0_40
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f1686,f1635]) ).
thf(f1696,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_10
| ~ spl0_24
| spl0_40
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f1693,f137]) ).
thf(f1699,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_10
| ~ spl0_24
| spl0_40
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f1696,f25]) ).
thf(f1700,plain,
( spl0_44
| ~ spl0_10
| ~ spl0_24
| spl0_40
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1699,f1206,f957,f474,f136,f975]) ).
thf(f1894,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f28,f1043]) ).
thf(f1896,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f1894]) ).
thf(f1996,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( b @ z @ X0 )
= $true ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f1081,f30]) ).
thf(f1999,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( b @ z @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f1996]) ).
thf(f2176,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
= $true )
| ( z = X0 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_11
| ~ spl0_56 ),
inference(constrained_superposition,[],[f141,f1999]) ).
thf(f2196,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_11
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f2176]) ).
thf(f2214,definition,
( spl0_86
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
thf(f2215,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f2214]) ).
thf(f2297,definition,
( spl0_91
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
thf(f2298,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f2297]) ).
thf(f2301,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f1024]) ).
thf(f2313,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f29,f2301]) ).
thf(f2318,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f2313]) ).
thf(f2396,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f2318,f55]) ).
thf(f2410,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f2396]) ).
thf(f2503,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_75 ),
inference(constrained_superposition,[],[f1656,f36]) ).
thf(f2507,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_14
| spl0_75 ),
inference(constrained_superposition,[],[f1656,f286]) ).
thf(f2513,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| spl0_75 ),
inference(trivial_inequality_removal,[],[f2503]) ).
thf(f2517,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_14
| spl0_75 ),
inference(trivial_inequality_removal,[],[f2507]) ).
thf(f2522,plain,
( ( z
= ( s @ z ) )
| ~ spl0_7
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f2513,f115]) ).
thf(f2527,plain,
( spl0_44
| ~ spl0_14
| spl0_75 ),
inference(avatar_split_clause,[],[f2517,f1655,f285,f975]) ).
thf(f2529,plain,
( $false
| ~ spl0_7
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f2522,f25]) ).
thf(f2530,plain,
( ~ spl0_7
| spl0_75 ),
inference(avatar_contradiction_clause,[],[f2529]) ).
thf(f2538,definition,
( spl0_96
<=> ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
thf(f2539,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f2538]) ).
thf(f2541,plain,
( spl0_14
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1105,f114,f285]) ).
thf(f2543,definition,
( spl0_97
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
thf(f2544,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f2543]) ).
thf(f2546,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| spl0_4
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f804,f25]) ).
thf(f2547,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f1655]) ).
thf(f2550,definition,
( spl0_98
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
thf(f2551,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f2550]) ).
thf(f2552,plain,
( spl0_14
| spl0_98
| spl0_4
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f2546,f470,f81,f2550,f285]) ).
thf(f2763,definition,
( spl0_101
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
thf(f2764,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f2763]) ).
thf(f2866,definition,
( spl0_105
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
thf(f2869,definition,
( spl0_106
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
thf(f2870,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f2869]) ).
thf(f2885,plain,
( spl0_41
| spl0_42
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f2410,f1024,f964,f960]) ).
thf(f2888,plain,
( spl0_86
| spl0_42
| ~ spl0_11
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f2196,f1080,f140,f964,f2214]) ).
thf(f2897,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_35 ),
inference(constrained_superposition,[],[f144,f907]) ).
thf(f2898,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f179,f907]) ).
thf(f2905,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f2898]) ).
thf(f2908,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f2897]) ).
thf(f2913,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_31
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f2905,f1043]) ).
thf(f2915,definition,
( spl0_108
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
thf(f2916,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X1 )
| ( ( b @ ( s @ z ) @ X1 )
= $true ) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f2915]) ).
thf(f2918,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_1
| ~ spl0_31
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f2908,f1043]) ).
thf(f2921,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| spl0_4
| ~ spl0_31
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f2913,f82]) ).
thf(f2922,plain,
( spl0_30
| ~ spl0_1
| ~ spl0_31
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f2918,f906,f842,f66,f839]) ).
thf(f2925,plain,
( spl0_30
| spl0_4
| ~ spl0_31
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f2921,f906,f842,f81,f839]) ).
thf(f2983,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f29,f286]) ).
thf(f3004,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f2983]) ).
thf(f3037,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_75 ),
inference(constrained_superposition,[],[f3004,f2547]) ).
thf(f3045,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_14
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f3037]) ).
thf(f3059,definition,
( spl0_109
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
thf(f3060,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f3059]) ).
thf(f3062,plain,
( spl0_109
| ~ spl0_14
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f3045,f1655,f285,f3059]) ).
thf(f3063,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f3060,f34]) ).
thf(f3084,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f3063]) ).
thf(f3113,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_28
| spl0_40 ),
inference(constrained_superposition,[],[f1635,f833]) ).
thf(f3121,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_11
| ~ spl0_28 ),
inference(constrained_superposition,[],[f141,f833]) ).
thf(f3130,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_11
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f3121]) ).
thf(f3132,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_28
| spl0_40 ),
inference(trivial_inequality_removal,[],[f3113]) ).
thf(f3144,plain,
( ~ spl0_66
| spl0_67
| ~ spl0_11
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f3130,f832,f140,f1506,f1503]) ).
thf(f3145,plain,
( $false
| ~ spl0_28
| spl0_40 ),
inference(forward_subsumption_resolution,[],[f3132,f25]) ).
thf(f3146,plain,
( ~ spl0_28
| spl0_40 ),
inference(avatar_contradiction_clause,[],[f3145]) ).
thf(f3236,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f29,f958]) ).
thf(f3241,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f3236]) ).
thf(f3467,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_42 ),
inference(avatar_component_clause,[],[f964]) ).
thf(f3473,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1503]) ).
thf(f3484,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f29,f3473]) ).
thf(f3497,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f3484]) ).
thf(f3499,definition,
( spl0_132
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
thf(f3500,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f3499]) ).
thf(f3503,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f3500,f34]) ).
thf(f3526,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f3503]) ).
thf(f3546,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f3497,f3473]) ).
thf(f3556,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_66 ),
inference(duplicate_literal_removal,[],[f3546]) ).
thf(f3557,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f3556]) ).
thf(f3566,definition,
( spl0_133
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
thf(f3567,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f3566]) ).
thf(f3568,plain,
( spl0_133
| spl0_3
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f3557,f1503,f78,f3566]) ).
thf(f3762,definition,
( spl0_135
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
thf(f3763,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f3762]) ).
thf(f3765,definition,
( spl0_136
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
thf(f3766,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f3765]) ).
thf(f3807,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f1192,f55]) ).
thf(f3810,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f3807]) ).
thf(f3822,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_57
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f3810,f2547]) ).
thf(f3830,plain,
( spl0_42
| ~ spl0_57
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f3822,f1655,f1191,f964]) ).
thf(f3906,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_67 ),
inference(constrained_superposition,[],[f47,f1507]) ).
thf(f3921,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f3906]) ).
thf(f4021,definition,
( spl0_140
<=> ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
thf(f4022,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f4021]) ).
thf(f4167,definition,
( spl0_143
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X3 @ z )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f4168,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X3 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f4167]) ).
thf(f4350,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ z ) )
| spl0_44 ),
inference(avatar_component_clause,[],[f975]) ).
thf(f4375,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| spl0_44 ),
inference(extensionality_resolution,[],[f664,f4350]) ).
thf(f4376,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_44 ),
inference(extensionality_resolution,[],[f321,f4350]) ).
thf(f4379,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_1
| spl0_44 ),
inference(extensionality_resolution,[],[f194,f4350]) ).
thf(f4382,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_44 ),
inference(extensionality_resolution,[],[f40,f4350]) ).
thf(f4383,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| spl0_44 ),
inference(extensionality_resolution,[],[f40,f4350]) ).
thf(f4389,definition,
( spl0_149
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
thf(f4390,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f4389]) ).
thf(f4392,definition,
( spl0_150
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
thf(f4393,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_150 ),
inference(avatar_component_clause,[],[f4392]) ).
thf(f4396,definition,
( spl0_151
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
thf(f4397,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f4396]) ).
thf(f4399,definition,
( spl0_152
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
thf(f4400,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f4399]) ).
thf(f4403,definition,
( spl0_153
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
thf(f4404,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f4403]) ).
thf(f4406,definition,
( spl0_154
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
thf(f4407,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f4406]) ).
thf(f4410,definition,
( spl0_155
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
thf(f4411,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f4410]) ).
thf(f4412,plain,
( ~ spl0_150
| spl0_155
| ~ spl0_34
| ~ spl0_1
| spl0_44 ),
inference(avatar_split_clause,[],[f4379,f975,f66,f884,f4410,f4392]) ).
thf(f4413,plain,
( spl0_136
| ~ spl0_34
| spl0_149
| ~ spl0_1
| spl0_44 ),
inference(avatar_split_clause,[],[f4376,f975,f66,f4389,f884,f3765]) ).
thf(f4415,definition,
( spl0_156
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
thf(f4416,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f4415]) ).
thf(f4528,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f700,f3763]) ).
thf(f4589,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f4528,f31]) ).
thf(f4601,plain,
( $false
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f4589,f27]) ).
thf(f4602,plain,
~ spl0_135,
inference(avatar_contradiction_clause,[],[f4601]) ).
thf(f4616,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_133
| ~ spl0_149 ),
inference(constrained_superposition,[],[f3567,f4390]) ).
thf(f4634,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_133
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f4616]) ).
thf(f4640,definition,
( spl0_160
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
thf(f4641,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_160 ),
inference(avatar_component_clause,[],[f4640]) ).
thf(f4644,definition,
( spl0_161
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
thf(f4645,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f4644]) ).
thf(f4648,definition,
( spl0_162
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
thf(f4649,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f4648]) ).
thf(f4656,plain,
( ~ spl0_160
| ~ spl0_133
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f4634,f4389,f3566,f4640]) ).
thf(f4661,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_160 ),
inference(constrained_superposition,[],[f4641,f55]) ).
thf(f4669,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_160 ),
inference(trivial_inequality_removal,[],[f4661]) ).
thf(f4674,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| spl0_160 ),
inference(constrained_superposition,[],[f825,f4669]) ).
thf(f4676,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_160 ),
inference(constrained_superposition,[],[f179,f4669]) ).
thf(f4684,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| spl0_160 ),
inference(trivial_inequality_removal,[],[f4674]) ).
thf(f4690,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| spl0_160 ),
inference(trivial_inequality_removal,[],[f4676]) ).
thf(f4692,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_57
| ~ spl0_155 ),
inference(constrained_superposition,[],[f1192,f4411]) ).
thf(f4710,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_57
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f4692]) ).
thf(f4721,definition,
( spl0_165
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
thf(f4722,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f4721]) ).
thf(f4724,definition,
( spl0_166
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
thf(f4725,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f4724]) ).
thf(f4727,plain,
( $false
| ~ spl0_57
| ~ spl0_149
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f4710,f4390]) ).
thf(f4728,plain,
( ~ spl0_57
| ~ spl0_149
| ~ spl0_155 ),
inference(avatar_contradiction_clause,[],[f4727]) ).
thf(f4730,definition,
( spl0_167
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
thf(f4731,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f4730]) ).
thf(f4736,definition,
( spl0_168
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
thf(f4737,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f4736]) ).
thf(f4739,definition,
( spl0_169
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).
thf(f4740,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f4739]) ).
thf(f4742,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_150 ),
inference(constrained_superposition,[],[f4393,f35]) ).
thf(f4745,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_150 ),
inference(trivial_inequality_removal,[],[f4742]) ).
thf(f4747,plain,
( spl0_136
| spl0_150 ),
inference(avatar_split_clause,[],[f4745,f4392,f3765]) ).
thf(f4748,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_34 ),
inference(constrained_superposition,[],[f885,f35]) ).
thf(f4750,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_34 ),
inference(trivial_inequality_removal,[],[f4748]) ).
thf(f4752,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_31
| ~ spl0_156 ),
inference(constrained_superposition,[],[f1896,f4416]) ).
thf(f4753,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f179,f4416]) ).
thf(f4763,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_31
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f4752]) ).
thf(f4767,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f4753]) ).
thf(f4769,definition,
( spl0_170
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
thf(f4770,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f4769]) ).
thf(f4775,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_169 ),
inference(avatar_component_clause,[],[f4739]) ).
thf(f4777,definition,
( spl0_172
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
thf(f4778,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f4777]) ).
thf(f4779,plain,
( ~ spl0_169
| spl0_172
| ~ spl0_31
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f4763,f4415,f842,f4777,f4739]) ).
thf(f4784,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| spl0_48
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f4767,f1025]) ).
thf(f4785,plain,
( spl0_172
| ~ spl0_169
| spl0_48
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f4784,f4415,f1024,f4739,f4777]) ).
thf(f4786,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_57
| ~ spl0_155 ),
inference(constrained_superposition,[],[f1192,f4411]) ).
thf(f4789,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) )
| ~ spl0_70
| ~ spl0_155 ),
inference(constrained_superposition,[],[f1524,f4411]) ).
thf(f4791,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_40
| ~ spl0_155 ),
inference(constrained_superposition,[],[f3241,f4411]) ).
thf(f4794,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_155 ),
inference(constrained_superposition,[],[f70,f4411]) ).
thf(f4797,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_155 ),
inference(constrained_superposition,[],[f141,f4411]) ).
thf(f4800,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_57
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f4786]) ).
thf(f4805,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_70
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f4789]) ).
thf(f4807,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_40
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f4791]) ).
thf(f4809,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f4797]) ).
thf(f4811,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f4794]) ).
thf(f4814,plain,
( spl0_166
| spl0_165
| ~ spl0_70
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f4805,f4410,f1523,f4721,f4724]) ).
thf(f4815,plain,
( spl0_106
| spl0_167
| ~ spl0_40
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f4807,f4410,f957,f4730,f2869]) ).
thf(f4819,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_57
| ~ spl0_155 ),
inference(constrained_superposition,[],[f4800,f53]) ).
thf(f4823,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_56
| ~ spl0_57
| ~ spl0_155 ),
inference(constrained_superposition,[],[f4800,f1999]) ).
thf(f4824,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_39
| ~ spl0_57
| ~ spl0_155 ),
inference(constrained_superposition,[],[f4800,f953]) ).
thf(f4828,plain,
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_57
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f4819]) ).
thf(f4832,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_39
| ~ spl0_57
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f4824]) ).
thf(f4836,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_56
| ~ spl0_57
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f4823]) ).
thf(f4837,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_57
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f4828,f25]) ).
thf(f4839,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_39
| ~ spl0_57
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f4832,f25]) ).
thf(f4845,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_56
| ~ spl0_57
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f4836,f25]) ).
thf(f4847,plain,
( spl0_135
| spl0_136
| ~ spl0_39
| ~ spl0_57
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f4839,f4410,f1191,f952,f3765,f3762]) ).
thf(f4858,plain,
( spl0_40
| spl0_34 ),
inference(avatar_split_clause,[],[f4750,f884,f957]) ).
thf(f4871,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| spl0_44
| ~ spl0_57
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f4375,f4800]) ).
thf(f4879,definition,
( spl0_179
<=> ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
thf(f4880,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f4879]) ).
thf(f4881,plain,
( spl0_135
| spl0_179
| ~ spl0_56
| ~ spl0_57
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f4845,f4410,f1191,f1080,f4879,f3762]) ).
thf(f4890,plain,
( spl0_40
| spl0_136
| ~ spl0_1
| spl0_44
| ~ spl0_57
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f4871,f4410,f1191,f975,f66,f3765,f957]) ).
thf(f4907,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_40
| ~ spl0_57 ),
inference(constrained_superposition,[],[f1192,f958]) ).
thf(f4919,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_40
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f4907]) ).
thf(f4922,plain,
( ~ spl0_48
| ~ spl0_40
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f4919,f1191,f957,f1024]) ).
thf(f5069,definition,
( spl0_185
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
thf(f5070,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f5069]) ).
thf(f5073,definition,
( spl0_186
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f5074,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f5073]) ).
thf(f5077,definition,
( spl0_187
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
thf(f5078,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f5077]) ).
thf(f5110,definition,
( spl0_190
<=> ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f5111,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f5110]) ).
thf(f5119,definition,
( spl0_192
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f5120,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_192 ),
inference(avatar_component_clause,[],[f5119]) ).
thf(f5122,definition,
( spl0_193
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
thf(f5123,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f5122]) ).
thf(f5128,definition,
( spl0_194
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f5129,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f5128]) ).
thf(f5131,definition,
( spl0_195
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
thf(f5132,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f5131]) ).
thf(f5137,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f700,f5129]) ).
thf(f5195,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f5137,f27]) ).
thf(f5197,plain,
( $false
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f5195,f31]) ).
thf(f5198,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f5197]) ).
thf(f5199,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f5123,f35]) ).
thf(f5200,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f5123,f700]) ).
thf(f5201,plain,
( ( $true != $true )
| ~ spl0_152
| ~ spl0_193 ),
inference(constrained_superposition,[],[f5123,f4400]) ).
thf(f5202,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_67
| ~ spl0_193 ),
inference(constrained_superposition,[],[f5123,f1507]) ).
thf(f5204,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f5123,f30]) ).
thf(f5205,plain,
( $false
| ~ spl0_152
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f5201]) ).
thf(f5206,plain,
( ~ spl0_152
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[],[f5205]) ).
thf(f5207,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_67
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f5202]) ).
thf(f5208,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f5204]) ).
thf(f5209,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f5200]) ).
thf(f5211,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f5199]) ).
thf(f5212,plain,
( spl0_194
| ~ spl0_67
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f5207,f5122,f1506,f5128]) ).
thf(f5213,plain,
( spl0_190
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f5208,f5122,f5110]) ).
thf(f5214,plain,
( spl0_187
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f5209,f5122,f5077]) ).
thf(f5216,plain,
( spl0_185
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f5211,f5122,f5069]) ).
thf(f5221,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_57
| ~ spl0_195 ),
inference(constrained_superposition,[],[f1192,f5132]) ).
thf(f5236,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_57
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f5221]) ).
thf(f5243,definition,
( spl0_196
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
thf(f5244,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f5243]) ).
thf(f5246,definition,
( spl0_197
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
thf(f5247,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f5246]) ).
thf(f5252,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_56
| ~ spl0_57
| ~ spl0_195 ),
inference(constrained_superposition,[],[f5236,f1999]) ).
thf(f5253,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_39
| ~ spl0_57
| ~ spl0_195 ),
inference(constrained_superposition,[],[f5236,f953]) ).
thf(f5255,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_39
| ~ spl0_57
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f5253]) ).
thf(f5257,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56
| ~ spl0_57
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f5252]) ).
thf(f5261,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39
| ~ spl0_57
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f5255,f25]) ).
thf(f5266,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_56
| ~ spl0_57
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f5257,f25]) ).
thf(f5269,definition,
( spl0_199
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
thf(f5270,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f5269]) ).
thf(f5272,plain,
( spl0_185
| spl0_194
| ~ spl0_39
| ~ spl0_57
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f5261,f5131,f1191,f952,f5128,f5069]) ).
thf(f5273,plain,
( spl0_194
| spl0_186
| ~ spl0_56
| ~ spl0_57
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f5266,f5131,f1191,f1080,f5073,f5128]) ).
thf(f5342,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_5
| ~ spl0_40 ),
inference(constrained_superposition,[],[f85,f958]) ).
thf(f5350,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_5
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f5342]) ).
thf(f5437,definition,
( spl0_202
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
thf(f5438,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_202 ),
inference(avatar_component_clause,[],[f5437]) ).
thf(f5440,definition,
( spl0_203
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f5441,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f5440]) ).
thf(f5444,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_202 ),
inference(constrained_superposition,[],[f5438,f55]) ).
thf(f5451,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_202 ),
inference(trivial_inequality_removal,[],[f5444]) ).
thf(f5487,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_106
| ~ spl0_155 ),
inference(constrained_superposition,[],[f2870,f4411]) ).
thf(f5488,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_106
| ~ spl0_151 ),
inference(constrained_superposition,[],[f2870,f4397]) ).
thf(f5496,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_106
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f5487]) ).
thf(f5497,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_106
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f5488]) ).
thf(f5506,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_106
| ~ spl0_151 ),
inference(constrained_superposition,[],[f5497,f34]) ).
thf(f5509,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_106
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f5506]) ).
thf(f5511,plain,
( spl0_197
| ~ spl0_106
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f5509,f4396,f2869,f5246]) ).
thf(f5516,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f28,f5247]) ).
thf(f5518,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f5516]) ).
thf(f5530,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_154
| ~ spl0_165 ),
inference(constrained_superposition,[],[f4722,f4407]) ).
thf(f5547,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_154
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f5530]) ).
thf(f5551,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_185 ),
inference(avatar_component_clause,[],[f5069]) ).
thf(f5553,definition,
( spl0_206
<=> ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).
thf(f5554,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f5553]) ).
thf(f5556,plain,
( ~ spl0_185
| ~ spl0_154
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f5547,f4721,f4406,f5069]) ).
thf(f5610,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_202 ),
inference(constrained_superposition,[],[f179,f5451]) ).
thf(f5620,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| spl0_202 ),
inference(trivial_inequality_removal,[],[f5610]) ).
thf(f5627,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_197
| spl0_202 ),
inference(constrained_superposition,[],[f5518,f5451]) ).
thf(f5632,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_197
| spl0_202 ),
inference(trivial_inequality_removal,[],[f5627]) ).
thf(f5671,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_136
| ~ spl0_168 ),
inference(constrained_superposition,[],[f4737,f3766]) ).
thf(f5695,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_136
| ~ spl0_168 ),
inference(duplicate_literal_removal,[],[f5671]) ).
thf(f5696,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_136
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f5695]) ).
thf(f5710,definition,
( spl0_207
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f5711,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f5710]) ).
thf(f5717,definition,
( spl0_209
<=> ! [X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X1 )
| ( ( b @ X1 @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f5718,plain,
( ! [X1: $i] :
( ( $true
= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X1 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( ( b @ X1 @ z )
= $true ) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f5717]) ).
thf(f5721,plain,
( spl0_207
| ~ spl0_136
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f5696,f4736,f3765,f5710]) ).
thf(f5738,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_155
| ~ spl0_207 ),
inference(constrained_superposition,[],[f5711,f4411]) ).
thf(f5748,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_155
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f5738]) ).
thf(f5749,plain,
( $false
| ~ spl0_155
| ~ spl0_179
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[],[f5748,f4880]) ).
thf(f5750,plain,
( ~ spl0_155
| ~ spl0_179
| ~ spl0_207 ),
inference(avatar_contradiction_clause,[],[f5749]) ).
thf(f5757,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_169 ),
inference(constrained_superposition,[],[f28,f4740]) ).
thf(f5760,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f5757]) ).
thf(f5769,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_57
| ~ spl0_155
| ~ spl0_169 ),
inference(constrained_superposition,[],[f5760,f4837]) ).
thf(f5781,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_57
| ~ spl0_155
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f5769]) ).
thf(f5783,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_31
| ~ spl0_57
| ~ spl0_155
| ~ spl0_169 ),
inference(forward_subsumption_resolution,[],[f5781,f1043]) ).
thf(f5785,plain,
( spl0_30
| ~ spl0_31
| ~ spl0_57
| ~ spl0_155
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f5783,f4739,f4410,f1191,f842,f839]) ).
thf(f5788,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ X0 )
!= $true )
| ~ spl0_1
| ~ spl0_197
| spl0_202 ),
inference(forward_subsumption_resolution,[],[f5632,f67]) ).
thf(f5790,definition,
( spl0_211
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).
thf(f5791,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f5790]) ).
thf(f5811,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f3921,f67]) ).
thf(f5812,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_1
| spl0_160 ),
inference(forward_subsumption_resolution,[],[f4690,f67]) ).
thf(f5814,definition,
( spl0_216
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
thf(f5815,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f5814]) ).
thf(f5816,plain,
( spl0_66
| spl0_216
| spl0_44 ),
inference(avatar_split_clause,[],[f4382,f975,f5814,f1503]) ).
thf(f5817,plain,
( ~ spl0_42
| spl0_7
| spl0_149
| spl0_160 ),
inference(avatar_split_clause,[],[f4684,f4640,f4389,f114,f964]) ).
thf(f5819,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_1
| spl0_202 ),
inference(forward_subsumption_resolution,[],[f5620,f67]) ).
thf(f5829,definition,
( spl0_219
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
thf(f5830,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f5829]) ).
thf(f5841,plain,
( spl0_42
| ~ spl0_5
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f5350,f957,f84,f964]) ).
thf(f5843,definition,
( spl0_222
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
thf(f5844,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f5843]) ).
thf(f5846,definition,
( spl0_223
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f5847,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f5846]) ).
thf(f5851,definition,
( spl0_224
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
thf(f5852,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f5851]) ).
thf(f5854,definition,
( spl0_225
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).
thf(f5855,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f5854]) ).
thf(f5863,definition,
( spl0_227
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f5864,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f5863]) ).
thf(f5871,definition,
( spl0_229
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).
thf(f5872,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f5871]) ).
thf(f5887,plain,
( spl0_7
| ~ spl0_1
| ~ spl0_197
| spl0_202 ),
inference(avatar_split_clause,[],[f5788,f5437,f5246,f66,f114]) ).
thf(f5890,definition,
( spl0_233
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).
thf(f5891,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f5890]) ).
thf(f5892,plain,
( spl0_7
| spl0_233
| ~ spl0_1
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f5811,f1506,f66,f5890,f114]) ).
thf(f5893,plain,
( spl0_7
| spl0_179
| ~ spl0_1
| spl0_160 ),
inference(avatar_split_clause,[],[f5812,f4640,f66,f4879,f114]) ).
thf(f5894,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f2866]) ).
thf(f5896,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ X0 )
!= $true )
| ~ spl0_1
| ~ spl0_106
| ~ spl0_151
| spl0_202 ),
inference(forward_subsumption_resolution,[],[f5819,f5497]) ).
thf(f5901,plain,
( spl0_7
| ~ spl0_1
| ~ spl0_106
| ~ spl0_151
| spl0_202 ),
inference(avatar_split_clause,[],[f5896,f5437,f4396,f2869,f66,f114]) ).
thf(f5945,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_22
| ~ spl0_66 ),
inference(constrained_superposition,[],[f468,f3473]) ).
thf(f5946,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_26
| ~ spl0_66 ),
inference(constrained_superposition,[],[f555,f3473]) ).
thf(f5949,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_22
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f5945]) ).
thf(f5952,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_26
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f5946]) ).
thf(f5960,plain,
( $false
| ~ spl0_22
| ~ spl0_40
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f5949,f958]) ).
thf(f5961,plain,
( ~ spl0_22
| ~ spl0_40
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[],[f5960]) ).
thf(f5962,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_26
| ~ spl0_40
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f5952,f958]) ).
thf(f5963,plain,
( spl0_70
| ~ spl0_26
| ~ spl0_40
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f5962,f1503,f957,f554,f1523]) ).
thf(f5973,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_169 ),
inference(constrained_superposition,[],[f4775,f30]) ).
thf(f5974,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_169 ),
inference(trivial_inequality_removal,[],[f5973]) ).
thf(f5991,plain,
( $false
| ~ spl0_7
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f5791,f115]) ).
thf(f5992,plain,
( ~ spl0_7
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[],[f5991]) ).
thf(f6031,plain,
( spl0_7
| spl0_186
| ~ spl0_1
| spl0_202 ),
inference(avatar_split_clause,[],[f5819,f5437,f66,f5073,f114]) ).
thf(f6035,plain,
( spl0_10
| spl0_54
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f668,f66,f1047,f136]) ).
thf(f6037,definition,
( spl0_234
<=> ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).
thf(f6038,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f6037]) ).
thf(f6041,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_169 ),
inference(forward_subsumption_resolution,[],[f5974,f25]) ).
thf(f6047,definition,
( spl0_236
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).
thf(f6048,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_236 ),
inference(avatar_component_clause,[],[f6047]) ).
thf(f6049,plain,
( ~ spl0_66
| spl0_236
| ~ spl0_11
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f4809,f4410,f140,f6047,f1503]) ).
thf(f6056,definition,
( spl0_238
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).
thf(f6057,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f6056]) ).
thf(f6058,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_179 ),
inference(avatar_component_clause,[],[f4879]) ).
thf(f6061,definition,
( spl0_239
<=> ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).
thf(f6062,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f6061]) ).
thf(f6064,plain,
( spl0_179
| spl0_169 ),
inference(avatar_split_clause,[],[f6041,f4739,f4879]) ).
thf(f6091,definition,
( spl0_240
<=> ! [X2: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).
thf(f6092,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f6091]) ).
thf(f6103,definition,
( spl0_243
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).
thf(f6104,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f6103]) ).
thf(f6124,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f131,f35]) ).
thf(f6126,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f6124]) ).
thf(f6129,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_42 ),
inference(constrained_superposition,[],[f3467,f30]) ).
thf(f6130,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_42 ),
inference(trivial_inequality_removal,[],[f6129]) ).
thf(f6131,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_42
| spl0_44 ),
inference(forward_subsumption_resolution,[],[f6130,f4350]) ).
thf(f6132,plain,
( spl0_66
| spl0_42
| spl0_44 ),
inference(avatar_split_clause,[],[f6131,f975,f964,f1503]) ).
thf(f6211,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_39
| ~ spl0_240 ),
inference(constrained_superposition,[],[f6092,f953]) ).
thf(f6222,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_39
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f6211]) ).
thf(f6229,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( z
= ( s @ z ) )
| ~ spl0_39
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f6222,f26]) ).
thf(f6233,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_10
| ~ spl0_39
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f6229,f161]) ).
thf(f6235,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_10
| ~ spl0_39
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f6233,f25]) ).
thf(f6238,plain,
( $false
| spl0_10
| ~ spl0_39
| ~ spl0_40
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f6235,f958]) ).
thf(f6239,plain,
( spl0_10
| ~ spl0_39
| ~ spl0_40
| ~ spl0_240 ),
inference(avatar_contradiction_clause,[],[f6238]) ).
thf(f6248,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_75 ),
inference(constrained_superposition,[],[f79,f2547]) ).
thf(f6249,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_105 ),
inference(constrained_superposition,[],[f79,f5894]) ).
thf(f6252,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_3
| ~ spl0_39 ),
inference(constrained_superposition,[],[f79,f953]) ).
thf(f6253,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_3
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f6249]) ).
thf(f6256,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_3
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f6252]) ).
thf(f6262,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_3
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f6248]) ).
thf(f6266,plain,
( ~ spl0_160
| ~ spl0_3
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f6253,f2866,f78,f4640]) ).
thf(f6267,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_3
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f6256,f26]) ).
thf(f6270,plain,
( $false
| ~ spl0_3
| ~ spl0_66
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f6262,f3473]) ).
thf(f6271,plain,
( ~ spl0_3
| ~ spl0_66
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[],[f6270]) ).
thf(f6273,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_3
| ~ spl0_39
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f6267,f3473]) ).
thf(f6276,plain,
( ( z
= ( s @ z ) )
| ~ spl0_3
| spl0_10
| ~ spl0_39
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f6273,f161]) ).
thf(f6278,plain,
( $false
| ~ spl0_3
| spl0_10
| ~ spl0_39
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f6276,f25]) ).
thf(f6279,plain,
( ~ spl0_3
| spl0_10
| ~ spl0_39
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[],[f6278]) ).
thf(f6282,plain,
( ~ spl0_48
| ~ spl0_106
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f5496,f4410,f2869,f1024]) ).
thf(f6288,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_36
| ~ spl0_48 ),
inference(constrained_superposition,[],[f910,f2301]) ).
thf(f6291,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_48
| ~ spl0_109 ),
inference(constrained_superposition,[],[f3060,f2301]) ).
thf(f6295,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f29,f2301]) ).
thf(f6297,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f6295]) ).
thf(f6298,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_48
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f6291]) ).
thf(f6301,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_36
| ~ spl0_48 ),
inference(duplicate_literal_removal,[],[f6288]) ).
thf(f6302,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_36
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f6301]) ).
thf(f6306,plain,
( spl0_143
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f6297,f1024,f4167]) ).
thf(f6317,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_31
| ~ spl0_42 ),
inference(constrained_superposition,[],[f1896,f965]) ).
thf(f6324,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f28,f965]) ).
thf(f6326,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_31
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f6317]) ).
thf(f6330,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f6324]) ).
thf(f6333,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ X0 )
!= $true )
| ~ spl0_1
| ~ spl0_31
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f6326,f67]) ).
thf(f6335,plain,
( spl0_216
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f6330,f964,f5814]) ).
thf(f6337,plain,
( spl0_7
| ~ spl0_1
| ~ spl0_31
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f6333,f964,f842,f66,f114]) ).
thf(f6342,plain,
( spl0_216
| spl0_75
| spl0_44 ),
inference(avatar_split_clause,[],[f4383,f975,f1655,f5814]) ).
thf(f6356,plain,
( ~ spl0_4
| spl0_140
| ~ spl0_36
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f6302,f1024,f909,f4021,f81]) ).
thf(f6363,plain,
( spl0_31
| spl0_140
| ~ spl0_4
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f3526,f3499,f81,f4021,f842]) ).
thf(f6365,definition,
( spl0_253
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).
thf(f6366,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f6365]) ).
thf(f6370,plain,
( spl0_91
| spl0_31
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f3084,f3059,f842,f2297]) ).
thf(f6375,plain,
( spl0_91
| ~ spl0_48
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f6298,f3059,f1024,f2297]) ).
thf(f6452,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f700,f4725]) ).
thf(f6514,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f6452,f27]) ).
thf(f6523,plain,
( $false
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f6514,f31]) ).
thf(f6524,plain,
~ spl0_166,
inference(avatar_contradiction_clause,[],[f6523]) ).
thf(f6543,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_153 ),
inference(constrained_superposition,[],[f825,f4404]) ).
thf(f6544,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_153 ),
inference(constrained_superposition,[],[f179,f4404]) ).
thf(f6551,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f6544]) ).
thf(f6554,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f6543]) ).
thf(f6559,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_153
| spl0_179 ),
inference(forward_subsumption_resolution,[],[f6551,f6058]) ).
thf(f6560,plain,
( ~ spl0_192
| spl0_149
| spl0_193
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f6554,f4403,f5122,f4389,f5119]) ).
thf(f6563,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_197 ),
inference(avatar_component_clause,[],[f5246]) ).
thf(f6564,plain,
( ~ spl0_197
| spl0_193
| ~ spl0_153
| spl0_179 ),
inference(avatar_split_clause,[],[f6559,f4879,f4403,f5122,f5246]) ).
thf(f6565,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_197 ),
inference(constrained_superposition,[],[f6563,f30]) ).
thf(f6566,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_197 ),
inference(trivial_inequality_removal,[],[f6565]) ).
thf(f6570,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_195
| ~ spl0_207 ),
inference(constrained_superposition,[],[f5711,f5132]) ).
thf(f6578,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_195
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f6570]) ).
thf(f6582,plain,
( $false
| ~ spl0_186
| ~ spl0_195
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[],[f6578,f5074]) ).
thf(f6583,plain,
( ~ spl0_186
| ~ spl0_195
| ~ spl0_207 ),
inference(avatar_contradiction_clause,[],[f6582]) ).
thf(f6586,plain,
( ( $true != $true )
| ~ spl0_193
| spl0_202 ),
inference(constrained_superposition,[],[f5123,f5451]) ).
thf(f6591,plain,
( $false
| ~ spl0_193
| spl0_202 ),
inference(trivial_inequality_removal,[],[f6586]) ).
thf(f6592,plain,
( ~ spl0_193
| spl0_202 ),
inference(avatar_contradiction_clause,[],[f6591]) ).
thf(f6598,definition,
( spl0_257
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).
thf(f6599,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_257 ),
inference(avatar_component_clause,[],[f6598]) ).
thf(f6602,definition,
( spl0_258
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).
thf(f6603,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_258 ),
inference(avatar_component_clause,[],[f6602]) ).
thf(f6613,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f28,f5791]) ).
thf(f6619,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f6613]) ).
thf(f6629,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_49
| ~ spl0_187 ),
inference(constrained_superposition,[],[f1028,f5078]) ).
thf(f6644,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_49
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f6629]) ).
thf(f6648,plain,
( $false
| ~ spl0_49
| ~ spl0_187
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f6644,f5852]) ).
thf(f6649,plain,
( ~ spl0_49
| ~ spl0_187
| ~ spl0_224 ),
inference(avatar_contradiction_clause,[],[f6648]) ).
thf(f6662,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f64,f4397]) ).
thf(f6667,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f6662]) ).
thf(f6671,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_151
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f6667,f5123]) ).
thf(f6673,definition,
( spl0_260
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).
thf(f6674,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_260 ),
inference(avatar_component_clause,[],[f6673]) ).
thf(f6675,plain,
( spl0_260
| spl0_238
| ~ spl0_151
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f6671,f5122,f4396,f6056,f6673]) ).
thf(f6679,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_155
| ~ spl0_238 ),
inference(constrained_superposition,[],[f6057,f4411]) ).
thf(f6689,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_155
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f6679]) ).
thf(f6696,plain,
( ~ spl0_75
| ~ spl0_155
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f6689,f6056,f4410,f1655]) ).
thf(f6697,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_75 ),
inference(constrained_superposition,[],[f1656,f56]) ).
thf(f6698,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_1
| spl0_75 ),
inference(constrained_superposition,[],[f1656,f664]) ).
thf(f6701,plain,
( ( z
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_39
| spl0_75 ),
inference(constrained_superposition,[],[f1656,f953]) ).
thf(f6705,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| spl0_75 ),
inference(trivial_inequality_removal,[],[f6698]) ).
thf(f6706,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_75 ),
inference(trivial_inequality_removal,[],[f6697]) ).
thf(f6709,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_39
| spl0_75 ),
inference(trivial_inequality_removal,[],[f6701]) ).
thf(f6711,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_39
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f6709,f26]) ).
thf(f6713,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_39
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f6711,f25]) ).
thf(f6717,plain,
( spl0_10
| ~ spl0_39
| spl0_75 ),
inference(avatar_split_clause,[],[f6713,f1655,f952,f136]) ).
thf(f6722,definition,
( spl0_261
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).
thf(f6723,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f6722]) ).
thf(f6745,definition,
( spl0_262
<=> ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).
thf(f6746,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( b @ ( s @ z ) @ X1 )
= $true ) )
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f6745]) ).
thf(f6752,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f4778,f700]) ).
thf(f6754,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f6752]) ).
thf(f6757,plain,
( spl0_149
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f6754,f4777,f4389]) ).
thf(f6812,definition,
( spl0_263
<=> ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).
thf(f6813,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_263 ),
inference(avatar_component_clause,[],[f6812]) ).
thf(f6819,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_5
| ~ spl0_136 ),
inference(constrained_superposition,[],[f85,f3766]) ).
thf(f6820,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_5
| ~ spl0_185 ),
inference(constrained_superposition,[],[f85,f5070]) ).
thf(f6827,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_5
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f6819]) ).
thf(f6830,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_5
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f6820]) ).
thf(f6833,plain,
( spl0_236
| ~ spl0_5
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f6827,f3765,f84,f6047]) ).
thf(f6840,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_136 ),
inference(avatar_component_clause,[],[f3765]) ).
thf(f6842,definition,
( spl0_265
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
thf(f6843,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f6842]) ).
thf(f6870,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_263 ),
inference(constrained_superposition,[],[f6813,f34]) ).
thf(f6872,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_154
| ~ spl0_263 ),
inference(constrained_superposition,[],[f6813,f4407]) ).
thf(f6878,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f6870]) ).
thf(f6879,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_154
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f6872]) ).
thf(f6887,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_197
| ~ spl0_263 ),
inference(forward_subsumption_resolution,[],[f6878,f6563]) ).
thf(f6888,plain,
( $false
| ~ spl0_105
| ~ spl0_154
| ~ spl0_263 ),
inference(forward_subsumption_resolution,[],[f6879,f5894]) ).
thf(f6889,plain,
( ~ spl0_105
| ~ spl0_154
| ~ spl0_263 ),
inference(avatar_contradiction_clause,[],[f6888]) ).
thf(f6892,plain,
( $false
| ~ spl0_10
| spl0_197
| ~ spl0_263 ),
inference(forward_subsumption_resolution,[],[f6887,f137]) ).
thf(f6893,plain,
( ~ spl0_10
| spl0_197
| ~ spl0_263 ),
inference(avatar_contradiction_clause,[],[f6892]) ).
thf(f6898,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_8
| spl0_136 ),
inference(constrained_superposition,[],[f6840,f6126]) ).
thf(f6902,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_8
| spl0_136 ),
inference(trivial_inequality_removal,[],[f6898]) ).
thf(f6909,plain,
( $false
| ~ spl0_8
| spl0_136 ),
inference(forward_subsumption_resolution,[],[f6902,f25]) ).
thf(f6910,plain,
( ~ spl0_8
| spl0_136 ),
inference(avatar_contradiction_clause,[],[f6909]) ).
thf(f6913,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f5815,f35]) ).
thf(f6916,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f6913]) ).
thf(f6968,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f4731,f56]) ).
thf(f6982,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f6968]) ).
thf(f6995,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f28,f4400]) ).
thf(f7000,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f6995]) ).
thf(f7007,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f6619,f700]) ).
thf(f7008,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_152
| ~ spl0_211 ),
inference(constrained_superposition,[],[f6619,f4400]) ).
thf(f7011,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_152
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f7008]) ).
thf(f7012,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f7007]) ).
thf(f7016,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_222 ),
inference(avatar_component_clause,[],[f5843]) ).
thf(f7017,plain,
( ~ spl0_222
| spl0_172
| ~ spl0_152
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f7011,f5790,f4399,f4777,f5843]) ).
thf(f7018,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_222 ),
inference(constrained_superposition,[],[f7016,f30]) ).
thf(f7019,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_222 ),
inference(trivial_inequality_removal,[],[f7018]) ).
thf(f7096,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_202 ),
inference(constrained_superposition,[],[f5438,f55]) ).
thf(f7101,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_202 ),
inference(trivial_inequality_removal,[],[f7096]) ).
thf(f7106,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f7000,f700]) ).
thf(f7108,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_152
| ~ spl0_261 ),
inference(constrained_superposition,[],[f7000,f6723]) ).
thf(f7112,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_152
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f7108]) ).
thf(f7113,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f7106]) ).
thf(f7115,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_236 ),
inference(avatar_component_clause,[],[f6047]) ).
thf(f7116,plain,
( spl0_7
| ~ spl0_236
| ~ spl0_152
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f7112,f6722,f4399,f6047,f114]) ).
thf(f7119,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f4640]) ).
thf(f7219,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_187
| ~ spl0_253 ),
inference(constrained_superposition,[],[f6366,f5078]) ).
thf(f7229,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_187
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f7219]) ).
thf(f7234,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_48
| ~ spl0_187
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f7229,f2301]) ).
thf(f7235,plain,
( spl0_57
| ~ spl0_48
| ~ spl0_187
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f7234,f6365,f5077,f1024,f1191]) ).
thf(f7237,definition,
( spl0_266
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
thf(f7238,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_266 ),
inference(avatar_component_clause,[],[f7237]) ).
thf(f7239,plain,
( ~ spl0_266
| spl0_187
| spl0_30
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f7113,f4399,f839,f5077,f7237]) ).
thf(f7241,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_35
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f7012,f907]) ).
thf(f7243,plain,
( spl0_187
| spl0_30
| ~ spl0_35
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f7241,f5790,f906,f839,f5077]) ).
thf(f7244,plain,
( spl0_261
| spl0_202 ),
inference(avatar_split_clause,[],[f7101,f5437,f6722]) ).
thf(f7247,plain,
( spl0_261
| ~ spl0_5
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f6830,f5069,f84,f6722]) ).
thf(f7251,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_197 ),
inference(forward_subsumption_resolution,[],[f6566,f25]) ).
thf(f7265,plain,
( spl0_105
| spl0_166
| spl0_222 ),
inference(avatar_split_clause,[],[f7019,f5843,f4724,f2866]) ).
thf(f7267,plain,
( spl0_186
| spl0_197 ),
inference(avatar_split_clause,[],[f7251,f5246,f5073]) ).
thf(f7270,plain,
( spl0_35
| spl0_75 ),
inference(avatar_split_clause,[],[f6706,f1655,f906]) ).
thf(f7277,definition,
( spl0_271
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
thf(f7278,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f7277]) ).
thf(f7285,definition,
( spl0_272
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
thf(f7286,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_272 ),
inference(avatar_component_clause,[],[f7285]) ).
thf(f7339,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f4778,f35]) ).
thf(f7342,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f7339]) ).
thf(f7389,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f4022,f56]) ).
thf(f7396,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f7389]) ).
thf(f7421,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_3 ),
inference(constrained_superposition,[],[f79,f664]) ).
thf(f7425,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f7421]) ).
thf(f7434,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f7425,f664]) ).
thf(f7468,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_151
| ~ spl0_243 ),
inference(constrained_superposition,[],[f6104,f4397]) ).
thf(f7469,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_151
| ~ spl0_167 ),
inference(constrained_superposition,[],[f4731,f4397]) ).
thf(f7470,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_58
| ~ spl0_151 ),
inference(constrained_superposition,[],[f1195,f4397]) ).
thf(f7473,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_151
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f7469]) ).
thf(f7475,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_151
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f7468]) ).
thf(f7478,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_58
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f7470]) ).
thf(f7481,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_151
| ~ spl0_167
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f7473,f5070]) ).
thf(f7482,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_187 ),
inference(avatar_component_clause,[],[f5077]) ).
thf(f7483,plain,
( ~ spl0_202
| ~ spl0_187
| ~ spl0_151
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f7475,f6103,f4396,f5077,f5437]) ).
thf(f7485,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_58
| ~ spl0_151
| spl0_179 ),
inference(forward_subsumption_resolution,[],[f7478,f6058]) ).
thf(f7486,plain,
( ~ spl0_187
| ~ spl0_151
| ~ spl0_167
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f7481,f5069,f4730,f4396,f5077]) ).
thf(f7487,plain,
( ~ spl0_187
| ~ spl0_58
| ~ spl0_151
| spl0_179 ),
inference(avatar_split_clause,[],[f7485,f4879,f4396,f1194,f5077]) ).
thf(f7489,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| spl0_187 ),
inference(constrained_superposition,[],[f7482,f664]) ).
thf(f7493,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_1
| spl0_187 ),
inference(trivial_inequality_removal,[],[f7489]) ).
thf(f7522,plain,
( $false
| ~ spl0_153
| ~ spl0_172 ),
inference(forward_subsumption_resolution,[],[f4404,f4778]) ).
thf(f7523,plain,
( ~ spl0_153
| ~ spl0_172 ),
inference(avatar_contradiction_clause,[],[f7522]) ).
thf(f7526,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_154 ),
inference(constrained_superposition,[],[f70,f4407]) ).
thf(f7528,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_58
| ~ spl0_154 ),
inference(constrained_superposition,[],[f1195,f4407]) ).
thf(f7529,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_154 ),
inference(constrained_superposition,[],[f42,f4407]) ).
thf(f7531,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f7529]) ).
thf(f7534,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_58
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f7528]) ).
thf(f7536,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f7526]) ).
thf(f7551,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_140
| ~ spl0_186 ),
inference(constrained_superposition,[],[f7396,f5074]) ).
thf(f7556,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_140
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f7551]) ).
thf(f7559,plain,
( spl0_211
| ~ spl0_140
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f7556,f5073,f4021,f5790]) ).
thf(f7594,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_101
| ~ spl0_149 ),
inference(constrained_superposition,[],[f2764,f4390]) ).
thf(f7602,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_101
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f7594]) ).
thf(f7610,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_101
| ~ spl0_136
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f7602,f3766]) ).
thf(f7611,plain,
( $false
| ~ spl0_101
| ~ spl0_136
| ~ spl0_149
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f7610,f7119]) ).
thf(f7612,plain,
( ~ spl0_101
| ~ spl0_136
| ~ spl0_149
| ~ spl0_160 ),
inference(avatar_contradiction_clause,[],[f7611]) ).
thf(f7739,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_154
| ~ spl0_258 ),
inference(constrained_superposition,[],[f6603,f4407]) ).
thf(f7748,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_154
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f7739]) ).
thf(f7753,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_136
| ~ spl0_154
| ~ spl0_258 ),
inference(forward_subsumption_resolution,[],[f7748,f3766]) ).
thf(f7754,plain,
( $false
| ~ spl0_136
| ~ spl0_154
| ~ spl0_160
| ~ spl0_258 ),
inference(forward_subsumption_resolution,[],[f7753,f7119]) ).
thf(f7755,plain,
( ~ spl0_136
| ~ spl0_154
| ~ spl0_160
| ~ spl0_258 ),
inference(avatar_contradiction_clause,[],[f7754]) ).
thf(f7763,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_240 ),
inference(constrained_superposition,[],[f6092,f56]) ).
thf(f7765,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f7763]) ).
thf(f7773,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_185
| ~ spl0_240 ),
inference(constrained_superposition,[],[f7765,f5070]) ).
thf(f7780,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_185
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f7773]) ).
thf(f7787,plain,
( spl0_211
| ~ spl0_185
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f7780,f6091,f5069,f5790]) ).
thf(f7796,definition,
( spl0_274
<=> ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).
thf(f7797,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f7796]) ).
thf(f7799,plain,
( spl0_9
| ~ spl0_15
| spl0_40
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f6916,f5814,f957,f323,f133]) ).
thf(f7801,plain,
( spl0_136
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f7342,f4777,f3765]) ).
thf(f7804,definition,
( spl0_275
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
thf(f7805,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f7804]) ).
thf(f7806,plain,
( spl0_275
| spl0_10
| ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f7434,f78,f66,f136,f7804]) ).
thf(f7807,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f6705,f25]) ).
thf(f7817,plain,
( spl0_40
| spl0_10
| ~ spl0_1
| spl0_75 ),
inference(avatar_split_clause,[],[f7807,f1655,f66,f136,f957]) ).
thf(f7818,plain,
( spl0_42
| ~ spl0_179
| spl0_238
| ~ spl0_40
| ~ spl0_2
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f4811,f4410,f69,f957,f6056,f4879,f964]) ).
thf(f7835,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| spl0_15 ),
inference(constrained_superposition,[],[f324,f35]) ).
thf(f7837,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| spl0_15 ),
inference(trivial_inequality_removal,[],[f7835]) ).
thf(f7839,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f7837,f323,f136]) ).
thf(f7841,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_3
| ~ spl0_10 ),
inference(constrained_superposition,[],[f79,f137]) ).
thf(f7843,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_3
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f7841]) ).
thf(f7849,plain,
( ~ spl0_4
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f7843,f136,f78,f81]) ).
thf(f7850,plain,
( ( ( b @ z @ ( s @ z ) )
= $true )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f81]) ).
thf(f7976,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_266 ),
inference(constrained_superposition,[],[f7238,f700]) ).
thf(f7979,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_266 ),
inference(trivial_inequality_removal,[],[f7976]) ).
thf(f7986,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f42,f4397]) ).
thf(f7995,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f7986]) ).
thf(f7997,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_151
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f7995,f5070]) ).
thf(f7998,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_151
| spl0_169
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f7997,f4775]) ).
thf(f7999,plain,
( spl0_206
| ~ spl0_151
| spl0_169
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f7998,f5069,f4739,f4396,f5553]) ).
thf(f8000,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_179
| ~ spl0_238 ),
inference(constrained_superposition,[],[f6057,f4880]) ).
thf(f8012,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_179
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f8000]) ).
thf(f8021,plain,
( $false
| ~ spl0_10
| ~ spl0_179
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f8012,f137]) ).
thf(f8022,plain,
( ~ spl0_10
| ~ spl0_179
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f8021]) ).
thf(f8067,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_23
| ~ spl0_185 ),
inference(constrained_superposition,[],[f471,f5070]) ).
thf(f8070,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f8067]) ).
thf(f8079,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_58
| ~ spl0_149
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f7534,f4390]) ).
thf(f8081,plain,
( spl0_186
| ~ spl0_58
| ~ spl0_149
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f8079,f4406,f4389,f1194,f5073]) ).
thf(f8091,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_225 ),
inference(constrained_superposition,[],[f55,f5855]) ).
thf(f8136,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f8091,f31]) ).
thf(f8143,plain,
( $false
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f8136,f27]) ).
thf(f8144,plain,
~ spl0_225,
inference(avatar_contradiction_clause,[],[f8143]) ).
thf(f8145,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_23
| ~ spl0_185 ),
inference(constrained_superposition,[],[f8070,f34]) ).
thf(f8148,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_23
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f8145]) ).
thf(f8150,plain,
( spl0_197
| ~ spl0_23
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f8148,f5069,f470,f5246]) ).
thf(f8164,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_3
| ~ spl0_224 ),
inference(constrained_superposition,[],[f79,f5852]) ).
thf(f8168,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_3
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f8164]) ).
thf(f8170,plain,
( ~ spl0_202
| ~ spl0_3
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f8168,f5851,f78,f5437]) ).
thf(f8171,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_1
| spl0_40
| spl0_187 ),
inference(forward_subsumption_resolution,[],[f7493,f1635]) ).
thf(f8172,plain,
( spl0_166
| spl0_185
| ~ spl0_1
| spl0_40
| spl0_187 ),
inference(avatar_split_clause,[],[f8171,f5077,f957,f66,f5069,f4724]) ).
thf(f8173,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_186 ),
inference(avatar_component_clause,[],[f5073]) ).
thf(f8174,plain,
( spl0_263
| ~ spl0_186
| spl0_236
| ~ spl0_136
| ~ spl0_2
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f7536,f4406,f69,f3765,f6047,f5073,f6812]) ).
thf(f8175,plain,
( spl0_265
| ~ spl0_136
| spl0_197
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f7531,f4406,f5246,f3765,f6842]) ).
thf(f8179,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f29,f3766]) ).
thf(f8182,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f8179]) ).
thf(f8210,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_236 ),
inference(constrained_superposition,[],[f28,f6048]) ).
thf(f8220,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f8210]) ).
thf(f8227,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_22
| ~ spl0_160 ),
inference(constrained_superposition,[],[f468,f7119]) ).
thf(f8236,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_22
| ~ spl0_160 ),
inference(trivial_inequality_removal,[],[f8227]) ).
thf(f8238,plain,
( $false
| ~ spl0_22
| ~ spl0_136
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f8236,f3766]) ).
thf(f8239,plain,
( ~ spl0_22
| ~ spl0_136
| ~ spl0_160 ),
inference(avatar_contradiction_clause,[],[f8238]) ).
thf(f8384,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_257 ),
inference(constrained_superposition,[],[f6599,f34]) ).
thf(f8386,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_154
| ~ spl0_257 ),
inference(constrained_superposition,[],[f6599,f4407]) ).
thf(f8394,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_154
| ~ spl0_257 ),
inference(trivial_inequality_removal,[],[f8386]) ).
thf(f8398,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_257 ),
inference(trivial_inequality_removal,[],[f8384]) ).
thf(f8465,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_154
| ~ spl0_274 ),
inference(constrained_superposition,[],[f7797,f4407]) ).
thf(f8466,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_149
| ~ spl0_274 ),
inference(constrained_superposition,[],[f7797,f4390]) ).
thf(f8471,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_149
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f8466]) ).
thf(f8474,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_154
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f8465]) ).
thf(f8478,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_48
| ~ spl0_149
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f8471,f2301]) ).
thf(f8479,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_154
| ~ spl0_186
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f8474,f5074]) ).
thf(f8480,plain,
( spl0_57
| ~ spl0_48
| ~ spl0_149
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f8478,f7796,f4389,f1024,f1191]) ).
thf(f8503,plain,
( ( $true != $true )
| ~ spl0_172
| ~ spl0_236 ),
inference(constrained_superposition,[],[f4778,f6048]) ).
thf(f8507,plain,
( $false
| ~ spl0_172
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f8503]) ).
thf(f8508,plain,
( ~ spl0_172
| ~ spl0_236 ),
inference(avatar_contradiction_clause,[],[f8507]) ).
thf(f8512,definition,
( spl0_277
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).
thf(f8513,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f8512]) ).
thf(f8562,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_154
| ~ spl0_186
| ~ spl0_274 ),
inference(constrained_superposition,[],[f8479,f56]) ).
thf(f8570,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_154
| ~ spl0_186
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f8562]) ).
thf(f8578,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_66
| ~ spl0_154
| ~ spl0_186
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f8570,f3473]) ).
thf(f8580,plain,
( spl0_211
| ~ spl0_66
| ~ spl0_154
| ~ spl0_186
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f8578,f7796,f5073,f4406,f1503,f5790]) ).
thf(f8607,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_236 ),
inference(constrained_superposition,[],[f8220,f700]) ).
thf(f8610,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f8607]) ).
thf(f8631,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_136
| ~ spl0_239 ),
inference(constrained_superposition,[],[f6062,f3766]) ).
thf(f8639,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_154
| ~ spl0_239 ),
inference(constrained_superposition,[],[f6062,f4407]) ).
thf(f8649,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_136
| ~ spl0_239 ),
inference(duplicate_literal_removal,[],[f8631]) ).
thf(f8650,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_136
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f8649]) ).
thf(f8656,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_154
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f8639]) ).
thf(f8660,plain,
( spl0_140
| ~ spl0_136
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f8650,f6061,f3765,f4021]) ).
thf(f8661,plain,
( spl0_203
| ~ spl0_154
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f8656,f6061,f4406,f5440]) ).
thf(f8672,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_105
| ~ spl0_140 ),
inference(constrained_superposition,[],[f4022,f5894]) ).
thf(f8680,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_105
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f8672]) ).
thf(f8682,plain,
( $false
| ~ spl0_105
| ~ spl0_140
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f8680,f4880]) ).
thf(f8683,plain,
( ~ spl0_105
| ~ spl0_140
| ~ spl0_179 ),
inference(avatar_contradiction_clause,[],[f8682]) ).
thf(f8689,plain,
( spl0_149
| spl0_266 ),
inference(avatar_split_clause,[],[f7979,f7237,f4389]) ).
thf(f8693,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10
| ~ spl0_167 ),
inference(forward_subsumption_resolution,[],[f6982,f137]) ).
thf(f8695,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_35 ),
inference(avatar_component_clause,[],[f906]) ).
thf(f8696,plain,
( spl0_149
| ~ spl0_35
| spl0_30
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f8610,f6047,f839,f906,f4389]) ).
thf(f8699,plain,
( ~ spl0_75
| spl0_222
| ~ spl0_10
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f8693,f4730,f136,f5843,f1655]) ).
thf(f8707,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_31 ),
inference(constrained_superposition,[],[f149,f1043]) ).
thf(f8714,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_1
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f8707]) ).
thf(f8718,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_1
| ~ spl0_31
| spl0_44 ),
inference(forward_subsumption_resolution,[],[f8714,f4350]) ).
thf(f8720,plain,
( spl0_75
| spl0_30
| ~ spl0_1
| ~ spl0_31
| spl0_44 ),
inference(avatar_split_clause,[],[f8718,f975,f842,f66,f839,f1655]) ).
thf(f8768,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_185 ),
inference(constrained_superposition,[],[f29,f5070]) ).
thf(f8771,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f8768]) ).
thf(f8837,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_187 ),
inference(constrained_superposition,[],[f1038,f5078]) ).
thf(f8847,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_52
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f8837]) ).
thf(f8853,plain,
( $false
| ~ spl0_52
| ~ spl0_186
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f8847,f5074]) ).
thf(f8854,plain,
( ~ spl0_52
| ~ spl0_186
| ~ spl0_187 ),
inference(avatar_contradiction_clause,[],[f8853]) ).
thf(f8912,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_187
| ~ spl0_203 ),
inference(constrained_superposition,[],[f5441,f5078]) ).
thf(f8914,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_187
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f8912]) ).
thf(f8925,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_75
| ~ spl0_187
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f8914,f2547]) ).
thf(f8926,plain,
( $false
| ~ spl0_48
| ~ spl0_75
| ~ spl0_187
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f8925,f2301]) ).
thf(f8927,plain,
( ~ spl0_48
| ~ spl0_75
| ~ spl0_187
| ~ spl0_203 ),
inference(avatar_contradiction_clause,[],[f8926]) ).
thf(f8936,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_48 ),
inference(constrained_superposition,[],[f141,f2301]) ).
thf(f8957,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f8936]) ).
thf(f8992,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_185
| ~ spl0_196 ),
inference(constrained_superposition,[],[f5244,f5070]) ).
thf(f9002,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_187
| ~ spl0_196 ),
inference(constrained_superposition,[],[f5244,f5078]) ).
thf(f9011,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_185
| ~ spl0_196 ),
inference(duplicate_literal_removal,[],[f8992]) ).
thf(f9012,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_185
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f9011]) ).
thf(f9019,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_187
| ~ spl0_196 ),
inference(duplicate_literal_removal,[],[f9002]) ).
thf(f9020,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_187
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f9019]) ).
thf(f9026,plain,
( spl0_207
| ~ spl0_185
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f9012,f5243,f5069,f5710]) ).
thf(f9029,plain,
( spl0_207
| ~ spl0_187
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f9020,f5243,f5077,f5710]) ).
thf(f9035,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| ~ spl0_41
| ~ spl0_187 ),
inference(constrained_superposition,[],[f961,f5078]) ).
thf(f9041,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_41
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f9035]) ).
thf(f9055,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_41
| ~ spl0_185
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f9041,f5070]) ).
thf(f9059,plain,
( spl0_203
| ~ spl0_41
| ~ spl0_185
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f9055,f5077,f5069,f960,f5440]) ).
thf(f9073,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_75
| ~ spl0_140 ),
inference(constrained_superposition,[],[f4022,f2547]) ).
thf(f9082,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_75
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f9073]) ).
thf(f9084,plain,
( $false
| ~ spl0_48
| ~ spl0_75
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f9082,f2301]) ).
thf(f9085,plain,
( ~ spl0_48
| ~ spl0_75
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[],[f9084]) ).
thf(f9086,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_149 ),
inference(avatar_component_clause,[],[f4389]) ).
thf(f9087,plain,
( ~ spl0_149
| ~ spl0_160
| ~ spl0_154
| ~ spl0_257 ),
inference(avatar_split_clause,[],[f8394,f6598,f4406,f4640,f4389]) ).
thf(f9091,plain,
( ~ spl0_4
| spl0_42
| ~ spl0_11
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f8957,f1024,f140,f964,f81]) ).
thf(f9094,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_48
| ~ spl0_257 ),
inference(forward_subsumption_resolution,[],[f8398,f2301]) ).
thf(f9098,definition,
( spl0_280
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_280])],[avatar_definition]) ).
thf(f9099,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_280 ),
inference(avatar_component_clause,[],[f9098]) ).
thf(f9102,plain,
( spl0_197
| ~ spl0_4
| ~ spl0_48
| ~ spl0_257 ),
inference(avatar_split_clause,[],[f9094,f6598,f1024,f81,f5246]) ).
thf(f9138,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_1
| ~ spl0_169 ),
inference(constrained_superposition,[],[f149,f4740]) ).
thf(f9142,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_169 ),
inference(constrained_superposition,[],[f28,f4740]) ).
thf(f9143,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_1
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f9138]) ).
thf(f9147,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f9142]) ).
thf(f9148,plain,
( spl0_172
| spl0_105
| spl0_166
| ~ spl0_1
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f9143,f4739,f66,f4724,f2866,f4777]) ).
thf(f9161,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_10
| ~ spl0_23 ),
inference(constrained_superposition,[],[f471,f137]) ).
thf(f9162,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_23
| ~ spl0_136 ),
inference(constrained_superposition,[],[f471,f3766]) ).
thf(f9163,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_23
| ~ spl0_185 ),
inference(constrained_superposition,[],[f471,f5070]) ).
thf(f9165,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f9163]) ).
thf(f9168,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_10
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f9161]) ).
thf(f9172,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f9162]) ).
thf(f9173,plain,
( ~ spl0_186
| ~ spl0_23
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f9165,f5069,f470,f5073]) ).
thf(f9174,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f9168,f470,f136,f81]) ).
thf(f9176,plain,
( ~ spl0_179
| ~ spl0_23
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f9172,f3765,f470,f4879]) ).
thf(f9196,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_1
| ~ spl0_197 ),
inference(constrained_superposition,[],[f149,f5247]) ).
thf(f9203,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_1
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f9196]) ).
thf(f9206,plain,
( spl0_225
| spl0_224
| spl0_193
| ~ spl0_1
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f9203,f5246,f66,f5122,f5851,f5854]) ).
thf(f9432,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_154
| ~ spl0_162 ),
inference(constrained_superposition,[],[f4649,f4407]) ).
thf(f9437,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_154
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f9432]) ).
thf(f9445,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_154
| ~ spl0_162
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f9437,f5070]) ).
thf(f9447,plain,
( spl0_225
| ~ spl0_154
| ~ spl0_162
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f9445,f5069,f4648,f4406,f5854]) ).
thf(f9483,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_160 ),
inference(constrained_superposition,[],[f4641,f55]) ).
thf(f9488,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_160 ),
inference(trivial_inequality_removal,[],[f9483]) ).
thf(f9491,plain,
( spl0_236
| spl0_160 ),
inference(avatar_split_clause,[],[f9488,f4640,f6047]) ).
thf(f9611,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_169 ),
inference(constrained_superposition,[],[f9147,f700]) ).
thf(f9617,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f9611]) ).
thf(f9630,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f29,f286]) ).
thf(f9634,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f9630]) ).
thf(f9647,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_155
| ~ spl0_280 ),
inference(constrained_superposition,[],[f9099,f4411]) ).
thf(f9654,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_155
| ~ spl0_280 ),
inference(trivial_inequality_removal,[],[f9647]) ).
thf(f9663,plain,
( spl0_161
| ~ spl0_155
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f9654,f9098,f4410,f4644]) ).
thf(f9701,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_185
| ~ spl0_234 ),
inference(constrained_superposition,[],[f6038,f5070]) ).
thf(f9716,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_185
| ~ spl0_234 ),
inference(duplicate_literal_removal,[],[f9701]) ).
thf(f9717,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_185
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f9716]) ).
thf(f9728,plain,
( spl0_140
| ~ spl0_185
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f9717,f6037,f5069,f4021]) ).
thf(f9775,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_185
| ~ spl0_265 ),
inference(constrained_superposition,[],[f6843,f5070]) ).
thf(f9794,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_185
| ~ spl0_265 ),
inference(duplicate_literal_removal,[],[f9775]) ).
thf(f9795,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_185
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f9794]) ).
thf(f9801,definition,
( spl0_281
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_281])],[avatar_definition]) ).
thf(f9802,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_281 ),
inference(avatar_component_clause,[],[f9801]) ).
thf(f9805,plain,
( spl0_281
| ~ spl0_185
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f9795,f6842,f5069,f9801]) ).
thf(f9883,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X1 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_109
| ~ spl0_149 ),
inference(constrained_superposition,[],[f3060,f4390]) ).
thf(f9898,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_109
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f9883]) ).
thf(f9903,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_109
| ~ spl0_149
| ~ spl0_155 ),
inference(constrained_superposition,[],[f9898,f4411]) ).
thf(f9910,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_109
| ~ spl0_149
| ~ spl0_155 ),
inference(duplicate_literal_removal,[],[f9903]) ).
thf(f9911,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_109
| ~ spl0_149
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f9910]) ).
thf(f9916,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_44
| ~ spl0_109
| ~ spl0_149
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f9911,f4350]) ).
thf(f9917,plain,
( spl0_133
| spl0_44
| ~ spl0_109
| ~ spl0_149
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f9916,f4410,f4389,f3059,f975,f3566]) ).
thf(f9951,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( s @ z )
= X2 )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f9634,f56]) ).
thf(f9961,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( s @ z )
= X2 )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f9951]) ).
thf(f9968,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( s @ z )
= X2 )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f9961,f115]) ).
thf(f10143,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_143
| ~ spl0_155 ),
inference(constrained_superposition,[],[f4168,f4411]) ).
thf(f10149,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_143
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f10143]) ).
thf(f10171,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(constrained_superposition,[],[f10149,f4390]) ).
thf(f10185,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(duplicate_literal_removal,[],[f10171]) ).
thf(f10186,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f10185]) ).
thf(f10187,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_48
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f10186,f2301]) ).
thf(f10191,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_48
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(constrained_superposition,[],[f10187,f56]) ).
thf(f10192,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_48
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(constrained_superposition,[],[f10187,f4390]) ).
thf(f10196,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_48
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(constrained_superposition,[],[f10187,f286]) ).
thf(f10199,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_48
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f10191]) ).
thf(f10205,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_48
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f10192]) ).
thf(f10206,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_14
| ~ spl0_48
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f10196]) ).
thf(f10209,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_48
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f10199,f137]) ).
thf(f10212,plain,
( $false
| ~ spl0_48
| ~ spl0_136
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f10205,f3766]) ).
thf(f10213,plain,
( ~ spl0_48
| ~ spl0_136
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(avatar_contradiction_clause,[],[f10212]) ).
thf(f10214,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_14
| spl0_44
| ~ spl0_48
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f10206,f4350]) ).
thf(f10215,plain,
( $false
| ~ spl0_10
| spl0_35
| ~ spl0_48
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f10209,f8695]) ).
thf(f10216,plain,
( ~ spl0_10
| spl0_35
| ~ spl0_48
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(avatar_contradiction_clause,[],[f10215]) ).
thf(f10217,plain,
( $false
| ~ spl0_10
| ~ spl0_14
| spl0_44
| ~ spl0_48
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f10214,f137]) ).
thf(f10218,plain,
( ~ spl0_10
| ~ spl0_14
| spl0_44
| ~ spl0_48
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(avatar_contradiction_clause,[],[f10217]) ).
thf(f10221,plain,
( ~ spl0_31
| spl0_149
| spl0_30
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f9617,f4739,f839,f4389,f842]) ).
thf(f10224,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_40
| ~ spl0_143 ),
inference(constrained_superposition,[],[f4168,f958]) ).
thf(f10229,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_40
| ~ spl0_143 ),
inference(duplicate_literal_removal,[],[f10224]) ).
thf(f10230,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_40
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f10229]) ).
thf(f10235,plain,
( spl0_37
| ~ spl0_40
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f10230,f4167,f957,f945]) ).
thf(f10316,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_151
| ~ spl0_206 ),
inference(constrained_superposition,[],[f5554,f4397]) ).
thf(f10323,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ z )
= X1 )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_7
| ~ spl0_14
| ~ spl0_151 ),
inference(constrained_superposition,[],[f9968,f4397]) ).
thf(f10329,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( s @ z )
= X1 )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_7
| ~ spl0_14
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f10323]) ).
thf(f10332,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_151
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f10316]) ).
thf(f10349,definition,
( spl0_288
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).
thf(f10350,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_288 ),
inference(avatar_component_clause,[],[f10349]) ).
thf(f10392,definition,
( spl0_289
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).
thf(f10393,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f10392]) ).
thf(f10394,plain,
( ~ spl0_179
| spl0_289
| ~ spl0_151
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f10332,f5553,f4396,f10392,f4879]) ).
thf(f10396,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X1 )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_14
| ~ spl0_179 ),
inference(constrained_superposition,[],[f9968,f4880]) ).
thf(f10405,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= X1 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_7
| ~ spl0_14
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f10396]) ).
thf(f10465,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_14
| ~ spl0_37 ),
inference(constrained_superposition,[],[f946,f286]) ).
thf(f10476,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_14
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f10465]) ).
thf(f10481,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_14
| ~ spl0_37
| spl0_44 ),
inference(forward_subsumption_resolution,[],[f10476,f4350]) ).
thf(f10484,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_10
| ~ spl0_14
| ~ spl0_37
| spl0_44 ),
inference(forward_subsumption_resolution,[],[f10481,f137]) ).
thf(f10486,plain,
( spl0_140
| ~ spl0_10
| ~ spl0_14
| ~ spl0_37
| spl0_44 ),
inference(avatar_split_clause,[],[f10484,f975,f945,f285,f136,f4021]) ).
thf(f10509,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl0_155 ),
inference(constrained_superposition,[],[f29,f4411]) ).
thf(f10511,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f10509]) ).
thf(f10552,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_243 ),
inference(constrained_superposition,[],[f6104,f34]) ).
thf(f10569,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f10552]) ).
thf(f10688,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_7
| ~ spl0_14
| ~ spl0_151
| ~ spl0_179 ),
inference(constrained_superposition,[],[f10405,f4397]) ).
thf(f10697,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_7
| ~ spl0_14
| ~ spl0_151
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f10688]) ).
thf(f10708,plain,
( spl0_288
| ~ spl0_202
| ~ spl0_7
| ~ spl0_14
| ~ spl0_151
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f10697,f4879,f4396,f285,f114,f5437,f10349]) ).
thf(f10753,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_98
| spl0_202 ),
inference(constrained_superposition,[],[f5438,f2551]) ).
thf(f10757,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_98
| spl0_202 ),
inference(trivial_inequality_removal,[],[f10753]) ).
thf(f10774,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_98
| spl0_202 ),
inference(forward_subsumption_resolution,[],[f10757,f25]) ).
thf(f10781,plain,
( spl0_225
| ~ spl0_98
| spl0_202 ),
inference(avatar_split_clause,[],[f10774,f5437,f2550,f5854]) ).
thf(f10819,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_155
| ~ spl0_223 ),
inference(constrained_superposition,[],[f5847,f4411]) ).
thf(f10834,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_155
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f10819]) ).
thf(f10869,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_7
| ~ spl0_14
| ~ spl0_151
| ~ spl0_154 ),
inference(constrained_superposition,[],[f10329,f4407]) ).
thf(f10879,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_14
| ~ spl0_151
| ~ spl0_154 ),
inference(duplicate_literal_removal,[],[f10869]) ).
thf(f10880,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_14
| ~ spl0_151
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f10879]) ).
thf(f10881,plain,
( spl0_272
| spl0_166
| ~ spl0_7
| ~ spl0_14
| ~ spl0_151
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f10880,f4406,f4396,f285,f114,f4724,f7285]) ).
thf(f11058,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f8182,f56]) ).
thf(f11059,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( 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_136
| ~ spl0_151 ),
inference(constrained_superposition,[],[f8182,f4397]) ).
thf(f11064,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_14
| ~ spl0_136 ),
inference(constrained_superposition,[],[f8182,f286]) ).
thf(f11070,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_136
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f11059]) ).
thf(f11075,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f11058]) ).
thf(f11076,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_14
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f11064]) ).
thf(f11080,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_7
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f11075,f115]) ).
thf(f11081,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_10
| ~ spl0_14
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f11076,f137]) ).
thf(f11082,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_7
| ~ spl0_10
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f11080,f137]) ).
thf(f11084,definition,
( spl0_291
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).
thf(f11085,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f11084]) ).
thf(f11086,plain,
( spl0_166
| spl0_291
| ~ spl0_10
| ~ spl0_14
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f11081,f3765,f285,f136,f11084,f4724]) ).
thf(f11087,plain,
( spl0_291
| ~ spl0_7
| ~ spl0_10
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f11082,f3765,f136,f114,f11084]) ).
thf(f11089,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_136
| ~ spl0_291 ),
inference(constrained_superposition,[],[f11085,f3766]) ).
thf(f11100,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_136
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f11089]) ).
thf(f11109,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_10
| ~ spl0_136
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f11100,f137]) ).
thf(f11114,plain,
( spl0_23
| ~ spl0_10
| ~ spl0_136
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f11109,f11084,f3765,f136,f470]) ).
thf(f11189,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_151
| ~ spl0_185 ),
inference(constrained_superposition,[],[f8771,f4397]) ).
thf(f11194,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_151
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f11189]) ).
thf(f11205,definition,
( spl0_292
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
thf(f11206,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f11205]) ).
thf(f11207,plain,
( spl0_292
| spl0_106
| ~ spl0_151
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f11194,f5069,f4396,f2869,f11205]) ).
thf(f11210,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f11206,f56]) ).
thf(f11215,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_14
| ~ spl0_292 ),
inference(constrained_superposition,[],[f11206,f286]) ).
thf(f11218,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_14
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f11215]) ).
thf(f11225,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f11210]) ).
thf(f11227,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_10
| ~ spl0_14
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f11218,f137]) ).
thf(f11229,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_105
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f11225,f5894]) ).
thf(f11231,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_10
| ~ spl0_14
| ~ spl0_105
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f11227,f5894]) ).
thf(f11234,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_7
| ~ spl0_105
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f11229,f115]) ).
thf(f11236,plain,
( spl0_225
| ~ spl0_10
| ~ spl0_14
| ~ spl0_105
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f11231,f11205,f2866,f285,f136,f5854]) ).
thf(f11237,plain,
( $false
| ~ spl0_7
| ~ spl0_10
| ~ spl0_105
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f11234,f137]) ).
thf(f11238,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_105
| ~ spl0_292 ),
inference(avatar_contradiction_clause,[],[f11237]) ).
thf(f11275,definition,
( spl0_298
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
thf(f11276,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f11275]) ).
thf(f11277,plain,
( spl0_298
| ~ spl0_185
| ~ spl0_136
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f11070,f4396,f3765,f5069,f11275]) ).
thf(f11371,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_195
| ~ spl0_280 ),
inference(constrained_superposition,[],[f9099,f5132]) ).
thf(f11392,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_195
| ~ spl0_280 ),
inference(trivial_inequality_removal,[],[f11371]) ).
thf(f11401,plain,
( spl0_203
| ~ spl0_195
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f11392,f9098,f5131,f5440]) ).
thf(f11449,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_154
| ~ spl0_291 ),
inference(constrained_superposition,[],[f11085,f4407]) ).
thf(f11474,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_154
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f11449]) ).
thf(f11483,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_154
| ~ spl0_224
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f11474,f5852]) ).
thf(f11489,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_154
| ~ spl0_224
| ~ spl0_291 ),
inference(constrained_superposition,[],[f11483,f664]) ).
thf(f11499,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ X0 ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_1
| ~ spl0_154
| ~ spl0_224
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f11489]) ).
thf(f11504,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( b @ z @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_154
| spl0_185
| ~ spl0_224
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f11499,f5551]) ).
thf(f11505,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_1
| ~ spl0_23
| ~ spl0_154
| spl0_185
| ~ spl0_224
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f11504,f471]) ).
thf(f11507,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_23
| ~ spl0_48
| ~ spl0_154
| spl0_185
| ~ spl0_224
| ~ spl0_291 ),
inference(constrained_superposition,[],[f11505,f2301]) ).
thf(f11509,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_1
| ~ spl0_23
| ~ spl0_48
| ~ spl0_154
| spl0_185
| ~ spl0_224
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f11507]) ).
thf(f11512,plain,
( spl0_166
| ~ spl0_1
| ~ spl0_23
| ~ spl0_48
| ~ spl0_154
| spl0_185
| ~ spl0_224
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f11509,f11084,f5851,f5069,f4406,f1024,f470,f66,f4724]) ).
thf(f11515,definition,
( spl0_299
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_299])],[avatar_definition]) ).
thf(f11516,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_299 ),
inference(avatar_component_clause,[],[f11515]) ).
thf(f11517,plain,
( spl0_299
| ~ spl0_66
| ~ spl0_155
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f10834,f5846,f4410,f1503,f11515]) ).
thf(f11530,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_40
| spl0_44 ),
inference(forward_subsumption_resolution,[],[f4375,f1635]) ).
thf(f11546,plain,
( spl0_136
| spl0_149
| ~ spl0_1
| spl0_40
| spl0_44 ),
inference(avatar_split_clause,[],[f11530,f975,f957,f66,f4389,f3765]) ).
thf(f11549,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_48
| ~ spl0_243 ),
inference(forward_subsumption_resolution,[],[f10569,f2301]) ).
thf(f11555,definition,
( spl0_305
<=> ! [X2: $i] :
( ( z = X2 )
| ( ( b @ z @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
thf(f11556,plain,
( ! [X2: $i] :
( ( ( b @ z @ X2 )
= $true )
| ( z = X2 ) )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f11555]) ).
thf(f11569,plain,
( spl0_169
| ~ spl0_4
| ~ spl0_48
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f11549,f6103,f1024,f81,f4739]) ).
thf(f11571,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f134,f30]) ).
thf(f11572,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( b @ z @ X0 )
= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f11571]) ).
thf(f11573,plain,
( spl0_305
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f11572,f133,f11555]) ).
thf(f11608,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f40,f965]) ).
thf(f11616,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( X0 = X1 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
= $true ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f11608]) ).
thf(f11626,plain,
( $false
| ~ spl0_9
| ~ spl0_169 ),
inference(forward_subsumption_resolution,[],[f4740,f134]) ).
thf(f11627,plain,
( ~ spl0_9
| ~ spl0_169 ),
inference(avatar_contradiction_clause,[],[f11626]) ).
thf(f11646,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_179
| ~ spl0_223 ),
inference(constrained_superposition,[],[f5847,f4880]) ).
thf(f11654,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_179
| ~ spl0_223 ),
inference(duplicate_literal_removal,[],[f11646]) ).
thf(f11655,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_179
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f11654]) ).
thf(f11659,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_4
| ~ spl0_179
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f11655,f7850]) ).
thf(f11661,plain,
( spl0_140
| ~ spl0_4
| ~ spl0_179
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f11659,f5846,f4879,f81,f4021]) ).
thf(f11674,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f28,f5844]) ).
thf(f11677,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f11674]) ).
thf(f11691,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_186
| ~ spl0_219 ),
inference(constrained_superposition,[],[f5830,f5074]) ).
thf(f11698,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_186
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f11691]) ).
thf(f11699,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_4
| ~ spl0_186
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f11698,f7850]) ).
thf(f11700,plain,
( spl0_299
| ~ spl0_4
| ~ spl0_186
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f11699,f5829,f5073,f81,f11515]) ).
thf(f11730,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f468,f36]) ).
thf(f11734,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f11730]) ).
thf(f11741,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_149
| ~ spl0_291 ),
inference(constrained_superposition,[],[f11085,f4390]) ).
thf(f11746,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_91
| ~ spl0_149 ),
inference(constrained_superposition,[],[f2298,f4390]) ).
thf(f11748,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_149 ),
inference(constrained_superposition,[],[f29,f4390]) ).
thf(f11751,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f11748]) ).
thf(f11752,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_91
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f11746]) ).
thf(f11753,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_149
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f11741]) ).
thf(f11890,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_153 ),
inference(constrained_superposition,[],[f28,f4404]) ).
thf(f11891,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f11890]) ).
thf(f11931,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_153
| ~ spl0_222 ),
inference(constrained_superposition,[],[f11677,f4404]) ).
thf(f11933,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_153
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f11931]) ).
thf(f11937,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_211 ),
inference(avatar_component_clause,[],[f5790]) ).
thf(f11938,plain,
( spl0_193
| ~ spl0_211
| ~ spl0_153
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f11933,f5843,f4403,f5790,f5122]) ).
thf(f11947,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_105 ),
inference(constrained_superposition,[],[f29,f5894]) ).
thf(f11954,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f11947]) ).
thf(f11983,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_186 ),
inference(constrained_superposition,[],[f141,f5074]) ).
thf(f12000,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f11983]) ).
thf(f12008,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_153 ),
inference(constrained_superposition,[],[f11891,f35]) ).
thf(f12013,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f12008]) ).
thf(f12016,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_153
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f12013,f5551]) ).
thf(f12017,plain,
( ~ spl0_150
| spl0_9
| ~ spl0_153
| spl0_185 ),
inference(avatar_split_clause,[],[f12016,f5069,f4403,f133,f4392]) ).
thf(f12021,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_154
| ~ spl0_161 ),
inference(constrained_superposition,[],[f4645,f4407]) ).
thf(f12032,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_154
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f12021]) ).
thf(f12042,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_154
| ~ spl0_161
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f12032,f5074]) ).
thf(f12049,plain,
( ~ spl0_224
| ~ spl0_154
| ~ spl0_161
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f12042,f5073,f4644,f4406,f5851]) ).
thf(f12123,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_149
| ~ spl0_155 ),
inference(constrained_superposition,[],[f10511,f4390]) ).
thf(f12126,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_149
| ~ spl0_155 ),
inference(duplicate_literal_removal,[],[f12123]) ).
thf(f12127,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_149
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f12126]) ).
thf(f12133,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_149
| ~ spl0_155 ),
inference(constrained_superposition,[],[f12127,f34]) ).
thf(f12137,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_149
| ~ spl0_151
| ~ spl0_155 ),
inference(constrained_superposition,[],[f12127,f4397]) ).
thf(f12141,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_149
| ~ spl0_151
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f12137]) ).
thf(f12142,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_149
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f12133]) ).
thf(f12150,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_149
| ~ spl0_151
| ~ spl0_155
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f12141,f5078]) ).
thf(f12155,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_149
| ~ spl0_151
| ~ spl0_155
| ~ spl0_187 ),
inference(constrained_superposition,[],[f12150,f4397]) ).
thf(f12159,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_149
| ~ spl0_151
| ~ spl0_155
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f12155]) ).
thf(f12163,plain,
( $false
| ~ spl0_149
| ~ spl0_151
| ~ spl0_155
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f12159,f4411]) ).
thf(f12164,plain,
( ~ spl0_149
| ~ spl0_151
| ~ spl0_155
| ~ spl0_187 ),
inference(avatar_contradiction_clause,[],[f12163]) ).
thf(f12166,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_4
| ~ spl0_11
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f12000,f7850]) ).
thf(f12175,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_48
| ~ spl0_149
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f12142,f2301]) ).
thf(f12177,plain,
( spl0_261
| ~ spl0_4
| ~ spl0_11
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f12166,f5073,f140,f81,f6722]) ).
thf(f12181,plain,
( spl0_169
| spl0_207
| ~ spl0_48
| ~ spl0_149
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f12175,f4410,f4389,f1024,f5710,f4739]) ).
thf(f12184,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_179 ),
inference(constrained_superposition,[],[f141,f4880]) ).
thf(f12186,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl0_179 ),
inference(constrained_superposition,[],[f29,f4880]) ).
thf(f12187,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f12186]) ).
thf(f12190,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f12184]) ).
thf(f12191,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_11
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f12190,f7850]) ).
thf(f12192,plain,
( spl0_236
| ~ spl0_4
| ~ spl0_11
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f12191,f4879,f140,f81,f6047]) ).
thf(f12199,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_236 ),
inference(constrained_superposition,[],[f28,f6048]) ).
thf(f12202,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f12199]) ).
thf(f12209,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_186 ),
inference(constrained_superposition,[],[f8173,f34]) ).
thf(f12211,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_186 ),
inference(trivial_inequality_removal,[],[f12209]) ).
thf(f12213,plain,
( $false
| ~ spl0_9
| spl0_186 ),
inference(forward_subsumption_resolution,[],[f12211,f134]) ).
thf(f12214,plain,
( ~ spl0_9
| spl0_186 ),
inference(avatar_contradiction_clause,[],[f12213]) ).
thf(f12234,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f28,f4416]) ).
thf(f12241,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f12234]) ).
thf(f12272,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_151 ),
inference(constrained_superposition,[],[f141,f4397]) ).
thf(f12274,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f29,f4397]) ).
thf(f12276,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f12274]) ).
thf(f12278,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f12272]) ).
thf(f12352,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_151
| ~ spl0_203 ),
inference(constrained_superposition,[],[f5441,f4397]) ).
thf(f12358,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_151
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f12352]) ).
thf(f12359,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_151
| ~ spl0_179
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f12358,f4880]) ).
thf(f12360,plain,
( $false
| ~ spl0_105
| ~ spl0_151
| ~ spl0_179
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f12359,f5894]) ).
thf(f12361,plain,
( ~ spl0_105
| ~ spl0_151
| ~ spl0_179
| ~ spl0_203 ),
inference(avatar_contradiction_clause,[],[f12360]) ).
thf(f12362,plain,
( ( $true != $true )
| ~ spl0_9
| ~ spl0_197 ),
inference(constrained_superposition,[],[f134,f5247]) ).
thf(f12365,plain,
( $false
| ~ spl0_9
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f12362]) ).
thf(f12366,plain,
( ~ spl0_9
| ~ spl0_197 ),
inference(avatar_contradiction_clause,[],[f12365]) ).
thf(f12378,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_153
| ~ spl0_236 ),
inference(constrained_superposition,[],[f12202,f4404]) ).
thf(f12393,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_153
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f12378]) ).
thf(f12398,plain,
( ~ spl0_211
| spl0_193
| ~ spl0_153
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f12393,f6047,f4403,f5122,f5790]) ).
thf(f12420,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_156
| ~ spl0_236 ),
inference(constrained_superposition,[],[f12241,f6048]) ).
thf(f12423,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_156
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f12420]) ).
thf(f12427,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ X0 )
!= $true )
| ~ spl0_42
| ~ spl0_156
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f12423,f965]) ).
thf(f12429,plain,
( spl0_7
| ~ spl0_42
| ~ spl0_156
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f12427,f6047,f4415,f964,f114]) ).
thf(f12432,plain,
( spl0_52
| ~ spl0_75
| ~ spl0_149
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f11753,f11084,f4389,f1655,f1037]) ).
thf(f12433,plain,
( $false
| ~ spl0_9
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f1043,f134]) ).
thf(f12434,plain,
( ~ spl0_9
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f12433]) ).
thf(f12439,plain,
( spl0_162
| ~ spl0_160
| ~ spl0_91
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f11752,f4389,f2297,f4640,f4648]) ).
thf(f12452,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f29,f958]) ).
thf(f12453,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f12452]) ).
thf(f12486,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( X0 = X1 ) )
| ~ spl0_169 ),
inference(constrained_superposition,[],[f40,f4740]) ).
thf(f12491,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
= $true ) )
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f12486]) ).
thf(f12640,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_154 ),
inference(constrained_superposition,[],[f141,f4407]) ).
thf(f12644,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f12640]) ).
thf(f12734,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_260 ),
inference(constrained_superposition,[],[f6674,f34]) ).
thf(f12743,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f12734]) ).
thf(f12760,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_179
| ~ spl0_277 ),
inference(constrained_superposition,[],[f8513,f4880]) ).
thf(f12771,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_179
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f12760]) ).
thf(f12781,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_4
| ~ spl0_179
| ~ spl0_277 ),
inference(forward_subsumption_resolution,[],[f12771,f7850]) ).
thf(f12786,plain,
( spl0_299
| ~ spl0_4
| ~ spl0_179
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f12781,f8512,f4879,f81,f11515]) ).
thf(f12804,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f12453,f958]) ).
thf(f12814,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_40 ),
inference(duplicate_literal_removal,[],[f12804]) ).
thf(f12815,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f12814]) ).
thf(f12817,definition,
( spl0_314
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).
thf(f12818,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f12817]) ).
thf(f12819,plain,
( spl0_23
| spl0_314
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f12815,f957,f12817,f470]) ).
thf(f12822,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_314 ),
inference(constrained_superposition,[],[f12818,f56]) ).
thf(f12831,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f12822]) ).
thf(f12838,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_151
| ~ spl0_227 ),
inference(constrained_superposition,[],[f5864,f4397]) ).
thf(f12841,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_151
| ~ spl0_227 ),
inference(duplicate_literal_removal,[],[f12838]) ).
thf(f12842,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_151
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f12841]) ).
thf(f12846,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_105
| ~ spl0_151
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f12842,f5894]) ).
thf(f12847,plain,
( spl0_272
| ~ spl0_105
| ~ spl0_151
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f12846,f5863,f4396,f2866,f7285]) ).
thf(f12852,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_149
| ~ spl0_179 ),
inference(constrained_superposition,[],[f12187,f4390]) ).
thf(f12855,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_149
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f12852]) ).
thf(f12862,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_105
| ~ spl0_149
| ~ spl0_179 ),
inference(constrained_superposition,[],[f12855,f5894]) ).
thf(f12865,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_149
| ~ spl0_155
| ~ spl0_179 ),
inference(constrained_superposition,[],[f12855,f4411]) ).
thf(f12876,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_149
| ~ spl0_155
| ~ spl0_179 ),
inference(duplicate_literal_removal,[],[f12865]) ).
thf(f12877,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_149
| ~ spl0_155
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f12876]) ).
thf(f12880,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_105
| ~ spl0_149
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f12862]) ).
thf(f12881,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_40
| ~ spl0_149
| ~ spl0_155
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f12877,f958]) ).
thf(f12882,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_10
| ~ spl0_105
| ~ spl0_149
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f12880,f137]) ).
thf(f12883,plain,
( spl0_207
| ~ spl0_40
| ~ spl0_149
| ~ spl0_155
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f12881,f4879,f4410,f4389,f957,f5710]) ).
thf(f12884,plain,
( spl0_299
| ~ spl0_10
| ~ spl0_105
| ~ spl0_149
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f12882,f4879,f4389,f2866,f136,f11515]) ).
thf(f12895,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_105
| ~ spl0_154 ),
inference(constrained_superposition,[],[f11954,f4407]) ).
thf(f12898,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_105
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f12895]) ).
thf(f12904,plain,
( spl0_227
| ~ spl0_105
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f12898,f4406,f2866,f5863]) ).
thf(f12924,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_149
| ~ spl0_151 ),
inference(constrained_superposition,[],[f11751,f4397]) ).
thf(f12931,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_149
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f12924]) ).
thf(f12979,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f12276,f4397]) ).
thf(f12980,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_151 ),
inference(duplicate_literal_removal,[],[f12979]) ).
thf(f12981,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f12980]) ).
thf(f12987,definition,
( spl0_315
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_315])],[avatar_definition]) ).
thf(f12988,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f12987]) ).
thf(f12989,plain,
( spl0_289
| spl0_315
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f12981,f4396,f12987,f10392]) ).
thf(f13020,definition,
( spl0_317
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( X1 = X2 )
| ( ( r @ X2 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
thf(f13021,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
= $true )
| ( X1 = X2 )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f13020]) ).
thf(f13093,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_136
| ~ spl0_233 ),
inference(constrained_superposition,[],[f6840,f5891]) ).
thf(f13113,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_136
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f13093]) ).
thf(f13118,plain,
( spl0_135
| spl0_136
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f13113,f5890,f3765,f3762]) ).
thf(f13155,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_136
| ~ spl0_170 ),
inference(constrained_superposition,[],[f6840,f4770]) ).
thf(f13178,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_136
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f13155]) ).
thf(f13187,plain,
( $false
| spl0_136
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[],[f13178,f25]) ).
thf(f13188,plain,
( spl0_136
| ~ spl0_170 ),
inference(avatar_contradiction_clause,[],[f13187]) ).
thf(f13189,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_6
| spl0_211 ),
inference(constrained_superposition,[],[f11937,f111]) ).
thf(f13196,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_6
| spl0_211 ),
inference(trivial_inequality_removal,[],[f13189]) ).
thf(f13203,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_6
| spl0_185
| spl0_211 ),
inference(forward_subsumption_resolution,[],[f13196,f5551]) ).
thf(f13208,plain,
( $false
| ~ spl0_6
| spl0_185
| spl0_211 ),
inference(forward_subsumption_resolution,[],[f13203,f25]) ).
thf(f13209,plain,
( ~ spl0_6
| spl0_185
| spl0_211 ),
inference(avatar_contradiction_clause,[],[f13208]) ).
thf(f13219,plain,
( spl0_317
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f12491,f4739,f13020]) ).
thf(f13222,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X1 ) @ z )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) )
| ~ spl0_317 ),
inference(extensionality_resolution,[],[f13021,f26]) ).
thf(f13269,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_108 ),
inference(constrained_superposition,[],[f2916,f30]) ).
thf(f13272,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f13269]) ).
thf(f13325,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f825,f7278]) ).
thf(f13339,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f13325]) ).
thf(f13353,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_42
| ~ spl0_271 ),
inference(forward_subsumption_resolution,[],[f13339,f965]) ).
thf(f13359,definition,
( spl0_323
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_323])],[avatar_definition]) ).
thf(f13360,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_323 ),
inference(avatar_component_clause,[],[f13359]) ).
thf(f13361,plain,
( spl0_323
| spl0_7
| ~ spl0_42
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f13353,f7277,f964,f114,f13359]) ).
thf(f13381,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_54
| spl0_160 ),
inference(constrained_superposition,[],[f4641,f1048]) ).
thf(f13397,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_54
| spl0_160 ),
inference(trivial_inequality_removal,[],[f13381]) ).
thf(f13411,plain,
( $false
| ~ spl0_54
| spl0_136
| spl0_160 ),
inference(forward_subsumption_resolution,[],[f13397,f6840]) ).
thf(f13412,plain,
( ~ spl0_54
| spl0_136
| spl0_160 ),
inference(avatar_contradiction_clause,[],[f13411]) ).
thf(f13485,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_151
| ~ spl0_289 ),
inference(constrained_superposition,[],[f10393,f4397]) ).
thf(f13486,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_155
| ~ spl0_289 ),
inference(constrained_superposition,[],[f10393,f4411]) ).
thf(f13491,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_151
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f13485]) ).
thf(f13498,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_155
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f13486]) ).
thf(f13499,plain,
( $false
| ~ spl0_151
| ~ spl0_154
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f13491,f4407]) ).
thf(f13500,plain,
( ~ spl0_151
| ~ spl0_154
| ~ spl0_289 ),
inference(avatar_contradiction_clause,[],[f13499]) ).
thf(f13503,plain,
( $false
| ~ spl0_149
| ~ spl0_155
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f13498,f4390]) ).
thf(f13504,plain,
( ~ spl0_149
| ~ spl0_155
| ~ spl0_289 ),
inference(avatar_contradiction_clause,[],[f13503]) ).
thf(f13508,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_315 ),
inference(constrained_superposition,[],[f12988,f34]) ).
thf(f13509,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_224
| ~ spl0_315 ),
inference(constrained_superposition,[],[f12988,f5852]) ).
thf(f13510,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_315 ),
inference(constrained_superposition,[],[f12988,f56]) ).
thf(f13516,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_224
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f13509]) ).
thf(f13517,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f13508]) ).
thf(f13520,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f13510]) ).
thf(f13531,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39
| spl0_187 ),
inference(constrained_superposition,[],[f7482,f953]) ).
thf(f13548,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39
| spl0_187 ),
inference(trivial_inequality_removal,[],[f13531]) ).
thf(f13553,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39
| spl0_185
| spl0_187 ),
inference(forward_subsumption_resolution,[],[f13548,f5551]) ).
thf(f13556,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39
| spl0_185
| spl0_187 ),
inference(forward_subsumption_resolution,[],[f13553,f25]) ).
thf(f13559,plain,
( spl0_194
| ~ spl0_39
| spl0_185
| spl0_187 ),
inference(avatar_split_clause,[],[f13556,f5077,f5069,f952,f5128]) ).
thf(f13655,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_22
| ~ spl0_190 ),
inference(constrained_superposition,[],[f11734,f5111]) ).
thf(f13672,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_22
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f13655]) ).
thf(f13688,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_22
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f13672,f25]) ).
thf(f13698,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_22
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f13688,f25]) ).
thf(f13700,plain,
( spl0_261
| ~ spl0_22
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f13698,f5110,f467,f6722]) ).
thf(f13806,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_97
| spl0_187 ),
inference(constrained_superposition,[],[f7482,f2544]) ).
thf(f13815,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97
| spl0_187 ),
inference(trivial_inequality_removal,[],[f13806]) ).
thf(f13826,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f5437]) ).
thf(f13827,plain,
( spl0_225
| spl0_202
| spl0_194
| ~ spl0_97
| spl0_187 ),
inference(avatar_split_clause,[],[f13815,f5077,f2543,f5128,f5437,f5854]) ).
thf(f13840,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_86
| ~ spl0_202 ),
inference(constrained_superposition,[],[f2215,f13826]) ).
thf(f13843,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f29,f13826]) ).
thf(f13851,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f13843]) ).
thf(f13854,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_86
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f13840]) ).
thf(f13857,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_86
| spl0_186
| ~ spl0_202 ),
inference(forward_subsumption_resolution,[],[f13854,f8173]) ).
thf(f13858,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_86
| spl0_186
| ~ spl0_202 ),
inference(forward_subsumption_resolution,[],[f13857,f25]) ).
thf(f13859,plain,
( spl0_194
| ~ spl0_86
| spl0_186
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f13858,f5437,f5073,f2214,f5128]) ).
thf(f13879,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f13851,f13826]) ).
thf(f13884,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_202 ),
inference(duplicate_literal_removal,[],[f13879]) ).
thf(f13885,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f13884]) ).
thf(f13895,definition,
( spl0_325
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).
thf(f13896,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f13895]) ).
thf(f13897,plain,
( spl0_3
| spl0_325
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f13885,f5437,f13895,f78]) ).
thf(f14108,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ X0 @ z ) ) )
| ~ spl0_11
| ~ spl0_209 ),
inference(constrained_superposition,[],[f141,f5718]) ).
thf(f14127,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( b @ X0 @ z ) ) )
| ~ spl0_11
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f14108]) ).
thf(f14336,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| ~ spl0_229 ),
inference(constrained_superposition,[],[f5872,f965]) ).
thf(f14339,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f14336]) ).
thf(f14343,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_33
| spl0_187 ),
inference(constrained_superposition,[],[f7482,f851]) ).
thf(f14368,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_33
| spl0_187 ),
inference(trivial_inequality_removal,[],[f14343]) ).
thf(f14370,plain,
( $false
| ~ spl0_33
| spl0_185
| spl0_187 ),
inference(forward_subsumption_resolution,[],[f14368,f5551]) ).
thf(f14371,plain,
( ~ spl0_33
| spl0_185
| spl0_187 ),
inference(avatar_contradiction_clause,[],[f14370]) ).
thf(f14389,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X3 @ X1 )
!= $true ) )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f29,f13360]) ).
thf(f14400,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f14389]) ).
thf(f14431,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f14400,f13360]) ).
thf(f14443,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_323 ),
inference(duplicate_literal_removal,[],[f14431]) ).
thf(f14444,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f14443]) ).
thf(f14470,definition,
( spl0_330
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).
thf(f14471,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_330 ),
inference(avatar_component_clause,[],[f14470]) ).
thf(f14472,plain,
( spl0_57
| spl0_330
| ~ spl0_323 ),
inference(avatar_split_clause,[],[f14444,f13359,f14470,f1191]) ).
thf(f14481,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f14471,f34]) ).
thf(f14503,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_330 ),
inference(duplicate_literal_removal,[],[f14481]) ).
thf(f14504,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f14503]) ).
thf(f14509,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_48
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f14504,f2301]) ).
thf(f14516,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_48
| ~ spl0_330 ),
inference(constrained_superposition,[],[f28,f14509]) ).
thf(f14518,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_48
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f14516]) ).
thf(f14557,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X1 ) @ z )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) )
| ~ spl0_317 ),
inference(constrained_superposition,[],[f13222,f35]) ).
thf(f14559,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f14557]) ).
thf(f14562,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_44
| ~ spl0_317 ),
inference(extensionality_resolution,[],[f14559,f4350]) ).
thf(f14568,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( $true
= ( b @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( X0 = X1 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_317 ),
inference(constrained_superposition,[],[f14559,f35]) ).
thf(f14570,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
= ( b @ ( s @ X1 ) @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f14568]) ).
thf(f14573,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_44
| ~ spl0_317 ),
inference(extensionality_resolution,[],[f14570,f4350]) ).
thf(f14574,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_44
| ~ spl0_317 ),
inference(extensionality_resolution,[],[f14570,f4350]) ).
thf(f14602,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_317
| ~ spl0_325 ),
inference(constrained_superposition,[],[f13896,f14570]) ).
thf(f14604,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ X2 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_149
| ~ spl0_317 ),
inference(constrained_superposition,[],[f11751,f14570]) ).
thf(f14612,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ X0 ) @ X2 )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true ) )
| ~ spl0_149
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f14604]) ).
thf(f14631,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_317
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f14602]) ).
thf(f14638,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ ( s @ X0 ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| spl0_136
| ~ spl0_149
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f14612,f6840]) ).
thf(f14644,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_22
| ~ spl0_317
| ~ spl0_325 ),
inference(forward_subsumption_resolution,[],[f14631,f468]) ).
thf(f14648,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ X0 ) @ X2 )
!= $true ) )
| spl0_136
| ~ spl0_149
| ~ spl0_314
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f14638,f12818]) ).
thf(f14654,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_22
| spl0_185
| ~ spl0_317
| ~ spl0_325 ),
inference(forward_subsumption_resolution,[],[f14644,f5551]) ).
thf(f14655,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_22
| spl0_185
| ~ spl0_317
| ~ spl0_325 ),
inference(constrained_superposition,[],[f14654,f55]) ).
thf(f14663,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_22
| spl0_185
| ~ spl0_317
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f14655]) ).
thf(f14691,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X1 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ X1 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| spl0_136
| ~ spl0_149
| ~ spl0_314
| ~ spl0_317 ),
inference(constrained_superposition,[],[f14648,f4390]) ).
thf(f14712,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ X1 ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_136
| ~ spl0_149
| ~ spl0_314
| ~ spl0_317 ),
inference(duplicate_literal_removal,[],[f14691]) ).
thf(f14713,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ X1 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X1 ) )
| spl0_136
| ~ spl0_149
| ~ spl0_314
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f14712]) ).
thf(f14726,definition,
( spl0_335
<=> ! [X1: $i] :
( ( ( b @ ( s @ X1 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_335])],[avatar_definition]) ).
thf(f14727,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ X1 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_335 ),
inference(avatar_component_clause,[],[f14726]) ).
thf(f14728,plain,
( spl0_57
| spl0_335
| spl0_136
| ~ spl0_149
| ~ spl0_314
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f14713,f13020,f12817,f4389,f3765,f14726,f1191]) ).
thf(f14735,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_335 ),
inference(constrained_superposition,[],[f14727,f36]) ).
thf(f14746,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f14735]) ).
thf(f14874,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_22
| spl0_185
| ~ spl0_317
| ~ spl0_325 ),
inference(constrained_superposition,[],[f28,f14663]) ).
thf(f14889,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_22
| spl0_185
| ~ spl0_317
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f14874]) ).
thf(f14910,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_22
| spl0_185
| ~ spl0_317
| ~ spl0_325
| ~ spl0_335 ),
inference(constrained_superposition,[],[f14889,f14746]) ).
thf(f14915,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_22
| spl0_185
| ~ spl0_317
| ~ spl0_325
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f14910]) ).
thf(f14924,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_35
| spl0_185
| ~ spl0_317
| ~ spl0_325
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f14915,f907]) ).
thf(f14927,definition,
( spl0_344
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_344])],[avatar_definition]) ).
thf(f14928,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_344 ),
inference(avatar_component_clause,[],[f14927]) ).
thf(f14929,plain,
( spl0_344
| spl0_30
| ~ spl0_22
| ~ spl0_35
| spl0_185
| ~ spl0_317
| ~ spl0_325
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f14924,f14726,f13895,f13020,f5069,f906,f467,f839,f14927]) ).
thf(f15003,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_154
| ~ spl0_344 ),
inference(constrained_superposition,[],[f4407,f14928]) ).
thf(f15158,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f7237]) ).
thf(f15179,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ z ) )
| spl0_166 ),
inference(avatar_component_clause,[],[f4724]) ).
thf(f15185,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_154
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f15003,f31]) ).
thf(f15192,definition,
( spl0_351
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_351])],[avatar_definition]) ).
thf(f15193,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_351 ),
inference(avatar_component_clause,[],[f15192]) ).
thf(f15201,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_135 ),
inference(avatar_component_clause,[],[f3762]) ).
thf(f15220,plain,
( spl0_194
| spl0_225
| ~ spl0_154
| ~ spl0_344 ),
inference(avatar_split_clause,[],[f15185,f14927,f4406,f5854,f5128]) ).
thf(f15240,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_22
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[],[f14127,f468]) ).
thf(f15241,plain,
( spl0_261
| ~ spl0_160
| ~ spl0_11
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f12644,f4406,f140,f4640,f6722]) ).
thf(f15249,definition,
( spl0_359
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_359])],[avatar_definition]) ).
thf(f15250,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_359 ),
inference(avatar_component_clause,[],[f15249]) ).
thf(f15251,plain,
( spl0_359
| ~ spl0_187
| ~ spl0_149
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f12931,f4396,f4389,f5077,f15249]) ).
thf(f15258,plain,
( spl0_236
| ~ spl0_202
| ~ spl0_11
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f12278,f4396,f140,f5437,f6047]) ).
thf(f15259,plain,
( ~ spl0_105
| ~ spl0_224
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f13516,f12987,f5851,f2866]) ).
thf(f15269,definition,
( spl0_362
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_362])],[avatar_definition]) ).
thf(f15270,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_362 ),
inference(avatar_component_clause,[],[f15269]) ).
thf(f15271,plain,
( spl0_236
| spl0_362
| ~ spl0_11
| ~ spl0_22
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f15240,f5717,f467,f140,f15269,f6047]) ).
thf(f15285,plain,
( spl0_211
| ~ spl0_105
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f13520,f12987,f2866,f5790]) ).
thf(f15286,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_166
| ~ spl0_317 ),
inference(extensionality_resolution,[],[f14570,f15179]) ).
thf(f15293,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_42
| spl0_166 ),
inference(extensionality_resolution,[],[f11616,f15179]) ).
thf(f15298,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_166 ),
inference(extensionality_resolution,[],[f53,f15179]) ).
thf(f15299,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_166 ),
inference(extensionality_resolution,[],[f53,f15179]) ).
thf(f15300,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| spl0_166 ),
inference(extensionality_resolution,[],[f40,f15179]) ).
thf(f15301,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl0_166 ),
inference(extensionality_resolution,[],[f40,f15179]) ).
thf(f15303,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_166 ),
inference(extensionality_resolution,[],[f36,f15179]) ).
thf(f15306,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f5119]) ).
thf(f15307,plain,
( spl0_192
| spl0_195
| spl0_166 ),
inference(avatar_split_clause,[],[f15303,f4724,f5131,f5119]) ).
thf(f15309,definition,
( spl0_365
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_365])],[avatar_definition]) ).
thf(f15310,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_365 ),
inference(avatar_component_clause,[],[f15309]) ).
thf(f15311,plain,
( spl0_105
| spl0_365
| spl0_166 ),
inference(avatar_split_clause,[],[f15301,f4724,f15309,f2866]) ).
thf(f15313,plain,
( spl0_160
| spl0_365
| spl0_166 ),
inference(avatar_split_clause,[],[f15300,f4724,f15309,f4640]) ).
thf(f15315,definition,
( spl0_366
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
thf(f15316,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f15315]) ).
thf(f15318,definition,
( spl0_367
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_367])],[avatar_definition]) ).
thf(f15319,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_367 ),
inference(avatar_component_clause,[],[f15318]) ).
thf(f15320,plain,
( spl0_366
| spl0_367
| spl0_166 ),
inference(avatar_split_clause,[],[f15298,f4724,f15318,f15315]) ).
thf(f15323,definition,
( spl0_368
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_368])],[avatar_definition]) ).
thf(f15324,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f15323]) ).
thf(f15326,definition,
( spl0_369
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_369])],[avatar_definition]) ).
thf(f15327,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_369 ),
inference(avatar_component_clause,[],[f15326]) ).
thf(f15328,plain,
( spl0_368
| spl0_369
| spl0_166 ),
inference(avatar_split_clause,[],[f15299,f4724,f15326,f15323]) ).
thf(f15353,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_135
| ~ spl0_317 ),
inference(extensionality_resolution,[],[f13021,f15201]) ).
thf(f15354,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_135 ),
inference(extensionality_resolution,[],[f53,f15201]) ).
thf(f15355,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_135 ),
inference(extensionality_resolution,[],[f53,f15201]) ).
thf(f15356,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl0_135 ),
inference(extensionality_resolution,[],[f40,f15201]) ).
thf(f15358,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_135 ),
inference(extensionality_resolution,[],[f36,f15201]) ).
thf(f15359,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_135 ),
inference(extensionality_resolution,[],[f36,f15201]) ).
thf(f15361,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_135 ),
inference(extensionality_resolution,[],[f30,f15201]) ).
thf(f15363,definition,
( spl0_370
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_370])],[avatar_definition]) ).
thf(f15364,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_370 ),
inference(avatar_component_clause,[],[f15363]) ).
thf(f15366,definition,
( spl0_371
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_371])],[avatar_definition]) ).
thf(f15367,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_371 ),
inference(avatar_component_clause,[],[f15366]) ).
thf(f15368,plain,
( spl0_370
| spl0_371
| spl0_135 ),
inference(avatar_split_clause,[],[f15355,f3762,f15366,f15363]) ).
thf(f15369,plain,
( spl0_351
| spl0_155
| spl0_135 ),
inference(avatar_split_clause,[],[f15356,f3762,f4410,f15192]) ).
thf(f15371,plain,
( spl0_155
| spl0_156
| spl0_135 ),
inference(avatar_split_clause,[],[f15361,f3762,f4415,f4410]) ).
thf(f15373,definition,
( spl0_372
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_372])],[avatar_definition]) ).
thf(f15374,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_372 ),
inference(avatar_component_clause,[],[f15373]) ).
thf(f15376,definition,
( spl0_373
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_373])],[avatar_definition]) ).
thf(f15377,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_373 ),
inference(avatar_component_clause,[],[f15376]) ).
thf(f15378,plain,
( spl0_372
| spl0_373
| spl0_135 ),
inference(avatar_split_clause,[],[f15354,f3762,f15376,f15373]) ).
thf(f15413,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_236 ),
inference(constrained_superposition,[],[f7115,f30]) ).
thf(f15414,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_236 ),
inference(trivial_inequality_removal,[],[f15413]) ).
thf(f15416,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_166
| spl0_236 ),
inference(forward_subsumption_resolution,[],[f15414,f15179]) ).
thf(f15417,plain,
( spl0_160
| spl0_166
| spl0_236 ),
inference(avatar_split_clause,[],[f15416,f6047,f4724,f4640]) ).
thf(f15440,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_156
| ~ spl0_262 ),
inference(constrained_superposition,[],[f6746,f4416]) ).
thf(f15452,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_156
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f15440]) ).
thf(f15457,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_44
| ~ spl0_156
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f15452,f4350]) ).
thf(f15460,plain,
( $false
| spl0_44
| spl0_75
| ~ spl0_156
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f15457,f1656]) ).
thf(f15461,plain,
( spl0_44
| spl0_75
| ~ spl0_156
| ~ spl0_262 ),
inference(avatar_contradiction_clause,[],[f15460]) ).
thf(f15505,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_96
| ~ spl0_261 ),
inference(constrained_superposition,[],[f2539,f6723]) ).
thf(f15510,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_96
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f15505]) ).
thf(f15523,plain,
( spl0_194
| spl0_195
| ~ spl0_96
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f15510,f6722,f2538,f5131,f5128]) ).
thf(f15557,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_266 ),
inference(constrained_superposition,[],[f28,f15158]) ).
thf(f15565,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f15557]) ).
thf(f15572,plain,
( spl0_351
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f15565,f7237,f15192]) ).
thf(f15579,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_187
| ~ spl0_335 ),
inference(constrained_superposition,[],[f14727,f5078]) ).
thf(f15592,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_187
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f15579]) ).
thf(f15597,plain,
( $false
| spl0_135
| ~ spl0_187
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f15592,f15201]) ).
thf(f15598,plain,
( spl0_135
| ~ spl0_187
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f15597]) ).
thf(f15599,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| spl0_135
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f14339,f15201]) ).
thf(f15601,plain,
( spl0_149
| ~ spl0_42
| spl0_135
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f15599,f5871,f3762,f964,f4389]) ).
thf(f15606,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_108
| spl0_149 ),
inference(constrained_superposition,[],[f9086,f13272]) ).
thf(f15607,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_97
| spl0_149 ),
inference(constrained_superposition,[],[f9086,f2544]) ).
thf(f15612,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_108
| spl0_149 ),
inference(trivial_inequality_removal,[],[f15606]) ).
thf(f15617,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_97
| spl0_149 ),
inference(trivial_inequality_removal,[],[f15607]) ).
thf(f15640,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_192
| ~ spl0_216 ),
inference(constrained_superposition,[],[f5815,f15306]) ).
thf(f15655,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_192
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f15640]) ).
thf(f15664,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ~ spl0_192
| ~ spl0_211
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f15655,f5791]) ).
thf(f15666,plain,
( spl0_193
| ~ spl0_192
| ~ spl0_211
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f15664,f5814,f5790,f5119,f5122]) ).
thf(f15799,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_48
| ~ spl0_330
| ~ spl0_366 ),
inference(constrained_superposition,[],[f14518,f15316]) ).
thf(f15809,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_48
| ~ spl0_330
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f15799]) ).
thf(f15819,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_48
| ~ spl0_169
| ~ spl0_330
| ~ spl0_366 ),
inference(forward_subsumption_resolution,[],[f15809,f4740]) ).
thf(f15832,plain,
( spl0_172
| ~ spl0_48
| ~ spl0_169
| ~ spl0_330
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f15819,f15315,f14470,f4739,f1024,f4777]) ).
thf(f15834,definition,
( spl0_384
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_384])],[avatar_definition]) ).
thf(f15835,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_384 ),
inference(avatar_component_clause,[],[f15834]) ).
thf(f15838,definition,
( spl0_385
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_385])],[avatar_definition]) ).
thf(f15839,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_385 ),
inference(avatar_component_clause,[],[f15838]) ).
thf(f15842,definition,
( spl0_386
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_386])],[avatar_definition]) ).
thf(f15843,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_386 ),
inference(avatar_component_clause,[],[f15842]) ).
thf(f16133,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_314
| ~ spl0_384 ),
inference(constrained_superposition,[],[f12818,f15835]) ).
thf(f16145,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_314
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f16133]) ).
thf(f16154,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_385 ),
inference(avatar_component_clause,[],[f15838]) ).
thf(f16156,plain,
( ~ spl0_385
| ~ spl0_314
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f16145,f15834,f12817,f15838]) ).
thf(f16238,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_369 ),
inference(constrained_superposition,[],[f141,f15327]) ).
thf(f16245,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f16238]) ).
thf(f16252,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_315
| ~ spl0_370 ),
inference(constrained_superposition,[],[f12988,f15364]) ).
thf(f16264,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_315
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f16252]) ).
thf(f16270,plain,
( $false
| ~ spl0_315
| ~ spl0_367
| ~ spl0_370 ),
inference(forward_subsumption_resolution,[],[f16264,f15319]) ).
thf(f16271,plain,
( ~ spl0_315
| ~ spl0_367
| ~ spl0_370 ),
inference(avatar_contradiction_clause,[],[f16270]) ).
thf(f16272,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_48
| ~ spl0_330
| ~ spl0_371 ),
inference(constrained_superposition,[],[f14518,f15367]) ).
thf(f16275,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f179,f15367]) ).
thf(f16283,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f16275]) ).
thf(f16290,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_48
| ~ spl0_330
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f16272]) ).
thf(f16299,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ~ spl0_48
| ~ spl0_330
| ~ spl0_371 ),
inference(forward_subsumption_resolution,[],[f16290,f14509]) ).
thf(f16307,plain,
( spl0_193
| ~ spl0_48
| ~ spl0_330
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f16299,f15366,f14470,f1024,f5122]) ).
thf(f16318,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_44
| spl0_136
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f14562,f6840]) ).
thf(f16322,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_44
| spl0_149
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f14574,f9086]) ).
thf(f16324,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_108
| spl0_149
| spl0_166 ),
inference(forward_subsumption_resolution,[],[f15612,f15179]) ).
thf(f16327,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_314 ),
inference(forward_subsumption_resolution,[],[f12831,f137]) ).
thf(f16328,plain,
( spl0_155
| ~ spl0_34
| ~ spl0_150
| spl0_135
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f15353,f13020,f3762,f4392,f884,f4410]) ).
thf(f16330,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| spl0_166
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f15293,f15158]) ).
thf(f16333,definition,
( spl0_401
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_401])],[avatar_definition]) ).
thf(f16334,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_401 ),
inference(avatar_component_clause,[],[f16333]) ).
thf(f16340,plain,
( spl0_386
| ~ spl0_197
| spl0_193
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f16283,f15366,f5122,f5246,f15842]) ).
thf(f16344,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_97
| spl0_135
| spl0_149 ),
inference(forward_subsumption_resolution,[],[f15617,f15201]) ).
thf(f16349,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_166
| spl0_185
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f15286,f5551]) ).
thf(f16351,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_44
| spl0_136
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f14573,f6840]) ).
thf(f16353,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_44
| spl0_136
| spl0_149
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f16318,f9086]) ).
thf(f16356,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_44
| spl0_136
| spl0_149
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f16322,f6840]) ).
thf(f16358,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_108
| spl0_135
| spl0_149
| spl0_166 ),
inference(forward_subsumption_resolution,[],[f16324,f15201]) ).
thf(f16359,plain,
( spl0_35
| ~ spl0_10
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f16327,f12817,f136,f906]) ).
thf(f16360,plain,
( ~ spl0_35
| spl0_160
| ~ spl0_42
| spl0_166
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f16330,f7237,f4724,f964,f4640,f906]) ).
thf(f16363,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_97
| spl0_135
| spl0_149
| spl0_166 ),
inference(forward_subsumption_resolution,[],[f16344,f15179]) ).
thf(f16365,plain,
( spl0_195
| spl0_40
| spl0_166
| spl0_185
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f16349,f13020,f5069,f4724,f957,f5131]) ).
thf(f16367,plain,
( spl0_40
| spl0_155
| spl0_44
| spl0_136
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f16351,f13020,f3765,f975,f4410,f957]) ).
thf(f16368,plain,
( ~ spl0_34
| spl0_44
| spl0_136
| spl0_149
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f16353,f13020,f4389,f3765,f975,f884]) ).
thf(f16370,plain,
( spl0_40
| spl0_44
| spl0_136
| spl0_149
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f16356,f13020,f4389,f3765,f975,f957]) ).
thf(f16371,plain,
( spl0_105
| ~ spl0_108
| spl0_135
| spl0_149
| spl0_166 ),
inference(avatar_split_clause,[],[f16358,f4724,f4389,f3762,f2915,f2866]) ).
thf(f16372,plain,
( spl0_160
| ~ spl0_97
| spl0_135
| spl0_149
| spl0_166 ),
inference(avatar_split_clause,[],[f16363,f4724,f4389,f3762,f2543,f4640]) ).
thf(f16375,plain,
( ~ spl0_179
| spl0_197
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f13517,f12987,f5246,f4879]) ).
thf(f16381,definition,
( spl0_404
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_404])],[avatar_definition]) ).
thf(f16382,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_404 ),
inference(avatar_component_clause,[],[f16381]) ).
thf(f16383,plain,
( ~ spl0_160
| spl0_404
| ~ spl0_11
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f16245,f15326,f140,f16381,f4640]) ).
thf(f16389,definition,
( spl0_406
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_406])],[avatar_definition]) ).
thf(f16390,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_406 ),
inference(avatar_component_clause,[],[f16389]) ).
thf(f16392,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_4
| ~ spl0_260 ),
inference(forward_subsumption_resolution,[],[f12743,f7850]) ).
thf(f16396,plain,
( spl0_154
| spl0_153
| spl0_135 ),
inference(avatar_split_clause,[],[f15358,f3762,f4403,f4406]) ).
thf(f16398,plain,
( spl0_197
| ~ spl0_179
| ~ spl0_4
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f16392,f6673,f81,f4879,f5246]) ).
thf(f16413,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f42,f2547]) ).
thf(f16417,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f16413]) ).
thf(f16418,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_10
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f16417,f137]) ).
thf(f16419,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_10
| spl0_31
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f16418,f843]) ).
thf(f16420,plain,
( spl0_280
| ~ spl0_10
| spl0_31
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f16419,f1655,f842,f136,f9098]) ).
thf(f16429,plain,
( $false
| ~ spl0_7
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f5844,f115]) ).
thf(f16430,plain,
( ~ spl0_7
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f16429]) ).
thf(f16460,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f64,f958]) ).
thf(f16463,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f16460]) ).
thf(f16468,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_30
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f16463,f840]) ).
thf(f16469,plain,
( spl0_240
| spl0_101
| ~ spl0_30
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f16468,f957,f839,f2763,f6091]) ).
thf(f16494,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_66
| ~ spl0_362 ),
inference(constrained_superposition,[],[f15270,f3473]) ).
thf(f16499,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_66
| ~ spl0_362 ),
inference(trivial_inequality_removal,[],[f16494]) ).
thf(f16507,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_66
| spl0_135
| ~ spl0_362 ),
inference(forward_subsumption_resolution,[],[f16499,f15201]) ).
thf(f16510,plain,
( $false
| ~ spl0_66
| spl0_135
| ~ spl0_362 ),
inference(forward_subsumption_resolution,[],[f16507,f25]) ).
thf(f16511,plain,
( ~ spl0_66
| spl0_135
| ~ spl0_362 ),
inference(avatar_contradiction_clause,[],[f16510]) ).
thf(f16533,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_236 ),
inference(constrained_superposition,[],[f28,f6048]) ).
thf(f16539,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f16533]) ).
thf(f16543,plain,
( spl0_365
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f16539,f6047,f15309]) ).
thf(f16552,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_149 ),
inference(constrained_superposition,[],[f42,f4390]) ).
thf(f16557,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f16552]) ).
thf(f16559,plain,
( $false
| ~ spl0_30
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f4416,f840]) ).
thf(f16560,plain,
( ~ spl0_30
| ~ spl0_156 ),
inference(avatar_contradiction_clause,[],[f16559]) ).
thf(f16561,plain,
( spl0_152
| spl0_151
| spl0_135 ),
inference(avatar_split_clause,[],[f15359,f3762,f4396,f4399]) ).
thf(f16565,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_9
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f14471,f134]) ).
thf(f16567,definition,
( spl0_411
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_411])],[avatar_definition]) ).
thf(f16568,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_411 ),
inference(avatar_component_clause,[],[f16567]) ).
thf(f16596,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_156
| ~ spl0_216 ),
inference(constrained_superposition,[],[f5815,f4416]) ).
thf(f16598,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f47,f4416]) ).
thf(f16603,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_156
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f16596]) ).
thf(f16606,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f16598]) ).
thf(f16687,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_149
| ~ spl0_314 ),
inference(constrained_superposition,[],[f12818,f4390]) ).
thf(f16698,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_149
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f16687]) ).
thf(f16735,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f42,f5132]) ).
thf(f16739,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f16735]) ).
thf(f16826,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_151
| ~ spl0_238 ),
inference(constrained_superposition,[],[f6057,f4397]) ).
thf(f16836,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_151
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f16826]) ).
thf(f16840,plain,
( $false
| ~ spl0_151
| ~ spl0_224
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f16836,f5852]) ).
thf(f16841,plain,
( ~ spl0_151
| ~ spl0_224
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f16840]) ).
thf(f16881,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_9
| ~ spl0_305
| ~ spl0_330 ),
inference(constrained_superposition,[],[f16565,f11556]) ).
thf(f16897,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_9
| ~ spl0_305
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f16881]) ).
thf(f16909,plain,
( ! [X0: $i] :
( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_9
| ~ spl0_48
| ~ spl0_305
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f16897,f2301]) ).
thf(f16912,plain,
( $false
| ~ spl0_9
| ~ spl0_48
| ~ spl0_305
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f16909,f25]) ).
thf(f16913,plain,
( ~ spl0_9
| ~ spl0_48
| ~ spl0_305
| ~ spl0_330 ),
inference(avatar_contradiction_clause,[],[f16912]) ).
thf(f16918,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_195
| ~ spl0_263 ),
inference(constrained_superposition,[],[f6813,f5132]) ).
thf(f16930,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_195
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f16918]) ).
thf(f17012,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_195
| ~ spl0_299 ),
inference(constrained_superposition,[],[f11516,f5132]) ).
thf(f17015,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_195
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f17012]) ).
thf(f17020,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_186
| ~ spl0_195
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f17015,f5074]) ).
thf(f17026,plain,
( ~ spl0_222
| spl0_172
| ~ spl0_156
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f16603,f5814,f4415,f4777,f5843]) ).
thf(f17028,plain,
( ~ spl0_75
| ~ spl0_195
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f16930,f6812,f5131,f1655]) ).
thf(f17031,plain,
( ~ spl0_224
| ~ spl0_186
| ~ spl0_195
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f17020,f11515,f5131,f5073,f5851]) ).
thf(f17037,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| spl0_31
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f16557,f843]) ).
thf(f17039,plain,
( ~ spl0_136
| ~ spl0_149
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f16698,f12817,f4389,f3765]) ).
thf(f17041,definition,
( spl0_416
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_416])],[avatar_definition]) ).
thf(f17042,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_416 ),
inference(avatar_component_clause,[],[f17041]) ).
thf(f17044,plain,
( spl0_274
| ~ spl0_136
| spl0_31
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f17037,f4389,f842,f3765,f7796]) ).
thf(f17069,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f47,f965]) ).
thf(f17078,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f17069]) ).
thf(f17180,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f64,f5078]) ).
thf(f17181,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f42,f5078]) ).
thf(f17183,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f17181]) ).
thf(f17187,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f17180]) ).
thf(f17188,plain,
( spl0_49
| spl0_261
| spl0_257
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f17187,f5077,f6598,f6722,f1027]) ).
thf(f17191,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_199 ),
inference(constrained_superposition,[],[f47,f5270]) ).
thf(f17199,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f17191]) ).
thf(f17259,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_57
| ~ spl0_195 ),
inference(constrained_superposition,[],[f1192,f5132]) ).
thf(f17263,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_57
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f17259]) ).
thf(f17268,plain,
( $false
| ~ spl0_57
| ~ spl0_187
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f17263,f5078]) ).
thf(f17269,plain,
( ~ spl0_57
| ~ spl0_187
| ~ spl0_195 ),
inference(avatar_contradiction_clause,[],[f17268]) ).
thf(f17272,plain,
( spl0_197
| spl0_196
| ~ spl0_40
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f16739,f5131,f957,f5243,f5246]) ).
thf(f17273,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_401 ),
inference(avatar_component_clause,[],[f16333]) ).
thf(f17283,plain,
( spl0_172
| spl0_40
| ~ spl0_169
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f16606,f4415,f4739,f957,f4777]) ).
thf(f17295,plain,
( spl0_7
| spl0_40
| ~ spl0_1
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f17078,f964,f66,f957,f114]) ).
thf(f17304,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( X0 = X1 )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f40,f67]) ).
thf(f17306,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f17304]) ).
thf(f17310,plain,
( spl0_317
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f17306,f66,f13020]) ).
thf(f17328,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f160,f958]) ).
thf(f17333,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f17328]) ).
thf(f17348,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
= $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f40,f5247]) ).
thf(f17351,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
= $true ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f17348]) ).
thf(f17354,plain,
( spl0_317
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f17351,f5246,f13020]) ).
thf(f17369,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_149 ),
inference(constrained_superposition,[],[f9086,f36]) ).
thf(f17373,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_149 ),
inference(trivial_inequality_removal,[],[f17369]) ).
thf(f17376,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_44
| spl0_149 ),
inference(forward_subsumption_resolution,[],[f17373,f4350]) ).
thf(f17377,plain,
( spl0_266
| spl0_44
| spl0_149 ),
inference(avatar_split_clause,[],[f17376,f4389,f975,f7237]) ).
thf(f17383,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_266 ),
inference(constrained_superposition,[],[f179,f15158]) ).
thf(f17384,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_266 ),
inference(constrained_superposition,[],[f47,f15158]) ).
thf(f17392,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f17383]) ).
thf(f17395,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f17384]) ).
thf(f17398,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_401 ),
inference(constrained_superposition,[],[f17273,f30]) ).
thf(f17399,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_401 ),
inference(trivial_inequality_removal,[],[f17398]) ).
thf(f17405,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_187
| ~ spl0_314 ),
inference(constrained_superposition,[],[f12818,f5078]) ).
thf(f17413,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_187
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f17405]) ).
thf(f17511,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_195
| ~ spl0_325 ),
inference(constrained_superposition,[],[f13896,f5132]) ).
thf(f17512,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_325
| ~ spl0_370 ),
inference(constrained_superposition,[],[f13896,f15364]) ).
thf(f17518,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_195
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f17511]) ).
thf(f17524,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_325
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f17512]) ).
thf(f17525,plain,
( ~ spl0_406
| ~ spl0_325
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f17524,f15363,f13895,f16389]) ).
thf(f17526,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_406 ),
inference(constrained_superposition,[],[f16390,f55]) ).
thf(f17529,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_406 ),
inference(trivial_inequality_removal,[],[f17526]) ).
thf(f17532,plain,
( spl0_404
| spl0_406 ),
inference(avatar_split_clause,[],[f17529,f16389,f16381]) ).
thf(f17535,plain,
( ~ spl0_66
| ~ spl0_195
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f17518,f13895,f5131,f1503]) ).
thf(f17536,plain,
( spl0_36
| spl0_35
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f17333,f957,f906,f909]) ).
thf(f17543,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f42,f3473]) ).
thf(f17545,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f17543]) ).
thf(f17566,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_236 ),
inference(constrained_superposition,[],[f179,f6048]) ).
thf(f17578,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f17566]) ).
thf(f17640,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_133
| ~ spl0_187 ),
inference(constrained_superposition,[],[f3567,f5078]) ).
thf(f17650,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_133
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f17640]) ).
thf(f17652,plain,
( $false
| ~ spl0_133
| ~ spl0_187
| ~ spl0_202 ),
inference(forward_subsumption_resolution,[],[f17650,f13826]) ).
thf(f17653,plain,
( ~ spl0_133
| ~ spl0_187
| ~ spl0_202 ),
inference(avatar_contradiction_clause,[],[f17652]) ).
thf(f17654,plain,
( ~ spl0_1
| spl0_7
| spl0_179
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f17578,f6047,f4879,f114,f66]) ).
thf(f17655,plain,
( ~ spl0_31
| spl0_30
| spl0_179
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f17392,f7237,f4879,f839,f842]) ).
thf(f17658,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_40
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f17545,f958]) ).
thf(f17665,plain,
( ~ spl0_31
| spl0_30
| spl0_185
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f17199,f5269,f5069,f839,f842]) ).
thf(f17666,plain,
( spl0_253
| spl0_31
| ~ spl0_185
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f17183,f5077,f5069,f842,f6365]) ).
thf(f17667,plain,
( ~ spl0_185
| ~ spl0_187
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f17413,f12817,f5077,f5069]) ).
thf(f17669,plain,
( spl0_411
| spl0_1
| ~ spl0_40
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f17658,f1503,f957,f66,f16567]) ).
thf(f17670,plain,
( spl0_136
| ~ spl0_31
| spl0_30
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f17395,f7237,f839,f842,f3765]) ).
thf(f17673,definition,
( spl0_422
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_422])],[avatar_definition]) ).
thf(f17674,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_422 ),
inference(avatar_component_clause,[],[f17673]) ).
thf(f17684,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f47,f907]) ).
thf(f17693,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f17684]) ).
thf(f17717,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f28,f5844]) ).
thf(f17722,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f17717]) ).
thf(f17726,plain,
( spl0_365
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f17722,f5843,f15309]) ).
thf(f17940,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_155
| ~ spl0_299 ),
inference(constrained_superposition,[],[f11516,f4411]) ).
thf(f17948,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_155
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f17940]) ).
thf(f17965,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_365 ),
inference(constrained_superposition,[],[f15310,f35]) ).
thf(f17967,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_365 ),
inference(constrained_superposition,[],[f15310,f700]) ).
thf(f17970,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_365 ),
inference(trivial_inequality_removal,[],[f17965]) ).
thf(f17974,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_365 ),
inference(trivial_inequality_removal,[],[f17967]) ).
thf(f17996,plain,
( ( $true != $true )
| ~ spl0_30
| ~ spl0_192 ),
inference(constrained_superposition,[],[f840,f15306]) ).
thf(f17998,plain,
( $false
| ~ spl0_30
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f17996]) ).
thf(f17999,plain,
( ~ spl0_30
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f17998]) ).
thf(f18002,plain,
( spl0_9
| ~ spl0_15
| spl0_136
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f17970,f15309,f3765,f323,f133]) ).
thf(f18008,plain,
( ~ spl0_179
| ~ spl0_105
| ~ spl0_155
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f17948,f11515,f4410,f2866,f4879]) ).
thf(f18012,definition,
( spl0_423
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_423])],[avatar_definition]) ).
thf(f18013,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_423 ),
inference(avatar_component_clause,[],[f18012]) ).
thf(f18017,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f131,f35]) ).
thf(f18019,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f18017]) ).
thf(f18021,plain,
( spl0_275
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f18019,f130,f7804]) ).
thf(f18030,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( ( r @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f40,f1043]) ).
thf(f18032,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f18030]) ).
thf(f18036,plain,
( spl0_317
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f18032,f842,f13020]) ).
thf(f18073,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_401 ),
inference(forward_subsumption_resolution,[],[f17399,f25]) ).
thf(f18074,plain,
( spl0_386
| spl0_401 ),
inference(avatar_split_clause,[],[f18073,f16333,f15842]) ).
thf(f18086,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_185 ),
inference(constrained_superposition,[],[f64,f5070]) ).
thf(f18091,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f18086]) ).
thf(f18097,plain,
( ( $true != $true )
| ~ spl0_193
| ~ spl0_261 ),
inference(constrained_superposition,[],[f5123,f6723]) ).
thf(f18100,plain,
( $false
| ~ spl0_193
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f18097]) ).
thf(f18101,plain,
( ~ spl0_193
| ~ spl0_261 ),
inference(avatar_contradiction_clause,[],[f18100]) ).
thf(f18134,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f28,f5247]) ).
thf(f18137,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f18134]) ).
thf(f18153,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f47,f5791]) ).
thf(f18161,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f18153]) ).
thf(f18279,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_106 ),
inference(constrained_superposition,[],[f2870,f56]) ).
thf(f18286,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f18279]) ).
thf(f18293,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f18286,f7850]) ).
thf(f18298,plain,
( spl0_222
| ~ spl0_4
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f18293,f2869,f81,f5843]) ).
thf(f18299,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_197
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f18161,f5247]) ).
thf(f18301,plain,
( spl0_240
| spl0_258
| spl0_261
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f18091,f5069,f6722,f6602,f6091]) ).
thf(f18302,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| spl0_10
| ~ spl0_197
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f18299,f161]) ).
thf(f18304,plain,
( spl0_193
| spl0_10
| ~ spl0_197
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f18302,f5790,f5246,f136,f5122]) ).
thf(f18319,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f47,f5844]) ).
thf(f18324,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f18319]) ).
thf(f18364,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_149 ),
inference(constrained_superposition,[],[f64,f4390]) ).
thf(f18369,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f18364]) ).
thf(f18371,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_149
| ~ spl0_172 ),
inference(forward_subsumption_resolution,[],[f18369,f4778]) ).
thf(f18372,plain,
( spl0_49
| spl0_243
| ~ spl0_149
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f18371,f4777,f4389,f6103,f1027]) ).
thf(f18587,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f18137,f700]) ).
thf(f18595,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f18587]) ).
thf(f18625,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_31
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f17693,f1043]) ).
thf(f18626,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| spl0_10
| ~ spl0_31
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f18625,f161]) ).
thf(f18627,plain,
( spl0_30
| spl0_10
| ~ spl0_31
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f18626,f906,f842,f136,f839]) ).
thf(f18632,plain,
( spl0_30
| ~ spl0_35
| spl0_149
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f17974,f15309,f4389,f906,f839]) ).
thf(f18633,plain,
( spl0_30
| ~ spl0_31
| spl0_187
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f18595,f5246,f5077,f842,f839]) ).
thf(f18635,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| spl0_10
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f18324,f161]) ).
thf(f18636,plain,
( ~ spl0_169
| spl0_172
| spl0_10
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f18635,f5843,f136,f4777,f4739]) ).
thf(f18702,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_185
| ~ spl0_275 ),
inference(constrained_superposition,[],[f5551,f7805]) ).
thf(f18705,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_185
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f18702]) ).
thf(f18707,plain,
( $false
| spl0_185
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f18705,f25]) ).
thf(f18708,plain,
( spl0_185
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[],[f18707]) ).
thf(f18821,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_187 ),
inference(constrained_superposition,[],[f7482,f36]) ).
thf(f18823,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_187 ),
inference(trivial_inequality_removal,[],[f18821]) ).
thf(f18826,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_166
| spl0_187 ),
inference(forward_subsumption_resolution,[],[f18823,f15179]) ).
thf(f18829,plain,
( spl0_199
| spl0_166
| spl0_187 ),
inference(avatar_split_clause,[],[f18826,f5077,f4724,f5269]) ).
thf(f18865,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_133 ),
inference(constrained_superposition,[],[f3567,f34]) ).
thf(f18875,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f18865]) ).
thf(f18880,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f64,f4397]) ).
thf(f18885,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f18880]) ).
thf(f18889,plain,
( spl0_238
| spl0_260
| spl0_261
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f18885,f4396,f6722,f6673,f6056]) ).
thf(f18939,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_367 ),
inference(constrained_superposition,[],[f42,f15319]) ).
thf(f18942,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f18939]) ).
thf(f18945,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| spl0_169
| ~ spl0_367 ),
inference(forward_subsumption_resolution,[],[f18942,f4775]) ).
thf(f18980,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f825,f15367]) ).
thf(f18995,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f18980]) ).
thf(f18998,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_192
| ~ spl0_371 ),
inference(forward_subsumption_resolution,[],[f18995,f15306]) ).
thf(f18999,plain,
( spl0_384
| spl0_193
| ~ spl0_192
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f18998,f15366,f5119,f5122,f15834]) ).
thf(f19000,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_31
| ~ spl0_133 ),
inference(forward_subsumption_resolution,[],[f18875,f843]) ).
thf(f19004,plain,
( spl0_423
| ~ spl0_385
| spl0_169
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f18945,f15318,f4739,f15838,f18012]) ).
thf(f19005,plain,
( ~ spl0_4
| spl0_31
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f19000,f3566,f842,f81]) ).
thf(f19116,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_155 ),
inference(constrained_superposition,[],[f64,f4411]) ).
thf(f19117,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_155 ),
inference(constrained_superposition,[],[f42,f4411]) ).
thf(f19121,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f19116]) ).
thf(f19122,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f19117]) ).
thf(f19123,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_42
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f19121,f3467]) ).
thf(f19124,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_40
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f19122,f958]) ).
thf(f19125,plain,
( spl0_238
| spl0_243
| spl0_42
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f19123,f4410,f964,f6103,f6056]) ).
thf(f19126,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_40
| ~ spl0_155
| spl0_169 ),
inference(forward_subsumption_resolution,[],[f19124,f4775]) ).
thf(f19127,plain,
( spl0_168
| ~ spl0_40
| ~ spl0_155
| spl0_169 ),
inference(avatar_split_clause,[],[f19126,f4739,f4410,f957,f4736]) ).
thf(f19136,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_261 ),
inference(constrained_superposition,[],[f825,f6723]) ).
thf(f19138,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_261 ),
inference(constrained_superposition,[],[f47,f6723]) ).
thf(f19142,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_261 ),
inference(constrained_superposition,[],[f28,f6723]) ).
thf(f19143,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f19142]) ).
thf(f19144,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f19136]) ).
thf(f19146,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f19138]) ).
thf(f19165,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f64,f5132]) ).
thf(f19166,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f42,f5132]) ).
thf(f19169,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f19165]) ).
thf(f19171,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f19166]) ).
thf(f19172,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| spl0_42
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f19169,f3467]) ).
thf(f19173,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_40
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f19171,f958]) ).
thf(f19174,plain,
( spl0_263
| spl0_257
| spl0_42
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f19172,f5131,f964,f6598,f6812]) ).
thf(f19175,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_9
| ~ spl0_40
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f19173,f134]) ).
thf(f19176,plain,
( spl0_196
| ~ spl0_9
| ~ spl0_40
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f19175,f5131,f957,f133,f5243]) ).
thf(f19177,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f825,f4400]) ).
thf(f19189,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f19177]) ).
thf(f19319,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_366 ),
inference(constrained_superposition,[],[f825,f15316]) ).
thf(f19326,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f19319]) ).
thf(f19428,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f47,f16382]) ).
thf(f19432,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f28,f16382]) ).
thf(f19436,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f19432]) ).
thf(f19438,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f19428]) ).
thf(f19466,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_18
| ~ spl0_155 ),
inference(constrained_superposition,[],[f418,f4411]) ).
thf(f19479,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_18
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f19466]) ).
thf(f19490,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_18
| spl0_136
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f19479,f6840]) ).
thf(f19501,plain,
( $false
| ~ spl0_18
| ~ spl0_66
| spl0_136
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f19490,f3473]) ).
thf(f19502,plain,
( ~ spl0_18
| ~ spl0_66
| spl0_136
| ~ spl0_155 ),
inference(avatar_contradiction_clause,[],[f19501]) ).
thf(f19509,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_261 ),
inference(constrained_superposition,[],[f19143,f35]) ).
thf(f19511,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_261 ),
inference(constrained_superposition,[],[f19143,f700]) ).
thf(f19512,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_152
| ~ spl0_261 ),
inference(constrained_superposition,[],[f19143,f4400]) ).
thf(f19518,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f19509]) ).
thf(f19520,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_152
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f19512]) ).
thf(f19521,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f19511]) ).
thf(f19529,plain,
( ~ spl0_156
| spl0_172
| spl0_384
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f19326,f15315,f15834,f4777,f4415]) ).
thf(f19530,plain,
( ~ spl0_222
| spl0_172
| ~ spl0_152
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f19520,f6722,f4399,f4777,f5843]) ).
thf(f19532,plain,
( ~ spl0_15
| spl0_185
| spl0_9
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f19518,f6722,f133,f5069,f323]) ).
thf(f19533,plain,
( ~ spl0_156
| spl0_187
| spl0_172
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f19189,f4399,f4777,f5077,f4415]) ).
thf(f19535,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| spl0_385
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f19438,f16154]) ).
thf(f19536,plain,
( spl0_185
| spl0_7
| ~ spl0_1
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f19146,f6722,f66,f114,f5069]) ).
thf(f19537,plain,
( ~ spl0_35
| spl0_187
| spl0_30
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f19521,f6722,f839,f5077,f906]) ).
thf(f19538,plain,
( spl0_7
| ~ spl0_42
| spl0_187
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f19144,f6722,f5077,f964,f114]) ).
thf(f19543,plain,
( spl0_7
| ~ spl0_1
| spl0_385
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f19535,f16381,f15838,f66,f114]) ).
thf(f19562,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f70,f55]) ).
thf(f19569,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f19562]) ).
thf(f19570,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f19569]) ).
thf(f19576,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f115,f35]) ).
thf(f19579,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f19576]) ).
thf(f19580,plain,
( spl0_10
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f19579,f114,f136]) ).
thf(f19593,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( b @ X0 @ z ) ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f279,f1043]) ).
thf(f19594,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( z = X1 )
| ( $true != $true )
| ( $true
= ( b @ z @ X1 ) ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f185,f1043]) ).
thf(f19597,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( b @ X0 @ z ) ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f19593]) ).
thf(f19598,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( b @ z @ X1 ) )
| ( z = X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
= $true ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f19594]) ).
thf(f19601,plain,
( spl0_39
| spl0_28
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f19597,f842,f832,f952]) ).
thf(f19602,plain,
( spl0_56
| spl0_28
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f19598,f842,f832,f1080]) ).
thf(f19676,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_236 ),
inference(constrained_superposition,[],[f47,f6048]) ).
thf(f19687,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f19676]) ).
thf(f19715,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_149 ),
inference(constrained_superposition,[],[f160,f4390]) ).
thf(f19720,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f19715]) ).
thf(f19753,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f160,f5078]) ).
thf(f19762,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f19753]) ).
thf(f19765,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f179,f15306]) ).
thf(f19776,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f19765]) ).
thf(f19781,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_192
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f19776,f5247]) ).
thf(f19785,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| spl0_48
| ~ spl0_192
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f19781,f1025]) ).
thf(f19786,plain,
( spl0_193
| spl0_48
| ~ spl0_192
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f19785,f5246,f5119,f1024,f5122]) ).
thf(f19787,plain,
( ~ spl0_1
| spl0_7
| spl0_136
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f19687,f6047,f3765,f114,f66]) ).
thf(f19788,plain,
( spl0_222
| spl0_277
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f19720,f4389,f8512,f5843]) ).
thf(f19789,plain,
( spl0_3
| spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f19570,f69,f81,f84,f78]) ).
thf(f19820,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f160,f3766]) ).
thf(f19824,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f19820]) ).
thf(f19828,plain,
( spl0_222
| spl0_223
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f19824,f3765,f5846,f5843]) ).
thf(f19838,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f185,f5844]) ).
thf(f19842,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
= $true ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f19838]) ).
thf(f19848,plain,
( spl0_170
| spl0_262
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f19842,f5843,f6745,f4769]) ).
thf(f19871,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_192 ),
inference(constrained_superposition,[],[f5120,f30]) ).
thf(f19872,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_192 ),
inference(trivial_inequality_removal,[],[f19871]) ).
thf(f19873,plain,
( spl0_195
| spl0_194
| spl0_192 ),
inference(avatar_split_clause,[],[f19872,f5119,f5128,f5131]) ).
thf(f19876,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f64,f5132]) ).
thf(f19883,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f19876]) ).
thf(f19885,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| spl0_42
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f19883,f3467]) ).
thf(f19887,plain,
( spl0_257
| spl0_263
| spl0_42
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f19885,f5131,f964,f6812,f6598]) ).
thf(f19925,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_153 ),
inference(constrained_superposition,[],[f28,f4404]) ).
thf(f19926,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f19925]) ).
thf(f20038,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_195
| ~ spl0_315 ),
inference(constrained_superposition,[],[f12988,f5132]) ).
thf(f20046,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_195
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f20038]) ).
thf(f20078,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_236
| ~ spl0_351 ),
inference(constrained_superposition,[],[f15193,f6048]) ).
thf(f20083,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_236
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f20078]) ).
thf(f20090,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_369 ),
inference(constrained_superposition,[],[f42,f15327]) ).
thf(f20093,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f20090]) ).
thf(f20100,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_386 ),
inference(constrained_superposition,[],[f141,f15843]) ).
thf(f20102,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f141,f34]) ).
thf(f20109,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_187 ),
inference(constrained_superposition,[],[f141,f5078]) ).
thf(f20111,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_195 ),
inference(constrained_superposition,[],[f141,f5132]) ).
thf(f20120,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f20109]) ).
thf(f20123,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f20100]) ).
thf(f20124,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f20102]) ).
thf(f20127,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f20111]) ).
thf(f20137,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_366
| ~ spl0_404 ),
inference(constrained_superposition,[],[f19436,f15316]) ).
thf(f20143,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_366
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f20137]) ).
thf(f20145,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_222
| ~ spl0_366
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f20143,f5844]) ).
thf(f20146,plain,
( spl0_172
| ~ spl0_222
| ~ spl0_366
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f20145,f16381,f15315,f5843,f4777]) ).
thf(f20149,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_4
| ~ spl0_11
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f20123,f7850]) ).
thf(f20151,plain,
( spl0_404
| ~ spl0_4
| ~ spl0_11
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f20149,f15842,f140,f81,f16381]) ).
thf(f20166,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f825,f16382]) ).
thf(f20167,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f179,f16382]) ).
thf(f20172,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f28,f16382]) ).
thf(f20173,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f20172]) ).
thf(f20176,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f20166]) ).
thf(f20179,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f20167]) ).
thf(f20225,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_371
| ~ spl0_404 ),
inference(constrained_superposition,[],[f20173,f15367]) ).
thf(f20228,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_371
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f20225]) ).
thf(f20235,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_66
| ~ spl0_411 ),
inference(constrained_superposition,[],[f16568,f3473]) ).
thf(f20242,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_66
| ~ spl0_411 ),
inference(trivial_inequality_removal,[],[f20235]) ).
thf(f20245,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_66
| ~ spl0_411 ),
inference(forward_subsumption_resolution,[],[f20242,f7850]) ).
thf(f20247,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_66
| ~ spl0_411 ),
inference(avatar_split_clause,[],[f20245,f16567,f1503,f81,f78]) ).
thf(f20253,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_153
| ~ spl0_261 ),
inference(constrained_superposition,[],[f19926,f6723]) ).
thf(f20257,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_153
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f20253]) ).
thf(f20260,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ X0 )
!= $true )
| ~ spl0_153
| ~ spl0_236
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f20257,f6048]) ).
thf(f20263,plain,
( spl0_7
| ~ spl0_153
| ~ spl0_236
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f20260,f6722,f6047,f4403,f114]) ).
thf(f20267,plain,
( spl0_193
| ~ spl0_211
| ~ spl0_371
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f20228,f16381,f15366,f5790,f5122]) ).
thf(f20268,plain,
( spl0_211
| spl0_219
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f19762,f5077,f5829,f5790]) ).
thf(f20272,plain,
( spl0_261
| ~ spl0_66
| ~ spl0_11
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f20127,f5131,f140,f1503,f6722]) ).
thf(f20274,plain,
( ~ spl0_202
| spl0_42
| ~ spl0_11
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f20120,f5077,f140,f964,f5437]) ).
thf(f20275,plain,
( spl0_7
| ~ spl0_42
| ~ spl0_236
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f20083,f15192,f6047,f964,f114]) ).
thf(f20276,plain,
( ~ spl0_155
| ~ spl0_195
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f20046,f12987,f5131,f4410]) ).
thf(f20381,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f179,f4400]) ).
thf(f20382,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f47,f4400]) ).
thf(f20386,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f28,f4400]) ).
thf(f20389,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f20382]) ).
thf(f20391,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f20386]) ).
thf(f20392,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f20381]) ).
thf(f20501,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f20391,f35]) ).
thf(f20507,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f20501]) ).
thf(f20604,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_58
| ~ spl0_224 ),
inference(constrained_superposition,[],[f1195,f5852]) ).
thf(f20621,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_58
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f20604]) ).
thf(f20625,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_58
| spl0_186
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f20621,f8173]) ).
thf(f20628,plain,
( ~ spl0_75
| ~ spl0_58
| spl0_186
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f20625,f5851,f5073,f1194,f1655]) ).
thf(f20663,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_330
| ~ spl0_367 ),
inference(constrained_superposition,[],[f14471,f15319]) ).
thf(f20677,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_330
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f20663]) ).
thf(f20685,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_330
| ~ spl0_367
| ~ spl0_384 ),
inference(forward_subsumption_resolution,[],[f20677,f15835]) ).
thf(f20690,plain,
( $false
| spl0_169
| ~ spl0_330
| ~ spl0_367
| ~ spl0_384 ),
inference(forward_subsumption_resolution,[],[f20685,f4775]) ).
thf(f20691,plain,
( spl0_169
| ~ spl0_330
| ~ spl0_367
| ~ spl0_384 ),
inference(avatar_contradiction_clause,[],[f20690]) ).
thf(f20693,plain,
( ~ spl0_136
| spl0_416
| spl0_401
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f20093,f15326,f16333,f17041,f3765]) ).
thf(f20694,plain,
( spl0_172
| ~ spl0_169
| spl0_185
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f20389,f4399,f5069,f4739,f4777]) ).
thf(f20705,plain,
( spl0_185
| ~ spl0_150
| spl0_9
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f20507,f4399,f133,f4392,f5069]) ).
thf(f20710,plain,
( spl0_172
| ~ spl0_169
| spl0_186
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f20392,f4399,f5073,f4739,f4777]) ).
thf(f20718,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( b @ X0 @ z ) )
| ( $true
= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_169 ),
inference(constrained_superposition,[],[f279,f4740]) ).
thf(f20724,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( b @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f20718]) ).
thf(f20726,plain,
( spl0_209
| spl0_170
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f20724,f4739,f4769,f5717]) ).
thf(f20763,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_58
| ~ spl0_105 ),
inference(constrained_superposition,[],[f1195,f5894]) ).
thf(f20765,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_105 ),
inference(constrained_superposition,[],[f42,f5894]) ).
thf(f20770,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_58
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f20763]) ).
thf(f20771,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f20765]) ).
thf(f20778,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f279,f907]) ).
thf(f20779,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f185,f907]) ).
thf(f20782,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f20778]) ).
thf(f20784,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ z )
= X1 )
| ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f20779]) ).
thf(f20788,plain,
( spl0_97
| spl0_28
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f20782,f906,f832,f2543]) ).
thf(f20789,plain,
( spl0_108
| spl0_28
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f20784,f906,f832,f2915]) ).
thf(f20882,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_401 ),
inference(constrained_superposition,[],[f28,f16334]) ).
thf(f20885,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_401 ),
inference(trivial_inequality_removal,[],[f20882]) ).
thf(f20891,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_49
| ~ spl0_149 ),
inference(constrained_superposition,[],[f1028,f4390]) ).
thf(f20901,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_49
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f20891]) ).
thf(f20905,plain,
( $false
| ~ spl0_49
| ~ spl0_105
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f20901,f5894]) ).
thf(f20906,plain,
( ~ spl0_49
| ~ spl0_105
| ~ spl0_149 ),
inference(avatar_contradiction_clause,[],[f20905]) ).
thf(f20911,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_154
| ~ spl0_330 ),
inference(constrained_superposition,[],[f14471,f4407]) ).
thf(f20920,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_154
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f20911]) ).
thf(f20929,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_149
| ~ spl0_154
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f20920,f4390]) ).
thf(f20930,plain,
( spl0_197
| ~ spl0_149
| ~ spl0_154
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f20929,f14470,f4406,f4389,f5246]) ).
thf(f20934,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f28,f5247]) ).
thf(f20935,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f20934]) ).
thf(f20941,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_272 ),
inference(constrained_superposition,[],[f7286,f34]) ).
thf(f20950,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f20941]) ).
thf(f20989,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_330
| ~ spl0_370 ),
inference(constrained_superposition,[],[f14471,f15364]) ).
thf(f20992,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_370 ),
inference(constrained_superposition,[],[f42,f15364]) ).
thf(f20996,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f20992]) ).
thf(f21000,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_330
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f20989]) ).
thf(f21010,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_152
| ~ spl0_197 ),
inference(constrained_superposition,[],[f20935,f4400]) ).
thf(f21014,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_152
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f21010]) ).
thf(f21018,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_152
| ~ spl0_169
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f21014,f4740]) ).
thf(f21019,plain,
( spl0_172
| ~ spl0_152
| ~ spl0_169
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f21018,f5246,f4739,f4399,f4777]) ).
thf(f21020,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_370
| ~ spl0_385 ),
inference(forward_subsumption_resolution,[],[f20996,f15839]) ).
thf(f21021,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_330
| ~ spl0_370
| ~ spl0_384 ),
inference(forward_subsumption_resolution,[],[f21000,f15835]) ).
thf(f21022,plain,
( spl0_197
| spl0_422
| ~ spl0_370
| ~ spl0_385 ),
inference(avatar_split_clause,[],[f21020,f15838,f15363,f17673,f5246]) ).
thf(f21023,plain,
( spl0_197
| ~ spl0_330
| ~ spl0_370
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f21021,f15834,f15363,f14470,f5246]) ).
thf(f21025,plain,
( ~ spl0_4
| spl0_169
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f20950,f7285,f4739,f81]) ).
thf(f21027,plain,
( spl0_179
| ~ spl0_75
| ~ spl0_58
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f20770,f2866,f1194,f1655,f4879]) ).
thf(f21028,plain,
( spl0_7
| spl0_384
| ~ spl0_42
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f20176,f16381,f964,f15834,f114]) ).
thf(f21030,plain,
( ~ spl0_1
| spl0_386
| spl0_7
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f20179,f16381,f114,f15842,f66]) ).
thf(f21033,plain,
( ~ spl0_4
| spl0_271
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f20124,f140,f7277,f81]) ).
thf(f21035,plain,
( ~ spl0_10
| spl0_239
| spl0_169
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f20771,f2866,f4739,f6061,f136]) ).
thf(f21041,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( b @ X0 @ z ) )
| ( ( s @ z )
= X1 )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( $true
= ( b @ X0 @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f279,f67]) ).
thf(f21048,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( $true
= ( b @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( $true
= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f21041]) ).
thf(f21050,plain,
( spl0_14
| spl0_24
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f21048,f66,f474,f285]) ).
thf(f21069,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f160,f3473]) ).
thf(f21076,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_66 ),
inference(duplicate_literal_removal,[],[f21069]) ).
thf(f21077,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f21076]) ).
thf(f21080,plain,
( spl0_132
| spl0_35
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f21077,f1503,f906,f3499]) ).
thf(f21126,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_211 ),
inference(constrained_superposition,[],[f11937,f30]) ).
thf(f21127,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_211 ),
inference(trivial_inequality_removal,[],[f21126]) ).
thf(f21128,plain,
( spl0_225
| spl0_224
| spl0_211 ),
inference(avatar_split_clause,[],[f21127,f5790,f5851,f5854]) ).
thf(f21147,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_224 ),
inference(constrained_superposition,[],[f42,f5852]) ).
thf(f21151,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f21147]) ).
thf(f21306,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_368 ),
inference(constrained_superposition,[],[f28,f15324]) ).
thf(f21314,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f21306]) ).
thf(f21327,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_179
| ~ spl0_289 ),
inference(constrained_superposition,[],[f10393,f4880]) ).
thf(f21328,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f10393,f34]) ).
thf(f21330,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f10393,f56]) ).
thf(f21336,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_179
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f21327]) ).
thf(f21339,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f21330]) ).
thf(f21340,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f21328]) ).
thf(f21345,plain,
( $false
| ~ spl0_136
| ~ spl0_179
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f21336,f3766]) ).
thf(f21346,plain,
( ~ spl0_136
| ~ spl0_179
| ~ spl0_289 ),
inference(avatar_contradiction_clause,[],[f21345]) ).
thf(f21347,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_222
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f21339,f7016]) ).
thf(f21348,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_169
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f21340,f4775]) ).
thf(f21352,plain,
( $false
| ~ spl0_160
| spl0_222
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f21347,f7119]) ).
thf(f21353,plain,
( ~ spl0_160
| spl0_222
| ~ spl0_289 ),
inference(avatar_contradiction_clause,[],[f21352]) ).
thf(f21354,plain,
( $false
| ~ spl0_136
| spl0_169
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f21348,f3766]) ).
thf(f21355,plain,
( ~ spl0_136
| spl0_169
| ~ spl0_289 ),
inference(avatar_contradiction_clause,[],[f21354]) ).
thf(f21427,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_351 ),
inference(constrained_superposition,[],[f15193,f35]) ).
thf(f21433,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f21427]) ).
thf(f21440,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_401 ),
inference(constrained_superposition,[],[f20885,f700]) ).
thf(f21441,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_401
| ~ spl0_404 ),
inference(constrained_superposition,[],[f20885,f16382]) ).
thf(f21443,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_401
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f21441]) ).
thf(f21446,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_401 ),
inference(trivial_inequality_removal,[],[f21440]) ).
thf(f21447,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ X0 )
!= $true )
| ~ spl0_1
| ~ spl0_401
| ~ spl0_404 ),
inference(forward_subsumption_resolution,[],[f21443,f67]) ).
thf(f21448,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_31
| ~ spl0_401 ),
inference(forward_subsumption_resolution,[],[f21446,f1043]) ).
thf(f21449,plain,
( spl0_7
| ~ spl0_1
| ~ spl0_401
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f21447,f16381,f16333,f66,f114]) ).
thf(f21450,plain,
( spl0_30
| spl0_384
| ~ spl0_31
| ~ spl0_401 ),
inference(avatar_split_clause,[],[f21448,f16333,f842,f15834,f839]) ).
thf(f21509,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_368 ),
inference(constrained_superposition,[],[f21314,f700]) ).
thf(f21515,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f21509]) ).
thf(f21516,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_266
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f21515,f15158]) ).
thf(f21517,plain,
( spl0_30
| spl0_384
| ~ spl0_266
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f21516,f15323,f7237,f15834,f839]) ).
thf(f21518,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_281
| ~ spl0_369 ),
inference(constrained_superposition,[],[f9802,f15327]) ).
thf(f21529,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_281
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f21518]) ).
thf(f21538,plain,
( $false
| ~ spl0_281
| ~ spl0_369
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f21529,f15843]) ).
thf(f21539,plain,
( ~ spl0_281
| ~ spl0_369
| ~ spl0_386 ),
inference(avatar_contradiction_clause,[],[f21538]) ).
thf(f21559,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_373 ),
inference(constrained_superposition,[],[f28,f15377]) ).
thf(f21568,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f21559]) ).
thf(f21606,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_373 ),
inference(constrained_superposition,[],[f21568,f700]) ).
thf(f21609,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f21606]) ).
thf(f21614,plain,
( ~ spl0_199
| spl0_384
| spl0_30
| ~ spl0_373 ),
inference(avatar_split_clause,[],[f21609,f15376,f839,f15834,f5269]) ).
thf(f21626,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_372 ),
inference(constrained_superposition,[],[f141,f15374]) ).
thf(f21635,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f21626]) ).
thf(f21814,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_185
| ~ spl0_298 ),
inference(constrained_superposition,[],[f11276,f5070]) ).
thf(f21826,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_185
| ~ spl0_298 ),
inference(trivial_inequality_removal,[],[f21814]) ).
thf(f21828,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_136
| ~ spl0_185
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f21826,f3766]) ).
thf(f21829,plain,
( spl0_23
| ~ spl0_136
| ~ spl0_185
| ~ spl0_298 ),
inference(avatar_split_clause,[],[f21828,f11275,f5069,f3765,f470]) ).
thf(f21847,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_385
| ~ spl0_416 ),
inference(constrained_superposition,[],[f17042,f15839]) ).
thf(f21860,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_385
| ~ spl0_416 ),
inference(duplicate_literal_removal,[],[f21847]) ).
thf(f21861,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_385
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f21860]) ).
thf(f21863,plain,
( spl0_281
| ~ spl0_385
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f21861,f17041,f15838,f9801]) ).
thf(f21868,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_384 ),
inference(constrained_superposition,[],[f141,f15835]) ).
thf(f21873,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f21868]) ).
thf(f21887,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_368 ),
inference(constrained_superposition,[],[f28,f15324]) ).
thf(f21894,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f21887]) ).
thf(f21914,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_367
| ~ spl0_423 ),
inference(constrained_superposition,[],[f18013,f15319]) ).
thf(f21918,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_367
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f21914]) ).
thf(f21924,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_179
| ~ spl0_367
| ~ spl0_423 ),
inference(forward_subsumption_resolution,[],[f21918,f4880]) ).
thf(f21925,plain,
( spl0_289
| ~ spl0_179
| ~ spl0_367
| ~ spl0_423 ),
inference(avatar_split_clause,[],[f21924,f18012,f15318,f4879,f10392]) ).
thf(f22000,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_185
| ~ spl0_359 ),
inference(constrained_superposition,[],[f15250,f5070]) ).
thf(f22007,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_185
| ~ spl0_359 ),
inference(trivial_inequality_removal,[],[f22000]) ).
thf(f22018,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_136
| ~ spl0_185
| ~ spl0_359 ),
inference(forward_subsumption_resolution,[],[f22007,f3766]) ).
thf(f22019,plain,
( spl0_60
| ~ spl0_136
| ~ spl0_185
| ~ spl0_359 ),
inference(avatar_split_clause,[],[f22018,f15249,f5069,f3765,f1206]) ).
thf(f22051,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_370
| ~ spl0_422 ),
inference(constrained_superposition,[],[f17674,f15364]) ).
thf(f22055,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_370
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f22051]) ).
thf(f22059,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_186
| ~ spl0_370
| ~ spl0_422 ),
inference(forward_subsumption_resolution,[],[f22055,f5074]) ).
thf(f22061,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_185
| ~ spl0_186
| ~ spl0_370
| ~ spl0_422 ),
inference(constrained_superposition,[],[f22059,f5070]) ).
thf(f22070,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_185
| ~ spl0_186
| ~ spl0_370
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f22061]) ).
thf(f22077,plain,
( $false
| ~ spl0_185
| ~ spl0_186
| ~ spl0_370
| ~ spl0_422 ),
inference(forward_subsumption_resolution,[],[f22070,f5074]) ).
thf(f22078,plain,
( ~ spl0_185
| ~ spl0_186
| ~ spl0_370
| ~ spl0_422 ),
inference(avatar_contradiction_clause,[],[f22077]) ).
thf(f22081,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_368
| ~ spl0_371 ),
inference(constrained_superposition,[],[f21894,f15367]) ).
thf(f22085,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f47,f15367]) ).
thf(f22093,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_368
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f22081]) ).
thf(f22098,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f22085]) ).
thf(f22104,plain,
( spl0_193
| ~ spl0_153
| ~ spl0_368
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f22093,f15366,f15323,f4403,f5122]) ).
thf(f22117,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_154
| ~ spl0_281 ),
inference(constrained_superposition,[],[f9802,f4407]) ).
thf(f22131,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_154
| ~ spl0_281 ),
inference(trivial_inequality_removal,[],[f22117]) ).
thf(f22136,plain,
( $false
| ~ spl0_154
| ~ spl0_186
| ~ spl0_281 ),
inference(forward_subsumption_resolution,[],[f22131,f5074]) ).
thf(f22137,plain,
( ~ spl0_154
| ~ spl0_186
| ~ spl0_281 ),
inference(avatar_contradiction_clause,[],[f22136]) ).
thf(f22139,plain,
( spl0_193
| ~ spl0_197
| spl0_385
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f22098,f15366,f15838,f5246,f5122]) ).
thf(f22140,plain,
( spl0_136
| spl0_9
| ~ spl0_34
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f21433,f15192,f884,f133,f3765]) ).
thf(f22141,plain,
( spl0_197
| ~ spl0_10
| spl0_234
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f21151,f5851,f6037,f136,f5246]) ).
thf(f22142,plain,
( spl0_42
| ~ spl0_406
| ~ spl0_11
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f21873,f15834,f140,f16389,f964]) ).
thf(f22143,plain,
( spl0_404
| ~ spl0_202
| ~ spl0_11
| ~ spl0_372 ),
inference(avatar_split_clause,[],[f21635,f15373,f140,f5437,f16381]) ).
thf(f22180,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X1 )
| ( $true
= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
= $true ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f279,f965]) ).
thf(f22181,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f185,f965]) ).
thf(f22185,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( $true
= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f22181]) ).
thf(f22186,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f22180]) ).
thf(f22193,plain,
( spl0_96
| spl0_14
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f22185,f964,f285,f2538]) ).
thf(f22194,plain,
( spl0_14
| spl0_97
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f22186,f964,f2543,f285]) ).
thf(f22229,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_236 ),
inference(constrained_superposition,[],[f185,f6048]) ).
thf(f22234,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f22229]) ).
thf(f22241,plain,
( spl0_229
| spl0_14
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f22234,f6047,f285,f5871]) ).
thf(f22384,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_153
| ~ spl0_351 ),
inference(constrained_superposition,[],[f15193,f4404]) ).
thf(f22386,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_153 ),
inference(constrained_superposition,[],[f825,f4404]) ).
thf(f22388,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_153 ),
inference(constrained_superposition,[],[f47,f4404]) ).
thf(f22397,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f22386]) ).
thf(f22398,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f22388]) ).
thf(f22399,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_153
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f22384]) ).
thf(f22449,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_187
| ~ spl0_288 ),
inference(constrained_superposition,[],[f10350,f5078]) ).
thf(f22455,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_187
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f22449]) ).
thf(f22460,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_44
| ~ spl0_187
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f22455,f4350]) ).
thf(f22462,plain,
( $false
| ~ spl0_40
| spl0_44
| ~ spl0_187
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f22460,f958]) ).
thf(f22463,plain,
( ~ spl0_40
| spl0_44
| ~ spl0_187
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f22462]) ).
thf(f22464,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_153
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f22398,f5247]) ).
thf(f22470,plain,
( ~ spl0_192
| spl0_193
| ~ spl0_153
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f22399,f15192,f4403,f5122,f5119]) ).
thf(f22471,plain,
( spl0_149
| spl0_193
| ~ spl0_192
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f22397,f4403,f5119,f5122,f4389]) ).
thf(f22474,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| spl0_136
| ~ spl0_153
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f22464,f6840]) ).
thf(f22477,plain,
( spl0_193
| spl0_136
| ~ spl0_153
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f22474,f5246,f4403,f3765,f5122]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f71]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f89]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f116]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f138]) ).
cnf(s6,plain,
( spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f142]) ).
cnf(s9,plain,
( spl0_10
| ~ spl0_14 ),
inference(sat_conversion,[],[f297]) ).
cnf(s11,plain,
( ~ spl0_1
| ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f333]) ).
cnf(s14,plain,
( spl0_3
| ~ spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f419]) ).
cnf(s18,plain,
( ~ spl0_10
| spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f472]) ).
cnf(s22,plain,
( spl0_5
| ~ spl0_22 ),
inference(sat_conversion,[],[f490]) ).
cnf(s25,plain,
( ~ spl0_10
| ~ spl0_14
| spl0_26 ),
inference(sat_conversion,[],[f576]) ).
cnf(s27,plain,
( spl0_29
| spl0_30
| ~ spl0_31 ),
inference(sat_conversion,[],[f844]) ).
cnf(s30,plain,
( spl0_9
| spl0_33
| ~ spl0_34 ),
inference(sat_conversion,[],[f886]) ).
cnf(s31,plain,
( ~ spl0_23
| spl0_31
| spl0_34 ),
inference(sat_conversion,[],[f904]) ).
cnf(s33,plain,
( ~ spl0_1
| ~ spl0_9 ),
inference(sat_conversion,[],[f915]) ).
cnf(s42,plain,
( ~ spl0_30
| spl0_40 ),
inference(sat_conversion,[],[f987]) ).
cnf(s43,plain,
( spl0_28
| ~ spl0_30 ),
inference(sat_conversion,[],[f988]) ).
cnf(s51,plain,
( spl0_31
| spl0_48 ),
inference(sat_conversion,[],[f1064]) ).
cnf(s56,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_42
| spl0_48 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s59,plain,
( ~ spl0_29
| spl0_57
| spl0_58 ),
inference(sat_conversion,[],[f1196]) ).
cnf(s64,plain,
( ~ spl0_30
| ~ spl0_42 ),
inference(sat_conversion,[],[f1227]) ).
cnf(s67,plain,
( ~ spl0_7
| spl0_36
| ~ spl0_40 ),
inference(sat_conversion,[],[f1240]) ).
cnf(s79,plain,
( ~ spl0_28
| spl0_44
| spl0_66 ),
inference(sat_conversion,[],[f1547]) ).
cnf(s81,plain,
( ~ spl0_30
| spl0_66 ),
inference(sat_conversion,[],[f1551]) ).
cnf(s85,plain,
( ~ spl0_23
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f1558]) ).
cnf(s91,plain,
~ spl0_44,
inference(sat_conversion,[],[f1652]) ).
cnf(s99,plain,
( ~ spl0_10
| ~ spl0_24
| spl0_40
| spl0_44
| ~ spl0_60 ),
inference(sat_conversion,[],[f1700]) ).
cnf(s136,plain,
( ~ spl0_14
| spl0_44
| spl0_75 ),
inference(sat_conversion,[],[f2527]) ).
cnf(s137,plain,
( ~ spl0_7
| spl0_75 ),
inference(sat_conversion,[],[f2530]) ).
cnf(s141,plain,
( ~ spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f2541]) ).
cnf(s144,plain,
( spl0_4
| spl0_14
| ~ spl0_23
| spl0_98 ),
inference(sat_conversion,[],[f2552]) ).
cnf(s177,plain,
( spl0_41
| spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f2885]) ).
cnf(s179,plain,
( ~ spl0_11
| spl0_42
| ~ spl0_56
| spl0_86 ),
inference(sat_conversion,[],[f2888]) ).
cnf(s183,plain,
( ~ spl0_1
| spl0_30
| ~ spl0_31
| ~ spl0_35 ),
inference(sat_conversion,[],[f2922]) ).
cnf(s185,plain,
( spl0_4
| spl0_30
| ~ spl0_31
| ~ spl0_35 ),
inference(sat_conversion,[],[f2925]) ).
cnf(s190,plain,
( ~ spl0_14
| ~ spl0_75
| spl0_109 ),
inference(sat_conversion,[],[f3062]) ).
cnf(s193,plain,
( ~ spl0_11
| ~ spl0_28
| ~ spl0_66
| spl0_67 ),
inference(sat_conversion,[],[f3144]) ).
cnf(s194,plain,
( ~ spl0_28
| spl0_40 ),
inference(sat_conversion,[],[f3146]) ).
cnf(s229,plain,
( spl0_3
| ~ spl0_66
| spl0_133 ),
inference(sat_conversion,[],[f3568]) ).
cnf(s242,plain,
( spl0_42
| ~ spl0_57
| ~ spl0_75 ),
inference(sat_conversion,[],[f3830]) ).
cnf(s279,plain,
( ~ spl0_1
| ~ spl0_34
| spl0_44
| ~ spl0_150
| spl0_155 ),
inference(sat_conversion,[],[f4412]) ).
cnf(s280,plain,
( ~ spl0_1
| ~ spl0_34
| spl0_44
| spl0_136
| spl0_149 ),
inference(sat_conversion,[],[f4413]) ).
cnf(s295,plain,
~ spl0_135,
inference(sat_conversion,[],[f4602]) ).
cnf(s302,plain,
( ~ spl0_133
| ~ spl0_149
| ~ spl0_160 ),
inference(sat_conversion,[],[f4656]) ).
cnf(s305,plain,
( ~ spl0_57
| ~ spl0_149
| ~ spl0_155 ),
inference(sat_conversion,[],[f4728]) ).
cnf(s309,plain,
( spl0_136
| spl0_150 ),
inference(sat_conversion,[],[f4747]) ).
cnf(s312,plain,
( ~ spl0_31
| ~ spl0_156
| ~ spl0_169
| spl0_172 ),
inference(sat_conversion,[],[f4779]) ).
cnf(s314,plain,
( spl0_48
| ~ spl0_156
| ~ spl0_169
| spl0_172 ),
inference(sat_conversion,[],[f4785]) ).
cnf(s315,plain,
( ~ spl0_70
| ~ spl0_155
| spl0_165
| spl0_166 ),
inference(sat_conversion,[],[f4814]) ).
cnf(s316,plain,
( ~ spl0_40
| spl0_106
| ~ spl0_155
| spl0_167 ),
inference(sat_conversion,[],[f4815]) ).
cnf(s321,plain,
( ~ spl0_39
| ~ spl0_57
| spl0_135
| spl0_136
| ~ spl0_155 ),
inference(sat_conversion,[],[f4847]) ).
cnf(s325,plain,
( spl0_34
| spl0_40 ),
inference(sat_conversion,[],[f4858]) ).
cnf(s330,plain,
( ~ spl0_56
| ~ spl0_57
| spl0_135
| ~ spl0_155
| spl0_179 ),
inference(sat_conversion,[],[f4881]) ).
cnf(s336,plain,
( ~ spl0_1
| spl0_40
| spl0_44
| ~ spl0_57
| spl0_136
| ~ spl0_155 ),
inference(sat_conversion,[],[f4890]) ).
cnf(s342,plain,
( ~ spl0_40
| ~ spl0_48
| ~ spl0_57 ),
inference(sat_conversion,[],[f4922]) ).
cnf(s358,plain,
~ spl0_194,
inference(sat_conversion,[],[f5198]) ).
cnf(s359,plain,
( ~ spl0_152
| ~ spl0_193 ),
inference(sat_conversion,[],[f5206]) ).
cnf(s360,plain,
( ~ spl0_67
| ~ spl0_193
| spl0_194 ),
inference(sat_conversion,[],[f5212]) ).
cnf(s361,plain,
( spl0_190
| ~ spl0_193 ),
inference(sat_conversion,[],[f5213]) ).
cnf(s362,plain,
( spl0_187
| ~ spl0_193 ),
inference(sat_conversion,[],[f5214]) ).
cnf(s363,plain,
( spl0_185
| ~ spl0_193 ),
inference(sat_conversion,[],[f5216]) ).
cnf(s369,plain,
( ~ spl0_39
| ~ spl0_57
| spl0_185
| spl0_194
| ~ spl0_195 ),
inference(sat_conversion,[],[f5272]) ).
cnf(s370,plain,
( ~ spl0_56
| ~ spl0_57
| spl0_186
| spl0_194
| ~ spl0_195 ),
inference(sat_conversion,[],[f5273]) ).
cnf(s382,plain,
( ~ spl0_106
| ~ spl0_151
| spl0_197 ),
inference(sat_conversion,[],[f5511]) ).
cnf(s387,plain,
( ~ spl0_154
| ~ spl0_165
| ~ spl0_185 ),
inference(sat_conversion,[],[f5556]) ).
cnf(s395,plain,
( ~ spl0_136
| ~ spl0_168
| spl0_207 ),
inference(sat_conversion,[],[f5721]) ).
cnf(s400,plain,
( ~ spl0_155
| ~ spl0_179
| ~ spl0_207 ),
inference(sat_conversion,[],[f5750]) ).
cnf(s404,plain,
( spl0_30
| ~ spl0_31
| ~ spl0_57
| ~ spl0_155
| ~ spl0_169 ),
inference(sat_conversion,[],[f5785]) ).
cnf(s411,plain,
( spl0_44
| spl0_66
| spl0_216 ),
inference(sat_conversion,[],[f5816]) ).
cnf(s412,plain,
( spl0_7
| ~ spl0_42
| spl0_149
| spl0_160 ),
inference(sat_conversion,[],[f5817]) ).
cnf(s418,plain,
( ~ spl0_5
| ~ spl0_40
| spl0_42 ),
inference(sat_conversion,[],[f5841]) ).
cnf(s428,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_197
| spl0_202 ),
inference(sat_conversion,[],[f5887]) ).
cnf(s429,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_67
| spl0_233 ),
inference(sat_conversion,[],[f5892]) ).
cnf(s430,plain,
( ~ spl0_1
| spl0_7
| spl0_160
| spl0_179 ),
inference(sat_conversion,[],[f5893]) ).
cnf(s434,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_106
| ~ spl0_151
| spl0_202 ),
inference(sat_conversion,[],[f5901]) ).
cnf(s441,plain,
( ~ spl0_22
| ~ spl0_40
| ~ spl0_66 ),
inference(sat_conversion,[],[f5961]) ).
cnf(s442,plain,
( ~ spl0_26
| ~ spl0_40
| ~ spl0_66
| spl0_70 ),
inference(sat_conversion,[],[f5963]) ).
cnf(s443,plain,
( ~ spl0_7
| ~ spl0_211 ),
inference(sat_conversion,[],[f5992]) ).
cnf(s447,plain,
( ~ spl0_1
| spl0_7
| spl0_186
| spl0_202 ),
inference(sat_conversion,[],[f6031]) ).
cnf(s448,plain,
( ~ spl0_1
| spl0_10
| spl0_54 ),
inference(sat_conversion,[],[f6035]) ).
cnf(s451,plain,
( ~ spl0_11
| ~ spl0_66
| ~ spl0_155
| spl0_236 ),
inference(sat_conversion,[],[f6049]) ).
cnf(s456,plain,
( spl0_169
| spl0_179 ),
inference(sat_conversion,[],[f6064]) ).
cnf(s475,plain,
( spl0_42
| spl0_44
| spl0_66 ),
inference(sat_conversion,[],[f6132]) ).
cnf(s488,plain,
( spl0_10
| ~ spl0_39
| ~ spl0_40
| ~ spl0_240 ),
inference(sat_conversion,[],[f6239]) ).
cnf(s489,plain,
( ~ spl0_3
| ~ spl0_105
| ~ spl0_160 ),
inference(sat_conversion,[],[f6266]) ).
cnf(s490,plain,
( ~ spl0_3
| ~ spl0_66
| ~ spl0_75 ),
inference(sat_conversion,[],[f6271]) ).
cnf(s491,plain,
( ~ spl0_3
| spl0_10
| ~ spl0_39
| ~ spl0_66 ),
inference(sat_conversion,[],[f6279]) ).
cnf(s493,plain,
( ~ spl0_48
| ~ spl0_106
| ~ spl0_155 ),
inference(sat_conversion,[],[f6282]) ).
cnf(s495,plain,
( ~ spl0_48
| spl0_143 ),
inference(sat_conversion,[],[f6306]) ).
cnf(s499,plain,
( ~ spl0_42
| spl0_216 ),
inference(sat_conversion,[],[f6335]) ).
cnf(s501,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_31
| ~ spl0_42 ),
inference(sat_conversion,[],[f6337]) ).
cnf(s503,plain,
( spl0_44
| spl0_75
| spl0_216 ),
inference(sat_conversion,[],[f6342]) ).
cnf(s510,plain,
( ~ spl0_4
| ~ spl0_36
| ~ spl0_48
| spl0_140 ),
inference(sat_conversion,[],[f6356]) ).
cnf(s513,plain,
( ~ spl0_4
| spl0_31
| ~ spl0_132
| spl0_140 ),
inference(sat_conversion,[],[f6363]) ).
cnf(s517,plain,
( spl0_31
| spl0_91
| ~ spl0_109 ),
inference(sat_conversion,[],[f6370]) ).
cnf(s519,plain,
( ~ spl0_48
| spl0_91
| ~ spl0_109 ),
inference(sat_conversion,[],[f6375]) ).
cnf(s539,plain,
~ spl0_166,
inference(sat_conversion,[],[f6524]) ).
cnf(s542,plain,
( spl0_149
| ~ spl0_153
| ~ spl0_192
| spl0_193 ),
inference(sat_conversion,[],[f6560]) ).
cnf(s545,plain,
( ~ spl0_153
| spl0_179
| spl0_193
| ~ spl0_197 ),
inference(sat_conversion,[],[f6564]) ).
cnf(s547,plain,
( ~ spl0_186
| ~ spl0_195
| ~ spl0_207 ),
inference(sat_conversion,[],[f6583]) ).
cnf(s548,plain,
( ~ spl0_193
| spl0_202 ),
inference(sat_conversion,[],[f6592]) ).
cnf(s555,plain,
( ~ spl0_49
| ~ spl0_187
| ~ spl0_224 ),
inference(sat_conversion,[],[f6649]) ).
cnf(s557,plain,
( ~ spl0_151
| ~ spl0_193
| spl0_238
| spl0_260 ),
inference(sat_conversion,[],[f6675]) ).
cnf(s558,plain,
( ~ spl0_75
| ~ spl0_155
| ~ spl0_238 ),
inference(sat_conversion,[],[f6696]) ).
cnf(s560,plain,
( spl0_10
| ~ spl0_39
| spl0_75 ),
inference(sat_conversion,[],[f6717]) ).
cnf(s569,plain,
( spl0_149
| ~ spl0_172 ),
inference(sat_conversion,[],[f6757]) ).
cnf(s578,plain,
( ~ spl0_5
| ~ spl0_136
| spl0_236 ),
inference(sat_conversion,[],[f6833]) ).
cnf(s588,plain,
( ~ spl0_105
| ~ spl0_154
| ~ spl0_263 ),
inference(sat_conversion,[],[f6889]) ).
cnf(s590,plain,
( ~ spl0_10
| spl0_197
| ~ spl0_263 ),
inference(sat_conversion,[],[f6893]) ).
cnf(s591,plain,
( ~ spl0_8
| spl0_136 ),
inference(sat_conversion,[],[f6910]) ).
cnf(s596,plain,
( ~ spl0_152
| spl0_172
| ~ spl0_211
| ~ spl0_222 ),
inference(sat_conversion,[],[f7017]) ).
cnf(s599,plain,
( spl0_7
| ~ spl0_152
| ~ spl0_236
| ~ spl0_261 ),
inference(sat_conversion,[],[f7116]) ).
cnf(s602,plain,
( ~ spl0_48
| spl0_57
| ~ spl0_187
| ~ spl0_253 ),
inference(sat_conversion,[],[f7235]) ).
cnf(s603,plain,
( spl0_30
| ~ spl0_152
| spl0_187
| ~ spl0_266 ),
inference(sat_conversion,[],[f7239]) ).
cnf(s605,plain,
( spl0_30
| ~ spl0_35
| spl0_187
| ~ spl0_211 ),
inference(sat_conversion,[],[f7243]) ).
cnf(s606,plain,
( spl0_202
| spl0_261 ),
inference(sat_conversion,[],[f7244]) ).
cnf(s607,plain,
( ~ spl0_5
| ~ spl0_185
| spl0_261 ),
inference(sat_conversion,[],[f7247]) ).
cnf(s615,plain,
( spl0_105
| spl0_166
| spl0_222 ),
inference(sat_conversion,[],[f7265]) ).
cnf(s616,plain,
( spl0_186
| spl0_197 ),
inference(sat_conversion,[],[f7267]) ).
cnf(s618,plain,
( spl0_35
| spl0_75 ),
inference(sat_conversion,[],[f7270]) ).
cnf(s641,plain,
( ~ spl0_151
| ~ spl0_187
| ~ spl0_202
| ~ spl0_243 ),
inference(sat_conversion,[],[f7483]) ).
cnf(s643,plain,
( ~ spl0_151
| ~ spl0_167
| ~ spl0_185
| ~ spl0_187 ),
inference(sat_conversion,[],[f7486]) ).
cnf(s644,plain,
( ~ spl0_58
| ~ spl0_151
| spl0_179
| ~ spl0_187 ),
inference(sat_conversion,[],[f7487]) ).
cnf(s650,plain,
( ~ spl0_153
| ~ spl0_172 ),
inference(sat_conversion,[],[f7523]) ).
cnf(s655,plain,
( ~ spl0_140
| ~ spl0_186
| spl0_211 ),
inference(sat_conversion,[],[f7559]) ).
cnf(s656,plain,
( ~ spl0_101
| ~ spl0_136
| ~ spl0_149
| ~ spl0_160 ),
inference(sat_conversion,[],[f7612]) ).
cnf(s670,plain,
( ~ spl0_136
| ~ spl0_154
| ~ spl0_160
| ~ spl0_258 ),
inference(sat_conversion,[],[f7755]) ).
cnf(s671,plain,
( ~ spl0_185
| spl0_211
| ~ spl0_240 ),
inference(sat_conversion,[],[f7787]) ).
cnf(s674,plain,
( spl0_9
| ~ spl0_15
| spl0_40
| ~ spl0_216 ),
inference(sat_conversion,[],[f7799]) ).
cnf(s675,plain,
( spl0_136
| ~ spl0_172 ),
inference(sat_conversion,[],[f7801]) ).
cnf(s676,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_10
| spl0_275 ),
inference(sat_conversion,[],[f7806]) ).
cnf(s683,plain,
( ~ spl0_1
| spl0_10
| spl0_40
| spl0_75 ),
inference(sat_conversion,[],[f7817]) ).
cnf(s684,plain,
( ~ spl0_2
| ~ spl0_40
| spl0_42
| ~ spl0_155
| ~ spl0_179
| spl0_238 ),
inference(sat_conversion,[],[f7818]) ).
cnf(s695,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f7839]) ).
cnf(s700,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(sat_conversion,[],[f7849]) ).
cnf(s721,plain,
( ~ spl0_151
| spl0_169
| ~ spl0_185
| spl0_206 ),
inference(sat_conversion,[],[f7999]) ).
cnf(s722,plain,
( ~ spl0_10
| ~ spl0_179
| ~ spl0_238 ),
inference(sat_conversion,[],[f8022]) ).
cnf(s730,plain,
( ~ spl0_58
| ~ spl0_149
| ~ spl0_154
| spl0_186 ),
inference(sat_conversion,[],[f8081]) ).
cnf(s735,plain,
~ spl0_225,
inference(sat_conversion,[],[f8144]) ).
cnf(s736,plain,
( ~ spl0_23
| ~ spl0_185
| spl0_197 ),
inference(sat_conversion,[],[f8150]) ).
cnf(s740,plain,
( ~ spl0_3
| ~ spl0_202
| ~ spl0_224 ),
inference(sat_conversion,[],[f8170]) ).
cnf(s741,plain,
( ~ spl0_1
| spl0_40
| spl0_166
| spl0_185
| spl0_187 ),
inference(sat_conversion,[],[f8172]) ).
cnf(s742,plain,
( ~ spl0_2
| ~ spl0_136
| ~ spl0_154
| ~ spl0_186
| spl0_236
| spl0_263 ),
inference(sat_conversion,[],[f8174]) ).
cnf(s743,plain,
( ~ spl0_136
| ~ spl0_154
| spl0_197
| spl0_265 ),
inference(sat_conversion,[],[f8175]) ).
cnf(s750,plain,
( ~ spl0_22
| ~ spl0_136
| ~ spl0_160 ),
inference(sat_conversion,[],[f8239]) ).
cnf(s761,plain,
( ~ spl0_48
| spl0_57
| ~ spl0_149
| ~ spl0_274 ),
inference(sat_conversion,[],[f8480]) ).
cnf(s765,plain,
( ~ spl0_172
| ~ spl0_236 ),
inference(sat_conversion,[],[f8508]) ).
cnf(s776,plain,
( ~ spl0_66
| ~ spl0_154
| ~ spl0_186
| spl0_211
| ~ spl0_274 ),
inference(sat_conversion,[],[f8580]) ).
cnf(s782,plain,
( ~ spl0_136
| spl0_140
| ~ spl0_239 ),
inference(sat_conversion,[],[f8660]) ).
cnf(s783,plain,
( ~ spl0_154
| spl0_203
| ~ spl0_239 ),
inference(sat_conversion,[],[f8661]) ).
cnf(s785,plain,
( ~ spl0_105
| ~ spl0_140
| ~ spl0_179 ),
inference(sat_conversion,[],[f8683]) ).
cnf(s789,plain,
( spl0_149
| spl0_266 ),
inference(sat_conversion,[],[f8689]) ).
cnf(s792,plain,
( spl0_30
| ~ spl0_35
| spl0_149
| ~ spl0_236 ),
inference(sat_conversion,[],[f8696]) ).
cnf(s793,plain,
( ~ spl0_10
| ~ spl0_75
| ~ spl0_167
| spl0_222 ),
inference(sat_conversion,[],[f8699]) ).
cnf(s800,plain,
( ~ spl0_1
| spl0_30
| ~ spl0_31
| spl0_44
| spl0_75 ),
inference(sat_conversion,[],[f8720]) ).
cnf(s813,plain,
( ~ spl0_52
| ~ spl0_186
| ~ spl0_187 ),
inference(sat_conversion,[],[f8854]) ).
cnf(s816,plain,
( ~ spl0_48
| ~ spl0_75
| ~ spl0_187
| ~ spl0_203 ),
inference(sat_conversion,[],[f8927]) ).
cnf(s819,plain,
( ~ spl0_185
| ~ spl0_196
| spl0_207 ),
inference(sat_conversion,[],[f9026]) ).
cnf(s822,plain,
( ~ spl0_187
| ~ spl0_196
| spl0_207 ),
inference(sat_conversion,[],[f9029]) ).
cnf(s824,plain,
( ~ spl0_41
| ~ spl0_185
| ~ spl0_187
| spl0_203 ),
inference(sat_conversion,[],[f9059]) ).
cnf(s827,plain,
( ~ spl0_48
| ~ spl0_75
| ~ spl0_140 ),
inference(sat_conversion,[],[f9085]) ).
cnf(s828,plain,
( ~ spl0_149
| ~ spl0_154
| ~ spl0_160
| ~ spl0_257 ),
inference(sat_conversion,[],[f9087]) ).
cnf(s830,plain,
( ~ spl0_4
| ~ spl0_11
| spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f9091]) ).
cnf(s835,plain,
( ~ spl0_4
| ~ spl0_48
| spl0_197
| ~ spl0_257 ),
inference(sat_conversion,[],[f9102]) ).
cnf(s842,plain,
( ~ spl0_1
| spl0_105
| spl0_166
| ~ spl0_169
| spl0_172 ),
inference(sat_conversion,[],[f9148]) ).
cnf(s847,plain,
( ~ spl0_23
| ~ spl0_185
| ~ spl0_186 ),
inference(sat_conversion,[],[f9173]) ).
cnf(s848,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_23 ),
inference(sat_conversion,[],[f9174]) ).
cnf(s849,plain,
( ~ spl0_23
| ~ spl0_136
| ~ spl0_179 ),
inference(sat_conversion,[],[f9176]) ).
cnf(s851,plain,
( ~ spl0_1
| spl0_193
| ~ spl0_197
| spl0_224
| spl0_225 ),
inference(sat_conversion,[],[f9206]) ).
cnf(s869,plain,
( ~ spl0_154
| ~ spl0_162
| ~ spl0_185
| spl0_225 ),
inference(sat_conversion,[],[f9447]) ).
cnf(s879,plain,
( spl0_160
| spl0_236 ),
inference(sat_conversion,[],[f9491]) ).
cnf(s891,plain,
( ~ spl0_155
| spl0_161
| ~ spl0_280 ),
inference(sat_conversion,[],[f9663]) ).
cnf(s896,plain,
( spl0_140
| ~ spl0_185
| ~ spl0_234 ),
inference(sat_conversion,[],[f9728]) ).
cnf(s901,plain,
( ~ spl0_185
| ~ spl0_265
| spl0_281 ),
inference(sat_conversion,[],[f9805]) ).
cnf(s908,plain,
( spl0_44
| ~ spl0_109
| spl0_133
| ~ spl0_149
| ~ spl0_155 ),
inference(sat_conversion,[],[f9917]) ).
cnf(s922,plain,
( ~ spl0_48
| ~ spl0_136
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(sat_conversion,[],[f10213]) ).
cnf(s923,plain,
( ~ spl0_10
| spl0_35
| ~ spl0_48
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(sat_conversion,[],[f10216]) ).
cnf(s924,plain,
( ~ spl0_10
| ~ spl0_14
| spl0_44
| ~ spl0_48
| ~ spl0_143
| ~ spl0_149
| ~ spl0_155 ),
inference(sat_conversion,[],[f10218]) ).
cnf(s927,plain,
( spl0_30
| ~ spl0_31
| spl0_149
| ~ spl0_169 ),
inference(sat_conversion,[],[f10221]) ).
cnf(s928,plain,
( spl0_37
| ~ spl0_40
| ~ spl0_143 ),
inference(sat_conversion,[],[f10235]) ).
cnf(s944,plain,
( ~ spl0_151
| ~ spl0_179
| ~ spl0_206
| spl0_289 ),
inference(sat_conversion,[],[f10394]) ).
cnf(s947,plain,
( ~ spl0_10
| ~ spl0_14
| ~ spl0_37
| spl0_44
| spl0_140 ),
inference(sat_conversion,[],[f10486]) ).
cnf(s961,plain,
( ~ spl0_7
| ~ spl0_14
| ~ spl0_151
| ~ spl0_179
| ~ spl0_202
| spl0_288 ),
inference(sat_conversion,[],[f10708]) ).
cnf(s962,plain,
( ~ spl0_98
| spl0_202
| spl0_225 ),
inference(sat_conversion,[],[f10781]) ).
cnf(s967,plain,
( ~ spl0_7
| ~ spl0_14
| ~ spl0_151
| ~ spl0_154
| spl0_166
| spl0_272 ),
inference(sat_conversion,[],[f10881]) ).
cnf(s972,plain,
( ~ spl0_10
| ~ spl0_14
| ~ spl0_136
| spl0_166
| spl0_291 ),
inference(sat_conversion,[],[f11086]) ).
cnf(s973,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_136
| spl0_291 ),
inference(sat_conversion,[],[f11087]) ).
cnf(s975,plain,
( ~ spl0_10
| spl0_23
| ~ spl0_136
| ~ spl0_291 ),
inference(sat_conversion,[],[f11114]) ).
cnf(s978,plain,
( spl0_106
| ~ spl0_151
| ~ spl0_185
| spl0_292 ),
inference(sat_conversion,[],[f11207]) ).
cnf(s980,plain,
( ~ spl0_10
| ~ spl0_14
| ~ spl0_105
| spl0_225
| ~ spl0_292 ),
inference(sat_conversion,[],[f11236]) ).
cnf(s981,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_105
| ~ spl0_292 ),
inference(sat_conversion,[],[f11238]) ).
cnf(s992,plain,
( ~ spl0_136
| ~ spl0_151
| ~ spl0_185
| spl0_298 ),
inference(sat_conversion,[],[f11277]) ).
cnf(s1008,plain,
( ~ spl0_195
| spl0_203
| ~ spl0_280 ),
inference(sat_conversion,[],[f11401]) ).
cnf(s1014,plain,
( ~ spl0_1
| ~ spl0_23
| ~ spl0_48
| ~ spl0_154
| spl0_166
| spl0_185
| ~ spl0_224
| ~ spl0_291 ),
inference(sat_conversion,[],[f11512]) ).
cnf(s1015,plain,
( ~ spl0_66
| ~ spl0_155
| ~ spl0_223
| spl0_299 ),
inference(sat_conversion,[],[f11517]) ).
cnf(s1027,plain,
( ~ spl0_1
| spl0_40
| spl0_44
| spl0_136
| spl0_149 ),
inference(sat_conversion,[],[f11546]) ).
cnf(s1038,plain,
( ~ spl0_4
| ~ spl0_48
| spl0_169
| ~ spl0_243 ),
inference(sat_conversion,[],[f11569]) ).
cnf(s1040,plain,
( ~ spl0_9
| spl0_305 ),
inference(sat_conversion,[],[f11573]) ).
cnf(s1047,plain,
( ~ spl0_9
| ~ spl0_169 ),
inference(sat_conversion,[],[f11627]) ).
cnf(s1052,plain,
( ~ spl0_4
| spl0_140
| ~ spl0_179
| ~ spl0_223 ),
inference(sat_conversion,[],[f11661]) ).
cnf(s1057,plain,
( ~ spl0_4
| ~ spl0_186
| ~ spl0_219
| spl0_299 ),
inference(sat_conversion,[],[f11700]) ).
cnf(s1075,plain,
( ~ spl0_153
| spl0_193
| ~ spl0_211
| ~ spl0_222 ),
inference(sat_conversion,[],[f11938]) ).
cnf(s1081,plain,
( spl0_9
| ~ spl0_150
| ~ spl0_153
| spl0_185 ),
inference(sat_conversion,[],[f12017]) ).
cnf(s1083,plain,
( ~ spl0_154
| ~ spl0_161
| ~ spl0_186
| ~ spl0_224 ),
inference(sat_conversion,[],[f12049]) ).
cnf(s1086,plain,
( ~ spl0_149
| ~ spl0_151
| ~ spl0_155
| ~ spl0_187 ),
inference(sat_conversion,[],[f12164]) ).
cnf(s1090,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_186
| spl0_261 ),
inference(sat_conversion,[],[f12177]) ).
cnf(s1094,plain,
( ~ spl0_48
| ~ spl0_149
| ~ spl0_155
| spl0_169
| spl0_207 ),
inference(sat_conversion,[],[f12181]) ).
cnf(s1096,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_179
| spl0_236 ),
inference(sat_conversion,[],[f12192]) ).
cnf(s1099,plain,
( ~ spl0_9
| spl0_186 ),
inference(sat_conversion,[],[f12214]) ).
cnf(s1111,plain,
( ~ spl0_105
| ~ spl0_151
| ~ spl0_179
| ~ spl0_203 ),
inference(sat_conversion,[],[f12361]) ).
cnf(s1112,plain,
( ~ spl0_9
| ~ spl0_197 ),
inference(sat_conversion,[],[f12366]) ).
cnf(s1117,plain,
( ~ spl0_153
| spl0_193
| ~ spl0_211
| ~ spl0_236 ),
inference(sat_conversion,[],[f12398]) ).
cnf(s1121,plain,
( spl0_7
| ~ spl0_42
| ~ spl0_156
| ~ spl0_236 ),
inference(sat_conversion,[],[f12429]) ).
cnf(s1123,plain,
( spl0_52
| ~ spl0_75
| ~ spl0_149
| ~ spl0_291 ),
inference(sat_conversion,[],[f12432]) ).
cnf(s1124,plain,
( ~ spl0_9
| ~ spl0_31 ),
inference(sat_conversion,[],[f12434]) ).
cnf(s1128,plain,
( ~ spl0_91
| ~ spl0_149
| ~ spl0_160
| spl0_162 ),
inference(sat_conversion,[],[f12439]) ).
cnf(s1162,plain,
( ~ spl0_4
| ~ spl0_179
| ~ spl0_277
| spl0_299 ),
inference(sat_conversion,[],[f12786]) ).
cnf(s1167,plain,
( spl0_23
| ~ spl0_40
| spl0_314 ),
inference(sat_conversion,[],[f12819]) ).
cnf(s1168,plain,
( ~ spl0_105
| ~ spl0_151
| ~ spl0_227
| spl0_272 ),
inference(sat_conversion,[],[f12847]) ).
cnf(s1169,plain,
( ~ spl0_40
| ~ spl0_149
| ~ spl0_155
| ~ spl0_179
| spl0_207 ),
inference(sat_conversion,[],[f12883]) ).
cnf(s1170,plain,
( ~ spl0_10
| ~ spl0_105
| ~ spl0_149
| ~ spl0_179
| spl0_299 ),
inference(sat_conversion,[],[f12884]) ).
cnf(s1172,plain,
( ~ spl0_105
| ~ spl0_154
| spl0_227 ),
inference(sat_conversion,[],[f12904]) ).
cnf(s1174,plain,
( ~ spl0_151
| spl0_289
| spl0_315 ),
inference(sat_conversion,[],[f12989]) ).
cnf(s1190,plain,
( spl0_135
| spl0_136
| ~ spl0_233 ),
inference(sat_conversion,[],[f13118]) ).
cnf(s1194,plain,
( spl0_136
| ~ spl0_170 ),
inference(sat_conversion,[],[f13188]) ).
cnf(s1196,plain,
( ~ spl0_6
| spl0_185
| spl0_211 ),
inference(sat_conversion,[],[f13209]) ).
cnf(s1197,plain,
( ~ spl0_169
| spl0_317 ),
inference(sat_conversion,[],[f13219]) ).
cnf(s1210,plain,
( spl0_7
| ~ spl0_42
| ~ spl0_271
| spl0_323 ),
inference(sat_conversion,[],[f13361]) ).
cnf(s1212,plain,
( ~ spl0_54
| spl0_136
| spl0_160 ),
inference(sat_conversion,[],[f13412]) ).
cnf(s1217,plain,
( ~ spl0_151
| ~ spl0_154
| ~ spl0_289 ),
inference(sat_conversion,[],[f13500]) ).
cnf(s1218,plain,
( ~ spl0_149
| ~ spl0_155
| ~ spl0_289 ),
inference(sat_conversion,[],[f13504]) ).
cnf(s1221,plain,
( ~ spl0_39
| spl0_185
| spl0_187
| spl0_194 ),
inference(sat_conversion,[],[f13559]) ).
cnf(s1234,plain,
( ~ spl0_22
| ~ spl0_190
| spl0_261 ),
inference(sat_conversion,[],[f13700]) ).
cnf(s1244,plain,
( ~ spl0_97
| spl0_187
| spl0_194
| spl0_202
| spl0_225 ),
inference(sat_conversion,[],[f13827]) ).
cnf(s1247,plain,
( ~ spl0_86
| spl0_186
| spl0_194
| ~ spl0_202 ),
inference(sat_conversion,[],[f13859]) ).
cnf(s1248,plain,
( spl0_3
| ~ spl0_202
| spl0_325 ),
inference(sat_conversion,[],[f13897]) ).
cnf(s1265,plain,
( ~ spl0_33
| spl0_185
| spl0_187 ),
inference(sat_conversion,[],[f14371]) ).
cnf(s1269,plain,
( spl0_57
| ~ spl0_323
| spl0_330 ),
inference(sat_conversion,[],[f14472]) ).
cnf(s1275,plain,
( spl0_57
| spl0_136
| ~ spl0_149
| ~ spl0_314
| ~ spl0_317
| spl0_335 ),
inference(sat_conversion,[],[f14728]) ).
cnf(s1292,plain,
( ~ spl0_22
| spl0_30
| ~ spl0_35
| spl0_185
| ~ spl0_317
| ~ spl0_325
| ~ spl0_335
| spl0_344 ),
inference(sat_conversion,[],[f14929]) ).
cnf(s1316,plain,
( ~ spl0_154
| spl0_194
| spl0_225
| ~ spl0_344 ),
inference(sat_conversion,[],[f15220]) ).
cnf(s1322,plain,
( ~ spl0_11
| ~ spl0_154
| ~ spl0_160
| spl0_261 ),
inference(sat_conversion,[],[f15241]) ).
cnf(s1327,plain,
( ~ spl0_149
| ~ spl0_151
| ~ spl0_187
| spl0_359 ),
inference(sat_conversion,[],[f15251]) ).
cnf(s1330,plain,
( ~ spl0_11
| ~ spl0_151
| ~ spl0_202
| spl0_236 ),
inference(sat_conversion,[],[f15258]) ).
cnf(s1331,plain,
( ~ spl0_105
| ~ spl0_224
| ~ spl0_315 ),
inference(sat_conversion,[],[f15259]) ).
cnf(s1334,plain,
( ~ spl0_11
| ~ spl0_22
| ~ spl0_209
| spl0_236
| spl0_362 ),
inference(sat_conversion,[],[f15271]) ).
cnf(s1339,plain,
( ~ spl0_105
| spl0_211
| ~ spl0_315 ),
inference(sat_conversion,[],[f15285]) ).
cnf(s1340,plain,
( spl0_166
| spl0_192
| spl0_195 ),
inference(sat_conversion,[],[f15307]) ).
cnf(s1341,plain,
( spl0_105
| spl0_166
| spl0_365 ),
inference(sat_conversion,[],[f15311]) ).
cnf(s1342,plain,
( spl0_160
| spl0_166
| spl0_365 ),
inference(sat_conversion,[],[f15313]) ).
cnf(s1343,plain,
( spl0_166
| spl0_366
| spl0_367 ),
inference(sat_conversion,[],[f15320]) ).
cnf(s1344,plain,
( spl0_166
| spl0_368
| spl0_369 ),
inference(sat_conversion,[],[f15328]) ).
cnf(s1348,plain,
( spl0_135
| spl0_370
| spl0_371 ),
inference(sat_conversion,[],[f15368]) ).
cnf(s1349,plain,
( spl0_135
| spl0_155
| spl0_351 ),
inference(sat_conversion,[],[f15369]) ).
cnf(s1350,plain,
( spl0_135
| spl0_155
| spl0_156 ),
inference(sat_conversion,[],[f15371]) ).
cnf(s1351,plain,
( spl0_135
| spl0_372
| spl0_373 ),
inference(sat_conversion,[],[f15378]) ).
cnf(s1357,plain,
( spl0_160
| spl0_166
| spl0_236 ),
inference(sat_conversion,[],[f15417]) ).
cnf(s1363,plain,
( spl0_44
| spl0_75
| ~ spl0_156
| ~ spl0_262 ),
inference(sat_conversion,[],[f15461]) ).
cnf(s1370,plain,
( ~ spl0_96
| spl0_194
| spl0_195
| ~ spl0_261 ),
inference(sat_conversion,[],[f15523]) ).
cnf(s1379,plain,
( ~ spl0_266
| spl0_351 ),
inference(sat_conversion,[],[f15572]) ).
cnf(s1381,plain,
( spl0_135
| ~ spl0_187
| ~ spl0_335 ),
inference(sat_conversion,[],[f15598]) ).
cnf(s1382,plain,
( ~ spl0_42
| spl0_135
| spl0_149
| ~ spl0_229 ),
inference(sat_conversion,[],[f15601]) ).
cnf(s1386,plain,
( ~ spl0_192
| spl0_193
| ~ spl0_211
| ~ spl0_216 ),
inference(sat_conversion,[],[f15666]) ).
cnf(s1395,plain,
( ~ spl0_48
| ~ spl0_169
| spl0_172
| ~ spl0_330
| ~ spl0_366 ),
inference(sat_conversion,[],[f15832]) ).
cnf(s1432,plain,
( ~ spl0_314
| ~ spl0_384
| ~ spl0_385 ),
inference(sat_conversion,[],[f16156]) ).
cnf(s1442,plain,
( ~ spl0_315
| ~ spl0_367
| ~ spl0_370 ),
inference(sat_conversion,[],[f16271]) ).
cnf(s1447,plain,
( ~ spl0_48
| spl0_193
| ~ spl0_330
| ~ spl0_371 ),
inference(sat_conversion,[],[f16307]) ).
cnf(s1454,plain,
( ~ spl0_34
| spl0_135
| ~ spl0_150
| spl0_155
| ~ spl0_317 ),
inference(sat_conversion,[],[f16328]) ).
cnf(s1459,plain,
( spl0_193
| ~ spl0_197
| ~ spl0_371
| spl0_386 ),
inference(sat_conversion,[],[f16340]) ).
cnf(s1466,plain,
( ~ spl0_10
| spl0_35
| ~ spl0_314 ),
inference(sat_conversion,[],[f16359]) ).
cnf(s1467,plain,
( ~ spl0_35
| ~ spl0_42
| spl0_160
| spl0_166
| ~ spl0_266 ),
inference(sat_conversion,[],[f16360]) ).
cnf(s1471,plain,
( spl0_40
| spl0_166
| spl0_185
| spl0_195
| ~ spl0_317 ),
inference(sat_conversion,[],[f16365]) ).
cnf(s1473,plain,
( spl0_40
| spl0_44
| spl0_136
| spl0_155
| ~ spl0_317 ),
inference(sat_conversion,[],[f16367]) ).
cnf(s1474,plain,
( ~ spl0_34
| spl0_44
| spl0_136
| spl0_149
| ~ spl0_317 ),
inference(sat_conversion,[],[f16368]) ).
cnf(s1476,plain,
( spl0_40
| spl0_44
| spl0_136
| spl0_149
| ~ spl0_317 ),
inference(sat_conversion,[],[f16370]) ).
cnf(s1477,plain,
( spl0_105
| ~ spl0_108
| spl0_135
| spl0_149
| spl0_166 ),
inference(sat_conversion,[],[f16371]) ).
cnf(s1479,plain,
( ~ spl0_97
| spl0_135
| spl0_149
| spl0_160
| spl0_166 ),
inference(sat_conversion,[],[f16372]) ).
cnf(s1481,plain,
( ~ spl0_179
| spl0_197
| ~ spl0_315 ),
inference(sat_conversion,[],[f16375]) ).
cnf(s1483,plain,
( ~ spl0_11
| ~ spl0_160
| ~ spl0_369
| spl0_404 ),
inference(sat_conversion,[],[f16383]) ).
cnf(s1489,plain,
( spl0_135
| spl0_153
| spl0_154 ),
inference(sat_conversion,[],[f16396]) ).
cnf(s1490,plain,
( ~ spl0_4
| ~ spl0_179
| spl0_197
| ~ spl0_260 ),
inference(sat_conversion,[],[f16398]) ).
cnf(s1494,plain,
( ~ spl0_10
| spl0_31
| ~ spl0_75
| spl0_280 ),
inference(sat_conversion,[],[f16420]) ).
cnf(s1496,plain,
( ~ spl0_7
| ~ spl0_222 ),
inference(sat_conversion,[],[f16430]) ).
cnf(s1507,plain,
( ~ spl0_30
| ~ spl0_40
| spl0_101
| spl0_240 ),
inference(sat_conversion,[],[f16469]) ).
cnf(s1512,plain,
( ~ spl0_66
| spl0_135
| ~ spl0_362 ),
inference(sat_conversion,[],[f16511]) ).
cnf(s1519,plain,
( ~ spl0_236
| spl0_365 ),
inference(sat_conversion,[],[f16543]) ).
cnf(s1522,plain,
( ~ spl0_30
| ~ spl0_156 ),
inference(sat_conversion,[],[f16560]) ).
cnf(s1523,plain,
( spl0_135
| spl0_151
| spl0_152 ),
inference(sat_conversion,[],[f16561]) ).
cnf(s1556,plain,
( ~ spl0_151
| ~ spl0_224
| ~ spl0_238 ),
inference(sat_conversion,[],[f16841]) ).
cnf(s1566,plain,
( ~ spl0_9
| ~ spl0_48
| ~ spl0_305
| ~ spl0_330 ),
inference(sat_conversion,[],[f16913]) ).
cnf(s1574,plain,
( ~ spl0_156
| spl0_172
| ~ spl0_216
| ~ spl0_222 ),
inference(sat_conversion,[],[f17026]) ).
cnf(s1576,plain,
( ~ spl0_75
| ~ spl0_195
| ~ spl0_263 ),
inference(sat_conversion,[],[f17028]) ).
cnf(s1579,plain,
( ~ spl0_186
| ~ spl0_195
| ~ spl0_224
| ~ spl0_299 ),
inference(sat_conversion,[],[f17031]) ).
cnf(s1582,plain,
( ~ spl0_136
| ~ spl0_149
| ~ spl0_314 ),
inference(sat_conversion,[],[f17039]) ).
cnf(s1584,plain,
( spl0_31
| ~ spl0_136
| ~ spl0_149
| spl0_274 ),
inference(sat_conversion,[],[f17044]) ).
cnf(s1604,plain,
( spl0_49
| ~ spl0_187
| spl0_257
| spl0_261 ),
inference(sat_conversion,[],[f17188]) ).
cnf(s1611,plain,
( ~ spl0_57
| ~ spl0_187
| ~ spl0_195 ),
inference(sat_conversion,[],[f17269]) ).
cnf(s1613,plain,
( ~ spl0_40
| ~ spl0_195
| spl0_196
| spl0_197 ),
inference(sat_conversion,[],[f17272]) ).
cnf(s1617,plain,
( spl0_40
| ~ spl0_156
| ~ spl0_169
| spl0_172 ),
inference(sat_conversion,[],[f17283]) ).
cnf(s1621,plain,
( ~ spl0_1
| spl0_7
| spl0_40
| ~ spl0_42 ),
inference(sat_conversion,[],[f17295]) ).
cnf(s1628,plain,
( ~ spl0_1
| spl0_317 ),
inference(sat_conversion,[],[f17310]) ).
cnf(s1635,plain,
( ~ spl0_197
| spl0_317 ),
inference(sat_conversion,[],[f17354]) ).
cnf(s1640,plain,
( spl0_44
| spl0_149
| spl0_266 ),
inference(sat_conversion,[],[f17377]) ).
cnf(s1655,plain,
( ~ spl0_325
| ~ spl0_370
| ~ spl0_406 ),
inference(sat_conversion,[],[f17525]) ).
cnf(s1656,plain,
( spl0_404
| spl0_406 ),
inference(sat_conversion,[],[f17532]) ).
cnf(s1659,plain,
( ~ spl0_66
| ~ spl0_195
| ~ spl0_325 ),
inference(sat_conversion,[],[f17535]) ).
cnf(s1660,plain,
( spl0_35
| spl0_36
| ~ spl0_40 ),
inference(sat_conversion,[],[f17536]) ).
cnf(s1675,plain,
( ~ spl0_133
| ~ spl0_187
| ~ spl0_202 ),
inference(sat_conversion,[],[f17653]) ).
cnf(s1676,plain,
( ~ spl0_1
| spl0_7
| spl0_179
| ~ spl0_236 ),
inference(sat_conversion,[],[f17654]) ).
cnf(s1677,plain,
( spl0_30
| ~ spl0_31
| spl0_179
| ~ spl0_266 ),
inference(sat_conversion,[],[f17655]) ).
cnf(s1682,plain,
( spl0_30
| ~ spl0_31
| spl0_185
| ~ spl0_199 ),
inference(sat_conversion,[],[f17665]) ).
cnf(s1683,plain,
( spl0_31
| ~ spl0_185
| ~ spl0_187
| spl0_253 ),
inference(sat_conversion,[],[f17666]) ).
cnf(s1684,plain,
( ~ spl0_185
| ~ spl0_187
| ~ spl0_314 ),
inference(sat_conversion,[],[f17667]) ).
cnf(s1686,plain,
( spl0_1
| ~ spl0_40
| ~ spl0_66
| spl0_411 ),
inference(sat_conversion,[],[f17669]) ).
cnf(s1687,plain,
( spl0_30
| ~ spl0_31
| spl0_136
| ~ spl0_266 ),
inference(sat_conversion,[],[f17670]) ).
cnf(s1696,plain,
( ~ spl0_222
| spl0_365 ),
inference(sat_conversion,[],[f17726]) ).
cnf(s1718,plain,
( ~ spl0_30
| ~ spl0_192 ),
inference(sat_conversion,[],[f17999]) ).
cnf(s1721,plain,
( spl0_9
| ~ spl0_15
| spl0_136
| ~ spl0_365 ),
inference(sat_conversion,[],[f18002]) ).
cnf(s1725,plain,
( ~ spl0_105
| ~ spl0_155
| ~ spl0_179
| ~ spl0_299 ),
inference(sat_conversion,[],[f18008]) ).
cnf(s1729,plain,
( ~ spl0_8
| spl0_275 ),
inference(sat_conversion,[],[f18021]) ).
cnf(s1732,plain,
( ~ spl0_31
| spl0_317 ),
inference(sat_conversion,[],[f18036]) ).
cnf(s1741,plain,
( spl0_386
| spl0_401 ),
inference(sat_conversion,[],[f18074]) ).
cnf(s1749,plain,
( ~ spl0_193
| ~ spl0_261 ),
inference(sat_conversion,[],[f18101]) ).
cnf(s1783,plain,
( ~ spl0_4
| ~ spl0_106
| spl0_222 ),
inference(sat_conversion,[],[f18298]) ).
cnf(s1784,plain,
( ~ spl0_185
| spl0_240
| spl0_258
| spl0_261 ),
inference(sat_conversion,[],[f18301]) ).
cnf(s1786,plain,
( spl0_10
| spl0_193
| ~ spl0_197
| ~ spl0_211 ),
inference(sat_conversion,[],[f18304]) ).
cnf(s1796,plain,
( spl0_49
| ~ spl0_149
| ~ spl0_172
| spl0_243 ),
inference(sat_conversion,[],[f18372]) ).
cnf(s1828,plain,
( spl0_10
| spl0_30
| ~ spl0_31
| ~ spl0_35 ),
inference(sat_conversion,[],[f18627]) ).
cnf(s1833,plain,
( spl0_30
| ~ spl0_35
| spl0_149
| ~ spl0_365 ),
inference(sat_conversion,[],[f18632]) ).
cnf(s1834,plain,
( spl0_30
| ~ spl0_31
| spl0_187
| ~ spl0_197 ),
inference(sat_conversion,[],[f18633]) ).
cnf(s1836,plain,
( spl0_10
| ~ spl0_169
| spl0_172
| ~ spl0_222 ),
inference(sat_conversion,[],[f18636]) ).
cnf(s1847,plain,
( spl0_185
| ~ spl0_275 ),
inference(sat_conversion,[],[f18708]) ).
cnf(s1865,plain,
( spl0_166
| spl0_187
| spl0_199 ),
inference(sat_conversion,[],[f18829]) ).
cnf(s1871,plain,
( ~ spl0_151
| spl0_238
| spl0_260
| spl0_261 ),
inference(sat_conversion,[],[f18889]) ).
cnf(s1882,plain,
( ~ spl0_192
| spl0_193
| ~ spl0_371
| spl0_384 ),
inference(sat_conversion,[],[f18999]) ).
cnf(s1885,plain,
( spl0_169
| ~ spl0_367
| ~ spl0_385
| spl0_423 ),
inference(sat_conversion,[],[f19004]) ).
cnf(s1886,plain,
( ~ spl0_4
| spl0_31
| ~ spl0_133 ),
inference(sat_conversion,[],[f19005]) ).
cnf(s1903,plain,
( spl0_42
| ~ spl0_155
| spl0_238
| spl0_243 ),
inference(sat_conversion,[],[f19125]) ).
cnf(s1904,plain,
( ~ spl0_40
| ~ spl0_155
| spl0_168
| spl0_169 ),
inference(sat_conversion,[],[f19127]) ).
cnf(s1910,plain,
( spl0_42
| ~ spl0_195
| spl0_257
| spl0_263 ),
inference(sat_conversion,[],[f19174]) ).
cnf(s1911,plain,
( ~ spl0_9
| ~ spl0_40
| ~ spl0_195
| spl0_196 ),
inference(sat_conversion,[],[f19176]) ).
cnf(s1940,plain,
( ~ spl0_18
| ~ spl0_66
| spl0_136
| ~ spl0_155 ),
inference(sat_conversion,[],[f19502]) ).
cnf(s1947,plain,
( ~ spl0_156
| spl0_172
| ~ spl0_366
| spl0_384 ),
inference(sat_conversion,[],[f19529]) ).
cnf(s1948,plain,
( ~ spl0_152
| spl0_172
| ~ spl0_222
| ~ spl0_261 ),
inference(sat_conversion,[],[f19530]) ).
cnf(s1950,plain,
( spl0_9
| ~ spl0_15
| spl0_185
| ~ spl0_261 ),
inference(sat_conversion,[],[f19532]) ).
cnf(s1951,plain,
( ~ spl0_152
| ~ spl0_156
| spl0_172
| spl0_187 ),
inference(sat_conversion,[],[f19533]) ).
cnf(s1953,plain,
( ~ spl0_1
| spl0_7
| spl0_185
| ~ spl0_261 ),
inference(sat_conversion,[],[f19536]) ).
cnf(s1954,plain,
( spl0_30
| ~ spl0_35
| spl0_187
| ~ spl0_261 ),
inference(sat_conversion,[],[f19537]) ).
cnf(s1955,plain,
( spl0_7
| ~ spl0_42
| spl0_187
| ~ spl0_261 ),
inference(sat_conversion,[],[f19538]) ).
cnf(s1957,plain,
( ~ spl0_1
| spl0_7
| spl0_385
| ~ spl0_404 ),
inference(sat_conversion,[],[f19543]) ).
cnf(s1964,plain,
( ~ spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f19580]) ).
cnf(s1967,plain,
( spl0_28
| ~ spl0_31
| spl0_39 ),
inference(sat_conversion,[],[f19601]) ).
cnf(s1968,plain,
( spl0_28
| ~ spl0_31
| spl0_56 ),
inference(sat_conversion,[],[f19602]) ).
cnf(s1998,plain,
( spl0_48
| ~ spl0_192
| spl0_193
| ~ spl0_197 ),
inference(sat_conversion,[],[f19786]) ).
cnf(s1999,plain,
( ~ spl0_1
| spl0_7
| spl0_136
| ~ spl0_236 ),
inference(sat_conversion,[],[f19787]) ).
cnf(s2000,plain,
( ~ spl0_149
| spl0_222
| spl0_277 ),
inference(sat_conversion,[],[f19788]) ).
cnf(s2001,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f19789]) ).
cnf(s2006,plain,
( ~ spl0_136
| spl0_222
| spl0_223 ),
inference(sat_conversion,[],[f19828]) ).
cnf(s2008,plain,
( spl0_170
| ~ spl0_222
| spl0_262 ),
inference(sat_conversion,[],[f19848]) ).
cnf(s2012,plain,
( spl0_192
| spl0_194
| spl0_195 ),
inference(sat_conversion,[],[f19873]) ).
cnf(s2014,plain,
( spl0_42
| ~ spl0_195
| spl0_257
| spl0_263 ),
inference(sat_conversion,[],[f19887]) ).
cnf(s2028,plain,
( spl0_172
| ~ spl0_222
| ~ spl0_366
| ~ spl0_404 ),
inference(sat_conversion,[],[f20146]) ).
cnf(s2031,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_386
| spl0_404 ),
inference(sat_conversion,[],[f20151]) ).
cnf(s2041,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_66
| ~ spl0_411 ),
inference(sat_conversion,[],[f20247]) ).
cnf(s2044,plain,
( spl0_7
| ~ spl0_153
| ~ spl0_236
| ~ spl0_261 ),
inference(sat_conversion,[],[f20263]) ).
cnf(s2047,plain,
( spl0_193
| ~ spl0_211
| ~ spl0_371
| ~ spl0_404 ),
inference(sat_conversion,[],[f20267]) ).
cnf(s2048,plain,
( ~ spl0_187
| spl0_211
| spl0_219 ),
inference(sat_conversion,[],[f20268]) ).
cnf(s2052,plain,
( ~ spl0_11
| ~ spl0_66
| ~ spl0_195
| spl0_261 ),
inference(sat_conversion,[],[f20272]) ).
cnf(s2054,plain,
( ~ spl0_11
| spl0_42
| ~ spl0_187
| ~ spl0_202 ),
inference(sat_conversion,[],[f20274]) ).
cnf(s2055,plain,
( spl0_7
| ~ spl0_42
| ~ spl0_236
| ~ spl0_351 ),
inference(sat_conversion,[],[f20275]) ).
cnf(s2056,plain,
( ~ spl0_155
| ~ spl0_195
| ~ spl0_315 ),
inference(sat_conversion,[],[f20276]) ).
cnf(s2089,plain,
( ~ spl0_58
| ~ spl0_75
| spl0_186
| ~ spl0_224 ),
inference(sat_conversion,[],[f20628]) ).
cnf(s2098,plain,
( spl0_169
| ~ spl0_330
| ~ spl0_367
| ~ spl0_384 ),
inference(sat_conversion,[],[f20691]) ).
cnf(s2099,plain,
( ~ spl0_136
| ~ spl0_369
| spl0_401
| spl0_416 ),
inference(sat_conversion,[],[f20693]) ).
cnf(s2100,plain,
( ~ spl0_152
| ~ spl0_169
| spl0_172
| spl0_185 ),
inference(sat_conversion,[],[f20694]) ).
cnf(s2105,plain,
( spl0_9
| ~ spl0_150
| ~ spl0_152
| spl0_185 ),
inference(sat_conversion,[],[f20705]) ).
cnf(s2107,plain,
( ~ spl0_152
| ~ spl0_169
| spl0_172
| spl0_186 ),
inference(sat_conversion,[],[f20710]) ).
cnf(s2110,plain,
( ~ spl0_169
| spl0_170
| spl0_209 ),
inference(sat_conversion,[],[f20726]) ).
cnf(s2118,plain,
( spl0_28
| ~ spl0_35
| spl0_97 ),
inference(sat_conversion,[],[f20788]) ).
cnf(s2119,plain,
( spl0_28
| ~ spl0_35
| spl0_108 ),
inference(sat_conversion,[],[f20789]) ).
cnf(s2138,plain,
( ~ spl0_49
| ~ spl0_105
| ~ spl0_149 ),
inference(sat_conversion,[],[f20906]) ).
cnf(s2141,plain,
( ~ spl0_149
| ~ spl0_154
| spl0_197
| ~ spl0_330 ),
inference(sat_conversion,[],[f20930]) ).
cnf(s2148,plain,
( ~ spl0_152
| ~ spl0_169
| spl0_172
| ~ spl0_197 ),
inference(sat_conversion,[],[f21019]) ).
cnf(s2149,plain,
( spl0_197
| ~ spl0_370
| ~ spl0_385
| spl0_422 ),
inference(sat_conversion,[],[f21022]) ).
cnf(s2150,plain,
( spl0_197
| ~ spl0_330
| ~ spl0_370
| ~ spl0_384 ),
inference(sat_conversion,[],[f21023]) ).
cnf(s2151,plain,
( ~ spl0_4
| spl0_169
| ~ spl0_272 ),
inference(sat_conversion,[],[f21025]) ).
cnf(s2153,plain,
( ~ spl0_58
| ~ spl0_75
| ~ spl0_105
| spl0_179 ),
inference(sat_conversion,[],[f21027]) ).
cnf(s2154,plain,
( spl0_7
| ~ spl0_42
| spl0_384
| ~ spl0_404 ),
inference(sat_conversion,[],[f21028]) ).
cnf(s2155,plain,
( ~ spl0_1
| spl0_7
| spl0_386
| ~ spl0_404 ),
inference(sat_conversion,[],[f21030]) ).
cnf(s2158,plain,
( ~ spl0_4
| ~ spl0_11
| spl0_271 ),
inference(sat_conversion,[],[f21033]) ).
cnf(s2159,plain,
( ~ spl0_10
| ~ spl0_105
| spl0_169
| spl0_239 ),
inference(sat_conversion,[],[f21035]) ).
cnf(s2166,plain,
( ~ spl0_1
| spl0_14
| spl0_24 ),
inference(sat_conversion,[],[f21050]) ).
cnf(s2168,plain,
( spl0_35
| ~ spl0_66
| spl0_132 ),
inference(sat_conversion,[],[f21080]) ).
cnf(s2173,plain,
( spl0_211
| spl0_224
| spl0_225 ),
inference(sat_conversion,[],[f21128]) ).
cnf(s2196,plain,
( ~ spl0_136
| ~ spl0_179
| ~ spl0_289 ),
inference(sat_conversion,[],[f21346]) ).
cnf(s2198,plain,
( ~ spl0_160
| spl0_222
| ~ spl0_289 ),
inference(sat_conversion,[],[f21353]) ).
cnf(s2199,plain,
( ~ spl0_136
| spl0_169
| ~ spl0_289 ),
inference(sat_conversion,[],[f21355]) ).
cnf(s2202,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_401
| ~ spl0_404 ),
inference(sat_conversion,[],[f21449]) ).
cnf(s2203,plain,
( spl0_30
| ~ spl0_31
| spl0_384
| ~ spl0_401 ),
inference(sat_conversion,[],[f21450]) ).
cnf(s2205,plain,
( spl0_30
| ~ spl0_266
| ~ spl0_368
| spl0_384 ),
inference(sat_conversion,[],[f21517]) ).
cnf(s2206,plain,
( ~ spl0_281
| ~ spl0_369
| ~ spl0_386 ),
inference(sat_conversion,[],[f21539]) ).
cnf(s2214,plain,
( spl0_30
| ~ spl0_199
| ~ spl0_373
| spl0_384 ),
inference(sat_conversion,[],[f21614]) ).
cnf(s2232,plain,
( spl0_23
| ~ spl0_136
| ~ spl0_185
| ~ spl0_298 ),
inference(sat_conversion,[],[f21829]) ).
cnf(s2235,plain,
( spl0_281
| ~ spl0_385
| ~ spl0_416 ),
inference(sat_conversion,[],[f21863]) ).
cnf(s2239,plain,
( ~ spl0_179
| spl0_289
| ~ spl0_367
| ~ spl0_423 ),
inference(sat_conversion,[],[f21925]) ).
cnf(s2244,plain,
( spl0_60
| ~ spl0_136
| ~ spl0_185
| ~ spl0_359 ),
inference(sat_conversion,[],[f22019]) ).
cnf(s2249,plain,
( ~ spl0_185
| ~ spl0_186
| ~ spl0_370
| ~ spl0_422 ),
inference(sat_conversion,[],[f22078]) ).
cnf(s2254,plain,
( ~ spl0_153
| spl0_193
| ~ spl0_368
| ~ spl0_371 ),
inference(sat_conversion,[],[f22104]) ).
cnf(s2255,plain,
( ~ spl0_154
| ~ spl0_186
| ~ spl0_281 ),
inference(sat_conversion,[],[f22137]) ).
cnf(s2256,plain,
( spl0_193
| ~ spl0_197
| ~ spl0_371
| spl0_385 ),
inference(sat_conversion,[],[f22139]) ).
cnf(s2257,plain,
( spl0_9
| ~ spl0_34
| spl0_136
| ~ spl0_351 ),
inference(sat_conversion,[],[f22140]) ).
cnf(s2258,plain,
( ~ spl0_10
| spl0_197
| ~ spl0_224
| spl0_234 ),
inference(sat_conversion,[],[f22141]) ).
cnf(s2259,plain,
( ~ spl0_11
| spl0_42
| ~ spl0_384
| ~ spl0_406 ),
inference(sat_conversion,[],[f22142]) ).
cnf(s2260,plain,
( ~ spl0_11
| ~ spl0_202
| ~ spl0_372
| spl0_404 ),
inference(sat_conversion,[],[f22143]) ).
cnf(s2271,plain,
( spl0_14
| ~ spl0_42
| spl0_96 ),
inference(sat_conversion,[],[f22193]) ).
cnf(s2272,plain,
( spl0_14
| ~ spl0_42
| spl0_97 ),
inference(sat_conversion,[],[f22194]) ).
cnf(s2279,plain,
( spl0_14
| spl0_229
| ~ spl0_236 ),
inference(sat_conversion,[],[f22241]) ).
cnf(s2298,plain,
( ~ spl0_40
| spl0_44
| ~ spl0_187
| ~ spl0_288 ),
inference(sat_conversion,[],[f22463]) ).
cnf(s2301,plain,
( ~ spl0_153
| ~ spl0_192
| spl0_193
| ~ spl0_351 ),
inference(sat_conversion,[],[f22470]) ).
cnf(s2302,plain,
( spl0_149
| ~ spl0_153
| ~ spl0_192
| spl0_193 ),
inference(sat_conversion,[],[f22471]) ).
cnf(s2305,plain,
( spl0_136
| ~ spl0_153
| spl0_193
| ~ spl0_197 ),
inference(sat_conversion,[],[f22477]) ).
cnf(s2324,plain,
( ~ spl0_70
| ~ spl0_155
| spl0_165 ),
inference(rat,[],[s315,s539]) ).
cnf(s2333,plain,
( ~ spl0_28
| spl0_66 ),
inference(rat,[],[s79,s91]) ).
cnf(s2342,plain,
( ~ spl0_28
| spl0_3
| spl0_1 ),
inference(rat,[],[s2041,s1686,s2333,s194,s3]) ).
cnf(s2344,plain,
( spl0_35
| ~ spl0_48
| ~ spl0_40
| ~ spl0_4 ),
inference(rat,[],[s827,s510,s618,s1660]) ).
cnf(s2345,plain,
( spl0_105
| ~ spl0_108
| ~ spl0_314
| ~ spl0_15
| spl0_9 ),
inference(rat,[],[s1582,s1721,s1477,s1341,s295,s539]) ).
cnf(s2347,plain,
( spl0_187
| spl0_236
| spl0_172
| ~ spl0_97
| ~ spl0_42
| spl0_7
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s2107,s1523,s1090,s1330,s1955,s1244,s456,s1096,s295,s358,s735]) ).
cnf(s2348,plain,
( spl0_136
| ~ spl0_97
| ~ spl0_42
| ~ spl0_314
| ~ spl0_15
| spl0_9
| spl0_7
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s1489,s1322,s1081,s1950,s1684,s2347,s1342,s1519,s1721,s309,s675,s295,s539]) ).
cnf(s2349,plain,
( ~ spl0_40
| spl0_23
| spl0_10
| spl0_9
| spl0_7
| ~ spl0_5
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s1382,s2279,s1582,s578,s2348,s2272,s418,s1167,s695,s9,s295]) ).
cnf(s2350,plain,
( ~ spl0_187
| ~ spl0_314
| ~ spl0_133
| ~ spl0_15
| spl0_9 ),
inference(rat,[],[s606,s1950,s1675,s1684]) ).
cnf(s2352,plain,
( ~ spl0_261
| ~ spl0_236
| ~ spl0_136
| spl0_23
| ~ spl0_15
| spl0_9
| spl0_7 ),
inference(rat,[],[s992,s1523,s2232,s599,s1950,s295]) ).
cnf(s2353,plain,
( spl0_261
| ~ spl0_86
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s1247,s1090,s606,s358]) ).
cnf(s2354,plain,
( ~ spl0_136
| ~ spl0_261
| spl0_23
| ~ spl0_15
| spl0_9
| spl0_7
| ~ spl0_5 ),
inference(rat,[],[s2352,s578]) ).
cnf(s2355,plain,
( spl0_23
| spl0_10
| spl0_9
| spl0_7
| spl0_28
| ~ spl0_5
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s451,s1519,s1473,s1721,s2354,s2353,s179,s1732,s1968,s51,s830,s411,s499,s674,s2349,s695,s91]) ).
cnf(s2356,plain,
( ~ spl0_40
| ~ spl0_136
| ~ spl0_23
| spl0_10
| spl0_7
| spl0_28
| ~ spl0_5 ),
inference(rat,[],[s2153,s59,s560,s27,s404,s1967,s1349,s51,s2055,s85,s418,s43,s615,s1836,s456,s849,s765,s578,s295,s539]) ).
cnf(s2357,plain,
( ~ spl0_136
| spl0_10
| spl0_9
| spl0_7
| spl0_28
| ~ spl0_5
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s27,s59,s51,s2153,s242,s830,s503,s499,s674,s2356,s615,s1836,s456,s765,s849,s578,s43,s695,s2355,s91,s539]) ).
cnf(s2358,plain,
( spl0_48
| spl0_179
| ~ spl0_105
| spl0_172
| spl0_10
| spl0_28 ),
inference(rat,[],[s2153,s59,s560,s330,s1350,s27,s1967,s1968,s314,s51,s43,s456,s295]) ).
cnf(s2359,plain,
( spl0_10
| spl0_9
| spl0_7
| spl0_28
| ~ spl0_5
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s674,s499,s85,s830,s2358,s1096,s1341,s1519,s1721,s675,s2357,s2355,s695,s539]) ).
cnf(s2360,plain,
( ~ spl0_40
| spl0_160
| ~ spl0_136
| spl0_23
| spl0_7
| ~ spl0_5 ),
inference(rat,[],[s412,s1582,s418,s1167]) ).
cnf(s2361,plain,
( ~ spl0_48
| ~ spl0_155
| ~ spl0_149
| ~ spl0_136 ),
inference(rat,[],[s922,s495]) ).
cnf(s2362,plain,
( spl0_384
| ~ spl0_31
| ~ spl0_42
| spl0_7
| spl0_30
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s1741,s2031,s2203,s2154]) ).
cnf(s2363,plain,
( spl0_404
| spl0_193
| ~ spl0_197
| ~ spl0_325
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s1348,s1459,s1655,s2031,s1656,s295]) ).
cnf(s2364,plain,
( spl0_261
| ~ spl0_384
| ~ spl0_58
| ~ spl0_39
| ~ spl0_330
| ~ spl0_155
| ~ spl0_149
| spl0_172
| ~ spl0_10
| ~ spl0_5
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1725,s1170,s615,s2028,s2363,s1343,s2098,s2148,s1523,s545,s1086,s1489,s1221,s363,s730,s616,s1248,s607,s1090,s606,s6,s539,s295,s358]) ).
cnf(s2365,plain,
( ~ spl0_42
| ~ spl0_136
| ~ spl0_10
| spl0_7
| spl0_28
| ~ spl0_5
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1523,s1086,s599,s1955,s2364,s2362,s59,s27,s1967,s51,s2361,s1269,s305,s1349,s412,s2055,s1210,s2158,s6,s43,s750,s18,s848,s765,s578,s295]) ).
cnf(s2366,plain,
( ~ spl0_185
| ~ spl0_151
| ~ spl0_136
| spl0_23 ),
inference(rat,[],[s992,s2232]) ).
cnf(s2369,plain,
( ~ spl0_367
| spl0_169
| ~ spl0_179
| ~ spl0_315
| spl0_289
| spl0_193 ),
inference(rat,[],[s1348,s2256,s1442,s1885,s2239,s1481,s295]) ).
cnf(s2370,plain,
( spl0_222
| ~ spl0_179
| ~ spl0_136
| ~ spl0_4 ),
inference(rat,[],[s785,s1052,s615,s2006,s539]) ).
cnf(s2371,plain,
( ~ spl0_136
| ~ spl0_10
| spl0_7
| spl0_28
| ~ spl0_5
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1656,s2259,s2028,s1947,s1343,s2369,s1617,s1350,s2056,s2370,s644,s59,s369,s1471,s1221,s2366,s1174,s1217,s1523,s1489,s599,s2044,s1749,s2353,s179,s27,s1732,s1967,s1968,s51,s830,s2365,s2360,s765,s750,s578,s6,s43,s18,s848,s539,s295,s358]) ).
cnf(s2372,plain,
( spl0_261
| spl0_351
| spl0_136
| ~ spl0_10
| spl0_9
| spl0_30
| ~ spl0_5
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1292,s1275,s923,s495,s1167,s51,s1471,s1834,s2056,s1086,s1174,s1316,s1523,s1489,s1635,s2105,s1081,s616,s1248,s607,s1090,s606,s6,s18,s848,s309,s305,s1218,s789,s1379,s1349,s539,s735,s358,s295]) ).
cnf(s2373,plain,
( ~ spl0_42
| ~ spl0_236
| spl0_136
| ~ spl0_10
| spl0_9
| spl0_7
| spl0_30
| ~ spl0_5
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1523,s1086,s599,s1955,s2372,s789,s1349,s1379,s2055,s295]) ).
cnf(s2374,plain,
( spl0_211
| ~ spl0_185
| spl0_197
| ~ spl0_186
| ~ spl0_10 ),
inference(rat,[],[s896,s2258,s655,s2173,s735]) ).
cnf(s2375,plain,
( spl0_404
| spl0_42
| spl0_30
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s2203,s1741,s2259,s2031,s1656,s51,s830]) ).
cnf(s2376,plain,
( ~ spl0_236
| spl0_9
| spl0_7
| spl0_28
| ~ spl0_5
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1442,s1348,s1343,s2047,s2028,s2375,s2374,s615,s2153,s1481,s618,s1265,s1834,s1954,s1086,s1174,s730,s1523,s1489,s1218,s599,s2044,s1749,s59,s1476,s321,s2372,s1349,s27,s1732,s1967,s2257,s30,s51,s325,s830,s418,s2373,s43,s675,s2371,s2359,s6,s295,s539,s91]) ).
cnf(s2377,plain,
( spl0_261
| ~ spl0_160
| ~ spl0_150
| spl0_9
| ~ spl0_5
| ~ spl0_11 ),
inference(rat,[],[s1489,s1081,s1322,s607,s295]) ).
cnf(s2378,plain,
( ~ spl0_31
| ~ spl0_187
| spl0_193
| ~ spl0_42
| ~ spl0_169
| ~ spl0_160
| spl0_172
| ~ spl0_10
| spl0_7
| spl0_30
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s1483,s1344,s2047,s2254,s1348,s1489,s2374,s2150,s2141,s2100,s2107,s2148,s1269,s1523,s305,s1086,s1350,s927,s312,s2362,s1210,s2158,s539,s295]) ).
cnf(s2379,plain,
( ~ spl0_330
| ~ spl0_315
| ~ spl0_48
| spl0_193
| ~ spl0_169
| spl0_172 ),
inference(rat,[],[s1442,s1343,s1348,s1395,s1447,s539,s295]) ).
cnf(s2380,plain,
( spl0_185
| ~ spl0_48
| ~ spl0_187
| spl0_193
| ~ spl0_323
| ~ spl0_169
| ~ spl0_150
| spl0_172
| spl0_9 ),
inference(rat,[],[s1471,s342,s1611,s1269,s2379,s1174,s1217,s1523,s1489,s2105,s1081,s1197,s539,s295]) ).
cnf(s2381,plain,
( spl0_9
| spl0_7
| spl0_28
| ~ spl0_5
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s305,s1476,s1473,s1167,s602,s1684,s1683,s2380,s51,s2378,s1955,s1749,s2377,s1210,s475,s1512,s1334,s2110,s1197,s456,s1096,s879,s2376,s309,s675,s1194,s2371,s18,s848,s2359,s2158,s6,s43,s91,s295]) ).
cnf(s2382,plain,
( spl0_7
| spl0_28
| ~ spl0_5
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s305,s789,s1349,s1379,s1269,s2055,s1210,s1096,s830,s1566,s456,s51,s1040,s1047,s1124,s2381,s2158,s6,s295]) ).
cnf(s2383,plain,
( ~ spl0_136
| spl0_23
| ~ spl0_14
| ~ spl0_10 ),
inference(rat,[],[s972,s975,s539]) ).
cnf(s2384,plain,
( spl0_185
| spl0_9
| ~ spl0_150
| spl0_315 ),
inference(rat,[],[s1174,s1217,s1523,s1489,s2105,s1081,s295]) ).
cnf(s2385,plain,
( ~ spl0_58
| ~ spl0_31
| ~ spl0_185
| spl0_136
| ~ spl0_105
| spl0_23
| ~ spl0_75
| spl0_211
| ~ spl0_10
| spl0_30 ),
inference(rat,[],[s1167,s1684,s1473,s1834,s1725,s2374,s1170,s2089,s2153,s2173,s1732,s789,s1687,s91,s735]) ).
cnf(s2386,plain,
( ~ spl0_31
| ~ spl0_152
| ~ spl0_185
| spl0_136
| ~ spl0_105
| spl0_23
| ~ spl0_75
| spl0_211
| ~ spl0_10
| spl0_28 ),
inference(rat,[],[s1684,s1167,s1951,s1473,s1350,s321,s59,s2385,s27,s1732,s1967,s43,s675,s91,s295]) ).
cnf(s2387,plain,
( ~ spl0_185
| ~ spl0_7
| spl0_28
| ~ spl0_4 ),
inference(rat,[],[s908,s1454,s1474,s1635,s325,s2258,s67,s896,s510,s827,s51,s1886,s2386,s1523,s978,s1783,s2173,s443,s980,s615,s1496,s190,s137,s309,s2383,s848,s141,s1964,s91,s295,s539,s735]) ).
cnf(s2388,plain,
( ~ spl0_187
| ~ spl0_239
| ~ spl0_179
| ~ spl0_280
| ~ spl0_48
| ~ spl0_186
| spl0_193
| ~ spl0_105
| ~ spl0_75
| spl0_211
| ~ spl0_4 ),
inference(rat,[],[s2301,s1349,s1489,s1340,s1725,s783,s1008,s1057,s816,s2048,s295,s539]) ).
cnf(s2389,plain,
( ~ spl0_155
| spl0_187
| ~ spl0_179
| ~ spl0_280
| spl0_133
| ~ spl0_186
| spl0_193
| ~ spl0_109
| ~ spl0_224
| ~ spl0_105
| spl0_30 ),
inference(rat,[],[s1008,s2012,s1111,s2302,s1523,s1489,s603,s1083,s1640,s891,s908,s358,s295,s91]) ).
cnf(s2390,plain,
( spl0_3
| spl0_1 ),
inference(rat,[],[s1340,s2301,s1008,s1489,s1111,s967,s1523,s1951,s1349,s1350,s2389,s2388,s2159,s456,s2151,s1494,s51,s1886,s1047,s1099,s1124,s2384,s363,s2387,s309,s675,s2383,s1339,s190,s2173,s615,s848,s137,s141,s443,s1496,s1964,s2382,s43,s2342,s2001,s3,s1,s539,s295,s735]) ).
cnf(s2392,plain,
( ~ spl0_155
| ~ spl0_169
| spl0_186
| ~ spl0_197
| ~ spl0_187
| ~ spl0_75
| ~ spl0_31
| spl0_30
| spl0_10 ),
inference(rat,[],[s1786,s2173,s359,s2089,s1523,s59,s1086,s404,s27,s927,s735,s295]) ).
cnf(s2393,plain,
( ~ spl0_187
| spl0_240
| ~ spl0_40
| ~ spl0_42
| ~ spl0_75
| ~ spl0_56
| ~ spl0_31
| ~ spl0_8
| spl0_30
| spl0_10 ),
inference(rat,[],[s1370,s370,s1784,s59,s670,s730,s1489,s650,s879,s312,s1121,s1350,s2392,s927,s456,s849,s847,s736,s1167,s1684,s1964,s591,s1847,s1729,s27,s2271,s9,s358,s295]) ).
cnf(s2394,plain,
( ~ spl0_31
| spl0_9
| spl0_28
| spl0_1 ),
inference(rat,[],[s1640,s603,s1582,s1523,s1167,s2366,s736,s1834,s2393,s488,s674,s475,s411,s491,s560,s1967,s1968,s695,s43,s591,s1847,s1729,s5,s700,s2390,s3,s91,s295]) ).
cnf(s2395,plain,
( ~ spl0_57
| ~ spl0_48
| spl0_9
| ~ spl0_15 ),
inference(rat,[],[s242,s503,s499,s674,s342,s91]) ).
cnf(s2396,plain,
( ~ spl0_187
| spl0_57
| spl0_31
| ~ spl0_185 ),
inference(rat,[],[s602,s1683,s51]) ).
cnf(s2397,plain,
( ~ spl0_149
| spl0_57
| spl0_31
| ~ spl0_136 ),
inference(rat,[],[s1584,s761,s51]) ).
cnf(s2398,plain,
( spl0_216
| ~ spl0_3 ),
inference(rat,[],[s490,s411,s503,s91]) ).
cnf(s2399,plain,
( spl0_9
| spl0_28
| spl0_1 ),
inference(rat,[],[s489,s1479,s2345,s2397,s2118,s2119,s1167,s342,s85,s2344,s51,s591,s674,s2394,s5,s695,s700,s3,s2398,s2390,s295,s539]) ).
cnf(s2400,plain,
( spl0_172
| ~ spl0_152
| ~ spl0_222
| ~ spl0_3 ),
inference(rat,[],[s740,s606,s2173,s1948,s596,s735]) ).
cnf(s2401,plain,
( ~ spl0_187
| ~ spl0_57
| ~ spl0_49
| spl0_193
| ~ spl0_216 ),
inference(rat,[],[s1386,s1340,s2173,s1611,s555,s539,s735]) ).
cnf(s2402,plain,
( spl0_211
| spl0_187
| ~ spl0_274
| ~ spl0_154
| ~ spl0_186
| spl0_1 ),
inference(rat,[],[s2272,s1244,s475,s740,s776,s2173,s9,s700,s2390,s3,s358,s735,s91]) ).
cnf(s2403,plain,
( ~ spl0_136
| spl0_28
| spl0_1 ),
inference(rat,[],[s1576,s618,s2012,s605,s1386,s2402,s2401,s742,s2397,s1584,s1489,s1796,s569,s650,s765,s2400,s359,s1523,s1174,s2370,s2199,s1,s2398,s2390,s43,s1099,s1038,s3,s51,s1124,s1481,s456,s1047,s1112,s2399,s358,s295]) ).
cnf(s2404,plain,
( ~ spl0_152
| ~ spl0_149
| ~ spl0_187
| spl0_28
| spl0_1 ),
inference(rat,[],[s599,s1604,s1357,s2138,s489,s615,s2400,s1964,s700,s2390,s835,s1112,s51,s1124,s2399,s3,s675,s2403,s539]) ).
cnf(s2405,plain,
( ~ spl0_149
| ~ spl0_187
| spl0_28
| spl0_1 ),
inference(rat,[],[s2044,s1604,s1357,s2138,s2198,s615,s1489,s1574,s1217,s1350,s1174,s1086,s1523,s2404,s1964,s700,s2398,s2390,s835,s51,s1124,s3,s1481,s456,s1047,s1112,s2399,s675,s2403,s539,s295]) ).
cnf(s2406,plain,
( ~ spl0_105
| spl0_149
| spl0_28
| spl0_1 ),
inference(rat,[],[s2168,s475,s792,s513,s412,s1357,s785,s489,s1964,s700,s2390,s3,s43,s1124,s456,s1047,s2399,s91,s539]) ).
cnf(s2407,plain,
( spl0_211
| ~ spl0_195
| ~ spl0_187
| ~ spl0_186
| ~ spl0_4 ),
inference(rat,[],[s1057,s1579,s2048,s2173,s735]) ).
cnf(s2408,plain,
( ~ spl0_187
| spl0_28
| spl0_1 ),
inference(rat,[],[s1075,s557,s2407,s1370,s1489,s2271,s1217,s1871,s475,s1174,s558,s490,s1523,s1350,s618,s2400,s1574,s1833,s615,s1341,s2406,s2405,s9,s700,s2398,s2390,s43,s1099,s1481,s1490,s456,s1047,s3,s1112,s2399,s675,s2403,s358,s295,s91,s539]) ).
cnf(s2409,plain,
( ~ spl0_152
| ~ spl0_149
| spl0_28
| spl0_1 ),
inference(rat,[],[s1725,s1162,s1350,s2000,s615,s1951,s2400,s3,s2390,s456,s1047,s2399,s675,s2403,s2408,s295,s539]) ).
cnf(s2410,plain,
( ~ spl0_149
| spl0_28
| spl0_1 ),
inference(rat,[],[s2173,s1117,s1579,s1357,s1162,s2012,s2198,s2000,s2301,s1574,s1489,s1349,s1350,s1217,s1218,s1174,s1523,s2409,s3,s2398,s2390,s1099,s1481,s456,s1047,s1112,s2399,s675,s2403,s362,s2408,s735,s539,s358,s295]) ).
cnf(s2411,plain,
( spl0_28
| spl0_1 ),
inference(rat,[],[s1955,s1871,s475,s558,s490,s1350,s618,s1574,s1833,s1523,s615,s1341,s603,s2406,s1640,s2410,s2408,s675,s2403,s1490,s456,s1047,s1112,s2399,s43,s1964,s700,s3,s2398,s2390,s91,s295,s539]) ).
cnf(s2412,plain,
( ~ spl0_8
| ~ spl0_152
| ~ spl0_149
| spl0_1 ),
inference(rat,[],[s656,s879,s1507,s765,s1828,s2107,s671,s51,s456,s1786,s85,s849,s847,s736,s1167,s1582,s1847,s591,s1729,s700,s3,s194,s618,s490,s2333,s2411,s2390,s359]) ).
cnf(s2413,plain,
( ~ spl0_152
| ~ spl0_149
| ~ spl0_187
| spl0_1 ),
inference(rat,[],[s599,s1604,s1357,s2138,s489,s615,s2400,s675,s2397,s342,s835,s51,s1112,s1124,s5,s2412,s1964,s700,s2390,s3,s194,s2411,s539]) ).
cnf(s2414,plain,
( ~ spl0_149
| ~ spl0_187
| spl0_1 ),
inference(rat,[],[s1489,s2044,s1172,s1604,s1357,s1168,s2138,s489,s615,s2151,s835,s2008,s1197,s1635,s1194,s1275,s2397,s1167,s342,s85,s51,s1828,s1363,s1522,s1350,s1086,s1523,s2413,s1964,s700,s3,s194,s618,s490,s2333,s2411,s2390,s1381,s295,s539,s91]) ).
cnf(s2415,plain,
( ~ spl0_152
| ~ spl0_187
| spl0_1 ),
inference(rat,[],[s822,s547,s1613,s616,s1786,s2173,s2012,s740,s1718,s606,s792,s599,s1357,s489,s615,s2400,s359,s1964,s700,s3,s194,s618,s490,s2333,s2411,s2390,s569,s2414,s735,s358,s539]) ).
cnf(s2416,plain,
( ~ spl0_222
| ~ spl0_187
| spl0_1 ),
inference(rat,[],[s1721,s1911,s395,s822,s2012,s1904,s400,s1718,s1350,s456,s1833,s1574,s1836,s1696,s695,s700,s3,s2398,s194,s618,s490,s2333,s2411,s2390,s569,s2414,s358,s295]) ).
cnf(s2417,plain,
( ~ spl0_187
| spl0_1 ),
inference(rat,[],[s1099,s2407,s5,s1117,s1729,s1489,s363,s1847,s1217,s643,s1174,s316,s2056,s1350,s2012,s1522,s1718,s792,s1357,s489,s1783,s615,s2416,s1523,s2415,s2414,s700,s3,s194,s618,s490,s2333,s2411,s2390,s295,s358,s539]) ).
cnf(s2418,plain,
( ~ spl0_152
| ~ spl0_149
| spl0_1 ),
inference(rat,[],[s400,s1094,s1350,s1951,s675,s2397,s342,s456,s51,s1047,s1124,s5,s2412,s700,s2390,s3,s194,s2411,s2417,s295]) ).
cnf(s2419,plain,
( ~ spl0_8
| ~ spl0_151
| spl0_1 ),
inference(rat,[],[s2056,s1350,s1174,s1522,s1217,s1828,s1489,s2012,s51,s545,s1998,s85,s849,s736,s2366,s1847,s591,s1729,s700,s3,s194,s618,s490,s2333,s2411,s2390,s362,s2417,s295,s358]) ).
cnf(s2420,plain,
( spl0_30
| spl0_1 ),
inference(rat,[],[s740,s2173,s606,s605,s1954,s618,s490,s2333,s2411,s2390,s2417,s735]) ).
cnf(s2421,plain,
( ~ spl0_149
| spl0_1 ),
inference(rat,[],[s1174,s1523,s1218,s2418,s2056,s1350,s1522,s2012,s1718,s2420,s295,s358]) ).
cnf(s2422,plain,
( ~ spl0_152
| spl0_1 ),
inference(rat,[],[s1124,s5,s51,s1729,s835,s1847,s1910,s819,s588,s547,s1489,s1613,s616,s1117,s1786,s2173,s740,s606,s599,s1357,s489,s615,s2400,s1964,s700,s2390,s3,s194,s2411,s362,s2417,s64,s2012,s1718,s2420,s569,s2421,s295,s735,s539,s358]) ).
cnf(s2423,plain,
spl0_1,
inference(rat,[],[s879,s2198,s1117,s1075,s2173,s1556,s684,s456,s1489,s1047,s1217,s5,s1174,s2419,s1523,s2422,s2056,s1350,s2012,s64,s1522,s1718,s2420,s362,s2417,s194,s2411,s700,s2390,s1,s3,s735,s295,s358]) ).
cnf(s2424,plain,
spl0_317,
inference(rat,[],[s1628,s2423]) ).
cnf(s2425,plain,
~ spl0_9,
inference(rat,[],[s33,s2423]) ).
cnf(s2430,plain,
( ~ spl0_28
| ~ spl0_22 ),
inference(rat,[],[s441,s2333,s194]) ).
cnf(s2431,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_152
| spl0_3 ),
inference(rat,[],[s309,s2383,s2105,s141,s2387,s2382,s2430,s22,s18,s848,s2425]) ).
cnf(s2432,plain,
( spl0_42
| spl0_7
| ~ spl0_155
| ~ spl0_187
| ~ spl0_152
| ~ spl0_11 ),
inference(rat,[],[s599,s606,s451,s2054,s475,s91]) ).
cnf(s2433,plain,
( spl0_7
| ~ spl0_155
| ~ spl0_187
| ~ spl0_149
| ~ spl0_152
| ~ spl0_11 ),
inference(rat,[],[s1275,s1167,s2361,s85,s1621,s56,s2432,s1381,s305,s2424,s2423,s295]) ).
cnf(s2434,plain,
( ~ spl0_136
| ~ spl0_105
| ~ spl0_75
| ~ spl0_14
| spl0_57
| spl0_30
| ~ spl0_10
| ~ spl0_149 ),
inference(rat,[],[s59,s2153,s27,s849,s2397,s2383]) ).
cnf(s2435,plain,
( ~ spl0_155
| spl0_28
| ~ spl0_10
| ~ spl0_187
| ~ spl0_149
| ~ spl0_152
| ~ spl0_11 ),
inference(rat,[],[s2089,s847,s59,s2386,s27,s2396,s2384,s309,s2434,s1339,s2173,s615,s137,s141,s443,s1496,s2433,s305,s43,s2425,s735,s539]) ).
cnf(s2436,plain,
( spl0_42
| spl0_7
| ~ spl0_187
| ~ spl0_149
| ~ spl0_152
| spl0_3 ),
inference(rat,[],[s1357,s599,s302,s606,s229,s2054,s475,s6,s539,s91]) ).
cnf(s2437,plain,
( spl0_7
| ~ spl0_187
| ~ spl0_149
| ~ spl0_152
| spl0_3 ),
inference(rat,[],[s1275,s2397,s1167,s342,s85,s501,s1621,s56,s2436,s1381,s2424,s2423,s295]) ).
cnf(s2438,plain,
( ~ spl0_136
| ~ spl0_351
| spl0_30
| ~ spl0_10
| ~ spl0_7
| ~ spl0_187
| ~ spl0_149
| ~ spl0_152 ),
inference(rat,[],[s1128,s869,s1014,s879,s519,s1489,s765,s1998,s2301,s2107,s616,s1340,s456,s813,s1611,s849,s1123,s2434,s2383,s973,s359,s615,s1496,s2173,s443,s190,s141,s137,s735,s2423,s539,s295]) ).
cnf(s2439,plain,
( ~ spl0_31
| ~ spl0_185
| ~ spl0_40
| spl0_30
| spl0_4
| ~ spl0_10
| ~ spl0_224
| ~ spl0_75
| ~ spl0_187
| spl0_193 ),
inference(rat,[],[s1611,s59,s2012,s2089,s1998,s847,s736,s85,s1167,s1466,s27,s185,s358]) ).
cnf(s2440,plain,
( spl0_28
| spl0_4
| ~ spl0_10
| ~ spl0_7
| ~ spl0_187
| ~ spl0_149
| ~ spl0_152
| ~ spl0_11 ),
inference(rat,[],[s1167,s1684,s31,s2439,s2384,s1473,s2257,s309,s2438,s1349,s2435,s43,s359,s137,s2173,s1339,s615,s1496,s443,s2425,s91,s2424,s295,s539,s735]) ).
cnf(s2441,plain,
( ~ spl0_136
| spl0_172
| ~ spl0_23
| ~ spl0_10
| ~ spl0_7
| ~ spl0_187
| ~ spl0_149
| ~ spl0_152 ),
inference(rat,[],[s2107,s813,s456,s1123,s849,s973,s137]) ).
cnf(s2442,plain,
( ~ spl0_10
| ~ spl0_187
| ~ spl0_149
| ~ spl0_152
| spl0_3 ),
inference(rat,[],[s1169,s400,s1350,s456,s1522,s2148,s2439,s736,s2384,s309,s2441,s765,s51,s1357,s85,s302,s18,s229,s2430,s2333,s194,s2440,s2431,s6,s359,s137,s2173,s1339,s615,s1496,s443,s2437,s295,s2425,s539,s735]) ).
cnf(s2443,plain,
( ~ spl0_187
| ~ spl0_149
| spl0_3
| ~ spl0_152 ),
inference(rat,[],[s1964,s2442,s2437]) ).
cnf(s2444,plain,
( ~ spl0_155
| ~ spl0_136
| ~ spl0_10
| spl0_7
| spl0_187
| ~ spl0_149
| ~ spl0_152
| ~ spl0_11 ),
inference(rat,[],[s607,s22,s741,s18,s1169,s849,s400,s1676,s599,s451,s475,s56,s2361,s539,s2423,s91]) ).
cnf(s2445,plain,
( ~ spl0_172
| spl0_7
| spl0_187
| ~ spl0_149
| spl0_3 ),
inference(rat,[],[s475,s1955,s229,s1322,s302,s1489,s879,s650,s765,s6,s91,s295]) ).
cnf(s2446,plain,
( ~ spl0_155
| ~ spl0_10
| ~ spl0_11
| spl0_7
| spl0_187
| ~ spl0_149
| ~ spl0_152 ),
inference(rat,[],[s22,s18,s2377,s85,s1955,s1621,s56,s475,s451,s879,s1999,s309,s2444,s91,s2423,s2425]) ).
cnf(s2447,plain,
( spl0_404
| spl0_30
| ~ spl0_202
| spl0_42
| ~ spl0_199
| ~ spl0_11 ),
inference(rat,[],[s2214,s1351,s2259,s2260,s1656,s295]) ).
cnf(s2448,plain,
( spl0_105
| ~ spl0_385
| ~ spl0_404
| ~ spl0_179
| spl0_289
| spl0_172 ),
inference(rat,[],[s1885,s2239,s1343,s2028,s615,s842,s539,s2423]) ).
cnf(s2449,plain,
( ~ spl0_136
| spl0_10
| ~ spl0_155
| spl0_172
| spl0_7
| ~ spl0_199
| ~ spl0_149
| ~ spl0_152
| ~ spl0_11 ),
inference(rat,[],[s1885,s2239,s1343,s2028,s1836,s2006,s1015,s1725,s2448,s1957,s2447,s1718,s1340,s2052,s606,s1676,s599,s451,s475,s56,s2361,s1218,s539,s2423,s91]) ).
cnf(s2450,plain,
( ~ spl0_179
| ~ spl0_40
| ~ spl0_155
| ~ spl0_149 ),
inference(rat,[],[s1169,s400]) ).
cnf(s2451,plain,
( ~ spl0_195
| spl0_197
| ~ spl0_40
| ~ spl0_185 ),
inference(rat,[],[s819,s1613,s547,s616]) ).
cnf(s2452,plain,
( spl0_404
| ~ spl0_153
| ~ spl0_325
| ~ spl0_160
| spl0_193
| ~ spl0_11 ),
inference(rat,[],[s2254,s1348,s1344,s1655,s1483,s1656,s295,s539]) ).
cnf(s2453,plain,
( spl0_7
| ~ spl0_149
| ~ spl0_152
| spl0_3 ),
inference(rat,[],[s1432,s1957,s2154,s2452,s1489,s1248,s1167,s1322,s606,s85,s1955,s56,s674,s475,s411,s1940,s1212,s2449,s14,s11,s448,s695,s2446,s1350,s1951,s2445,s6,s359,s1865,s2443,s2423,s295,s2425,s91,s539]) ).
cnf(s2454,plain,
( ~ spl0_136
| ~ spl0_155
| ~ spl0_224
| ~ spl0_75
| ~ spl0_14
| spl0_222
| ~ spl0_10
| ~ spl0_149
| ~ spl0_152 ),
inference(rat,[],[s1579,s2107,s1015,s2012,s456,s81,s1718,s849,s2434,s2383,s2006,s615,s305,s765,s1357,s302,s908,s190,s358,s539,s91]) ).
cnf(s2455,plain,
( ~ spl0_48
| ~ spl0_155
| ~ spl0_14
| ~ spl0_10
| ~ spl0_149 ),
inference(rat,[],[s924,s495,s91]) ).
cnf(s2456,plain,
( spl0_40
| ~ spl0_31
| spl0_136
| ~ spl0_105
| ~ spl0_75
| spl0_211
| ~ spl0_10
| spl0_187
| ~ spl0_152 ),
inference(rat,[],[s736,s1834,s2386,s42,s194,s2105,s309,s2425]) ).
cnf(s2457,plain,
( ~ spl0_155
| ~ spl0_75
| ~ spl0_14
| spl0_211
| spl0_222
| ~ spl0_10
| spl0_187
| ~ spl0_149
| ~ spl0_152 ),
inference(rat,[],[s2374,s2148,s2107,s456,s2450,s2456,s51,s2455,s2105,s309,s2454,s765,s1357,s302,s908,s615,s2173,s190,s2425,s539,s91,s735]) ).
cnf(s2458,plain,
( ~ spl0_31
| ~ spl0_23
| spl0_30
| spl0_187 ),
inference(rat,[],[s736,s1834,s1682,s1865,s539]) ).
cnf(s2459,plain,
( ~ spl0_149
| ~ spl0_152
| spl0_3 ),
inference(rat,[],[s869,s1128,s1014,s517,s51,s2458,s1489,s2383,s973,s879,s650,s675,s765,s1522,s1951,s1350,s2457,s190,s2173,s137,s141,s443,s1496,s1964,s2453,s2443,s295,s539,s2423,s735]) ).
cnf(s2460,plain,
( ~ spl0_42
| ~ spl0_136
| ~ spl0_10
| spl0_7
| spl0_149 ),
inference(rat,[],[s18,s750,s85,s412,s1621,s56,s2423]) ).
cnf(s2461,plain,
( spl0_42
| ~ spl0_155
| spl0_7
| ~ spl0_266
| ~ spl0_152
| ~ spl0_11 ),
inference(rat,[],[s2012,s2052,s1718,s599,s603,s451,s2432,s475,s358,s91]) ).
cnf(s2462,plain,
( ~ spl0_155
| spl0_7
| spl0_172
| ~ spl0_266
| ~ spl0_152
| ~ spl0_11 ),
inference(rat,[],[s395,s400,s309,s1904,s456,s2105,s2100,s2396,s342,s603,s501,s1621,s56,s64,s2461,s2425,s2423]) ).
cnf(s2463,plain,
( ~ spl0_10
| ~ spl0_136
| spl0_7
| spl0_149
| ~ spl0_152
| ~ spl0_11 ),
inference(rat,[],[s750,s18,s879,s736,s599,s1953,s428,s606,s2054,s2460,s1951,s1350,s2462,s1640,s569,s2423,s295,s91]) ).
cnf(s2464,plain,
( spl0_404
| ~ spl0_160
| spl0_42
| spl0_30
| ~ spl0_266
| ~ spl0_11 ),
inference(rat,[],[s2205,s1344,s2259,s1483,s1656,s539]) ).
cnf(s2466,plain,
( ~ spl0_369
| ~ spl0_385
| spl0_401
| ~ spl0_386
| ~ spl0_136 ),
inference(rat,[],[s2235,s2206,s2099]) ).
cnf(s2467,plain,
( ~ spl0_370
| ~ spl0_385
| ~ spl0_185
| spl0_197
| ~ spl0_186 ),
inference(rat,[],[s2149,s2249]) ).
cnf(s2468,plain,
( spl0_48
| ~ spl0_15
| ~ spl0_136
| spl0_30
| ~ spl0_187
| spl0_7
| ~ spl0_266
| spl0_193
| ~ spl0_11 ),
inference(rat,[],[s901,s743,s2255,s1489,s2254,s1348,s2467,s1344,s2466,s1957,s2202,s2155,s2464,s879,s1953,s2352,s428,s447,s606,s849,s2054,s1677,s56,s51,s295,s539,s2423,s2425]) ).
cnf(s2469,plain,
( ~ spl0_42
| ~ spl0_136
| spl0_7
| ~ spl0_152
| spl0_3 ),
inference(rat,[],[s1432,s1957,s2154,s2452,s1489,s1248,s1322,s606,s1953,s2396,s1167,s85,s412,s501,s1621,s2395,s2468,s1522,s1951,s1350,s2462,s569,s1640,s359,s695,s2463,s2459,s6,s2423,s295,s2425,s91]) ).
cnf(s2470,plain,
( ~ spl0_136
| spl0_7
| ~ spl0_152
| spl0_3 ),
inference(rat,[],[s816,s683,s824,s1167,s1953,s144,s2350,s606,s962,s229,s177,s2054,s830,s475,s2469,s2468,s9,s695,s2463,s359,s1951,s1522,s1350,s2462,s569,s1640,s2459,s6,s2423,s2425,s735,s91,s295]) ).
cnf(s2471,plain,
( spl0_7
| ~ spl0_152
| spl0_3 ),
inference(rat,[],[s342,s2396,s51,s2105,s1687,s1027,s309,s2470,s1522,s1951,s1350,s2462,s6,s1640,s569,s2459,s2425,s91,s2423,s295]) ).
cnf(s2472,plain,
( ~ spl0_169
| spl0_211
| ~ spl0_10
| spl0_172
| ~ spl0_152 ),
inference(rat,[],[s2374,s2100,s2148,s2107]) ).
cnf(s2473,plain,
( ~ spl0_152
| spl0_3 ),
inference(rat,[],[s2324,s387,s442,s1350,s1489,s81,s1522,s2305,s1687,s2258,s51,s896,s495,s2105,s928,s1027,s309,s947,s782,s785,s2159,s456,s2472,s25,s2173,s615,s141,s443,s1496,s1964,s2471,s569,s1640,s2459,s359,s295,s2425,s91,s2423,s735,s539]) ).
cnf(s2476,plain,
( ~ spl0_42
| spl0_314
| spl0_7 ),
inference(rat,[],[s1167,s85,s1621,s56,s2423]) ).
cnf(s2477,plain,
( ~ spl0_149
| ~ spl0_136
| spl0_7
| spl0_3 ),
inference(rat,[],[s2052,s1471,s1953,s2366,s1167,s849,s430,s302,s229,s475,s2476,s1582,s6,s1523,s2473,s539,s2424,s2423,s91,s295]) ).
cnf(s2478,plain,
( spl0_202
| ~ spl0_136
| spl0_7
| ~ spl0_151 ),
inference(rat,[],[s2366,s847,s1953,s447,s606,s2423]) ).
cnf(s2479,plain,
( ~ spl0_136
| spl0_7
| spl0_3 ),
inference(rat,[],[s2448,s1957,s1331,s2447,s851,s1718,s1481,s1340,s1174,s362,s1865,s1659,s2196,s2054,s475,s1676,s2055,s1330,s1248,s2478,s1379,s569,s1640,s2477,s6,s1523,s2473,s2423,s735,s539,s91,s295]) ).
cnf(s2480,plain,
( ~ spl0_42
| ~ spl0_261
| spl0_7 ),
inference(rat,[],[s2396,s342,s1955,s501,s1621,s56,s1953,s2423]) ).
cnf(s2481,plain,
( spl0_7
| spl0_3 ),
inference(rat,[],[s1348,s1882,s2467,s1432,s1957,s1340,s2464,s2451,s1167,s1640,s43,s1473,s302,s193,s451,s229,s475,s2480,s847,s1953,s428,s447,s548,s606,s1330,s879,s429,s1999,s1190,s2479,s6,s1523,s2473,s295,s2423,s539,s91,s2424]) ).
cnf(s2482,plain,
( ~ spl0_156
| ~ spl0_169
| ~ spl0_23
| spl0_172 ),
inference(rat,[],[s85,s1617,s314]) ).
cnf(s2483,plain,
( spl0_31
| ~ spl0_136
| spl0_3 ),
inference(rat,[],[s816,s1008,s741,s1471,s978,s493,s85,s1494,s51,s137,s981,s1350,s2482,s2199,s2383,s141,s1964,s650,s1489,s1217,s1174,s1339,s443,s615,s1496,s2481,s1523,s2473,s539,s2423,s2424,s295]) ).
cnf(s2484,plain,
( ~ spl0_136
| spl0_3 ),
inference(rat,[],[s545,s382,s360,s316,s193,s42,s43,s81,s927,s2483,s1218,s1350,s2482,s2196,s2199,s2383,s6,s141,s793,s1964,s137,s650,s1489,s1217,s1174,s1339,s443,s615,s1496,s2481,s1523,s2473,s358,s295,s539]) ).
cnf(s2485,plain,
( spl0_155
| spl0_3 ),
inference(rat,[],[s961,s456,s2298,s2482,s1473,s1350,s141,s650,s548,s362,s18,s1234,s361,s1749,s2305,s382,s978,s2384,s309,s981,s1489,s1217,s1174,s1339,s443,s615,s1496,s1523,s2473,s2484,s1964,s2481,s91,s2424,s295,s539,s2425]) ).
cnf(s2486,plain,
spl0_3,
inference(rat,[],[s1687,s51,s1640,s493,s1218,s2485,s64,s2054,s362,s548,s2305,s382,s978,s2384,s309,s2484,s1489,s1217,s1174,s981,s1339,s615,s443,s1496,s1964,s2481,s1523,s2473,s6,s91,s2425,s295,s539]) ).
cnf(s2487,plain,
spl0_216,
inference(rat,[],[s2398,s2486]) ).
cnf(s2488,plain,
( spl0_202
| spl0_314
| spl0_7
| ~ spl0_136 ),
inference(rat,[],[s750,s18,s879,s683,s599,s1167,s1523,s847,s1953,s2478,s447,s606,s490,s475,s2476,s2423,s295,s2486,s91]) ).
cnf(s2490,plain,
( spl0_40
| ~ spl0_187
| ~ spl0_211
| spl0_75
| ~ spl0_149
| ~ spl0_136 ),
inference(rat,[],[s1523,s1327,s359,s2244,s1386,s1471,s1340,s1611,s2397,s800,s99,s683,s42,s2166,s136,s295,s2487,s539,s2424,s2423,s91]) ).
cnf(s2491,plain,
( ~ spl0_187
| ~ spl0_149
| spl0_7
| ~ spl0_136 ),
inference(rat,[],[s1847,s676,s736,s590,s851,s2014,s359,s828,s1523,s1489,s1086,s650,s1350,s2012,s842,s1522,s1718,s489,s183,s430,s456,s51,s849,s85,s1167,s2490,s618,s490,s475,s2476,s2173,s740,s2488,s1582,s2423,s2486,s735,s295,s358,s539,s91]) ).
cnf(s2492,plain,
( ~ spl0_149
| spl0_7
| ~ spl0_136 ),
inference(rat,[],[s1489,s828,s650,s1910,s2100,s590,s1523,s676,s430,s456,s1174,s1847,s2450,s1218,s2451,s2056,s1350,s2012,s42,s1522,s1386,s851,s605,s362,s2491,s2173,s740,s2488,s618,s490,s475,s2476,s1582,s295,s2423,s2486,s358,s2487,s735,s91]) ).
cnf(s2493,plain,
( ~ spl0_42
| ~ spl0_187
| spl0_7
| ~ spl0_136 ),
inference(rat,[],[s1847,s1684,s676,s2476,s2460,s2492,s2423,s2486]) ).
cnf(s2494,plain,
( spl0_28
| ~ spl0_35
| spl0_149 ),
inference(rat,[],[s489,s1479,s1477,s2118,s2119,s2486,s295,s539]) ).
cnf(s2495,plain,
( spl0_179
| spl0_172
| spl0_7 ),
inference(rat,[],[s489,s842,s430,s456,s2486,s539,s2423]) ).
cnf(s2496,plain,
( ~ spl0_187
| spl0_7
| ~ spl0_136 ),
inference(rat,[],[s1847,s676,s1684,s18,s1167,s2430,s194,s2494,s618,s490,s475,s2493,s849,s2495,s569,s2492,s2423,s2486,s91]) ).
cnf(s2497,plain,
( ~ spl0_42
| spl0_7
| ~ spl0_136 ),
inference(rat,[],[s2366,s1847,s1523,s676,s603,s2460,s64,s1640,s849,s2495,s569,s2492,s2496,s295,s2423,s2486,s91]) ).
cnf(s2498,plain,
( spl0_7
| ~ spl0_136 ),
inference(rat,[],[s1725,s1015,s1350,s2006,s615,s1951,s2400,s1523,s2366,s1847,s676,s18,s2430,s2494,s618,s490,s475,s2497,s2496,s849,s2495,s569,s2492,s91,s2423,s2486,s539,s295]) ).
cnf(s2499,plain,
~ spl0_136,
inference(rat,[],[s816,s741,s1008,s85,s736,s2012,s1494,s51,s545,s542,s927,s1489,s1218,s1217,s1174,s1523,s1350,s2472,s2482,s765,s456,s548,s1357,s81,s849,s740,s489,s490,s2383,s1339,s2173,s615,s137,s141,s443,s1496,s1964,s2498,s539,s2423,s358,s295,s2486,s735]) ).
cnf(s2502,plain,
~ spl0_172,
inference(rat,[],[s675,s2499]) ).
cnf(s2503,plain,
~ spl0_8,
inference(rat,[],[s591,s2499]) ).
cnf(s2504,plain,
spl0_150,
inference(rat,[],[s309,s2499]) ).
cnf(s2508,plain,
spl0_10,
inference(rat,[],[s5,s2486,s2425,s2503]) ).
cnf(s2510,plain,
~ spl0_4,
inference(rat,[],[s700,s2486,s2508]) ).
cnf(s2512,plain,
( spl0_7
| ~ spl0_149 ),
inference(rat,[],[s721,s944,s741,s1218,s2450,s1086,s1350,s1523,s1574,s2400,s615,s842,s489,s879,s2495,s1999,s539,s2423,s295,s2487,s2502,s2486,s2499]) ).
cnf(s2513,plain,
( spl0_40
| ~ spl0_187
| ~ spl0_149 ),
inference(rat,[],[s2089,s59,s847,s27,s2386,s1523,s2396,s1086,s336,s1473,s2173,s2384,s1339,s443,s615,s1496,s81,s2333,s490,s137,s2512,s2499,s2508,s295,s91,s2423,s2424,s2486,s2504,s2425,s539,s735]) ).
cnf(s2514,plain,
( ~ spl0_187
| ~ spl0_149 ),
inference(rat,[],[s51,s2439,s85,s1167,s2513,s1684,s2384,s1339,s615,s1496,s81,s490,s137,s548,s740,s2173,s443,s2512,s2508,s2510,s2486,s735,s2504,s2425,s539]) ).
cnf(s2515,plain,
( ~ spl0_155
| ~ spl0_149 ),
inference(rat,[],[s1174,s1523,s1218,s2457,s141,s137,s1339,s443,s615,s1496,s2512,s2514,s295,s2508,s539]) ).
cnf(s2516,plain,
~ spl0_149,
inference(rat,[],[s2458,s31,s1167,s279,s1473,s2515,s1466,s1954,s2514,s606,s81,s740,s490,s2173,s137,s443,s2512,s91,s2423,s2504,s2499,s2424,s2508,s2486,s735]) ).
cnf(s2517,plain,
spl0_266,
inference(rat,[],[s1640,s91,s2516]) ).
cnf(s2519,plain,
spl0_40,
inference(rat,[],[s1027,s2499,s2423,s91,s2516]) ).
cnf(s2520,plain,
~ spl0_34,
inference(rat,[],[s280,s2499,s2423,s91,s2516]) ).
cnf(s2522,plain,
( spl0_185
| spl0_7 ),
inference(rat,[],[s1340,s1386,s2056,s1196,s2384,s363,s4,s1350,s1574,s615,s489,s879,s1999,s539,s2487,s2425,s2504,s295,s2502,s2486,s2499,s2423]) ).
cnf(s2523,plain,
( ~ spl0_187
| spl0_7 ),
inference(rat,[],[s641,s1903,s434,s2476,s316,s1684,s643,s722,s2495,s1523,s2400,s1350,s1574,s615,s489,s879,s1999,s2522,s2423,s2519,s295,s2502,s2487,s539,s2486,s2499,s2508]) ).
cnf(s2524,plain,
spl0_7,
inference(rat,[],[s2451,s2012,s2305,s542,s362,s1489,s2523,s1217,s944,s721,s2522,s1523,s2400,s615,s842,s489,s879,s2495,s1999,s2519,s358,s2499,s2516,s295,s2502,s2486,s539,s2423]) ).
cnf(s2525,plain,
~ spl0_222,
inference(rat,[],[s1496,s2524]) ).
cnf(s2528,plain,
spl0_75,
inference(rat,[],[s137,s2524]) ).
cnf(s2530,plain,
spl0_105,
inference(rat,[],[s615,s539,s2525]) ).
cnf(s2536,plain,
~ spl0_66,
inference(rat,[],[s490,s2486,s2528]) ).
cnf(s2541,plain,
~ spl0_160,
inference(rat,[],[s489,s2486,s2530]) ).
cnf(s2547,plain,
spl0_42,
inference(rat,[],[s475,s91,s2536]) ).
cnf(s2548,plain,
~ spl0_30,
inference(rat,[],[s81,s2536]) ).
cnf(s2564,plain,
~ spl0_35,
inference(rat,[],[s1467,s2541,s539,s2517,s2547]) ).
cnf(s2566,plain,
~ spl0_31,
inference(rat,[],[s1687,s2499,s2517,s2548]) ).
cnf(s2572,plain,
~ spl0_314,
inference(rat,[],[s1466,s2508,s2564]) ).
cnf(s2575,plain,
~ spl0_23,
inference(rat,[],[s31,s2520,s2566]) ).
cnf(s2580,plain,
$false,
inference(rat,[],[s1167,s2519,s2572,s2575]) ).
thf(f22478,plain,
$false,
inference(avatar_sat_refutation,[],[s2580]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA147^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 % Computer : n008.cluster.edu
% 0.09/0.24 % Model : x86_64 x86_64
% 0.09/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.24 % Memory : 8046.5625MB
% 0.09/0.24 % OS : Linux 6.8.0-71-generic
% 0.09/0.24 % CPULimit : 300
% 0.09/0.24 % WCLimit : 300
% 0.09/0.24 % DateTime : Tue Sep 29 19:04:54 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running higher-order theorem proving
% 0.25/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.27/0.50 % (3590392)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.27/0.50 % (3590400)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=1915455672: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)
% 1.27/0.50 % (3590403)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.27/0.50 % (3590403)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.27/0.50 % (3590397)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1157564603:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.27/0.50 % (3590398)lrs+10_16_si=on:nwc=1.5:random_seed=2804235413:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.27/0.50 % (3590399)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1359091397:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.27/0.50 % (3590401)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=707964152:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.27/0.50 % (3590402)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1364649967:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.27/0.50 % (3590403)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=1708119754:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.27/0.50 % (3590399)Instruction limit reached!
% 1.27/0.50 % (3590399)------------------------------
% 1.27/0.50 % (3590399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50 % (3590399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50 % (3590399)CaDiCaL version: 2.1.3
% 1.27/0.50 % (3590399)Termination reason: Instruction limit
% 1.27/0.50 % (3590399)Termination phase: Saturation
% 1.27/0.50 % (3590399)Time elapsed: 0.004 s
% 1.27/0.50 % (3590399)Peak memory usage: 12 MB
% 1.27/0.50 % (3590399)Instructions burned: 3 (million)
% 1.27/0.50 % (3590398)Instruction limit reached!
% 1.27/0.50 % (3590398)------------------------------
% 1.27/0.50 % (3590398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50 % (3590398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50 % (3590398)CaDiCaL version: 2.1.3
% 1.27/0.50 % (3590398)Termination reason: Instruction limit
% 1.27/0.50 % (3590398)Termination phase: Saturation
% 1.27/0.50 % (3590398)Time elapsed: 0.015 s
% 1.27/0.50 % (3590398)Peak memory usage: 12 MB
% 1.27/0.50 % (3590398)Instructions burned: 19 (million)
% 1.27/0.50 % (3590401)Instruction limit reached!
% 1.27/0.50 % (3590401)------------------------------
% 1.27/0.50 % (3590401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50 % (3590401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.50 % (3590401)CaDiCaL version: 2.1.3
% 1.27/0.50 % (3590401)Termination reason: Instruction limit
% 1.27/0.50 % (3590401)Termination phase: Saturation
% 1.27/0.50 % (3590401)Time elapsed: 0.019 s
% 1.27/0.50 % (3590401)Peak memory usage: 11 MB
% 1.27/0.50 % (3590401)Instructions burned: 24 (million)
% 1.27/0.50 % (3590413)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.27/0.50 % (3590411)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1253960116:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.27/0.50 % (3590413)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1878819616:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.27/0.50 % (3590411)Instruction limit reached!
% 1.27/0.50 % (3590411)------------------------------
% 1.27/0.50 % (3590411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.50 % (3590411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.52 % (3590411)CaDiCaL version: 2.1.3
% 1.27/0.52 % (3590411)Termination reason: Instruction limit
% 1.27/0.52 % (3590411)Termination phase: Saturation
% 1.27/0.52 % (3590411)Time elapsed: 0.003 s
% 1.27/0.52 % (3590411)Peak memory usage: 12 MB
% 1.27/0.52 % (3590411)Instructions burned: 2 (million)
% 1.27/0.52 % (3590412)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3248092228:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.27/0.52 % (3590413)Instruction limit reached!
% 1.27/0.52 % (3590413)------------------------------
% 1.27/0.52 % (3590413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.52 % (3590413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.52 % (3590413)CaDiCaL version: 2.1.3
% 1.27/0.52 % (3590413)Termination reason: Instruction limit
% 1.27/0.52 % (3590413)Termination phase: Saturation
% 1.27/0.52 % (3590413)Time elapsed: 0.006 s
% 1.27/0.52 % (3590413)Peak memory usage: 12 MB
% 1.27/0.52 % (3590413)Instructions burned: 8 (million)
% 1.27/0.52 % (3590412)Instruction limit reached!
% 1.27/0.52 % (3590412)------------------------------
% 1.27/0.52 % (3590412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.52 % (3590412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.52 % (3590412)CaDiCaL version: 2.1.3
% 1.27/0.52 % (3590412)Termination reason: Instruction limit
% 1.27/0.52 % (3590412)Termination phase: Saturation
% 1.27/0.52 % (3590412)Time elapsed: 0.006 s
% 1.27/0.52 % (3590412)Peak memory usage: 12 MB
% 1.27/0.52 % (3590412)Instructions burned: 6 (million)
% 1.27/0.52 % (3590397)Instruction limit reached!
% 1.27/0.52 % (3590397)------------------------------
% 1.27/0.52 % (3590397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.52 % (3590397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.52 % (3590397)CaDiCaL version: 2.1.3
% 1.27/0.52 % (3590397)Termination reason: Instruction limit
% 1.27/0.52 % (3590397)Termination phase: Saturation
% 1.27/0.52 % (3590397)Time elapsed: 0.059 s
% 1.27/0.52 % (3590397)Peak memory usage: 12 MB
% 1.27/0.52 % (3590397)Instructions burned: 88 (million)
% 1.27/0.52 % (3590402)Instruction limit reached!
% 1.27/0.52 % (3590402)------------------------------
% 1.27/0.52 % (3590402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.52 % (3590402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.52 % (3590402)CaDiCaL version: 2.1.3
% 1.27/0.52 % (3590402)Termination reason: Instruction limit
% 1.27/0.52 % (3590402)Termination phase: Saturation
% 1.27/0.52 % (3590402)Time elapsed: 0.061 s
% 1.27/0.52 % (3590402)Peak memory usage: 12 MB
% 1.27/0.52 % (3590402)Instructions burned: 75 (million)
% 1.27/0.52 % (3590418)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.27/0.52 % (3590418)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.27/0.52 % (3590418)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1921731024:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.27/0.52 % (3590416)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1567033596:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.27/0.52 % (3590418)Instruction limit reached!
% 1.27/0.52 % (3590418)------------------------------
% 1.27/0.52 % (3590418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.52 % (3590418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.52 % (3590418)CaDiCaL version: 2.1.3
% 1.27/0.52 % (3590418)Termination reason: Instruction limit
% 1.27/0.52 % (3590418)Termination phase: Saturation
% 1.27/0.52 % (3590418)Time elapsed: 0.014 s
% 1.27/0.52 % (3590418)Peak memory usage: 12 MB
% 1.27/0.52 % (3590418)Instructions burned: 28 (million)
% 1.27/0.52 % (3590419)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=232293422:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.27/0.52 % (3590416)Instruction limit reached!
% 1.27/0.52 % (3590416)------------------------------
% 1.27/0.52 % (3590416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.56 % (3590416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.56 % (3590416)CaDiCaL version: 2.1.3
% 1.27/0.56 % (3590416)Termination reason: Instruction limit
% 1.27/0.56 % (3590416)Termination phase: Saturation
% 1.27/0.56 % (3590416)Time elapsed: 0.012 s
% 1.27/0.56 % (3590416)Peak memory usage: 12 MB
% 1.27/0.56 % (3590416)Instructions burned: 12 (million)
% 1.27/0.56 % (3590421)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.27/0.56 % (3590420)lrs+10_1_si=on:cs=on:random_seed=3003867069:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.27/0.56 % (3590421)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=2265384942:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.27/0.56 % (3590421)Instruction limit reached!
% 1.27/0.56 % (3590421)------------------------------
% 1.27/0.56 % (3590421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.56 % (3590421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.56 % (3590421)CaDiCaL version: 2.1.3
% 1.27/0.56 % (3590421)Termination reason: Instruction limit
% 1.27/0.56 % (3590421)Termination phase: Saturation
% 1.27/0.56 % (3590421)Time elapsed: 0.003 s
% 1.27/0.56 % (3590421)Peak memory usage: 11 MB
% 1.27/0.56 % (3590421)Instructions burned: 3 (million)
% 1.27/0.56 % (3590420)Instruction limit reached!
% 1.27/0.56 % (3590420)------------------------------
% 1.27/0.56 % (3590420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.56 % (3590420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.56 % (3590420)CaDiCaL version: 2.1.3
% 1.27/0.56 % (3590420)Termination reason: Instruction limit
% 1.27/0.56 % (3590420)Termination phase: Saturation
% 1.27/0.56 % (3590420)Time elapsed: 0.008 s
% 1.27/0.56 % (3590420)Peak memory usage: 12 MB
% 1.27/0.56 % (3590420)Instructions burned: 8 (million)
% 1.27/0.56 % (3590403)Instruction limit reached!
% 1.27/0.56 % (3590403)------------------------------
% 1.27/0.56 % (3590403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.56 % (3590403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.56 % (3590403)CaDiCaL version: 2.1.3
% 1.27/0.56 % (3590403)Termination reason: Instruction limit
% 1.27/0.56 % (3590403)Termination phase: Saturation
% 1.27/0.56 % (3590403)Time elapsed: 0.107 s
% 1.27/0.56 % (3590403)Peak memory usage: 12 MB
% 1.27/0.56 % (3590403)Instructions burned: 157 (million)
% 1.27/0.56 % (3590424)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4280397444:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.27/0.56 % (3590424)Refutation not found, incomplete strategy
% 1.27/0.56 % (3590424)------------------------------
% 1.27/0.56 % (3590424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.56 % (3590424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.56 % (3590424)CaDiCaL version: 2.1.3
% 1.27/0.56 % (3590424)Termination reason: Refutation not found, incomplete strategy
% 1.27/0.56 % (3590424)Time elapsed: 0.001 s
% 1.27/0.56 % (3590424)Peak memory usage: 12 MB
% 1.27/0.56 % (3590424)------------------------------
% 1.27/0.56 % (3590424)------------------------------
% 1.27/0.56 % (3590426)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4229415328:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.27/0.56 % (3590426)Refutation not found, incomplete strategy
% 1.27/0.56 % (3590426)------------------------------
% 1.27/0.56 % (3590426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.56 % (3590426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.56 % (3590426)CaDiCaL version: 2.1.3
% 1.27/0.56 % (3590426)Termination reason: Refutation not found, incomplete strategy
% 1.27/0.56 % (3590426)Time elapsed: 0.001 s
% 1.27/0.56 % (3590426)Peak memory usage: 11 MB
% 1.27/0.56 % (3590426)------------------------------
% 1.27/0.56 % (3590426)------------------------------
% 1.27/0.56 % (3590429)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2001476326:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.27/0.56 % (3590430)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3223069651:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.03/0.60 % (3590429)Refutation not found, incomplete strategy
% 2.03/0.60 % (3590429)------------------------------
% 2.03/0.60 % (3590429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.60 % (3590429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.60 % (3590429)CaDiCaL version: 2.1.3
% 2.03/0.60 % (3590429)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.60 % (3590429)Time elapsed: 0.001 s
% 2.03/0.60 % (3590429)Peak memory usage: 11 MB
% 2.03/0.60 % (3590429)------------------------------
% 2.03/0.60 % (3590429)------------------------------
% 2.03/0.60 % (3590431)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3879985607:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.03/0.60 % (3590431)Refutation not found, incomplete strategy
% 2.03/0.60 % (3590431)------------------------------
% 2.03/0.60 % (3590431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.60 % (3590431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.60 % (3590431)CaDiCaL version: 2.1.3
% 2.03/0.60 % (3590431)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.60 % (3590431)Time elapsed: 0.001 s
% 2.03/0.60 % (3590431)Peak memory usage: 11 MB
% 2.03/0.60 % (3590431)------------------------------
% 2.03/0.60 % (3590431)------------------------------
% 2.03/0.60 % (3590433)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4207562801:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.03/0.60 % (3590430)Instruction limit reached!
% 2.03/0.60 % (3590430)------------------------------
% 2.03/0.60 % (3590430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.60 % (3590430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.60 % (3590430)CaDiCaL version: 2.1.3
% 2.03/0.60 % (3590430)Termination reason: Instruction limit
% 2.03/0.60 % (3590430)Termination phase: Saturation
% 2.03/0.60 % (3590430)Time elapsed: 0.016 s
% 2.03/0.60 % (3590430)Peak memory usage: 12 MB
% 2.03/0.60 % (3590430)Instructions burned: 16 (million)
% 2.03/0.60 % (3590435)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=643436022: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)
% 2.03/0.60 % (3590419)Instruction limit reached!
% 2.03/0.60 % (3590419)------------------------------
% 2.03/0.60 % (3590419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.60 % (3590419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.60 % (3590419)CaDiCaL version: 2.1.3
% 2.03/0.60 % (3590419)Termination reason: Instruction limit
% 2.03/0.60 % (3590419)Termination phase: Saturation
% 2.03/0.60 % (3590419)Time elapsed: 0.069 s
% 2.03/0.60 % (3590419)Peak memory usage: 12 MB
% 2.03/0.60 % (3590419)Instructions burned: 86 (million)
% 2.03/0.60 % (3590435)Refutation not found, incomplete strategy
% 2.03/0.60 % (3590435)------------------------------
% 2.03/0.60 % (3590435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.60 % (3590435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.60 % (3590435)CaDiCaL version: 2.1.3
% 2.03/0.60 % (3590435)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.60 % (3590435)Time elapsed: 0.001 s
% 2.03/0.60 % (3590435)Peak memory usage: 11 MB
% 2.03/0.60 % (3590435)------------------------------
% 2.03/0.60 % (3590435)------------------------------
% 2.03/0.60 % (3590433)Instruction limit reached!
% 2.03/0.60 % (3590433)------------------------------
% 2.03/0.60 % (3590433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.60 % (3590433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.60 % (3590433)CaDiCaL version: 2.1.3
% 2.03/0.60 % (3590433)Termination reason: Instruction limit
% 2.03/0.60 % (3590433)Termination phase: Saturation
% 2.03/0.60 % (3590433)Time elapsed: 0.013 s
% 2.03/0.60 % (3590438)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=142467248:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.03/0.60 % (3590433)Peak memory usage: 12 MB
% 2.03/0.60 % (3590433)Instructions burned: 14 (million)
% 2.03/0.63 % (3590400)Instruction limit reached!
% 2.03/0.63 % (3590400)------------------------------
% 2.03/0.63 % (3590400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.63 % (3590400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.63 % (3590400)CaDiCaL version: 2.1.3
% 2.03/0.63 % (3590400)Termination reason: Instruction limit
% 2.03/0.63 % (3590400)Termination phase: Saturation
% 2.03/0.63 % (3590400)Time elapsed: 0.180 s
% 2.03/0.63 % (3590400)Peak memory usage: 12 MB
% 2.03/0.63 % (3590400)Instructions burned: 637 (million)
% 2.03/0.63 % (3590440)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3625825156:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.03/0.63 % (3590442)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4066334092:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.03/0.63 % (3590444)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
% 2.03/0.63 % (3590444)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.03/0.63 % (3590445)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.03/0.63 % (3590448)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=108206325:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.03/0.63 % (3590438)Instruction limit reached!
% 2.03/0.63 % (3590438)------------------------------
% 2.03/0.63 % (3590438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.63 % (3590438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.63 % (3590438)CaDiCaL version: 2.1.3
% 2.03/0.63 % (3590438)Termination reason: Instruction limit
% 2.03/0.63 % (3590438)Termination phase: Saturation
% 2.03/0.63 % (3590438)Time elapsed: 0.025 s
% 2.03/0.63 % (3590438)Peak memory usage: 12 MB
% 2.03/0.63 % (3590438)Instructions burned: 27 (million)
% 2.03/0.63 % (3590444)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=3623270658:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.03/0.63 % (3590448)Instruction limit reached!
% 2.03/0.63 % (3590448)------------------------------
% 2.03/0.63 % (3590448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.63 % (3590448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.63 % (3590448)CaDiCaL version: 2.1.3
% 2.03/0.63 % (3590448)Termination reason: Instruction limit
% 2.03/0.63 % (3590448)Termination phase: Saturation
% 2.03/0.63 % (3590448)Time elapsed: 0.004 s
% 2.03/0.63 % (3590448)Peak memory usage: 12 MB
% 2.03/0.63 % (3590448)Instructions burned: 8 (million)
% 2.03/0.63 % (3590445)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=1750225226:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.03/0.63 % (3590447)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=3595087503:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.03/0.63 % (3590440)Instruction limit reached!
% 2.03/0.63 % (3590440)------------------------------
% 2.03/0.63 % (3590440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.63 % (3590440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.63 % (3590440)CaDiCaL version: 2.1.3
% 2.03/0.63 % (3590440)Termination reason: Instruction limit
% 2.03/0.63 % (3590440)Termination phase: Saturation
% 2.03/0.63 % (3590440)Time elapsed: 0.017 s
% 2.03/0.63 % (3590440)Peak memory usage: 11 MB
% 2.03/0.63 % (3590440)Instructions burned: 23 (million)
% 2.03/0.63 % (3590445)Instruction limit reached!
% 2.03/0.63 % (3590445)------------------------------
% 2.03/0.63 % (3590445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.63 % (3590445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.63 % (3590445)CaDiCaL version: 2.1.3
% 2.27/0.70 % (3590445)Termination reason: Instruction limit
% 2.27/0.70 % (3590445)Termination phase: Saturation
% 2.27/0.70 % (3590445)Time elapsed: 0.008 s
% 2.27/0.70 % (3590445)Peak memory usage: 12 MB
% 2.27/0.70 % (3590445)Instructions burned: 8 (million)
% 2.27/0.70 % (3590444)Instruction limit reached!
% 2.27/0.70 % (3590444)------------------------------
% 2.27/0.70 % (3590444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.70 % (3590444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.70 % (3590444)CaDiCaL version: 2.1.3
% 2.27/0.70 % (3590444)Termination reason: Instruction limit
% 2.27/0.70 % (3590444)Termination phase: Saturation
% 2.27/0.70 % (3590444)Time elapsed: 0.014 s
% 2.27/0.70 % (3590444)Peak memory usage: 12 MB
% 2.27/0.70 % (3590444)Instructions burned: 14 (million)
% 2.27/0.70 % (3590455)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3432398205:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.27/0.70 % (3590455)Instruction limit reached!
% 2.27/0.70 % (3590455)------------------------------
% 2.27/0.70 % (3590455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.70 % (3590455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.70 % (3590455)CaDiCaL version: 2.1.3
% 2.27/0.70 % (3590455)Termination reason: Instruction limit
% 2.27/0.70 % (3590455)Termination phase: Saturation
% 2.27/0.70 % (3590455)Time elapsed: 0.009 s
% 2.27/0.70 % (3590455)Peak memory usage: 12 MB
% 2.27/0.70 % (3590455)Instructions burned: 20 (million)
% 2.27/0.70 % (3590447)Instruction limit reached!
% 2.27/0.70 % (3590447)------------------------------
% 2.27/0.70 % (3590447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.70 % (3590447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.70 % (3590447)CaDiCaL version: 2.1.3
% 2.27/0.70 % (3590447)Termination reason: Instruction limit
% 2.27/0.70 % (3590447)Termination phase: Saturation
% 2.27/0.70 % (3590447)Time elapsed: 0.028 s
% 2.27/0.70 % (3590447)Peak memory usage: 12 MB
% 2.27/0.70 % (3590447)Instructions burned: 31 (million)
% 2.27/0.70 % (3590453)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1555063736:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.27/0.70 % (3590457)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1979736834:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.27/0.70 % (3590442)Instruction limit reached!
% 2.27/0.70 % (3590442)------------------------------
% 2.27/0.70 % (3590442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.70 % (3590442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.70 % (3590442)CaDiCaL version: 2.1.3
% 2.27/0.70 % (3590442)Termination reason: Instruction limit
% 2.27/0.70 % (3590442)Termination phase: Saturation
% 2.27/0.70 % (3590442)Time elapsed: 0.045 s
% 2.27/0.70 % (3590442)Peak memory usage: 12 MB
% 2.27/0.70 % (3590442)Instructions burned: 61 (million)
% 2.27/0.70 % (3590458)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4145343081:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.27/0.70 % (3590459)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2569680340:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.27/0.70 % (3590459)Refutation not found, incomplete strategy
% 2.27/0.70 % (3590459)------------------------------
% 2.27/0.70 % (3590459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.70 % (3590459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.70 % (3590459)CaDiCaL version: 2.1.3
% 2.27/0.70 % (3590459)Termination reason: Refutation not found, incomplete strategy
% 2.27/0.70 % (3590459)Time elapsed: 0.001 s
% 2.27/0.70 % (3590459)Peak memory usage: 11 MB
% 2.27/0.70 % (3590459)------------------------------
% 2.27/0.70 % (3590459)------------------------------
% 2.27/0.70 % (3590461)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3486046613:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.27/0.70 % (3590453)Instruction limit reached!
% 2.27/0.70 % (3590453)------------------------------
% 2.27/0.70 % (3590453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.70 % (3590453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.78 % (3590453)CaDiCaL version: 2.1.3
% 2.60/0.78 % (3590453)Termination reason: Instruction limit
% 2.60/0.78 % (3590453)Termination phase: Saturation
% 2.60/0.78 % (3590453)Time elapsed: 0.021 s
% 2.60/0.78 % (3590453)Peak memory usage: 11 MB
% 2.60/0.78 % (3590453)Instructions burned: 26 (million)
% 2.60/0.78 % (3590462)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.60/0.78 % (3590462)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3937016830:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.60/0.78 % (3590461)Instruction limit reached!
% 2.60/0.78 % (3590461)------------------------------
% 2.60/0.78 % (3590461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.78 % (3590461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.78 % (3590461)CaDiCaL version: 2.1.3
% 2.60/0.78 % (3590461)Termination reason: Instruction limit
% 2.60/0.78 % (3590461)Termination phase: Saturation
% 2.60/0.78 % (3590461)Time elapsed: 0.017 s
% 2.60/0.78 % (3590461)Peak memory usage: 11 MB
% 2.60/0.78 % (3590461)Instructions burned: 44 (million)
% 2.60/0.78 % (3590465)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=137228244:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.60/0.78 % (3590465)Refutation not found, incomplete strategy
% 2.60/0.78 % (3590465)------------------------------
% 2.60/0.78 % (3590465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.78 % (3590465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.78 % (3590465)CaDiCaL version: 2.1.3
% 2.60/0.78 % (3590465)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.78 % (3590465)Time elapsed: 0.001 s
% 2.60/0.78 % (3590465)Peak memory usage: 11 MB
% 2.60/0.78 % (3590470)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.60/0.78 % (3590465)------------------------------
% 2.60/0.78 % (3590465)------------------------------
% 2.60/0.78 % (3590462)Instruction limit reached!
% 2.60/0.78 % (3590462)------------------------------
% 2.60/0.78 % (3590462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.78 % (3590462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.78 % (3590462)CaDiCaL version: 2.1.3
% 2.60/0.78 % (3590462)Termination reason: Instruction limit
% 2.60/0.78 % (3590462)Termination phase: Saturation
% 2.60/0.78 % (3590462)Time elapsed: 0.007 s
% 2.60/0.78 % (3590462)Peak memory usage: 12 MB
% 2.60/0.78 % (3590462)Instructions burned: 7 (million)
% 2.60/0.78 % (3590470)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=753390005:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.60/0.78 % (3590470)Refutation not found, incomplete strategy
% 2.60/0.78 % (3590470)------------------------------
% 2.60/0.78 % (3590470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.78 % (3590470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.78 % (3590470)CaDiCaL version: 2.1.3
% 2.60/0.78 % (3590470)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.78 % (3590470)Time elapsed: 0.002 s
% 2.60/0.78 % (3590470)Peak memory usage: 11 MB
% 2.60/0.78 % (3590470)Instructions burned: 2 (million)
% 2.60/0.78 % (3590470)------------------------------
% 2.60/0.78 % (3590470)------------------------------
% 2.60/0.78 % (3590468)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=3718147341: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)
% 2.60/0.78 % (3590468)Refutation not found, incomplete strategy
% 2.60/0.78 % (3590468)------------------------------
% 2.60/0.78 % (3590468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.78 % (3590468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.78 % (3590468)CaDiCaL version: 2.1.3
% 2.60/0.78 % (3590468)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.78 % (3590468)Time elapsed: 0.001 s
% 2.60/0.78 % (3590468)Peak memory usage: 11 MB
% 2.60/0.78 % (3590468)------------------------------
% 3.10/0.84 % (3590468)------------------------------
% 3.10/0.84 % (3590475)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=3665636266:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.10/0.84 % (3590474)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3637774805:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.10/0.84 % (3590474)Refutation not found, incomplete strategy
% 3.10/0.84 % (3590474)------------------------------
% 3.10/0.84 % (3590474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.84 % (3590474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.84 % (3590474)CaDiCaL version: 2.1.3
% 3.10/0.84 % (3590474)Termination reason: Refutation not found, incomplete strategy
% 3.10/0.84 % (3590474)Time elapsed: 0.002 s
% 3.10/0.84 % (3590474)Peak memory usage: 12 MB
% 3.10/0.84 % (3590474)Instructions burned: 3 (million)
% 3.10/0.84 % (3590474)------------------------------
% 3.10/0.84 % (3590474)------------------------------
% 3.10/0.84 % (3590473)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3204257998:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.10/0.84 % (3590478)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=233482198: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)
% 3.10/0.84 % (3590479)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=1048866297: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)
% 3.10/0.84 % (3590482)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1601271671:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.10/0.84 % (3590482)Refutation not found, incomplete strategy
% 3.10/0.84 % (3590482)------------------------------
% 3.10/0.84 % (3590482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.84 % (3590482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.84 % (3590482)CaDiCaL version: 2.1.3
% 3.10/0.84 % (3590482)Termination reason: Refutation not found, incomplete strategy
% 3.10/0.84 % (3590482)Time elapsed: 0.001 s
% 3.10/0.84 % (3590482)Peak memory usage: 11 MB
% 3.10/0.84 % (3590482)Instructions burned: 1 (million)
% 3.10/0.84 % (3590482)------------------------------
% 3.10/0.84 % (3590482)------------------------------
% 3.10/0.84 % (3590473)Instruction limit reached!
% 3.10/0.84 % (3590473)------------------------------
% 3.10/0.84 % (3590473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.84 % (3590473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.84 % (3590473)CaDiCaL version: 2.1.3
% 3.10/0.84 % (3590473)Termination reason: Instruction limit
% 3.10/0.84 % (3590473)Termination phase: Saturation
% 3.10/0.84 % (3590473)Time elapsed: 0.019 s
% 3.10/0.84 % (3590473)Peak memory usage: 12 MB
% 3.10/0.84 % (3590473)Instructions burned: 22 (million)
% 3.10/0.84 % (3590458)Instruction limit reached!
% 3.10/0.84 % (3590458)------------------------------
% 3.10/0.84 % (3590458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.84 % (3590458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.84 % (3590458)CaDiCaL version: 2.1.3
% 3.10/0.84 % (3590458)Termination reason: Instruction limit
% 3.10/0.84 % (3590458)Termination phase: Saturation
% 3.10/0.84 % (3590458)Time elapsed: 0.097 s
% 3.10/0.84 % (3590458)Peak memory usage: 12 MB
% 3.10/0.84 % (3590458)Instructions burned: 143 (million)
% 3.10/0.84 % (3590488)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.10/0.84 % (3590487)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=4281291750: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)
% 3.10/0.84 % (3590488)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3198991122:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.81/0.91 % (3590479)Instruction limit reached!
% 3.81/0.91 % (3590479)------------------------------
% 3.81/0.91 % (3590479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.81/0.91 % (3590479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/0.91 % (3590479)CaDiCaL version: 2.1.3
% 3.81/0.91 % (3590479)Termination reason: Instruction limit
% 3.81/0.91 % (3590479)Termination phase: Saturation
% 3.81/0.91 % (3590479)Time elapsed: 0.039 s
% 3.81/0.91 % (3590479)Peak memory usage: 12 MB
% 3.81/0.91 % (3590479)Instructions burned: 46 (million)
% 3.81/0.91 % (3590489)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3378731196:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.81/0.91 % (3590489)Instruction limit reached!
% 3.81/0.91 % (3590489)------------------------------
% 3.81/0.91 % (3590489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.81/0.91 % (3590489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/0.91 % (3590489)CaDiCaL version: 2.1.3
% 3.81/0.91 % (3590489)Termination reason: Instruction limit
% 3.81/0.91 % (3590489)Termination phase: Saturation
% 3.81/0.91 % (3590489)Time elapsed: 0.008 s
% 3.81/0.91 % (3590489)Peak memory usage: 12 MB
% 3.81/0.91 % (3590489)Instructions burned: 14 (million)
% 3.81/0.91 % (3590487)Instruction limit reached!
% 3.81/0.91 % (3590487)------------------------------
% 3.81/0.91 % (3590487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.81/0.91 % (3590487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/0.91 % (3590487)CaDiCaL version: 2.1.3
% 3.81/0.91 % (3590487)Termination reason: Instruction limit
% 3.81/0.91 % (3590487)Termination phase: Saturation
% 3.81/0.91 % (3590487)Time elapsed: 0.020 s
% 3.81/0.91 % (3590487)Peak memory usage: 12 MB
% 3.81/0.91 % (3590487)Instructions burned: 22 (million)
% 3.81/0.91 % (3590492)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=2560738593:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.81/0.91 % (3590494)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1763925658:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.81/0.91 % (3590494)Refutation not found, incomplete strategy
% 3.81/0.91 % (3590494)------------------------------
% 3.81/0.91 % (3590494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.81/0.91 % (3590494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/0.91 % (3590494)CaDiCaL version: 2.1.3
% 3.81/0.91 % (3590494)Termination reason: Refutation not found, incomplete strategy
% 3.81/0.91 % (3590494)Time elapsed: 0.001 s
% 3.81/0.91 % (3590494)Peak memory usage: 11 MB
% 3.81/0.91 % (3590494)Instructions burned: 1 (million)
% 3.81/0.91 % (3590494)------------------------------
% 3.81/0.91 % (3590494)------------------------------
% 3.81/0.91 % (3590495)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2041464443:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.81/0.91 % (3590498)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=412472368:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.81/0.91 % (3590475)Instruction limit reached!
% 3.81/0.91 % (3590475)------------------------------
% 3.81/0.91 % (3590475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.81/0.91 % (3590475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/0.91 % (3590475)CaDiCaL version: 2.1.3
% 3.81/0.91 % (3590475)Termination reason: Instruction limit
% 3.81/0.91 % (3590475)Termination phase: Saturation
% 3.81/0.91 % (3590475)Time elapsed: 0.133 s
% 3.81/0.91 % (3590475)Peak memory usage: 14 MB
% 3.81/0.91 % (3590475)Instructions burned: 318 (million)
% 3.81/0.91 % (3590495)Instruction limit reached!
% 3.81/0.91 % (3590495)------------------------------
% 3.81/0.91 % (3590495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.81/0.91 % (3590495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/0.91 % (3590495)CaDiCaL version: 2.1.3
% 3.81/0.91 % (3590495)Termination reason: Instruction limit
% 3.81/0.91 % (3590495)Termination phase: Saturation
% 3.81/1.00 % (3590495)Time elapsed: 0.030 s
% 3.81/1.00 % (3590495)Peak memory usage: 12 MB
% 3.81/1.00 % (3590495)Instructions burned: 34 (million)
% 3.81/1.00 % (3590492)Instruction limit reached!
% 3.81/1.00 % (3590492)------------------------------
% 3.81/1.00 % (3590492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.81/1.00 % (3590492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.00 % (3590492)CaDiCaL version: 2.1.3
% 3.81/1.00 % (3590492)Termination reason: Instruction limit
% 3.81/1.00 % (3590492)Termination phase: Saturation
% 3.81/1.00 % (3590492)Time elapsed: 0.051 s
% 3.81/1.00 % (3590492)Peak memory usage: 12 MB
% 3.81/1.00 % (3590492)Instructions burned: 66 (million)
% 3.81/1.00 % (3590501)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=3972003216:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.81/1.00 % (3590503)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.81/1.00 % (3590503)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=526335313:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.81/1.00 % (3590502)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1557168357:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.81/1.00 % (3590502)Refutation not found, incomplete strategy
% 3.81/1.00 % (3590502)------------------------------
% 3.81/1.00 % (3590502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.81/1.00 % (3590502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.00 % (3590502)CaDiCaL version: 2.1.3
% 3.81/1.00 % (3590502)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.00 % (3590502)Time elapsed: 0.002 s
% 3.81/1.00 % (3590502)Peak memory usage: 12 MB
% 3.81/1.00 % (3590502)Instructions burned: 1 (million)
% 3.81/1.00 % (3590502)------------------------------
% 3.81/1.00 % (3590502)------------------------------
% 3.81/1.00 % (3590501)Instruction limit reached!
% 3.81/1.00 % (3590501)------------------------------
% 3.81/1.00 % (3590501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.81/1.00 % (3590501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.00 % (3590501)CaDiCaL version: 2.1.3
% 3.81/1.00 % (3590501)Termination reason: Instruction limit
% 3.81/1.00 % (3590501)Termination phase: Saturation
% 3.81/1.00 % (3590501)Time elapsed: 0.030 s
% 3.81/1.00 % (3590501)Peak memory usage: 12 MB
% 3.81/1.00 % (3590501)Instructions burned: 34 (million)
% 3.81/1.00 % (3590488)Instruction limit reached!
% 3.81/1.00 % (3590488)------------------------------
% 3.81/1.00 % (3590488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.81/1.00 % (3590488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.00 % (3590488)CaDiCaL version: 2.1.3
% 3.81/1.00 % (3590488)Termination reason: Instruction limit
% 3.81/1.00 % (3590488)Termination phase: Saturation
% 3.81/1.00 % (3590488)Time elapsed: 0.138 s
% 3.81/1.00 % (3590488)Peak memory usage: 12 MB
% 3.81/1.00 % (3590488)Instructions burned: 201 (million)
% 3.81/1.00 % (3590507)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2001146758:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 3.81/1.00 % (3590507)Refutation not found, incomplete strategy
% 3.81/1.00 % (3590507)------------------------------
% 3.81/1.00 % (3590507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.81/1.00 % (3590507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.00 % (3590507)CaDiCaL version: 2.1.3
% 3.81/1.00 % (3590507)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.00 % (3590507)Time elapsed: 0.001 s
% 3.81/1.00 % (3590507)Peak memory usage: 12 MB
% 3.81/1.00 % (3590507)------------------------------
% 3.81/1.00 % (3590507)------------------------------
% 3.81/1.00 % (3590498)Instruction limit reached!
% 3.81/1.00 % (3590498)------------------------------
% 3.81/1.00 % (3590498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.81/1.00 % (3590498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.00 % (3590498)CaDiCaL version: 2.1.3
% 3.81/1.00 % (3590498)Termination reason: Instruction limit
% 3.81/1.00 % (3590498)Termination phase: Saturation
% 5.13/1.08 % (3590498)Time elapsed: 0.086 s
% 5.13/1.08 % (3590498)Peak memory usage: 12 MB
% 5.13/1.08 % (3590498)Instructions burned: 137 (million)
% 5.13/1.08 % (3590508)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=466797070:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 5.13/1.08 % (3590511)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2009065962:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.13/1.08 % (3590511)Refutation not found, incomplete strategy
% 5.13/1.08 % (3590511)------------------------------
% 5.13/1.08 % (3590511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.13/1.08 % (3590511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.08 % (3590511)CaDiCaL version: 2.1.3
% 5.13/1.08 % (3590511)Termination reason: Refutation not found, incomplete strategy
% 5.13/1.08 % (3590511)Time elapsed: 0.001 s
% 5.13/1.08 % (3590511)Peak memory usage: 11 MB
% 5.13/1.08 % (3590511)------------------------------
% 5.13/1.08 % (3590511)------------------------------
% 5.13/1.08 % (3590509)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3226349277:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 5.13/1.08 % (3590509)Refutation not found, incomplete strategy
% 5.13/1.08 % (3590509)------------------------------
% 5.13/1.08 % (3590509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.13/1.08 % (3590509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.08 % (3590509)CaDiCaL version: 2.1.3
% 5.13/1.08 % (3590509)Termination reason: Refutation not found, incomplete strategy
% 5.13/1.08 % (3590509)Time elapsed: 0.001 s
% 5.13/1.08 % (3590509)Peak memory usage: 11 MB
% 5.13/1.08 % (3590509)------------------------------
% 5.13/1.08 % (3590509)------------------------------
% 5.13/1.08 % (3590512)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3842546378:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.13/1.08 % (3590512)Refutation not found, incomplete strategy
% 5.13/1.08 % (3590512)------------------------------
% 5.13/1.08 % (3590512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.13/1.08 % (3590512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.08 % (3590512)CaDiCaL version: 2.1.3
% 5.13/1.08 % (3590512)Termination reason: Refutation not found, incomplete strategy
% 5.13/1.08 % (3590512)Time elapsed: 0.001 s
% 5.13/1.08 % (3590512)Peak memory usage: 12 MB
% 5.13/1.08 % (3590512)Instructions burned: 1 (million)
% 5.13/1.08 % (3590515)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2579072341:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.13/1.08 % (3590512)------------------------------
% 5.13/1.08 % (3590512)------------------------------
% 5.13/1.08 % (3590503)Instruction limit reached!
% 5.13/1.08 % (3590503)------------------------------
% 5.13/1.08 % (3590503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.13/1.08 % (3590515)Refutation not found, incomplete strategy
% 5.13/1.08 % (3590515)------------------------------
% 5.13/1.08 % (3590515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.13/1.08 % (3590503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.08 % (3590515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.08 % (3590503)CaDiCaL version: 2.1.3
% 5.13/1.08 % (3590515)CaDiCaL version: 2.1.3
% 5.13/1.08 % (3590503)Termination reason: Instruction limit
% 5.13/1.08 % (3590503)Termination phase: Saturation
% 5.13/1.08 % (3590515)Termination reason: Refutation not found, incomplete strategy
% 5.13/1.08 % (3590515)Time elapsed: 0.001 s
% 5.13/1.08 % (3590503)Time elapsed: 0.072 s
% 5.13/1.08 % (3590515)Peak memory usage: 11 MB
% 5.13/1.08 % (3590503)Peak memory usage: 12 MB
% 5.13/1.08 % (3590515)Instructions burned: 2 (million)
% 5.13/1.08 % (3590503)Instructions burned: 180 (million)
% 5.13/1.08 % (3590515)------------------------------
% 5.13/1.08 % (3590515)------------------------------
% 5.13/1.08 % (3590521)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1067619998:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 5.13/1.08 % (3590517)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=908437902:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 5.13/1.08 % (3590520)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=4148583951:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 5.87/1.21 % (3590522)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2753946849:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 5.87/1.21 % (3590520)Refutation not found, incomplete strategy
% 5.87/1.21 % (3590520)------------------------------
% 5.87/1.21 % (3590520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/1.21 % (3590520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.21 % (3590520)CaDiCaL version: 2.1.3
% 5.87/1.21 % (3590520)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.21 % (3590520)Time elapsed: 0.002 s
% 5.87/1.21 % (3590520)Peak memory usage: 12 MB
% 5.87/1.21 % (3590520)Instructions burned: 1 (million)
% 5.87/1.21 % (3590520)------------------------------
% 5.87/1.21 % (3590520)------------------------------
% 5.87/1.21 % (3590508)Instruction limit reached!
% 5.87/1.21 % (3590508)------------------------------
% 5.87/1.21 % (3590508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/1.21 % (3590508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.21 % (3590508)CaDiCaL version: 2.1.3
% 5.87/1.21 % (3590508)Termination reason: Instruction limit
% 5.87/1.21 % (3590508)Termination phase: Saturation
% 5.87/1.21 % (3590508)Time elapsed: 0.076 s
% 5.87/1.21 % (3590508)Peak memory usage: 12 MB
% 5.87/1.21 % (3590508)Instructions burned: 96 (million)
% 5.87/1.21 % (3590527)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=2945323177:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.87/1.21 % (3590517)Instruction limit reached!
% 5.87/1.21 % (3590517)------------------------------
% 5.87/1.21 % (3590517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/1.21 % (3590517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.21 % (3590517)CaDiCaL version: 2.1.3
% 5.87/1.21 % (3590517)Termination reason: Instruction limit
% 5.87/1.21 % (3590517)Termination phase: Saturation
% 5.87/1.21 % (3590517)Time elapsed: 0.039 s
% 5.87/1.21 % (3590517)Peak memory usage: 12 MB
% 5.87/1.21 % (3590517)Instructions burned: 44 (million)
% 5.87/1.21 % (3590528)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=1153116107: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)
% 5.87/1.21 % (3590530)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=192156027: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)
% 5.87/1.21 % (3590530)Refutation not found, incomplete strategy
% 5.87/1.21 % (3590530)------------------------------
% 5.87/1.21 % (3590530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/1.21 % (3590530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.21 % (3590530)CaDiCaL version: 2.1.3
% 5.87/1.21 % (3590530)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.21 % (3590530)Time elapsed: 0.002 s
% 5.87/1.21 % (3590530)Peak memory usage: 12 MB
% 5.87/1.21 % (3590530)Instructions burned: 1 (million)
% 5.87/1.21 % (3590530)------------------------------
% 5.87/1.21 % (3590530)------------------------------
% 5.87/1.21 % (3590522)Instruction limit reached!
% 5.87/1.21 % (3590522)------------------------------
% 5.87/1.21 % (3590522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/1.21 % (3590522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.21 % (3590522)CaDiCaL version: 2.1.3
% 5.87/1.21 % (3590522)Termination reason: Instruction limit
% 5.87/1.21 % (3590522)Termination phase: Saturation
% 5.87/1.21 % (3590522)Time elapsed: 0.070 s
% 5.87/1.21 % (3590522)Peak memory usage: 12 MB
% 5.87/1.21 % (3590522)Instructions burned: 95 (million)
% 5.87/1.21 % (3590527)Instruction limit reached!
% 5.87/1.21 % (3590527)------------------------------
% 5.87/1.21 % (3590527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/1.33 % (3590527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.33 % (3590527)CaDiCaL version: 2.1.3
% 6.52/1.33 % (3590527)Termination reason: Instruction limit
% 6.52/1.33 % (3590527)Termination phase: Saturation
% 6.52/1.33 % (3590527)Time elapsed: 0.055 s
% 6.52/1.33 % (3590527)Peak memory usage: 12 MB
% 6.52/1.33 % (3590527)Instructions burned: 65 (million)
% 6.52/1.33 % (3590533)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3435514843:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 6.52/1.33 % (3590533)Refutation not found, incomplete strategy
% 6.52/1.33 % (3590533)------------------------------
% 6.52/1.33 % (3590533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/1.33 % (3590533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.33 % (3590533)CaDiCaL version: 2.1.3
% 6.52/1.33 % (3590533)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.33 % (3590533)Time elapsed: 0.002 s
% 6.52/1.33 % (3590533)Peak memory usage: 11 MB
% 6.52/1.33 % (3590533)------------------------------
% 6.52/1.33 % (3590533)------------------------------
% 6.52/1.33 % (3590534)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=525588418:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 6.52/1.33 % (3590535)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=1525293182:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 6.52/1.33 % (3590528)Instruction limit reached!
% 6.52/1.33 % (3590528)------------------------------
% 6.52/1.33 % (3590528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/1.33 % (3590528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.33 % (3590528)CaDiCaL version: 2.1.3
% 6.52/1.33 % (3590528)Termination reason: Instruction limit
% 6.52/1.33 % (3590528)Termination phase: Saturation
% 6.52/1.33 % (3590528)Time elapsed: 0.076 s
% 6.52/1.33 % (3590528)Peak memory usage: 12 MB
% 6.52/1.33 % (3590528)Instructions burned: 105 (million)
% 6.52/1.33 % (3590537)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=240322027:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/91Mi)
% 6.52/1.33 % (3590521)Instruction limit reached!
% 6.52/1.33 % (3590521)------------------------------
% 6.52/1.33 % (3590521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/1.33 % (3590521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.33 % (3590521)CaDiCaL version: 2.1.3
% 6.52/1.33 % (3590521)Termination reason: Instruction limit
% 6.52/1.33 % (3590521)Termination phase: Saturation
% 6.52/1.33 % (3590521)Time elapsed: 0.147 s
% 6.52/1.33 % (3590521)Peak memory usage: 12 MB
% 6.52/1.33 % (3590521)Instructions burned: 451 (million)
% 6.52/1.33 % (3590535)Instruction limit reached!
% 6.52/1.33 % (3590535)------------------------------
% 6.52/1.33 % (3590535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/1.33 % (3590535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.33 % (3590535)CaDiCaL version: 2.1.3
% 6.52/1.33 % (3590535)Termination reason: Instruction limit
% 6.52/1.33 % (3590535)Termination phase: Saturation
% 6.52/1.33 % (3590535)Time elapsed: 0.031 s
% 6.52/1.33 % (3590535)Peak memory usage: 12 MB
% 6.52/1.33 % (3590535)Instructions burned: 34 (million)
% 6.52/1.33 % (3590540)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2209244823: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)
% 6.52/1.33 % (3590540)Refutation not found, incomplete strategy
% 6.52/1.33 % (3590540)------------------------------
% 6.52/1.33 % (3590540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/1.33 % (3590540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.33 % (3590540)CaDiCaL version: 2.1.3
% 6.52/1.33 % (3590540)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.33 % (3590540)Time elapsed: 0.001 s
% 6.52/1.33 % (3590540)Peak memory usage: 11 MB
% 6.52/1.33 % (3590540)------------------------------
% 6.52/1.33 % (3590540)------------------------------
% 6.52/1.33 % (3590543)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=3166910784:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 6.99/1.44 % (3590542)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3113817684:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 6.99/1.44 % (3590545)lrs+10_1_sil=128000:si=on:urr=on:random_seed=190514223:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 6.99/1.44 % (3590545)Refutation not found, incomplete strategy
% 6.99/1.44 % (3590545)------------------------------
% 6.99/1.44 % (3590545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.44 % (3590545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.44 % (3590545)CaDiCaL version: 2.1.3
% 6.99/1.44 % (3590545)Termination reason: Refutation not found, incomplete strategy
% 6.99/1.44 % (3590545)Time elapsed: 0.001 s
% 6.99/1.44 % (3590545)Peak memory usage: 12 MB
% 6.99/1.44 % (3590545)------------------------------
% 6.99/1.44 % (3590545)------------------------------
% 6.99/1.44 % (3590542)Instruction limit reached!
% 6.99/1.44 % (3590542)------------------------------
% 6.99/1.44 % (3590542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.44 % (3590542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.44 % (3590542)CaDiCaL version: 2.1.3
% 6.99/1.44 % (3590542)Termination reason: Instruction limit
% 6.99/1.44 % (3590542)Termination phase: Saturation
% 6.99/1.44 % (3590542)Time elapsed: 0.019 s
% 6.99/1.44 % (3590542)Peak memory usage: 12 MB
% 6.99/1.44 % (3590542)Instructions burned: 22 (million)
% 6.99/1.44 % (3590549)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.99/1.44 % (3590537)Instruction limit reached!
% 6.99/1.44 % (3590537)------------------------------
% 6.99/1.44 % (3590537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.44 % (3590537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.44 % (3590537)CaDiCaL version: 2.1.3
% 6.99/1.44 % (3590537)Termination reason: Instruction limit
% 6.99/1.44 % (3590537)Termination phase: Saturation
% 6.99/1.44 % (3590537)Time elapsed: 0.066 s
% 6.99/1.44 % (3590537)Peak memory usage: 12 MB
% 6.99/1.44 % (3590537)Instructions burned: 93 (million)
% 6.99/1.44 % (3590549)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=473789808:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/137Mi)
% 6.99/1.44 % (3590550)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=1648824263:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/340Mi)
% 6.99/1.44 % (3590552)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=777576801:i=227:sd=1:bd=all:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/227Mi)
% 6.99/1.44 % (3590552)Refutation not found, incomplete strategy
% 6.99/1.44 % (3590552)------------------------------
% 6.99/1.44 % (3590552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.44 % (3590552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.44 % (3590552)CaDiCaL version: 2.1.3
% 6.99/1.44 % (3590552)Termination reason: Refutation not found, incomplete strategy
% 6.99/1.44 % (3590552)Time elapsed: 0.001 s
% 6.99/1.44 % (3590552)Peak memory usage: 11 MB
% 6.99/1.44 % (3590552)------------------------------
% 6.99/1.44 % (3590552)------------------------------
% 6.99/1.44 % (3590555)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.99/1.44 % (3590555)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3148197286:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 6.99/1.44 % (3590549)Instruction limit reached!
% 6.99/1.44 % (3590549)------------------------------
% 6.99/1.44 % (3590549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.44 % (3590549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.44 % (3590549)CaDiCaL version: 2.1.3
% 6.99/1.44 % (3590549)Termination reason: Instruction limit
% 6.99/1.44 % (3590549)Termination phase: Saturation
% 6.99/1.49 % (3590549)Time elapsed: 0.105 s
% 6.99/1.49 % (3590549)Peak memory usage: 12 MB
% 6.99/1.49 % (3590549)Instructions burned: 137 (million)
% 6.99/1.49 % (3590543)Instruction limit reached!
% 6.99/1.49 % (3590543)------------------------------
% 6.99/1.49 % (3590543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.49 % (3590543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.49 % (3590543)CaDiCaL version: 2.1.3
% 6.99/1.49 % (3590543)Termination reason: Instruction limit
% 6.99/1.49 % (3590543)Termination phase: Saturation
% 6.99/1.49 % (3590543)Time elapsed: 0.138 s
% 6.99/1.49 % (3590543)Peak memory usage: 14 MB
% 6.99/1.49 % (3590543)Instructions burned: 343 (million)
% 6.99/1.49 % (3590557)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1326789669:i=116:ep=RSTC:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/116Mi)
% 6.99/1.49 % (3590478)Instruction limit reached!
% 6.99/1.49 % (3590478)------------------------------
% 6.99/1.49 % (3590478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.49 % (3590478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.49 % (3590478)CaDiCaL version: 2.1.3
% 6.99/1.49 % (3590478)Termination reason: Instruction limit
% 6.99/1.49 % (3590478)Termination phase: Saturation
% 6.99/1.49 % (3590478)Time elapsed: 0.580 s
% 6.99/1.49 % (3590478)Peak memory usage: 13 MB
% 6.99/1.49 % (3590478)Instructions burned: 854 (million)
% 6.99/1.49 % (3590558)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3385716337:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 6.99/1.49 % (3590558)Refutation not found, incomplete strategy
% 6.99/1.49 % (3590558)------------------------------
% 6.99/1.49 % (3590558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.49 % (3590558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.49 % (3590558)CaDiCaL version: 2.1.3
% 6.99/1.49 % (3590558)Termination reason: Refutation not found, incomplete strategy
% 6.99/1.49 % (3590558)Time elapsed: 0.002 s
% 6.99/1.49 % (3590558)Peak memory usage: 11 MB
% 6.99/1.49 % (3590558)Instructions burned: 1 (million)
% 6.99/1.49 % (3590558)------------------------------
% 6.99/1.49 % (3590558)------------------------------
% 6.99/1.49 % (3590560)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1784302157:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2990 on theBenchmark for (2990ds/270Mi)
% 6.99/1.49 % (3590562)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=699675090:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2990 on theBenchmark for (2990ds/9840Mi)
% 6.99/1.49 % (3590557)Instruction limit reached!
% 6.99/1.49 % (3590557)------------------------------
% 6.99/1.49 % (3590557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.49 % (3590557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.49 % (3590557)CaDiCaL version: 2.1.3
% 6.99/1.49 % (3590557)Termination reason: Instruction limit
% 6.99/1.49 % (3590557)Termination phase: Saturation
% 6.99/1.49 % (3590557)Time elapsed: 0.042 s
% 6.99/1.49 % (3590557)Peak memory usage: 12 MB
% 6.99/1.49 % (3590557)Instructions burned: 116 (million)
% 6.99/1.49 % (3590565)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3545855801:i=421:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/421Mi)
% 6.99/1.49 % (3590565)Refutation not found, incomplete strategy
% 6.99/1.49 % (3590565)------------------------------
% 6.99/1.49 % (3590565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.49 % (3590565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.49 % (3590565)CaDiCaL version: 2.1.3
% 6.99/1.49 % (3590565)Termination reason: Refutation not found, incomplete strategy
% 6.99/1.49 % (3590565)Time elapsed: 0.001 s
% 6.99/1.49 % (3590565)Peak memory usage: 12 MB
% 6.99/1.49 % (3590565)------------------------------
% 6.99/1.49 % (3590565)------------------------------
% 6.99/1.49 % (3590567)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
% 7.91/1.56 % (3590567)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=3485771830:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/270Mi)
% 7.91/1.56 % (3590457)Instruction limit reached!
% 7.91/1.56 % (3590457)------------------------------
% 7.91/1.56 % (3590457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.56 % (3590457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.56 % (3590457)CaDiCaL version: 2.1.3
% 7.91/1.56 % (3590457)Termination reason: Instruction limit
% 7.91/1.56 % (3590457)Termination phase: Saturation
% 7.91/1.56 % (3590457)Time elapsed: 0.767 s
% 7.91/1.56 % (3590457)Peak memory usage: 13 MB
% 7.91/1.56 % (3590457)Instructions burned: 1240 (million)
% 7.91/1.56 % (3590550)Instruction limit reached!
% 7.91/1.56 % (3590550)------------------------------
% 7.91/1.56 % (3590550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.56 % (3590550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.56 % (3590550)CaDiCaL version: 2.1.3
% 7.91/1.56 % (3590550)Termination reason: Instruction limit
% 7.91/1.56 % (3590550)Termination phase: Saturation
% 7.91/1.56 % (3590550)Time elapsed: 0.251 s
% 7.91/1.56 % (3590550)Peak memory usage: 13 MB
% 7.91/1.56 % (3590550)Instructions burned: 340 (million)
% 7.91/1.56 % (3590569)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2315212536:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 7.91/1.56 % (3590534)Instruction limit reached!
% 7.91/1.56 % (3590534)------------------------------
% 7.91/1.56 % (3590534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.56 % (3590534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.56 % (3590534)CaDiCaL version: 2.1.3
% 7.91/1.56 % (3590534)Termination reason: Instruction limit
% 7.91/1.56 % (3590534)Termination phase: Saturation
% 7.91/1.56 % (3590534)Time elapsed: 0.371 s
% 7.91/1.56 % (3590534)Peak memory usage: 13 MB
% 7.91/1.56 % (3590534)Instructions burned: 496 (million)
% 7.91/1.56 % (3590570)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.91/1.56 % (3590570)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
% 7.91/1.56 % (3590570)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=1049403001:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2989 on theBenchmark for (2989ds/1440Mi)
% 7.91/1.56 % (3590569)Instruction limit reached!
% 7.91/1.56 % (3590569)------------------------------
% 7.91/1.56 % (3590569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.56 % (3590569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.56 % (3590569)CaDiCaL version: 2.1.3
% 7.91/1.56 % (3590569)Termination reason: Instruction limit
% 7.91/1.56 % (3590569)Termination phase: Saturation
% 7.91/1.56 % (3590569)Time elapsed: 0.028 s
% 7.91/1.56 % (3590569)Peak memory usage: 12 MB
% 7.91/1.56 % (3590569)Instructions burned: 31 (million)
% 7.91/1.56 % (3590572)dis+10_2_sil=128000:si=on:random_seed=3412264272:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2989 on theBenchmark for (2989ds/339Mi)
% 7.91/1.56 % (3590572)Refutation not found, incomplete strategy
% 7.91/1.56 % (3590572)------------------------------
% 7.91/1.56 % (3590572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.56 % (3590572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.56 % (3590572)CaDiCaL version: 2.1.3
% 7.91/1.56 % (3590572)Termination reason: Refutation not found, incomplete strategy
% 7.91/1.56 % (3590572)Time elapsed: 0.001 s
% 7.91/1.56 % (3590572)Peak memory usage: 11 MB
% 7.91/1.56 % (3590572)------------------------------
% 7.91/1.56 % (3590572)------------------------------
% 7.91/1.56 % (3590567)Instruction limit reached!
% 7.91/1.56 % (3590567)------------------------------
% 7.91/1.56 % (3590567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.56 % (3590567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.56 % (3590567)CaDiCaL version: 2.1.3
% 8.54/1.72 % (3590567)Termination reason: Instruction limit
% 8.54/1.72 % (3590567)Termination phase: Saturation
% 8.54/1.72 % (3590567)Time elapsed: 0.109 s
% 8.54/1.72 % (3590567)Peak memory usage: 13 MB
% 8.54/1.72 % (3590567)Instructions burned: 271 (million)
% 8.54/1.72 % (3590574)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3998833649:i=111:add=on:fgj=on:rtra=on:fdi=1024_2989 on theBenchmark for (2989ds/111Mi)
% 8.54/1.72 % (3590577)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=2176108725:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/136Mi)
% 8.54/1.72 % (3590577)Refutation not found, incomplete strategy
% 8.54/1.72 % (3590577)------------------------------
% 8.54/1.72 % (3590577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/1.72 % (3590577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/1.72 % (3590577)CaDiCaL version: 2.1.3
% 8.54/1.72 % (3590577)Termination reason: Refutation not found, incomplete strategy
% 8.54/1.72 % (3590577)Time elapsed: 0.001 s
% 8.54/1.72 % (3590577)Peak memory usage: 11 MB
% 8.54/1.72 % (3590577)Instructions burned: 1 (million)
% 8.54/1.72 % (3590577)------------------------------
% 8.54/1.72 % (3590577)------------------------------
% 8.54/1.72 % (3590576)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=3772894804: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)
% 8.54/1.72 % (3590576)Refutation not found, incomplete strategy
% 8.54/1.72 % (3590576)------------------------------
% 8.54/1.72 % (3590576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/1.72 % (3590576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/1.72 % (3590576)CaDiCaL version: 2.1.3
% 8.54/1.72 % (3590576)Termination reason: Refutation not found, incomplete strategy
% 8.54/1.72 % (3590576)Time elapsed: 0.001 s
% 8.54/1.72 % (3590576)Peak memory usage: 11 MB
% 8.54/1.72 % (3590576)------------------------------
% 8.54/1.72 % (3590576)------------------------------
% 8.54/1.72 % (3590560)Instruction limit reached!
% 8.54/1.72 % (3590560)------------------------------
% 8.54/1.72 % (3590560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/1.72 % (3590560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/1.72 % (3590560)CaDiCaL version: 2.1.3
% 8.54/1.72 % (3590560)Termination reason: Instruction limit
% 8.54/1.72 % (3590560)Termination phase: Saturation
% 8.54/1.72 % (3590560)Time elapsed: 0.213 s
% 8.54/1.72 % (3590560)Peak memory usage: 12 MB
% 8.54/1.72 % (3590560)Instructions burned: 270 (million)
% 8.54/1.72 % (3590555)Instruction limit reached!
% 8.54/1.72 % (3590555)------------------------------
% 8.54/1.72 % (3590555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/1.72 % (3590555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/1.72 % (3590555)CaDiCaL version: 2.1.3
% 8.54/1.72 % (3590555)Termination reason: Instruction limit
% 8.54/1.72 % (3590555)Termination phase: Saturation
% 8.54/1.72 % (3590555)Time elapsed: 0.308 s
% 8.54/1.72 % (3590555)Peak memory usage: 12 MB
% 8.54/1.72 % (3590555)Instructions burned: 374 (million)
% 8.54/1.72 % (3590582)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=2568233502:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2988 on theBenchmark for (2988ds/1254Mi)
% 8.54/1.72 % (3590582)Refutation not found, incomplete strategy
% 8.54/1.72 % (3590582)------------------------------
% 8.54/1.72 % (3590582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/1.72 % (3590582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/1.72 % (3590582)CaDiCaL version: 2.1.3
% 8.54/1.72 % (3590582)Termination reason: Refutation not found, incomplete strategy
% 8.54/1.72 % (3590582)Time elapsed: 0.003 s
% 8.54/1.72 % (3590582)Peak memory usage: 11 MB
% 8.54/1.72 % (3590582)Instructions burned: 3 (million)
% 8.54/1.72 % (3590582)------------------------------
% 8.54/1.72 % (3590582)------------------------------
% 8.54/1.72 % (3590581)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3691189997:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/232Mi)
% 9.02/1.85 % (3590581)Refutation not found, incomplete strategy
% 9.02/1.85 % (3590581)------------------------------
% 9.02/1.85 % (3590581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.02/1.85 % (3590581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.85 % (3590581)CaDiCaL version: 2.1.3
% 9.02/1.85 % (3590581)Termination reason: Refutation not found, incomplete strategy
% 9.02/1.85 % (3590581)Time elapsed: 0.001 s
% 9.02/1.85 % (3590581)Peak memory usage: 11 MB
% 9.02/1.85 % (3590583)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 9.02/1.85 % (3590581)------------------------------
% 9.02/1.85 % (3590581)------------------------------
% 9.02/1.85 % (3590583)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=3864307390:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2988 on theBenchmark for (2988ds/281Mi)
% 9.02/1.85 % (3590584)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=271026094:i=619:add=on:rtra=on_2988 on theBenchmark for (2988ds/619Mi)
% 9.02/1.85 % (3590584)Refutation not found, incomplete strategy
% 9.02/1.85 % (3590584)------------------------------
% 9.02/1.85 % (3590584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.02/1.85 % (3590584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.85 % (3590584)CaDiCaL version: 2.1.3
% 9.02/1.85 % (3590584)Termination reason: Refutation not found, incomplete strategy
% 9.02/1.85 % (3590584)Time elapsed: 0.003 s
% 9.02/1.85 % (3590584)Peak memory usage: 12 MB
% 9.02/1.85 % (3590584)Instructions burned: 3 (million)
% 9.02/1.85 % (3590584)------------------------------
% 9.02/1.85 % (3590584)------------------------------
% 9.02/1.85 % (3590587)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=3719712242:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/865Mi)
% 9.02/1.85 % (3590588)lrs+10_1_sil=128000:si=on:urr=on:random_seed=916035253:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/212Mi)
% 9.02/1.85 % (3590588)Refutation not found, incomplete strategy
% 9.02/1.85 % (3590588)------------------------------
% 9.02/1.85 % (3590588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.02/1.85 % (3590588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.85 % (3590588)CaDiCaL version: 2.1.3
% 9.02/1.85 % (3590588)Termination reason: Refutation not found, incomplete strategy
% 9.02/1.85 % (3590588)Time elapsed: 0.001 s
% 9.02/1.85 % (3590588)Peak memory usage: 11 MB
% 9.02/1.85 % (3590588)------------------------------
% 9.02/1.85 % (3590588)------------------------------
% 9.02/1.85 % (3590574)Instruction limit reached!
% 9.02/1.85 % (3590574)------------------------------
% 9.02/1.85 % (3590574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.02/1.85 % (3590574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.85 % (3590574)CaDiCaL version: 2.1.3
% 9.02/1.85 % (3590574)Termination reason: Instruction limit
% 9.02/1.85 % (3590574)Termination phase: Saturation
% 9.02/1.85 % (3590574)Time elapsed: 0.089 s
% 9.02/1.85 % (3590574)Peak memory usage: 12 MB
% 9.02/1.85 % (3590574)Instructions burned: 111 (million)
% 9.02/1.85 % (3590591)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2644837986:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 9.02/1.85 % (3590591)Refutation not found, incomplete strategy
% 9.02/1.85 % (3590591)------------------------------
% 9.02/1.85 % (3590591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.02/1.85 % (3590591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.85 % (3590591)CaDiCaL version: 2.1.3
% 9.02/1.85 % (3590591)Termination reason: Refutation not found, incomplete strategy
% 9.02/1.85 % (3590591)Time elapsed: 0.001 s
% 9.02/1.85 % (3590591)Peak memory usage: 11 MB
% 9.02/1.85 % (3590591)------------------------------
% 9.02/1.85 % (3590591)------------------------------
% 9.02/1.85 % (3590594)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1739455099:st=1.5:i=346:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/346Mi)
% 9.02/1.85 % (3590594)Refutation not found, incomplete strategy
% 12.81/2.19 % (3590594)------------------------------
% 12.81/2.19 % (3590594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.81/2.19 % (3590594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.19 % (3590594)CaDiCaL version: 2.1.3
% 12.81/2.19 % (3590594)Termination reason: Refutation not found, incomplete strategy
% 12.81/2.19 % (3590594)Time elapsed: 0.002 s
% 12.81/2.19 % (3590594)Peak memory usage: 11 MB
% 12.81/2.19 % (3590594)Instructions burned: 1 (million)
% 12.81/2.19 % (3590594)------------------------------
% 12.81/2.19 % (3590594)------------------------------
% 12.81/2.19 % (3590595)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2389239770:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/152Mi)
% 12.81/2.19 % (3590597)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1497118296:i=75:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/75Mi)
% 12.81/2.19 % (3590600)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2785297389:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/387Mi)
% 12.81/2.19 % (3590600)Refutation not found, incomplete strategy
% 12.81/2.19 % (3590600)------------------------------
% 12.81/2.19 % (3590600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.81/2.19 % (3590600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.19 % (3590600)CaDiCaL version: 2.1.3
% 12.81/2.19 % (3590600)Termination reason: Refutation not found, incomplete strategy
% 12.81/2.19 % (3590600)Time elapsed: 0.002 s
% 12.81/2.19 % (3590600)Peak memory usage: 11 MB
% 12.81/2.19 % (3590600)Instructions burned: 1 (million)
% 12.81/2.19 % (3590600)------------------------------
% 12.81/2.19 % (3590600)------------------------------
% 12.81/2.19 % (3590603)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=3168384154:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2987 on theBenchmark for (2987ds/148Mi)
% 12.81/2.19 % (3590597)Instruction limit reached!
% 12.81/2.19 % (3590597)------------------------------
% 12.81/2.19 % (3590597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.81/2.19 % (3590597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.19 % (3590597)CaDiCaL version: 2.1.3
% 12.81/2.19 % (3590597)Termination reason: Instruction limit
% 12.81/2.19 % (3590597)Termination phase: Saturation
% 12.81/2.19 % (3590597)Time elapsed: 0.059 s
% 12.81/2.19 % (3590597)Peak memory usage: 12 MB
% 12.81/2.19 % (3590597)Instructions burned: 76 (million)
% 12.81/2.19 % (3590605)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1259889868:i=161:piset=and:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/161Mi)
% 12.81/2.19 % (3590595)Instruction limit reached!
% 12.81/2.19 % (3590595)------------------------------
% 12.81/2.19 % (3590595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.81/2.19 % (3590595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.19 % (3590595)CaDiCaL version: 2.1.3
% 12.81/2.19 % (3590595)Termination reason: Instruction limit
% 12.81/2.19 % (3590595)Termination phase: Saturation
% 12.81/2.19 % (3590595)Time elapsed: 0.123 s
% 12.81/2.19 % (3590595)Peak memory usage: 12 MB
% 12.81/2.19 % (3590595)Instructions burned: 152 (million)
% 12.81/2.19 % (3590603)Instruction limit reached!
% 12.81/2.19 % (3590603)------------------------------
% 12.81/2.19 % (3590603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.81/2.19 % (3590603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.19 % (3590603)CaDiCaL version: 2.1.3
% 12.81/2.19 % (3590603)Termination reason: Instruction limit
% 12.81/2.19 % (3590603)Termination phase: Saturation
% 12.81/2.19 % (3590603)Time elapsed: 0.069 s
% 12.81/2.19 % (3590603)Peak memory usage: 12 MB
% 12.81/2.19 % (3590603)Instructions burned: 149 (million)
% 12.81/2.19 % (3590583)Instruction limit reached!
% 12.81/2.19 % (3590583)------------------------------
% 12.81/2.19 % (3590583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.81/2.19 % (3590583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.19 % (3590583)CaDiCaL version: 2.1.3
% 12.81/2.19 % (3590583)Termination reason: Instruction limit
% 12.81/2.19 % (3590583)Termination phase: Saturation
% 12.81/2.19 % (3590583)Time elapsed: 0.220 s
% 12.81/2.19 % (3590583)Peak memory usage: 13 MB
% 14.02/2.42 % (3590583)Instructions burned: 281 (million)
% 14.02/2.42 % (3590608)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=3821323932:i=136:add=on:ins=4:rtra=on:sup=off_2986 on theBenchmark for (2986ds/136Mi)
% 14.02/2.42 % (3590607)lrs+10_1_sil=128000:si=on:random_seed=112393616:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/888Mi)
% 14.02/2.42 % (3590607)Refutation not found, incomplete strategy
% 14.02/2.42 % (3590607)------------------------------
% 14.02/2.42 % (3590607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.42 % (3590607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.42 % (3590607)CaDiCaL version: 2.1.3
% 14.02/2.42 % (3590607)Termination reason: Refutation not found, incomplete strategy
% 14.02/2.42 % (3590607)Time elapsed: 0.001 s
% 14.02/2.42 % (3590607)Peak memory usage: 12 MB
% 14.02/2.42 % (3590607)------------------------------
% 14.02/2.42 % (3590607)------------------------------
% 14.02/2.42 % (3590609)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=2006604889:i=88:s2at=3:nm=2:rtra=on:rawr=on_2985 on theBenchmark for (2985ds/88Mi)
% 14.02/2.42 % (3590612)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1787003642:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2985 on theBenchmark for (2985ds/93Mi)
% 14.02/2.42 % (3590609)Instruction limit reached!
% 14.02/2.42 % (3590609)------------------------------
% 14.02/2.42 % (3590609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.42 % (3590609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.42 % (3590609)CaDiCaL version: 2.1.3
% 14.02/2.42 % (3590609)Termination reason: Instruction limit
% 14.02/2.42 % (3590609)Termination phase: Saturation
% 14.02/2.42 % (3590609)Time elapsed: 0.042 s
% 14.02/2.42 % (3590609)Peak memory usage: 13 MB
% 14.02/2.42 % (3590609)Instructions burned: 89 (million)
% 14.02/2.42 % (3590605)Instruction limit reached!
% 14.02/2.42 % (3590605)------------------------------
% 14.02/2.42 % (3590605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.42 % (3590605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.42 % (3590605)CaDiCaL version: 2.1.3
% 14.02/2.42 % (3590605)Termination reason: Instruction limit
% 14.02/2.42 % (3590605)Termination phase: Saturation
% 14.02/2.42 % (3590605)Time elapsed: 0.106 s
% 14.02/2.42 % (3590605)Peak memory usage: 12 MB
% 14.02/2.42 % (3590605)Instructions burned: 161 (million)
% 14.02/2.42 % (3590616)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1416391717:s2a=on:i=240:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/240Mi)
% 14.02/2.42 % (3590615)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1760300573:i=2186:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/2186Mi)
% 14.02/2.42 % (3590608)Instruction limit reached!
% 14.02/2.42 % (3590608)------------------------------
% 14.02/2.42 % (3590608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.42 % (3590608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.42 % (3590608)CaDiCaL version: 2.1.3
% 14.02/2.42 % (3590608)Termination reason: Instruction limit
% 14.02/2.42 % (3590608)Termination phase: Saturation
% 14.02/2.42 % (3590608)Time elapsed: 0.094 s
% 14.02/2.42 % (3590608)Peak memory usage: 12 MB
% 14.02/2.42 % (3590608)Instructions burned: 136 (million)
% 14.02/2.42 % (3590612)Instruction limit reached!
% 14.02/2.42 % (3590612)------------------------------
% 14.02/2.42 % (3590612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.42 % (3590612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.42 % (3590612)CaDiCaL version: 2.1.3
% 14.02/2.42 % (3590612)Termination reason: Instruction limit
% 14.02/2.42 % (3590612)Termination phase: Saturation
% 14.02/2.42 % (3590612)Time elapsed: 0.076 s
% 14.02/2.42 % (3590612)Peak memory usage: 12 MB
% 14.02/2.42 % (3590612)Instructions burned: 93 (million)
% 14.02/2.42 % (3590619)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=788142951:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/805Mi)
% 14.02/2.42 % (3590620)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 14.87/2.63 % (3590620)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=1888205450:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2984 on theBenchmark for (2984ds/391Mi)
% 14.87/2.63 % (3590620)Refutation not found, incomplete strategy
% 14.87/2.63 % (3590620)------------------------------
% 14.87/2.63 % (3590620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.87/2.63 % (3590620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/2.63 % (3590620)CaDiCaL version: 2.1.3
% 14.87/2.63 % (3590620)Termination reason: Refutation not found, incomplete strategy
% 14.87/2.63 % (3590620)Time elapsed: 0.001 s
% 14.87/2.63 % (3590620)Peak memory usage: 11 MB
% 14.87/2.63 % (3590620)Instructions burned: 2 (million)
% 14.87/2.63 % (3590620)------------------------------
% 14.87/2.63 % (3590620)------------------------------
% 14.87/2.63 % (3590623)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2981842454:i=355:av=off:fsr=off:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/355Mi)
% 14.87/2.63 % (3590616)Instruction limit reached!
% 14.87/2.63 % (3590616)------------------------------
% 14.87/2.63 % (3590616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.87/2.63 % (3590616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/2.63 % (3590616)CaDiCaL version: 2.1.3
% 14.87/2.63 % (3590616)Termination reason: Instruction limit
% 14.87/2.63 % (3590616)Termination phase: Saturation
% 14.87/2.63 % (3590616)Time elapsed: 0.154 s
% 14.87/2.63 % (3590616)Peak memory usage: 12 MB
% 14.87/2.63 % (3590616)Instructions burned: 240 (million)
% 14.87/2.63 % (3590625)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=579757257:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/314Mi)
% 14.87/2.63 % (3590625)Refutation not found, incomplete strategy
% 14.87/2.63 % (3590625)------------------------------
% 14.87/2.63 % (3590625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.87/2.63 % (3590625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/2.63 % (3590625)CaDiCaL version: 2.1.3
% 14.87/2.63 % (3590625)Termination reason: Refutation not found, incomplete strategy
% 14.87/2.63 % (3590625)Time elapsed: 0.001 s
% 14.87/2.63 % (3590625)Peak memory usage: 12 MB
% 14.87/2.63 % (3590625)------------------------------
% 14.87/2.63 % (3590625)------------------------------
% 14.87/2.63 % (3590627)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2299466841:s2a=on:i=251:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/251Mi)
% 14.87/2.63 % (3590623)Instruction limit reached!
% 14.87/2.63 % (3590623)------------------------------
% 14.87/2.63 % (3590623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.87/2.63 % (3590623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/2.63 % (3590623)CaDiCaL version: 2.1.3
% 14.87/2.63 % (3590623)Termination reason: Instruction limit
% 14.87/2.63 % (3590623)Termination phase: Saturation
% 14.87/2.63 % (3590623)Time elapsed: 0.220 s
% 14.87/2.63 % (3590623)Peak memory usage: 12 MB
% 14.87/2.63 % (3590623)Instructions burned: 355 (million)
% 14.87/2.63 % (3590629)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=1488841482:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2982 on theBenchmark for (2982ds/2470Mi)
% 14.87/2.63 % (3590587)Instruction limit reached!
% 14.87/2.63 % (3590587)------------------------------
% 14.87/2.63 % (3590587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.87/2.63 % (3590587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/2.63 % (3590587)CaDiCaL version: 2.1.3
% 14.87/2.63 % (3590587)Termination reason: Instruction limit
% 14.87/2.63 % (3590587)Termination phase: Saturation
% 14.87/2.63 % (3590587)Time elapsed: 0.644 s
% 14.87/2.63 % (3590587)Peak memory usage: 15 MB
% 14.87/2.63 % (3590587)Instructions burned: 865 (million)
% 14.87/2.63 % (3590631)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3262115362:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2981 on theBenchmark for (2981ds/673Mi)
% 15.99/2.73 % (3590627)Instruction limit reached!
% 15.99/2.73 % (3590627)------------------------------
% 15.99/2.73 % (3590627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.99/2.73 % (3590627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/2.73 % (3590627)CaDiCaL version: 2.1.3
% 15.99/2.73 % (3590627)Termination reason: Instruction limit
% 15.99/2.73 % (3590627)Termination phase: Saturation
% 15.99/2.73 % (3590627)Time elapsed: 0.199 s
% 15.99/2.73 % (3590627)Peak memory usage: 12 MB
% 15.99/2.73 % (3590627)Instructions burned: 251 (million)
% 15.99/2.73 % (3590633)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1818323618:i=116:ep=RSTC:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/116Mi)
% 15.99/2.73 % (3590570)Instruction limit reached!
% 15.99/2.73 % (3590570)------------------------------
% 15.99/2.73 % (3590570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.99/2.73 % (3590570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/2.73 % (3590570)CaDiCaL version: 2.1.3
% 15.99/2.73 % (3590570)Termination reason: Instruction limit
% 15.99/2.73 % (3590570)Termination phase: Saturation
% 15.99/2.73 % (3590570)Time elapsed: 0.855 s
% 15.99/2.73 % (3590570)Peak memory usage: 14 MB
% 15.99/2.73 % (3590570)Instructions burned: 1442 (million)
% 15.99/2.73 % (3590635)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3549028918: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)
% 15.99/2.73 % (3590633)Instruction limit reached!
% 15.99/2.73 % (3590633)------------------------------
% 15.99/2.73 % (3590633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.99/2.73 % (3590633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/2.73 % (3590633)CaDiCaL version: 2.1.3
% 15.99/2.73 % (3590633)Termination reason: Instruction limit
% 15.99/2.73 % (3590633)Termination phase: Saturation
% 15.99/2.73 % (3590633)Time elapsed: 0.060 s
% 15.99/2.73 % (3590633)Peak memory usage: 12 MB
% 15.99/2.73 % (3590633)Instructions burned: 116 (million)
% 15.99/2.73 % (3590637)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=327342972:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2980 on theBenchmark for (2980ds/30Mi)
% 15.99/2.73 % (3590637)Instruction limit reached!
% 15.99/2.73 % (3590637)------------------------------
% 15.99/2.73 % (3590637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.99/2.73 % (3590637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/2.73 % (3590637)CaDiCaL version: 2.1.3
% 15.99/2.73 % (3590637)Termination reason: Instruction limit
% 15.99/2.73 % (3590637)Termination phase: Saturation
% 15.99/2.73 % (3590637)Time elapsed: 0.023 s
% 15.99/2.73 % (3590637)Peak memory usage: 12 MB
% 15.99/2.73 % (3590637)Instructions burned: 30 (million)
% 15.99/2.73 % (3590639)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 15.99/2.73 % (3590639)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3274977476:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2979 on theBenchmark for (2979ds/39Mi)
% 15.99/2.73 % (3590635)Instruction limit reached!
% 15.99/2.73 % (3590635)------------------------------
% 15.99/2.73 % (3590635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.99/2.73 % (3590635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/2.73 % (3590635)CaDiCaL version: 2.1.3
% 15.99/2.73 % (3590635)Termination reason: Instruction limit
% 15.99/2.73 % (3590635)Termination phase: Saturation
% 15.99/2.73 % (3590635)Time elapsed: 0.128 s
% 15.99/2.73 % (3590635)Peak memory usage: 13 MB
% 15.99/2.73 % (3590635)Instructions burned: 271 (million)
% 15.99/2.73 % (3590639)Instruction limit reached!
% 15.99/2.73 % (3590639)------------------------------
% 15.99/2.73 % (3590639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.99/2.73 % (3590639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/2.73 % (3590639)CaDiCaL version: 2.1.3
% 15.99/2.73 % (3590639)Termination reason: Instruction limit
% 15.99/2.73 % (3590639)Termination phase: Saturation
% 15.99/2.73 % (3590639)Time elapsed: 0.034 s
% 15.99/2.73 % (3590639)Peak memory usage: 12 MB
% 19.21/3.07 % (3590639)Instructions burned: 40 (million)
% 19.21/3.07 % (3590619)Instruction limit reached!
% 19.21/3.07 % (3590619)------------------------------
% 19.21/3.07 % (3590619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.21/3.07 % (3590619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.21/3.07 % (3590619)CaDiCaL version: 2.1.3
% 19.21/3.07 % (3590619)Termination reason: Instruction limit
% 19.21/3.07 % (3590619)Termination phase: Saturation
% 19.21/3.07 % (3590619)Time elapsed: 0.580 s
% 19.21/3.07 % (3590619)Peak memory usage: 13 MB
% 19.21/3.07 % (3590619)Instructions burned: 806 (million)
% 19.21/3.07 % (3590641)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2536142498:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2978 on theBenchmark for (2978ds/365Mi)
% 19.21/3.07 % (3590642)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=549969681:i=158:av=off:rtra=on_2978 on theBenchmark for (2978ds/158Mi)
% 19.21/3.07 % (3590643)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
% 19.21/3.07 % (3590643)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=2108991694:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/252Mi)
% 19.21/3.07 % (3590642)Instruction limit reached!
% 19.21/3.07 % (3590642)------------------------------
% 19.21/3.07 % (3590642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.21/3.07 % (3590642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.21/3.07 % (3590642)CaDiCaL version: 2.1.3
% 19.21/3.07 % (3590642)Termination reason: Instruction limit
% 19.21/3.07 % (3590642)Termination phase: Saturation
% 19.21/3.07 % (3590642)Time elapsed: 0.105 s
% 19.21/3.07 % (3590642)Peak memory usage: 12 MB
% 19.21/3.07 % (3590642)Instructions burned: 159 (million)
% 19.21/3.07 % (3590647)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=867698936:i=213:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/213Mi)
% 19.21/3.07 % (3590647)Refutation not found, incomplete strategy
% 19.21/3.07 % (3590647)------------------------------
% 19.21/3.07 % (3590647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.21/3.07 % (3590647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.21/3.07 % (3590647)CaDiCaL version: 2.1.3
% 19.21/3.07 % (3590647)Termination reason: Refutation not found, incomplete strategy
% 19.21/3.07 % (3590647)Time elapsed: 0.001 s
% 19.21/3.07 % (3590647)Peak memory usage: 11 MB
% 19.21/3.07 % (3590647)------------------------------
% 19.21/3.07 % (3590647)------------------------------
% 19.21/3.07 % (3590649)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=1055101801:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/160Mi)
% 19.21/3.07 % (3590649)Refutation not found, incomplete strategy
% 19.21/3.07 % (3590649)------------------------------
% 19.21/3.07 % (3590649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.21/3.07 % (3590649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.21/3.07 % (3590649)CaDiCaL version: 2.1.3
% 19.21/3.07 % (3590649)Termination reason: Refutation not found, incomplete strategy
% 19.21/3.07 % (3590649)Time elapsed: 0.001 s
% 19.21/3.07 % (3590649)Peak memory usage: 11 MB
% 19.21/3.07 % (3590649)Instructions burned: 1 (million)
% 19.21/3.07 % (3590649)------------------------------
% 19.21/3.07 % (3590649)------------------------------
% 19.21/3.07 % (3590631)Instruction limit reached!
% 19.21/3.07 % (3590631)------------------------------
% 19.21/3.07 % (3590631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.21/3.07 % (3590631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.21/3.07 % (3590631)CaDiCaL version: 2.1.3
% 19.21/3.07 % (3590631)Termination reason: Instruction limit
% 19.21/3.07 % (3590631)Termination phase: Saturation
% 19.21/3.07 % (3590631)Time elapsed: 0.421 s
% 19.21/3.07 % (3590631)Peak memory usage: 13 MB
% 19.21/3.07 % (3590631)Instructions burned: 674 (million)
% 19.21/3.07 % (3590643)Instruction limit reached!
% 19.21/3.07 % (3590643)------------------------------
% 19.21/3.07 % (3590643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.19 % (3590643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.19 % (3590643)CaDiCaL version: 2.1.3
% 19.82/3.19 % (3590643)Termination reason: Instruction limit
% 19.82/3.19 % (3590643)Termination phase: Saturation
% 19.82/3.19 % (3590643)Time elapsed: 0.167 s
% 19.82/3.19 % (3590643)Peak memory usage: 12 MB
% 19.82/3.19 % (3590643)Instructions burned: 254 (million)
% 19.82/3.19 % (3590652)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 19.82/3.19 % (3590652)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=3195268510:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2977 on theBenchmark for (2977ds/237Mi)
% 19.82/3.19 % (3590651)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=997025067:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/763Mi)
% 19.82/3.19 % (3590652)Refutation not found, incomplete strategy
% 19.82/3.19 % (3590652)------------------------------
% 19.82/3.19 % (3590652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.19 % (3590652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.19 % (3590652)CaDiCaL version: 2.1.3
% 19.82/3.19 % (3590652)Termination reason: Refutation not found, incomplete strategy
% 19.82/3.19 % (3590652)Time elapsed: 0.001 s
% 19.82/3.19 % (3590652)Peak memory usage: 11 MB
% 19.82/3.19 % (3590652)------------------------------
% 19.82/3.19 % (3590652)------------------------------
% 19.82/3.19 % (3590641)Instruction limit reached!
% 19.82/3.19 % (3590641)------------------------------
% 19.82/3.19 % (3590641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.19 % (3590641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.19 % (3590641)CaDiCaL version: 2.1.3
% 19.82/3.19 % (3590641)Termination reason: Instruction limit
% 19.82/3.19 % (3590641)Termination phase: Saturation
% 19.82/3.19 % (3590641)Time elapsed: 0.201 s
% 19.82/3.19 % (3590641)Peak memory usage: 13 MB
% 19.82/3.19 % (3590641)Instructions burned: 366 (million)
% 19.82/3.19 % (3590656)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=3267398745:i=300:piset=and:nm=32:rtra=on_2976 on theBenchmark for (2976ds/300Mi)
% 19.82/3.19 % (3590653)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2465547546:s2a=on:i=386:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/386Mi)
% 19.82/3.19 % (3590657)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=1874216742:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/567Mi)
% 19.82/3.19 % (3590657)Refutation not found, incomplete strategy
% 19.82/3.19 % (3590657)------------------------------
% 19.82/3.19 % (3590657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.19 % (3590657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.19 % (3590657)CaDiCaL version: 2.1.3
% 19.82/3.19 % (3590657)Termination reason: Refutation not found, incomplete strategy
% 19.82/3.19 % (3590657)Time elapsed: 0.002 s
% 19.82/3.19 % (3590657)Peak memory usage: 11 MB
% 19.82/3.19 % (3590657)Instructions burned: 2 (million)
% 19.82/3.19 % (3590657)------------------------------
% 19.82/3.19 % (3590657)------------------------------
% 19.82/3.19 % (3590661)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=4154597546:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2976 on theBenchmark for (2976ds/379Mi)
% 19.82/3.19 % (3590661)Refutation not found, incomplete strategy
% 19.82/3.19 % (3590661)------------------------------
% 19.82/3.19 % (3590661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.19 % (3590661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.19 % (3590661)CaDiCaL version: 2.1.3
% 19.82/3.19 % (3590661)Termination reason: Refutation not found, incomplete strategy
% 19.82/3.19 % (3590661)Time elapsed: 0.001 s
% 19.82/3.19 % (3590661)Peak memory usage: 11 MB
% 19.82/3.19 % (3590661)------------------------------
% 19.82/3.19 % (3590661)------------------------------
% 19.82/3.19 % (3590663)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3009586120: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)
% 20.66/3.31 % (3590656)Instruction limit reached!
% 20.66/3.31 % (3590656)------------------------------
% 20.66/3.31 % (3590656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.66/3.31 % (3590656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.66/3.31 % (3590656)CaDiCaL version: 2.1.3
% 20.66/3.31 % (3590656)Termination reason: Instruction limit
% 20.66/3.31 % (3590656)Termination phase: Saturation
% 20.66/3.31 % (3590656)Time elapsed: 0.212 s
% 20.66/3.31 % (3590656)Peak memory usage: 12 MB
% 20.66/3.31 % (3590656)Instructions burned: 300 (million)
% 20.66/3.31 % (3590665)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=260914900:i=478:bd=all:rtra=on_2974 on theBenchmark for (2974ds/478Mi)
% 20.66/3.31 % (3590665)Refutation not found, incomplete strategy
% 20.66/3.31 % (3590665)------------------------------
% 20.66/3.31 % (3590665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.66/3.31 % (3590665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.66/3.31 % (3590665)CaDiCaL version: 2.1.3
% 20.66/3.31 % (3590665)Termination reason: Refutation not found, incomplete strategy
% 20.66/3.31 % (3590665)Time elapsed: 0.002 s
% 20.66/3.31 % (3590665)Peak memory usage: 12 MB
% 20.66/3.31 % (3590665)Instructions burned: 1 (million)
% 20.66/3.31 % (3590665)------------------------------
% 20.66/3.31 % (3590665)------------------------------
% 20.66/3.31 % (3590667)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1641262823:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2974 on theBenchmark for (2974ds/445Mi)
% 20.66/3.31 % (3590653)Instruction limit reached!
% 20.66/3.31 % (3590653)------------------------------
% 20.66/3.31 % (3590653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.66/3.31 % (3590653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.66/3.31 % (3590653)CaDiCaL version: 2.1.3
% 20.66/3.31 % (3590653)Termination reason: Instruction limit
% 20.66/3.31 % (3590653)Termination phase: Saturation
% 20.66/3.31 % (3590653)Time elapsed: 0.305 s
% 20.66/3.31 % (3590653)Peak memory usage: 12 MB
% 20.66/3.31 % (3590653)Instructions burned: 387 (million)
% 20.66/3.31 % (3590669)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=905592433:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2973 on theBenchmark for (2973ds/71Mi)
% 20.66/3.31 % (3590663)Instruction limit reached!
% 20.66/3.31 % (3590663)------------------------------
% 20.66/3.31 % (3590663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.66/3.31 % (3590663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.66/3.31 % (3590663)CaDiCaL version: 2.1.3
% 20.66/3.31 % (3590663)Termination reason: Instruction limit
% 20.66/3.31 % (3590663)Termination phase: Saturation
% 20.66/3.31 % (3590663)Time elapsed: 0.301 s
% 20.66/3.31 % (3590663)Peak memory usage: 13 MB
% 20.66/3.31 % (3590663)Instructions burned: 430 (million)
% 20.66/3.31 % (3590669)Instruction limit reached!
% 20.66/3.31 % (3590669)------------------------------
% 20.66/3.31 % (3590669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.66/3.31 % (3590669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.66/3.31 % (3590669)CaDiCaL version: 2.1.3
% 20.66/3.31 % (3590669)Termination reason: Instruction limit
% 20.66/3.31 % (3590669)Termination phase: Saturation
% 20.66/3.31 % (3590669)Time elapsed: 0.061 s
% 20.66/3.31 % (3590669)Peak memory usage: 12 MB
% 20.66/3.31 % (3590669)Instructions burned: 71 (million)
% 20.66/3.31 % (3590671)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3652126040:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/302Mi)
% 20.66/3.31 % (3590671)Refutation not found, incomplete strategy
% 20.66/3.31 % (3590671)------------------------------
% 20.66/3.31 % (3590671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.66/3.31 % (3590671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.66/3.31 % (3590671)CaDiCaL version: 2.1.3
% 20.66/3.31 % (3590671)Termination reason: Refutation not found, incomplete strategy
% 20.66/3.31 % (3590671)Time elapsed: 0.001 s
% 20.66/3.31 % (3590671)Peak memory usage: 11 MB
% 20.66/3.31 % (3590671)------------------------------
% 20.66/3.31 % (3590671)------------------------------
% 20.66/3.31 % (3590651)Instruction limit reached!
% 20.66/3.31 % (3590651)------------------------------
% 20.66/3.31 % (3590651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.79/3.70 % (3590651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.79/3.70 % (3590651)CaDiCaL version: 2.1.3
% 21.79/3.70 % (3590651)Termination reason: Instruction limit
% 21.79/3.70 % (3590651)Termination phase: Saturation
% 21.79/3.70 % (3590651)Time elapsed: 0.441 s
% 21.79/3.70 % (3590651)Peak memory usage: 13 MB
% 21.79/3.70 % (3590651)Instructions burned: 763 (million)
% 21.79/3.70 % (3590672)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3085621268:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2972 on theBenchmark for (2972ds/4980Mi)
% 21.79/3.70 % (3590672)Refutation not found, incomplete strategy
% 21.79/3.70 % (3590672)------------------------------
% 21.79/3.70 % (3590672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.79/3.70 % (3590672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.79/3.70 % (3590672)CaDiCaL version: 2.1.3
% 21.79/3.70 % (3590672)Termination reason: Refutation not found, incomplete strategy
% 21.79/3.70 % (3590672)Time elapsed: 0.001 s
% 21.79/3.70 % (3590672)Peak memory usage: 11 MB
% 21.79/3.70 % (3590672)------------------------------
% 21.79/3.70 % (3590672)------------------------------
% 21.79/3.70 % (3590675)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=3704299094:i=76:piset=equals:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/76Mi)
% 21.79/3.70 % (3590674)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
% 21.79/3.70 % (3590674)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 21.79/3.70 % (3590674)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=538058251:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2972 on theBenchmark for (2972ds/100Mi)
% 21.79/3.70 % (3590677)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=3534806012:i=289:rtra=on_2972 on theBenchmark for (2972ds/289Mi)
% 21.79/3.70 % (3590677)Refutation not found, incomplete strategy
% 21.79/3.70 % (3590677)------------------------------
% 21.79/3.70 % (3590677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.79/3.70 % (3590677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.79/3.70 % (3590677)CaDiCaL version: 2.1.3
% 21.79/3.70 % (3590677)Termination reason: Refutation not found, incomplete strategy
% 21.79/3.70 % (3590677)Time elapsed: 0.002 s
% 21.79/3.70 % (3590677)Peak memory usage: 11 MB
% 21.79/3.70 % (3590677)Instructions burned: 1 (million)
% 21.79/3.70 % (3590677)------------------------------
% 21.79/3.70 % (3590677)------------------------------
% 21.79/3.70 % (3590675)Instruction limit reached!
% 21.79/3.70 % (3590675)------------------------------
% 21.79/3.70 % (3590675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.79/3.70 % (3590675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.79/3.70 % (3590675)CaDiCaL version: 2.1.3
% 21.79/3.70 % (3590675)Termination reason: Instruction limit
% 21.79/3.70 % (3590675)Termination phase: Saturation
% 21.79/3.70 % (3590675)Time elapsed: 0.041 s
% 21.98/3.70 % (3590675)Peak memory usage: 12 MB
% 21.98/3.70 % (3590675)Instructions burned: 76 (million)
% 21.98/3.70 % (3590681)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=2264742037:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2971 on theBenchmark for (2971ds/493Mi)
% 21.98/3.70 % (3590682)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=3588102124:cond=on:i=34:hud=10:nm=10:rtra=on_2971 on theBenchmark for (2971ds/34Mi)
% 21.98/3.70 % (3590674)Instruction limit reached!
% 21.98/3.70 % (3590674)------------------------------
% 21.98/3.70 % (3590674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.98/3.70 % (3590674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.98/3.70 % (3590674)CaDiCaL version: 2.1.3
% 21.98/3.70 % (3590674)Termination reason: Instruction limit
% 21.98/3.70 % (3590674)Termination phase: Saturation
% 21.98/3.70 % (3590674)Time elapsed: 0.081 s
% 21.98/3.79 % (3590674)Peak memory usage: 12 MB
% 21.98/3.79 % (3590674)Instructions burned: 100 (million)
% 21.98/3.79 % (3590682)Instruction limit reached!
% 21.98/3.79 % (3590682)------------------------------
% 21.98/3.79 % (3590682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.98/3.79 % (3590682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.98/3.79 % (3590682)CaDiCaL version: 2.1.3
% 21.98/3.79 % (3590682)Termination reason: Instruction limit
% 21.98/3.79 % (3590682)Termination phase: Saturation
% 21.98/3.79 % (3590682)Time elapsed: 0.031 s
% 21.98/3.79 % (3590682)Peak memory usage: 12 MB
% 21.98/3.79 % (3590682)Instructions burned: 35 (million)
% 21.98/3.79 % (3590685)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 21.98/3.79 % (3590685)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=476453045:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2971 on theBenchmark for (2971ds/372Mi)
% 21.98/3.79 % (3590685)Refutation not found, incomplete strategy
% 21.98/3.79 % (3590685)------------------------------
% 21.98/3.79 % (3590685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.98/3.79 % (3590685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.98/3.79 % (3590685)CaDiCaL version: 2.1.3
% 21.98/3.79 % (3590685)Termination reason: Refutation not found, incomplete strategy
% 21.98/3.79 % (3590685)Time elapsed: 0.002 s
% 21.98/3.79 % (3590685)Peak memory usage: 11 MB
% 21.98/3.79 % (3590685)Instructions burned: 3 (million)
% 21.98/3.79 % (3590685)------------------------------
% 21.98/3.79 % (3590685)------------------------------
% 21.98/3.79 % (3590686)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2224548071:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2971 on theBenchmark for (2971ds/670Mi)
% 21.98/3.79 % (3590688)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4287081194:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/647Mi)
% 21.98/3.79 % (3590688)Refutation not found, incomplete strategy
% 21.98/3.79 % (3590688)------------------------------
% 21.98/3.79 % (3590688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.98/3.79 % (3590688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.98/3.79 % (3590688)CaDiCaL version: 2.1.3
% 21.98/3.79 % (3590688)Termination reason: Refutation not found, incomplete strategy
% 21.98/3.79 % (3590688)Time elapsed: 0.001 s
% 21.98/3.79 % (3590688)Peak memory usage: 11 MB
% 21.98/3.79 % (3590688)------------------------------
% 21.98/3.79 % (3590688)------------------------------
% 21.98/3.79 % (3590667)Instruction limit reached!
% 21.98/3.79 % (3590667)------------------------------
% 21.98/3.79 % (3590667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.98/3.79 % (3590667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.98/3.79 % (3590667)CaDiCaL version: 2.1.3
% 21.98/3.79 % (3590667)Termination reason: Instruction limit
% 21.98/3.79 % (3590667)Termination phase: Saturation
% 21.98/3.79 % (3590667)Time elapsed: 0.328 s
% 21.98/3.79 % (3590667)Peak memory usage: 14 MB
% 21.98/3.79 % (3590667)Instructions burned: 445 (million)
% 21.98/3.79 % (3590691)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=3649311854:i=857:add=off:kws=frequency:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/857Mi)
% 21.98/3.79 % (3590692)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=3903860980:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2970 on theBenchmark for (2970ds/693Mi)
% 21.98/3.79 % (3590615)Instruction limit reached!
% 21.98/3.79 % (3590615)------------------------------
% 21.98/3.79 % (3590615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.98/3.79 % (3590615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.98/3.79 % (3590615)CaDiCaL version: 2.1.3
% 21.98/3.79 % (3590615)Termination reason: Instruction limit
% 21.98/3.79 % (3590615)Termination phase: Saturation
% 21.98/3.79 % (3590615)Time elapsed: 1.465 s
% 21.98/3.79 % (3590615)Peak memory usage: 13 MB
% 21.98/3.79 % (3590615)Instructions burned: 2186 (million)
% 23.86/3.88 % (3590695)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=2293023614:i=285:hud=10:bd=all:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/285Mi)
% 23.86/3.88 % (3590695)Refutation not found, incomplete strategy
% 23.86/3.88 % (3590695)------------------------------
% 23.86/3.88 % (3590695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.86/3.88 % (3590695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.86/3.88 % (3590695)CaDiCaL version: 2.1.3
% 23.86/3.88 % (3590695)Termination reason: Refutation not found, incomplete strategy
% 23.86/3.88 % (3590695)Time elapsed: 0.002 s
% 23.86/3.88 % (3590695)Peak memory usage: 11 MB
% 23.86/3.88 % (3590695)Instructions burned: 1 (million)
% 23.86/3.88 % (3590695)------------------------------
% 23.86/3.88 % (3590695)------------------------------
% 23.86/3.88 % (3590697)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 23.86/3.88 % (3590697)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=1654907707: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)
% 23.86/3.88 % (3590697)Instruction limit reached!
% 23.86/3.88 % (3590697)------------------------------
% 23.86/3.88 % (3590697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.86/3.88 % (3590697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.86/3.88 % (3590697)CaDiCaL version: 2.1.3
% 23.86/3.88 % (3590697)Termination reason: Instruction limit
% 23.86/3.88 % (3590697)Termination phase: Saturation
% 23.86/3.88 % (3590697)Time elapsed: 0.022 s
% 23.86/3.88 % (3590697)Peak memory usage: 12 MB
% 23.86/3.88 % (3590697)Instructions burned: 54 (million)
% 23.86/3.88 % (3590699)dis+10_1_si=on:random_seed=3354843305:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2969 on theBenchmark for (2969ds/407Mi)
% 23.86/3.88 % (3590699)Refutation not found, incomplete strategy
% 23.86/3.88 % (3590699)------------------------------
% 23.86/3.88 % (3590699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.86/3.88 % (3590699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.86/3.88 % (3590699)CaDiCaL version: 2.1.3
% 23.86/3.88 % (3590699)Termination reason: Refutation not found, incomplete strategy
% 23.86/3.88 % (3590699)Time elapsed: 0.001 s
% 23.86/3.88 % (3590699)Peak memory usage: 12 MB
% 23.86/3.88 % (3590699)------------------------------
% 23.86/3.88 % (3590699)------------------------------
% 23.86/3.88 % (3590701)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=2715457194:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/2240Mi)
% 23.86/3.88 % (3590681)Instruction limit reached!
% 23.86/3.88 % (3590681)------------------------------
% 23.86/3.88 % (3590681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.86/3.88 % (3590681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.86/3.88 % (3590681)CaDiCaL version: 2.1.3
% 23.86/3.88 % (3590681)Termination reason: Instruction limit
% 23.86/3.88 % (3590681)Termination phase: Saturation
% 23.86/3.88 % (3590681)Time elapsed: 0.375 s
% 23.86/3.88 % (3590681)Peak memory usage: 13 MB
% 23.86/3.88 % (3590681)Instructions burned: 494 (million)
% 23.86/3.88 % (3590703)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=76820618:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2967 on theBenchmark for (2967ds/336Mi)
% 23.86/3.88 % (3590703)Refutation not found, incomplete strategy
% 23.86/3.88 % (3590703)------------------------------
% 23.86/3.88 % (3590703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.86/3.88 % (3590703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.86/3.88 % (3590703)CaDiCaL version: 2.1.3
% 23.86/3.88 % (3590703)Termination reason: Refutation not found, incomplete strategy
% 23.86/3.88 % (3590703)Time elapsed: 0.001 s
% 23.86/3.88 % (3590703)Peak memory usage: 11 MB
% 23.86/3.88 % (3590703)------------------------------
% 23.86/3.88 % (3590703)------------------------------
% 23.86/3.88 % (3590705)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=1113108278:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2967 on theBenchmark for (2967ds/1142Mi)
% 23.86/3.88 % (3590686)Instruction limit reached!
% 23.86/3.88 % (3590686)------------------------------
% 26.79/4.19 % (3590686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.79/4.19 % (3590686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.79/4.19 % (3590686)CaDiCaL version: 2.1.3
% 26.79/4.19 % (3590686)Termination reason: Instruction limit
% 26.79/4.19 % (3590686)Termination phase: Saturation
% 26.79/4.19 % (3590686)Time elapsed: 0.471 s
% 26.79/4.19 % (3590686)Peak memory usage: 12 MB
% 26.79/4.19 % (3590686)Instructions burned: 671 (million)
% 26.79/4.19 % (3590692)Instruction limit reached!
% 26.79/4.19 % (3590692)------------------------------
% 26.79/4.19 % (3590692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.79/4.19 % (3590692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.79/4.19 % (3590692)CaDiCaL version: 2.1.3
% 26.79/4.19 % (3590692)Termination reason: Instruction limit
% 26.79/4.19 % (3590692)Termination phase: Saturation
% 26.79/4.19 % (3590692)Time elapsed: 0.458 s
% 26.79/4.19 % (3590692)Peak memory usage: 12 MB
% 26.79/4.19 % (3590692)Instructions burned: 694 (million)
% 26.79/4.19 % (3590707)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3724306204:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2966 on theBenchmark for (2966ds/376Mi)
% 26.79/4.19 % (3590707)Refutation not found, incomplete strategy
% 26.79/4.19 % (3590707)------------------------------
% 26.79/4.19 % (3590707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.79/4.19 % (3590707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.79/4.19 % (3590707)CaDiCaL version: 2.1.3
% 26.79/4.19 % (3590707)Termination reason: Refutation not found, incomplete strategy
% 26.79/4.19 % (3590707)Time elapsed: 0.001 s
% 26.79/4.19 % (3590707)Peak memory usage: 11 MB
% 26.79/4.19 % (3590707)------------------------------
% 26.79/4.19 % (3590707)------------------------------
% 26.79/4.19 % (3590710)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 26.79/4.19 % (3590710)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=1831163153: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_2965 on theBenchmark for (2965ds/959Mi)
% 26.79/4.19 % (3590710)Refutation not found, incomplete strategy
% 26.79/4.19 % (3590710)------------------------------
% 26.79/4.19 % (3590710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.79/4.19 % (3590710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.79/4.19 % (3590710)CaDiCaL version: 2.1.3
% 26.79/4.19 % (3590710)Termination reason: Refutation not found, incomplete strategy
% 26.79/4.19 % (3590710)Time elapsed: 0.001 s
% 26.79/4.19 % (3590710)Peak memory usage: 12 MB
% 26.79/4.19 % (3590710)------------------------------
% 26.79/4.19 % (3590710)------------------------------
% 26.79/4.19 % (3590708)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=215129700:i=766:bd=all:rtra=on_2965 on theBenchmark for (2965ds/766Mi)
% 26.79/4.19 % (3590708)Refutation not found, incomplete strategy
% 26.79/4.19 % (3590708)------------------------------
% 26.79/4.19 % (3590708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.79/4.19 % (3590708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.79/4.19 % (3590708)CaDiCaL version: 2.1.3
% 26.79/4.19 % (3590708)Termination reason: Refutation not found, incomplete strategy
% 26.79/4.19 % (3590708)Time elapsed: 0.002 s
% 26.79/4.19 % (3590708)Peak memory usage: 12 MB
% 26.79/4.19 % (3590708)Instructions burned: 1 (million)
% 26.79/4.19 % (3590708)------------------------------
% 26.79/4.19 % (3590708)------------------------------
% 26.79/4.19 % (3590691)Instruction limit reached!
% 26.79/4.19 % (3590691)------------------------------
% 26.79/4.19 % (3590691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.79/4.19 % (3590691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.79/4.19 % (3590691)CaDiCaL version: 2.1.3
% 26.79/4.19 % (3590691)Termination reason: Instruction limit
% 26.79/4.19 % (3590691)Termination phase: Saturation
% 26.79/4.19 % (3590691)Time elapsed: 0.528 s
% 26.79/4.19 % (3590691)Peak memory usage: 12 MB
% 26.79/4.19 % (3590691)Instructions burned: 858 (million)
% 26.79/4.19 % (3590714)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3629029276:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2965 on theBenchmark for (2965ds/35Mi)
% 27.76/4.33 % (3590714)Refutation not found, incomplete strategy
% 27.76/4.33 % (3590714)------------------------------
% 27.76/4.33 % (3590714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.76/4.33 % (3590714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.76/4.33 % (3590714)CaDiCaL version: 2.1.3
% 27.76/4.33 % (3590714)Termination reason: Refutation not found, incomplete strategy
% 27.76/4.33 % (3590714)Time elapsed: 0.0000 s
% 27.76/4.33 % (3590714)Peak memory usage: 11 MB
% 27.76/4.33 % (3590714)------------------------------
% 27.76/4.33 % (3590714)------------------------------
% 27.76/4.33 % (3590712)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=2150871378:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2965 on theBenchmark for (2965ds/6359Mi)
% 27.76/4.33 % (3590717)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=1202461650:s2a=on:i=876:s2at=6:nm=2:rtra=on_2965 on theBenchmark for (2965ds/876Mi)
% 27.76/4.33 % (3590562)Instruction limit reached!
% 27.76/4.33 % (3590562)------------------------------
% 27.76/4.33 % (3590562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.76/4.33 % (3590562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.76/4.33 % (3590562)CaDiCaL version: 2.1.3
% 27.76/4.33 % (3590562)Termination reason: Instruction limit
% 27.76/4.33 % (3590562)Termination phase: Saturation
% 27.76/4.33 % (3590562)Time elapsed: 2.542 s
% 27.76/4.33 % (3590562)Peak memory usage: 13 MB
% 27.76/4.33 % (3590562)Instructions burned: 9840 (million)
% 27.76/4.33 % (3590715)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2955583996:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2965 on theBenchmark for (2965ds/53Mi)
% 27.76/4.33 % (3590720)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2567058387:i=57:ep=R:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/57Mi)
% 27.76/4.33 % (3590720)Instruction limit reached!
% 27.76/4.33 % (3590720)------------------------------
% 27.76/4.33 % (3590720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.76/4.33 % (3590720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.76/4.33 % (3590720)CaDiCaL version: 2.1.3
% 27.76/4.33 % (3590720)Termination reason: Instruction limit
% 27.76/4.33 % (3590720)Termination phase: Saturation
% 27.76/4.33 % (3590720)Time elapsed: 0.028 s
% 27.76/4.33 % (3590720)Peak memory usage: 12 MB
% 27.76/4.33 % (3590720)Instructions burned: 57 (million)
% 27.76/4.33 % (3590715)Instruction limit reached!
% 27.76/4.33 % (3590715)------------------------------
% 27.76/4.33 % (3590715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.76/4.33 % (3590715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.76/4.33 % (3590715)CaDiCaL version: 2.1.3
% 27.76/4.33 % (3590715)Termination reason: Instruction limit
% 27.76/4.33 % (3590715)Termination phase: Saturation
% 27.76/4.33 % (3590715)Time elapsed: 0.047 s
% 27.76/4.33 % (3590715)Peak memory usage: 12 MB
% 27.76/4.33 % (3590715)Instructions burned: 54 (million)
% 27.76/4.33 % (3590723)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 27.76/4.33 % (3590723)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=885933168:i=306:bd=all:rtra=on_2964 on theBenchmark for (2964ds/306Mi)
% 27.76/4.33 % (3590723)Refutation not found, incomplete strategy
% 27.76/4.33 % (3590723)------------------------------
% 27.76/4.33 % (3590723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.76/4.33 % (3590723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.76/4.33 % (3590723)CaDiCaL version: 2.1.3
% 27.76/4.33 % (3590723)Termination reason: Refutation not found, incomplete strategy
% 27.76/4.33 % (3590723)Time elapsed: 0.001 s
% 27.76/4.33 % (3590723)Peak memory usage: 11 MB
% 27.76/4.33 % (3590723)Instructions burned: 1 (million)
% 27.76/4.33 % (3590723)------------------------------
% 27.76/4.33 % (3590723)------------------------------
% 27.76/4.33 % (3590724)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=4053265018:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/262Mi)
% 27.76/4.33 % (3590724)Refutation not found, incomplete strategy
% 28.56/4.46 % (3590724)------------------------------
% 28.56/4.46 % (3590724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.56/4.46 % (3590724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/4.46 % (3590724)CaDiCaL version: 2.1.3
% 28.56/4.46 % (3590724)Termination reason: Refutation not found, incomplete strategy
% 28.56/4.46 % (3590724)Time elapsed: 0.001 s
% 28.56/4.46 % (3590724)Peak memory usage: 12 MB
% 28.56/4.46 % (3590724)------------------------------
% 28.56/4.46 % (3590724)------------------------------
% 28.56/4.46 % (3590728)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=4254801953:s2a=on:i=381:rtra=on_2964 on theBenchmark for (2964ds/381Mi)
% 28.56/4.46 % (3590727)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 % (3590727)ott+1002_16_sil=128000:si=on:random_seed=3398201058:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2964 on theBenchmark for (2964ds/409Mi)
% 28.56/4.46 % (3590728)Instruction limit reached!
% 28.56/4.46 % (3590728)------------------------------
% 28.56/4.46 % (3590728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.56/4.46 % (3590728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/4.46 % (3590728)CaDiCaL version: 2.1.3
% 28.56/4.46 % (3590728)Termination reason: Instruction limit
% 28.56/4.46 % (3590728)Termination phase: Saturation
% 28.56/4.46 % (3590728)Time elapsed: 0.151 s
% 28.56/4.46 % (3590728)Peak memory usage: 12 MB
% 28.56/4.46 % (3590728)Instructions burned: 383 (million)
% 28.56/4.46 % (3590629)Instruction limit reached!
% 28.56/4.46 % (3590629)------------------------------
% 28.56/4.46 % (3590629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.56/4.46 % (3590629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/4.46 % (3590629)CaDiCaL version: 2.1.3
% 28.56/4.46 % (3590629)Termination reason: Instruction limit
% 28.56/4.46 % (3590629)Termination phase: Saturation
% 28.56/4.46 % (3590629)Time elapsed: 1.948 s
% 28.56/4.46 % (3590629)Peak memory usage: 16 MB
% 28.56/4.46 % (3590629)Instructions burned: 2470 (million)
% 28.56/4.46 % (3590731)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=311689206:cond=on:i=324:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/324Mi)
% 28.56/4.46 % (3590732)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=604617995:i=240:kws=inv_precedence:rtra=on_2962 on theBenchmark for (2962ds/240Mi)
% 28.56/4.46 % (3590732)Refutation not found, incomplete strategy
% 28.56/4.46 % (3590732)------------------------------
% 28.56/4.46 % (3590732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.56/4.46 % (3590732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/4.46 % (3590732)CaDiCaL version: 2.1.3
% 28.56/4.46 % (3590732)Termination reason: Refutation not found, incomplete strategy
% 28.56/4.46 % (3590732)Time elapsed: 0.001 s
% 28.56/4.46 % (3590732)Peak memory usage: 12 MB
% 28.56/4.46 % (3590732)Instructions burned: 1 (million)
% 28.56/4.46 % (3590732)------------------------------
% 28.56/4.46 % (3590732)------------------------------
% 28.56/4.46 % (3590735)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 % (3590735)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1176248375: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 % (3590727)Instruction limit reached!
% 28.56/4.46 % (3590727)------------------------------
% 28.56/4.46 % (3590727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.56/4.46 % (3590727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/4.46 % (3590727)CaDiCaL version: 2.1.3
% 28.56/4.46 % (3590727)Termination reason: Instruction limit
% 28.56/4.46 % (3590727)Termination phase: Saturation
% 28.56/4.46 % (3590727)Time elapsed: 0.246 s
% 28.56/4.46 % (3590727)Peak memory usage: 13 MB
% 28.56/4.46 % (3590727)Instructions burned: 410 (million)
% 28.56/4.46 % (3590737)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=491199466:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2961 on theBenchmark for (2961ds/223Mi)
% 28.56/4.46 % (3590731)Instruction limit reached!
% 28.56/4.46 % (3590731)------------------------------
% 28.56/4.46 % (3590731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.89/4.77 % (3590731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.89/4.77 % (3590731)CaDiCaL version: 2.1.3
% 29.89/4.77 % (3590731)Termination reason: Instruction limit
% 29.89/4.77 % (3590731)Termination phase: Saturation
% 29.89/4.77 % (3590731)Time elapsed: 0.115 s
% 29.89/4.77 % (3590731)Peak memory usage: 12 MB
% 29.89/4.77 % (3590731)Instructions burned: 325 (million)
% 29.89/4.77 % (3590739)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2485394352:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2961 on theBenchmark for (2961ds/282Mi)
% 29.89/4.77 % (3590735)Instruction limit reached!
% 29.89/4.77 % (3590735)------------------------------
% 29.89/4.77 % (3590735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.89/4.77 % (3590735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.89/4.77 % (3590735)CaDiCaL version: 2.1.3
% 29.89/4.77 % (3590735)Termination reason: Instruction limit
% 29.89/4.77 % (3590735)Termination phase: Saturation
% 29.89/4.77 % (3590735)Time elapsed: 0.090 s
% 29.89/4.77 % (3590735)Peak memory usage: 12 MB
% 29.89/4.77 % (3590735)Instructions burned: 124 (million)
% 29.89/4.77 % (3590741)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=1388013366:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/464Mi)
% 29.89/4.77 % (3590741)Refutation not found, incomplete strategy
% 29.89/4.77 % (3590741)------------------------------
% 29.89/4.77 % (3590741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.89/4.77 % (3590741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.89/4.77 % (3590741)CaDiCaL version: 2.1.3
% 29.89/4.77 % (3590741)Termination reason: Refutation not found, incomplete strategy
% 29.89/4.77 % (3590741)Time elapsed: 0.001 s
% 29.89/4.77 % (3590741)Peak memory usage: 11 MB
% 29.89/4.77 % (3590741)Instructions burned: 1 (million)
% 29.89/4.77 % (3590741)------------------------------
% 29.89/4.77 % (3590741)------------------------------
% 29.89/4.77 % (3590743)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=183253025:i=88:s2at=3:nm=2:rtra=on:rawr=on_2960 on theBenchmark for (2960ds/88Mi)
% 29.89/4.77 % (3590705)Instruction limit reached!
% 29.89/4.77 % (3590705)------------------------------
% 29.89/4.77 % (3590705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.89/4.77 % (3590705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.89/4.77 % (3590705)CaDiCaL version: 2.1.3
% 29.89/4.77 % (3590705)Termination reason: Instruction limit
% 29.89/4.77 % (3590705)Termination phase: Saturation
% 29.89/4.77 % (3590705)Time elapsed: 0.721 s
% 29.89/4.77 % (3590705)Peak memory usage: 14 MB
% 29.89/4.77 % (3590705)Instructions burned: 1142 (million)
% 29.89/4.77 % (3590737)Instruction limit reached!
% 29.89/4.77 % (3590737)------------------------------
% 29.89/4.77 % (3590737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.89/4.77 % (3590737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.89/4.77 % (3590737)CaDiCaL version: 2.1.3
% 29.89/4.77 % (3590737)Termination reason: Instruction limit
% 29.89/4.77 % (3590737)Termination phase: Saturation
% 29.89/4.77 % (3590737)Time elapsed: 0.138 s
% 29.89/4.77 % (3590737)Peak memory usage: 13 MB
% 29.89/4.77 % (3590737)Instructions burned: 224 (million)
% 29.89/4.77 % (3590739)Instruction limit reached!
% 29.89/4.77 % (3590739)------------------------------
% 29.89/4.77 % (3590739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.89/4.77 % (3590739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.89/4.77 % (3590739)CaDiCaL version: 2.1.3
% 29.89/4.77 % (3590739)Termination reason: Instruction limit
% 29.89/4.77 % (3590739)Termination phase: Saturation
% 29.89/4.77 % (3590739)Time elapsed: 0.113 s
% 29.89/4.77 % (3590739)Peak memory usage: 12 MB
% 29.89/4.77 % (3590739)Instructions burned: 282 (million)
% 29.89/4.77 % (3590743)Instruction limit reached!
% 29.89/4.77 % (3590743)------------------------------
% 29.89/4.77 % (3590743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.89/4.77 % (3590743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.89/4.77 % (3590743)CaDiCaL version: 2.1.3
% 29.89/4.77 % (3590743)Termination reason: Instruction limit
% 29.89/4.77 % (3590743)Termination phase: Saturation
% 29.89/4.77 % (3590743)Time elapsed: 0.067 s
% 29.89/4.77 % (3590743)Peak memory usage: 12 MB
% 29.89/4.77 % (3590743)Instructions burned: 89 (million)
% 31.13/5.03 % (3590745)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3701217444:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2959 on theBenchmark for (2959ds/280Mi)
% 31.13/5.03 % (3590746)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 31.13/5.03 % (3590746)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2370617218:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2959 on theBenchmark for (2959ds/4386Mi)
% 31.13/5.03 % (3590747)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 31.13/5.03 % (3590747)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 31.13/5.03 % (3590748)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3214611139:i=73:rtra=on_2959 on theBenchmark for (2959ds/73Mi)
% 31.13/5.03 % (3590748)Refutation not found, incomplete strategy
% 31.13/5.03 % (3590748)------------------------------
% 31.13/5.03 % (3590748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.13/5.03 % (3590748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.13/5.03 % (3590748)CaDiCaL version: 2.1.3
% 31.13/5.03 % (3590748)Termination reason: Refutation not found, incomplete strategy
% 31.13/5.03 % (3590748)Time elapsed: 0.001 s
% 31.13/5.03 % (3590748)Peak memory usage: 11 MB
% 31.13/5.03 % (3590748)Instructions burned: 1 (million)
% 31.13/5.03 % (3590748)------------------------------
% 31.13/5.03 % (3590748)------------------------------
% 31.13/5.03 % (3590747)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=4015827507:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2959 on theBenchmark for (2959ds/483Mi)
% 31.13/5.03 % (3590747)Refutation not found, incomplete strategy
% 31.13/5.03 % (3590747)------------------------------
% 31.13/5.03 % (3590747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.13/5.03 % (3590747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.13/5.03 % (3590747)CaDiCaL version: 2.1.3
% 31.13/5.03 % (3590747)Termination reason: Refutation not found, incomplete strategy
% 31.13/5.03 % (3590747)Time elapsed: 0.001 s
% 31.13/5.03 % (3590747)Peak memory usage: 12 MB
% 31.13/5.03 % (3590747)------------------------------
% 31.13/5.03 % (3590747)------------------------------
% 31.13/5.03 % (3590753)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=807407531: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)
% 31.13/5.03 % (3590754)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 31.13/5.03 % (3590754)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2943739116:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2959 on theBenchmark for (2959ds/39Mi)
% 31.13/5.03 % (3590754)Instruction limit reached!
% 31.13/5.03 % (3590754)------------------------------
% 31.13/5.03 % (3590754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.13/5.03 % (3590754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.13/5.03 % (3590754)CaDiCaL version: 2.1.3
% 31.13/5.03 % (3590754)Termination reason: Instruction limit
% 31.13/5.03 % (3590754)Termination phase: Saturation
% 31.13/5.03 % (3590754)Time elapsed: 0.034 s
% 31.13/5.03 % (3590754)Peak memory usage: 12 MB
% 31.13/5.03 % (3590754)Instructions burned: 40 (million)
% 31.13/5.03 % (3590757)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2597285571:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2958 on theBenchmark for (2958ds/708Mi)
% 31.13/5.03 % (3590717)Instruction limit reached!
% 31.13/5.03 % (3590717)------------------------------
% 31.13/5.03 % (3590717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.13/5.03 % (3590717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.13/5.03 % (3590717)CaDiCaL version: 2.1.3
% 31.13/5.03 % (3590717)Termination reason: Instruction limit
% 31.13/5.03 % (3590717)Termination phase: Saturation
% 31.13/5.03 % (3590717)Time elapsed: 0.648 s
% 34.29/5.26 % (3590717)Peak memory usage: 13 MB
% 34.29/5.26 % (3590717)Instructions burned: 877 (million)
% 34.29/5.26 % (3590759)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 34.29/5.26 % (3590759)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=327688944:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2958 on theBenchmark for (2958ds/252Mi)
% 34.29/5.26 % (3590753)Instruction limit reached!
% 34.29/5.26 % (3590753)------------------------------
% 34.29/5.26 % (3590753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.29/5.26 % (3590753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.29/5.26 % (3590753)CaDiCaL version: 2.1.3
% 34.29/5.26 % (3590753)Termination reason: Instruction limit
% 34.29/5.26 % (3590753)Termination phase: Saturation
% 34.29/5.26 % (3590753)Time elapsed: 0.130 s
% 34.29/5.26 % (3590753)Peak memory usage: 12 MB
% 34.29/5.26 % (3590753)Instructions burned: 179 (million)
% 34.29/5.26 % (3590761)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=4072236002:i=823:fsr=off:rtra=on_2958 on theBenchmark for (2958ds/823Mi)
% 34.29/5.26 % (3590745)Instruction limit reached!
% 34.29/5.26 % (3590745)------------------------------
% 34.29/5.26 % (3590745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.29/5.26 % (3590745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.29/5.26 % (3590745)CaDiCaL version: 2.1.3
% 34.29/5.26 % (3590745)Termination reason: Instruction limit
% 34.29/5.26 % (3590745)Termination phase: Saturation
% 34.29/5.26 % (3590745)Time elapsed: 0.222 s
% 34.29/5.26 % (3590745)Peak memory usage: 12 MB
% 34.29/5.26 % (3590745)Instructions burned: 280 (million)
% 34.29/5.26 % (3590763)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 34.29/5.26 % (3590763)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2663267842:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/16202Mi)
% 34.29/5.26 % (3590763)Refutation not found, incomplete strategy
% 34.29/5.26 % (3590763)------------------------------
% 34.29/5.26 % (3590763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.29/5.26 % (3590763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.29/5.26 % (3590763)CaDiCaL version: 2.1.3
% 34.29/5.26 % (3590763)Termination reason: Refutation not found, incomplete strategy
% 34.29/5.26 % (3590763)Time elapsed: 0.001 s
% 34.29/5.26 % (3590763)Peak memory usage: 12 MB
% 34.29/5.26 % (3590763)Instructions burned: 2 (million)
% 34.29/5.26 % (3590763)------------------------------
% 34.29/5.26 % (3590763)------------------------------
% 34.29/5.26 % (3590765)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=2852115557:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/300Mi)
% 34.29/5.26 % (3590759)Instruction limit reached!
% 34.29/5.26 % (3590759)------------------------------
% 34.29/5.26 % (3590759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.29/5.26 % (3590759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.29/5.26 % (3590759)CaDiCaL version: 2.1.3
% 34.29/5.26 % (3590759)Termination reason: Instruction limit
% 34.29/5.26 % (3590759)Termination phase: Saturation
% 34.29/5.26 % (3590759)Time elapsed: 0.156 s
% 34.29/5.26 % (3590759)Peak memory usage: 12 MB
% 34.29/5.26 % (3590759)Instructions burned: 252 (million)
% 34.29/5.26 % (3590767)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 34.29/5.26 % (3590767)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 34.29/5.26 % (3590767)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=117325271:i=177:add=on:bd=preordered:rtra=on:rawr=on_2956 on theBenchmark for (2956ds/177Mi)
% 34.29/5.26 % (3590767)Instruction limit reached!
% 34.29/5.26 % (3590767)------------------------------
% 34.29/5.26 % (3590767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.29/5.26 % (3590767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.44 % (3590767)CaDiCaL version: 2.1.3
% 35.05/5.44 % (3590767)Termination reason: Instruction limit
% 35.05/5.44 % (3590767)Termination phase: Saturation
% 35.05/5.44 % (3590767)Time elapsed: 0.117 s
% 35.05/5.44 % (3590767)Peak memory usage: 13 MB
% 35.05/5.44 % (3590767)Instructions burned: 178 (million)
% 35.05/5.44 % (3590769)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3868923339:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2955 on theBenchmark for (2955ds/715Mi)
% 35.05/5.44 % (3590769)Refutation not found, incomplete strategy
% 35.05/5.44 % (3590769)------------------------------
% 35.05/5.44 % (3590769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.05/5.44 % (3590769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.44 % (3590769)CaDiCaL version: 2.1.3
% 35.05/5.44 % (3590769)Termination reason: Refutation not found, incomplete strategy
% 35.05/5.44 % (3590769)Time elapsed: 0.001 s
% 35.05/5.44 % (3590769)Peak memory usage: 11 MB
% 35.05/5.44 % (3590769)Instructions burned: 2 (million)
% 35.05/5.44 % (3590769)------------------------------
% 35.05/5.44 % (3590769)------------------------------
% 35.05/5.44 % (3590771)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 35.05/5.44 % (3590771)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 35.05/5.44 % (3590771)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=3693056033:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2955 on theBenchmark for (2955ds/230Mi)
% 35.05/5.44 % (3590765)Instruction limit reached!
% 35.05/5.44 % (3590765)------------------------------
% 35.05/5.44 % (3590765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.05/5.44 % (3590765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.44 % (3590765)CaDiCaL version: 2.1.3
% 35.05/5.44 % (3590765)Termination reason: Instruction limit
% 35.05/5.44 % (3590765)Termination phase: Saturation
% 35.05/5.44 % (3590765)Time elapsed: 0.230 s
% 35.05/5.44 % (3590765)Peak memory usage: 12 MB
% 35.05/5.44 % (3590765)Instructions burned: 300 (million)
% 35.05/5.44 % (3590771)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 35.05/5.44 % (3590773)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1237668731: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)
% 35.05/5.44 % (3590757)Instruction limit reached!
% 35.05/5.44 % (3590757)------------------------------
% 35.05/5.44 % (3590757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.05/5.44 % (3590757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.44 % (3590757)CaDiCaL version: 2.1.3
% 35.05/5.44 % (3590757)Termination reason: Instruction limit
% 35.05/5.44 % (3590757)Termination phase: Saturation
% 35.05/5.44 % (3590757)Time elapsed: 0.416 s
% 35.05/5.44 % (3590757)Peak memory usage: 14 MB
% 35.05/5.44 % (3590757)Instructions burned: 709 (million)
% 35.05/5.44 % (3590775)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 35.05/5.44 % (3590775)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3111199552:lrd=on:i=841:nm=0:rtra=on_2954 on theBenchmark for (2954ds/841Mi)
% 35.05/5.44 % (3590701)Instruction limit reached!
% 35.05/5.44 % (3590701)------------------------------
% 35.05/5.44 % (3590701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.05/5.44 % (3590701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.44 % (3590701)CaDiCaL version: 2.1.3
% 35.05/5.44 % (3590701)Termination reason: Instruction limit
% 35.05/5.44 % (3590701)Termination phase: Saturation
% 35.05/5.44 % (3590701)Time elapsed: 1.606 s
% 35.05/5.44 % (3590701)Peak memory usage: 17 MB
% 35.05/5.44 % (3590701)Instructions burned: 2240 (million)
% 35.05/5.44 % (3590771)Instruction limit reached!
% 35.05/5.44 % (3590771)------------------------------
% 35.05/5.44 % (3590771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.05/5.44 % (3590771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.44 % (3590771)CaDiCaL version: 2.1.3
% 35.05/5.49 % (3590771)Termination reason: Instruction limit
% 35.05/5.49 % (3590771)Termination phase: Saturation
% 35.05/5.49 % (3590771)Time elapsed: 0.194 s
% 35.05/5.49 % (3590771)Peak memory usage: 13 MB
% 35.05/5.49 % (3590771)Instructions burned: 230 (million)
% 35.05/5.49 % (3590777)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2765893410:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2953 on theBenchmark for (2953ds/445Mi)
% 35.05/5.49 % (3590778)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3112515900:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2952 on theBenchmark for (2952ds/71Mi)
% 35.05/5.49 % (3590778)Instruction limit reached!
% 35.05/5.49 % (3590778)------------------------------
% 35.05/5.49 % (3590778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.05/5.49 % (3590778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.49 % (3590778)CaDiCaL version: 2.1.3
% 35.05/5.49 % (3590778)Termination reason: Instruction limit
% 35.05/5.49 % (3590778)Termination phase: Saturation
% 35.05/5.49 % (3590778)Time elapsed: 0.061 s
% 35.05/5.49 % (3590778)Peak memory usage: 12 MB
% 35.05/5.49 % (3590778)Instructions burned: 71 (million)
% 35.05/5.49 % (3590781)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
% 35.05/5.49 % (3590781)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 35.05/5.49 % (3590761)Instruction limit reached!
% 35.05/5.49 % (3590761)------------------------------
% 35.05/5.49 % (3590761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.05/5.49 % (3590761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.49 % (3590761)CaDiCaL version: 2.1.3
% 35.05/5.49 % (3590761)Termination reason: Instruction limit
% 35.05/5.49 % (3590761)Termination phase: Saturation
% 35.05/5.49 % (3590761)Time elapsed: 0.603 s
% 35.05/5.49 % (3590761)Peak memory usage: 13 MB
% 35.05/5.49 % (3590761)Instructions burned: 824 (million)
% 35.05/5.49 % (3590781)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1465490669:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2951 on theBenchmark for (2951ds/100Mi)
% 35.05/5.49 % (3590782)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 35.05/5.49 % (3590782)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=1593512193:i=1352:add=on:aac=none:rtra=on_2951 on theBenchmark for (2951ds/1352Mi)
% 35.05/5.49 % (3590782)Refutation not found, incomplete strategy
% 35.05/5.49 % (3590782)------------------------------
% 35.05/5.49 % (3590782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.05/5.49 % (3590782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.49 % (3590782)CaDiCaL version: 2.1.3
% 35.05/5.49 % (3590782)Termination reason: Refutation not found, incomplete strategy
% 35.05/5.49 % (3590782)Time elapsed: 0.002 s
% 35.05/5.49 % (3590782)Peak memory usage: 12 MB
% 35.05/5.49 % (3590782)Instructions burned: 3 (million)
% 35.05/5.49 % (3590782)------------------------------
% 35.05/5.49 % (3590782)------------------------------
% 35.05/5.49 % (3590785)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=429868202:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2951 on theBenchmark for (2951ds/646Mi)
% 35.05/5.49 % (3590781)Instruction limit reached!
% 35.05/5.49 % (3590781)------------------------------
% 35.05/5.49 % (3590781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.05/5.49 % (3590781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.05/5.49 % (3590781)CaDiCaL version: 2.1.3
% 35.05/5.49 % (3590781)Termination reason: Instruction limit
% 35.05/5.49 % (3590781)Termination phase: Saturation
% 35.05/5.49 % (3590781)Time elapsed: 0.083 s
% 35.05/5.49 % (3590781)Peak memory usage: 12 MB
% 35.05/5.49 % (3590781)Instructions burned: 101 (million)
% 35.05/5.49 % (3590787)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=2440712600:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2950 on theBenchmark for (2950ds/1924Mi)
% 36.49/5.62 % (3590787)Refutation not found, incomplete strategy
% 36.49/5.62 % (3590787)------------------------------
% 36.49/5.62 % (3590787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.49/5.62 % (3590787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.49/5.62 % (3590787)CaDiCaL version: 2.1.3
% 36.49/5.62 % (3590787)Termination reason: Refutation not found, incomplete strategy
% 36.49/5.62 % (3590787)Time elapsed: 0.001 s
% 36.49/5.62 % (3590787)Peak memory usage: 11 MB
% 36.49/5.62 % (3590787)------------------------------
% 36.49/5.62 % (3590787)------------------------------
% 36.49/5.62 % (3590789)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1202228561:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2950 on theBenchmark for (2950ds/984Mi)
% 36.49/5.62 % (3590789)Refutation not found, incomplete strategy
% 36.49/5.62 % (3590789)------------------------------
% 36.49/5.62 % (3590789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.49/5.62 % (3590789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.49/5.62 % (3590789)CaDiCaL version: 2.1.3
% 36.49/5.62 % (3590789)Termination reason: Refutation not found, incomplete strategy
% 36.49/5.62 % (3590789)Time elapsed: 0.002 s
% 36.49/5.62 % (3590789)Peak memory usage: 11 MB
% 36.49/5.62 % (3590789)Instructions burned: 1 (million)
% 36.49/5.62 % (3590789)------------------------------
% 36.49/5.62 % (3590789)------------------------------
% 36.49/5.62 % (3590773)Instruction limit reached!
% 36.49/5.62 % (3590773)------------------------------
% 36.49/5.62 % (3590773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.49/5.62 % (3590773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.49/5.62 % (3590773)CaDiCaL version: 2.1.3
% 36.49/5.62 % (3590773)Termination reason: Instruction limit
% 36.49/5.62 % (3590773)Termination phase: Saturation
% 36.49/5.62 % (3590773)Time elapsed: 0.467 s
% 36.49/5.62 % (3590773)Peak memory usage: 13 MB
% 36.49/5.62 % (3590773)Instructions burned: 606 (million)
% 36.49/5.62 % (3590791)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=3237501426:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2950 on theBenchmark for (2950ds/592Mi)
% 36.49/5.62 % (3590792)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1656986518:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2949 on theBenchmark for (2949ds/872Mi)
% 36.49/5.62 % (3590792)Refutation not found, incomplete strategy
% 36.49/5.62 % (3590792)------------------------------
% 36.49/5.62 % (3590792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.49/5.62 % (3590792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.49/5.62 % (3590792)CaDiCaL version: 2.1.3
% 36.49/5.62 % (3590792)Termination reason: Refutation not found, incomplete strategy
% 36.49/5.62 % (3590792)Time elapsed: 0.001 s
% 36.49/5.62 % (3590792)Peak memory usage: 11 MB
% 36.49/5.62 % (3590792)------------------------------
% 36.49/5.62 % (3590792)------------------------------
% 36.49/5.62 % (3590795)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 36.49/5.62 % (3590795)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=201458907:i=999:add=on:rtra=on_2949 on theBenchmark for (2949ds/999Mi)
% 36.49/5.62 % (3590777)Instruction limit reached!
% 36.49/5.62 % (3590777)------------------------------
% 36.49/5.62 % (3590777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.49/5.62 % (3590777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.49/5.62 % (3590777)CaDiCaL version: 2.1.3
% 36.49/5.62 % (3590777)Termination reason: Instruction limit
% 36.49/5.62 % (3590777)Termination phase: Saturation
% 36.49/5.62 % (3590777)Time elapsed: 0.369 s
% 36.49/5.62 % (3590777)Peak memory usage: 14 MB
% 36.49/5.62 % (3590777)Instructions burned: 445 (million)
% 36.49/5.62 % (3590797)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 36.49/5.62 % (3590797)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=2699626877:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2949 on theBenchmark for (2949ds/244Mi)
% 36.49/5.62 % (3590775)Instruction limit reached!
% 37.82/5.99 % (3590775)------------------------------
% 37.82/5.99 % (3590775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/5.99 % (3590775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/5.99 % (3590775)CaDiCaL version: 2.1.3
% 37.82/5.99 % (3590775)Termination reason: Instruction limit
% 37.82/5.99 % (3590775)Termination phase: Saturation
% 37.82/5.99 % (3590775)Time elapsed: 0.549 s
% 37.82/5.99 % (3590775)Peak memory usage: 13 MB
% 37.82/5.99 % (3590775)Instructions burned: 842 (million)
% 37.82/5.99 % (3590797)Refutation not found, incomplete strategy
% 37.82/5.99 % (3590797)------------------------------
% 37.82/5.99 % (3590797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/5.99 % (3590797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/5.99 % (3590797)CaDiCaL version: 2.1.3
% 37.82/5.99 % (3590797)Termination reason: Refutation not found, incomplete strategy
% 37.82/5.99 % (3590797)Time elapsed: 0.003 s
% 37.82/5.99 % (3590797)Peak memory usage: 11 MB
% 37.82/5.99 % (3590797)Instructions burned: 3 (million)
% 37.82/5.99 % (3590797)------------------------------
% 37.82/5.99 % (3590797)------------------------------
% 37.82/5.99 % (3590800)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=492162592:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2948 on theBenchmark for (2948ds/7795Mi)
% 37.82/5.99 % (3590800)Refutation not found, incomplete strategy
% 37.82/5.99 % (3590800)------------------------------
% 37.82/5.99 % (3590800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/5.99 % (3590800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/5.99 % (3590800)CaDiCaL version: 2.1.3
% 37.82/5.99 % (3590800)Termination reason: Refutation not found, incomplete strategy
% 37.82/5.99 % (3590800)Time elapsed: 0.001 s
% 37.82/5.99 % (3590800)Peak memory usage: 11 MB
% 37.82/5.99 % (3590800)------------------------------
% 37.82/5.99 % (3590800)------------------------------
% 37.82/5.99 % (3590785)Instruction limit reached!
% 37.82/5.99 % (3590785)------------------------------
% 37.82/5.99 % (3590785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/5.99 % (3590785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/5.99 % (3590785)CaDiCaL version: 2.1.3
% 37.82/5.99 % (3590785)Termination reason: Instruction limit
% 37.82/5.99 % (3590785)Termination phase: Saturation
% 37.82/5.99 % (3590785)Time elapsed: 0.279 s
% 37.82/5.99 % (3590785)Peak memory usage: 14 MB
% 37.82/5.99 % (3590785)Instructions burned: 647 (million)
% 37.82/5.99 % (3590799)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2819211555:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2948 on theBenchmark for (2948ds/113Mi)
% 37.82/5.99 % (3590799)Refutation not found, incomplete strategy
% 37.82/5.99 % (3590799)------------------------------
% 37.82/5.99 % (3590799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/5.99 % (3590799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/5.99 % (3590799)CaDiCaL version: 2.1.3
% 37.82/5.99 % (3590799)Termination reason: Refutation not found, incomplete strategy
% 37.82/5.99 % (3590799)Time elapsed: 0.002 s
% 37.82/5.99 % (3590799)Peak memory usage: 11 MB
% 37.82/5.99 % (3590799)Instructions burned: 1 (million)
% 37.82/5.99 % (3590799)------------------------------
% 37.82/5.99 % (3590799)------------------------------
% 37.82/5.99 % (3590802)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=625887951:st=2:i=5026:sd=1:rtra=on:ss=axioms_2948 on theBenchmark for (2948ds/5026Mi)
% 37.82/5.99 % (3590802)Refutation not found, incomplete strategy
% 37.82/5.99 % (3590802)------------------------------
% 37.82/5.99 % (3590802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/5.99 % (3590802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/5.99 % (3590802)CaDiCaL version: 2.1.3
% 37.82/5.99 % (3590802)Termination reason: Refutation not found, incomplete strategy
% 37.82/5.99 % (3590802)Time elapsed: 0.001 s
% 37.82/5.99 % (3590802)Peak memory usage: 11 MB
% 37.82/5.99 % (3590802)------------------------------
% 37.82/5.99 % (3590802)------------------------------
% 37.82/5.99 % (3590803)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 37.82/5.99 % (3590803)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=1285309882:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2948 on theBenchmark for (2948ds/763Mi)
% 37.82/5.99 % (3590803)Refutation not found, incomplete strategy
% 37.82/5.99 % (3590803)------------------------------
% 37.82/5.99 % (3590803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/5.99 % (3590803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/5.99 % (3590803)CaDiCaL version: 2.1.3
% 37.82/5.99 % (3590803)Termination reason: Refutation not found, incomplete strategy
% 37.82/5.99 % (3590803)Time elapsed: 0.002 s
% 37.82/5.99 % (3590803)Peak memory usage: 11 MB
% 37.82/5.99 % (3590803)Instructions burned: 1 (million)
% 37.82/5.99 % (3590803)------------------------------
% 37.82/5.99 % (3590803)------------------------------
% 37.82/5.99 % (3590805)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3482509247:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2948 on theBenchmark for (2948ds/1144Mi)
% 37.82/5.99 % (3590805)Refutation not found, incomplete strategy
% 37.82/5.99 % (3590805)------------------------------
% 37.82/5.99 % (3590805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/5.99 % (3590805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/5.99 % (3590805)CaDiCaL version: 2.1.3
% 37.82/5.99 % (3590805)Termination reason: Refutation not found, incomplete strategy
% 37.82/5.99 % (3590805)Time elapsed: 0.001 s
% 37.82/5.99 % (3590805)Peak memory usage: 11 MB
% 37.82/5.99 % (3590805)------------------------------
% 37.82/5.99 % (3590805)------------------------------
% 37.82/5.99 % (3590807)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 37.82/5.99 % (3590807)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=2322670805:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2948 on theBenchmark for (2948ds/52Mi)
% 37.82/5.99 % (3590809)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=4098174116:i=1724:fsr=off:rtra=on:fe=abstraction_2948 on theBenchmark for (2948ds/1724Mi)
% 37.82/5.99 % (3590811)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=3147634162:i=439:add=on:slsql=off:rtra=on:ntd=on_2948 on theBenchmark for (2948ds/439Mi)
% 37.82/5.99 % (3590807)Instruction limit reached!
% 37.82/5.99 % (3590807)------------------------------
% 37.82/5.99 % (3590807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/5.99 % (3590807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/5.99 % (3590807)CaDiCaL version: 2.1.3
% 37.82/5.99 % (3590807)Termination reason: Instruction limit
% 37.82/5.99 % (3590807)Termination phase: Saturation
% 37.82/5.99 % (3590807)Time elapsed: 0.035 s
% 37.82/5.99 % (3590807)Peak memory usage: 12 MB
% 37.82/5.99 % (3590807)Instructions burned: 53 (million)
% 37.82/5.99 % (3590815)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1585060788:i=6395:sd=1:rtra=on:ss=axioms_2947 on theBenchmark for (2947ds/6395Mi)
% 37.82/5.99 % (3590815)Refutation not found, incomplete strategy
% 37.82/5.99 % (3590815)------------------------------
% 37.82/5.99 % (3590815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/5.99 % (3590815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/5.99 % (3590815)CaDiCaL version: 2.1.3
% 37.82/5.99 % (3590815)Termination reason: Refutation not found, incomplete strategy
% 37.82/5.99 % (3590815)Time elapsed: 0.001 s
% 37.82/5.99 % (3590815)Peak memory usage: 11 MB
% 37.82/5.99 % (3590815)------------------------------
% 37.82/5.99 % (3590815)------------------------------
% 37.82/5.99 % (3590817)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 37.82/5.99 % (3590817)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=381678375:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2947 on theBenchmark for (2947ds/6762Mi)
% 37.82/5.99 % (3590817)Refutation not found, incomplete strategy
% 37.82/5.99 % (3590817)------------------------------
% 37.82/5.99 % (3590817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/5.99 % (3590817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/5.99 % (3590817)CaDiCaL version: 2.1.3
% 37.82/5.99 % (3590817)Termination reason: Refutation not found, incomplete strategy
% 37.82/5.99 % (3590817)Time elapsed: 0.001 s
% 37.82/5.99 % (3590817)Peak memory usage: 11 MB
% 37.82/5.99 % (3590817)------------------------------
% 37.82/5.99 % (3590817)------------------------------
% 37.82/5.99 % (3590819)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 37.82/5.99 % (3590819)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=3716108294:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2946 on theBenchmark for (2946ds/376Mi)
% 37.82/5.99 % (3590811)Instruction limit reached!
% 37.82/5.99 % (3590811)------------------------------
% 37.82/5.99 % (3590811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/5.99 % (3590811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/5.99 % (3590811)CaDiCaL version: 2.1.3
% 37.82/5.99 % (3590811)Termination reason: Instruction limit
% 37.82/5.99 % (3590811)Termination phase: Saturation
% 37.82/5.99 % (3590811)Time elapsed: 0.152 s
% 37.82/5.99 % (3590811)Peak memory usage: 12 MB
% 37.82/5.99 % (3590811)Instructions burned: 439 (million)
% 37.82/5.99 % (3590821)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=866163044:i=965:bd=all:ins=4:rtra=on_2946 on theBenchmark for (2946ds/965Mi)
% 37.82/5.99 % (3590791)Instruction limit reached!
% 37.82/5.99 % (3590791)------------------------------
% 37.82/5.99 % (3590791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/5.99 % (3590791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/5.99 % (3590791)CaDiCaL version: 2.1.3
% 37.82/5.99 % (3590791)Termination reason: Instruction limit
% 37.82/5.99 % (3590791)Termination phase: Saturation
% 37.82/5.99 % (3590791)Time elapsed: 0.438 s
% 37.82/5.99 % (3590791)Peak memory usage: 12 MB
% 37.82/5.99 % (3590791)Instructions burned: 592 (million)
% 37.82/5.99 % (3590823)lrs+10_1_sil=128000:si=on:urr=on:random_seed=613390446:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2945 on theBenchmark for (2945ds/5013Mi)
% 37.82/5.99 % (3590823)Refutation not found, incomplete strategy
% 37.82/5.99 % (3590823)------------------------------
% 37.82/5.99 % (3590823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/5.99 % (3590823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/5.99 % (3590823)CaDiCaL version: 2.1.3
% 37.82/5.99 % (3590823)Termination reason: Refutation not found, incomplete strategy
% 37.82/5.99 % (3590823)Time elapsed: 0.001 s
% 37.82/5.99 % (3590823)Peak memory usage: 12 MB
% 37.82/5.99 % (3590823)------------------------------
% 37.82/5.99 % (3590823)------------------------------
% 37.82/5.99 % (3590825)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=2748133284:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2945 on theBenchmark for (2945ds/1583Mi)
% 37.82/5.99 % (3590712) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3590392-3590712"...
% 37.82/5.99 % (3590819)Instruction limit reached!
% 37.82/5.99 % (3590819)------------------------------
% 37.82/5.99 % (3590819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/5.99 % (3590819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/5.99 % (3590819)CaDiCaL version: 2.1.3
% 37.82/5.99 % (3590819)Termination reason: Instruction limit
% 37.82/5.99 % (3590819)Termination phase: Saturation
% 37.82/5.99 % (3590819)Time elapsed: 0.326 s
% 37.82/5.99 % (3590819)Peak memory usage: 14 MB
% 37.82/5.99 % (3590819)Instructions burned: 377 (million)
% 37.82/5.99 % (3590712)...printing done.
% 37.82/5.99 % (3590712)Refutation found. Thanks to Tanya!
% 37.82/5.99 % SZS status Unsatisfiable for theBenchmark
% 37.82/5.99 % SZS output start Proof for theBenchmark
% See solution above
% 37.82/6.02 % (3590712)------------------------------
% 37.82/6.02 % (3590712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.82/6.02 % (3590712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.82/6.02 % (3590712)CaDiCaL version: 2.1.3
% 37.82/6.02 % (3590712)Termination reason: Refutation
% 37.82/6.02 % (3590712)Time elapsed: 2.193 s
% 37.82/6.02 % (3590712)Peak memory usage: 18 MB
% 37.82/6.02 % (3590712)Instructions burned: 2594 (million)
% 37.82/6.02 % (3590392)Success in time 5.688 s
% 37.82/6.02 % Vampire exiting
%------------------------------------------------------------------------------