%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA128^1 : 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 : n018.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 07:55:51 AM UTC 2026
% Result : Unsatisfiable 90.70s 13.22s
% Output : Refutation 90.70s
% 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 )
| ( b @ X0 @ X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ ( r @ X0 @ X3 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X3: $i,X2: $i,X1: $i,X0: $i] :
( ~ ( b @ X0 @ X1 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X2 @ X1 )
| ~ ( r @ X3 @ X0 )
| ~ ( r @ X3 @ X1 )
| ~ ( r @ X2 @ X3 ) ),
inference(rectify,[],[f6]) ).
thf(f9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( $true
!= ( r @ X2 @ X3 ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X3 @ X2 )
| ~ ( b @ X3 @ X0 )
| ~ ( b @ X1 @ X0 )
| ~ ( b @ X3 @ X1 )
| ~ ( b @ X2 @ X1 ) ),
inference(rectify,[],[f7]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f13,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( b @ X1 @ X0 )
| ( r @ X1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f15,plain,
! [X1: $i,X0: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f17,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X2: $i,X1: $i,X0: $i,X3: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X2 @ X3 ) )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( $true
!= ( r @ X3 @ X1 ) ) ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X2: $i,X1: $i,X0: $i,X3: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f17]) ).
thf(f22,plain,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( $true
!= ( r @ X3 @ X1 ) ) ),
inference(rectify,[],[f18]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f22]) ).
thf(f26,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(rectify,[],[f15]) ).
thf(f27,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f28,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X3 @ X1 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f30,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f31,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f32,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f33,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f36,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f31,f33]) ).
thf(f37,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f31,f33]) ).
thf(f38,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f31,f30]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X3 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f29,f31]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f43,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f29,f36]) ).
thf(f44,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f43]) ).
thf(f45,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f44,f36]) ).
thf(f48,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f45]) ).
thf(f49,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f51,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( s @ X0 )
= X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) ) ),
inference(constrained_superposition,[],[f49,f31]) ).
thf(f54,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f51]) ).
thf(f55,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) ),
inference(constrained_superposition,[],[f29,f37]) ).
thf(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f55]) ).
thf(f62,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f38,f30]) ).
thf(f64,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f38,f33]) ).
thf(f65,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f38,f33]) ).
thf(f66,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
!= ( b @ z @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(constrained_superposition,[],[f49,f38]) ).
thf(f72,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X1 ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f66]) ).
thf(f77,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) ) ),
inference(constrained_superposition,[],[f29,f64]) ).
thf(f79,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f77]) ).
thf(f86,definition,
( spl0_2
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f87,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f86]) ).
thf(f90,definition,
( spl0_3
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f91,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_3 ),
inference(avatar_component_clause,[],[f90]) ).
thf(f93,definition,
( spl0_4
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f94,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f93]) ).
thf(f96,definition,
( spl0_5
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f97,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_5 ),
inference(avatar_component_clause,[],[f96]) ).
thf(f101,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| spl0_5 ),
inference(constrained_superposition,[],[f97,f37]) ).
thf(f104,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_5 ),
inference(trivial_inequality_removal,[],[f101]) ).
thf(f109,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f79,f64]) ).
thf(f116,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(duplicate_literal_removal,[],[f109]) ).
thf(f117,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f116]) ).
thf(f128,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f44,f65]) ).
thf(f129,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f56,f65]) ).
thf(f130,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f29,f65]) ).
thf(f131,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f128]) ).
thf(f132,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f130]) ).
thf(f133,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f129]) ).
thf(f136,definition,
( spl0_6
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f137,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f136]) ).
thf(f139,definition,
( spl0_7
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f140,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f139]) ).
thf(f141,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f131,f139,f136]) ).
thf(f153,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f132,f37]) ).
thf(f156,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f153]) ).
thf(f160,definition,
( spl0_9
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f161,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f160]) ).
thf(f163,definition,
( spl0_10
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f164,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f163]) ).
thf(f165,plain,
( spl0_9
| spl0_10
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f156,f90,f163,f160]) ).
thf(f166,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_3 ),
inference(constrained_superposition,[],[f91,f36]) ).
thf(f168,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_3 ),
inference(trivial_inequality_removal,[],[f166]) ).
thf(f170,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f62,f30]) ).
thf(f172,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(extensionality_resolution,[],[f62,f33]) ).
thf(f173,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f62,f33]) ).
thf(f194,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) ),
inference(constrained_superposition,[],[f29,f172]) ).
thf(f199,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f194]) ).
thf(f206,definition,
( spl0_12
<=> ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f207,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f206]) ).
thf(f210,definition,
( spl0_13
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f211,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f210]) ).
thf(f217,definition,
( spl0_15
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f218,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f217]) ).
thf(f220,definition,
( spl0_16
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f221,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_16 ),
inference(avatar_component_clause,[],[f220]) ).
thf(f223,definition,
( spl0_17
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f224,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_17 ),
inference(avatar_component_clause,[],[f223]) ).
thf(f230,definition,
( spl0_19
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f231,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_19 ),
inference(avatar_component_clause,[],[f230]) ).
thf(f233,definition,
( spl0_20
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f234,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_20 ),
inference(avatar_component_clause,[],[f233]) ).
thf(f236,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_17 ),
inference(constrained_superposition,[],[f224,f37]) ).
thf(f238,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_17 ),
inference(trivial_inequality_removal,[],[f236]) ).
thf(f240,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f238,f223,f206]) ).
thf(f258,definition,
( spl0_21
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f259,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f258]) ).
thf(f261,definition,
( spl0_22
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f262,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f261]) ).
thf(f265,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_19 ),
inference(constrained_superposition,[],[f231,f65]) ).
thf(f267,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_19 ),
inference(constrained_superposition,[],[f231,f31]) ).
thf(f269,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_19 ),
inference(trivial_inequality_removal,[],[f265]) ).
thf(f270,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_19 ),
inference(trivial_inequality_removal,[],[f267]) ).
thf(f278,plain,
( spl0_13
| spl0_22
| spl0_19 ),
inference(avatar_split_clause,[],[f270,f230,f261,f210]) ).
thf(f279,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f269,f230,f210]) ).
thf(f311,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f199,f172]) ).
thf(f320,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(duplicate_literal_removal,[],[f311]) ).
thf(f321,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f320]) ).
thf(f339,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f28,f218]) ).
thf(f340,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f339]) ).
thf(f342,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f340,f28]) ).
thf(f344,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f342,f218]) ).
thf(f345,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f344]) ).
thf(f347,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f79,f173]) ).
thf(f349,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f44,f173]) ).
thf(f350,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f132,f173]) ).
thf(f351,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f56,f173]) ).
thf(f352,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) ),
inference(constrained_superposition,[],[f29,f173]) ).
thf(f353,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f351]) ).
thf(f354,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f350]) ).
thf(f357,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f349]) ).
thf(f358,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f347]) ).
thf(f359,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f352]) ).
thf(f361,definition,
( spl0_23
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f362,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f361]) ).
thf(f364,definition,
( spl0_24
<=> ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f365,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f364]) ).
thf(f366,plain,
( ~ spl0_17
| spl0_23
| spl0_24 ),
inference(avatar_split_clause,[],[f353,f364,f361,f223]) ).
thf(f371,definition,
( spl0_26
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f372,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f371]) ).
thf(f379,definition,
( spl0_28
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f380,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f379]) ).
thf(f381,plain,
( spl0_28
| spl0_26 ),
inference(avatar_split_clause,[],[f357,f371,f379]) ).
thf(f383,definition,
( spl0_29
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f384,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f383]) ).
thf(f385,plain,
( spl0_29
| spl0_21 ),
inference(avatar_split_clause,[],[f358,f258,f383]) ).
thf(f388,definition,
( spl0_30
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f389,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f388]) ).
thf(f391,definition,
( spl0_31
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f392,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f391]) ).
thf(f393,plain,
( ~ spl0_19
| spl0_30
| spl0_31 ),
inference(avatar_split_clause,[],[f354,f391,f388,f230]) ).
thf(f395,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f104,f96,f86]) ).
thf(f397,definition,
( spl0_32
<=> ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f398,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f397]) ).
thf(f399,plain,
( ~ spl0_5
| spl0_32
| spl0_10 ),
inference(avatar_split_clause,[],[f133,f163,f397,f96]) ).
thf(f400,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f168,f90,f139]) ).
thf(f403,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f28,f87]) ).
thf(f404,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f403]) ).
thf(f417,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f28,f211]) ).
thf(f418,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f417]) ).
thf(f430,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f161,f31]) ).
thf(f431,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f430]) ).
thf(f435,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f404,f87]) ).
thf(f438,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f435]) ).
thf(f451,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f431,f36]) ).
thf(f453,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f451]) ).
thf(f459,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f418,f211]) ).
thf(f460,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f459]) ).
thf(f463,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_13 ),
inference(constrained_superposition,[],[f460,f207]) ).
thf(f465,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f463]) ).
thf(f467,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f465,f87]) ).
thf(f468,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f467]) ).
thf(f511,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f359,f65]) ).
thf(f512,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f359,f37]) ).
thf(f517,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f512]) ).
thf(f518,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f511]) ).
thf(f521,definition,
( spl0_34
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f522,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f521]) ).
thf(f523,plain,
( spl0_34
| ~ spl0_16
| spl0_23 ),
inference(avatar_split_clause,[],[f517,f361,f220,f521]) ).
thf(f525,definition,
( spl0_35
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f526,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f525]) ).
thf(f527,plain,
( spl0_30
| ~ spl0_20
| spl0_35 ),
inference(avatar_split_clause,[],[f518,f525,f233,f388]) ).
thf(f616,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f28,f362]) ).
thf(f619,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f616]) ).
thf(f689,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ X1 )
= X0 ) ),
inference(constrained_superposition,[],[f54,f31]) ).
thf(f690,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X1 )
= X0 ) ),
inference(trivial_inequality_removal,[],[f689]) ).
thf(f697,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( X1 = X2 )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ z ) ) ),
inference(constrained_superposition,[],[f42,f36]) ).
thf(f704,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ X2 @ X1 ) )
| ( X1 = X2 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) ) ),
inference(constrained_superposition,[],[f42,f37]) ).
thf(f710,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ X2 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( X1 = X2 ) ),
inference(trivial_inequality_removal,[],[f704]) ).
thf(f712,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
= ( r @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( X1 = X2 )
| ( $true
!= ( b @ z @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f697]) ).
thf(f714,plain,
! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ),
inference(constrained_superposition,[],[f690,f31]) ).
thf(f716,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) ) ),
inference(duplicate_literal_removal,[],[f714]) ).
thf(f717,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ z @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f716]) ).
thf(f737,definition,
( spl0_37
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f738,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f737]) ).
thf(f743,definition,
( spl0_38
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f744,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f743]) ).
thf(f746,definition,
( spl0_39
<=> ! [X2: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f747,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f746]) ).
thf(f750,definition,
( spl0_40
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f751,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f750]) ).
thf(f752,plain,
( spl0_40
| spl0_39
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f619,f361,f746,f750]) ).
thf(f753,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_26 ),
inference(avatar_component_clause,[],[f371]) ).
thf(f756,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_16 ),
inference(constrained_superposition,[],[f221,f36]) ).
thf(f759,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_16 ),
inference(trivial_inequality_removal,[],[f756]) ).
thf(f761,plain,
( spl0_26
| spl0_16 ),
inference(avatar_split_clause,[],[f759,f220,f371]) ).
thf(f762,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f28,f372]) ).
thf(f763,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f762]) ).
thf(f764,plain,
( spl0_39
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f763,f371,f746]) ).
thf(f766,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f28,f140]) ).
thf(f768,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f766]) ).
thf(f777,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f365,f38]) ).
thf(f778,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f365,f62]) ).
thf(f784,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f777]) ).
thf(f786,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f778]) ).
thf(f793,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f522,f31]) ).
thf(f795,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f793]) ).
thf(f831,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_13 ),
inference(avatar_component_clause,[],[f210]) ).
thf(f837,definition,
( spl0_43
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f838,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f837]) ).
thf(f850,plain,
( spl0_43
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f768,f139,f837]) ).
thf(f862,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_9
| spl0_13 ),
inference(constrained_superposition,[],[f831,f453]) ).
thf(f868,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_9
| spl0_13 ),
inference(trivial_inequality_removal,[],[f862]) ).
thf(f873,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_9
| spl0_13
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f868,f753]) ).
thf(f877,plain,
( spl0_22
| ~ spl0_9
| spl0_13
| spl0_26 ),
inference(avatar_split_clause,[],[f873,f371,f210,f160,f261]) ).
thf(f884,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f28,f744]) ).
thf(f885,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f884]) ).
thf(f887,plain,
( spl0_43
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f885,f743,f837]) ).
thf(f968,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f795,f31]) ).
thf(f971,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f968]) ).
thf(f990,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f784,f37]) ).
thf(f992,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f990]) ).
thf(f1012,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ X2 ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f28,f992]) ).
thf(f1016,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X2 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1012]) ).
thf(f1025,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f786,f37]) ).
thf(f1028,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1025]) ).
thf(f1043,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( z = X0 ) )
| ~ spl0_24
| ~ spl0_39 ),
inference(constrained_superposition,[],[f747,f1028]) ).
thf(f1048,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_24
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f1043]) ).
thf(f1181,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f28,f389]) ).
thf(f1183,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f1181]) ).
thf(f1394,definition,
( spl0_51
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f1395,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f1394]) ).
thf(f1397,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_13
| ~ spl0_43 ),
inference(constrained_superposition,[],[f838,f211]) ).
thf(f1398,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_13
| ~ spl0_39 ),
inference(constrained_superposition,[],[f747,f211]) ).
thf(f1399,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f28,f211]) ).
thf(f1400,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_13
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f1398]) ).
thf(f1401,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f1399]) ).
thf(f1402,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_13
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f1397]) ).
thf(f1403,plain,
( spl0_51
| ~ spl0_13
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1400,f746,f210,f1394]) ).
thf(f1425,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_13
| ~ spl0_15
| ~ spl0_43 ),
inference(constrained_superposition,[],[f1402,f218]) ).
thf(f1445,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_13
| ~ spl0_15
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f1425]) ).
thf(f1453,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_13
| ~ spl0_15
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1445,f438]) ).
thf(f1621,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f1016,f1028]) ).
thf(f1626,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f1016,f992]) ).
thf(f1643,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_24 ),
inference(duplicate_literal_removal,[],[f1621]) ).
thf(f1644,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1643]) ).
thf(f1661,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_24 ),
inference(duplicate_literal_removal,[],[f1626]) ).
thf(f1662,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1661]) ).
thf(f1672,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1644,f30]) ).
thf(f1716,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ X1 ) ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_15
| ~ spl0_24 ),
inference(constrained_superposition,[],[f1662,f218]) ).
thf(f1725,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_13
| ~ spl0_24 ),
inference(constrained_superposition,[],[f1662,f211]) ).
thf(f1729,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ X1 ) ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) ) )
| ~ spl0_15
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1716]) ).
thf(f1730,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_13
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1725]) ).
thf(f1746,definition,
( spl0_52
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
thf(f1747,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f1746]) ).
thf(f1761,plain,
( spl0_52
| ~ spl0_13
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1730,f364,f210,f1746]) ).
thf(f1773,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_13
| ~ spl0_24 ),
inference(constrained_superposition,[],[f1672,f211]) ).
thf(f1784,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_13
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1773]) ).
thf(f1871,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ),
inference(constrained_superposition,[],[f72,f36]) ).
thf(f1873,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f1871]) ).
thf(f1880,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( X0 = X1 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f1873,f37]) ).
thf(f1883,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f1880]) ).
thf(f2058,definition,
( spl0_53
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f2059,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f2058]) ).
thf(f2062,definition,
( spl0_54
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X1 ) ) ) )
| ( z = X1 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f2063,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ X1 ) ) ) )
| ( ( s @ z )
= X0 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X1 ) ) ) ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f2062]) ).
thf(f2072,definition,
( spl0_56
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f2073,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f2072]) ).
thf(f2175,plain,
! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f712,f173]) ).
thf(f2176,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( ( s @ z )
= X1 )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) ),
inference(constrained_superposition,[],[f712,f65]) ).
thf(f2182,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f2176]) ).
thf(f2184,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f2175]) ).
thf(f2252,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(extensionality_resolution,[],[f170,f33]) ).
thf(f2681,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( b @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f710,f33]) ).
thf(f2684,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ X1 @ z )
= $true )
| ( $true != $true )
| ( z = X1 )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(constrained_superposition,[],[f710,f36]) ).
thf(f2700,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f2684]) ).
thf(f2702,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ),
inference(forward_subsumption_resolution,[],[f2681,f36]) ).
thf(f2707,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(forward_subsumption_resolution,[],[f2700,f31]) ).
thf(f2708,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f2707,f31]) ).
thf(f2710,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f2707,f64]) ).
thf(f2712,plain,
! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f2707,f172]) ).
thf(f2716,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( z = X0 ) ),
inference(trivial_inequality_removal,[],[f2708]) ).
thf(f2719,plain,
! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f2710]) ).
thf(f2720,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f2712]) ).
thf(f2747,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( z = X0 )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_24
| ~ spl0_39 ),
inference(constrained_superposition,[],[f1048,f2716]) ).
thf(f2773,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_24
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f2747]) ).
thf(f2777,definition,
( spl0_60
<=> ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
thf(f2778,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f2777]) ).
thf(f2796,definition,
( spl0_64
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
thf(f2797,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f2796]) ).
thf(f2798,plain,
( spl0_12
| spl0_60
| spl0_64
| ~ spl0_24
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f2773,f746,f364,f2796,f2777,f206]) ).
thf(f2806,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f28,f2778]) ).
thf(f2817,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f2806]) ).
thf(f2831,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f2817,f28]) ).
thf(f2841,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( z
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_60 ),
inference(constrained_superposition,[],[f2831,f87]) ).
thf(f2845,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_2
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f2841]) ).
thf(f2854,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_2
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f2845,f30]) ).
thf(f2857,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_2
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f2854,f33]) ).
thf(f3393,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f56,f2252]) ).
thf(f3398,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(constrained_superposition,[],[f29,f2252]) ).
thf(f3413,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f3393]) ).
thf(f3415,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f3398]) ).
thf(f3422,definition,
( spl0_65
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
thf(f3423,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_65 ),
inference(avatar_component_clause,[],[f3422]) ).
thf(f3425,definition,
( spl0_66
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f3426,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_66 ),
inference(avatar_component_clause,[],[f3425]) ).
thf(f3432,definition,
( spl0_68
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f3433,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_68 ),
inference(avatar_component_clause,[],[f3432]) ).
thf(f3438,definition,
( spl0_70
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
thf(f3439,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_70 ),
inference(avatar_component_clause,[],[f3438]) ).
thf(f3442,definition,
( spl0_71
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f3443,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f3442]) ).
thf(f3449,definition,
( spl0_73
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f3450,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f3449]) ).
thf(f3454,definition,
( spl0_74
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
thf(f3455,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_74 ),
inference(avatar_component_clause,[],[f3454]) ).
thf(f3462,definition,
( spl0_76
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
thf(f3463,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f3462]) ).
thf(f3464,plain,
( spl0_76
| spl0_73 ),
inference(avatar_split_clause,[],[f3413,f3449,f3462]) ).
thf(f3469,definition,
( spl0_78
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
thf(f3470,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f3469]) ).
thf(f3475,definition,
( spl0_79
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
thf(f3476,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_79 ),
inference(avatar_component_clause,[],[f3475]) ).
thf(f3478,definition,
( spl0_80
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f3479,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f3478]) ).
thf(f3486,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_68 ),
inference(constrained_superposition,[],[f3433,f36]) ).
thf(f3489,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_68 ),
inference(trivial_inequality_removal,[],[f3486]) ).
thf(f3491,plain,
( spl0_78
| spl0_68 ),
inference(avatar_split_clause,[],[f3489,f3432,f3469]) ).
thf(f3518,definition,
( spl0_82
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
thf(f3519,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f3518]) ).
thf(f3521,definition,
( spl0_83
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f3522,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f3521]) ).
thf(f3530,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f173,f3522]) ).
thf(f3856,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_21 ),
inference(avatar_component_clause,[],[f258]) ).
thf(f3902,definition,
( spl0_85
<=> ! [X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ z ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
thf(f3903,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f3902]) ).
thf(f3945,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f3530,f32]) ).
thf(f4062,plain,
( $false
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f3945,f27]) ).
thf(f4063,plain,
~ spl0_83,
inference(avatar_contradiction_clause,[],[f4062]) ).
thf(f4164,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_15
| ~ spl0_78 ),
inference(constrained_superposition,[],[f342,f3470]) ).
thf(f4171,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_15
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f4164]) ).
thf(f4194,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_74 ),
inference(constrained_superposition,[],[f3455,f38]) ).
thf(f4197,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_74 ),
inference(trivial_inequality_removal,[],[f4194]) ).
thf(f4201,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_74 ),
inference(forward_subsumption_resolution,[],[f4197,f33]) ).
thf(f4203,plain,
( $false
| ~ spl0_2
| ~ spl0_13
| ~ spl0_15
| ~ spl0_43
| spl0_74 ),
inference(forward_subsumption_resolution,[],[f4201,f1453]) ).
thf(f4204,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_15
| ~ spl0_43
| spl0_74 ),
inference(avatar_contradiction_clause,[],[f4203]) ).
thf(f4218,definition,
( spl0_103
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
thf(f4219,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f4218]) ).
thf(f4221,definition,
( spl0_104
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
thf(f4222,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f4221]) ).
thf(f4231,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_13
| ~ spl0_24
| ~ spl0_103 ),
inference(constrained_superposition,[],[f1784,f4219]) ).
thf(f4365,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_13
| ~ spl0_24
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f4231]) ).
thf(f4384,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_13
| ~ spl0_24
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f4365,f33]) ).
thf(f4398,definition,
( spl0_107
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
thf(f4399,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f4398]) ).
thf(f4401,plain,
( spl0_73
| ~ spl0_13
| ~ spl0_24
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f4384,f4218,f364,f210,f3449]) ).
thf(f4453,definition,
( spl0_108
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
thf(f4454,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f4453]) ).
thf(f4459,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_66 ),
inference(constrained_superposition,[],[f3426,f31]) ).
thf(f4463,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_66 ),
inference(trivial_inequality_removal,[],[f4459]) ).
thf(f4467,plain,
( spl0_83
| spl0_71
| spl0_66 ),
inference(avatar_split_clause,[],[f4463,f3425,f3442,f3521]) ).
thf(f4478,definition,
( spl0_109
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
thf(f4479,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f4478]) ).
thf(f4484,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_24
| ~ spl0_80 ),
inference(constrained_superposition,[],[f1729,f3479]) ).
thf(f4551,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_60
| ~ spl0_80 ),
inference(constrained_superposition,[],[f2831,f3479]) ).
thf(f4574,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_24
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f4484]) ).
thf(f4591,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) )
| ~ spl0_60
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f4551]) ).
thf(f4649,definition,
( spl0_114
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
thf(f4650,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f4649]) ).
thf(f4651,plain,
( spl0_22
| spl0_114
| spl0_73
| ~ spl0_15
| ~ spl0_24
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f4574,f3478,f364,f217,f3449,f4649,f261]) ).
thf(f4653,definition,
( spl0_115
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
thf(f4654,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f4653]) ).
thf(f4666,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) )
| ~ spl0_60
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f4591,f33]) ).
thf(f4672,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_71 ),
inference(avatar_component_clause,[],[f3442]) ).
thf(f4705,definition,
( spl0_121
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
thf(f4706,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f4705]) ).
thf(f4707,plain,
( spl0_121
| spl0_83
| ~ spl0_60
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f4666,f3478,f2777,f3521,f4705]) ).
thf(f4723,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_30
| spl0_71 ),
inference(constrained_superposition,[],[f4672,f389]) ).
thf(f4728,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_71 ),
inference(constrained_superposition,[],[f4672,f1883]) ).
thf(f4729,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_34
| spl0_71 ),
inference(constrained_superposition,[],[f4672,f971]) ).
thf(f4733,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_34
| spl0_71 ),
inference(trivial_inequality_removal,[],[f4729]) ).
thf(f4734,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_71 ),
inference(trivial_inequality_removal,[],[f4728]) ).
thf(f4737,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_30
| spl0_71 ),
inference(trivial_inequality_removal,[],[f4723]) ).
thf(f4743,plain,
( spl0_103
| ~ spl0_30
| spl0_71 ),
inference(avatar_split_clause,[],[f4737,f3442,f388,f4218]) ).
thf(f4773,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f64,f262]) ).
thf(f4907,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f4773,f27]) ).
thf(f4922,definition,
( spl0_124
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
thf(f4923,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f4922]) ).
thf(f4926,definition,
( spl0_125
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
thf(f4927,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f4926]) ).
thf(f4937,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f4907,f32]) ).
thf(f4938,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f4937]) ).
thf(f4955,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_60
| ~ spl0_103 ),
inference(constrained_superposition,[],[f2857,f4219]) ).
thf(f4968,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_103 ),
inference(constrained_superposition,[],[f345,f4219]) ).
thf(f4978,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_60
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f4955]) ).
thf(f4998,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f4968]) ).
thf(f5009,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_78
| ~ spl0_80 ),
inference(constrained_superposition,[],[f4171,f3479]) ).
thf(f5019,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_78
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f5009]) ).
thf(f5028,plain,
( spl0_115
| ~ spl0_15
| ~ spl0_78
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f5019,f3478,f3469,f217,f4653]) ).
thf(f5035,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_34
| spl0_71 ),
inference(forward_subsumption_resolution,[],[f4733,f33]) ).
thf(f5043,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_13
| ~ spl0_15
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f4998,f211]) ).
thf(f5048,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_60
| spl0_71
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f4734,f4978]) ).
thf(f5058,plain,
( spl0_83
| spl0_78
| ~ spl0_34
| spl0_71 ),
inference(avatar_split_clause,[],[f5035,f3442,f521,f3469,f3521]) ).
thf(f5063,plain,
( spl0_78
| ~ spl0_13
| ~ spl0_15
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f5043,f4218,f217,f210,f3469]) ).
thf(f5064,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| spl0_26
| ~ spl0_60
| spl0_71
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f5048,f753]) ).
thf(f5068,plain,
( spl0_22
| spl0_78
| ~ spl0_2
| spl0_26
| ~ spl0_60
| spl0_71
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f5064,f4218,f3442,f2777,f371,f86,f3469,f261]) ).
thf(f5070,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_15
| ~ spl0_78 ),
inference(constrained_superposition,[],[f342,f3470]) ).
thf(f5072,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_15
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f5070]) ).
thf(f5088,plain,
( $false
| ~ spl0_114
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[],[f4650,f4654]) ).
thf(f5089,plain,
( ~ spl0_114
| ~ spl0_115 ),
inference(avatar_contradiction_clause,[],[f5088]) ).
thf(f5090,plain,
( spl0_38
| spl0_39
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1183,f388,f746,f743]) ).
thf(f5098,definition,
( spl0_126
<=> ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
thf(f5099,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f5098]) ).
thf(f5101,definition,
( spl0_127
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
thf(f5102,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f5101]) ).
thf(f5103,plain,
( ~ spl0_16
| spl0_126
| spl0_127 ),
inference(avatar_split_clause,[],[f2184,f5101,f5098,f220]) ).
thf(f5134,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_7 ),
inference(avatar_component_clause,[],[f139]) ).
thf(f5138,definition,
( spl0_130
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
thf(f5139,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f5138]) ).
thf(f5141,definition,
( spl0_131
<=> ! [X1: $i] :
( ( ( s @ z )
= X1 )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
thf(f5142,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X1 ) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f5141]) ).
thf(f5143,plain,
( spl0_130
| spl0_131
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f2182,f90,f5141,f5138]) ).
thf(f5145,definition,
( spl0_132
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
thf(f5146,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f5145]) ).
thf(f5153,plain,
( spl0_43
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1401,f210,f837]) ).
thf(f5182,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_70 ),
inference(constrained_superposition,[],[f3439,f37]) ).
thf(f5185,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_70 ),
inference(trivial_inequality_removal,[],[f5182]) ).
thf(f5194,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f28,f259]) ).
thf(f5199,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f5194]) ).
thf(f5201,plain,
( spl0_39
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f5199,f258,f746]) ).
thf(f5217,plain,
( ( z
= ( s @ z ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_54
| ~ spl0_103 ),
inference(constrained_superposition,[],[f2063,f4219]) ).
thf(f5222,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_103 ),
inference(constrained_superposition,[],[f28,f4219]) ).
thf(f5224,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_54
| ~ spl0_103 ),
inference(duplicate_literal_removal,[],[f5217]) ).
thf(f5225,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_54
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f5224]) ).
thf(f5230,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f5222]) ).
thf(f5236,plain,
( spl0_43
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f5230,f4218,f837]) ).
thf(f5238,plain,
( spl0_73
| spl0_70 ),
inference(avatar_split_clause,[],[f5185,f3438,f3449]) ).
thf(f5254,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_54
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f5225,f33]) ).
thf(f5261,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_7
| ~ spl0_54
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f5254,f5134]) ).
thf(f5264,plain,
( spl0_73
| spl0_7
| ~ spl0_54
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f5261,f4218,f2062,f139,f3449]) ).
thf(f5281,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_51
| ~ spl0_71 ),
inference(constrained_superposition,[],[f1395,f3443]) ).
thf(f5284,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f28,f3443]) ).
thf(f5286,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f5284]) ).
thf(f5288,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_51
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f5281]) ).
thf(f5289,plain,
( spl0_39
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f5286,f3442,f746]) ).
thf(f5290,plain,
( $false
| ~ spl0_51
| ~ spl0_71
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f5288,f4219]) ).
thf(f5291,plain,
( ~ spl0_51
| ~ spl0_71
| ~ spl0_103 ),
inference(avatar_contradiction_clause,[],[f5290]) ).
thf(f5347,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_78
| ~ spl0_108 ),
inference(constrained_superposition,[],[f4454,f3470]) ).
thf(f5355,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_78
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f5347]) ).
thf(f5358,plain,
( $false
| ~ spl0_26
| ~ spl0_78
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f5355,f372]) ).
thf(f5359,plain,
( ~ spl0_26
| ~ spl0_78
| ~ spl0_108 ),
inference(avatar_contradiction_clause,[],[f5358]) ).
thf(f5364,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_13
| ~ spl0_43 ),
inference(constrained_superposition,[],[f838,f211]) ).
thf(f5365,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_43
| ~ spl0_103 ),
inference(constrained_superposition,[],[f838,f4219]) ).
thf(f5368,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_13
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f5364]) ).
thf(f5372,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_43
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f5365]) ).
thf(f5374,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_13
| ~ spl0_15
| ~ spl0_43 ),
inference(constrained_superposition,[],[f5368,f218]) ).
thf(f5376,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_13
| ~ spl0_43 ),
inference(constrained_superposition,[],[f5368,f1883]) ).
thf(f5380,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_13
| ~ spl0_15
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f5374]) ).
thf(f5381,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_13
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f5376]) ).
thf(f5382,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_13
| ~ spl0_15
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f5380,f438]) ).
thf(f5390,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_43
| ~ spl0_73
| ~ spl0_103 ),
inference(constrained_superposition,[],[f5372,f3450]) ).
thf(f5392,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_43
| ~ spl0_73
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f5390]) ).
thf(f5397,plain,
( $false
| ~ spl0_2
| ~ spl0_43
| ~ spl0_73
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f5392,f87]) ).
thf(f5398,plain,
( ~ spl0_2
| ~ spl0_43
| ~ spl0_73
| ~ spl0_103 ),
inference(avatar_contradiction_clause,[],[f5397]) ).
thf(f5428,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_15
| ~ spl0_39 ),
inference(constrained_superposition,[],[f747,f218]) ).
thf(f5433,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_15
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f5428]) ).
thf(f5485,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f3415,f2252]) ).
thf(f5495,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(duplicate_literal_removal,[],[f5485]) ).
thf(f5496,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f5495]) ).
thf(f5545,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f5496,f64]) ).
thf(f5553,plain,
! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f5545]) ).
thf(f5722,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_23
| spl0_71 ),
inference(constrained_superposition,[],[f4672,f362]) ).
thf(f5723,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_23
| ~ spl0_51 ),
inference(constrained_superposition,[],[f1395,f362]) ).
thf(f5739,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_23
| spl0_71 ),
inference(trivial_inequality_removal,[],[f5722]) ).
thf(f5742,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_23
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f5723]) ).
thf(f5747,plain,
( spl0_73
| ~ spl0_23
| spl0_71 ),
inference(avatar_split_clause,[],[f5739,f3442,f361,f3449]) ).
thf(f5748,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_10
| ~ spl0_23
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f5742,f164]) ).
thf(f5752,plain,
( spl0_40
| ~ spl0_10
| ~ spl0_23
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f5748,f1394,f361,f163,f750]) ).
thf(f5755,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_13
| ~ spl0_15
| ~ spl0_43
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f5146,f5382]) ).
thf(f5765,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_13
| ~ spl0_15
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f5553,f5382]) ).
thf(f5766,plain,
( spl0_80
| ~ spl0_2
| ~ spl0_13
| ~ spl0_15
| ~ spl0_43
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f5755,f5145,f837,f217,f210,f86,f3478]) ).
thf(f5767,plain,
( ~ spl0_74
| spl0_80
| ~ spl0_79
| ~ spl0_2
| ~ spl0_13
| ~ spl0_15
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f5765,f837,f217,f210,f86,f3475,f3478,f3454]) ).
thf(f5796,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_12 ),
inference(avatar_component_clause,[],[f206]) ).
thf(f5824,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_15
| ~ spl0_39
| ~ spl0_80 ),
inference(constrained_superposition,[],[f5433,f3479]) ).
thf(f5825,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_80 ),
inference(constrained_superposition,[],[f342,f3479]) ).
thf(f5838,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_15
| ~ spl0_39
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f5824]) ).
thf(f5839,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f5825]) ).
thf(f5843,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X1 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ X1 ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X1 ) ) ) ) @ z ) ) )
| ~ spl0_15
| ~ spl0_80 ),
inference(constrained_superposition,[],[f5839,f1883]) ).
thf(f5844,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_40
| ~ spl0_80 ),
inference(constrained_superposition,[],[f5839,f751]) ).
thf(f5850,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_40
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f5844]) ).
thf(f5852,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ X1 ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X1 ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X1 ) ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f5843]) ).
thf(f5854,plain,
( $false
| ~ spl0_15
| ~ spl0_40
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f5850,f751]) ).
thf(f5855,plain,
( ~ spl0_15
| ~ spl0_40
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f5854]) ).
thf(f5857,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_103 ),
inference(avatar_component_clause,[],[f4218]) ).
thf(f5944,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_104 ),
inference(constrained_superposition,[],[f172,f4222]) ).
thf(f6071,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f5944,f27]) ).
thf(f6090,definition,
( spl0_145
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
thf(f6091,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f6090]) ).
thf(f6105,definition,
( spl0_146
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
thf(f6106,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f6105]) ).
thf(f6108,definition,
( spl0_147
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
thf(f6109,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_147 ),
inference(avatar_component_clause,[],[f6108]) ).
thf(f6114,plain,
( $false
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f6071,f32]) ).
thf(f6115,plain,
~ spl0_104,
inference(avatar_contradiction_clause,[],[f6114]) ).
thf(f6118,definition,
( spl0_148
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
thf(f6119,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(avatar_component_clause,[],[f6118]) ).
thf(f6121,definition,
( spl0_149
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
thf(f6122,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f6121]) ).
thf(f6129,definition,
( spl0_151
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
thf(f6130,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_151 ),
inference(avatar_component_clause,[],[f6129]) ).
thf(f6150,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ X1 ) ) )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X1 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X1 ) ) ) ) @ z ) ) )
| ~ spl0_15
| ~ spl0_78
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f5852,f5072]) ).
thf(f6157,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ X1 ) ) )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X1 ) ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_78
| ~ spl0_80
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[],[f6150,f4654]) ).
thf(f6168,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f365,f38]) ).
thf(f6169,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f365,f62]) ).
thf(f6174,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f6169]) ).
thf(f6178,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f6168]) ).
thf(f6202,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_121 ),
inference(constrained_superposition,[],[f4706,f218]) ).
thf(f6205,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f6202]) ).
thf(f6440,definition,
( spl0_155
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
thf(f6441,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f6440]) ).
thf(f6470,definition,
( spl0_157
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
thf(f6471,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f6470]) ).
thf(f6845,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ X2 ) ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f28,f2778]) ).
thf(f6853,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f6845]) ).
thf(f6862,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
!= ( r @ X0 @ X2 ) ) )
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f6853,f28]) ).
thf(f6868,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f6178,f37]) ).
thf(f6870,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f6868]) ).
thf(f6886,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X2 ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f28,f6870]) ).
thf(f6890,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f6886]) ).
thf(f6918,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f6174,f37]) ).
thf(f6920,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f6918]) ).
thf(f7075,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_71
| ~ spl0_127 ),
inference(constrained_superposition,[],[f4672,f5102]) ).
thf(f7087,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_71
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f7075]) ).
thf(f7455,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f6890,f6920]) ).
thf(f7478,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_24 ),
inference(duplicate_literal_removal,[],[f7455]) ).
thf(f7479,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f7478]) ).
thf(f7491,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f7479,f30]) ).
thf(f7542,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X1 ) ) ) )
| ( ( s @ z )
= X0 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f7491,f1883]) ).
thf(f7553,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X1 ) ) ) )
| ( z = X1 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f7542]) ).
thf(f7557,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ X1 ) ) ) )
| ( z = X1 ) )
| ~ spl0_24
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f7553,f753]) ).
thf(f7558,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X1 ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ X1 ) ) ) )
| ( ( s @ z )
= X0 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| spl0_12
| ~ spl0_24
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f7557,f5796]) ).
thf(f7559,plain,
( spl0_54
| spl0_12
| ~ spl0_24
| spl0_26 ),
inference(avatar_split_clause,[],[f7558,f371,f364,f206,f2062]) ).
thf(f7627,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X1 ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ X1 ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_15
| ~ spl0_78
| ~ spl0_80
| ~ spl0_115 ),
inference(constrained_superposition,[],[f6157,f3479]) ).
thf(f7635,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X1 ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ X1 ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_15
| ~ spl0_78
| ~ spl0_80
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f7627]) ).
thf(f7644,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ X1 ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_78
| ~ spl0_80
| ~ spl0_115 ),
inference(constrained_superposition,[],[f5839,f7635]) ).
thf(f7652,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ X1 ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_15
| ~ spl0_78
| ~ spl0_80
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f7644]) ).
thf(f7656,plain,
( ! [X0: $i,X1: $i] :
( ( s @ ( s @ ( s @ X1 ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_15
| ~ spl0_73
| ~ spl0_78
| ~ spl0_80
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[],[f7652,f3450]) ).
thf(f7707,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_15
| ~ spl0_73
| ~ spl0_78
| ~ spl0_80
| ~ spl0_115 ),
inference(constrained_superposition,[],[f3450,f7656]) ).
thf(f8215,definition,
( spl0_186
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f8216,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f8215]) ).
thf(f8234,plain,
( spl0_40
| ~ spl0_15
| ~ spl0_73
| ~ spl0_78
| ~ spl0_80
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f7707,f4653,f3478,f3469,f3449,f217,f750]) ).
thf(f8264,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_78 ),
inference(avatar_component_clause,[],[f3469]) ).
thf(f8274,plain,
( spl0_78
| spl0_71
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f7087,f5101,f3442,f3469]) ).
thf(f8291,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_109 ),
inference(avatar_component_clause,[],[f4478]) ).
thf(f8292,plain,
( ~ spl0_109
| spl0_114
| ~ spl0_15
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f6205,f4705,f217,f4649,f4478]) ).
thf(f8303,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_109 ),
inference(constrained_superposition,[],[f8291,f1883]) ).
thf(f8304,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_60
| spl0_109 ),
inference(constrained_superposition,[],[f8291,f2778]) ).
thf(f8306,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_109 ),
inference(trivial_inequality_removal,[],[f8303]) ).
thf(f8309,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_60
| spl0_109 ),
inference(trivial_inequality_removal,[],[f8304]) ).
thf(f8310,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_78
| spl0_109 ),
inference(forward_subsumption_resolution,[],[f8306,f8264]) ).
thf(f8314,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_60
| spl0_109 ),
inference(forward_subsumption_resolution,[],[f8309,f33]) ).
thf(f8315,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_26
| spl0_78
| spl0_109 ),
inference(forward_subsumption_resolution,[],[f8310,f753]) ).
thf(f8316,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_60
| spl0_78
| spl0_109 ),
inference(forward_subsumption_resolution,[],[f8314,f8264]) ).
thf(f8317,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_12
| spl0_26
| spl0_78
| spl0_109 ),
inference(forward_subsumption_resolution,[],[f8315,f5796]) ).
thf(f8318,plain,
( spl0_83
| ~ spl0_60
| spl0_78
| spl0_109 ),
inference(avatar_split_clause,[],[f8316,f4478,f3469,f2777,f3521]) ).
thf(f8319,plain,
( spl0_22
| spl0_12
| spl0_26
| spl0_78
| spl0_109 ),
inference(avatar_split_clause,[],[f8317,f4478,f3469,f371,f206,f261]) ).
thf(f8337,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_7
| ~ spl0_43 ),
inference(constrained_superposition,[],[f838,f140]) ).
thf(f8341,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f8337]) ).
thf(f8347,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_15
| ~ spl0_114 ),
inference(constrained_superposition,[],[f342,f4650]) ).
thf(f8349,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_15
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f8347]) ).
thf(f8380,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_21
| ~ spl0_53 ),
inference(constrained_superposition,[],[f2059,f259]) ).
thf(f8390,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_21
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f8380]) ).
thf(f8395,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_39
| ~ spl0_109 ),
inference(constrained_superposition,[],[f747,f4479]) ).
thf(f8403,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_39
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f8395]) ).
thf(f8405,plain,
( spl0_108
| ~ spl0_39
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f8403,f4478,f746,f4453]) ).
thf(f8425,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_53
| ~ spl0_71 ),
inference(constrained_superposition,[],[f2059,f3443]) ).
thf(f8433,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_53
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f8425]) ).
thf(f8466,definition,
( spl0_195
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
thf(f8467,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f8466]) ).
thf(f8538,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_126 ),
inference(constrained_superposition,[],[f5099,f31]) ).
thf(f8539,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f8538]) ).
thf(f8541,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_103
| ~ spl0_130 ),
inference(constrained_superposition,[],[f5857,f5139]) ).
thf(f8554,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_103
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f8541]) ).
thf(f8566,plain,
( $false
| spl0_78
| spl0_103
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f8554,f8264]) ).
thf(f8567,plain,
( spl0_78
| spl0_103
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f8566]) ).
thf(f8639,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_53
| ~ spl0_71 ),
inference(constrained_superposition,[],[f8433,f1883]) ).
thf(f8643,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_53
| ~ spl0_71 ),
inference(duplicate_literal_removal,[],[f8639]) ).
thf(f8644,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_53
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f8643]) ).
thf(f8645,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_53
| ~ spl0_71
| spl0_78 ),
inference(forward_subsumption_resolution,[],[f8644,f8264]) ).
thf(f8646,plain,
( spl0_73
| spl0_85
| ~ spl0_53
| ~ spl0_71
| spl0_78 ),
inference(avatar_split_clause,[],[f8645,f3469,f3442,f2058,f3902,f3449]) ).
thf(f8657,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_15
| ~ spl0_195 ),
inference(constrained_superposition,[],[f8467,f218]) ).
thf(f8666,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_15
| ~ spl0_195 ),
inference(duplicate_literal_removal,[],[f8657]) ).
thf(f8667,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f8666]) ).
thf(f8670,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_195 ),
inference(constrained_superposition,[],[f342,f8667]) ).
thf(f8673,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_15
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f8670]) ).
thf(f8686,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_15
| ~ spl0_39
| ~ spl0_107 ),
inference(constrained_superposition,[],[f5433,f4399]) ).
thf(f8700,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_39
| ~ spl0_107 ),
inference(duplicate_literal_removal,[],[f8686]) ).
thf(f8701,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_15
| ~ spl0_39
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f8700]) ).
thf(f8904,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ ( s @ z ) ) )
| spl0_83 ),
inference(avatar_component_clause,[],[f3521]) ).
thf(f8916,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| spl0_83 ),
inference(extensionality_resolution,[],[f710,f8904]) ).
thf(f8917,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_83 ),
inference(extensionality_resolution,[],[f170,f8904]) ).
thf(f8918,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_83 ),
inference(extensionality_resolution,[],[f170,f8904]) ).
thf(f8919,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| spl0_83 ),
inference(extensionality_resolution,[],[f712,f8904]) ).
thf(f8920,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| spl0_83 ),
inference(extensionality_resolution,[],[f712,f8904]) ).
thf(f8921,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_83 ),
inference(extensionality_resolution,[],[f1883,f8904]) ).
thf(f8922,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_83 ),
inference(extensionality_resolution,[],[f1883,f8904]) ).
thf(f8929,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_83 ),
inference(extensionality_resolution,[],[f62,f8904]) ).
thf(f8930,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_83 ),
inference(extensionality_resolution,[],[f62,f8904]) ).
thf(f8932,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_83 ),
inference(extensionality_resolution,[],[f38,f8904]) ).
thf(f8938,definition,
( spl0_197
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
thf(f8939,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f8938]) ).
thf(f8941,definition,
( spl0_198
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
thf(f8942,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f8941]) ).
thf(f8943,plain,
( spl0_197
| spl0_198
| spl0_83 ),
inference(avatar_split_clause,[],[f8932,f3521,f8941,f8938]) ).
thf(f8946,definition,
( spl0_199
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
thf(f8947,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f8946]) ).
thf(f8949,definition,
( spl0_200
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
thf(f8950,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f8949]) ).
thf(f8951,plain,
( spl0_199
| spl0_200
| spl0_83 ),
inference(avatar_split_clause,[],[f8930,f3521,f8949,f8946]) ).
thf(f8953,definition,
( spl0_201
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
thf(f8954,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f8953]) ).
thf(f8956,definition,
( spl0_202
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
thf(f8957,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f8956]) ).
thf(f8958,plain,
( spl0_201
| spl0_202
| spl0_83 ),
inference(avatar_split_clause,[],[f8918,f3521,f8956,f8953]) ).
thf(f8960,definition,
( spl0_203
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f8961,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f8960]) ).
thf(f8963,definition,
( spl0_204
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
thf(f8964,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f8963]) ).
thf(f8965,plain,
( spl0_203
| spl0_204
| spl0_83 ),
inference(avatar_split_clause,[],[f8917,f3521,f8963,f8960]) ).
thf(f8967,definition,
( spl0_205
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
thf(f8968,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f8967]) ).
thf(f8970,definition,
( spl0_206
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).
thf(f8971,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f8970]) ).
thf(f8972,plain,
( spl0_205
| spl0_206
| spl0_83 ),
inference(avatar_split_clause,[],[f8929,f3521,f8970,f8967]) ).
thf(f8974,definition,
( spl0_207
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f8975,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_207 ),
inference(avatar_component_clause,[],[f8974]) ).
thf(f8977,definition,
( spl0_208
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
thf(f8978,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f8977]) ).
thf(f8982,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_108
| ~ spl0_198 ),
inference(constrained_superposition,[],[f4454,f8942]) ).
thf(f8983,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_82
| ~ spl0_198 ),
inference(constrained_superposition,[],[f3519,f8942]) ).
thf(f8996,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_108
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f8982]) ).
thf(f8999,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_82
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f8983]) ).
thf(f9009,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_108
| ~ spl0_126
| ~ spl0_198 ),
inference(constrained_superposition,[],[f8996,f8539]) ).
thf(f9013,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_108
| ~ spl0_126
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f9009]) ).
thf(f9015,definition,
( spl0_209
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f9016,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f9015]) ).
thf(f9021,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_108
| ~ spl0_126
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f9013,f33]) ).
thf(f9022,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_82
| ~ spl0_108
| ~ spl0_126
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f9021,f8999]) ).
thf(f9023,plain,
( spl0_209
| ~ spl0_82
| ~ spl0_108
| ~ spl0_126
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f9022,f8941,f5098,f4453,f3518,f9015]) ).
thf(f9048,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f173,f9016]) ).
thf(f9228,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[],[f9048,f27]) ).
thf(f9262,plain,
( $false
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[],[f9228,f32]) ).
thf(f9263,plain,
~ spl0_209,
inference(avatar_contradiction_clause,[],[f9262]) ).
thf(f9277,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_207 ),
inference(constrained_superposition,[],[f8975,f31]) ).
thf(f9278,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_207 ),
inference(trivial_inequality_removal,[],[f9277]) ).
thf(f9329,definition,
( spl0_212
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).
thf(f9330,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f9329]) ).
thf(f9345,definition,
( spl0_216
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
thf(f9346,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f9345]) ).
thf(f9349,definition,
( spl0_217
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).
thf(f9350,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_217 ),
inference(avatar_component_clause,[],[f9349]) ).
thf(f9360,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_82
| ~ spl0_198 ),
inference(constrained_superposition,[],[f3519,f8942]) ).
thf(f9375,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_82
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f9360]) ).
thf(f9394,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_28
| ~ spl0_200 ),
inference(constrained_superposition,[],[f380,f8950]) ).
thf(f9398,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_200 ),
inference(constrained_superposition,[],[f137,f8950]) ).
thf(f9416,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_28
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f9394]) ).
thf(f9434,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_6
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f9398]) ).
thf(f9446,definition,
( spl0_219
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
thf(f9447,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f9446]) ).
thf(f9450,definition,
( spl0_220
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).
thf(f9451,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f9450]) ).
thf(f9463,definition,
( spl0_223
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f9464,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f9463]) ).
thf(f9467,definition,
( spl0_224
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
thf(f9468,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_224 ),
inference(avatar_component_clause,[],[f9467]) ).
thf(f9470,definition,
( spl0_225
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).
thf(f9471,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_225 ),
inference(avatar_component_clause,[],[f9470]) ).
thf(f9472,plain,
( ~ spl0_224
| spl0_216
| ~ spl0_225
| ~ spl0_6
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f9434,f8949,f136,f9470,f9345,f9467]) ).
thf(f9475,definition,
( spl0_226
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).
thf(f9476,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_226 ),
inference(avatar_component_clause,[],[f9475]) ).
thf(f9479,definition,
( spl0_227
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f9480,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_227 ),
inference(avatar_component_clause,[],[f9479]) ).
thf(f9483,definition,
( spl0_228
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).
thf(f9484,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_228 ),
inference(avatar_component_clause,[],[f9483]) ).
thf(f9488,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_147 ),
inference(constrained_superposition,[],[f6109,f37]) ).
thf(f9489,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_147 ),
inference(constrained_superposition,[],[f6109,f31]) ).
thf(f9490,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_147 ),
inference(trivial_inequality_removal,[],[f9489]) ).
thf(f9491,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_147 ),
inference(trivial_inequality_removal,[],[f9488]) ).
thf(f9492,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_82
| spl0_147
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f9490,f9375]) ).
thf(f9495,plain,
( $false
| ~ spl0_82
| spl0_147
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f9492,f33]) ).
thf(f9496,plain,
( ~ spl0_82
| spl0_147
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f9495]) ).
thf(f9497,plain,
( spl0_208
| spl0_147 ),
inference(avatar_split_clause,[],[f9491,f6108,f8977]) ).
thf(f9504,plain,
( spl0_212
| ~ spl0_224
| ~ spl0_226
| ~ spl0_28
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f9416,f8949,f379,f9475,f9467,f9329]) ).
thf(f9534,definition,
( spl0_230
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
thf(f9535,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f9534]) ).
thf(f9585,definition,
( spl0_232
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
thf(f9586,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f9585]) ).
thf(f9589,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_148 ),
inference(constrained_superposition,[],[f6119,f173]) ).
thf(f9593,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(trivial_inequality_removal,[],[f9589]) ).
thf(f9597,plain,
( spl0_212
| spl0_148 ),
inference(avatar_split_clause,[],[f9593,f6118,f9329]) ).
thf(f9608,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_15
| ~ spl0_195
| ~ spl0_219 ),
inference(constrained_superposition,[],[f8673,f9447]) ).
thf(f9612,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_15
| ~ spl0_195
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f9608]) ).
thf(f9620,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_15
| ~ spl0_195
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f9612,f140]) ).
thf(f9625,plain,
( spl0_209
| ~ spl0_7
| ~ spl0_15
| ~ spl0_195
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f9620,f9446,f8466,f217,f139,f9015]) ).
thf(f9627,definition,
( spl0_233
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).
thf(f9628,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f9627]) ).
thf(f9636,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_225 ),
inference(constrained_superposition,[],[f9471,f31]) ).
thf(f9639,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_225 ),
inference(trivial_inequality_removal,[],[f9636]) ).
thf(f9643,definition,
( spl0_235
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
thf(f9644,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f9643]) ).
thf(f9645,plain,
( spl0_235
| spl0_219
| spl0_225 ),
inference(avatar_split_clause,[],[f9639,f9470,f9446,f9643]) ).
thf(f9695,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_226 ),
inference(constrained_superposition,[],[f9476,f31]) ).
thf(f9699,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_226 ),
inference(trivial_inequality_removal,[],[f9695]) ).
thf(f9703,plain,
( spl0_220
| spl0_233
| spl0_226 ),
inference(avatar_split_clause,[],[f9699,f9475,f9627,f9450]) ).
thf(f9712,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_220 ),
inference(constrained_superposition,[],[f6862,f9451]) ).
thf(f9715,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_60
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f9712]) ).
thf(f9724,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_60
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f9715,f33]) ).
thf(f9729,definition,
( spl0_236
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).
thf(f9730,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_236 ),
inference(avatar_component_clause,[],[f9729]) ).
thf(f9731,plain,
( spl0_233
| spl0_236
| ~ spl0_60
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f9724,f9450,f2777,f9729,f9627]) ).
thf(f9740,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_125 ),
inference(constrained_superposition,[],[f4927,f37]) ).
thf(f9743,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_125 ),
inference(trivial_inequality_removal,[],[f9740]) ).
thf(f9816,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_114
| ~ spl0_199 ),
inference(constrained_superposition,[],[f8349,f8947]) ).
thf(f9820,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_60
| ~ spl0_199 ),
inference(constrained_superposition,[],[f6862,f8947]) ).
thf(f9826,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_60
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f9820]) ).
thf(f9828,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_114
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f9816]) ).
thf(f9835,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_60
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f9826,f33]) ).
thf(f9836,plain,
( $false
| ~ spl0_15
| ~ spl0_114
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f9828,f4650]) ).
thf(f9837,plain,
( ~ spl0_15
| ~ spl0_114
| ~ spl0_199 ),
inference(avatar_contradiction_clause,[],[f9836]) ).
thf(f9840,definition,
( spl0_237
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).
thf(f9841,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f9840]) ).
thf(f9842,plain,
( spl0_233
| spl0_237
| ~ spl0_60
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f9835,f8946,f2777,f9840,f9627]) ).
thf(f9844,definition,
( spl0_238
<=> ! [X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).
thf(f9845,plain,
( ! [X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( z = X1 )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f9844]) ).
thf(f9847,definition,
( spl0_239
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).
thf(f9848,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f9847]) ).
thf(f9853,plain,
( spl0_114
| ~ spl0_71
| ~ spl0_15
| ~ spl0_39
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f5838,f3478,f746,f217,f3442,f4649]) ).
thf(f9855,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_207 ),
inference(forward_subsumption_resolution,[],[f9278,f33]) ).
thf(f9862,definition,
( spl0_241
<=> ! [X1: $i] :
( ( z = X1 )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ z @ X1 ) )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).
thf(f9863,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( $true
= ( r @ z @ X1 ) )
| ( ( s @ z )
= X1 ) )
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f9862]) ).
thf(f9872,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_15
| ~ spl0_39
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f8701,f33]) ).
thf(f9875,definition,
( spl0_243
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).
thf(f9876,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f9875]) ).
thf(f9877,plain,
( ~ spl0_70
| spl0_71
| ~ spl0_16
| spl0_243
| spl0_83 ),
inference(avatar_split_clause,[],[f8919,f3521,f9875,f220,f3442,f3438]) ).
thf(f9880,definition,
( spl0_244
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).
thf(f9881,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f9880]) ).
thf(f9884,plain,
( spl0_239
| ~ spl0_7
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f8341,f837,f139,f9847]) ).
thf(f9887,plain,
( spl0_244
| spl0_207 ),
inference(avatar_split_clause,[],[f9855,f8974,f9880]) ).
thf(f9892,definition,
( spl0_245
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).
thf(f9893,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f9892]) ).
thf(f9894,plain,
( spl0_245
| ~ spl0_71
| ~ spl0_15
| ~ spl0_39
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f9872,f4398,f746,f217,f3442,f9892]) ).
thf(f9908,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_73
| ~ spl0_155 ),
inference(constrained_superposition,[],[f6441,f3450]) ).
thf(f9910,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f28,f3450]) ).
thf(f9912,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_73
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f9908]) ).
thf(f9913,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f9910]) ).
thf(f9920,plain,
( ~ spl0_12
| ~ spl0_73
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f9912,f6440,f3449,f206]) ).
thf(f9940,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f398,f31]) ).
thf(f9946,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f9940]) ).
thf(f9948,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_239 ),
inference(constrained_superposition,[],[f9848,f259]) ).
thf(f9952,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_21
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f9948]) ).
thf(f9954,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_71
| ~ spl0_107 ),
inference(constrained_superposition,[],[f4672,f4399]) ).
thf(f9956,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_71
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f9954]) ).
thf(f9959,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_26
| spl0_71
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f9956,f753]) ).
thf(f9961,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_26
| spl0_71
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f9959,f33]) ).
thf(f9963,plain,
( $false
| spl0_26
| spl0_71
| spl0_83
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f9961,f8904]) ).
thf(f9964,plain,
( spl0_26
| spl0_71
| spl0_83
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f9963]) ).
thf(f9965,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_80
| ~ spl0_223 ),
inference(constrained_superposition,[],[f5839,f9464]) ).
thf(f9969,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_80
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f9965]) ).
thf(f9971,plain,
( $false
| ~ spl0_15
| ~ spl0_73
| ~ spl0_80
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f9969,f3450]) ).
thf(f9972,plain,
( ~ spl0_15
| ~ spl0_73
| ~ spl0_80
| ~ spl0_223 ),
inference(avatar_contradiction_clause,[],[f9971]) ).
thf(f10055,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_230 ),
inference(constrained_superposition,[],[f2252,f9535]) ).
thf(f10173,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f10055,f27]) ).
thf(f10199,plain,
( $false
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f10173,f32]) ).
thf(f10200,plain,
~ spl0_230,
inference(avatar_contradiction_clause,[],[f10199]) ).
thf(f10210,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f4923,f173]) ).
thf(f10211,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f4923,f65]) ).
thf(f10217,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f10211]) ).
thf(f10219,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f10210]) ).
thf(f10221,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_103
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f10217,f5857]) ).
thf(f10222,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_71
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f10219,f4672]) ).
thf(f10223,plain,
( ~ spl0_5
| spl0_103
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f10221,f4922,f4218,f96]) ).
thf(f10224,plain,
( ~ spl0_17
| spl0_71
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f10222,f4922,f3442,f223]) ).
thf(f10241,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f9913,f3450]) ).
thf(f10243,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f10241]) ).
thf(f10244,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_73
| ~ spl0_80 ),
inference(constrained_superposition,[],[f10243,f3479]) ).
thf(f10249,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ~ spl0_73
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f10244]) ).
thf(f10251,plain,
( $false
| ~ spl0_73
| ~ spl0_80
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f10249,f4650]) ).
thf(f10252,plain,
( ~ spl0_73
| ~ spl0_80
| ~ spl0_114 ),
inference(avatar_contradiction_clause,[],[f10251]) ).
thf(f10264,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_108
| ~ spl0_198 ),
inference(constrained_superposition,[],[f4454,f8942]) ).
thf(f10268,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_198 ),
inference(constrained_superposition,[],[f345,f8942]) ).
thf(f10270,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f10268]) ).
thf(f10275,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_108
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f10264]) ).
thf(f10277,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_108
| ~ spl0_198 ),
inference(constrained_superposition,[],[f10275,f1883]) ).
thf(f10279,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_108
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f10277]) ).
thf(f10299,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_26
| ~ spl0_108
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f10279,f753]) ).
thf(f10306,plain,
( ~ spl0_109
| spl0_244
| ~ spl0_15
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f10270,f8941,f217,f9880,f4478]) ).
thf(f10308,definition,
( spl0_249
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
thf(f10309,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f10308]) ).
thf(f10310,plain,
( spl0_249
| ~ spl0_68
| ~ spl0_17
| spl0_109
| spl0_83 ),
inference(avatar_split_clause,[],[f8920,f3521,f4478,f223,f3432,f10308]) ).
thf(f10312,definition,
( spl0_250
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_250])],[avatar_definition]) ).
thf(f10313,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_250 ),
inference(avatar_component_clause,[],[f10312]) ).
thf(f10314,plain,
( spl0_250
| spl0_109
| ~ spl0_68
| spl0_83 ),
inference(avatar_split_clause,[],[f8916,f3521,f3432,f4478,f10312]) ).
thf(f10315,plain,
( spl0_208
| spl0_104
| spl0_244
| spl0_26
| ~ spl0_108
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f10299,f8941,f4453,f371,f9880,f4221,f8977]) ).
thf(f10318,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true != $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f28,f207]) ).
thf(f10321,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f10318]) ).
thf(f10362,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f172,f9628]) ).
thf(f10490,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f10362,f27]) ).
thf(f10515,plain,
( $false
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f10490,f32]) ).
thf(f10516,plain,
~ spl0_233,
inference(avatar_contradiction_clause,[],[f10515]) ).
thf(f10528,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f9946,f31]) ).
thf(f10529,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f10528]) ).
thf(f10573,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f10321,f207]) ).
thf(f10575,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f10573]) ).
thf(f10576,plain,
( spl0_37
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f10575,f206,f737]) ).
thf(f10578,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_37 ),
inference(constrained_superposition,[],[f738,f211]) ).
thf(f10582,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_13
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f10578]) ).
thf(f10589,plain,
( ~ spl0_7
| ~ spl0_13
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f10582,f737,f210,f139]) ).
thf(f10592,plain,
( ~ spl0_3
| spl0_73
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f9743,f4926,f3449,f90]) ).
thf(f10606,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_21
| ~ spl0_53
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[],[f8390,f9848]) ).
thf(f10607,plain,
( spl0_56
| ~ spl0_21
| ~ spl0_53
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f10606,f9847,f2058,f258,f2072]) ).
thf(f10608,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_7
| ~ spl0_85 ),
inference(constrained_superposition,[],[f5134,f3903]) ).
thf(f10611,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| spl0_7 ),
inference(constrained_superposition,[],[f5134,f717]) ).
thf(f10613,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| spl0_7
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f10608]) ).
thf(f10616,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ z ) ) )
| spl0_7 ),
inference(trivial_inequality_removal,[],[f10611]) ).
thf(f10618,plain,
( ( z
= ( s @ z ) )
| spl0_7
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f10613,f33]) ).
thf(f10621,plain,
( spl0_241
| spl0_7 ),
inference(avatar_split_clause,[],[f10616,f139,f9862]) ).
thf(f10623,plain,
( $false
| spl0_7
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f10618,f33]) ).
thf(f10624,plain,
( spl0_7
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f10623]) ).
thf(f10644,definition,
( spl0_253
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).
thf(f10645,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f10644]) ).
thf(f10650,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) ) ),
inference(forward_subsumption_resolution,[],[f2719,f33]) ).
thf(f10651,plain,
( spl0_132
| ~ spl0_74
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f5553,f3475,f3454,f5145]) ).
thf(f10657,plain,
( spl0_7
| spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f10650,f93,f86,f139]) ).
thf(f10736,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f6106,f173]) ).
thf(f10737,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f6106,f65]) ).
thf(f10739,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f10736]) ).
thf(f10744,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f10737]) ).
thf(f10746,plain,
( ~ spl0_17
| spl0_212
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f10739,f6105,f9329,f223]) ).
thf(f10747,plain,
( spl0_216
| ~ spl0_5
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f10744,f6105,f96,f9345]) ).
thf(f10749,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_223 ),
inference(constrained_superposition,[],[f28,f9464]) ).
thf(f10751,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f10749]) ).
thf(f10753,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_223 ),
inference(constrained_superposition,[],[f10751,f9464]) ).
thf(f10755,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f10753]) ).
thf(f10775,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_51
| ~ spl0_212 ),
inference(constrained_superposition,[],[f1395,f9330]) ).
thf(f10781,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_51
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f10775]) ).
thf(f10799,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f132,f8939]) ).
thf(f10822,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f10799]) ).
thf(f10832,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_51
| ~ spl0_197
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f10822,f10781]) ).
thf(f10834,plain,
( ~ spl0_79
| spl0_125
| ~ spl0_51
| ~ spl0_197
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f10832,f9329,f8938,f1394,f4926,f3475]) ).
thf(f10840,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_217 ),
inference(constrained_superposition,[],[f9350,f64]) ).
thf(f10845,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_217 ),
inference(trivial_inequality_removal,[],[f10840]) ).
thf(f10847,definition,
( spl0_255
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).
thf(f10848,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_255 ),
inference(avatar_component_clause,[],[f10847]) ).
thf(f10851,plain,
( spl0_255
| spl0_217 ),
inference(avatar_split_clause,[],[f10845,f9349,f10847]) ).
thf(f10854,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_56
| ~ spl0_255 ),
inference(constrained_superposition,[],[f2073,f10848]) ).
thf(f10855,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_239
| ~ spl0_255 ),
inference(constrained_superposition,[],[f9848,f10848]) ).
thf(f10857,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_239
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f10855]) ).
thf(f10858,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_56
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f10854]) ).
thf(f10862,plain,
( $false
| ~ spl0_114
| ~ spl0_239
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f10857,f4650]) ).
thf(f10863,plain,
( ~ spl0_114
| ~ spl0_239
| ~ spl0_255 ),
inference(avatar_contradiction_clause,[],[f10862]) ).
thf(f10864,plain,
( spl0_104
| ~ spl0_56
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f10858,f10847,f2072,f4221]) ).
thf(f10866,definition,
( spl0_256
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).
thf(f10867,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_256 ),
inference(avatar_component_clause,[],[f10866]) ).
thf(f10869,definition,
( spl0_257
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).
thf(f10870,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_257 ),
inference(avatar_component_clause,[],[f10869]) ).
thf(f10873,definition,
( spl0_258
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).
thf(f10874,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_258 ),
inference(avatar_component_clause,[],[f10873]) ).
thf(f10878,definition,
( spl0_259
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_259])],[avatar_definition]) ).
thf(f10879,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_259 ),
inference(avatar_component_clause,[],[f10878]) ).
thf(f10882,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_15
| ~ spl0_256 ),
inference(constrained_superposition,[],[f342,f10867]) ).
thf(f10884,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_239
| ~ spl0_256 ),
inference(constrained_superposition,[],[f9848,f10867]) ).
thf(f10886,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_239
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f10884]) ).
thf(f10889,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f10882]) ).
thf(f10891,plain,
( $false
| ~ spl0_78
| ~ spl0_239
| ~ spl0_256 ),
inference(forward_subsumption_resolution,[],[f10886,f3470]) ).
thf(f10892,plain,
( ~ spl0_78
| ~ spl0_239
| ~ spl0_256 ),
inference(avatar_contradiction_clause,[],[f10891]) ).
thf(f10893,plain,
( spl0_157
| ~ spl0_15
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f10889,f10866,f217,f6470]) ).
thf(f10900,plain,
( ~ spl0_26
| ~ spl0_21
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f9952,f9847,f258,f371]) ).
thf(f10915,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_26
| ~ spl0_51 ),
inference(constrained_superposition,[],[f1395,f372]) ).
thf(f10918,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_26
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f10915]) ).
thf(f10934,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_216 ),
inference(constrained_superposition,[],[f1747,f9346]) ).
thf(f10941,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_52
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f10934]) ).
thf(f10945,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_258 ),
inference(constrained_superposition,[],[f10874,f62]) ).
thf(f10948,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_258 ),
inference(trivial_inequality_removal,[],[f10945]) ).
thf(f10952,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_258 ),
inference(forward_subsumption_resolution,[],[f10948,f33]) ).
thf(f10954,definition,
( spl0_260
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).
thf(f10955,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_260 ),
inference(avatar_component_clause,[],[f10954]) ).
thf(f10958,plain,
( spl0_260
| spl0_258 ),
inference(avatar_split_clause,[],[f10952,f10873,f10954]) ).
thf(f11101,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_76
| ~ spl0_200 ),
inference(constrained_superposition,[],[f3463,f8950]) ).
thf(f11125,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_76
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f11101]) ).
thf(f11138,definition,
( spl0_262
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).
thf(f11139,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_262 ),
inference(avatar_component_clause,[],[f11138]) ).
thf(f11141,definition,
( spl0_263
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).
thf(f11142,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_263 ),
inference(avatar_component_clause,[],[f11141]) ).
thf(f11146,definition,
( spl0_264
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).
thf(f11147,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f11146]) ).
thf(f11157,definition,
( spl0_265
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
thf(f11158,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f11157]) ).
thf(f11164,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56
| ~ spl0_265 ),
inference(constrained_superposition,[],[f2073,f11158]) ).
thf(f11166,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f11164]) ).
thf(f11170,plain,
( spl0_230
| ~ spl0_56
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f11166,f11157,f2072,f9534]) ).
thf(f11174,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_155
| ~ spl0_253 ),
inference(constrained_superposition,[],[f6441,f10645]) ).
thf(f11183,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_155
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f11174]) ).
thf(f11185,plain,
( $false
| ~ spl0_155
| ~ spl0_253
| ~ spl0_260 ),
inference(forward_subsumption_resolution,[],[f11183,f10955]) ).
thf(f11186,plain,
( ~ spl0_155
| ~ spl0_253
| ~ spl0_260 ),
inference(avatar_contradiction_clause,[],[f11185]) ).
thf(f11198,definition,
( spl0_266
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
thf(f11199,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f11198]) ).
thf(f11204,definition,
( spl0_267
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_267])],[avatar_definition]) ).
thf(f11205,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_267 ),
inference(avatar_component_clause,[],[f11204]) ).
thf(f11231,definition,
( spl0_268
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).
thf(f11232,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f11231]) ).
thf(f11264,definition,
( spl0_269
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
thf(f11265,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f11264]) ).
thf(f11268,definition,
( spl0_270
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).
thf(f11269,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f11268]) ).
thf(f11272,definition,
( spl0_271
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
thf(f11273,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f11272]) ).
thf(f11279,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_73
| ~ spl0_223 ),
inference(constrained_superposition,[],[f10751,f3450]) ).
thf(f11282,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f28,f3450]) ).
thf(f11283,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f11282]) ).
thf(f11285,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_73
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f11279]) ).
thf(f11305,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_43
| ~ spl0_109 ),
inference(constrained_superposition,[],[f5368,f4479]) ).
thf(f11311,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_13
| ~ spl0_43
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f11305]) ).
thf(f11312,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_13
| ~ spl0_43
| ~ spl0_109 ),
inference(constrained_superposition,[],[f11311,f1883]) ).
thf(f11314,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_13
| ~ spl0_43
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f11312]) ).
thf(f11323,definition,
( spl0_272
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
thf(f11324,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_272 ),
inference(avatar_component_clause,[],[f11323]) ).
thf(f11325,plain,
( spl0_268
| ~ spl0_272
| ~ spl0_147
| ~ spl0_76
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f11125,f8949,f3462,f6108,f11323,f11231]) ).
thf(f11327,plain,
( spl0_104
| spl0_208
| ~ spl0_52
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f10941,f9345,f1746,f8977,f4221]) ).
thf(f11332,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_13
| ~ spl0_43
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f11314,f33]) ).
thf(f11335,plain,
( ~ spl0_7
| ~ spl0_26
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f10918,f1394,f371,f139]) ).
thf(f11340,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_13
| ~ spl0_43
| spl0_78
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f11332,f8264]) ).
thf(f11342,plain,
( spl0_2
| spl0_7
| ~ spl0_13
| ~ spl0_43
| spl0_78
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f11340,f4478,f3469,f837,f210,f139,f86]) ).
thf(f11346,definition,
( spl0_274
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).
thf(f11347,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f11346]) ).
thf(f11353,definition,
( spl0_275
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
thf(f11354,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f11353]) ).
thf(f11409,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_272 ),
inference(constrained_superposition,[],[f11324,f37]) ).
thf(f11412,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_272 ),
inference(trivial_inequality_removal,[],[f11409]) ).
thf(f11446,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f526,f36]) ).
thf(f11451,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f11446]) ).
thf(f11455,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_26
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f11451,f753]) ).
thf(f11456,plain,
( ~ spl0_5
| spl0_26
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f11455,f525,f371,f96]) ).
thf(f11501,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_228 ),
inference(constrained_superposition,[],[f9484,f62]) ).
thf(f11505,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_228 ),
inference(trivial_inequality_removal,[],[f11501]) ).
thf(f11508,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_228 ),
inference(forward_subsumption_resolution,[],[f11505,f33]) ).
thf(f11510,definition,
( spl0_276
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).
thf(f11511,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_276 ),
inference(avatar_component_clause,[],[f11510]) ).
thf(f11514,plain,
( spl0_276
| spl0_228 ),
inference(avatar_split_clause,[],[f11508,f9483,f11510]) ).
thf(f11517,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_39
| ~ spl0_276 ),
inference(constrained_superposition,[],[f747,f11511]) ).
thf(f11524,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_39
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f11517]) ).
thf(f11525,plain,
( spl0_236
| ~ spl0_39
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f11524,f11510,f746,f9729]) ).
thf(f11574,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_235 ),
inference(constrained_superposition,[],[f64,f9644]) ).
thf(f11685,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_235 ),
inference(forward_subsumption_resolution,[],[f11574,f32]) ).
thf(f11710,plain,
( $false
| ~ spl0_235 ),
inference(forward_subsumption_resolution,[],[f11685,f27]) ).
thf(f11711,plain,
~ spl0_235,
inference(avatar_contradiction_clause,[],[f11710]) ).
thf(f11730,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_82
| ~ spl0_266 ),
inference(constrained_superposition,[],[f3519,f11199]) ).
thf(f11736,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_82
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f11730]) ).
thf(f11740,plain,
( $false
| ~ spl0_82
| ~ spl0_223
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f11736,f9464]) ).
thf(f11741,plain,
( ~ spl0_82
| ~ spl0_223
| ~ spl0_266 ),
inference(avatar_contradiction_clause,[],[f11740]) ).
thf(f11858,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_198 ),
inference(constrained_superposition,[],[f342,f8942]) ).
thf(f11860,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_198 ),
inference(constrained_superposition,[],[f345,f8942]) ).
thf(f11863,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f11860]) ).
thf(f11864,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_15
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f11858]) ).
thf(f11898,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_39
| ~ spl0_268 ),
inference(constrained_superposition,[],[f5433,f11232]) ).
thf(f11900,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_73
| ~ spl0_223
| ~ spl0_268 ),
inference(constrained_superposition,[],[f11285,f11232]) ).
thf(f11901,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_155
| ~ spl0_268 ),
inference(constrained_superposition,[],[f6441,f11232]) ).
thf(f11904,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_73
| ~ spl0_223
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f11900]) ).
thf(f11908,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_155
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f11901]) ).
thf(f11909,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_39
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f11898]) ).
thf(f11913,plain,
( $false
| ~ spl0_155
| ~ spl0_268
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f11908,f11511]) ).
thf(f11914,plain,
( ~ spl0_155
| ~ spl0_268
| ~ spl0_276 ),
inference(avatar_contradiction_clause,[],[f11913]) ).
thf(f11921,definition,
( spl0_279
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).
thf(f11922,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_279 ),
inference(avatar_component_clause,[],[f11921]) ).
thf(f11925,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_39
| ~ spl0_71
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f11909,f3443]) ).
thf(f11927,plain,
( spl0_279
| ~ spl0_15
| ~ spl0_39
| ~ spl0_71
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f11925,f11231,f3442,f746,f217,f11921]) ).
thf(f11928,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_279 ),
inference(constrained_superposition,[],[f342,f11922]) ).
thf(f11930,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_15
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f11928]) ).
thf(f11932,plain,
( $false
| ~ spl0_73
| ~ spl0_223
| ~ spl0_268
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f11904,f11922]) ).
thf(f11933,plain,
( ~ spl0_73
| ~ spl0_223
| ~ spl0_268
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[],[f11932]) ).
thf(f11934,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_51
| ~ spl0_220 ),
inference(constrained_superposition,[],[f1395,f9451]) ).
thf(f11939,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_51
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f11934]) ).
thf(f11940,plain,
( $false
| ~ spl0_51
| ~ spl0_219
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f11939,f9447]) ).
thf(f11941,plain,
( ~ spl0_51
| ~ spl0_219
| ~ spl0_220 ),
inference(avatar_contradiction_clause,[],[f11940]) ).
thf(f11991,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_219
| ~ spl0_279 ),
inference(constrained_superposition,[],[f11930,f9447]) ).
thf(f11996,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_15
| ~ spl0_219
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f11991]) ).
thf(f11998,plain,
( $false
| ~ spl0_7
| ~ spl0_15
| ~ spl0_219
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f11996,f140]) ).
thf(f11999,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_219
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[],[f11998]) ).
thf(f12007,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_199 ),
inference(constrained_superposition,[],[f342,f8947]) ).
thf(f12008,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_199
| ~ spl0_223 ),
inference(constrained_superposition,[],[f10755,f8947]) ).
thf(f12013,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_199
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f12008]) ).
thf(f12014,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f12007]) ).
thf(f12017,plain,
( $false
| ~ spl0_199
| ~ spl0_223
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f12013,f9881]) ).
thf(f12018,plain,
( ~ spl0_199
| ~ spl0_223
| ~ spl0_244 ),
inference(avatar_contradiction_clause,[],[f12017]) ).
thf(f12021,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_260 ),
inference(avatar_component_clause,[],[f10954]) ).
thf(f12023,plain,
( spl0_223
| spl0_272 ),
inference(avatar_split_clause,[],[f11412,f11323,f9463]) ).
thf(f12028,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_15
| spl0_260 ),
inference(constrained_superposition,[],[f12021,f218]) ).
thf(f12032,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_15
| spl0_260 ),
inference(trivial_inequality_removal,[],[f12028]) ).
thf(f12064,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_76
| ~ spl0_206 ),
inference(constrained_superposition,[],[f3463,f8971]) ).
thf(f12077,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_76
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f12064]) ).
thf(f12098,plain,
( ~ spl0_272
| ~ spl0_147
| spl0_253
| ~ spl0_76
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f12077,f8970,f3462,f10644,f6108,f11323]) ).
thf(f12102,definition,
( spl0_281
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_281])],[avatar_definition]) ).
thf(f12103,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_281 ),
inference(avatar_component_clause,[],[f12102]) ).
thf(f12122,definition,
( spl0_284
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).
thf(f12123,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f12122]) ).
thf(f12127,definition,
( spl0_285
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
thf(f12128,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f12127]) ).
thf(f12221,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_267 ),
inference(constrained_superposition,[],[f2252,f11205]) ).
thf(f12341,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f12221,f32]) ).
thf(f12347,plain,
( $false
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f12341,f27]) ).
thf(f12348,plain,
~ spl0_267,
inference(avatar_contradiction_clause,[],[f12347]) ).
thf(f12355,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_205
| ~ spl0_236 ),
inference(constrained_superposition,[],[f9730,f8968]) ).
thf(f12357,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_205
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f12355]) ).
thf(f12363,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_201
| ~ spl0_236 ),
inference(constrained_superposition,[],[f9730,f8954]) ).
thf(f12366,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_201 ),
inference(constrained_superposition,[],[f345,f8954]) ).
thf(f12369,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_201
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f12363]) ).
thf(f12370,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f12366]) ).
thf(f12375,definition,
( spl0_288
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).
thf(f12376,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_288 ),
inference(avatar_component_clause,[],[f12375]) ).
thf(f12377,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_276 ),
inference(avatar_component_clause,[],[f11510]) ).
thf(f12378,plain,
( spl0_288
| ~ spl0_276
| ~ spl0_15
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f12370,f8953,f217,f11510,f12375]) ).
thf(f12416,definition,
( spl0_290
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).
thf(f12417,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f12416]) ).
thf(f12456,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f5496,f8964]) ).
thf(f12459,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f321,f8964]) ).
thf(f12489,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f12459]) ).
thf(f12492,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f12456]) ).
thf(f12504,definition,
( spl0_294
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
thf(f12505,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_294 ),
inference(avatar_component_clause,[],[f12504]) ).
thf(f12508,definition,
( spl0_295
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).
thf(f12509,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_295 ),
inference(avatar_component_clause,[],[f12508]) ).
thf(f12511,definition,
( spl0_296
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).
thf(f12512,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_296 ),
inference(avatar_component_clause,[],[f12511]) ).
thf(f12518,definition,
( spl0_297
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_297])],[avatar_definition]) ).
thf(f12519,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_297 ),
inference(avatar_component_clause,[],[f12518]) ).
thf(f12524,plain,
( spl0_295
| ~ spl0_228
| ~ spl0_226
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f12489,f8963,f9475,f9483,f12508]) ).
thf(f12533,definition,
( spl0_301
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).
thf(f12534,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_301 ),
inference(avatar_component_clause,[],[f12533]) ).
thf(f12535,plain,
( ~ spl0_263
| ~ spl0_262
| spl0_301
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f12492,f8963,f12533,f11138,f11141]) ).
thf(f12537,definition,
( spl0_302
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).
thf(f12538,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_302 ),
inference(avatar_component_clause,[],[f12537]) ).
thf(f12541,definition,
( spl0_303
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).
thf(f12542,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f12541]) ).
thf(f12557,definition,
( spl0_307
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).
thf(f12558,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_307 ),
inference(avatar_component_clause,[],[f12557]) ).
thf(f12561,definition,
( spl0_308
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).
thf(f12562,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_308 ),
inference(avatar_component_clause,[],[f12561]) ).
thf(f12759,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_216 ),
inference(avatar_component_clause,[],[f9345]) ).
thf(f12815,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_199
| ~ spl0_203 ),
inference(constrained_superposition,[],[f12014,f8961]) ).
thf(f12821,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_199
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f12815]) ).
thf(f12833,definition,
( spl0_314
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).
thf(f12834,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f12833]) ).
thf(f12843,definition,
( spl0_316
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_316])],[avatar_definition]) ).
thf(f12844,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f12843]) ).
thf(f12847,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_198
| ~ spl0_316 ),
inference(constrained_superposition,[],[f12844,f8942]) ).
thf(f12850,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_198
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f12847]) ).
thf(f12853,plain,
( spl0_209
| ~ spl0_198
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f12850,f12843,f8941,f9015]) ).
thf(f12855,definition,
( spl0_317
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
thf(f12856,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_317 ),
inference(avatar_component_clause,[],[f12855]) ).
thf(f12862,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_212 ),
inference(avatar_component_clause,[],[f9329]) ).
thf(f12864,plain,
( ~ spl0_109
| spl0_244
| ~ spl0_15
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f11863,f8941,f217,f9880,f4478]) ).
thf(f12866,plain,
( spl0_244
| ~ spl0_15
| spl0_260 ),
inference(avatar_split_clause,[],[f12032,f10954,f217,f9880]) ).
thf(f12869,plain,
( ~ spl0_212
| ~ spl0_205
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f12357,f9729,f8967,f9329]) ).
thf(f12870,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_220 ),
inference(avatar_component_clause,[],[f9450]) ).
thf(f12872,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_295 ),
inference(avatar_component_clause,[],[f12508]) ).
thf(f12879,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_244 ),
inference(avatar_component_clause,[],[f9880]) ).
thf(f12881,plain,
( ~ spl0_317
| ~ spl0_201
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f12369,f9729,f8953,f12855]) ).
thf(f12896,definition,
( spl0_322
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_322])],[avatar_definition]) ).
thf(f12897,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f12896]) ).
thf(f12902,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_40
| ~ spl0_73 ),
inference(constrained_superposition,[],[f11283,f751]) ).
thf(f12906,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_40
| ~ spl0_198 ),
inference(constrained_superposition,[],[f11864,f751]) ).
thf(f12912,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_40
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f12906]) ).
thf(f12914,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_40
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f12902]) ).
thf(f12920,plain,
( $false
| ~ spl0_15
| ~ spl0_40
| ~ spl0_73
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f12912,f3450]) ).
thf(f12921,plain,
( ~ spl0_15
| ~ spl0_40
| ~ spl0_73
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f12920]) ).
thf(f12922,plain,
( spl0_186
| ~ spl0_40
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f12914,f3449,f750,f8215]) ).
thf(f12929,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_15
| ~ spl0_78 ),
inference(constrained_superposition,[],[f342,f3470]) ).
thf(f12932,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_15
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f12929]) ).
thf(f12956,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_15
| ~ spl0_279 ),
inference(constrained_superposition,[],[f342,f11922]) ).
thf(f12960,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_15
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f12956]) ).
thf(f12982,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_51
| ~ spl0_212 ),
inference(constrained_superposition,[],[f1395,f9330]) ).
thf(f12986,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_51
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f12982]) ).
thf(f13001,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_276 ),
inference(constrained_superposition,[],[f12377,f1883]) ).
thf(f13005,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_276 ),
inference(trivial_inequality_removal,[],[f13001]) ).
thf(f13007,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_220 ),
inference(constrained_superposition,[],[f12870,f1883]) ).
thf(f13010,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_220 ),
inference(trivial_inequality_removal,[],[f13007]) ).
thf(f13025,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_203
| ~ spl0_279 ),
inference(constrained_superposition,[],[f12960,f8961]) ).
thf(f13030,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_203
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f13025]) ).
thf(f13081,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_199
| ~ spl0_203 ),
inference(constrained_superposition,[],[f12821,f1883]) ).
thf(f13083,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_199
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f13081]) ).
thf(f13093,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_199
| ~ spl0_203
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f13083,f13030]) ).
thf(f13102,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_199
| ~ spl0_203
| spl0_244
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f13093,f12879]) ).
thf(f13103,plain,
( spl0_208
| spl0_267
| ~ spl0_15
| ~ spl0_199
| ~ spl0_203
| spl0_244
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f13102,f11921,f9880,f8960,f8946,f217,f11204,f8977]) ).
thf(f13107,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f28,f8978]) ).
thf(f13109,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f13107]) ).
thf(f13119,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f13109,f8978]) ).
thf(f13121,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f13119]) ).
thf(f13123,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_243 ),
inference(constrained_superposition,[],[f9876,f64]) ).
thf(f13127,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f13123]) ).
thf(f13200,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_198
| ~ spl0_208 ),
inference(constrained_superposition,[],[f13121,f8942]) ).
thf(f13201,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_205
| ~ spl0_208 ),
inference(constrained_superposition,[],[f13121,f8968]) ).
thf(f13208,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_198
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f13200]) ).
thf(f13210,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_205
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f13201]) ).
thf(f13211,plain,
( $false
| ~ spl0_78
| ~ spl0_198
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f13208,f3470]) ).
thf(f13212,plain,
( ~ spl0_78
| ~ spl0_198
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f13211]) ).
thf(f13213,plain,
( $false
| ~ spl0_205
| ~ spl0_208
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f13210,f11922]) ).
thf(f13214,plain,
( ~ spl0_205
| ~ spl0_208
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[],[f13213]) ).
thf(f13215,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_26
| spl0_276 ),
inference(forward_subsumption_resolution,[],[f13005,f753]) ).
thf(f13219,plain,
( ~ spl0_216
| ~ spl0_51
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f12986,f9329,f1394,f9345]) ).
thf(f13222,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_26
| spl0_220 ),
inference(forward_subsumption_resolution,[],[f13010,f753]) ).
thf(f13225,plain,
( spl0_279
| spl0_12
| spl0_230
| spl0_26
| spl0_276 ),
inference(avatar_split_clause,[],[f13215,f11510,f371,f9534,f206,f11921]) ).
thf(f13228,plain,
( spl0_279
| spl0_223
| spl0_230
| spl0_26
| spl0_220 ),
inference(avatar_split_clause,[],[f13222,f9450,f371,f9534,f9463,f11921]) ).
thf(f13237,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_12
| ~ spl0_39 ),
inference(constrained_superposition,[],[f747,f207]) ).
thf(f13240,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_12
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f13237]) ).
thf(f13263,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_244 ),
inference(constrained_superposition,[],[f342,f9881]) ).
thf(f13266,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_15
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f13263]) ).
thf(f13316,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_186
| ~ spl0_198 ),
inference(constrained_superposition,[],[f8216,f8942]) ).
thf(f13326,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_186
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f13316]) ).
thf(f13331,plain,
( $false
| ~ spl0_78
| ~ spl0_186
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f13326,f3470]) ).
thf(f13332,plain,
( ~ spl0_78
| ~ spl0_186
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f13331]) ).
thf(f13354,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f28,f3450]) ).
thf(f13357,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f13354]) ).
thf(f13375,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_51
| ~ spl0_220 ),
inference(constrained_superposition,[],[f1395,f9451]) ).
thf(f13376,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_220 ),
inference(constrained_superposition,[],[f13240,f9451]) ).
thf(f13382,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f13376]) ).
thf(f13383,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_51
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f13375]) ).
thf(f13388,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_51
| ~ spl0_220 ),
inference(constrained_superposition,[],[f13383,f1883]) ).
thf(f13390,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_51
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f13388]) ).
thf(f13392,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_7
| ~ spl0_51
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f13390,f5134]) ).
thf(f13394,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_7
| ~ spl0_51
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f13392,f33]) ).
thf(f13395,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_7
| ~ spl0_12
| ~ spl0_39
| ~ spl0_51
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f13394,f13382]) ).
thf(f13396,plain,
( spl0_279
| spl0_7
| ~ spl0_12
| ~ spl0_39
| ~ spl0_51
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f13395,f9450,f1394,f746,f206,f139,f11921]) ).
thf(f13397,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_237
| ~ spl0_279 ),
inference(constrained_superposition,[],[f9841,f11922]) ).
thf(f13401,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_237
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f13397]) ).
thf(f13403,plain,
( $false
| ~ spl0_237
| ~ spl0_244
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f13401,f9881]) ).
thf(f13404,plain,
( ~ spl0_237
| ~ spl0_244
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[],[f13403]) ).
thf(f13405,plain,
( spl0_223
| spl0_279
| spl0_7
| ~ spl0_51
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f13394,f9450,f1394,f139,f11921,f9463]) ).
thf(f13409,plain,
( spl0_12
| spl0_26
| spl0_274
| ~ spl0_13
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f5381,f837,f210,f11346,f371,f206]) ).
thf(f13417,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_216 ),
inference(constrained_superposition,[],[f12759,f1883]) ).
thf(f13420,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_216 ),
inference(trivial_inequality_removal,[],[f13417]) ).
thf(f13444,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_7
| ~ spl0_243 ),
inference(forward_subsumption_resolution,[],[f13127,f5134]) ).
thf(f13446,plain,
( spl0_21
| spl0_7
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f13444,f9875,f139,f258]) ).
thf(f13485,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_276 ),
inference(constrained_superposition,[],[f738,f11511]) ).
thf(f13487,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_43
| ~ spl0_276 ),
inference(constrained_superposition,[],[f5368,f11511]) ).
thf(f13490,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_37
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f13485]) ).
thf(f13495,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_13
| ~ spl0_43
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f13487]) ).
thf(f13496,plain,
( $false
| ~ spl0_13
| ~ spl0_43
| ~ spl0_265
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f13495,f11158]) ).
thf(f13497,plain,
( ~ spl0_13
| ~ spl0_43
| ~ spl0_265
| ~ spl0_276 ),
inference(avatar_contradiction_clause,[],[f13496]) ).
thf(f13521,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_13
| ~ spl0_43
| ~ spl0_276 ),
inference(constrained_superposition,[],[f13495,f1883]) ).
thf(f13523,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_13
| ~ spl0_43
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f13521]) ).
thf(f13525,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_13
| ~ spl0_43
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f13523,f33]) ).
thf(f13527,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_7
| ~ spl0_13
| ~ spl0_43
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f13525,f5134]) ).
thf(f13528,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_7
| ~ spl0_13
| ~ spl0_37
| ~ spl0_43
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f13527,f13490]) ).
thf(f13529,plain,
( spl0_2
| spl0_7
| ~ spl0_13
| ~ spl0_37
| ~ spl0_43
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f13528,f11510,f837,f737,f210,f139,f86]) ).
thf(f13530,plain,
( spl0_2
| spl0_279
| spl0_7
| ~ spl0_13
| ~ spl0_43
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f13527,f11510,f837,f210,f139,f11921,f86]) ).
thf(f13539,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_43
| ~ spl0_103 ),
inference(constrained_superposition,[],[f838,f4219]) ).
thf(f13545,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_43
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f13539]) ).
thf(f13549,plain,
( spl0_157
| ~ spl0_43
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f13545,f4218,f837,f6470]) ).
thf(f13557,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_73
| ~ spl0_208 ),
inference(constrained_superposition,[],[f13357,f8978]) ).
thf(f13562,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_73
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f13557]) ).
thf(f13563,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_224 ),
inference(constrained_superposition,[],[f9468,f36]) ).
thf(f13566,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_224 ),
inference(trivial_inequality_removal,[],[f13563]) ).
thf(f13568,plain,
( spl0_279
| spl0_224 ),
inference(avatar_split_clause,[],[f13566,f9467,f11921]) ).
thf(f13569,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_279 ),
inference(constrained_superposition,[],[f342,f11922]) ).
thf(f13571,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_15
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f13569]) ).
thf(f13640,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_281 ),
inference(constrained_superposition,[],[f12103,f2252]) ).
thf(f13643,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_281 ),
inference(constrained_superposition,[],[f12103,f38]) ).
thf(f13648,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_281 ),
inference(trivial_inequality_removal,[],[f13640]) ).
thf(f13649,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_281 ),
inference(trivial_inequality_removal,[],[f13643]) ).
thf(f13652,definition,
( spl0_328
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).
thf(f13653,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f13652]) ).
thf(f13656,plain,
( spl0_253
| spl0_281 ),
inference(avatar_split_clause,[],[f13648,f12102,f10644]) ).
thf(f13657,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_83
| spl0_281 ),
inference(forward_subsumption_resolution,[],[f13649,f8904]) ).
thf(f13658,plain,
( spl0_253
| spl0_83
| spl0_281 ),
inference(avatar_split_clause,[],[f13657,f12102,f3521,f10644]) ).
thf(f13695,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_73
| ~ spl0_208
| ~ spl0_212 ),
inference(constrained_superposition,[],[f13562,f9330]) ).
thf(f13700,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_73
| ~ spl0_208
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f13695]) ).
thf(f13702,plain,
( $false
| ~ spl0_26
| ~ spl0_73
| ~ spl0_208
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f13700,f372]) ).
thf(f13703,plain,
( ~ spl0_26
| ~ spl0_73
| ~ spl0_208
| ~ spl0_212 ),
inference(avatar_contradiction_clause,[],[f13702]) ).
thf(f13731,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_232
| ~ spl0_260 ),
inference(constrained_superposition,[],[f9586,f10955]) ).
thf(f13735,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_43
| ~ spl0_260 ),
inference(constrained_superposition,[],[f5368,f10955]) ).
thf(f13738,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_232
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f13731]) ).
thf(f13742,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_13
| ~ spl0_43
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f13735]) ).
thf(f13767,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_13
| ~ spl0_43
| ~ spl0_260 ),
inference(constrained_superposition,[],[f13742,f1883]) ).
thf(f13770,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_13
| ~ spl0_43
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f13767]) ).
thf(f13826,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_157
| ~ spl0_268 ),
inference(constrained_superposition,[],[f6471,f11232]) ).
thf(f13827,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_78
| ~ spl0_268 ),
inference(constrained_superposition,[],[f12932,f11232]) ).
thf(f13831,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_78
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f13827]) ).
thf(f13832,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_157
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f13826]) ).
thf(f13836,plain,
( $false
| ~ spl0_15
| ~ spl0_78
| ~ spl0_268
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f13831,f11922]) ).
thf(f13837,plain,
( ~ spl0_15
| ~ spl0_78
| ~ spl0_268
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[],[f13836]) ).
thf(f13838,plain,
( $false
| ~ spl0_157
| ~ spl0_265
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f13832,f11158]) ).
thf(f13839,plain,
( ~ spl0_157
| ~ spl0_265
| ~ spl0_268 ),
inference(avatar_contradiction_clause,[],[f13838]) ).
thf(f13842,plain,
( ~ spl0_12
| ~ spl0_232
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f13738,f10954,f9585,f206]) ).
thf(f13879,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_37
| ~ spl0_260 ),
inference(constrained_superposition,[],[f738,f10955]) ).
thf(f13887,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_37
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f13879]) ).
thf(f13888,plain,
( $false
| ~ spl0_37
| ~ spl0_244
| ~ spl0_260 ),
inference(forward_subsumption_resolution,[],[f13887,f9881]) ).
thf(f13889,plain,
( ~ spl0_37
| ~ spl0_244
| ~ spl0_260 ),
inference(avatar_contradiction_clause,[],[f13888]) ).
thf(f13948,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_198
| ~ spl0_244 ),
inference(constrained_superposition,[],[f13266,f8942]) ).
thf(f13952,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_198
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f13948]) ).
thf(f13955,plain,
( $false
| ~ spl0_15
| ~ spl0_78
| ~ spl0_198
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f13952,f3470]) ).
thf(f13956,plain,
( ~ spl0_15
| ~ spl0_78
| ~ spl0_198
| ~ spl0_244 ),
inference(avatar_contradiction_clause,[],[f13955]) ).
thf(f13959,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_13
| ~ spl0_43
| ~ spl0_260 ),
inference(forward_subsumption_resolution,[],[f13770,f33]) ).
thf(f13960,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_216 ),
inference(forward_subsumption_resolution,[],[f13420,f33]) ).
thf(f13961,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_7
| ~ spl0_13
| ~ spl0_43
| ~ spl0_260 ),
inference(forward_subsumption_resolution,[],[f13959,f5134]) ).
thf(f13962,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_7
| spl0_216 ),
inference(forward_subsumption_resolution,[],[f13960,f5134]) ).
thf(f13963,plain,
( spl0_2
| spl0_244
| spl0_7
| ~ spl0_13
| ~ spl0_43
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f13961,f10954,f837,f210,f139,f9880,f86]) ).
thf(f13964,plain,
( spl0_208
| spl0_244
| spl0_7
| spl0_216 ),
inference(avatar_split_clause,[],[f13962,f9345,f139,f9880,f8977]) ).
thf(f14009,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_244 ),
inference(constrained_superposition,[],[f342,f9881]) ).
thf(f14011,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_15
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f14009]) ).
thf(f14017,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f365,f65]) ).
thf(f14020,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f14017]) ).
thf(f14051,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f44,f8939]) ).
thf(f14056,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f56,f8939]) ).
thf(f14061,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f29,f8939]) ).
thf(f14063,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f14056]) ).
thf(f14071,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f14061]) ).
thf(f14074,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f14051]) ).
thf(f14129,definition,
( spl0_329
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
thf(f14130,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f14129]) ).
thf(f14169,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_329 ),
inference(constrained_superposition,[],[f64,f14130]) ).
thf(f14270,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f14169,f32]) ).
thf(f14292,plain,
( $false
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f14270,f27]) ).
thf(f14293,plain,
~ spl0_329,
inference(avatar_contradiction_clause,[],[f14292]) ).
thf(f14330,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f12128,f173]) ).
thf(f14337,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f14330]) ).
thf(f14340,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_220
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f14337,f12870]) ).
thf(f14341,plain,
( ~ spl0_17
| spl0_220
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f14340,f12127,f9450,f223]) ).
thf(f14342,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_203
| ~ spl0_279 ),
inference(constrained_superposition,[],[f13571,f8961]) ).
thf(f14343,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_266
| ~ spl0_279 ),
inference(constrained_superposition,[],[f13571,f11199]) ).
thf(f14349,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_203
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f14342]) ).
thf(f14352,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_266
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f14343]) ).
thf(f14353,plain,
( $false
| ~ spl0_15
| ~ spl0_203
| ~ spl0_279
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f14349,f12376]) ).
thf(f14354,plain,
( ~ spl0_15
| ~ spl0_203
| ~ spl0_279
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f14353]) ).
thf(f14355,plain,
( $false
| ~ spl0_15
| ~ spl0_78
| ~ spl0_266
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f14352,f3470]) ).
thf(f14356,plain,
( ~ spl0_15
| ~ spl0_78
| ~ spl0_266
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[],[f14355]) ).
thf(f14372,definition,
( spl0_332
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_332])],[avatar_definition]) ).
thf(f14373,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f14372]) ).
thf(f14392,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f12855]) ).
thf(f14396,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_51
| ~ spl0_317 ),
inference(constrained_superposition,[],[f1395,f14392]) ).
thf(f14400,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_51
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f14396]) ).
thf(f14402,plain,
( $false
| ~ spl0_51
| ~ spl0_317
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f14400,f14373]) ).
thf(f14403,plain,
( ~ spl0_51
| ~ spl0_317
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f14402]) ).
thf(f14411,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_199
| ~ spl0_279 ),
inference(constrained_superposition,[],[f13571,f8947]) ).
thf(f14416,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_199
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f14411]) ).
thf(f14419,plain,
( $false
| ~ spl0_15
| ~ spl0_199
| ~ spl0_244
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f14416,f9881]) ).
thf(f14420,plain,
( ~ spl0_15
| ~ spl0_199
| ~ spl0_244
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[],[f14419]) ).
thf(f14421,plain,
( ~ spl0_5
| spl0_13
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f14020,f364,f210,f96]) ).
thf(f14422,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_13 ),
inference(constrained_superposition,[],[f831,f1883]) ).
thf(f14424,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f14422]) ).
thf(f14448,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f5142,f31]) ).
thf(f14449,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f14448]) ).
thf(f14451,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f161,f65]) ).
thf(f14455,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f14451]) ).
thf(f14499,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_266 ),
inference(constrained_superposition,[],[f345,f11199]) ).
thf(f14501,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f14499]) ).
thf(f14505,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f14455,f36]) ).
thf(f14507,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f14505]) ).
thf(f14509,plain,
( spl0_130
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f14507,f160,f5138]) ).
thf(f14515,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f117,f8950]) ).
thf(f14521,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f359,f8950]) ).
thf(f14525,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f56,f8950]) ).
thf(f14535,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f14525]) ).
thf(f14536,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f14515]) ).
thf(f14542,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f14521]) ).
thf(f14593,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_149
| ~ spl0_197 ),
inference(constrained_superposition,[],[f6122,f8939]) ).
thf(f14595,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_149 ),
inference(constrained_superposition,[],[f6122,f65]) ).
thf(f14598,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f14595]) ).
thf(f14600,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_149
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f14593]) ).
thf(f14605,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_149
| spl0_216 ),
inference(forward_subsumption_resolution,[],[f14598,f12759]) ).
thf(f14606,plain,
( ~ spl0_66
| ~ spl0_149
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f14600,f8938,f6121,f3425]) ).
thf(f14607,plain,
( ~ spl0_20
| ~ spl0_149
| spl0_216 ),
inference(avatar_split_clause,[],[f14605,f9345,f6121,f233]) ).
thf(f14623,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_71
| ~ spl0_157 ),
inference(constrained_superposition,[],[f6471,f3443]) ).
thf(f14628,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_71
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f14623]) ).
thf(f14632,plain,
( $false
| ~ spl0_21
| ~ spl0_71
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f14628,f259]) ).
thf(f14633,plain,
( ~ spl0_21
| ~ spl0_71
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f14632]) ).
thf(f14636,plain,
( spl0_220
| ~ spl0_148
| spl0_149
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f14542,f8949,f6121,f6118,f9450]) ).
thf(f14639,plain,
( ~ spl0_227
| ~ spl0_225
| spl0_255
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f14536,f8949,f10847,f9470,f9479]) ).
thf(f14699,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_125 ),
inference(constrained_superposition,[],[f4927,f173]) ).
thf(f14704,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_125 ),
inference(trivial_inequality_removal,[],[f14699]) ).
thf(f14710,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_71
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f14704,f4672]) ).
thf(f14711,plain,
( ~ spl0_19
| spl0_71
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f14710,f4926,f3442,f230]) ).
thf(f14765,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f14424,f33]) ).
thf(f14776,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f28,f87]) ).
thf(f14777,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f14776]) ).
thf(f14795,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_40
| ~ spl0_157 ),
inference(constrained_superposition,[],[f6471,f751]) ).
thf(f14802,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_40
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f14795]) ).
thf(f14804,plain,
( $false
| ~ spl0_2
| ~ spl0_40
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f14802,f87]) ).
thf(f14805,plain,
( ~ spl0_2
| ~ spl0_40
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f14804]) ).
thf(f14904,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2
| ~ spl0_223 ),
inference(constrained_superposition,[],[f14777,f9464]) ).
thf(f14905,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f14777,f87]) ).
thf(f14906,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f14905]) ).
thf(f14909,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f14904]) ).
thf(f14910,plain,
( spl0_239
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f14906,f86,f9847]) ).
thf(f14912,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_239
| ~ spl0_255 ),
inference(constrained_superposition,[],[f9848,f10848]) ).
thf(f14919,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_239
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f14912]) ).
thf(f14921,plain,
( $false
| ~ spl0_239
| ~ spl0_244
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f14919,f9881]) ).
thf(f14922,plain,
( ~ spl0_239
| ~ spl0_244
| ~ spl0_255 ),
inference(avatar_contradiction_clause,[],[f14921]) ).
thf(f15019,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| ~ spl0_220
| ~ spl0_223 ),
inference(constrained_superposition,[],[f14909,f9451]) ).
thf(f15026,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| ~ spl0_220
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f15019]) ).
thf(f15029,plain,
( $false
| ~ spl0_2
| ~ spl0_26
| ~ spl0_220
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f15026,f372]) ).
thf(f15030,plain,
( ~ spl0_2
| ~ spl0_26
| ~ spl0_220
| ~ spl0_223 ),
inference(avatar_contradiction_clause,[],[f15029]) ).
thf(f15034,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f28,f3450]) ).
thf(f15036,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f15034]) ).
thf(f15042,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_13
| ~ spl0_131 ),
inference(constrained_superposition,[],[f831,f14449]) ).
thf(f15051,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_13
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f15042]) ).
thf(f15056,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_12
| spl0_13
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f15051,f5796]) ).
thf(f15057,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_12
| spl0_13
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f15056,f33]) ).
thf(f15058,plain,
( spl0_22
| spl0_12
| spl0_13
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f15057,f5141,f210,f206,f261]) ).
thf(f15068,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_43
| ~ spl0_219 ),
inference(constrained_superposition,[],[f838,f9447]) ).
thf(f15071,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_43
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f15068]) ).
thf(f15082,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_73
| ~ spl0_223 ),
inference(constrained_superposition,[],[f15036,f9464]) ).
thf(f15084,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_73
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f15082]) ).
thf(f15089,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_73
| ~ spl0_223
| ~ spl0_266 ),
inference(constrained_superposition,[],[f15084,f11199]) ).
thf(f15090,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_73
| ~ spl0_220
| ~ spl0_223 ),
inference(constrained_superposition,[],[f15084,f9451]) ).
thf(f15097,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_73
| ~ spl0_220
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f15090]) ).
thf(f15098,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_73
| ~ spl0_223
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f15089]) ).
thf(f15099,plain,
( $false
| ~ spl0_26
| ~ spl0_73
| ~ spl0_220
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f15097,f372]) ).
thf(f15100,plain,
( ~ spl0_26
| ~ spl0_73
| ~ spl0_220
| ~ spl0_223 ),
inference(avatar_contradiction_clause,[],[f15099]) ).
thf(f15101,plain,
( $false
| ~ spl0_73
| ~ spl0_78
| ~ spl0_223
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f15098,f3470]) ).
thf(f15102,plain,
( ~ spl0_73
| ~ spl0_78
| ~ spl0_223
| ~ spl0_266 ),
inference(avatar_contradiction_clause,[],[f15101]) ).
thf(f15126,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f12123,f37]) ).
thf(f15134,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f15126]) ).
thf(f15136,plain,
( ~ spl0_3
| spl0_223
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f15134,f12122,f9463,f90]) ).
thf(f15143,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_43
| ~ spl0_219
| ~ spl0_266 ),
inference(constrained_superposition,[],[f15071,f11199]) ).
thf(f15144,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_43
| ~ spl0_219
| ~ spl0_220 ),
inference(constrained_superposition,[],[f15071,f9451]) ).
thf(f15148,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_43
| ~ spl0_219
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f15144]) ).
thf(f15151,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_43
| ~ spl0_219
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f15143]) ).
thf(f15153,plain,
( $false
| ~ spl0_43
| ~ spl0_219
| ~ spl0_256
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f15151,f10867]) ).
thf(f15154,plain,
( ~ spl0_43
| ~ spl0_219
| ~ spl0_256
| ~ spl0_266 ),
inference(avatar_contradiction_clause,[],[f15153]) ).
thf(f15186,plain,
( ~ spl0_21
| ~ spl0_43
| ~ spl0_219
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f15148,f9450,f9446,f837,f258]) ).
thf(f15187,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_21 ),
inference(constrained_superposition,[],[f3856,f1883]) ).
thf(f15190,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_21 ),
inference(trivial_inequality_removal,[],[f15187]) ).
thf(f15210,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f15190,f33]) ).
thf(f15215,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_7
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f15210,f5134]) ).
thf(f15218,plain,
( spl0_26
| spl0_2
| spl0_7
| spl0_21 ),
inference(avatar_split_clause,[],[f15215,f258,f139,f86,f371]) ).
thf(f15221,plain,
( spl0_279
| ~ spl0_109
| ~ spl0_15
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f14501,f11198,f217,f4478,f11921]) ).
thf(f15273,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_43
| ~ spl0_216 ),
inference(constrained_superposition,[],[f838,f9346]) ).
thf(f15277,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f28,f9346]) ).
thf(f15278,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f15277]) ).
thf(f15280,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_43
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f15273]) ).
thf(f15297,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_295 ),
inference(constrained_superposition,[],[f738,f12509]) ).
thf(f15301,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_37
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f15297]) ).
thf(f15305,plain,
( $false
| ~ spl0_37
| ~ spl0_288
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f15301,f12376]) ).
thf(f15306,plain,
( ~ spl0_37
| ~ spl0_288
| ~ spl0_295 ),
inference(avatar_contradiction_clause,[],[f15305]) ).
thf(f15329,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_212 ),
inference(constrained_superposition,[],[f28,f9330]) ).
thf(f15331,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f15329]) ).
thf(f15334,plain,
( spl0_39
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f15331,f9329,f746]) ).
thf(f15445,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_43
| ~ spl0_208
| ~ spl0_216 ),
inference(constrained_superposition,[],[f15280,f8978]) ).
thf(f15449,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_43
| ~ spl0_208
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f15445]) ).
thf(f15452,plain,
( $false
| ~ spl0_2
| ~ spl0_43
| ~ spl0_208
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f15449,f87]) ).
thf(f15453,plain,
( ~ spl0_2
| ~ spl0_43
| ~ spl0_208
| ~ spl0_216 ),
inference(avatar_contradiction_clause,[],[f15452]) ).
thf(f15454,plain,
( spl0_146
| ~ spl0_147
| spl0_223
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f14535,f8949,f9463,f6108,f6105]) ).
thf(f15482,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_146
| ~ spl0_206 ),
inference(constrained_superposition,[],[f6106,f8971]) ).
thf(f15494,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_146
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f15482]) ).
thf(f15514,plain,
( ~ spl0_272
| ~ spl0_146
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f15494,f8970,f6105,f11323]) ).
thf(f15523,plain,
( spl0_208
| spl0_124
| ~ spl0_70
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f14063,f8938,f3438,f4922,f8977]) ).
thf(f15559,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_109 ),
inference(constrained_superposition,[],[f738,f4479]) ).
thf(f15562,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_37
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f15559]) ).
thf(f15564,plain,
( $false
| ~ spl0_37
| ~ spl0_78
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f15562,f3470]) ).
thf(f15565,plain,
( ~ spl0_37
| ~ spl0_78
| ~ spl0_109 ),
inference(avatar_contradiction_clause,[],[f15564]) ).
thf(f15614,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_43
| ~ spl0_212
| ~ spl0_216 ),
inference(constrained_superposition,[],[f15280,f9330]) ).
thf(f15620,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_43
| ~ spl0_212
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f15614]) ).
thf(f15624,plain,
( ~ spl0_21
| ~ spl0_43
| ~ spl0_212
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f15620,f9345,f9329,f837,f258]) ).
thf(f15645,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_21
| ~ spl0_32 ),
inference(constrained_superposition,[],[f3856,f10529]) ).
thf(f15649,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_21
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f15645]) ).
thf(f15710,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f12128,f65]) ).
thf(f15717,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f15710]) ).
thf(f15770,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_212
| ~ spl0_316 ),
inference(constrained_superposition,[],[f12844,f9330]) ).
thf(f15775,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_212
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f15770]) ).
thf(f15777,plain,
( spl0_230
| ~ spl0_212
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f15775,f12843,f9329,f9534]) ).
thf(f15809,definition,
( spl0_336
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_336])],[avatar_definition]) ).
thf(f15810,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_336 ),
inference(avatar_component_clause,[],[f15809]) ).
thf(f15824,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_39 ),
inference(constrained_superposition,[],[f747,f218]) ).
thf(f15826,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f747,f1883]) ).
thf(f15827,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_12
| ~ spl0_39 ),
inference(constrained_superposition,[],[f747,f207]) ).
thf(f15830,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_12
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f15827]) ).
thf(f15831,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_15
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f15824]) ).
thf(f15833,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f15826]) ).
thf(f15839,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_212 ),
inference(constrained_superposition,[],[f15830,f9330]) ).
thf(f15842,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f15839]) ).
thf(f15853,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f5496,f8957]) ).
thf(f15857,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f117,f8957]) ).
thf(f15858,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f79,f8957]) ).
thf(f15862,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f44,f8957]) ).
thf(f15876,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f15862]) ).
thf(f15877,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f15858]) ).
thf(f15889,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f15857]) ).
thf(f15892,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f15853]) ).
thf(f15902,definition,
( spl0_339
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_339])],[avatar_definition]) ).
thf(f15903,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f15902]) ).
thf(f15904,plain,
( spl0_265
| spl0_339
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f15877,f8956,f15902,f11157]) ).
thf(f15961,definition,
( spl0_341
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_341])],[avatar_definition]) ).
thf(f15962,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_341 ),
inference(avatar_component_clause,[],[f15961]) ).
thf(f15978,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_341 ),
inference(constrained_superposition,[],[f2252,f15962]) ).
thf(f16081,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f15978,f27]) ).
thf(f16091,plain,
( $false
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f16081,f32]) ).
thf(f16092,plain,
~ spl0_341,
inference(avatar_contradiction_clause,[],[f16091]) ).
thf(f16130,plain,
( spl0_43
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f15278,f9345,f837]) ).
thf(f16131,plain,
( $false
| ~ spl0_12
| ~ spl0_39
| ~ spl0_208
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f8978,f15842]) ).
thf(f16132,plain,
( ~ spl0_12
| ~ spl0_39
| ~ spl0_208
| ~ spl0_212 ),
inference(avatar_contradiction_clause,[],[f16131]) ).
thf(f16136,definition,
( spl0_343
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).
thf(f16137,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_343 ),
inference(avatar_component_clause,[],[f16136]) ).
thf(f16138,plain,
( spl0_265
| ~ spl0_297
| ~ spl0_343
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f15889,f8956,f16136,f12518,f11157]) ).
thf(f16139,plain,
( spl0_78
| spl0_270
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f14074,f8938,f11268,f3469]) ).
thf(f16141,definition,
( spl0_344
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_344])],[avatar_definition]) ).
thf(f16142,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_344 ),
inference(avatar_component_clause,[],[f16141]) ).
thf(f16144,definition,
( spl0_345
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_345])],[avatar_definition]) ).
thf(f16145,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_345 ),
inference(avatar_component_clause,[],[f16144]) ).
thf(f16146,plain,
( ~ spl0_344
| spl0_268
| ~ spl0_345
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f15892,f8956,f16144,f11231,f16141]) ).
thf(f16230,definition,
( spl0_347
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).
thf(f16231,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_347 ),
inference(avatar_component_clause,[],[f16230]) ).
thf(f16232,plain,
( spl0_279
| spl0_347
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f15876,f8956,f16230,f11921]) ).
thf(f16233,plain,
( spl0_53
| spl0_12
| spl0_26
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f15833,f746,f371,f206,f2058]) ).
thf(f16234,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_21
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f15649,f33]) ).
thf(f16243,plain,
( spl0_22
| spl0_12
| spl0_21
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f16234,f397,f258,f206,f261]) ).
thf(f16256,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f28,f9447]) ).
thf(f16259,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f16256]) ).
thf(f16260,plain,
( spl0_43
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f16259,f9446,f837]) ).
thf(f16303,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_157
| ~ spl0_253 ),
inference(constrained_superposition,[],[f6471,f10645]) ).
thf(f16311,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_157
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f16303]) ).
thf(f16315,definition,
( spl0_349
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_349])],[avatar_definition]) ).
thf(f16316,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_349 ),
inference(avatar_component_clause,[],[f16315]) ).
thf(f16318,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_265
| ~ spl0_349 ),
inference(constrained_superposition,[],[f16316,f11158]) ).
thf(f16323,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_265
| ~ spl0_349 ),
inference(trivial_inequality_removal,[],[f16318]) ).
thf(f16324,plain,
( spl0_209
| ~ spl0_265
| ~ spl0_349 ),
inference(avatar_split_clause,[],[f16323,f16315,f11157,f9015]) ).
thf(f16347,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_343 ),
inference(constrained_superposition,[],[f16137,f38]) ).
thf(f16349,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_343 ),
inference(trivial_inequality_removal,[],[f16347]) ).
thf(f16352,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_343 ),
inference(forward_subsumption_resolution,[],[f16349,f33]) ).
thf(f16354,definition,
( spl0_350
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_350])],[avatar_definition]) ).
thf(f16355,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_350 ),
inference(avatar_component_clause,[],[f16354]) ).
thf(f16357,plain,
( spl0_350
| spl0_343 ),
inference(avatar_split_clause,[],[f16352,f16136,f16354]) ).
thf(f16359,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_349
| ~ spl0_350 ),
inference(constrained_superposition,[],[f16316,f16355]) ).
thf(f16364,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_349
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f16359]) ).
thf(f16368,plain,
( spl0_233
| ~ spl0_349
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f16364,f16354,f16315,f9627]) ).
thf(f16396,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f838,f2716]) ).
thf(f16397,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ X1 ) )
| ( $true != $true ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f838,f717]) ).
thf(f16403,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( z = X1 )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f16397]) ).
thf(f16406,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f16396]) ).
thf(f16414,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f199,f8950]) ).
thf(f16443,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f16414]) ).
thf(f16455,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_200
| spl0_260 ),
inference(forward_subsumption_resolution,[],[f16443,f12021]) ).
thf(f16457,plain,
( spl0_269
| ~ spl0_200
| spl0_260 ),
inference(avatar_split_clause,[],[f16455,f10954,f8949,f11264]) ).
thf(f16479,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_344 ),
inference(constrained_superposition,[],[f16142,f38]) ).
thf(f16484,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_344 ),
inference(trivial_inequality_removal,[],[f16479]) ).
thf(f16489,plain,
( spl0_301
| spl0_233
| spl0_344 ),
inference(avatar_split_clause,[],[f16484,f16141,f9627,f12533]) ).
thf(f16530,plain,
( spl0_239
| spl0_238
| spl0_2
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f16406,f837,f86,f9844,f9847]) ).
thf(f16531,plain,
( spl0_241
| spl0_239
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f16403,f837,f9847,f9862]) ).
thf(f16590,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f44,f8971]) ).
thf(f16608,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f16590]) ).
thf(f16622,plain,
( spl0_279
| spl0_275
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f16608,f8970,f11353,f11921]) ).
thf(f16648,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f11269,f64]) ).
thf(f16655,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f16648]) ).
thf(f16662,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_157
| ~ spl0_253
| ~ spl0_270 ),
inference(forward_subsumption_resolution,[],[f16655,f16311]) ).
thf(f16665,plain,
( ~ spl0_3
| ~ spl0_74
| ~ spl0_157
| ~ spl0_253
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f16662,f11268,f10644,f6470,f3454,f90]) ).
thf(f16667,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_74 ),
inference(constrained_superposition,[],[f3455,f64]) ).
thf(f16670,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_74 ),
inference(trivial_inequality_removal,[],[f16667]) ).
thf(f16771,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_257 ),
inference(constrained_superposition,[],[f10870,f172]) ).
thf(f16775,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_257 ),
inference(constrained_superposition,[],[f10870,f36]) ).
thf(f16780,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_257 ),
inference(trivial_inequality_removal,[],[f16775]) ).
thf(f16781,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_257 ),
inference(trivial_inequality_removal,[],[f16771]) ).
thf(f16789,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_259 ),
inference(constrained_superposition,[],[f10879,f64]) ).
thf(f16801,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f16789]) ).
thf(f16869,definition,
( spl0_353
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_353])],[avatar_definition]) ).
thf(f16870,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| spl0_353 ),
inference(avatar_component_clause,[],[f16869]) ).
thf(f16881,definition,
( spl0_354
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_354])],[avatar_definition]) ).
thf(f16882,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_354 ),
inference(avatar_component_clause,[],[f16881]) ).
thf(f16913,definition,
( spl0_355
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_355])],[avatar_definition]) ).
thf(f16914,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_355 ),
inference(avatar_component_clause,[],[f16913]) ).
thf(f16919,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_355 ),
inference(constrained_superposition,[],[f16914,f31]) ).
thf(f16923,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_355 ),
inference(trivial_inequality_removal,[],[f16919]) ).
thf(f16928,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_295
| spl0_355 ),
inference(forward_subsumption_resolution,[],[f16923,f12872]) ).
thf(f16932,plain,
( spl0_290
| spl0_295
| spl0_355 ),
inference(avatar_split_clause,[],[f16928,f16913,f12508,f12416]) ).
thf(f16965,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f16231,f2252]) ).
thf(f16968,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f16231,f64]) ).
thf(f16976,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f16965]) ).
thf(f16979,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f16968]) ).
thf(f16983,plain,
( spl0_350
| ~ spl0_227
| ~ spl0_3
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f16979,f16230,f90,f9479,f16354]) ).
thf(f16984,plain,
( ~ spl0_262
| spl0_301
| ~ spl0_68
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f16976,f16230,f3432,f12533,f11138]) ).
thf(f16990,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_345 ),
inference(constrained_superposition,[],[f16145,f170]) ).
thf(f16997,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_345 ),
inference(trivial_inequality_removal,[],[f16990]) ).
thf(f16999,definition,
( spl0_356
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_356])],[avatar_definition]) ).
thf(f17000,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_356 ),
inference(avatar_component_clause,[],[f16999]) ).
thf(f17004,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_345 ),
inference(forward_subsumption_resolution,[],[f16997,f33]) ).
thf(f17005,plain,
( spl0_356
| spl0_345 ),
inference(avatar_split_clause,[],[f17004,f16144,f16999]) ).
thf(f17079,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_339 ),
inference(constrained_superposition,[],[f15903,f172]) ).
thf(f17090,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f17079]) ).
thf(f17137,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_197
| ~ spl0_206 ),
inference(constrained_superposition,[],[f14071,f8971]) ).
thf(f17150,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_197
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f17137]) ).
thf(f17152,definition,
( spl0_358
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_358])],[avatar_definition]) ).
thf(f17153,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_358 ),
inference(avatar_component_clause,[],[f17152]) ).
thf(f17154,plain,
( spl0_358
| ~ spl0_263
| ~ spl0_197
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f17150,f8970,f8938,f11141,f17152]) ).
thf(f17161,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_358 ),
inference(constrained_superposition,[],[f17153,f37]) ).
thf(f17164,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f17161]) ).
thf(f17169,plain,
( ~ spl0_68
| spl0_223
| ~ spl0_358 ),
inference(avatar_split_clause,[],[f17164,f17152,f9463,f3432]) ).
thf(f17194,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_302 ),
inference(constrained_superposition,[],[f12538,f172]) ).
thf(f17196,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_302 ),
inference(constrained_superposition,[],[f12538,f64]) ).
thf(f17198,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_302 ),
inference(constrained_superposition,[],[f12538,f36]) ).
thf(f17202,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f17194]) ).
thf(f17204,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f17198]) ).
thf(f17208,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f17196]) ).
thf(f17306,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_256
| ~ spl0_274 ),
inference(constrained_superposition,[],[f11347,f10867]) ).
thf(f17313,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_256
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f17306]) ).
thf(f17319,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_78
| ~ spl0_256
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f17313,f8264]) ).
thf(f17322,plain,
( spl0_22
| spl0_78
| ~ spl0_256
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f17319,f11346,f10866,f3469,f261]) ).
thf(f17327,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_43
| ~ spl0_130 ),
inference(constrained_superposition,[],[f838,f5139]) ).
thf(f17344,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_43
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f17327]) ).
thf(f17395,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f28,f94]) ).
thf(f17398,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f17395]) ).
thf(f17405,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f17398,f28]) ).
thf(f17409,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_26 ),
inference(constrained_superposition,[],[f17405,f372]) ).
thf(f17434,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f17409]) ).
thf(f17446,plain,
( spl0_37
| ~ spl0_4
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f17434,f371,f93,f737]) ).
thf(f17449,plain,
( spl0_219
| ~ spl0_5
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f15717,f12127,f96,f9446]) ).
thf(f17500,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_10
| spl0_13 ),
inference(constrained_superposition,[],[f831,f164]) ).
thf(f17512,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_10
| ~ spl0_39 ),
inference(constrained_superposition,[],[f747,f164]) ).
thf(f17517,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_10
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f17512]) ).
thf(f17525,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_10
| spl0_13 ),
inference(trivial_inequality_removal,[],[f17500]) ).
thf(f17530,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_10
| spl0_12
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f17517,f5796]) ).
thf(f17531,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_219 ),
inference(avatar_component_clause,[],[f9446]) ).
thf(f17533,plain,
( $false
| ~ spl0_10
| spl0_12
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f17525,f5796]) ).
thf(f17534,plain,
( ~ spl0_10
| spl0_12
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f17533]) ).
thf(f17535,plain,
( spl0_51
| ~ spl0_10
| spl0_12
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f17530,f746,f206,f163,f1394]) ).
thf(f17557,plain,
( ~ spl0_224
| spl0_288
| ~ spl0_70
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f17204,f12537,f3438,f12375,f9467]) ).
thf(f17560,plain,
( ~ spl0_228
| spl0_295
| ~ spl0_20
| ~ spl0_339 ),
inference(avatar_split_clause,[],[f17090,f15902,f233,f12508,f9483]) ).
thf(f17586,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_43
| ~ spl0_130
| ~ spl0_223 ),
inference(constrained_superposition,[],[f17344,f9464]) ).
thf(f17591,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_43
| ~ spl0_130
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f17586]) ).
thf(f17595,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_2 ),
inference(avatar_component_clause,[],[f86]) ).
thf(f17596,plain,
( ~ spl0_2
| spl0_279
| ~ spl0_43
| ~ spl0_130
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f17591,f9463,f5138,f837,f11921,f86]) ).
thf(f17601,plain,
( ~ spl0_79
| ~ spl0_227
| spl0_350
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f17208,f12537,f16354,f9479,f3475]) ).
thf(f17622,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_73
| ~ spl0_157 ),
inference(constrained_superposition,[],[f6471,f3450]) ).
thf(f17626,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_73
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f17622]) ).
thf(f17629,plain,
( $false
| ~ spl0_2
| ~ spl0_73
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f17626,f87]) ).
thf(f17630,plain,
( ~ spl0_2
| ~ spl0_73
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f17629]) ).
thf(f17631,plain,
( spl0_256
| spl0_74 ),
inference(avatar_split_clause,[],[f16670,f3454,f10866]) ).
thf(f17634,plain,
( ~ spl0_19
| ~ spl0_74
| spl0_255
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f16801,f10878,f10847,f3454,f230]) ).
thf(f17655,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_15
| ~ spl0_216
| ~ spl0_244 ),
inference(constrained_superposition,[],[f14011,f9346]) ).
thf(f17659,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_15
| ~ spl0_216
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f17655]) ).
thf(f17664,plain,
( spl0_12
| spl0_7
| spl0_26
| spl0_13 ),
inference(avatar_split_clause,[],[f14765,f210,f371,f139,f206]) ).
thf(f17665,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_216
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f17659,f9880,f9345,f217,f139]) ).
thf(f17673,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_12
| ~ spl0_39 ),
inference(constrained_superposition,[],[f747,f207]) ).
thf(f17676,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_12
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f17673]) ).
thf(f17766,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_212 ),
inference(constrained_superposition,[],[f17676,f9330]) ).
thf(f17771,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f17766]) ).
thf(f17821,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_197
| ~ spl0_250 ),
inference(constrained_superposition,[],[f10313,f8939]) ).
thf(f17842,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_197
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f17821]) ).
thf(f17863,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_197
| ~ spl0_212
| ~ spl0_250 ),
inference(forward_subsumption_resolution,[],[f17842,f17771]) ).
thf(f17868,plain,
( ~ spl0_258
| ~ spl0_12
| ~ spl0_39
| ~ spl0_197
| ~ spl0_212
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f17863,f10312,f9329,f8938,f746,f206,f10873]) ).
thf(f17880,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_220 ),
inference(constrained_superposition,[],[f17676,f9451]) ).
thf(f17883,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f17880]) ).
thf(f17886,plain,
( $false
| ~ spl0_12
| ~ spl0_39
| ~ spl0_220
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f17883,f9464]) ).
thf(f17887,plain,
( ~ spl0_12
| ~ spl0_39
| ~ spl0_220
| ~ spl0_223 ),
inference(avatar_contradiction_clause,[],[f17886]) ).
thf(f17888,plain,
( spl0_295
| ~ spl0_228
| ~ spl0_66
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f17202,f12537,f3425,f9483,f12508]) ).
thf(f17903,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_21
| ~ spl0_238 ),
inference(constrained_superposition,[],[f3856,f9845]) ).
thf(f17904,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_21
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f17903]) ).
thf(f17910,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_21
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f17904,f33]) ).
thf(f17913,plain,
( spl0_26
| spl0_22
| spl0_21
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f17910,f9844,f258,f261,f371]) ).
thf(f17980,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f392,f31]) ).
thf(f17986,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f17980]) ).
thf(f18041,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_288 ),
inference(constrained_superposition,[],[f342,f12376]) ).
thf(f18044,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_15
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f18041]) ).
thf(f18075,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_76
| ~ spl0_197 ),
inference(constrained_superposition,[],[f3463,f8939]) ).
thf(f18085,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f29,f8939]) ).
thf(f18090,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f18085]) ).
thf(f18099,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_76
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f18075]) ).
thf(f18155,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_157 ),
inference(constrained_superposition,[],[f6471,f1883]) ).
thf(f18157,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f18155]) ).
thf(f18161,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_157
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[],[f18157,f9848]) ).
thf(f18188,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_39
| ~ spl0_199 ),
inference(constrained_superposition,[],[f15831,f8947]) ).
thf(f18190,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_199 ),
inference(constrained_superposition,[],[f345,f8947]) ).
thf(f18194,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_39
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f18188]) ).
thf(f18195,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f18190]) ).
thf(f18199,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_15
| ~ spl0_205 ),
inference(constrained_superposition,[],[f345,f8968]) ).
thf(f18205,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f18199]) ).
thf(f18217,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_155
| ~ spl0_301 ),
inference(constrained_superposition,[],[f6441,f12534]) ).
thf(f18225,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_155
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f18217]) ).
thf(f18232,plain,
( ~ spl0_295
| ~ spl0_155
| ~ spl0_301 ),
inference(avatar_split_clause,[],[f18225,f12533,f6440,f12508]) ).
thf(f18319,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_288
| ~ spl0_332 ),
inference(constrained_superposition,[],[f18044,f14373]) ).
thf(f18324,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_15
| ~ spl0_288
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f18319]) ).
thf(f18326,plain,
( $false
| ~ spl0_7
| ~ spl0_15
| ~ spl0_288
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f18324,f140]) ).
thf(f18327,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_288
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f18326]) ).
thf(f18342,plain,
( ~ spl0_147
| ~ spl0_70
| spl0_253
| ~ spl0_76
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f18099,f8938,f3462,f10644,f3438,f6108]) ).
thf(f18527,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_296 ),
inference(constrained_superposition,[],[f12512,f64]) ).
thf(f18533,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_296 ),
inference(trivial_inequality_removal,[],[f18527]) ).
thf(f18540,plain,
( spl0_350
| ~ spl0_227
| ~ spl0_19
| ~ spl0_296 ),
inference(avatar_split_clause,[],[f18533,f12511,f230,f9479,f16354]) ).
thf(f18565,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f18090,f65]) ).
thf(f18573,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f18565]) ).
thf(f18575,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_197
| spl0_216 ),
inference(forward_subsumption_resolution,[],[f18573,f12759]) ).
thf(f18577,definition,
( spl0_360
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_360])],[avatar_definition]) ).
thf(f18578,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_360 ),
inference(avatar_component_clause,[],[f18577]) ).
thf(f18579,plain,
( spl0_360
| ~ spl0_74
| ~ spl0_197
| spl0_216 ),
inference(avatar_split_clause,[],[f18575,f9345,f8938,f3454,f18577]) ).
thf(f18661,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f173,f12417]) ).
thf(f18804,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f18661,f32]) ).
thf(f18828,plain,
( $false
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f18804,f27]) ).
thf(f18829,plain,
~ spl0_290,
inference(avatar_contradiction_clause,[],[f18828]) ).
thf(f18849,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_223 ),
inference(avatar_component_clause,[],[f9463]) ).
thf(f18858,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f17986,f31]) ).
thf(f18861,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f18858]) ).
thf(f19092,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_245 ),
inference(constrained_superposition,[],[f2252,f9893]) ).
thf(f19275,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_245 ),
inference(forward_subsumption_resolution,[],[f19092,f32]) ).
thf(f19305,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ~ spl0_245 ),
inference(forward_subsumption_resolution,[],[f19275,f27]) ).
thf(f19316,plain,
( spl0_114
| ~ spl0_245 ),
inference(avatar_split_clause,[],[f19305,f9892,f4649]) ).
thf(f19342,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_71 ),
inference(constrained_superposition,[],[f4672,f1883]) ).
thf(f19345,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_71 ),
inference(trivial_inequality_removal,[],[f19342]) ).
thf(f19411,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f2252,f13653]) ).
thf(f19585,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f19411,f32]) ).
thf(f19600,plain,
( $false
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f19585,f27]) ).
thf(f19601,plain,
~ spl0_328,
inference(avatar_contradiction_clause,[],[f19600]) ).
thf(f19628,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_145 ),
inference(constrained_superposition,[],[f6091,f65]) ).
thf(f19636,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f19628]) ).
thf(f19879,plain,
( spl0_279
| ~ spl0_260
| ~ spl0_15
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f18195,f8946,f217,f10954,f11921]) ).
thf(f19883,plain,
( ~ spl0_276
| spl0_244
| ~ spl0_15
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f18205,f8967,f217,f9880,f11510]) ).
thf(f19885,plain,
( ~ spl0_20
| spl0_260
| ~ spl0_65
| ~ spl0_257 ),
inference(avatar_split_clause,[],[f16781,f10869,f3422,f10954,f233]) ).
thf(f19888,plain,
( spl0_78
| spl0_208
| spl0_244
| spl0_198
| spl0_83 ),
inference(avatar_split_clause,[],[f8921,f3521,f8941,f9880,f8977,f3469]) ).
thf(f19889,plain,
( ~ spl0_20
| spl0_103
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f19636,f6090,f4218,f233]) ).
thf(f19891,plain,
( spl0_73
| spl0_78
| spl0_349
| ~ spl0_157
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f18161,f9847,f6470,f16315,f3469,f3449]) ).
thf(f19892,plain,
( ~ spl0_5
| spl0_244
| ~ spl0_68
| ~ spl0_257 ),
inference(avatar_split_clause,[],[f16780,f10869,f3432,f9880,f96]) ).
thf(f19893,plain,
( ~ spl0_220
| spl0_244
| ~ spl0_15
| ~ spl0_39
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f18194,f8946,f746,f217,f9880,f9450]) ).
thf(f19895,plain,
( spl0_78
| spl0_244
| spl0_253
| spl0_73
| spl0_83 ),
inference(avatar_split_clause,[],[f8922,f3521,f3449,f10644,f9880,f3469]) ).
thf(f19903,plain,
( spl0_26
| spl0_73
| spl0_22
| spl0_78
| spl0_71 ),
inference(avatar_split_clause,[],[f19345,f3442,f3469,f261,f3449,f371]) ).
thf(f19915,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| spl0_26 ),
inference(constrained_superposition,[],[f753,f2716]) ).
thf(f19918,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ z ) ) )
| spl0_26 ),
inference(trivial_inequality_removal,[],[f19915]) ).
thf(f19942,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_78 ),
inference(constrained_superposition,[],[f342,f3470]) ).
thf(f19947,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_15
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f19942]) ).
thf(f19982,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_64
| ~ spl0_279 ),
inference(constrained_superposition,[],[f2797,f11922]) ).
thf(f19986,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_64
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f19982]) ).
thf(f19987,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_64
| spl0_223
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f19986,f18849]) ).
thf(f19988,plain,
( $false
| ~ spl0_64
| spl0_223
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f19987,f33]) ).
thf(f19989,plain,
( ~ spl0_64
| spl0_223
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[],[f19988]) ).
thf(f19994,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_307 ),
inference(constrained_superposition,[],[f12558,f37]) ).
thf(f19996,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_307 ),
inference(trivial_inequality_removal,[],[f19994]) ).
thf(f20082,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_56
| ~ spl0_350 ),
inference(constrained_superposition,[],[f2073,f16355]) ).
thf(f20089,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_56
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f20082]) ).
thf(f20091,plain,
( spl0_235
| ~ spl0_56
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f20089,f16354,f2072,f9643]) ).
thf(f20174,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_39
| ~ spl0_301 ),
inference(constrained_superposition,[],[f15831,f12534]) ).
thf(f20176,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_301
| ~ spl0_322 ),
inference(constrained_superposition,[],[f12897,f12534]) ).
thf(f20177,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_78
| ~ spl0_301 ),
inference(constrained_superposition,[],[f19947,f12534]) ).
thf(f20181,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_39
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f20174]) ).
thf(f20183,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_15
| ~ spl0_78
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f20177]) ).
thf(f20184,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_301
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f20176]) ).
thf(f20186,plain,
( spl0_267
| ~ spl0_301
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f20184,f12896,f12533,f11204]) ).
thf(f20194,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_43
| ~ spl0_216 ),
inference(constrained_superposition,[],[f838,f9346]) ).
thf(f20197,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_43
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f20194]) ).
thf(f20232,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_28
| ~ spl0_197 ),
inference(constrained_superposition,[],[f380,f8939]) ).
thf(f20235,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_6
| ~ spl0_197 ),
inference(constrained_superposition,[],[f137,f8939]) ).
thf(f20255,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_28
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f20232]) ).
thf(f20273,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_6
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f20235]) ).
thf(f20277,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_6
| spl0_103
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f20273,f5857]) ).
thf(f20278,plain,
( ~ spl0_151
| ~ spl0_207
| ~ spl0_6
| spl0_103
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f20277,f8938,f4218,f136,f8974,f6129]) ).
thf(f20285,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_360 ),
inference(constrained_superposition,[],[f18578,f172]) ).
thf(f20295,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f20285]) ).
thf(f20300,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_109
| ~ spl0_360 ),
inference(forward_subsumption_resolution,[],[f20295,f8291]) ).
thf(f20301,plain,
( ~ spl0_20
| spl0_109
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f20300,f18577,f4478,f233]) ).
thf(f20337,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_43
| ~ spl0_216 ),
inference(constrained_superposition,[],[f20197,f1883]) ).
thf(f20340,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_43
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f20337]) ).
thf(f20344,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_43
| ~ spl0_216
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[],[f20340,f9848]) ).
thf(f20345,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_43
| ~ spl0_216
| ~ spl0_239
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f20344,f12879]) ).
thf(f20347,definition,
( spl0_366
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
thf(f20348,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f20347]) ).
thf(f20349,plain,
( spl0_208
| spl0_366
| ~ spl0_43
| ~ spl0_216
| ~ spl0_239
| spl0_244 ),
inference(avatar_split_clause,[],[f20345,f9880,f9847,f9345,f837,f20347,f8977]) ).
thf(f20359,plain,
( spl0_303
| spl0_307 ),
inference(avatar_split_clause,[],[f19996,f12557,f12541]) ).
thf(f20360,plain,
( spl0_60
| spl0_12
| spl0_26 ),
inference(avatar_split_clause,[],[f19918,f371,f206,f2777]) ).
thf(f20362,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_12
| ~ spl0_39 ),
inference(constrained_superposition,[],[f747,f207]) ).
thf(f20365,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_12
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f20362]) ).
thf(f20434,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_108
| ~ spl0_356 ),
inference(constrained_superposition,[],[f4454,f17000]) ).
thf(f20441,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_108
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f20434]) ).
thf(f20446,plain,
( $false
| ~ spl0_108
| ~ spl0_317
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f20441,f14392]) ).
thf(f20447,plain,
( ~ spl0_108
| ~ spl0_317
| ~ spl0_356 ),
inference(avatar_contradiction_clause,[],[f20446]) ).
thf(f20489,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_39
| ~ spl0_78
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f20181,f20183]) ).
thf(f20490,plain,
( ~ spl0_148
| spl0_71
| ~ spl0_207
| ~ spl0_28
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f20255,f8938,f379,f8974,f3442,f6118]) ).
thf(f20492,plain,
( ~ spl0_71
| ~ spl0_15
| ~ spl0_39
| ~ spl0_78
| ~ spl0_301 ),
inference(avatar_split_clause,[],[f20489,f12533,f3469,f746,f217,f3442]) ).
thf(f20536,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_71 ),
inference(constrained_superposition,[],[f20365,f3443]) ).
thf(f20541,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f20536]) ).
thf(f20544,plain,
( $false
| ~ spl0_12
| ~ spl0_39
| ~ spl0_71
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f20541,f3450]) ).
thf(f20545,plain,
( ~ spl0_12
| ~ spl0_39
| ~ spl0_71
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f20544]) ).
thf(f20548,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f28,f87]) ).
thf(f20549,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f20548]) ).
thf(f20624,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_265
| ~ spl0_366 ),
inference(constrained_superposition,[],[f20348,f11158]) ).
thf(f20625,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_239
| ~ spl0_265 ),
inference(constrained_superposition,[],[f9848,f11158]) ).
thf(f20628,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_265
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f20624]) ).
thf(f20630,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_239
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f20625]) ).
thf(f20632,plain,
( spl0_328
| ~ spl0_265
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f20628,f20347,f11157,f13652]) ).
thf(f20633,plain,
( $false
| ~ spl0_239
| ~ spl0_265
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f20630,f11922]) ).
thf(f20634,plain,
( ~ spl0_239
| ~ spl0_265
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[],[f20633]) ).
thf(f20681,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_198 ),
inference(constrained_superposition,[],[f342,f8942]) ).
thf(f20692,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_15
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f20681]) ).
thf(f20762,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f44,f8950]) ).
thf(f20794,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f20762]) ).
thf(f20797,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_200
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f20794,f12879]) ).
thf(f20799,plain,
( spl0_275
| ~ spl0_200
| spl0_244 ),
inference(avatar_split_clause,[],[f20797,f9880,f8949,f11353]) ).
thf(f20866,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_198 ),
inference(constrained_superposition,[],[f20692,f1883]) ).
thf(f20869,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f20866]) ).
thf(f20925,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_358 ),
inference(constrained_superposition,[],[f17153,f65]) ).
thf(f20927,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f20925]) ).
thf(f20935,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_219
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f20927,f17531]) ).
thf(f20937,plain,
( ~ spl0_74
| spl0_219
| ~ spl0_358 ),
inference(avatar_split_clause,[],[f20935,f17152,f9446,f3454]) ).
thf(f21018,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_200
| ~ spl0_257 ),
inference(constrained_superposition,[],[f10870,f8950]) ).
thf(f21033,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_200
| ~ spl0_257 ),
inference(trivial_inequality_removal,[],[f21018]) ).
thf(f21036,plain,
( ~ spl0_263
| ~ spl0_227
| ~ spl0_200
| ~ spl0_257 ),
inference(avatar_split_clause,[],[f21033,f10869,f8949,f9479,f11141]) ).
thf(f21037,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_200
| ~ spl0_259 ),
inference(constrained_superposition,[],[f10879,f8950]) ).
thf(f21052,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_200
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f21037]) ).
thf(f21055,plain,
( ~ spl0_228
| ~ spl0_263
| ~ spl0_200
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f21052,f10878,f8949,f11141,f9483]) ).
thf(f21075,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f11273,f2252]) ).
thf(f21076,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f11273,f172]) ).
thf(f21088,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f21076]) ).
thf(f21089,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f21075]) ).
thf(f21112,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f11147,f172]) ).
thf(f21116,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f11147,f36]) ).
thf(f21120,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f21112]) ).
thf(f21127,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f21116]) ).
thf(f21163,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f28,f2778]) ).
thf(f21172,plain,
( ( z
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| spl0_13
| ~ spl0_60 ),
inference(constrained_superposition,[],[f831,f2778]) ).
thf(f21175,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_13
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f21172]) ).
thf(f21181,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f21163]) ).
thf(f21187,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ X0 @ X2 ) ) )
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f21181,f28]) ).
thf(f21236,definition,
( spl0_371
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_371])],[avatar_definition]) ).
thf(f21237,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_371 ),
inference(avatar_component_clause,[],[f21236]) ).
thf(f21351,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_31
| spl0_276 ),
inference(constrained_superposition,[],[f12377,f18861]) ).
thf(f21358,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_31
| spl0_109 ),
inference(constrained_superposition,[],[f8291,f18861]) ).
thf(f21372,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_31
| spl0_276 ),
inference(trivial_inequality_removal,[],[f21351]) ).
thf(f21374,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_31
| spl0_109 ),
inference(trivial_inequality_removal,[],[f21358]) ).
thf(f21377,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_31
| spl0_219
| spl0_276 ),
inference(forward_subsumption_resolution,[],[f21372,f17531]) ).
thf(f21378,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_31
| spl0_83
| spl0_109 ),
inference(forward_subsumption_resolution,[],[f21374,f8904]) ).
thf(f21379,plain,
( spl0_235
| spl0_233
| ~ spl0_31
| spl0_219
| spl0_276 ),
inference(avatar_split_clause,[],[f21377,f11510,f9446,f391,f9627,f9643]) ).
thf(f21380,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_31
| spl0_83
| spl0_103
| spl0_109 ),
inference(forward_subsumption_resolution,[],[f21378,f5857]) ).
thf(f21381,plain,
( spl0_104
| ~ spl0_31
| spl0_83
| spl0_103
| spl0_109 ),
inference(avatar_split_clause,[],[f21380,f4478,f4218,f3521,f391,f4221]) ).
thf(f21387,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_78
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f20869,f19947]) ).
thf(f21400,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_13
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f21175,f30]) ).
thf(f21414,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_15
| ~ spl0_78
| ~ spl0_198
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f21387,f12879]) ).
thf(f21418,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_13
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f21400,f33]) ).
thf(f21421,plain,
( spl0_208
| spl0_322
| ~ spl0_15
| ~ spl0_78
| ~ spl0_198
| spl0_244 ),
inference(avatar_split_clause,[],[f21414,f9880,f8941,f3469,f217,f12896,f8977]) ).
thf(f21426,plain,
( spl0_7
| spl0_13
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f21418,f2777,f210,f139]) ).
thf(f21427,plain,
( spl0_268
| ~ spl0_74
| ~ spl0_281
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f21089,f11272,f12102,f3454,f11231]) ).
thf(f21465,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_13
| ~ spl0_241 ),
inference(constrained_superposition,[],[f831,f9863]) ).
thf(f21489,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_13
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f21465]) ).
thf(f21492,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_13
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f21489,f33]) ).
thf(f21494,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_12
| spl0_13
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f21492,f5796]) ).
thf(f21496,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_12
| spl0_13
| spl0_26
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f21494,f753]) ).
thf(f21498,plain,
( spl0_22
| spl0_12
| spl0_13
| spl0_26
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f21496,f9862,f371,f210,f206,f261]) ).
thf(f21500,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60
| ~ spl0_73 ),
inference(constrained_superposition,[],[f21187,f3450]) ).
thf(f21503,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_60
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f21500]) ).
thf(f21505,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_60
| ~ spl0_73
| spl0_83 ),
inference(forward_subsumption_resolution,[],[f21503,f8904]) ).
thf(f21506,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_60
| ~ spl0_73
| spl0_83 ),
inference(forward_subsumption_resolution,[],[f21505,f33]) ).
thf(f21507,plain,
( spl0_82
| ~ spl0_60
| ~ spl0_73
| spl0_83 ),
inference(avatar_split_clause,[],[f21506,f3521,f3449,f2777,f3518]) ).
thf(f21536,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_60
| ~ spl0_71 ),
inference(constrained_superposition,[],[f21187,f3443]) ).
thf(f21539,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f21536]) ).
thf(f21541,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_60
| ~ spl0_71
| spl0_83 ),
inference(forward_subsumption_resolution,[],[f21539,f8904]) ).
thf(f21542,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_60
| ~ spl0_71
| spl0_83 ),
inference(forward_subsumption_resolution,[],[f21541,f33]) ).
thf(f21543,plain,
( spl0_108
| ~ spl0_60
| ~ spl0_71
| spl0_83 ),
inference(avatar_split_clause,[],[f21542,f3521,f3442,f2777,f4453]) ).
thf(f21600,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_73 ),
inference(constrained_superposition,[],[f20549,f3450]) ).
thf(f21607,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f21600]) ).
thf(f21608,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_71
| ~ spl0_73 ),
inference(constrained_superposition,[],[f21607,f3443]) ).
thf(f21612,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| ~ spl0_71
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f21608]) ).
thf(f21619,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f117,f8939]) ).
thf(f21654,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f21619]) ).
thf(f21662,definition,
( spl0_381
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_381])],[avatar_definition]) ).
thf(f21663,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f21662]) ).
thf(f21727,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_232
| ~ spl0_255 ),
inference(constrained_superposition,[],[f9586,f10848]) ).
thf(f21734,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_232
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f21727]) ).
thf(f21738,plain,
( $false
| ~ spl0_2
| ~ spl0_232
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f21734,f87]) ).
thf(f21739,plain,
( ~ spl0_2
| ~ spl0_232
| ~ spl0_255 ),
inference(avatar_contradiction_clause,[],[f21738]) ).
thf(f21741,plain,
( ~ spl0_26
| ~ spl0_2
| ~ spl0_71
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f21612,f3449,f3442,f86,f371]) ).
thf(f21775,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_256 ),
inference(constrained_superposition,[],[f28,f10867]) ).
thf(f21776,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f21775]) ).
thf(f21778,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_255
| ~ spl0_349 ),
inference(constrained_superposition,[],[f16316,f10848]) ).
thf(f21782,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_255
| ~ spl0_349 ),
inference(trivial_inequality_removal,[],[f21778]) ).
thf(f21784,plain,
( $false
| spl0_83
| ~ spl0_255
| ~ spl0_349 ),
inference(forward_subsumption_resolution,[],[f21782,f8904]) ).
thf(f21785,plain,
( spl0_83
| ~ spl0_255
| ~ spl0_349 ),
inference(avatar_contradiction_clause,[],[f21784]) ).
thf(f21787,plain,
( ~ spl0_20
| spl0_276
| ~ spl0_258
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f21088,f11272,f10873,f11510,f233]) ).
thf(f21788,plain,
( ~ spl0_66
| spl0_276
| ~ spl0_258
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f21120,f11146,f10873,f11510,f3425]) ).
thf(f21802,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_12
| ~ spl0_39 ),
inference(constrained_superposition,[],[f747,f207]) ).
thf(f21803,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f28,f207]) ).
thf(f21804,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f21803]) ).
thf(f21805,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_12
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f21802]) ).
thf(f21837,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_216
| ~ spl0_371 ),
inference(constrained_superposition,[],[f21237,f9346]) ).
thf(f21840,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_216
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f21837]) ).
thf(f21843,plain,
( $false
| ~ spl0_208
| ~ spl0_216
| ~ spl0_371 ),
inference(forward_subsumption_resolution,[],[f21840,f8978]) ).
thf(f21844,plain,
( ~ spl0_208
| ~ spl0_216
| ~ spl0_371 ),
inference(avatar_contradiction_clause,[],[f21843]) ).
thf(f21866,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_317 ),
inference(constrained_superposition,[],[f21805,f14392]) ).
thf(f21872,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f21866]) ).
thf(f21873,plain,
( $false
| ~ spl0_12
| ~ spl0_39
| ~ spl0_303
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f21872,f12542]) ).
thf(f21874,plain,
( ~ spl0_12
| ~ spl0_39
| ~ spl0_303
| ~ spl0_317 ),
inference(avatar_contradiction_clause,[],[f21873]) ).
thf(f21926,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_208 ),
inference(constrained_superposition,[],[f21804,f8978]) ).
thf(f21933,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_12
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f21926]) ).
thf(f21948,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_276 ),
inference(constrained_superposition,[],[f738,f11511]) ).
thf(f21951,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_37
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f21948]) ).
thf(f21955,plain,
( $false
| ~ spl0_37
| ~ spl0_276
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f21951,f11922]) ).
thf(f21956,plain,
( ~ spl0_37
| ~ spl0_276
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[],[f21955]) ).
thf(f22002,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_39
| ~ spl0_260 ),
inference(constrained_superposition,[],[f747,f10955]) ).
thf(f22004,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_39
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f22002]) ).
thf(f22052,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_157
| ~ spl0_253 ),
inference(constrained_superposition,[],[f6471,f10645]) ).
thf(f22059,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_157
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f22052]) ).
thf(f22060,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_157
| ~ spl0_253 ),
inference(constrained_superposition,[],[f22059,f1883]) ).
thf(f22062,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_157
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f22060]) ).
thf(f22064,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_2
| ~ spl0_157
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f22062,f17595]) ).
thf(f22066,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_2
| ~ spl0_157
| spl0_244
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f22064,f12879]) ).
thf(f22067,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_2
| ~ spl0_157
| spl0_244
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f22066,f33]) ).
thf(f22068,plain,
( $false
| spl0_2
| spl0_7
| ~ spl0_157
| spl0_244
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f22067,f5134]) ).
thf(f22069,plain,
( spl0_2
| spl0_7
| ~ spl0_157
| spl0_244
| ~ spl0_253 ),
inference(avatar_contradiction_clause,[],[f22068]) ).
thf(f22108,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_108
| ~ spl0_256 ),
inference(constrained_superposition,[],[f4454,f10867]) ).
thf(f22112,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_108
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f22108]) ).
thf(f22128,plain,
( ~ spl0_21
| ~ spl0_108
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f22112,f10866,f4453,f258]) ).
thf(f22177,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_303 ),
inference(constrained_superposition,[],[f21804,f12542]) ).
thf(f22179,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_12
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f22177]) ).
thf(f22186,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_12
| ~ spl0_208
| ~ spl0_216 ),
inference(constrained_superposition,[],[f21933,f9346]) ).
thf(f22191,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_12
| ~ spl0_208
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f22186]) ).
thf(f22193,plain,
( $false
| ~ spl0_7
| ~ spl0_12
| ~ spl0_208
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f22191,f140]) ).
thf(f22194,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_208
| ~ spl0_216 ),
inference(avatar_contradiction_clause,[],[f22193]) ).
thf(f22232,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_108
| ~ spl0_266 ),
inference(constrained_superposition,[],[f4454,f11199]) ).
thf(f22236,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_108
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f22232]) ).
thf(f22295,plain,
( ~ spl0_220
| ~ spl0_108
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f22236,f11198,f4453,f9450]) ).
thf(f22297,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_12
| ~ spl0_223 ),
inference(constrained_superposition,[],[f21804,f9464]) ).
thf(f22300,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_12
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f22297]) ).
thf(f22310,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_12
| ~ spl0_219
| ~ spl0_223 ),
inference(constrained_superposition,[],[f22300,f9447]) ).
thf(f22317,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_12
| ~ spl0_219
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f22310]) ).
thf(f22319,plain,
( $false
| ~ spl0_7
| ~ spl0_12
| ~ spl0_219
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f22317,f140]) ).
thf(f22320,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_219
| ~ spl0_223 ),
inference(avatar_contradiction_clause,[],[f22319]) ).
thf(f22330,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_219 ),
inference(constrained_superposition,[],[f17531,f1883]) ).
thf(f22332,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_219 ),
inference(trivial_inequality_removal,[],[f22330]) ).
thf(f22420,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_12
| ~ spl0_303
| ~ spl0_332 ),
inference(constrained_superposition,[],[f22179,f14373]) ).
thf(f22425,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_12
| ~ spl0_303
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f22420]) ).
thf(f22427,plain,
( $false
| ~ spl0_7
| ~ spl0_12
| ~ spl0_303
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f22425,f140]) ).
thf(f22428,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_303
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f22427]) ).
thf(f22443,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_39
| ~ spl0_199
| ~ spl0_260 ),
inference(constrained_superposition,[],[f22004,f8947]) ).
thf(f22444,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_39
| ~ spl0_253
| ~ spl0_260 ),
inference(constrained_superposition,[],[f22004,f10645]) ).
thf(f22448,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_39
| ~ spl0_199
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f22443]) ).
thf(f22450,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39
| ~ spl0_253
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f22444]) ).
thf(f22454,plain,
( $false
| ~ spl0_39
| ~ spl0_199
| ~ spl0_220
| ~ spl0_260 ),
inference(forward_subsumption_resolution,[],[f22448,f9451]) ).
thf(f22455,plain,
( ~ spl0_39
| ~ spl0_199
| ~ spl0_220
| ~ spl0_260 ),
inference(avatar_contradiction_clause,[],[f22454]) ).
thf(f22456,plain,
( $false
| ~ spl0_39
| ~ spl0_71
| ~ spl0_253
| ~ spl0_260 ),
inference(forward_subsumption_resolution,[],[f22450,f3443]) ).
thf(f22457,plain,
( ~ spl0_39
| ~ spl0_71
| ~ spl0_253
| ~ spl0_260 ),
inference(avatar_contradiction_clause,[],[f22456]) ).
thf(f22478,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_12
| ~ spl0_73 ),
inference(constrained_superposition,[],[f21804,f3450]) ).
thf(f22480,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_12
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f22478]) ).
thf(f22524,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_12
| ~ spl0_73
| ~ spl0_301 ),
inference(constrained_superposition,[],[f22480,f12534]) ).
thf(f22531,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_12
| ~ spl0_73
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f22524]) ).
thf(f22555,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_157
| ~ spl0_301 ),
inference(constrained_superposition,[],[f6471,f12534]) ).
thf(f22563,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_157
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f22555]) ).
thf(f22565,plain,
( $false
| ~ spl0_157
| ~ spl0_301
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f22563,f16355]) ).
thf(f22566,plain,
( ~ spl0_157
| ~ spl0_301
| ~ spl0_350 ),
inference(avatar_contradiction_clause,[],[f22565]) ).
thf(f22567,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_157
| ~ spl0_301 ),
inference(constrained_superposition,[],[f22563,f1883]) ).
thf(f22569,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_157
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f22567]) ).
thf(f22571,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_2
| ~ spl0_157
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f22569,f17595]) ).
thf(f22573,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_2
| spl0_7
| ~ spl0_157
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f22571,f5134]) ).
thf(f22574,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_2
| spl0_7
| ~ spl0_157
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f22573,f33]) ).
thf(f22575,plain,
( $false
| spl0_2
| spl0_7
| ~ spl0_12
| ~ spl0_73
| ~ spl0_157
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f22574,f22531]) ).
thf(f22576,plain,
( spl0_2
| spl0_7
| ~ spl0_12
| ~ spl0_73
| ~ spl0_157
| ~ spl0_301 ),
inference(avatar_contradiction_clause,[],[f22575]) ).
thf(f22579,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_295 ),
inference(constrained_superposition,[],[f738,f12509]) ).
thf(f22583,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_37
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f22579]) ).
thf(f22595,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_73
| ~ spl0_268 ),
inference(constrained_superposition,[],[f22480,f11232]) ).
thf(f22599,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_12
| ~ spl0_73
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f22595]) ).
thf(f22600,plain,
( $false
| ~ spl0_12
| ~ spl0_73
| ~ spl0_268
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f22599,f11922]) ).
thf(f22601,plain,
( ~ spl0_12
| ~ spl0_73
| ~ spl0_268
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[],[f22600]) ).
thf(f22602,plain,
( ~ spl0_207
| ~ spl0_70
| spl0_279
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f21127,f11146,f11921,f3438,f8974]) ).
thf(f22604,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_219 ),
inference(forward_subsumption_resolution,[],[f22332,f33]) ).
thf(f22607,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_219
| spl0_223 ),
inference(forward_subsumption_resolution,[],[f22604,f18849]) ).
thf(f22608,plain,
( spl0_279
| spl0_7
| spl0_219
| spl0_223 ),
inference(avatar_split_clause,[],[f22607,f9463,f9446,f139,f11921]) ).
thf(f22639,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f28,f10645]) ).
thf(f22641,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f22639]) ).
thf(f22680,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_199 ),
inference(constrained_superposition,[],[f28,f8947]) ).
thf(f22682,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f22680]) ).
thf(f22683,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_205
| ~ spl0_208 ),
inference(constrained_superposition,[],[f21933,f8968]) ).
thf(f22686,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_12
| ~ spl0_205
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f22683]) ).
thf(f22697,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_157
| ~ spl0_301 ),
inference(constrained_superposition,[],[f6471,f12534]) ).
thf(f22700,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_157
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f22697]) ).
thf(f22745,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f79,f8964]) ).
thf(f22748,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f49,f8964]) ).
thf(f22754,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f56,f8964]) ).
thf(f22761,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f22745]) ).
thf(f22770,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f22754]) ).
thf(f22773,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f22748]) ).
thf(f22780,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_157
| ~ spl0_204
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f22761,f22700]) ).
thf(f22785,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_204
| spl0_223 ),
inference(forward_subsumption_resolution,[],[f22770,f18849]) ).
thf(f22787,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_37
| ~ spl0_204
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f22773,f22583]) ).
thf(f22791,plain,
( spl0_339
| ~ spl0_157
| ~ spl0_204
| ~ spl0_301 ),
inference(avatar_split_clause,[],[f22780,f12533,f8963,f6470,f15902]) ).
thf(f22796,plain,
( spl0_308
| ~ spl0_307
| ~ spl0_204
| spl0_223 ),
inference(avatar_split_clause,[],[f22785,f9463,f8963,f12557,f12561]) ).
thf(f22798,plain,
( ~ spl0_224
| ~ spl0_272
| ~ spl0_37
| ~ spl0_204
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f22787,f12508,f8963,f737,f11323,f9467]) ).
thf(f22848,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_256
| ~ spl0_266 ),
inference(constrained_superposition,[],[f21776,f11199]) ).
thf(f22853,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_256
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f22848]) ).
thf(f22857,definition,
( spl0_382
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_382])],[avatar_definition]) ).
thf(f22858,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_382 ),
inference(avatar_component_clause,[],[f22857]) ).
thf(f22863,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_199
| ~ spl0_256
| ~ spl0_266 ),
inference(constrained_superposition,[],[f22853,f8947]) ).
thf(f22864,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_203
| ~ spl0_256
| ~ spl0_266 ),
inference(constrained_superposition,[],[f22853,f8961]) ).
thf(f22868,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_199
| ~ spl0_256
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f22863]) ).
thf(f22869,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_203
| ~ spl0_256
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f22864]) ).
thf(f22872,plain,
( $false
| ~ spl0_199
| ~ spl0_253
| ~ spl0_256
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f22868,f10645]) ).
thf(f22873,plain,
( ~ spl0_199
| ~ spl0_253
| ~ spl0_256
| ~ spl0_266 ),
inference(avatar_contradiction_clause,[],[f22872]) ).
thf(f22874,plain,
( $false
| ~ spl0_203
| ~ spl0_256
| ~ spl0_266
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f22869,f12534]) ).
thf(f22875,plain,
( ~ spl0_203
| ~ spl0_256
| ~ spl0_266
| ~ spl0_301 ),
inference(avatar_contradiction_clause,[],[f22874]) ).
thf(f22903,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_253
| ~ spl0_260 ),
inference(constrained_superposition,[],[f22641,f10955]) ).
thf(f22905,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f22641,f10645]) ).
thf(f22906,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_253
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f22903]) ).
thf(f22907,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f22905]) ).
thf(f22916,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_208
| ~ spl0_253
| ~ spl0_260 ),
inference(constrained_superposition,[],[f22906,f8978]) ).
thf(f22919,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_208
| ~ spl0_253
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f22916]) ).
thf(f22922,plain,
( $false
| ~ spl0_12
| ~ spl0_208
| ~ spl0_253
| ~ spl0_260 ),
inference(forward_subsumption_resolution,[],[f22919,f207]) ).
thf(f22923,plain,
( ~ spl0_12
| ~ spl0_208
| ~ spl0_253
| ~ spl0_260 ),
inference(avatar_contradiction_clause,[],[f22922]) ).
thf(f22936,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_37
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f8467,f738]) ).
thf(f22937,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_195
| ~ spl0_295 ),
inference(constrained_superposition,[],[f22936,f12509]) ).
thf(f22942,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_37
| ~ spl0_195
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f22937]) ).
thf(f22943,plain,
( spl0_233
| ~ spl0_37
| ~ spl0_195
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f22942,f12508,f8466,f737,f9627]) ).
thf(f22979,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_205
| ~ spl0_253 ),
inference(constrained_superposition,[],[f22907,f8968]) ).
thf(f22981,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_208
| ~ spl0_253 ),
inference(constrained_superposition,[],[f22907,f8978]) ).
thf(f22983,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_208
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f22981]) ).
thf(f22984,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_205
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f22979]) ).
thf(f22990,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_205
| ~ spl0_253 ),
inference(constrained_superposition,[],[f22984,f1883]) ).
thf(f22993,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_205
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f22990]) ).
thf(f22995,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_205
| ~ spl0_208
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f22993,f22983]) ).
thf(f22996,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_12
| ~ spl0_205
| ~ spl0_208
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f22995,f22686]) ).
thf(f22997,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_12
| spl0_78
| ~ spl0_205
| ~ spl0_208
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f22996,f8264]) ).
thf(f22998,plain,
( spl0_209
| ~ spl0_12
| spl0_78
| ~ spl0_205
| ~ spl0_208
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f22997,f10644,f8977,f8967,f3469,f206,f9015]) ).
thf(f23030,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_37
| ~ spl0_195
| ~ spl0_260 ),
inference(constrained_superposition,[],[f22936,f10955]) ).
thf(f23034,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_37
| ~ spl0_195
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f23030]) ).
thf(f23038,plain,
( $false
| ~ spl0_37
| spl0_83
| ~ spl0_195
| ~ spl0_260 ),
inference(forward_subsumption_resolution,[],[f23034,f8904]) ).
thf(f23039,plain,
( ~ spl0_37
| spl0_83
| ~ spl0_195
| ~ spl0_260 ),
inference(avatar_contradiction_clause,[],[f23038]) ).
thf(f23040,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_103
| ~ spl0_382 ),
inference(constrained_superposition,[],[f22858,f4219]) ).
thf(f23045,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_103
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f23040]) ).
thf(f23051,plain,
( ~ spl0_7
| ~ spl0_103
| ~ spl0_382 ),
inference(avatar_split_clause,[],[f23045,f22857,f4218,f139]) ).
thf(f23065,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_317 ),
inference(constrained_superposition,[],[f12856,f1883]) ).
thf(f23068,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_317 ),
inference(trivial_inequality_removal,[],[f23065]) ).
thf(f23122,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_236 ),
inference(constrained_superposition,[],[f9730,f1883]) ).
thf(f23126,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f23122]) ).
thf(f23133,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f23126,f21805]) ).
thf(f23142,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_199
| ~ spl0_238 ),
inference(constrained_superposition,[],[f22682,f9845]) ).
thf(f23144,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_199
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f23142]) ).
thf(f23150,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_199
| ~ spl0_238
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f23144,f12879]) ).
thf(f23152,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_199
| ~ spl0_238
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f23150,f33]) ).
thf(f23154,definition,
( spl0_383
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_383])],[avatar_definition]) ).
thf(f23155,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_383 ),
inference(avatar_component_clause,[],[f23154]) ).
thf(f23156,plain,
( spl0_383
| spl0_230
| ~ spl0_199
| ~ spl0_238
| spl0_244 ),
inference(avatar_split_clause,[],[f23152,f9880,f9844,f8946,f9534,f23154]) ).
thf(f23157,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_205
| ~ spl0_383 ),
inference(constrained_superposition,[],[f23155,f8968]) ).
thf(f23162,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_205
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f23157]) ).
thf(f23166,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_205
| ~ spl0_238
| ~ spl0_383 ),
inference(constrained_superposition,[],[f23162,f9845]) ).
thf(f23170,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_205
| ~ spl0_238
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f23166]) ).
thf(f23173,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_205
| ~ spl0_238
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f23170,f33]) ).
thf(f23175,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_205
| ~ spl0_208
| ~ spl0_238
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f23173,f22686]) ).
thf(f23177,plain,
( spl0_235
| ~ spl0_12
| ~ spl0_205
| ~ spl0_208
| ~ spl0_238
| ~ spl0_383 ),
inference(avatar_split_clause,[],[f23175,f23154,f9844,f8977,f8967,f206,f9643]) ).
thf(f23183,definition,
( spl0_384
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_384])],[avatar_definition]) ).
thf(f23184,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_384 ),
inference(avatar_component_clause,[],[f23183]) ).
thf(f23185,plain,
( spl0_279
| spl0_384
| ~ spl0_12
| ~ spl0_39
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f23133,f9729,f746,f206,f23183,f11921]) ).
thf(f23188,plain,
( ~ spl0_217
| ~ spl0_151
| spl0_256
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f21654,f8938,f10866,f6129,f9349]) ).
thf(f23208,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_103 ),
inference(constrained_superposition,[],[f5857,f1883]) ).
thf(f23210,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_103 ),
inference(trivial_inequality_removal,[],[f23208]) ).
thf(f23214,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_71
| ~ spl0_382 ),
inference(constrained_superposition,[],[f22858,f3443]) ).
thf(f23218,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_71
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f23214]) ).
thf(f23219,plain,
( $false
| ~ spl0_26
| ~ spl0_71
| ~ spl0_382 ),
inference(forward_subsumption_resolution,[],[f23218,f372]) ).
thf(f23220,plain,
( ~ spl0_26
| ~ spl0_71
| ~ spl0_382 ),
inference(avatar_contradiction_clause,[],[f23219]) ).
thf(f23269,plain,
( spl0_26
| spl0_235
| spl0_288
| spl0_303
| spl0_317 ),
inference(avatar_split_clause,[],[f23068,f12855,f12541,f12375,f9643,f371]) ).
thf(f23313,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_236
| ~ spl0_265 ),
inference(constrained_superposition,[],[f9730,f11158]) ).
thf(f23317,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_236
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f23313]) ).
thf(f23330,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f28,f8942]) ).
thf(f23331,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f23330]) ).
thf(f23391,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_236
| ~ spl0_268 ),
inference(constrained_superposition,[],[f9730,f11232]) ).
thf(f23393,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_236
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f23391]) ).
thf(f23395,plain,
( $false
| ~ spl0_71
| ~ spl0_236
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f23393,f3443]) ).
thf(f23396,plain,
( ~ spl0_71
| ~ spl0_236
| ~ spl0_268 ),
inference(avatar_contradiction_clause,[],[f23395]) ).
thf(f23397,plain,
( ~ spl0_21
| ~ spl0_236
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f23317,f11157,f9729,f258]) ).
thf(f23399,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_78
| spl0_103 ),
inference(forward_subsumption_resolution,[],[f23210,f8264]) ).
thf(f23400,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_78
| spl0_103 ),
inference(forward_subsumption_resolution,[],[f23399,f33]) ).
thf(f23401,plain,
( spl0_73
| spl0_7
| spl0_78
| spl0_103 ),
inference(avatar_split_clause,[],[f23400,f4218,f3469,f139,f3449]) ).
thf(f23441,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f28,f4479]) ).
thf(f23442,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f23441]) ).
thf(f23519,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_198
| ~ spl0_383 ),
inference(constrained_superposition,[],[f23155,f8942]) ).
thf(f23524,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_198
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f23519]) ).
thf(f23529,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_198
| ~ spl0_383 ),
inference(constrained_superposition,[],[f23524,f1883]) ).
thf(f23531,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_198
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f23529]) ).
thf(f23533,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_78
| ~ spl0_198
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f23531,f8264]) ).
thf(f23535,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_2
| spl0_78
| ~ spl0_198
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f23533,f17595]) ).
thf(f23536,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_2
| spl0_7
| spl0_78
| ~ spl0_198
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f23535,f5134]) ).
thf(f23537,plain,
( $false
| spl0_2
| spl0_7
| spl0_78
| ~ spl0_198
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f23536,f33]) ).
thf(f23538,plain,
( spl0_2
| spl0_7
| spl0_78
| ~ spl0_198
| ~ spl0_383 ),
inference(avatar_contradiction_clause,[],[f23537]) ).
thf(f23572,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_205 ),
inference(constrained_superposition,[],[f28,f8968]) ).
thf(f23574,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f23572]) ).
thf(f23577,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f5142,f31]) ).
thf(f23578,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f23577]) ).
thf(f23611,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_236 ),
inference(constrained_superposition,[],[f9730,f1883]) ).
thf(f23618,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f23611]) ).
thf(f23624,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f23618,f21805]) ).
thf(f23639,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f23442,f4479]) ).
thf(f23640,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f23639]) ).
thf(f23646,plain,
( spl0_155
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f23640,f4478,f6440]) ).
thf(f23682,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_43
| ~ spl0_216 ),
inference(constrained_superposition,[],[f838,f9346]) ).
thf(f23687,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_43
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f23682]) ).
thf(f23690,plain,
( spl0_383
| ~ spl0_43
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f23687,f9345,f837,f23154]) ).
thf(f23731,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_157
| ~ spl0_268 ),
inference(constrained_superposition,[],[f6471,f11232]) ).
thf(f23739,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_157
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f23731]) ).
thf(f23741,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_157
| ~ spl0_268 ),
inference(constrained_superposition,[],[f23739,f1883]) ).
thf(f23743,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_157
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f23741]) ).
thf(f23745,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_157
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f23743,f33]) ).
thf(f23751,plain,
( spl0_279
| spl0_384
| ~ spl0_12
| ~ spl0_39
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f23624,f9729,f746,f206,f23183,f11921]) ).
thf(f23756,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_2
| ~ spl0_157
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f23745,f17595]) ).
thf(f23760,plain,
( spl0_7
| spl0_279
| spl0_2
| ~ spl0_157
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f23756,f11231,f6470,f86,f11921,f139]) ).
thf(f23798,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_236
| ~ spl0_279 ),
inference(constrained_superposition,[],[f9730,f11922]) ).
thf(f23801,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_236
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f23798]) ).
thf(f23802,plain,
( $false
| ~ spl0_26
| ~ spl0_236
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f23801,f372]) ).
thf(f23803,plain,
( ~ spl0_26
| ~ spl0_236
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[],[f23802]) ).
thf(f23961,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_198
| ~ spl0_256 ),
inference(constrained_superposition,[],[f23331,f10867]) ).
thf(f23962,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f23331,f8942]) ).
thf(f23964,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_198
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f23961]) ).
thf(f23968,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f23962]) ).
thf(f23974,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198
| ~ spl0_205 ),
inference(constrained_superposition,[],[f23968,f8968]) ).
thf(f23978,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f23974]) ).
thf(f23981,plain,
( $false
| ~ spl0_198
| ~ spl0_205
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f23978,f11232]) ).
thf(f23982,plain,
( ~ spl0_198
| ~ spl0_205
| ~ spl0_268 ),
inference(avatar_contradiction_clause,[],[f23981]) ).
thf(f23998,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198
| ~ spl0_205 ),
inference(constrained_superposition,[],[f23978,f1883]) ).
thf(f24001,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f23998]) ).
thf(f24046,definition,
( spl0_386
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_386])],[avatar_definition]) ).
thf(f24047,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_386 ),
inference(avatar_component_clause,[],[f24046]) ).
thf(f24078,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_131
| spl0_216 ),
inference(constrained_superposition,[],[f12759,f23578]) ).
thf(f24088,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_131
| ~ spl0_198 ),
inference(constrained_superposition,[],[f23968,f23578]) ).
thf(f24090,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_131
| spl0_216 ),
inference(trivial_inequality_removal,[],[f24078]) ).
thf(f24095,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_131
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f24088]) ).
thf(f24101,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_131
| spl0_216 ),
inference(forward_subsumption_resolution,[],[f24090,f33]) ).
thf(f24102,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_103
| ~ spl0_131
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f24095,f4219]) ).
thf(f24103,plain,
( spl0_230
| spl0_208
| ~ spl0_131
| spl0_216 ),
inference(avatar_split_clause,[],[f24101,f9345,f5141,f8977,f9534]) ).
thf(f24104,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_103
| ~ spl0_131
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f24102,f33]) ).
thf(f24105,plain,
( spl0_208
| spl0_230
| ~ spl0_103
| ~ spl0_131
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f24104,f8941,f5141,f4218,f9534,f8977]) ).
thf(f24173,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_205
| ~ spl0_279 ),
inference(constrained_superposition,[],[f23574,f11922]) ).
thf(f24180,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_205
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f24173]) ).
thf(f24187,definition,
( spl0_387
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_387])],[avatar_definition]) ).
thf(f24188,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_387 ),
inference(avatar_component_clause,[],[f24187]) ).
thf(f24192,plain,
( spl0_387
| ~ spl0_205
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f24180,f11921,f8967,f24187]) ).
thf(f24194,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_203
| ~ spl0_387 ),
inference(constrained_superposition,[],[f24188,f8961]) ).
thf(f24195,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_219
| ~ spl0_387 ),
inference(constrained_superposition,[],[f24188,f9447]) ).
thf(f24199,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_219
| ~ spl0_387 ),
inference(trivial_inequality_removal,[],[f24195]) ).
thf(f24201,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_203
| ~ spl0_387 ),
inference(trivial_inequality_removal,[],[f24194]) ).
thf(f24202,plain,
( $false
| ~ spl0_7
| ~ spl0_219
| ~ spl0_387 ),
inference(forward_subsumption_resolution,[],[f24199,f140]) ).
thf(f24203,plain,
( ~ spl0_7
| ~ spl0_219
| ~ spl0_387 ),
inference(avatar_contradiction_clause,[],[f24202]) ).
thf(f24204,plain,
( $false
| ~ spl0_203
| ~ spl0_288
| ~ spl0_387 ),
inference(forward_subsumption_resolution,[],[f24201,f12376]) ).
thf(f24205,plain,
( ~ spl0_203
| ~ spl0_288
| ~ spl0_387 ),
inference(avatar_contradiction_clause,[],[f24204]) ).
thf(f24209,plain,
( spl0_157
| ~ spl0_198
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f23964,f10866,f8941,f6470]) ).
thf(f24216,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_71 ),
inference(constrained_superposition,[],[f21805,f3443]) ).
thf(f24219,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f24216]) ).
thf(f24236,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_260 ),
inference(constrained_superposition,[],[f12021,f1883]) ).
thf(f24238,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_260 ),
inference(trivial_inequality_removal,[],[f24236]) ).
thf(f24247,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_220
| ~ spl0_387 ),
inference(constrained_superposition,[],[f24188,f9451]) ).
thf(f24252,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_220
| ~ spl0_387 ),
inference(trivial_inequality_removal,[],[f24247]) ).
thf(f24254,plain,
( $false
| ~ spl0_26
| ~ spl0_220
| ~ spl0_387 ),
inference(forward_subsumption_resolution,[],[f24252,f372]) ).
thf(f24255,plain,
( ~ spl0_26
| ~ spl0_220
| ~ spl0_387 ),
inference(avatar_contradiction_clause,[],[f24254]) ).
thf(f24260,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_78
| ~ spl0_198
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f24001,f8264]) ).
thf(f24262,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_71
| spl0_78
| ~ spl0_198
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f24260,f24219]) ).
thf(f24263,plain,
( spl0_209
| spl0_279
| ~ spl0_12
| ~ spl0_39
| ~ spl0_71
| spl0_78
| ~ spl0_198
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f24262,f8967,f8941,f3469,f3442,f746,f206,f11921,f9015]) ).
thf(f24264,plain,
( spl0_73
| spl0_279
| spl0_209
| spl0_78
| ~ spl0_198
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f24260,f8967,f8941,f3469,f9015,f11921,f3449]) ).
thf(f24269,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f28,f87]) ).
thf(f24270,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f24269]) ).
thf(f24282,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_20 ),
inference(constrained_superposition,[],[f234,f31]) ).
thf(f24285,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_20 ),
inference(trivial_inequality_removal,[],[f24282]) ).
thf(f24287,plain,
( spl0_21
| spl0_22
| spl0_20 ),
inference(avatar_split_clause,[],[f24285,f233,f261,f258]) ).
thf(f24288,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_21
| ~ spl0_39 ),
inference(constrained_superposition,[],[f21805,f259]) ).
thf(f24293,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_21
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f24288]) ).
thf(f24294,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| ~ spl0_21
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f24293,f87]) ).
thf(f24295,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_21
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f24294]) ).
thf(f24355,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_198
| ~ spl0_212 ),
inference(constrained_superposition,[],[f23968,f9330]) ).
thf(f24359,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f24355]) ).
thf(f24360,plain,
( $false
| ~ spl0_71
| ~ spl0_198
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f24359,f3443]) ).
thf(f24361,plain,
( ~ spl0_71
| ~ spl0_198
| ~ spl0_212 ),
inference(avatar_contradiction_clause,[],[f24360]) ).
thf(f24365,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
inference(forward_subsumption_resolution,[],[f2720,f33]) ).
thf(f24367,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_244
| spl0_260 ),
inference(forward_subsumption_resolution,[],[f24238,f12879]) ).
thf(f24368,plain,
( spl0_15
| spl0_26
| spl0_12 ),
inference(avatar_split_clause,[],[f24365,f206,f371,f217]) ).
thf(f24369,plain,
( spl0_104
| spl0_12
| spl0_26
| spl0_244
| spl0_260 ),
inference(avatar_split_clause,[],[f24367,f10954,f9880,f371,f206,f4221]) ).
thf(f24386,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_79 ),
inference(constrained_superposition,[],[f3476,f31]) ).
thf(f24387,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_79 ),
inference(trivial_inequality_removal,[],[f24386]) ).
thf(f24390,plain,
( spl0_103
| spl0_104
| spl0_79 ),
inference(avatar_split_clause,[],[f24387,f3475,f4221,f4218]) ).
thf(f24415,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_198
| ~ spl0_216 ),
inference(constrained_superposition,[],[f23968,f9346]) ).
thf(f24419,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_198
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f24415]) ).
thf(f24420,plain,
( $false
| ~ spl0_103
| ~ spl0_198
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f24419,f4219]) ).
thf(f24421,plain,
( ~ spl0_103
| ~ spl0_198
| ~ spl0_216 ),
inference(avatar_contradiction_clause,[],[f24420]) ).
thf(f24456,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_297 ),
inference(constrained_superposition,[],[f12519,f31]) ).
thf(f24459,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_297 ),
inference(trivial_inequality_removal,[],[f24456]) ).
thf(f24461,plain,
( spl0_329
| spl0_332
| spl0_297 ),
inference(avatar_split_clause,[],[f24459,f12518,f14372,f14129]) ).
thf(f24524,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_2
| ~ spl0_208 ),
inference(constrained_superposition,[],[f24270,f8978]) ).
thf(f24527,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f24524]) ).
thf(f24528,plain,
( spl0_386
| ~ spl0_2
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f24527,f8977,f86,f24046]) ).
thf(f24547,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_103
| ~ spl0_241 ),
inference(constrained_superposition,[],[f5857,f9863]) ).
thf(f24555,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_103
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f24547]) ).
thf(f24560,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_103
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f24555,f33]) ).
thf(f24562,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_78
| spl0_103
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f24560,f8264]) ).
thf(f24564,plain,
( spl0_73
| spl0_104
| spl0_78
| spl0_103
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f24562,f9862,f4218,f3469,f4221,f3449]) ).
thf(f24565,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_223 ),
inference(constrained_superposition,[],[f24270,f9464]) ).
thf(f24569,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f24565]) ).
thf(f24573,plain,
( spl0_387
| ~ spl0_2
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f24569,f9463,f86,f24187]) ).
thf(f24623,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f321,f8939]) ).
thf(f24624,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f199,f8939]) ).
thf(f24632,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f132,f8939]) ).
thf(f24634,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f712,f8939]) ).
thf(f24642,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f24634]) ).
thf(f24645,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f24624]) ).
thf(f24647,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f24632]) ).
thf(f24650,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f24623]) ).
thf(f24659,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_197
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f24642,f12879]) ).
thf(f24662,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_197
| spl0_216 ),
inference(forward_subsumption_resolution,[],[f24647,f12759]) ).
thf(f24665,plain,
( spl0_381
| ~ spl0_68
| ~ spl0_197
| spl0_244 ),
inference(avatar_split_clause,[],[f24659,f9880,f8938,f3432,f21662]) ).
thf(f24666,plain,
( spl0_125
| ~ spl0_79
| ~ spl0_197
| spl0_216 ),
inference(avatar_split_clause,[],[f24662,f9345,f8938,f3475,f4926]) ).
thf(f24674,plain,
( spl0_259
| spl0_109
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f24645,f8938,f4478,f10878]) ).
thf(f24675,plain,
( ~ spl0_258
| ~ spl0_148
| spl0_109
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f24650,f8938,f4478,f6118,f10873]) ).
thf(f24715,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_262 ),
inference(constrained_superposition,[],[f11139,f31]) ).
thf(f24719,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_262 ),
inference(trivial_inequality_removal,[],[f24715]) ).
thf(f24723,plain,
( spl0_268
| spl0_267
| spl0_262 ),
inference(avatar_split_clause,[],[f24719,f11138,f11204,f11231]) ).
thf(f24757,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_197
| ~ spl0_249 ),
inference(constrained_superposition,[],[f10309,f8939]) ).
thf(f24768,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_197
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f24757]) ).
thf(f24771,plain,
( $false
| ~ spl0_197
| spl0_244
| ~ spl0_249 ),
inference(forward_subsumption_resolution,[],[f24768,f12879]) ).
thf(f24772,plain,
( ~ spl0_197
| spl0_244
| ~ spl0_249 ),
inference(avatar_contradiction_clause,[],[f24771]) ).
thf(f24884,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_239
| ~ spl0_265 ),
inference(constrained_superposition,[],[f9848,f11158]) ).
thf(f24887,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_239
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f24884]) ).
thf(f25119,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f5496,f8971]) ).
thf(f25120,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f3415,f8971]) ).
thf(f25121,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f321,f8971]) ).
thf(f25122,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f199,f8971]) ).
thf(f25123,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f117,f8971]) ).
thf(f25124,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f79,f8971]) ).
thf(f25130,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f132,f8971]) ).
thf(f25131,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f2707,f8971]) ).
thf(f25133,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f56,f8971]) ).
thf(f25138,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f29,f8971]) ).
thf(f25140,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f25133]) ).
thf(f25141,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f25123]) ).
thf(f25143,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f25124]) ).
thf(f25144,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f25119]) ).
thf(f25145,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f25122]) ).
thf(f25146,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f25121]) ).
thf(f25147,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f25130]) ).
thf(f25153,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f25131]) ).
thf(f25155,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f25138]) ).
thf(f25156,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f25120]) ).
thf(f25161,plain,
( spl0_264
| spl0_268
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f25156,f8970,f11231,f11146]) ).
thf(f25207,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f199,f8964]) ).
thf(f25229,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f25207]) ).
thf(f25246,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_204
| spl0_295 ),
inference(forward_subsumption_resolution,[],[f25229,f12872]) ).
thf(f25253,plain,
( spl0_296
| ~ spl0_204
| spl0_295 ),
inference(avatar_split_clause,[],[f25246,f12508,f8963,f12511]) ).
thf(f25286,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_250 ),
inference(constrained_superposition,[],[f10313,f64]) ).
thf(f25295,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f25286]) ).
thf(f25304,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_275 ),
inference(constrained_superposition,[],[f11354,f2252]) ).
thf(f25305,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_275 ),
inference(constrained_superposition,[],[f11354,f172]) ).
thf(f25307,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_275 ),
inference(constrained_superposition,[],[f11354,f64]) ).
thf(f25313,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f25307]) ).
thf(f25316,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f25305]) ).
thf(f25317,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f25304]) ).
thf(f25321,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_37
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f8467,f738]) ).
thf(f25322,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_195
| ~ spl0_276 ),
inference(constrained_superposition,[],[f25321,f11511]) ).
thf(f25325,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_37
| ~ spl0_195
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f25322]) ).
thf(f25328,plain,
( spl0_209
| ~ spl0_37
| ~ spl0_195
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f25325,f11510,f8466,f737,f9015]) ).
thf(f25336,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_249 ),
inference(constrained_superposition,[],[f10309,f64]) ).
thf(f25341,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f25336]) ).
thf(f25422,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_269 ),
inference(constrained_superposition,[],[f11265,f2252]) ).
thf(f25425,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_269 ),
inference(constrained_superposition,[],[f11265,f64]) ).
thf(f25427,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_269 ),
inference(constrained_superposition,[],[f11265,f36]) ).
thf(f25433,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f25422]) ).
thf(f25435,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f25427]) ).
thf(f25437,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f25425]) ).
thf(f25443,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f11147,f64]) ).
thf(f25453,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f25443]) ).
thf(f25540,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_201 ),
inference(constrained_superposition,[],[f28,f8954]) ).
thf(f25542,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f25540]) ).
thf(f25545,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f28,f8961]) ).
thf(f25547,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f25545]) ).
thf(f25590,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_203
| ~ spl0_288 ),
inference(constrained_superposition,[],[f25547,f12376]) ).
thf(f25596,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_203
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f25590]) ).
thf(f25601,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_296 ),
inference(constrained_superposition,[],[f12512,f2252]) ).
thf(f25616,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_296 ),
inference(trivial_inequality_removal,[],[f25601]) ).
thf(f25617,plain,
( ~ spl0_65
| ~ spl0_262
| spl0_301
| ~ spl0_296 ),
inference(avatar_split_clause,[],[f25616,f12511,f12533,f11138,f3422]) ).
thf(f25658,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_29
| ~ spl0_206 ),
inference(constrained_superposition,[],[f384,f8971]) ).
thf(f25673,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f25658]) ).
thf(f25692,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f25155,f172]) ).
thf(f25694,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f25155,f64]) ).
thf(f25696,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f25155,f36]) ).
thf(f25699,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f25696]) ).
thf(f25700,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f25694]) ).
thf(f25704,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f25692]) ).
thf(f25709,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_381 ),
inference(constrained_superposition,[],[f21663,f31]) ).
thf(f25710,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f25709]) ).
thf(f25714,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_107
| ~ spl0_201 ),
inference(constrained_superposition,[],[f25542,f4399]) ).
thf(f25715,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_107
| ~ spl0_236 ),
inference(constrained_superposition,[],[f9730,f4399]) ).
thf(f25718,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_43
| ~ spl0_107 ),
inference(constrained_superposition,[],[f838,f4399]) ).
thf(f25719,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_107
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f25715]) ).
thf(f25721,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_107
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f25714]) ).
thf(f25724,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_43
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f25718]) ).
thf(f25726,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_71
| ~ spl0_107
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f25719,f3443]) ).
thf(f25729,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_71
| ~ spl0_107
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f25726,f33]) ).
thf(f25731,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_71
| ~ spl0_107
| ~ spl0_236
| ~ spl0_239
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f25729,f24887]) ).
thf(f25733,definition,
( spl0_390
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_390])],[avatar_definition]) ).
thf(f25734,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_390 ),
inference(avatar_component_clause,[],[f25733]) ).
thf(f25736,plain,
( spl0_267
| ~ spl0_71
| ~ spl0_107
| ~ spl0_236
| ~ spl0_239
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f25731,f11157,f9847,f9729,f4398,f3442,f11204]) ).
thf(f25737,plain,
( spl0_276
| ~ spl0_258
| ~ spl0_148
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f25146,f8970,f6118,f10873,f11510]) ).
thf(f25739,definition,
( spl0_391
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_391])],[avatar_definition]) ).
thf(f25740,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_391 ),
inference(avatar_component_clause,[],[f25739]) ).
thf(f25741,plain,
( spl0_391
| spl0_276
| ~ spl0_148
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f25704,f8970,f6118,f11510,f25739]) ).
thf(f25742,plain,
( ~ spl0_197
| ~ spl0_281
| spl0_268
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f25144,f8970,f11231,f12102,f8938]) ).
thf(f25743,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_206
| spl0_216 ),
inference(forward_subsumption_resolution,[],[f25147,f12759]) ).
thf(f25745,plain,
( spl0_220
| ~ spl0_148
| ~ spl0_217
| ~ spl0_29
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f25673,f8970,f383,f9349,f6118,f9450]) ).
thf(f25746,plain,
( spl0_268
| ~ spl0_65
| ~ spl0_281
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f25433,f11264,f12102,f3422,f11231]) ).
thf(f25747,plain,
( ~ spl0_68
| ~ spl0_281
| spl0_268
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f25317,f11353,f11231,f12102,f3432]) ).
thf(f25752,plain,
( ~ spl0_225
| spl0_284
| ~ spl0_206
| spl0_216 ),
inference(avatar_split_clause,[],[f25743,f9345,f8970,f12122,f9470]) ).
thf(f25778,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_212
| ~ spl0_386 ),
inference(constrained_superposition,[],[f24047,f9330]) ).
thf(f25781,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_212
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f25778]) ).
thf(f25782,plain,
( $false
| ~ spl0_26
| ~ spl0_212
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f25781,f372]) ).
thf(f25783,plain,
( ~ spl0_26
| ~ spl0_212
| ~ spl0_386 ),
inference(avatar_contradiction_clause,[],[f25782]) ).
thf(f25784,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_43
| ~ spl0_219 ),
inference(constrained_superposition,[],[f838,f9447]) ).
thf(f25786,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_43
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f25784]) ).
thf(f25805,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_212 ),
inference(constrained_superposition,[],[f12862,f1883]) ).
thf(f25808,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_212 ),
inference(trivial_inequality_removal,[],[f25805]) ).
thf(f25810,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_260
| ~ spl0_336 ),
inference(constrained_superposition,[],[f15810,f10955]) ).
thf(f25811,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_39
| ~ spl0_260 ),
inference(constrained_superposition,[],[f747,f10955]) ).
thf(f25813,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_39
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f25811]) ).
thf(f25815,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_260
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f25810]) ).
thf(f25816,plain,
( spl0_328
| ~ spl0_260
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f25815,f15809,f10954,f13652]) ).
thf(f25859,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f5496,f8950]) ).
thf(f25862,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f321,f8950]) ).
thf(f25886,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f25859]) ).
thf(f25896,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f25862]) ).
thf(f25927,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_39
| ~ spl0_244
| ~ spl0_260 ),
inference(constrained_superposition,[],[f25813,f9881]) ).
thf(f25936,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_39
| ~ spl0_244
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f25927]) ).
thf(f25940,plain,
( $false
| ~ spl0_26
| ~ spl0_39
| ~ spl0_244
| ~ spl0_260 ),
inference(forward_subsumption_resolution,[],[f25936,f372]) ).
thf(f25941,plain,
( ~ spl0_26
| ~ spl0_39
| ~ spl0_244
| ~ spl0_260 ),
inference(avatar_contradiction_clause,[],[f25940]) ).
thf(f25943,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_107
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f25721,f33]) ).
thf(f25944,plain,
( spl0_265
| ~ spl0_19
| ~ spl0_217
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f25437,f11264,f9349,f230,f11157]) ).
thf(f25946,definition,
( spl0_393
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_393])],[avatar_definition]) ).
thf(f25947,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_393 ),
inference(avatar_component_clause,[],[f25946]) ).
thf(f25949,plain,
( ~ spl0_226
| spl0_260
| ~ spl0_228
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f25896,f8949,f9483,f10954,f9475]) ).
thf(f25950,plain,
( spl0_393
| ~ spl0_203
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f25596,f12375,f8960,f25946]) ).
thf(f25951,plain,
( spl0_265
| ~ spl0_3
| ~ spl0_217
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f25313,f11353,f9349,f90,f11157]) ).
thf(f25952,plain,
( spl0_256
| spl0_7
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f25341,f10308,f139,f10866]) ).
thf(f25953,plain,
( ~ spl0_217
| ~ spl0_151
| spl0_265
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f25141,f8970,f11157,f6129,f9349]) ).
thf(f25955,definition,
( spl0_394
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_394])],[avatar_definition]) ).
thf(f25956,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_394 ),
inference(avatar_component_clause,[],[f25955]) ).
thf(f25957,plain,
( spl0_265
| ~ spl0_151
| spl0_394
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f25700,f8970,f25955,f6129,f11157]) ).
thf(f25958,plain,
( spl0_265
| spl0_271
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f25143,f8970,f11272,f11157]) ).
thf(f25961,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_43
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f25724,f33]) ).
thf(f25963,plain,
( spl0_265
| ~ spl0_217
| ~ spl0_79
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f25453,f11146,f3475,f9349,f11157]) ).
thf(f25964,plain,
( ~ spl0_19
| spl0_2
| spl0_256
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f25295,f10312,f10866,f86,f230]) ).
thf(f25965,plain,
( ~ spl0_263
| ~ spl0_262
| spl0_253
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f25886,f8949,f10644,f11138,f11141]) ).
thf(f25967,plain,
( spl0_267
| spl0_390
| spl0_279
| ~ spl0_107
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f25943,f8953,f4398,f11921,f25733,f11204]) ).
thf(f25969,plain,
( spl0_104
| spl0_157
| spl0_7
| ~ spl0_43
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f25961,f4398,f837,f139,f6470,f4221]) ).
thf(f25983,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_12
| ~ spl0_39 ),
inference(constrained_superposition,[],[f747,f207]) ).
thf(f25986,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_12
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f25983]) ).
thf(f25989,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_201
| ~ spl0_238 ),
inference(constrained_superposition,[],[f25542,f9845]) ).
thf(f25995,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_201
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f25989]) ).
thf(f26036,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_71 ),
inference(constrained_superposition,[],[f25986,f3443]) ).
thf(f26043,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f26036]) ).
thf(f26106,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_157
| ~ spl0_253 ),
inference(constrained_superposition,[],[f6471,f10645]) ).
thf(f26116,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_157
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f26106]) ).
thf(f26118,plain,
( $false
| ~ spl0_157
| ~ spl0_253
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f26116,f10848]) ).
thf(f26119,plain,
( ~ spl0_157
| ~ spl0_253
| ~ spl0_255 ),
inference(avatar_contradiction_clause,[],[f26118]) ).
thf(f26150,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_206
| ~ spl0_394 ),
inference(constrained_superposition,[],[f25956,f8971]) ).
thf(f26162,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_206
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f26150]) ).
thf(f26169,plain,
( ~ spl0_217
| ~ spl0_206
| ~ spl0_394 ),
inference(avatar_split_clause,[],[f26162,f25955,f8970,f9349]) ).
thf(f26221,plain,
( ~ spl0_207
| spl0_279
| ~ spl0_17
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f25435,f11264,f223,f11921,f8974]) ).
thf(f26232,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f28,f3470]) ).
thf(f26233,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f26232]) ).
thf(f26263,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_217 ),
inference(constrained_superposition,[],[f9350,f31]) ).
thf(f26264,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_217 ),
inference(trivial_inequality_removal,[],[f26263]) ).
thf(f26267,plain,
( spl0_255
| spl0_230
| spl0_217 ),
inference(avatar_split_clause,[],[f26264,f9349,f9534,f10847]) ).
thf(f26283,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_258 ),
inference(constrained_superposition,[],[f10874,f38]) ).
thf(f26286,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_258 ),
inference(trivial_inequality_removal,[],[f26283]) ).
thf(f26290,plain,
( spl0_260
| spl0_104
| spl0_258 ),
inference(avatar_split_clause,[],[f26286,f10873,f4221,f10954]) ).
thf(f26293,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_39
| ~ spl0_260 ),
inference(constrained_superposition,[],[f747,f10955]) ).
thf(f26297,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_39
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f26293]) ).
thf(f26383,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_383 ),
inference(constrained_superposition,[],[f23155,f1883]) ).
thf(f26386,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f26383]) ).
thf(f26390,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_43
| ~ spl0_199
| ~ spl0_219 ),
inference(constrained_superposition,[],[f25786,f8947]) ).
thf(f26393,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_43
| ~ spl0_199
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f26390]) ).
thf(f26394,plain,
( $false
| ~ spl0_43
| ~ spl0_199
| ~ spl0_219
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f26393,f10848]) ).
thf(f26395,plain,
( ~ spl0_43
| ~ spl0_199
| ~ spl0_219
| ~ spl0_255 ),
inference(avatar_contradiction_clause,[],[f26394]) ).
thf(f26398,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_201
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f25995,f33]) ).
thf(f26401,definition,
( spl0_396
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_396])],[avatar_definition]) ).
thf(f26402,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_396 ),
inference(avatar_component_clause,[],[f26401]) ).
thf(f26408,plain,
( spl0_235
| spl0_279
| spl0_396
| ~ spl0_201
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f26398,f9844,f8953,f26401,f11921,f9643]) ).
thf(f26416,definition,
( spl0_399
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_399])],[avatar_definition]) ).
thf(f26417,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_399 ),
inference(avatar_component_clause,[],[f26416]) ).
thf(f26420,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_201
| ~ spl0_279 ),
inference(constrained_superposition,[],[f25542,f11922]) ).
thf(f26423,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_201
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f26420]) ).
thf(f26424,plain,
( spl0_387
| ~ spl0_201
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f26423,f11921,f8953,f24187]) ).
thf(f26437,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_43
| ~ spl0_332 ),
inference(constrained_superposition,[],[f838,f14373]) ).
thf(f26440,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_43
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f26437]) ).
thf(f26441,plain,
( spl0_399
| ~ spl0_43
| ~ spl0_332 ),
inference(avatar_split_clause,[],[f26440,f14372,f837,f26416]) ).
thf(f26443,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f3415,f8950]) ).
thf(f26449,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f2702,f8950]) ).
thf(f26451,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f49,f8950]) ).
thf(f26481,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f26449]) ).
thf(f26482,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f26451]) ).
thf(f26483,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f26443]) ).
thf(f26485,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_200
| spl0_223 ),
inference(forward_subsumption_resolution,[],[f26481,f18849]) ).
thf(f26486,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_200
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f26482,f12879]) ).
thf(f26487,plain,
( spl0_264
| spl0_253
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f26483,f8949,f10644,f11146]) ).
thf(f26488,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_200
| spl0_223
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f26485,f12879]) ).
thf(f26489,plain,
( ~ spl0_224
| ~ spl0_272
| ~ spl0_200
| spl0_244 ),
inference(avatar_split_clause,[],[f26486,f9880,f8949,f11323,f9467]) ).
thf(f26490,plain,
( ~ spl0_224
| ~ spl0_200
| spl0_223
| spl0_244 ),
inference(avatar_split_clause,[],[f26488,f9880,f9463,f8949,f9467]) ).
thf(f26501,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_39
| ~ spl0_238
| ~ spl0_260 ),
inference(constrained_superposition,[],[f26297,f9845]) ).
thf(f26504,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39
| ~ spl0_238
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f26501]) ).
thf(f26529,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_391 ),
inference(constrained_superposition,[],[f25740,f2252]) ).
thf(f26544,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f26529]) ).
thf(f26546,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_354
| ~ spl0_399 ),
inference(constrained_superposition,[],[f26417,f16882]) ).
thf(f26550,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_354
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f26546]) ).
thf(f26554,plain,
( $false
| ~ spl0_255
| ~ spl0_354
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f26550,f10848]) ).
thf(f26555,plain,
( ~ spl0_255
| ~ spl0_354
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f26554]) ).
thf(f26561,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_295 ),
inference(constrained_superposition,[],[f738,f12509]) ).
thf(f26562,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_39
| ~ spl0_295 ),
inference(constrained_superposition,[],[f747,f12509]) ).
thf(f26564,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_39
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f26562]) ).
thf(f26567,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_37
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f26561]) ).
thf(f26600,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f132,f8957]) ).
thf(f26633,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f26600]) ).
thf(f26646,plain,
( spl0_332
| ~ spl0_225
| spl0_284
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f26633,f8956,f12122,f9470,f14372]) ).
thf(f26651,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_43
| ~ spl0_219 ),
inference(constrained_superposition,[],[f838,f9447]) ).
thf(f26654,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_43
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f26651]) ).
thf(f26655,plain,
( spl0_396
| ~ spl0_43
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f26654,f9446,f837,f26401]) ).
thf(f26672,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_202
| ~ spl0_308 ),
inference(constrained_superposition,[],[f12562,f8957]) ).
thf(f26683,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_202
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f26672]) ).
thf(f26685,plain,
( ~ spl0_272
| ~ spl0_202
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f26683,f12561,f8956,f11323]) ).
thf(f26695,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_266
| ~ spl0_396 ),
inference(constrained_superposition,[],[f26402,f11199]) ).
thf(f26701,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_266
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f26695]) ).
thf(f26746,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f3415,f8964]) ).
thf(f26750,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f117,f8964]) ).
thf(f26769,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f26746]) ).
thf(f26782,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f26750]) ).
thf(f26787,plain,
( spl0_302
| spl0_301
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f26769,f8963,f12533,f12537]) ).
thf(f26808,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_39
| ~ spl0_238
| ~ spl0_295 ),
inference(constrained_superposition,[],[f26564,f9845]) ).
thf(f26812,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_39
| ~ spl0_238
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f26808]) ).
thf(f26820,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f26233,f3470]) ).
thf(f26824,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_78
| ~ spl0_266 ),
inference(constrained_superposition,[],[f26233,f11199]) ).
thf(f26827,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_78
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f26824]) ).
thf(f26830,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f26820]) ).
thf(f26834,plain,
( spl0_390
| ~ spl0_78
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f26827,f11198,f3469,f25733]) ).
thf(f26836,plain,
( spl0_382
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f26830,f3469,f22857]) ).
thf(f26841,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39
| ~ spl0_238
| spl0_244
| ~ spl0_260 ),
inference(forward_subsumption_resolution,[],[f26504,f12879]) ).
thf(f26845,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_37
| ~ spl0_39
| ~ spl0_238
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f26812,f26567]) ).
thf(f26847,plain,
( spl0_350
| ~ spl0_227
| ~ spl0_225
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f26782,f8963,f9470,f9479,f16354]) ).
thf(f26848,plain,
( $false
| ~ spl0_256
| ~ spl0_266
| ~ spl0_396 ),
inference(forward_subsumption_resolution,[],[f10867,f26701]) ).
thf(f26849,plain,
( ~ spl0_256
| ~ spl0_266
| ~ spl0_396 ),
inference(avatar_contradiction_clause,[],[f26848]) ).
thf(f26851,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39
| ~ spl0_238
| spl0_244
| ~ spl0_260 ),
inference(forward_subsumption_resolution,[],[f26841,f33]) ).
thf(f26852,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_37
| ~ spl0_39
| ~ spl0_238
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f26845,f33]) ).
thf(f26854,plain,
( spl0_230
| ~ spl0_21
| ~ spl0_39
| ~ spl0_238
| spl0_244
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f26851,f10954,f9880,f9844,f746,f258,f9534]) ).
thf(f26855,plain,
( spl0_329
| ~ spl0_21
| ~ spl0_37
| ~ spl0_39
| ~ spl0_238
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f26852,f12508,f9844,f746,f737,f258,f14129]) ).
thf(f26856,plain,
( spl0_244
| spl0_208
| spl0_26
| spl0_104
| spl0_212 ),
inference(avatar_split_clause,[],[f25808,f9329,f4221,f371,f8977,f9880]) ).
thf(f26857,plain,
( ~ spl0_272
| spl0_208
| spl0_285
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f25140,f8970,f12127,f8977,f11323]) ).
thf(f26862,definition,
( spl0_404
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_404])],[avatar_definition]) ).
thf(f26863,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_404 ),
inference(avatar_component_clause,[],[f26862]) ).
thf(f26864,plain,
( spl0_404
| ~ spl0_147
| spl0_279
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f25699,f8970,f11921,f6108,f26862]) ).
thf(f26867,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_206 ),
inference(forward_subsumption_resolution,[],[f25153,f33]) ).
thf(f26868,plain,
( ~ spl0_65
| spl0_268
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f26544,f25739,f11231,f3422]) ).
thf(f26869,plain,
( ~ spl0_16
| ~ spl0_258
| spl0_276
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f25316,f11353,f11510,f10873,f220]) ).
thf(f26871,definition,
( spl0_405
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_405])],[avatar_definition]) ).
thf(f26872,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_405 ),
inference(avatar_component_clause,[],[f26871]) ).
thf(f26873,plain,
( spl0_208
| spl0_405
| spl0_244
| ~ spl0_383 ),
inference(avatar_split_clause,[],[f26386,f23154,f9880,f26871,f8977]) ).
thf(f26874,plain,
( spl0_208
| spl0_279
| spl0_244
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f26867,f8970,f9880,f11921,f8977]) ).
thf(f26875,plain,
( spl0_276
| spl0_269
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f25145,f8970,f11264,f11510]) ).
thf(f26877,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f28,f87]) ).
thf(f26878,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f26877]) ).
thf(f26908,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_239
| ~ spl0_265 ),
inference(constrained_superposition,[],[f9848,f11158]) ).
thf(f26913,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_239
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f26908]) ).
thf(f26954,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_198
| ~ spl0_386 ),
inference(constrained_superposition,[],[f24047,f8942]) ).
thf(f26956,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_198
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f26954]) ).
thf(f26960,plain,
( $false
| ~ spl0_78
| ~ spl0_198
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f26956,f3470]) ).
thf(f26961,plain,
( ~ spl0_78
| ~ spl0_198
| ~ spl0_386 ),
inference(avatar_contradiction_clause,[],[f26960]) ).
thf(f26967,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_253
| ~ spl0_382 ),
inference(constrained_superposition,[],[f22858,f10645]) ).
thf(f26968,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f28,f10645]) ).
thf(f26969,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f26968]) ).
thf(f26970,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_253
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f26967]) ).
thf(f26971,plain,
( $false
| ~ spl0_244
| ~ spl0_253
| ~ spl0_382 ),
inference(forward_subsumption_resolution,[],[f26970,f9881]) ).
thf(f26972,plain,
( ~ spl0_244
| ~ spl0_253
| ~ spl0_382 ),
inference(avatar_contradiction_clause,[],[f26971]) ).
thf(f26987,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| spl0_78 ),
inference(constrained_superposition,[],[f8264,f2716]) ).
thf(f26991,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| spl0_78 ),
inference(trivial_inequality_removal,[],[f26987]) ).
thf(f26993,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_12
| ~ spl0_39
| ~ spl0_71
| spl0_78 ),
inference(forward_subsumption_resolution,[],[f26991,f26043]) ).
thf(f26995,plain,
( spl0_107
| ~ spl0_12
| ~ spl0_39
| ~ spl0_71
| spl0_78 ),
inference(avatar_split_clause,[],[f26993,f3469,f3442,f746,f206,f4398]) ).
thf(f27009,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f28,f4479]) ).
thf(f27010,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f27009]) ).
thf(f27015,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_151 ),
inference(constrained_superposition,[],[f6130,f31]) ).
thf(f27018,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_151 ),
inference(trivial_inequality_removal,[],[f27015]) ).
thf(f27020,plain,
( spl0_216
| spl0_230
| spl0_151 ),
inference(avatar_split_clause,[],[f27018,f6129,f9534,f9345]) ).
thf(f27070,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f79,f8939]) ).
thf(f27091,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f27070]) ).
thf(f27103,plain,
( spl0_256
| spl0_257
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f27091,f8938,f10869,f10866]) ).
thf(f27135,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_263 ),
inference(constrained_superposition,[],[f11142,f31]) ).
thf(f27139,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_263 ),
inference(trivial_inequality_removal,[],[f27135]) ).
thf(f27143,plain,
( spl0_266
| spl0_267
| spl0_263 ),
inference(avatar_split_clause,[],[f27139,f11141,f11204,f11198]) ).
thf(f27199,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f26863,f2252]) ).
thf(f27211,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f27199]) ).
thf(f27216,plain,
( spl0_268
| ~ spl0_68
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f27211,f26862,f3432,f11231]) ).
thf(f27231,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_303
| ~ spl0_399 ),
inference(constrained_superposition,[],[f26417,f12542]) ).
thf(f27233,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_303
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f27231]) ).
thf(f27236,plain,
( $false
| ~ spl0_2
| ~ spl0_303
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f27233,f87]) ).
thf(f27237,plain,
( ~ spl0_2
| ~ spl0_303
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f27236]) ).
thf(f27410,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_203
| ~ spl0_396 ),
inference(constrained_superposition,[],[f26402,f8961]) ).
thf(f27411,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f28,f8961]) ).
thf(f27412,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_203
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f27410]) ).
thf(f27413,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f27411]) ).
thf(f27414,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_203
| ~ spl0_396 ),
inference(constrained_superposition,[],[f27412,f1883]) ).
thf(f27417,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_203
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f27414]) ).
thf(f27469,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_353 ),
inference(constrained_superposition,[],[f16870,f38]) ).
thf(f27472,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_353 ),
inference(trivial_inequality_removal,[],[f27469]) ).
thf(f27476,plain,
( spl0_267
| spl0_354
| spl0_353 ),
inference(avatar_split_clause,[],[f27472,f16869,f16881,f11204]) ).
thf(f27504,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f321,f8957]) ).
thf(f27505,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f199,f8957]) ).
thf(f27514,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f2707,f8957]) ).
thf(f27527,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f27504]) ).
thf(f27535,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f27514]) ).
thf(f27544,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f27505]) ).
thf(f27547,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_202
| spl0_276 ),
inference(forward_subsumption_resolution,[],[f27527,f12377]) ).
thf(f27550,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_202 ),
inference(forward_subsumption_resolution,[],[f27535,f33]) ).
thf(f27554,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_202
| spl0_276 ),
inference(forward_subsumption_resolution,[],[f27544,f12377]) ).
thf(f27555,plain,
( ~ spl0_294
| ~ spl0_355
| ~ spl0_202
| spl0_276 ),
inference(avatar_split_clause,[],[f27547,f11510,f8956,f16913,f12504]) ).
thf(f27556,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_202
| ~ spl0_239
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f27550,f26913]) ).
thf(f27559,plain,
( spl0_296
| ~ spl0_202
| spl0_276 ),
inference(avatar_split_clause,[],[f27554,f11510,f8956,f12511]) ).
thf(f27560,plain,
( spl0_303
| spl0_288
| ~ spl0_202
| ~ spl0_239
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f27556,f11157,f9847,f8956,f12375,f12541]) ).
thf(f27561,plain,
( spl0_107
| spl0_73
| spl0_78 ),
inference(avatar_split_clause,[],[f26991,f3469,f3449,f4398]) ).
thf(f27619,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f392,f31]) ).
thf(f27626,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f27619]) ).
thf(f27636,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f526,f31]) ).
thf(f27637,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f27636]) ).
thf(f27659,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f28,f8942]) ).
thf(f27661,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f27659]) ).
thf(f27757,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f27010,f2716]) ).
thf(f27763,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z = X1 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f27757]) ).
thf(f27780,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f27763,f26878]) ).
thf(f27783,plain,
( spl0_107
| spl0_382
| ~ spl0_2
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f27780,f4478,f86,f22857,f4398]) ).
thf(f27851,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f3415,f8957]) ).
thf(f27883,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f27851]) ).
thf(f27893,plain,
( spl0_268
| spl0_302
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f27883,f8956,f12537,f11231]) ).
thf(f27940,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_244
| ~ spl0_253 ),
inference(constrained_superposition,[],[f26969,f9881]) ).
thf(f27948,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_244
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f27940]) ).
thf(f28004,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f79,f8950]) ).
thf(f28028,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f28004]) ).
thf(f28041,plain,
( spl0_271
| spl0_255
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f28028,f8949,f10847,f11272]) ).
thf(f28045,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_201 ),
inference(constrained_superposition,[],[f28,f8954]) ).
thf(f28047,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f28045]) ).
thf(f28061,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_219
| ~ spl0_390 ),
inference(constrained_superposition,[],[f25734,f9447]) ).
thf(f28067,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_219
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f28061]) ).
thf(f28100,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_201
| ~ spl0_276 ),
inference(constrained_superposition,[],[f28047,f11511]) ).
thf(f28101,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_201
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f28100]) ).
thf(f28115,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_201
| ~ spl0_276 ),
inference(constrained_superposition,[],[f28101,f1883]) ).
thf(f28117,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_201
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f28115]) ).
thf(f28174,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f27413,f8961]) ).
thf(f28179,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f28174]) ).
thf(f28294,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f27626,f36]) ).
thf(f28297,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f28294]) ).
thf(f28301,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f27637,f31]) ).
thf(f28308,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f28301]) ).
thf(f28384,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_195
| ~ spl0_276 ),
inference(constrained_superposition,[],[f8467,f11511]) ).
thf(f28390,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_195
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f28384]) ).
thf(f28397,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_195
| ~ spl0_239
| ~ spl0_265
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f28390,f26913]) ).
thf(f28401,plain,
( spl0_209
| ~ spl0_195
| ~ spl0_239
| ~ spl0_265
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f28397,f11510,f11157,f9847,f8466,f9015]) ).
thf(f28408,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_201
| spl0_223
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f28117,f18849]) ).
thf(f28410,plain,
( ~ spl0_103
| ~ spl0_219
| ~ spl0_390 ),
inference(avatar_split_clause,[],[f28067,f25733,f9446,f4218]) ).
thf(f28414,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f28297,f33]) ).
thf(f28417,plain,
( spl0_314
| spl0_279
| ~ spl0_201
| spl0_223
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f28408,f11510,f9463,f8953,f11921,f12833]) ).
thf(f28418,plain,
( spl0_7
| spl0_12
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f28414,f391,f206,f139]) ).
thf(f28431,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f28,f207]) ).
thf(f28432,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f28431]) ).
thf(f28495,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_208 ),
inference(constrained_superposition,[],[f28432,f8978]) ).
thf(f28501,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_12
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f28495]) ).
thf(f28528,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_199
| ~ spl0_396 ),
inference(constrained_superposition,[],[f26402,f8947]) ).
thf(f28529,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_199 ),
inference(constrained_superposition,[],[f28,f8947]) ).
thf(f28530,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_199
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f28528]) ).
thf(f28532,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f28529]) ).
thf(f28568,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_202
| ~ spl0_264 ),
inference(constrained_superposition,[],[f11147,f8957]) ).
thf(f28614,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ~ spl0_202
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f28568]) ).
thf(f28620,plain,
( ~ spl0_344
| ~ spl0_353
| ~ spl0_202
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f28614,f11146,f8956,f16869,f16141]) ).
thf(f28655,plain,
( spl0_386
| ~ spl0_12
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f28501,f8977,f206,f24046]) ).
thf(f28656,plain,
( spl0_386
| ~ spl0_244
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f27948,f10644,f9880,f24046]) ).
thf(f28663,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_7
| ~ spl0_203
| ~ spl0_396 ),
inference(forward_subsumption_resolution,[],[f27417,f5134]) ).
thf(f28665,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_7
| ~ spl0_203
| ~ spl0_396 ),
inference(forward_subsumption_resolution,[],[f28663,f33]) ).
thf(f28666,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_2
| spl0_7
| ~ spl0_203
| ~ spl0_396 ),
inference(forward_subsumption_resolution,[],[f28665,f17595]) ).
thf(f28667,plain,
( spl0_288
| spl0_2
| spl0_7
| ~ spl0_203
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f28666,f26401,f8960,f139,f86,f12375]) ).
thf(f28672,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f28,f3450]) ).
thf(f28674,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f28672]) ).
thf(f28697,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f28674,f3450]) ).
thf(f28699,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f28697]) ).
thf(f28702,plain,
( spl0_382
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f28699,f3449,f22857]) ).
thf(f28745,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_205
| ~ spl0_386 ),
inference(constrained_superposition,[],[f24047,f8968]) ).
thf(f28746,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_205 ),
inference(constrained_superposition,[],[f28,f8968]) ).
thf(f28747,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_205
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f28745]) ).
thf(f28748,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f28746]) ).
thf(f28797,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f27661,f8942]) ).
thf(f28799,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f28797]) ).
thf(f28808,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_198
| ~ spl0_208 ),
inference(constrained_superposition,[],[f28799,f8978]) ).
thf(f28814,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f28808]) ).
thf(f28815,plain,
( $false
| ~ spl0_73
| ~ spl0_198
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f28814,f3450]) ).
thf(f28816,plain,
( ~ spl0_73
| ~ spl0_198
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f28815]) ).
thf(f28851,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_65 ),
inference(constrained_superposition,[],[f3423,f38]) ).
thf(f28854,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_65 ),
inference(trivial_inequality_removal,[],[f28851]) ).
thf(f28858,plain,
( spl0_22
| spl0_109
| spl0_65 ),
inference(avatar_split_clause,[],[f28854,f3422,f4478,f261]) ).
thf(f28917,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f359,f8939]) ).
thf(f28945,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f28917]) ).
thf(f28963,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_294 ),
inference(constrained_superposition,[],[f12505,f31]) ).
thf(f28967,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_294 ),
inference(trivial_inequality_removal,[],[f28963]) ).
thf(f28970,plain,
( spl0_317
| spl0_290
| spl0_294 ),
inference(avatar_split_clause,[],[f28967,f12504,f12416,f12855]) ).
thf(f28972,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_317
| ~ spl0_393 ),
inference(constrained_superposition,[],[f25947,f14392]) ).
thf(f28975,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_317
| ~ spl0_393 ),
inference(trivial_inequality_removal,[],[f28972]) ).
thf(f28977,plain,
( $false
| ~ spl0_26
| ~ spl0_317
| ~ spl0_393 ),
inference(forward_subsumption_resolution,[],[f28975,f372]) ).
thf(f28978,plain,
( ~ spl0_26
| ~ spl0_317
| ~ spl0_393 ),
inference(avatar_contradiction_clause,[],[f28977]) ).
thf(f28979,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_197
| spl0_212 ),
inference(forward_subsumption_resolution,[],[f28945,f12862]) ).
thf(f28980,plain,
( ~ spl0_66
| spl0_145
| ~ spl0_197
| spl0_212 ),
inference(avatar_split_clause,[],[f28979,f9329,f8938,f6090,f3425]) ).
thf(f29004,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f365,f31]) ).
thf(f29014,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f29004]) ).
thf(f29083,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_155 ),
inference(constrained_superposition,[],[f6441,f1883]) ).
thf(f29088,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f29083]) ).
thf(f29117,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_199
| ~ spl0_390 ),
inference(constrained_superposition,[],[f25734,f8947]) ).
thf(f29123,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_199
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f29117]) ).
thf(f29129,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_199
| ~ spl0_390 ),
inference(constrained_superposition,[],[f29123,f1883]) ).
thf(f29132,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_199
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f29129]) ).
thf(f29162,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f11269,f64]) ).
thf(f29172,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f29162]) ).
thf(f29182,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_199
| ~ spl0_244 ),
inference(constrained_superposition,[],[f28532,f9881]) ).
thf(f29186,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_199 ),
inference(constrained_superposition,[],[f28532,f8947]) ).
thf(f29190,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_199
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f29182]) ).
thf(f29191,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f29186]) ).
thf(f29193,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_199
| ~ spl0_203 ),
inference(constrained_superposition,[],[f29191,f8961]) ).
thf(f29195,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_199 ),
inference(constrained_superposition,[],[f29191,f1883]) ).
thf(f29197,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_199
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f29193]) ).
thf(f29199,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f29195]) ).
thf(f29201,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_199
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f29199,f24047]) ).
thf(f29202,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_199
| ~ spl0_205
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f29201,f28747]) ).
thf(f29203,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_199
| ~ spl0_205
| spl0_223
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f29202,f18849]) ).
thf(f29204,plain,
( spl0_316
| ~ spl0_199
| ~ spl0_205
| spl0_223
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f29203,f24046,f9463,f8967,f8946,f12843]) ).
thf(f29209,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_199
| ~ spl0_203 ),
inference(constrained_superposition,[],[f29197,f1883]) ).
thf(f29211,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_199
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f29209]) ).
thf(f29328,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f29014,f31]) ).
thf(f29330,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f29328]) ).
thf(f29376,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_10
| spl0_219 ),
inference(constrained_superposition,[],[f17531,f164]) ).
thf(f29402,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_10
| spl0_219 ),
inference(trivial_inequality_removal,[],[f29376]) ).
thf(f29410,plain,
( $false
| ~ spl0_10
| spl0_219
| spl0_223 ),
inference(forward_subsumption_resolution,[],[f29402,f18849]) ).
thf(f29411,plain,
( ~ spl0_10
| spl0_219
| spl0_223 ),
inference(avatar_contradiction_clause,[],[f29410]) ).
thf(f29420,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_24
| spl0_276 ),
inference(constrained_superposition,[],[f12377,f29330]) ).
thf(f29438,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_24
| spl0_276 ),
inference(trivial_inequality_removal,[],[f29420]) ).
thf(f29448,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_24
| spl0_276 ),
inference(forward_subsumption_resolution,[],[f29438,f33]) ).
thf(f29453,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_24
| spl0_223
| spl0_276 ),
inference(forward_subsumption_resolution,[],[f29448,f18849]) ).
thf(f29462,plain,
( spl0_233
| ~ spl0_24
| spl0_223
| spl0_276 ),
inference(avatar_split_clause,[],[f29453,f11510,f9463,f364,f9627]) ).
thf(f29469,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_35
| spl0_212 ),
inference(constrained_superposition,[],[f12862,f28308]) ).
thf(f29470,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_35
| spl0_220 ),
inference(constrained_superposition,[],[f12870,f28308]) ).
thf(f29477,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_35
| ~ spl0_390 ),
inference(constrained_superposition,[],[f25734,f28308]) ).
thf(f29481,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_35
| ~ spl0_386 ),
inference(constrained_superposition,[],[f24047,f28308]) ).
thf(f29491,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_35
| spl0_212 ),
inference(trivial_inequality_removal,[],[f29469]) ).
thf(f29493,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_35
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f29477]) ).
thf(f29496,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_35
| spl0_220 ),
inference(trivial_inequality_removal,[],[f29470]) ).
thf(f29498,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_35
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f29481]) ).
thf(f29502,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_35
| ~ spl0_199
| spl0_212
| ~ spl0_396 ),
inference(forward_subsumption_resolution,[],[f29491,f28530]) ).
thf(f29503,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_35
| ~ spl0_71
| ~ spl0_390 ),
inference(forward_subsumption_resolution,[],[f29493,f3443]) ).
thf(f29505,plain,
( spl0_265
| spl0_233
| spl0_235
| ~ spl0_35
| spl0_220 ),
inference(avatar_split_clause,[],[f29496,f9450,f525,f9643,f9627,f11157]) ).
thf(f29507,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_26
| ~ spl0_35
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f29498,f372]) ).
thf(f29510,plain,
( spl0_230
| spl0_209
| ~ spl0_35
| ~ spl0_199
| spl0_212
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f29502,f26401,f9329,f8946,f525,f9015,f9534]) ).
thf(f29511,plain,
( spl0_235
| spl0_233
| spl0_265
| ~ spl0_35
| ~ spl0_71
| ~ spl0_390 ),
inference(avatar_split_clause,[],[f29503,f25733,f3442,f525,f11157,f9627,f9643]) ).
thf(f29513,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_26
| ~ spl0_35
| ~ spl0_199
| ~ spl0_386
| ~ spl0_396 ),
inference(forward_subsumption_resolution,[],[f29507,f28530]) ).
thf(f29515,plain,
( spl0_209
| spl0_230
| ~ spl0_26
| ~ spl0_35
| ~ spl0_199
| ~ spl0_386
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f29513,f26401,f24046,f8946,f525,f371,f9534,f9015]) ).
thf(f29536,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f28,f4399]) ).
thf(f29547,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f29536]) ).
thf(f29555,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ X0 @ X2 ) ) )
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f29547,f28]) ).
thf(f29611,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_203
| ~ spl0_381 ),
inference(constrained_superposition,[],[f28179,f25710]) ).
thf(f29625,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_203
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f29611]) ).
thf(f29632,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_203
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f29625,f33]) ).
thf(f29634,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_266 ),
inference(avatar_component_clause,[],[f11198]) ).
thf(f29635,plain,
( spl0_303
| spl0_341
| ~ spl0_266
| ~ spl0_203
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f29632,f21662,f8960,f11198,f15961,f12541]) ).
thf(f29639,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_266
| ~ spl0_381 ),
inference(constrained_superposition,[],[f29634,f25710]) ).
thf(f29643,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_266
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f29639]) ).
thf(f29646,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_223
| spl0_266
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f29643,f18849]) ).
thf(f29648,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_223
| spl0_266
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f29646,f33]) ).
thf(f29650,plain,
( spl0_267
| spl0_223
| spl0_266
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f29648,f21662,f11198,f9463,f11204]) ).
thf(f29668,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_107
| ~ spl0_199 ),
inference(constrained_superposition,[],[f29555,f8947]) ).
thf(f29670,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_107
| ~ spl0_266 ),
inference(constrained_superposition,[],[f29555,f11199]) ).
thf(f29671,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_107
| ~ spl0_205 ),
inference(constrained_superposition,[],[f29555,f8968]) ).
thf(f29673,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_107
| ~ spl0_208 ),
inference(constrained_superposition,[],[f29555,f8978]) ).
thf(f29675,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_107 ),
inference(constrained_superposition,[],[f29555,f87]) ).
thf(f29676,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_107
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f29670]) ).
thf(f29677,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_107
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f29673]) ).
thf(f29679,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_107
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f29668]) ).
thf(f29680,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f29675]) ).
thf(f29684,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_107
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f29671]) ).
thf(f29688,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_107
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f29676,f33]) ).
thf(f29689,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_107
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f29677,f33]) ).
thf(f29691,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_107
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f29679,f33]) ).
thf(f29692,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f29680,f33]) ).
thf(f29694,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_107
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f29684,f33]) ).
thf(f29697,definition,
( spl0_409
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_409])],[avatar_definition]) ).
thf(f29698,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_409 ),
inference(avatar_component_clause,[],[f29697]) ).
thf(f29699,plain,
( spl0_267
| spl0_409
| ~ spl0_107
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f29688,f11198,f4398,f29697,f11204]) ).
thf(f29700,plain,
( spl0_232
| spl0_328
| ~ spl0_107
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f29689,f8977,f4398,f13652,f9585]) ).
thf(f29701,plain,
( spl0_267
| spl0_237
| ~ spl0_107
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f29691,f8946,f4398,f9840,f11204]) ).
thf(f29702,plain,
( spl0_371
| spl0_104
| ~ spl0_2
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f29692,f4398,f86,f4221,f21236]) ).
thf(f29704,plain,
( spl0_237
| spl0_328
| ~ spl0_107
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f29694,f8967,f4398,f13652,f9840]) ).
thf(f29737,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_205
| ~ spl0_409 ),
inference(constrained_superposition,[],[f29698,f8968]) ).
thf(f29743,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_205
| ~ spl0_409 ),
inference(trivial_inequality_removal,[],[f29737]) ).
thf(f29809,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_23
| spl0_220 ),
inference(constrained_superposition,[],[f12870,f362]) ).
thf(f29810,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_23
| spl0_317 ),
inference(constrained_superposition,[],[f12856,f362]) ).
thf(f29817,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_23
| ~ spl0_393 ),
inference(constrained_superposition,[],[f25947,f362]) ).
thf(f29831,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_23
| spl0_317 ),
inference(trivial_inequality_removal,[],[f29810]) ).
thf(f29835,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_23
| ~ spl0_393 ),
inference(trivial_inequality_removal,[],[f29817]) ).
thf(f29836,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_23
| spl0_220 ),
inference(trivial_inequality_removal,[],[f29809]) ).
thf(f29838,plain,
( spl0_303
| ~ spl0_23
| spl0_317 ),
inference(avatar_split_clause,[],[f29831,f12855,f361,f12541]) ).
thf(f29840,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_23
| ~ spl0_26
| ~ spl0_393 ),
inference(forward_subsumption_resolution,[],[f29835,f372]) ).
thf(f29841,plain,
( $false
| ~ spl0_23
| spl0_220
| spl0_223 ),
inference(forward_subsumption_resolution,[],[f29836,f18849]) ).
thf(f29842,plain,
( ~ spl0_23
| spl0_220
| spl0_223 ),
inference(avatar_contradiction_clause,[],[f29841]) ).
thf(f29845,plain,
( spl0_303
| ~ spl0_23
| ~ spl0_26
| ~ spl0_393 ),
inference(avatar_split_clause,[],[f29840,f25946,f371,f361,f12541]) ).
thf(f29947,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_71
| ~ spl0_384 ),
inference(constrained_superposition,[],[f23184,f3443]) ).
thf(f29951,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_71
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f29947]) ).
thf(f29955,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_71
| spl0_78
| ~ spl0_384 ),
inference(forward_subsumption_resolution,[],[f29951,f8264]) ).
thf(f29956,plain,
( spl0_209
| ~ spl0_71
| spl0_78
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f29955,f23183,f3469,f3442,f9015]) ).
thf(f29998,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_37
| ~ spl0_314 ),
inference(forward_subsumption_resolution,[],[f12834,f738]) ).
thf(f29999,plain,
( spl0_336
| ~ spl0_37
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f29998,f12833,f737,f15809]) ).
thf(f30000,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_30
| spl0_212 ),
inference(constrained_superposition,[],[f12862,f389]) ).
thf(f30001,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_30
| spl0_220 ),
inference(constrained_superposition,[],[f12870,f389]) ).
thf(f30002,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_30
| spl0_317 ),
inference(constrained_superposition,[],[f12856,f389]) ).
thf(f30007,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_30
| ~ spl0_390 ),
inference(constrained_superposition,[],[f25734,f389]) ).
thf(f30010,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_30
| ~ spl0_386 ),
inference(constrained_superposition,[],[f24047,f389]) ).
thf(f30015,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_30
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f30010]) ).
thf(f30018,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_30
| spl0_212 ),
inference(trivial_inequality_removal,[],[f30000]) ).
thf(f30025,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_30
| spl0_220 ),
inference(trivial_inequality_removal,[],[f30001]) ).
thf(f30027,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_30
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f30007]) ).
thf(f30028,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_30
| spl0_317 ),
inference(trivial_inequality_removal,[],[f30002]) ).
thf(f30030,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_30
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f30015,f372]) ).
thf(f30031,plain,
( $false
| ~ spl0_30
| spl0_212
| spl0_216 ),
inference(forward_subsumption_resolution,[],[f30018,f12759]) ).
thf(f30032,plain,
( ~ spl0_30
| spl0_212
| spl0_216 ),
inference(avatar_contradiction_clause,[],[f30031]) ).
thf(f30036,plain,
( $false
| ~ spl0_30
| spl0_219
| spl0_220 ),
inference(forward_subsumption_resolution,[],[f30025,f17531]) ).
thf(f30037,plain,
( ~ spl0_30
| spl0_219
| spl0_220 ),
inference(avatar_contradiction_clause,[],[f30036]) ).
thf(f30038,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_30
| ~ spl0_71
| ~ spl0_390 ),
inference(forward_subsumption_resolution,[],[f30027,f3443]) ).
thf(f30039,plain,
( spl0_332
| ~ spl0_30
| spl0_317 ),
inference(avatar_split_clause,[],[f30028,f12855,f388,f14372]) ).
thf(f30041,plain,
( $false
| ~ spl0_26
| ~ spl0_30
| spl0_216
| ~ spl0_386 ),
inference(forward_subsumption_resolution,[],[f30030,f12759]) ).
thf(f30042,plain,
( ~ spl0_26
| ~ spl0_30
| spl0_216
| ~ spl0_386 ),
inference(avatar_contradiction_clause,[],[f30041]) ).
thf(f30045,plain,
( $false
| ~ spl0_30
| ~ spl0_71
| spl0_219
| ~ spl0_390 ),
inference(forward_subsumption_resolution,[],[f30038,f17531]) ).
thf(f30046,plain,
( ~ spl0_30
| ~ spl0_71
| spl0_219
| ~ spl0_390 ),
inference(avatar_contradiction_clause,[],[f30045]) ).
thf(f30048,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_78
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f29088,f8264]) ).
thf(f30049,plain,
( spl0_386
| ~ spl0_199
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f29190,f9880,f8946,f24046]) ).
thf(f30062,plain,
( ~ spl0_198
| ~ spl0_205
| ~ spl0_409 ),
inference(avatar_split_clause,[],[f29743,f29697,f8967,f8941]) ).
thf(f30064,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_279 ),
inference(avatar_component_clause,[],[f11921]) ).
thf(f30069,plain,
( spl0_195
| spl0_73
| spl0_78
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f30048,f6440,f3469,f3449,f8466]) ).
thf(f30085,plain,
( spl0_267
| spl0_244
| spl0_288
| spl0_208
| ~ spl0_199
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f29211,f8960,f8946,f8977,f12375,f9880,f11204]) ).
thf(f30086,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_239
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f26872,f9848]) ).
thf(f30088,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_83
| ~ spl0_199
| ~ spl0_390 ),
inference(forward_subsumption_resolution,[],[f29132,f8904]) ).
thf(f30090,plain,
( spl0_366
| ~ spl0_239
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f30086,f26871,f9847,f20347]) ).
thf(f30091,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_78
| spl0_83
| ~ spl0_199
| ~ spl0_390 ),
inference(forward_subsumption_resolution,[],[f30088,f8264]) ).
thf(f30092,plain,
( spl0_244
| spl0_73
| spl0_78
| spl0_83
| ~ spl0_199
| ~ spl0_390 ),
inference(avatar_split_clause,[],[f30091,f25733,f8946,f3521,f3469,f3449,f9880]) ).
thf(f30172,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_227 ),
inference(constrained_superposition,[],[f9480,f31]) ).
thf(f30173,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_227 ),
inference(trivial_inequality_removal,[],[f30172]) ).
thf(f30176,plain,
( spl0_265
| spl0_235
| spl0_227 ),
inference(avatar_split_clause,[],[f30173,f9479,f9643,f11157]) ).
thf(f30188,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_203
| ~ spl0_303 ),
inference(constrained_superposition,[],[f28179,f12542]) ).
thf(f30191,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_203
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f30188]) ).
thf(f30197,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_205
| ~ spl0_265 ),
inference(constrained_superposition,[],[f28748,f11158]) ).
thf(f30200,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_205
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f30197]) ).
thf(f30203,plain,
( spl0_396
| ~ spl0_205
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f30200,f11157,f8967,f26401]) ).
thf(f30214,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f392,f37]) ).
thf(f30219,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f30214]) ).
thf(f30294,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_266 ),
inference(constrained_superposition,[],[f29634,f1883]) ).
thf(f30297,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_266 ),
inference(trivial_inequality_removal,[],[f30294]) ).
thf(f30303,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_266
| spl0_279 ),
inference(forward_subsumption_resolution,[],[f30297,f30064]) ).
thf(f30304,plain,
( ~ spl0_3
| ~ spl0_74
| spl0_255
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f29172,f11268,f10847,f3454,f90]) ).
thf(f30306,plain,
( spl0_12
| ~ spl0_3
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f30219,f391,f90,f206]) ).
thf(f30307,plain,
( ~ spl0_223
| ~ spl0_203
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f30191,f12541,f8960,f9463]) ).
thf(f30310,plain,
( spl0_78
| spl0_209
| spl0_223
| spl0_266
| spl0_279 ),
inference(avatar_split_clause,[],[f30303,f11921,f11198,f9463,f9015,f3469]) ).
thf(f30312,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) ) )
| spl0_7 ),
inference(constrained_superposition,[],[f5134,f2716]) ).
thf(f30316,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| spl0_7 ),
inference(trivial_inequality_removal,[],[f30312]) ).
thf(f30318,plain,
( spl0_238
| spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f30316,f139,f86,f9844]) ).
thf(f30324,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f28,f207]) ).
thf(f30326,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f30324]) ).
thf(f30340,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_74 ),
inference(constrained_superposition,[],[f3455,f31]) ).
thf(f30342,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_74 ),
inference(trivial_inequality_removal,[],[f30340]) ).
thf(f30345,plain,
( spl0_104
| spl0_256
| spl0_74 ),
inference(avatar_split_clause,[],[f30342,f3454,f10866,f4221]) ).
thf(f30387,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(constrained_superposition,[],[f6119,f31]) ).
thf(f30390,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(trivial_inequality_removal,[],[f30387]) ).
thf(f30393,plain,
( spl0_209
| spl0_212
| spl0_148 ),
inference(avatar_split_clause,[],[f30390,f6118,f9329,f9015]) ).
thf(f30401,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_223 ),
inference(constrained_superposition,[],[f30326,f9464]) ).
thf(f30403,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_12
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f30401]) ).
thf(f30407,plain,
( spl0_387
| ~ spl0_12
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f30403,f9463,f206,f24187]) ).
thf(f30415,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_199
| ~ spl0_219 ),
inference(constrained_superposition,[],[f29191,f9447]) ).
thf(f30417,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_199
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f30415]) ).
thf(f30420,plain,
( $false
| ~ spl0_199
| ~ spl0_216
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f30417,f9346]) ).
thf(f30421,plain,
( ~ spl0_199
| ~ spl0_216
| ~ spl0_219 ),
inference(avatar_contradiction_clause,[],[f30420]) ).
cnf(s3,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f141]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f165]) ).
cnf(s10,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f240]) ).
cnf(s15,plain,
( spl0_13
| spl0_19
| spl0_22 ),
inference(sat_conversion,[],[f278]) ).
cnf(s16,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f279]) ).
cnf(s20,plain,
( ~ spl0_17
| spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f366]) ).
cnf(s23,plain,
( spl0_26
| spl0_28 ),
inference(sat_conversion,[],[f381]) ).
cnf(s24,plain,
( spl0_21
| spl0_29 ),
inference(sat_conversion,[],[f385]) ).
cnf(s26,plain,
( ~ spl0_19
| spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f393]) ).
cnf(s27,plain,
( spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f395]) ).
cnf(s29,plain,
( ~ spl0_5
| spl0_10
| spl0_32 ),
inference(sat_conversion,[],[f399]) ).
cnf(s30,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f400]) ).
cnf(s34,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f468]) ).
cnf(s36,plain,
( ~ spl0_16
| spl0_23
| spl0_34 ),
inference(sat_conversion,[],[f523]) ).
cnf(s37,plain,
( ~ spl0_20
| spl0_30
| spl0_35 ),
inference(sat_conversion,[],[f527]) ).
cnf(s41,plain,
( ~ spl0_23
| spl0_39
| spl0_40 ),
inference(sat_conversion,[],[f752]) ).
cnf(s44,plain,
( spl0_16
| spl0_26 ),
inference(sat_conversion,[],[f761]) ).
cnf(s46,plain,
( ~ spl0_26
| spl0_39 ),
inference(sat_conversion,[],[f764]) ).
cnf(s54,plain,
( ~ spl0_7
| spl0_43 ),
inference(sat_conversion,[],[f850]) ).
cnf(s61,plain,
( ~ spl0_9
| spl0_13
| spl0_22
| spl0_26 ),
inference(sat_conversion,[],[f877]) ).
cnf(s64,plain,
( ~ spl0_38
| spl0_43 ),
inference(sat_conversion,[],[f887]) ).
cnf(s71,plain,
( ~ spl0_13
| ~ spl0_39
| spl0_51 ),
inference(sat_conversion,[],[f1403]) ).
cnf(s75,plain,
( ~ spl0_13
| ~ spl0_24
| spl0_52 ),
inference(sat_conversion,[],[f1761]) ).
cnf(s87,plain,
( spl0_12
| ~ spl0_24
| ~ spl0_39
| spl0_60
| spl0_64 ),
inference(sat_conversion,[],[f2798]) ).
cnf(s95,plain,
( spl0_73
| spl0_76 ),
inference(sat_conversion,[],[f3464]) ).
cnf(s100,plain,
( spl0_68
| spl0_78 ),
inference(sat_conversion,[],[f3491]) ).
cnf(s141,plain,
~ spl0_83,
inference(sat_conversion,[],[f4063]) ).
cnf(s202,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_15
| ~ spl0_43
| spl0_74 ),
inference(sat_conversion,[],[f4204]) ).
cnf(s218,plain,
( ~ spl0_13
| ~ spl0_24
| spl0_73
| ~ spl0_103 ),
inference(sat_conversion,[],[f4401]) ).
cnf(s226,plain,
( spl0_66
| spl0_71
| spl0_83 ),
inference(sat_conversion,[],[f4467]) ).
cnf(s236,plain,
( ~ spl0_15
| spl0_22
| ~ spl0_24
| spl0_73
| ~ spl0_80
| spl0_114 ),
inference(sat_conversion,[],[f4651]) ).
cnf(s256,plain,
( ~ spl0_60
| ~ spl0_80
| spl0_83
| spl0_121 ),
inference(sat_conversion,[],[f4707]) ).
cnf(s267,plain,
( ~ spl0_30
| spl0_71
| spl0_103 ),
inference(sat_conversion,[],[f4743]) ).
cnf(s288,plain,
~ spl0_22,
inference(sat_conversion,[],[f4938]) ).
cnf(s297,plain,
( ~ spl0_15
| ~ spl0_78
| ~ spl0_80
| spl0_115 ),
inference(sat_conversion,[],[f5028]) ).
cnf(s312,plain,
( ~ spl0_34
| spl0_71
| spl0_78
| spl0_83 ),
inference(sat_conversion,[],[f5058]) ).
cnf(s317,plain,
( ~ spl0_13
| ~ spl0_15
| spl0_78
| ~ spl0_103 ),
inference(sat_conversion,[],[f5063]) ).
cnf(s321,plain,
( ~ spl0_2
| spl0_22
| spl0_26
| ~ spl0_60
| spl0_71
| spl0_78
| ~ spl0_103 ),
inference(sat_conversion,[],[f5068]) ).
cnf(s323,plain,
( ~ spl0_114
| ~ spl0_115 ),
inference(sat_conversion,[],[f5089]) ).
cnf(s324,plain,
( ~ spl0_30
| spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f5090]) ).
cnf(s330,plain,
( ~ spl0_16
| spl0_126
| spl0_127 ),
inference(sat_conversion,[],[f5103]) ).
cnf(s336,plain,
( ~ spl0_3
| spl0_130
| spl0_131 ),
inference(sat_conversion,[],[f5143]) ).
cnf(s340,plain,
( ~ spl0_13
| spl0_43 ),
inference(sat_conversion,[],[f5153]) ).
cnf(s349,plain,
( ~ spl0_21
| spl0_39 ),
inference(sat_conversion,[],[f5201]) ).
cnf(s355,plain,
( spl0_43
| ~ spl0_103 ),
inference(sat_conversion,[],[f5236]) ).
cnf(s357,plain,
( spl0_70
| spl0_73 ),
inference(sat_conversion,[],[f5238]) ).
cnf(s365,plain,
( spl0_7
| ~ spl0_54
| spl0_73
| ~ spl0_103 ),
inference(sat_conversion,[],[f5264]) ).
cnf(s368,plain,
( spl0_39
| ~ spl0_71 ),
inference(sat_conversion,[],[f5289]) ).
cnf(s369,plain,
( ~ spl0_51
| ~ spl0_71
| ~ spl0_103 ),
inference(sat_conversion,[],[f5291]) ).
cnf(s372,plain,
( ~ spl0_26
| ~ spl0_78
| ~ spl0_108 ),
inference(sat_conversion,[],[f5359]) ).
cnf(s373,plain,
( ~ spl0_2
| ~ spl0_43
| ~ spl0_73
| ~ spl0_103 ),
inference(sat_conversion,[],[f5398]) ).
cnf(s384,plain,
( ~ spl0_23
| spl0_71
| spl0_73 ),
inference(sat_conversion,[],[f5747]) ).
cnf(s386,plain,
( ~ spl0_10
| ~ spl0_23
| spl0_40
| ~ spl0_51 ),
inference(sat_conversion,[],[f5752]) ).
cnf(s394,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_15
| ~ spl0_43
| spl0_80
| ~ spl0_132 ),
inference(sat_conversion,[],[f5766]) ).
cnf(s395,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_15
| ~ spl0_43
| ~ spl0_74
| ~ spl0_79
| spl0_80 ),
inference(sat_conversion,[],[f5767]) ).
cnf(s403,plain,
( ~ spl0_15
| ~ spl0_40
| ~ spl0_80 ),
inference(sat_conversion,[],[f5855]) ).
cnf(s431,plain,
~ spl0_104,
inference(sat_conversion,[],[f6115]) ).
cnf(s538,plain,
( spl0_12
| ~ spl0_24
| spl0_26
| spl0_54 ),
inference(sat_conversion,[],[f7559]) ).
cnf(s571,plain,
( ~ spl0_15
| spl0_40
| ~ spl0_73
| ~ spl0_78
| ~ spl0_80
| ~ spl0_115 ),
inference(sat_conversion,[],[f8234]) ).
cnf(s599,plain,
( spl0_71
| spl0_78
| ~ spl0_127 ),
inference(sat_conversion,[],[f8274]) ).
cnf(s607,plain,
( ~ spl0_15
| ~ spl0_109
| spl0_114
| ~ spl0_121 ),
inference(sat_conversion,[],[f8292]) ).
cnf(s612,plain,
( ~ spl0_60
| spl0_78
| spl0_83
| spl0_109 ),
inference(sat_conversion,[],[f8318]) ).
cnf(s613,plain,
( spl0_12
| spl0_22
| spl0_26
| spl0_78
| spl0_109 ),
inference(sat_conversion,[],[f8319]) ).
cnf(s623,plain,
( ~ spl0_39
| spl0_108
| ~ spl0_109 ),
inference(sat_conversion,[],[f8405]) ).
cnf(s632,plain,
( spl0_78
| spl0_103
| ~ spl0_130 ),
inference(sat_conversion,[],[f8567]) ).
cnf(s639,plain,
( ~ spl0_53
| ~ spl0_71
| spl0_73
| spl0_78
| spl0_85 ),
inference(sat_conversion,[],[f8646]) ).
cnf(s642,plain,
( spl0_83
| spl0_197
| spl0_198 ),
inference(sat_conversion,[],[f8943]) ).
cnf(s643,plain,
( spl0_83
| spl0_199
| spl0_200 ),
inference(sat_conversion,[],[f8951]) ).
cnf(s644,plain,
( spl0_83
| spl0_201
| spl0_202 ),
inference(sat_conversion,[],[f8958]) ).
cnf(s645,plain,
( spl0_83
| spl0_203
| spl0_204 ),
inference(sat_conversion,[],[f8965]) ).
cnf(s646,plain,
( spl0_83
| spl0_205
| spl0_206 ),
inference(sat_conversion,[],[f8972]) ).
cnf(s650,plain,
( ~ spl0_82
| ~ spl0_108
| ~ spl0_126
| ~ spl0_198
| spl0_209 ),
inference(sat_conversion,[],[f9023]) ).
cnf(s677,plain,
~ spl0_209,
inference(sat_conversion,[],[f9263]) ).
cnf(s700,plain,
( ~ spl0_6
| ~ spl0_200
| spl0_216
| ~ spl0_224
| ~ spl0_225 ),
inference(sat_conversion,[],[f9472]) ).
cnf(s706,plain,
( ~ spl0_82
| spl0_147
| ~ spl0_198 ),
inference(sat_conversion,[],[f9496]) ).
cnf(s707,plain,
( spl0_147
| spl0_208 ),
inference(sat_conversion,[],[f9497]) ).
cnf(s710,plain,
( ~ spl0_28
| ~ spl0_200
| spl0_212
| ~ spl0_224
| ~ spl0_226 ),
inference(sat_conversion,[],[f9504]) ).
cnf(s723,plain,
( spl0_148
| spl0_212 ),
inference(sat_conversion,[],[f9597]) ).
cnf(s729,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_195
| spl0_209
| ~ spl0_219 ),
inference(sat_conversion,[],[f9625]) ).
cnf(s732,plain,
( spl0_219
| spl0_225
| spl0_235 ),
inference(sat_conversion,[],[f9645]) ).
cnf(s740,plain,
( spl0_220
| spl0_226
| spl0_233 ),
inference(sat_conversion,[],[f9703]) ).
cnf(s743,plain,
( ~ spl0_60
| ~ spl0_220
| spl0_233
| spl0_236 ),
inference(sat_conversion,[],[f9731]) ).
cnf(s747,plain,
( ~ spl0_15
| ~ spl0_114
| ~ spl0_199 ),
inference(sat_conversion,[],[f9837]) ).
cnf(s749,plain,
( ~ spl0_60
| ~ spl0_199
| spl0_233
| spl0_237 ),
inference(sat_conversion,[],[f9842]) ).
cnf(s752,plain,
( ~ spl0_15
| ~ spl0_39
| ~ spl0_71
| ~ spl0_80
| spl0_114 ),
inference(sat_conversion,[],[f9853]) ).
cnf(s756,plain,
( ~ spl0_16
| ~ spl0_70
| spl0_71
| spl0_83
| spl0_243 ),
inference(sat_conversion,[],[f9877]) ).
cnf(s759,plain,
( ~ spl0_7
| ~ spl0_43
| spl0_239 ),
inference(sat_conversion,[],[f9884]) ).
cnf(s761,plain,
( spl0_207
| spl0_244 ),
inference(sat_conversion,[],[f9887]) ).
cnf(s764,plain,
( ~ spl0_15
| ~ spl0_39
| ~ spl0_71
| ~ spl0_107
| spl0_245 ),
inference(sat_conversion,[],[f9894]) ).
cnf(s770,plain,
( ~ spl0_12
| ~ spl0_73
| ~ spl0_155 ),
inference(sat_conversion,[],[f9920]) ).
cnf(s776,plain,
( spl0_26
| spl0_71
| spl0_83
| ~ spl0_107 ),
inference(sat_conversion,[],[f9964]) ).
cnf(s777,plain,
( ~ spl0_15
| ~ spl0_73
| ~ spl0_80
| ~ spl0_223 ),
inference(sat_conversion,[],[f9972]) ).
cnf(s810,plain,
~ spl0_230,
inference(sat_conversion,[],[f10200]) ).
cnf(s814,plain,
( ~ spl0_5
| spl0_103
| ~ spl0_124 ),
inference(sat_conversion,[],[f10223]) ).
cnf(s815,plain,
( ~ spl0_17
| spl0_71
| ~ spl0_124 ),
inference(sat_conversion,[],[f10224]) ).
cnf(s816,plain,
( ~ spl0_73
| ~ spl0_80
| ~ spl0_114 ),
inference(sat_conversion,[],[f10252]) ).
cnf(s826,plain,
( ~ spl0_15
| ~ spl0_109
| ~ spl0_198
| spl0_244 ),
inference(sat_conversion,[],[f10306]) ).
cnf(s828,plain,
( ~ spl0_17
| ~ spl0_68
| spl0_83
| spl0_109
| spl0_249 ),
inference(sat_conversion,[],[f10310]) ).
cnf(s829,plain,
( ~ spl0_68
| spl0_83
| spl0_109
| spl0_250 ),
inference(sat_conversion,[],[f10314]) ).
cnf(s830,plain,
( spl0_26
| spl0_104
| ~ spl0_108
| ~ spl0_198
| spl0_208
| spl0_244 ),
inference(sat_conversion,[],[f10315]) ).
cnf(s845,plain,
~ spl0_233,
inference(sat_conversion,[],[f10516]) ).
cnf(s860,plain,
( ~ spl0_12
| spl0_37 ),
inference(sat_conversion,[],[f10576]) ).
cnf(s863,plain,
( ~ spl0_7
| ~ spl0_13
| ~ spl0_37 ),
inference(sat_conversion,[],[f10589]) ).
cnf(s865,plain,
( ~ spl0_3
| spl0_73
| ~ spl0_125 ),
inference(sat_conversion,[],[f10592]) ).
cnf(s872,plain,
( ~ spl0_21
| ~ spl0_53
| spl0_56
| ~ spl0_239 ),
inference(sat_conversion,[],[f10607]) ).
cnf(s873,plain,
( spl0_7
| spl0_241 ),
inference(sat_conversion,[],[f10621]) ).
cnf(s874,plain,
( spl0_7
| ~ spl0_85 ),
inference(sat_conversion,[],[f10624]) ).
cnf(s883,plain,
( ~ spl0_74
| ~ spl0_79
| spl0_132 ),
inference(sat_conversion,[],[f10651]) ).
cnf(s887,plain,
( spl0_2
| spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f10657]) ).
cnf(s894,plain,
( ~ spl0_17
| ~ spl0_146
| spl0_212 ),
inference(sat_conversion,[],[f10746]) ).
cnf(s895,plain,
( ~ spl0_5
| ~ spl0_146
| spl0_216 ),
inference(sat_conversion,[],[f10747]) ).
cnf(s901,plain,
( ~ spl0_51
| ~ spl0_79
| spl0_125
| ~ spl0_197
| ~ spl0_212 ),
inference(sat_conversion,[],[f10834]) ).
cnf(s904,plain,
( spl0_217
| spl0_255 ),
inference(sat_conversion,[],[f10851]) ).
cnf(s906,plain,
( ~ spl0_114
| ~ spl0_239
| ~ spl0_255 ),
inference(sat_conversion,[],[f10863]) ).
cnf(s907,plain,
( ~ spl0_56
| spl0_104
| ~ spl0_255 ),
inference(sat_conversion,[],[f10864]) ).
cnf(s912,plain,
( ~ spl0_78
| ~ spl0_239
| ~ spl0_256 ),
inference(sat_conversion,[],[f10892]) ).
cnf(s913,plain,
( ~ spl0_15
| spl0_157
| ~ spl0_256 ),
inference(sat_conversion,[],[f10893]) ).
cnf(s919,plain,
( ~ spl0_21
| ~ spl0_26
| ~ spl0_239 ),
inference(sat_conversion,[],[f10900]) ).
cnf(s931,plain,
( spl0_258
| spl0_260 ),
inference(sat_conversion,[],[f10958]) ).
cnf(s946,plain,
( ~ spl0_56
| spl0_230
| ~ spl0_265 ),
inference(sat_conversion,[],[f11170]) ).
cnf(s947,plain,
( ~ spl0_155
| ~ spl0_253
| ~ spl0_260 ),
inference(sat_conversion,[],[f11186]) ).
cnf(s973,plain,
( ~ spl0_76
| ~ spl0_147
| ~ spl0_200
| spl0_268
| ~ spl0_272 ),
inference(sat_conversion,[],[f11325]) ).
cnf(s974,plain,
( ~ spl0_52
| spl0_104
| spl0_208
| ~ spl0_216 ),
inference(sat_conversion,[],[f11327]) ).
cnf(s979,plain,
( ~ spl0_7
| ~ spl0_26
| ~ spl0_51 ),
inference(sat_conversion,[],[f11335]) ).
cnf(s982,plain,
( spl0_2
| spl0_7
| ~ spl0_13
| ~ spl0_43
| spl0_78
| ~ spl0_109 ),
inference(sat_conversion,[],[f11342]) ).
cnf(s994,plain,
( ~ spl0_5
| spl0_26
| ~ spl0_35 ),
inference(sat_conversion,[],[f11456]) ).
cnf(s998,plain,
( spl0_228
| spl0_276 ),
inference(sat_conversion,[],[f11514]) ).
cnf(s1000,plain,
( ~ spl0_39
| spl0_236
| ~ spl0_276 ),
inference(sat_conversion,[],[f11525]) ).
cnf(s1024,plain,
~ spl0_235,
inference(sat_conversion,[],[f11711]) ).
cnf(s1030,plain,
( ~ spl0_82
| ~ spl0_223
| ~ spl0_266 ),
inference(sat_conversion,[],[f11741]) ).
cnf(s1054,plain,
( ~ spl0_155
| ~ spl0_268
| ~ spl0_276 ),
inference(sat_conversion,[],[f11914]) ).
cnf(s1058,plain,
( ~ spl0_15
| ~ spl0_39
| ~ spl0_71
| ~ spl0_268
| spl0_279 ),
inference(sat_conversion,[],[f11927]) ).
cnf(s1059,plain,
( ~ spl0_73
| ~ spl0_223
| ~ spl0_268
| ~ spl0_279 ),
inference(sat_conversion,[],[f11933]) ).
cnf(s1060,plain,
( ~ spl0_51
| ~ spl0_219
| ~ spl0_220 ),
inference(sat_conversion,[],[f11941]) ).
cnf(s1063,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_219
| ~ spl0_279 ),
inference(sat_conversion,[],[f11999]) ).
cnf(s1064,plain,
( ~ spl0_199
| ~ spl0_223
| ~ spl0_244 ),
inference(sat_conversion,[],[f12018]) ).
cnf(s1067,plain,
( spl0_223
| spl0_272 ),
inference(sat_conversion,[],[f12023]) ).
cnf(s1071,plain,
( ~ spl0_76
| ~ spl0_147
| ~ spl0_206
| spl0_253
| ~ spl0_272 ),
inference(sat_conversion,[],[f12098]) ).
cnf(s1091,plain,
~ spl0_267,
inference(sat_conversion,[],[f12348]) ).
cnf(s1093,plain,
( ~ spl0_15
| ~ spl0_201
| ~ spl0_276
| spl0_288 ),
inference(sat_conversion,[],[f12378]) ).
cnf(s1102,plain,
( ~ spl0_204
| ~ spl0_226
| ~ spl0_228
| spl0_295 ),
inference(sat_conversion,[],[f12524]) ).
cnf(s1104,plain,
( ~ spl0_204
| ~ spl0_262
| ~ spl0_263
| spl0_301 ),
inference(sat_conversion,[],[f12535]) ).
cnf(s1130,plain,
( ~ spl0_198
| spl0_209
| ~ spl0_316 ),
inference(sat_conversion,[],[f12853]) ).
cnf(s1134,plain,
( ~ spl0_15
| ~ spl0_109
| ~ spl0_198
| spl0_244 ),
inference(sat_conversion,[],[f12864]) ).
cnf(s1135,plain,
( ~ spl0_15
| spl0_244
| spl0_260 ),
inference(sat_conversion,[],[f12866]) ).
cnf(s1138,plain,
( ~ spl0_205
| ~ spl0_212
| ~ spl0_236 ),
inference(sat_conversion,[],[f12869]) ).
cnf(s1143,plain,
( ~ spl0_201
| ~ spl0_236
| ~ spl0_317 ),
inference(sat_conversion,[],[f12881]) ).
cnf(s1152,plain,
( ~ spl0_15
| ~ spl0_40
| ~ spl0_73
| ~ spl0_198 ),
inference(sat_conversion,[],[f12921]) ).
cnf(s1153,plain,
( ~ spl0_40
| ~ spl0_73
| spl0_186 ),
inference(sat_conversion,[],[f12922]) ).
cnf(s1173,plain,
( ~ spl0_15
| ~ spl0_199
| ~ spl0_203
| spl0_208
| spl0_244
| spl0_267
| ~ spl0_279 ),
inference(sat_conversion,[],[f13103]) ).
cnf(s1180,plain,
( ~ spl0_78
| ~ spl0_198
| ~ spl0_208 ),
inference(sat_conversion,[],[f13212]) ).
cnf(s1181,plain,
( ~ spl0_205
| ~ spl0_208
| ~ spl0_279 ),
inference(sat_conversion,[],[f13214]) ).
cnf(s1185,plain,
( ~ spl0_51
| ~ spl0_212
| ~ spl0_216 ),
inference(sat_conversion,[],[f13219]) ).
cnf(s1187,plain,
( spl0_12
| spl0_26
| spl0_230
| spl0_276
| spl0_279 ),
inference(sat_conversion,[],[f13225]) ).
cnf(s1190,plain,
( spl0_26
| spl0_220
| spl0_223
| spl0_230
| spl0_279 ),
inference(sat_conversion,[],[f13228]) ).
cnf(s1204,plain,
( ~ spl0_78
| ~ spl0_186
| ~ spl0_198 ),
inference(sat_conversion,[],[f13332]) ).
cnf(s1207,plain,
( spl0_7
| ~ spl0_12
| ~ spl0_39
| ~ spl0_51
| ~ spl0_220
| spl0_279 ),
inference(sat_conversion,[],[f13396]) ).
cnf(s1208,plain,
( ~ spl0_237
| ~ spl0_244
| ~ spl0_279 ),
inference(sat_conversion,[],[f13404]) ).
cnf(s1209,plain,
( spl0_7
| ~ spl0_51
| ~ spl0_220
| spl0_223
| spl0_279 ),
inference(sat_conversion,[],[f13405]) ).
cnf(s1212,plain,
( spl0_12
| ~ spl0_13
| spl0_26
| ~ spl0_43
| spl0_274 ),
inference(sat_conversion,[],[f13409]) ).
cnf(s1216,plain,
( spl0_7
| spl0_21
| ~ spl0_243 ),
inference(sat_conversion,[],[f13446]) ).
cnf(s1221,plain,
( ~ spl0_13
| ~ spl0_43
| ~ spl0_265
| ~ spl0_276 ),
inference(sat_conversion,[],[f13497]) ).
cnf(s1228,plain,
( spl0_2
| spl0_7
| ~ spl0_13
| ~ spl0_37
| ~ spl0_43
| ~ spl0_276 ),
inference(sat_conversion,[],[f13529]) ).
cnf(s1229,plain,
( spl0_2
| spl0_7
| ~ spl0_13
| ~ spl0_43
| ~ spl0_276
| spl0_279 ),
inference(sat_conversion,[],[f13530]) ).
cnf(s1233,plain,
( ~ spl0_43
| ~ spl0_103
| spl0_157 ),
inference(sat_conversion,[],[f13549]) ).
cnf(s1237,plain,
( spl0_224
| spl0_279 ),
inference(sat_conversion,[],[f13568]) ).
cnf(s1248,plain,
( spl0_253
| spl0_281 ),
inference(sat_conversion,[],[f13656]) ).
cnf(s1250,plain,
( spl0_83
| spl0_253
| spl0_281 ),
inference(sat_conversion,[],[f13658]) ).
cnf(s1251,plain,
( ~ spl0_26
| ~ spl0_73
| ~ spl0_208
| ~ spl0_212 ),
inference(sat_conversion,[],[f13703]) ).
cnf(s1272,plain,
( ~ spl0_15
| ~ spl0_78
| ~ spl0_268
| ~ spl0_279 ),
inference(sat_conversion,[],[f13837]) ).
cnf(s1273,plain,
( ~ spl0_157
| ~ spl0_265
| ~ spl0_268 ),
inference(sat_conversion,[],[f13839]) ).
cnf(s1275,plain,
( ~ spl0_12
| ~ spl0_232
| ~ spl0_260 ),
inference(sat_conversion,[],[f13842]) ).
cnf(s1277,plain,
( ~ spl0_37
| ~ spl0_244
| ~ spl0_260 ),
inference(sat_conversion,[],[f13889]) ).
cnf(s1282,plain,
( ~ spl0_15
| ~ spl0_78
| ~ spl0_198
| ~ spl0_244 ),
inference(sat_conversion,[],[f13956]) ).
cnf(s1284,plain,
( spl0_2
| spl0_7
| ~ spl0_13
| ~ spl0_43
| spl0_244
| ~ spl0_260 ),
inference(sat_conversion,[],[f13963]) ).
cnf(s1285,plain,
( spl0_7
| spl0_208
| spl0_216
| spl0_244 ),
inference(sat_conversion,[],[f13964]) ).
cnf(s1320,plain,
~ spl0_329,
inference(sat_conversion,[],[f14293]) ).
cnf(s1324,plain,
( ~ spl0_17
| spl0_220
| ~ spl0_285 ),
inference(sat_conversion,[],[f14341]) ).
cnf(s1325,plain,
( ~ spl0_15
| ~ spl0_203
| ~ spl0_279
| ~ spl0_288 ),
inference(sat_conversion,[],[f14354]) ).
cnf(s1326,plain,
( ~ spl0_15
| ~ spl0_78
| ~ spl0_266
| ~ spl0_279 ),
inference(sat_conversion,[],[f14356]) ).
cnf(s1334,plain,
( ~ spl0_51
| ~ spl0_317
| ~ spl0_332 ),
inference(sat_conversion,[],[f14403]) ).
cnf(s1336,plain,
( ~ spl0_15
| ~ spl0_199
| ~ spl0_244
| ~ spl0_279 ),
inference(sat_conversion,[],[f14420]) ).
cnf(s1337,plain,
( ~ spl0_5
| spl0_13
| ~ spl0_24 ),
inference(sat_conversion,[],[f14421]) ).
cnf(s1346,plain,
( ~ spl0_9
| spl0_130 ),
inference(sat_conversion,[],[f14509]) ).
cnf(s1355,plain,
( ~ spl0_66
| ~ spl0_149
| ~ spl0_197 ),
inference(sat_conversion,[],[f14606]) ).
cnf(s1356,plain,
( ~ spl0_20
| ~ spl0_149
| spl0_216 ),
inference(sat_conversion,[],[f14607]) ).
cnf(s1360,plain,
( ~ spl0_21
| ~ spl0_71
| ~ spl0_157 ),
inference(sat_conversion,[],[f14633]) ).
cnf(s1362,plain,
( ~ spl0_148
| spl0_149
| ~ spl0_200
| spl0_220 ),
inference(sat_conversion,[],[f14636]) ).
cnf(s1365,plain,
( ~ spl0_200
| ~ spl0_225
| ~ spl0_227
| spl0_255 ),
inference(sat_conversion,[],[f14639]) ).
cnf(s1371,plain,
( ~ spl0_19
| spl0_71
| ~ spl0_125 ),
inference(sat_conversion,[],[f14711]) ).
cnf(s1389,plain,
( ~ spl0_2
| ~ spl0_40
| ~ spl0_157 ),
inference(sat_conversion,[],[f14805]) ).
cnf(s1402,plain,
( ~ spl0_2
| spl0_239 ),
inference(sat_conversion,[],[f14910]) ).
cnf(s1404,plain,
( ~ spl0_239
| ~ spl0_244
| ~ spl0_255 ),
inference(sat_conversion,[],[f14922]) ).
cnf(s1415,plain,
( ~ spl0_2
| ~ spl0_26
| ~ spl0_220
| ~ spl0_223 ),
inference(sat_conversion,[],[f15030]) ).
cnf(s1416,plain,
( spl0_12
| spl0_13
| spl0_22
| ~ spl0_131 ),
inference(sat_conversion,[],[f15058]) ).
cnf(s1418,plain,
( ~ spl0_26
| ~ spl0_73
| ~ spl0_220
| ~ spl0_223 ),
inference(sat_conversion,[],[f15100]) ).
cnf(s1419,plain,
( ~ spl0_73
| ~ spl0_78
| ~ spl0_223
| ~ spl0_266 ),
inference(sat_conversion,[],[f15102]) ).
cnf(s1423,plain,
( ~ spl0_3
| spl0_223
| ~ spl0_284 ),
inference(sat_conversion,[],[f15136]) ).
cnf(s1424,plain,
( ~ spl0_43
| ~ spl0_219
| ~ spl0_256
| ~ spl0_266 ),
inference(sat_conversion,[],[f15154]) ).
cnf(s1431,plain,
( ~ spl0_21
| ~ spl0_43
| ~ spl0_219
| ~ spl0_220 ),
inference(sat_conversion,[],[f15186]) ).
cnf(s1438,plain,
( spl0_2
| spl0_7
| spl0_21
| spl0_26 ),
inference(sat_conversion,[],[f15218]) ).
cnf(s1440,plain,
( ~ spl0_15
| ~ spl0_109
| ~ spl0_266
| spl0_279 ),
inference(sat_conversion,[],[f15221]) ).
cnf(s1452,plain,
( ~ spl0_37
| ~ spl0_288
| ~ spl0_295 ),
inference(sat_conversion,[],[f15306]) ).
cnf(s1459,plain,
( spl0_39
| ~ spl0_212 ),
inference(sat_conversion,[],[f15334]) ).
cnf(s1469,plain,
( ~ spl0_2
| ~ spl0_43
| ~ spl0_208
| ~ spl0_216 ),
inference(sat_conversion,[],[f15453]) ).
cnf(s1470,plain,
( spl0_146
| ~ spl0_147
| ~ spl0_200
| spl0_223 ),
inference(sat_conversion,[],[f15454]) ).
cnf(s1472,plain,
( ~ spl0_146
| ~ spl0_206
| ~ spl0_272 ),
inference(sat_conversion,[],[f15514]) ).
cnf(s1477,plain,
( ~ spl0_70
| spl0_124
| ~ spl0_197
| spl0_208 ),
inference(sat_conversion,[],[f15523]) ).
cnf(s1483,plain,
( ~ spl0_37
| ~ spl0_78
| ~ spl0_109 ),
inference(sat_conversion,[],[f15565]) ).
cnf(s1492,plain,
( ~ spl0_21
| ~ spl0_43
| ~ spl0_212
| ~ spl0_216 ),
inference(sat_conversion,[],[f15624]) ).
cnf(s1500,plain,
( ~ spl0_212
| spl0_230
| ~ spl0_316 ),
inference(sat_conversion,[],[f15777]) ).
cnf(s1505,plain,
( ~ spl0_202
| spl0_265
| spl0_339 ),
inference(sat_conversion,[],[f15904]) ).
cnf(s1513,plain,
~ spl0_341,
inference(sat_conversion,[],[f16092]) ).
cnf(s1525,plain,
( spl0_43
| ~ spl0_216 ),
inference(sat_conversion,[],[f16130]) ).
cnf(s1526,plain,
( ~ spl0_12
| ~ spl0_39
| ~ spl0_208
| ~ spl0_212 ),
inference(sat_conversion,[],[f16132]) ).
cnf(s1528,plain,
( ~ spl0_202
| spl0_265
| ~ spl0_297
| ~ spl0_343 ),
inference(sat_conversion,[],[f16138]) ).
cnf(s1529,plain,
( spl0_78
| ~ spl0_197
| spl0_270 ),
inference(sat_conversion,[],[f16139]) ).
cnf(s1530,plain,
( ~ spl0_202
| spl0_268
| ~ spl0_344
| ~ spl0_345 ),
inference(sat_conversion,[],[f16146]) ).
cnf(s1548,plain,
( ~ spl0_202
| spl0_279
| spl0_347 ),
inference(sat_conversion,[],[f16232]) ).
cnf(s1549,plain,
( spl0_12
| spl0_26
| ~ spl0_39
| spl0_53 ),
inference(sat_conversion,[],[f16233]) ).
cnf(s1554,plain,
( spl0_12
| spl0_21
| spl0_22
| ~ spl0_32 ),
inference(sat_conversion,[],[f16243]) ).
cnf(s1557,plain,
( spl0_43
| ~ spl0_219 ),
inference(sat_conversion,[],[f16260]) ).
cnf(s1565,plain,
( spl0_209
| ~ spl0_265
| ~ spl0_349 ),
inference(sat_conversion,[],[f16324]) ).
cnf(s1569,plain,
( spl0_343
| spl0_350 ),
inference(sat_conversion,[],[f16357]) ).
cnf(s1572,plain,
( spl0_233
| ~ spl0_349
| ~ spl0_350 ),
inference(sat_conversion,[],[f16368]) ).
cnf(s1581,plain,
( ~ spl0_200
| spl0_260
| spl0_269 ),
inference(sat_conversion,[],[f16457]) ).
cnf(s1587,plain,
( spl0_233
| spl0_301
| spl0_344 ),
inference(sat_conversion,[],[f16489]) ).
cnf(s1592,plain,
( spl0_2
| ~ spl0_43
| spl0_238
| spl0_239 ),
inference(sat_conversion,[],[f16530]) ).
cnf(s1593,plain,
( ~ spl0_43
| spl0_239
| spl0_241 ),
inference(sat_conversion,[],[f16531]) ).
cnf(s1600,plain,
( ~ spl0_206
| spl0_275
| spl0_279 ),
inference(sat_conversion,[],[f16622]) ).
cnf(s1607,plain,
( ~ spl0_3
| ~ spl0_74
| ~ spl0_157
| ~ spl0_253
| ~ spl0_270 ),
inference(sat_conversion,[],[f16665]) ).
cnf(s1621,plain,
( spl0_290
| spl0_295
| spl0_355 ),
inference(sat_conversion,[],[f16932]) ).
cnf(s1630,plain,
( ~ spl0_3
| ~ spl0_227
| ~ spl0_347
| spl0_350 ),
inference(sat_conversion,[],[f16983]) ).
cnf(s1631,plain,
( ~ spl0_68
| ~ spl0_262
| spl0_301
| ~ spl0_347 ),
inference(sat_conversion,[],[f16984]) ).
cnf(s1636,plain,
( spl0_345
| spl0_356 ),
inference(sat_conversion,[],[f17005]) ).
cnf(s1643,plain,
( ~ spl0_197
| ~ spl0_206
| ~ spl0_263
| spl0_358 ),
inference(sat_conversion,[],[f17154]) ).
cnf(s1644,plain,
( ~ spl0_68
| spl0_223
| ~ spl0_358 ),
inference(sat_conversion,[],[f17169]) ).
cnf(s1656,plain,
( spl0_22
| spl0_78
| ~ spl0_256
| ~ spl0_274 ),
inference(sat_conversion,[],[f17322]) ).
cnf(s1659,plain,
( ~ spl0_4
| ~ spl0_26
| spl0_37 ),
inference(sat_conversion,[],[f17446]) ).
cnf(s1660,plain,
( ~ spl0_5
| spl0_219
| ~ spl0_285 ),
inference(sat_conversion,[],[f17449]) ).
cnf(s1667,plain,
( ~ spl0_10
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f17534]) ).
cnf(s1668,plain,
( ~ spl0_10
| spl0_12
| ~ spl0_39
| spl0_51 ),
inference(sat_conversion,[],[f17535]) ).
cnf(s1672,plain,
( ~ spl0_70
| ~ spl0_224
| spl0_288
| ~ spl0_302 ),
inference(sat_conversion,[],[f17557]) ).
cnf(s1675,plain,
( ~ spl0_20
| ~ spl0_228
| spl0_295
| ~ spl0_339 ),
inference(sat_conversion,[],[f17560]) ).
cnf(s1681,plain,
( ~ spl0_2
| ~ spl0_43
| ~ spl0_130
| ~ spl0_223
| spl0_279 ),
inference(sat_conversion,[],[f17596]) ).
cnf(s1686,plain,
( ~ spl0_79
| ~ spl0_227
| ~ spl0_302
| spl0_350 ),
inference(sat_conversion,[],[f17601]) ).
cnf(s1690,plain,
( ~ spl0_2
| ~ spl0_73
| ~ spl0_157 ),
inference(sat_conversion,[],[f17630]) ).
cnf(s1691,plain,
( spl0_74
| spl0_256 ),
inference(sat_conversion,[],[f17631]) ).
cnf(s1694,plain,
( ~ spl0_19
| ~ spl0_74
| spl0_255
| ~ spl0_259 ),
inference(sat_conversion,[],[f17634]) ).
cnf(s1701,plain,
( spl0_7
| spl0_12
| spl0_13
| spl0_26 ),
inference(sat_conversion,[],[f17664]) ).
cnf(s1702,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_216
| ~ spl0_244 ),
inference(sat_conversion,[],[f17665]) ).
cnf(s1723,plain,
( ~ spl0_12
| ~ spl0_39
| ~ spl0_197
| ~ spl0_212
| ~ spl0_250
| ~ spl0_258 ),
inference(sat_conversion,[],[f17868]) ).
cnf(s1726,plain,
( ~ spl0_12
| ~ spl0_39
| ~ spl0_220
| ~ spl0_223 ),
inference(sat_conversion,[],[f17887]) ).
cnf(s1727,plain,
( ~ spl0_66
| ~ spl0_228
| spl0_295
| ~ spl0_302 ),
inference(sat_conversion,[],[f17888]) ).
cnf(s1729,plain,
( spl0_21
| spl0_22
| spl0_26
| ~ spl0_238 ),
inference(sat_conversion,[],[f17913]) ).
cnf(s1754,plain,
( ~ spl0_155
| ~ spl0_295
| ~ spl0_301 ),
inference(sat_conversion,[],[f18232]) ).
cnf(s1768,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_288
| ~ spl0_332 ),
inference(sat_conversion,[],[f18327]) ).
cnf(s1771,plain,
( ~ spl0_70
| ~ spl0_76
| ~ spl0_147
| ~ spl0_197
| spl0_253 ),
inference(sat_conversion,[],[f18342]) ).
cnf(s1789,plain,
( ~ spl0_19
| ~ spl0_227
| ~ spl0_296
| spl0_350 ),
inference(sat_conversion,[],[f18540]) ).
cnf(s1790,plain,
( ~ spl0_74
| ~ spl0_197
| spl0_216
| spl0_360 ),
inference(sat_conversion,[],[f18579]) ).
cnf(s1811,plain,
~ spl0_290,
inference(sat_conversion,[],[f18829]) ).
cnf(s1832,plain,
( spl0_114
| ~ spl0_245 ),
inference(sat_conversion,[],[f19316]) ).
cnf(s1870,plain,
~ spl0_328,
inference(sat_conversion,[],[f19601]) ).
cnf(s1880,plain,
( ~ spl0_15
| ~ spl0_199
| ~ spl0_260
| spl0_279 ),
inference(sat_conversion,[],[f19879]) ).
cnf(s1883,plain,
( ~ spl0_15
| ~ spl0_205
| spl0_244
| ~ spl0_276 ),
inference(sat_conversion,[],[f19883]) ).
cnf(s1885,plain,
( ~ spl0_20
| ~ spl0_65
| ~ spl0_257
| spl0_260 ),
inference(sat_conversion,[],[f19885]) ).
cnf(s1886,plain,
( spl0_78
| spl0_83
| spl0_198
| spl0_208
| spl0_244 ),
inference(sat_conversion,[],[f19888]) ).
cnf(s1887,plain,
( ~ spl0_20
| spl0_103
| ~ spl0_145 ),
inference(sat_conversion,[],[f19889]) ).
cnf(s1889,plain,
( spl0_73
| spl0_78
| ~ spl0_157
| ~ spl0_239
| spl0_349 ),
inference(sat_conversion,[],[f19891]) ).
cnf(s1890,plain,
( ~ spl0_5
| ~ spl0_68
| spl0_244
| ~ spl0_257 ),
inference(sat_conversion,[],[f19892]) ).
cnf(s1891,plain,
( ~ spl0_15
| ~ spl0_39
| ~ spl0_199
| ~ spl0_220
| spl0_244 ),
inference(sat_conversion,[],[f19893]) ).
cnf(s1892,plain,
( spl0_73
| spl0_78
| spl0_83
| spl0_244
| spl0_253 ),
inference(sat_conversion,[],[f19895]) ).
cnf(s1900,plain,
( spl0_22
| spl0_26
| spl0_71
| spl0_73
| spl0_78 ),
inference(sat_conversion,[],[f19903]) ).
cnf(s1913,plain,
( ~ spl0_64
| spl0_223
| ~ spl0_279 ),
inference(sat_conversion,[],[f19989]) ).
cnf(s1919,plain,
( ~ spl0_56
| spl0_235
| ~ spl0_350 ),
inference(sat_conversion,[],[f20091]) ).
cnf(s1924,plain,
( spl0_267
| ~ spl0_301
| ~ spl0_322 ),
inference(sat_conversion,[],[f20186]) ).
cnf(s1933,plain,
( ~ spl0_6
| spl0_103
| ~ spl0_151
| ~ spl0_197
| ~ spl0_207 ),
inference(sat_conversion,[],[f20278]) ).
cnf(s1935,plain,
( ~ spl0_20
| spl0_109
| ~ spl0_360 ),
inference(sat_conversion,[],[f20301]) ).
cnf(s1937,plain,
( ~ spl0_43
| spl0_208
| ~ spl0_216
| ~ spl0_239
| spl0_244
| spl0_366 ),
inference(sat_conversion,[],[f20349]) ).
cnf(s1940,plain,
( spl0_303
| spl0_307 ),
inference(sat_conversion,[],[f20359]) ).
cnf(s1941,plain,
( spl0_12
| spl0_26
| spl0_60 ),
inference(sat_conversion,[],[f20360]) ).
cnf(s1950,plain,
( ~ spl0_108
| ~ spl0_317
| ~ spl0_356 ),
inference(sat_conversion,[],[f20447]) ).
cnf(s1953,plain,
( ~ spl0_28
| spl0_71
| ~ spl0_148
| ~ spl0_197
| ~ spl0_207 ),
inference(sat_conversion,[],[f20490]) ).
cnf(s1954,plain,
( ~ spl0_15
| ~ spl0_39
| ~ spl0_71
| ~ spl0_78
| ~ spl0_301 ),
inference(sat_conversion,[],[f20492]) ).
cnf(s1961,plain,
( ~ spl0_12
| ~ spl0_39
| ~ spl0_71
| ~ spl0_73 ),
inference(sat_conversion,[],[f20545]) ).
cnf(s1972,plain,
( ~ spl0_265
| spl0_328
| ~ spl0_366 ),
inference(sat_conversion,[],[f20632]) ).
cnf(s1973,plain,
( ~ spl0_239
| ~ spl0_265
| ~ spl0_279 ),
inference(sat_conversion,[],[f20634]) ).
cnf(s1980,plain,
( ~ spl0_200
| spl0_244
| spl0_275 ),
inference(sat_conversion,[],[f20799]) ).
cnf(s1988,plain,
( ~ spl0_74
| spl0_219
| ~ spl0_358 ),
inference(sat_conversion,[],[f20937]) ).
cnf(s1994,plain,
( ~ spl0_200
| ~ spl0_227
| ~ spl0_257
| ~ spl0_263 ),
inference(sat_conversion,[],[f21036]) ).
cnf(s1995,plain,
( ~ spl0_200
| ~ spl0_228
| ~ spl0_259
| ~ spl0_263 ),
inference(sat_conversion,[],[f21055]) ).
cnf(s2006,plain,
( ~ spl0_31
| spl0_219
| spl0_233
| spl0_235
| spl0_276 ),
inference(sat_conversion,[],[f21379]) ).
cnf(s2007,plain,
( ~ spl0_31
| spl0_83
| spl0_103
| spl0_104
| spl0_109 ),
inference(sat_conversion,[],[f21381]) ).
cnf(s2023,plain,
( ~ spl0_15
| ~ spl0_78
| ~ spl0_198
| spl0_208
| spl0_244
| spl0_322 ),
inference(sat_conversion,[],[f21421]) ).
cnf(s2025,plain,
( spl0_7
| spl0_13
| ~ spl0_60 ),
inference(sat_conversion,[],[f21426]) ).
cnf(s2026,plain,
( ~ spl0_74
| spl0_268
| ~ spl0_271
| ~ spl0_281 ),
inference(sat_conversion,[],[f21427]) ).
cnf(s2043,plain,
( spl0_12
| spl0_13
| spl0_22
| spl0_26
| ~ spl0_241 ),
inference(sat_conversion,[],[f21498]) ).
cnf(s2044,plain,
( ~ spl0_60
| ~ spl0_73
| spl0_82
| spl0_83 ),
inference(sat_conversion,[],[f21507]) ).
cnf(s2050,plain,
( ~ spl0_60
| ~ spl0_71
| spl0_83
| spl0_108 ),
inference(sat_conversion,[],[f21543]) ).
cnf(s2066,plain,
( ~ spl0_2
| ~ spl0_232
| ~ spl0_255 ),
inference(sat_conversion,[],[f21739]) ).
cnf(s2068,plain,
( ~ spl0_2
| ~ spl0_26
| ~ spl0_71
| ~ spl0_73 ),
inference(sat_conversion,[],[f21741]) ).
cnf(s2080,plain,
( spl0_83
| ~ spl0_255
| ~ spl0_349 ),
inference(sat_conversion,[],[f21785]) ).
cnf(s2082,plain,
( ~ spl0_20
| ~ spl0_258
| ~ spl0_271
| spl0_276 ),
inference(sat_conversion,[],[f21787]) ).
cnf(s2083,plain,
( ~ spl0_66
| ~ spl0_258
| ~ spl0_264
| spl0_276 ),
inference(sat_conversion,[],[f21788]) ).
cnf(s2095,plain,
( ~ spl0_208
| ~ spl0_216
| ~ spl0_371 ),
inference(sat_conversion,[],[f21844]) ).
cnf(s2097,plain,
( ~ spl0_12
| ~ spl0_39
| ~ spl0_303
| ~ spl0_317 ),
inference(sat_conversion,[],[f21874]) ).
cnf(s2104,plain,
( ~ spl0_37
| ~ spl0_276
| ~ spl0_279 ),
inference(sat_conversion,[],[f21956]) ).
cnf(s2119,plain,
( spl0_2
| spl0_7
| ~ spl0_157
| spl0_244
| ~ spl0_253 ),
inference(sat_conversion,[],[f22069]) ).
cnf(s2128,plain,
( ~ spl0_21
| ~ spl0_108
| ~ spl0_256 ),
inference(sat_conversion,[],[f22128]) ).
cnf(s2138,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_208
| ~ spl0_216 ),
inference(sat_conversion,[],[f22194]) ).
cnf(s2148,plain,
( ~ spl0_108
| ~ spl0_220
| ~ spl0_266 ),
inference(sat_conversion,[],[f22295]) ).
cnf(s2151,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_219
| ~ spl0_223 ),
inference(sat_conversion,[],[f22320]) ).
cnf(s2162,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_303
| ~ spl0_332 ),
inference(sat_conversion,[],[f22428]) ).
cnf(s2164,plain,
( ~ spl0_39
| ~ spl0_199
| ~ spl0_220
| ~ spl0_260 ),
inference(sat_conversion,[],[f22455]) ).
cnf(s2165,plain,
( ~ spl0_39
| ~ spl0_71
| ~ spl0_253
| ~ spl0_260 ),
inference(sat_conversion,[],[f22457]) ).
cnf(s2185,plain,
( ~ spl0_157
| ~ spl0_301
| ~ spl0_350 ),
inference(sat_conversion,[],[f22566]) ).
cnf(s2187,plain,
( spl0_2
| spl0_7
| ~ spl0_12
| ~ spl0_73
| ~ spl0_157
| ~ spl0_301 ),
inference(sat_conversion,[],[f22576]) ).
cnf(s2190,plain,
( ~ spl0_12
| ~ spl0_73
| ~ spl0_268
| ~ spl0_279 ),
inference(sat_conversion,[],[f22601]) ).
cnf(s2191,plain,
( ~ spl0_70
| ~ spl0_207
| ~ spl0_264
| spl0_279 ),
inference(sat_conversion,[],[f22602]) ).
cnf(s2194,plain,
( spl0_7
| spl0_219
| spl0_223
| spl0_279 ),
inference(sat_conversion,[],[f22608]) ).
cnf(s2208,plain,
( ~ spl0_157
| ~ spl0_204
| ~ spl0_301
| spl0_339 ),
inference(sat_conversion,[],[f22791]) ).
cnf(s2212,plain,
( ~ spl0_204
| spl0_223
| ~ spl0_307
| spl0_308 ),
inference(sat_conversion,[],[f22796]) ).
cnf(s2213,plain,
( ~ spl0_37
| ~ spl0_204
| ~ spl0_224
| ~ spl0_272
| ~ spl0_295 ),
inference(sat_conversion,[],[f22798]) ).
cnf(s2223,plain,
( ~ spl0_199
| ~ spl0_253
| ~ spl0_256
| ~ spl0_266 ),
inference(sat_conversion,[],[f22873]) ).
cnf(s2224,plain,
( ~ spl0_203
| ~ spl0_256
| ~ spl0_266
| ~ spl0_301 ),
inference(sat_conversion,[],[f22875]) ).
cnf(s2227,plain,
( ~ spl0_12
| ~ spl0_208
| ~ spl0_253
| ~ spl0_260 ),
inference(sat_conversion,[],[f22923]) ).
cnf(s2231,plain,
( ~ spl0_37
| ~ spl0_195
| spl0_233
| ~ spl0_295 ),
inference(sat_conversion,[],[f22943]) ).
cnf(s2238,plain,
( ~ spl0_12
| spl0_78
| ~ spl0_205
| ~ spl0_208
| spl0_209
| ~ spl0_253 ),
inference(sat_conversion,[],[f22998]) ).
cnf(s2247,plain,
( ~ spl0_37
| spl0_83
| ~ spl0_195
| ~ spl0_260 ),
inference(sat_conversion,[],[f23039]) ).
cnf(s2250,plain,
( ~ spl0_7
| ~ spl0_103
| ~ spl0_382 ),
inference(sat_conversion,[],[f23051]) ).
cnf(s2259,plain,
( ~ spl0_199
| spl0_230
| ~ spl0_238
| spl0_244
| spl0_383 ),
inference(sat_conversion,[],[f23156]) ).
cnf(s2261,plain,
( ~ spl0_12
| ~ spl0_205
| ~ spl0_208
| spl0_235
| ~ spl0_238
| ~ spl0_383 ),
inference(sat_conversion,[],[f23177]) ).
cnf(s2264,plain,
( ~ spl0_12
| ~ spl0_39
| ~ spl0_236
| spl0_279
| spl0_384 ),
inference(sat_conversion,[],[f23185]) ).
cnf(s2267,plain,
( ~ spl0_151
| ~ spl0_197
| ~ spl0_217
| spl0_256 ),
inference(sat_conversion,[],[f23188]) ).
cnf(s2270,plain,
( ~ spl0_26
| ~ spl0_71
| ~ spl0_382 ),
inference(sat_conversion,[],[f23220]) ).
cnf(s2280,plain,
( spl0_26
| spl0_235
| spl0_288
| spl0_303
| spl0_317 ),
inference(sat_conversion,[],[f23269]) ).
cnf(s2293,plain,
( ~ spl0_71
| ~ spl0_236
| ~ spl0_268 ),
inference(sat_conversion,[],[f23396]) ).
cnf(s2294,plain,
( ~ spl0_21
| ~ spl0_236
| ~ spl0_265 ),
inference(sat_conversion,[],[f23397]) ).
cnf(s2296,plain,
( spl0_7
| spl0_73
| spl0_78
| spl0_103 ),
inference(sat_conversion,[],[f23401]) ).
cnf(s2312,plain,
( spl0_2
| spl0_7
| spl0_78
| ~ spl0_198
| ~ spl0_383 ),
inference(sat_conversion,[],[f23538]) ).
cnf(s2319,plain,
( ~ spl0_109
| spl0_155 ),
inference(sat_conversion,[],[f23646]) ).
cnf(s2328,plain,
( ~ spl0_43
| ~ spl0_216
| spl0_383 ),
inference(sat_conversion,[],[f23690]) ).
cnf(s2336,plain,
( ~ spl0_12
| ~ spl0_39
| ~ spl0_236
| spl0_279
| spl0_384 ),
inference(sat_conversion,[],[f23751]) ).
cnf(s2340,plain,
( spl0_2
| spl0_7
| ~ spl0_157
| ~ spl0_268
| spl0_279 ),
inference(sat_conversion,[],[f23760]) ).
cnf(s2345,plain,
( ~ spl0_26
| ~ spl0_236
| ~ spl0_279 ),
inference(sat_conversion,[],[f23803]) ).
cnf(s2369,plain,
( ~ spl0_198
| ~ spl0_205
| ~ spl0_268 ),
inference(sat_conversion,[],[f23982]) ).
cnf(s2375,plain,
( ~ spl0_131
| spl0_208
| spl0_216
| spl0_230 ),
inference(sat_conversion,[],[f24103]) ).
cnf(s2376,plain,
( ~ spl0_103
| ~ spl0_131
| ~ spl0_198
| spl0_208
| spl0_230 ),
inference(sat_conversion,[],[f24105]) ).
cnf(s2381,plain,
( ~ spl0_205
| ~ spl0_279
| spl0_387 ),
inference(sat_conversion,[],[f24192]) ).
cnf(s2382,plain,
( ~ spl0_7
| ~ spl0_219
| ~ spl0_387 ),
inference(sat_conversion,[],[f24203]) ).
cnf(s2383,plain,
( ~ spl0_203
| ~ spl0_288
| ~ spl0_387 ),
inference(sat_conversion,[],[f24205]) ).
cnf(s2386,plain,
( spl0_157
| ~ spl0_198
| ~ spl0_256 ),
inference(sat_conversion,[],[f24209]) ).
cnf(s2392,plain,
( ~ spl0_26
| ~ spl0_220
| ~ spl0_387 ),
inference(sat_conversion,[],[f24255]) ).
cnf(s2395,plain,
( ~ spl0_12
| ~ spl0_39
| ~ spl0_71
| spl0_78
| ~ spl0_198
| ~ spl0_205
| spl0_209
| spl0_279 ),
inference(sat_conversion,[],[f24263]) ).
cnf(s2396,plain,
( spl0_73
| spl0_78
| ~ spl0_198
| ~ spl0_205
| spl0_209
| spl0_279 ),
inference(sat_conversion,[],[f24264]) ).
cnf(s2401,plain,
( spl0_20
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f24287]) ).
cnf(s2403,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_21
| ~ spl0_39 ),
inference(sat_conversion,[],[f24295]) ).
cnf(s2412,plain,
( ~ spl0_71
| ~ spl0_198
| ~ spl0_212 ),
inference(sat_conversion,[],[f24361]) ).
cnf(s2416,plain,
( spl0_12
| spl0_15
| spl0_26 ),
inference(sat_conversion,[],[f24368]) ).
cnf(s2418,plain,
( spl0_12
| spl0_26
| spl0_104
| spl0_244
| spl0_260 ),
inference(sat_conversion,[],[f24369]) ).
cnf(s2421,plain,
( spl0_79
| spl0_103
| spl0_104 ),
inference(sat_conversion,[],[f24390]) ).
cnf(s2428,plain,
( ~ spl0_103
| ~ spl0_198
| ~ spl0_216 ),
inference(sat_conversion,[],[f24421]) ).
cnf(s2434,plain,
( spl0_297
| spl0_329
| spl0_332 ),
inference(sat_conversion,[],[f24461]) ).
cnf(s2449,plain,
( ~ spl0_2
| ~ spl0_208
| spl0_386 ),
inference(sat_conversion,[],[f24528]) ).
cnf(s2452,plain,
( spl0_73
| spl0_78
| spl0_103
| spl0_104
| ~ spl0_241 ),
inference(sat_conversion,[],[f24564]) ).
cnf(s2454,plain,
( ~ spl0_2
| ~ spl0_223
| spl0_387 ),
inference(sat_conversion,[],[f24573]) ).
cnf(s2467,plain,
( ~ spl0_68
| ~ spl0_197
| spl0_244
| spl0_381 ),
inference(sat_conversion,[],[f24665]) ).
cnf(s2470,plain,
( ~ spl0_79
| spl0_125
| ~ spl0_197
| spl0_216 ),
inference(sat_conversion,[],[f24666]) ).
cnf(s2473,plain,
( spl0_109
| ~ spl0_197
| spl0_259 ),
inference(sat_conversion,[],[f24674]) ).
cnf(s2474,plain,
( spl0_109
| ~ spl0_148
| ~ spl0_197
| ~ spl0_258 ),
inference(sat_conversion,[],[f24675]) ).
cnf(s2481,plain,
( spl0_262
| spl0_267
| spl0_268 ),
inference(sat_conversion,[],[f24723]) ).
cnf(s2487,plain,
( ~ spl0_197
| spl0_244
| ~ spl0_249 ),
inference(sat_conversion,[],[f24772]) ).
cnf(s2520,plain,
( ~ spl0_206
| spl0_264
| spl0_268 ),
inference(sat_conversion,[],[f25161]) ).
cnf(s2531,plain,
( ~ spl0_204
| spl0_295
| spl0_296 ),
inference(sat_conversion,[],[f25253]) ).
cnf(s2538,plain,
( ~ spl0_37
| ~ spl0_195
| spl0_209
| ~ spl0_276 ),
inference(sat_conversion,[],[f25328]) ).
cnf(s2558,plain,
( ~ spl0_65
| ~ spl0_262
| ~ spl0_296
| spl0_301 ),
inference(sat_conversion,[],[f25617]) ).
cnf(s2560,plain,
( ~ spl0_71
| ~ spl0_107
| ~ spl0_236
| ~ spl0_239
| ~ spl0_265
| spl0_267 ),
inference(sat_conversion,[],[f25736]) ).
cnf(s2561,plain,
( ~ spl0_148
| ~ spl0_206
| ~ spl0_258
| spl0_276 ),
inference(sat_conversion,[],[f25737]) ).
cnf(s2562,plain,
( ~ spl0_148
| ~ spl0_206
| spl0_276
| spl0_391 ),
inference(sat_conversion,[],[f25741]) ).
cnf(s2563,plain,
( ~ spl0_197
| ~ spl0_206
| spl0_268
| ~ spl0_281 ),
inference(sat_conversion,[],[f25742]) ).
cnf(s2565,plain,
( ~ spl0_29
| ~ spl0_148
| ~ spl0_206
| ~ spl0_217
| spl0_220 ),
inference(sat_conversion,[],[f25745]) ).
cnf(s2566,plain,
( ~ spl0_65
| spl0_268
| ~ spl0_269
| ~ spl0_281 ),
inference(sat_conversion,[],[f25746]) ).
cnf(s2567,plain,
( ~ spl0_68
| spl0_268
| ~ spl0_275
| ~ spl0_281 ),
inference(sat_conversion,[],[f25747]) ).
cnf(s2569,plain,
( ~ spl0_206
| spl0_216
| ~ spl0_225
| spl0_284 ),
inference(sat_conversion,[],[f25752]) ).
cnf(s2577,plain,
( ~ spl0_26
| ~ spl0_212
| ~ spl0_386 ),
inference(sat_conversion,[],[f25783]) ).
cnf(s2583,plain,
( ~ spl0_260
| spl0_328
| ~ spl0_336 ),
inference(sat_conversion,[],[f25816]) ).
cnf(s2594,plain,
( ~ spl0_26
| ~ spl0_39
| ~ spl0_244
| ~ spl0_260 ),
inference(sat_conversion,[],[f25941]) ).
cnf(s2596,plain,
( ~ spl0_19
| ~ spl0_217
| spl0_265
| ~ spl0_269 ),
inference(sat_conversion,[],[f25944]) ).
cnf(s2598,plain,
( ~ spl0_200
| ~ spl0_226
| ~ spl0_228
| spl0_260 ),
inference(sat_conversion,[],[f25949]) ).
cnf(s2599,plain,
( ~ spl0_203
| ~ spl0_288
| spl0_393 ),
inference(sat_conversion,[],[f25950]) ).
cnf(s2600,plain,
( ~ spl0_3
| ~ spl0_217
| spl0_265
| ~ spl0_275 ),
inference(sat_conversion,[],[f25951]) ).
cnf(s2601,plain,
( spl0_7
| ~ spl0_249
| spl0_256 ),
inference(sat_conversion,[],[f25952]) ).
cnf(s2602,plain,
( ~ spl0_151
| ~ spl0_206
| ~ spl0_217
| spl0_265 ),
inference(sat_conversion,[],[f25953]) ).
cnf(s2603,plain,
( ~ spl0_151
| ~ spl0_206
| spl0_265
| spl0_394 ),
inference(sat_conversion,[],[f25957]) ).
cnf(s2604,plain,
( ~ spl0_206
| spl0_265
| spl0_271 ),
inference(sat_conversion,[],[f25958]) ).
cnf(s2606,plain,
( ~ spl0_79
| ~ spl0_217
| ~ spl0_264
| spl0_265 ),
inference(sat_conversion,[],[f25963]) ).
cnf(s2607,plain,
( spl0_2
| ~ spl0_19
| ~ spl0_250
| spl0_256 ),
inference(sat_conversion,[],[f25964]) ).
cnf(s2608,plain,
( ~ spl0_200
| spl0_253
| ~ spl0_262
| ~ spl0_263 ),
inference(sat_conversion,[],[f25965]) ).
cnf(s2609,plain,
( ~ spl0_107
| ~ spl0_201
| spl0_267
| spl0_279
| spl0_390 ),
inference(sat_conversion,[],[f25967]) ).
cnf(s2611,plain,
( spl0_7
| ~ spl0_43
| spl0_104
| ~ spl0_107
| spl0_157 ),
inference(sat_conversion,[],[f25969]) ).
cnf(s2625,plain,
( ~ spl0_157
| ~ spl0_253
| ~ spl0_255 ),
inference(sat_conversion,[],[f26119]) ).
cnf(s2630,plain,
( ~ spl0_206
| ~ spl0_217
| ~ spl0_394 ),
inference(sat_conversion,[],[f26169]) ).
cnf(s2639,plain,
( ~ spl0_17
| ~ spl0_207
| ~ spl0_269
| spl0_279 ),
inference(sat_conversion,[],[f26221]) ).
cnf(s2648,plain,
( spl0_217
| spl0_230
| spl0_255 ),
inference(sat_conversion,[],[f26267]) ).
cnf(s2654,plain,
( spl0_104
| spl0_258
| spl0_260 ),
inference(sat_conversion,[],[f26290]) ).
cnf(s2670,plain,
( ~ spl0_43
| ~ spl0_199
| ~ spl0_219
| ~ spl0_255 ),
inference(sat_conversion,[],[f26395]) ).
cnf(s2674,plain,
( ~ spl0_201
| spl0_235
| ~ spl0_238
| spl0_279
| spl0_396 ),
inference(sat_conversion,[],[f26408]) ).
cnf(s2678,plain,
( ~ spl0_201
| ~ spl0_279
| spl0_387 ),
inference(sat_conversion,[],[f26424]) ).
cnf(s2679,plain,
( ~ spl0_43
| ~ spl0_332
| spl0_399 ),
inference(sat_conversion,[],[f26441]) ).
cnf(s2681,plain,
( ~ spl0_200
| spl0_253
| spl0_264 ),
inference(sat_conversion,[],[f26487]) ).
cnf(s2682,plain,
( ~ spl0_200
| ~ spl0_224
| spl0_244
| ~ spl0_272 ),
inference(sat_conversion,[],[f26489]) ).
cnf(s2683,plain,
( ~ spl0_200
| spl0_223
| ~ spl0_224
| spl0_244 ),
inference(sat_conversion,[],[f26490]) ).
cnf(s2689,plain,
( ~ spl0_255
| ~ spl0_354
| ~ spl0_399 ),
inference(sat_conversion,[],[f26555]) ).
cnf(s2698,plain,
( ~ spl0_202
| ~ spl0_225
| spl0_284
| spl0_332 ),
inference(sat_conversion,[],[f26646]) ).
cnf(s2699,plain,
( ~ spl0_43
| ~ spl0_219
| spl0_396 ),
inference(sat_conversion,[],[f26655]) ).
cnf(s2702,plain,
( ~ spl0_202
| ~ spl0_272
| ~ spl0_308 ),
inference(sat_conversion,[],[f26685]) ).
cnf(s2712,plain,
( ~ spl0_204
| spl0_301
| spl0_302 ),
inference(sat_conversion,[],[f26787]) ).
cnf(s2718,plain,
( ~ spl0_78
| ~ spl0_266
| spl0_390 ),
inference(sat_conversion,[],[f26834]) ).
cnf(s2719,plain,
( ~ spl0_78
| spl0_382 ),
inference(sat_conversion,[],[f26836]) ).
cnf(s2727,plain,
( ~ spl0_204
| ~ spl0_225
| ~ spl0_227
| spl0_350 ),
inference(sat_conversion,[],[f26847]) ).
cnf(s2728,plain,
( ~ spl0_256
| ~ spl0_266
| ~ spl0_396 ),
inference(sat_conversion,[],[f26849]) ).
cnf(s2731,plain,
( ~ spl0_21
| ~ spl0_39
| spl0_230
| ~ spl0_238
| spl0_244
| ~ spl0_260 ),
inference(sat_conversion,[],[f26854]) ).
cnf(s2732,plain,
( ~ spl0_21
| ~ spl0_37
| ~ spl0_39
| ~ spl0_238
| ~ spl0_295
| spl0_329 ),
inference(sat_conversion,[],[f26855]) ).
cnf(s2733,plain,
( spl0_26
| spl0_104
| spl0_208
| spl0_212
| spl0_244 ),
inference(sat_conversion,[],[f26856]) ).
cnf(s2734,plain,
( ~ spl0_206
| spl0_208
| ~ spl0_272
| spl0_285 ),
inference(sat_conversion,[],[f26857]) ).
cnf(s2738,plain,
( ~ spl0_147
| ~ spl0_206
| spl0_279
| spl0_404 ),
inference(sat_conversion,[],[f26864]) ).
cnf(s2741,plain,
( ~ spl0_65
| spl0_268
| ~ spl0_391 ),
inference(sat_conversion,[],[f26868]) ).
cnf(s2742,plain,
( ~ spl0_16
| ~ spl0_258
| ~ spl0_275
| spl0_276 ),
inference(sat_conversion,[],[f26869]) ).
cnf(s2743,plain,
( spl0_208
| spl0_244
| ~ spl0_383
| spl0_405 ),
inference(sat_conversion,[],[f26873]) ).
cnf(s2744,plain,
( ~ spl0_206
| spl0_208
| spl0_244
| spl0_279 ),
inference(sat_conversion,[],[f26874]) ).
cnf(s2745,plain,
( ~ spl0_206
| spl0_269
| spl0_276 ),
inference(sat_conversion,[],[f26875]) ).
cnf(s2755,plain,
( ~ spl0_78
| ~ spl0_198
| ~ spl0_386 ),
inference(sat_conversion,[],[f26961]) ).
cnf(s2757,plain,
( ~ spl0_244
| ~ spl0_253
| ~ spl0_382 ),
inference(sat_conversion,[],[f26972]) ).
cnf(s2761,plain,
( ~ spl0_12
| ~ spl0_39
| ~ spl0_71
| spl0_78
| spl0_107 ),
inference(sat_conversion,[],[f26995]) ).
cnf(s2768,plain,
( spl0_151
| spl0_216
| spl0_230 ),
inference(sat_conversion,[],[f27020]) ).
cnf(s2774,plain,
( ~ spl0_197
| spl0_256
| spl0_257 ),
inference(sat_conversion,[],[f27103]) ).
cnf(s2783,plain,
( spl0_263
| spl0_266
| spl0_267 ),
inference(sat_conversion,[],[f27143]) ).
cnf(s2790,plain,
( ~ spl0_68
| spl0_268
| ~ spl0_404 ),
inference(sat_conversion,[],[f27216]) ).
cnf(s2792,plain,
( ~ spl0_2
| ~ spl0_303
| ~ spl0_399 ),
inference(sat_conversion,[],[f27237]) ).
cnf(s2809,plain,
( spl0_267
| spl0_353
| spl0_354 ),
inference(sat_conversion,[],[f27476]) ).
cnf(s2817,plain,
( ~ spl0_202
| spl0_276
| ~ spl0_294
| ~ spl0_355 ),
inference(sat_conversion,[],[f27555]) ).
cnf(s2821,plain,
( ~ spl0_202
| spl0_276
| spl0_296 ),
inference(sat_conversion,[],[f27559]) ).
cnf(s2822,plain,
( ~ spl0_202
| ~ spl0_239
| ~ spl0_265
| spl0_288
| spl0_303 ),
inference(sat_conversion,[],[f27560]) ).
cnf(s2823,plain,
( spl0_73
| spl0_78
| spl0_107 ),
inference(sat_conversion,[],[f27561]) ).
cnf(s2847,plain,
( ~ spl0_2
| spl0_107
| ~ spl0_109
| spl0_382 ),
inference(sat_conversion,[],[f27783]) ).
cnf(s2855,plain,
( ~ spl0_202
| spl0_268
| spl0_302 ),
inference(sat_conversion,[],[f27893]) ).
cnf(s2863,plain,
( ~ spl0_200
| spl0_255
| spl0_271 ),
inference(sat_conversion,[],[f28041]) ).
cnf(s2873,plain,
( ~ spl0_195
| spl0_209
| ~ spl0_239
| ~ spl0_265
| ~ spl0_276 ),
inference(sat_conversion,[],[f28401]) ).
cnf(s2876,plain,
( ~ spl0_103
| ~ spl0_219
| ~ spl0_390 ),
inference(sat_conversion,[],[f28410]) ).
cnf(s2881,plain,
( ~ spl0_201
| spl0_223
| ~ spl0_276
| spl0_279
| spl0_314 ),
inference(sat_conversion,[],[f28417]) ).
cnf(s2882,plain,
( spl0_7
| spl0_12
| ~ spl0_31 ),
inference(sat_conversion,[],[f28418]) ).
cnf(s2898,plain,
( ~ spl0_202
| ~ spl0_264
| ~ spl0_344
| ~ spl0_353 ),
inference(sat_conversion,[],[f28620]) ).
cnf(s2903,plain,
( ~ spl0_12
| ~ spl0_208
| spl0_386 ),
inference(sat_conversion,[],[f28655]) ).
cnf(s2904,plain,
( ~ spl0_244
| ~ spl0_253
| spl0_386 ),
inference(sat_conversion,[],[f28656]) ).
cnf(s2910,plain,
( spl0_2
| spl0_7
| ~ spl0_203
| spl0_288
| ~ spl0_396 ),
inference(sat_conversion,[],[f28667]) ).
cnf(s2913,plain,
( ~ spl0_73
| spl0_382 ),
inference(sat_conversion,[],[f28702]) ).
cnf(s2924,plain,
( ~ spl0_73
| ~ spl0_198
| ~ spl0_208 ),
inference(sat_conversion,[],[f28816]) ).
cnf(s2926,plain,
( spl0_22
| spl0_65
| spl0_109 ),
inference(sat_conversion,[],[f28858]) ).
cnf(s2940,plain,
( spl0_290
| spl0_294
| spl0_317 ),
inference(sat_conversion,[],[f28970]) ).
cnf(s2942,plain,
( ~ spl0_26
| ~ spl0_317
| ~ spl0_393 ),
inference(sat_conversion,[],[f28978]) ).
cnf(s2943,plain,
( ~ spl0_66
| spl0_145
| ~ spl0_197
| spl0_212 ),
inference(sat_conversion,[],[f28980]) ).
cnf(s2960,plain,
( ~ spl0_199
| ~ spl0_205
| spl0_223
| spl0_316
| ~ spl0_386 ),
inference(sat_conversion,[],[f29204]) ).
cnf(s2971,plain,
( ~ spl0_10
| spl0_219
| spl0_223 ),
inference(sat_conversion,[],[f29411]) ).
cnf(s2978,plain,
( ~ spl0_24
| spl0_223
| spl0_233
| spl0_276 ),
inference(sat_conversion,[],[f29462]) ).
cnf(s2979,plain,
( ~ spl0_35
| spl0_220
| spl0_233
| spl0_235
| spl0_265 ),
inference(sat_conversion,[],[f29505]) ).
cnf(s2982,plain,
( ~ spl0_35
| ~ spl0_199
| spl0_209
| spl0_212
| spl0_230
| ~ spl0_396 ),
inference(sat_conversion,[],[f29510]) ).
cnf(s2983,plain,
( ~ spl0_35
| ~ spl0_71
| spl0_233
| spl0_235
| spl0_265
| ~ spl0_390 ),
inference(sat_conversion,[],[f29511]) ).
cnf(s2985,plain,
( ~ spl0_26
| ~ spl0_35
| ~ spl0_199
| spl0_209
| spl0_230
| ~ spl0_386
| ~ spl0_396 ),
inference(sat_conversion,[],[f29515]) ).
cnf(s2991,plain,
( ~ spl0_203
| ~ spl0_266
| spl0_303
| spl0_341
| ~ spl0_381 ),
inference(sat_conversion,[],[f29635]) ).
cnf(s2994,plain,
( spl0_223
| spl0_266
| spl0_267
| ~ spl0_381 ),
inference(sat_conversion,[],[f29650]) ).
cnf(s2996,plain,
( ~ spl0_107
| ~ spl0_266
| spl0_267
| spl0_409 ),
inference(sat_conversion,[],[f29699]) ).
cnf(s2997,plain,
( ~ spl0_107
| ~ spl0_208
| spl0_232
| spl0_328 ),
inference(sat_conversion,[],[f29700]) ).
cnf(s2998,plain,
( ~ spl0_107
| ~ spl0_199
| spl0_237
| spl0_267 ),
inference(sat_conversion,[],[f29701]) ).
cnf(s2999,plain,
( ~ spl0_2
| spl0_104
| ~ spl0_107
| spl0_371 ),
inference(sat_conversion,[],[f29702]) ).
cnf(s3001,plain,
( ~ spl0_107
| ~ spl0_205
| spl0_237
| spl0_328 ),
inference(sat_conversion,[],[f29704]) ).
cnf(s3009,plain,
( ~ spl0_23
| spl0_303
| spl0_317 ),
inference(sat_conversion,[],[f29838]) ).
cnf(s3010,plain,
( ~ spl0_23
| spl0_220
| spl0_223 ),
inference(sat_conversion,[],[f29842]) ).
cnf(s3012,plain,
( ~ spl0_23
| ~ spl0_26
| spl0_303
| ~ spl0_393 ),
inference(sat_conversion,[],[f29845]) ).
cnf(s3018,plain,
( ~ spl0_71
| spl0_78
| spl0_209
| ~ spl0_384 ),
inference(sat_conversion,[],[f29956]) ).
cnf(s3023,plain,
( ~ spl0_37
| ~ spl0_314
| spl0_336 ),
inference(sat_conversion,[],[f29999]) ).
cnf(s3024,plain,
( ~ spl0_30
| spl0_212
| spl0_216 ),
inference(sat_conversion,[],[f30032]) ).
cnf(s3025,plain,
( ~ spl0_30
| spl0_219
| spl0_220 ),
inference(sat_conversion,[],[f30037]) ).
cnf(s3026,plain,
( ~ spl0_30
| spl0_317
| spl0_332 ),
inference(sat_conversion,[],[f30039]) ).
cnf(s3027,plain,
( ~ spl0_26
| ~ spl0_30
| spl0_216
| ~ spl0_386 ),
inference(sat_conversion,[],[f30042]) ).
cnf(s3030,plain,
( ~ spl0_30
| ~ spl0_71
| spl0_219
| ~ spl0_390 ),
inference(sat_conversion,[],[f30046]) ).
cnf(s3032,plain,
( ~ spl0_199
| ~ spl0_244
| spl0_386 ),
inference(sat_conversion,[],[f30049]) ).
cnf(s3038,plain,
( ~ spl0_198
| ~ spl0_205
| ~ spl0_409 ),
inference(sat_conversion,[],[f30062]) ).
cnf(s3042,plain,
( spl0_73
| spl0_78
| ~ spl0_155
| spl0_195 ),
inference(sat_conversion,[],[f30069]) ).
cnf(s3053,plain,
( ~ spl0_199
| ~ spl0_203
| spl0_208
| spl0_244
| spl0_267
| spl0_288 ),
inference(sat_conversion,[],[f30085]) ).
cnf(s3056,plain,
( ~ spl0_239
| spl0_366
| ~ spl0_405 ),
inference(sat_conversion,[],[f30090]) ).
cnf(s3058,plain,
( spl0_73
| spl0_78
| spl0_83
| ~ spl0_199
| spl0_244
| ~ spl0_390 ),
inference(sat_conversion,[],[f30092]) ).
cnf(s3068,plain,
( spl0_227
| spl0_235
| spl0_265 ),
inference(sat_conversion,[],[f30176]) ).
cnf(s3074,plain,
( ~ spl0_205
| ~ spl0_265
| spl0_396 ),
inference(sat_conversion,[],[f30203]) ).
cnf(s3087,plain,
( ~ spl0_3
| ~ spl0_74
| spl0_255
| ~ spl0_270 ),
inference(sat_conversion,[],[f30304]) ).
cnf(s3088,plain,
( ~ spl0_3
| spl0_12
| ~ spl0_31 ),
inference(sat_conversion,[],[f30306]) ).
cnf(s3089,plain,
( ~ spl0_203
| ~ spl0_223
| ~ spl0_303 ),
inference(sat_conversion,[],[f30307]) ).
cnf(s3092,plain,
( spl0_78
| spl0_209
| spl0_223
| spl0_266
| spl0_279 ),
inference(sat_conversion,[],[f30310]) ).
cnf(s3095,plain,
( spl0_2
| spl0_7
| spl0_238 ),
inference(sat_conversion,[],[f30318]) ).
cnf(s3098,plain,
( spl0_74
| spl0_104
| spl0_256 ),
inference(sat_conversion,[],[f30345]) ).
cnf(s3106,plain,
( spl0_148
| spl0_209
| spl0_212 ),
inference(sat_conversion,[],[f30393]) ).
cnf(s3108,plain,
( ~ spl0_12
| ~ spl0_223
| spl0_387 ),
inference(sat_conversion,[],[f30407]) ).
cnf(s3109,plain,
( ~ spl0_199
| ~ spl0_216
| ~ spl0_219 ),
inference(sat_conversion,[],[f30421]) ).
cnf(s3117,plain,
( spl0_295
| spl0_355 ),
inference(rat,[],[s1621,s1811]) ).
cnf(s3142,plain,
( ~ spl0_60
| ~ spl0_199
| spl0_237 ),
inference(rat,[],[s749,s845]) ).
cnf(s3143,plain,
( ~ spl0_60
| ~ spl0_220
| spl0_236 ),
inference(rat,[],[s743,s845]) ).
cnf(s3144,plain,
( spl0_220
| spl0_226 ),
inference(rat,[],[s740,s845]) ).
cnf(s3147,plain,
( spl0_219
| spl0_225 ),
inference(rat,[],[s732,s1024]) ).
cnf(s3152,plain,
( ~ spl0_82
| ~ spl0_108
| ~ spl0_126
| ~ spl0_198 ),
inference(rat,[],[s650,s677]) ).
cnf(s3203,plain,
( ~ spl0_15
| ~ spl0_24
| spl0_73
| ~ spl0_80
| spl0_114 ),
inference(rat,[],[s236,s288]) ).
cnf(s3241,plain,
( ~ spl0_9
| spl0_13
| spl0_26 ),
inference(rat,[],[s61,s288]) ).
cnf(s3242,plain,
( spl0_13
| spl0_19 ),
inference(rat,[],[s15,s288]) ).
cnf(s3245,plain,
( ~ spl0_202
| spl0_223
| spl0_339
| ~ spl0_355
| spl0_276
| ~ spl0_26
| ~ spl0_12
| ~ spl0_239 ),
inference(rat,[],[s645,s2599,s2212,s2822,s1940,s2097,s2942,s2940,s2817,s2702,s1505,s46,s1067,s141,s1811]) ).
cnf(s3246,plain,
( ~ spl0_199
| ~ spl0_390
| ~ spl0_396
| spl0_73
| spl0_78
| ~ spl0_35
| ~ spl0_26 ),
inference(rat,[],[s3032,s3058,s2985,s141,s677,s810]) ).
cnf(s3247,plain,
( ~ spl0_109
| ~ spl0_31
| ~ spl0_35
| ~ spl0_26
| ~ spl0_12
| ~ spl0_7
| ~ spl0_239 ),
inference(rat,[],[s2598,s3144,s643,s2148,s3246,s3092,s2609,s2678,s644,s3245,s2151,s2382,s2699,s1675,s3117,s2006,s998,s2247,s2231,s2538,s2823,s3042,s770,s623,s1483,s2319,s54,s860,s46,s2401,s919,s141,s677,s1091,s845,s1024,s288]) ).
cnf(s3248,plain,
( ~ spl0_198
| ~ spl0_409
| ~ spl0_217
| spl0_265
| ~ spl0_103 ),
inference(rat,[],[s2603,s2630,s2768,s646,s2428,s3038,s810,s141]) ).
cnf(s3249,plain,
( ~ spl0_202
| spl0_223
| spl0_296
| ~ spl0_217
| ~ spl0_343
| spl0_265
| ~ spl0_107
| ~ spl0_103
| spl0_109
| ~ spl0_39
| ~ spl0_12
| ~ spl0_7 ),
inference(rat,[],[s723,s2474,s1723,s931,s1277,s2467,s642,s3248,s2991,s645,s2212,s2996,s1940,s3092,s2162,s2104,s2434,s2821,s2702,s1528,s860,s829,s100,s2719,s2250,s1067,s141,s1513,s1091,s677,s1320]) ).
cnf(s3250,plain,
( spl0_30
| ~ spl0_26
| ~ spl0_12
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s723,s2474,s2577,s931,s3032,s3058,s2164,s643,s642,s1365,s3248,s3147,s2996,s2876,s3092,s2609,s2678,s644,s3249,s1415,s2392,s1789,s904,s2979,s3068,s1569,s2080,s1565,s1572,s2823,s1889,s2719,s373,s1233,s2250,s2007,s3247,s26,s37,s54,s16,s34,s46,s2401,s919,s1402,s141,s1091,s677,s845,s1024,s431,s288]) ).
cnf(s3251,plain,
( spl0_223
| spl0_279
| spl0_296
| ~ spl0_343
| spl0_255
| spl0_265
| spl0_73
| ~ spl0_103
| spl0_109
| spl0_78
| ~ spl0_30
| ~ spl0_26
| ~ spl0_12
| ~ spl0_7 ),
inference(rat,[],[s723,s2474,s2577,s931,s3032,s3058,s2164,s643,s1365,s3025,s3147,s642,s2876,s3248,s2609,s2996,s644,s3092,s3249,s46,s2823,s3068,s904,s141,s1091,s677,s1024]) ).
cnf(s3252,plain,
( ~ spl0_223
| ~ spl0_26
| ~ spl0_12
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s3025,s1415,s2151,s3250]) ).
cnf(s3253,plain,
( ~ spl0_103
| spl0_279
| spl0_109
| spl0_78
| ~ spl0_26
| ~ spl0_12
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s1789,s3251,s3068,s1569,s2080,s1565,s1572,s1889,s373,s1233,s1402,s54,s16,s34,s3250,s3252,s1024,s141,s677,s845]) ).
cnf(s3255,plain,
( spl0_255
| ~ spl0_74
| spl0_265
| spl0_276
| ~ spl0_409
| spl0_109
| ~ spl0_19 ),
inference(rat,[],[s3038,s646,s642,s2745,s2473,s2596,s1694,s904,s141]) ).
cnf(s3256,plain,
( ~ spl0_219
| spl0_265
| spl0_276
| ~ spl0_409
| ~ spl0_266
| ~ spl0_224
| spl0_109
| ~ spl0_272
| ~ spl0_19
| ~ spl0_43
| ~ spl0_239 ),
inference(rat,[],[s643,s2682,s2670,s1404,s3255,s1691,s1424,s141]) ).
cnf(s3257,plain,
( spl0_255
| spl0_157
| ~ spl0_225
| spl0_265
| spl0_276
| ~ spl0_409
| ~ spl0_371
| spl0_73
| ~ spl0_266
| spl0_109
| spl0_78
| ~ spl0_30
| ~ spl0_26
| ~ spl0_19 ),
inference(rat,[],[s2095,s3027,s707,s3032,s1771,s1892,s642,s2223,s2386,s643,s3098,s1365,s3255,s357,s95,s3068,s141,s431,s1024]) ).
cnf(s3258,plain,
( spl0_265
| ~ spl0_71
| ~ spl0_266
| spl0_279
| spl0_109
| spl0_78
| ~ spl0_272
| ~ spl0_30
| ~ spl0_26
| ~ spl0_12
| ~ spl0_43
| ~ spl0_2 ),
inference(rat,[],[s643,s3053,s2682,s2997,s1404,s2066,s3257,s1889,s645,s1572,s2213,s1452,s1789,s1675,s2821,s1505,s644,s2609,s3030,s3147,s3256,s3068,s860,s16,s34,s2401,s919,s1402,s1237,s2068,s2999,s2996,s2761,s998,s1000,s2336,s3018,s46,s141,s1091,s1870,s845,s1024,s677,s431,s288]) ).
cnf(s3259,plain,
( ~ spl0_198
| ~ spl0_219
| ~ spl0_409
| ~ spl0_371
| ~ spl0_71
| spl0_223
| ~ spl0_30 ),
inference(rat,[],[s1470,s707,s643,s2095,s3109,s1472,s3024,s646,s2412,s3038,s1067,s141]) ).
cnf(s3261,plain,
( ~ spl0_198
| spl0_405
| spl0_276
| ~ spl0_409
| ~ spl0_371
| ~ spl0_71
| ~ spl0_30
| ~ spl0_37
| ~ spl0_43 ),
inference(rat,[],[s1277,s2654,s2743,s2561,s2095,s2328,s723,s3024,s646,s2412,s3038,s431,s141]) ).
cnf(s3262,plain,
( ~ spl0_258
| ~ spl0_197
| ~ spl0_250
| spl0_109
| ~ spl0_39
| ~ spl0_12 ),
inference(rat,[],[s723,s2474,s1723]) ).
cnf(s3263,plain,
( spl0_279
| spl0_109
| spl0_78
| ~ spl0_26
| ~ spl0_12
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s1892,s2165,s1277,s2654,s3262,s642,s3261,s3056,s1972,s3258,s1000,s2996,s2999,s2336,s2761,s3018,s2068,s267,s3253,s3092,s1402,s54,s860,s46,s3250,s1067,s3252,s829,s100,s141,s431,s1870,s1091,s677]) ).
cnf(s3265,plain,
( ~ spl0_220
| ~ spl0_107
| spl0_276
| ~ spl0_279
| spl0_223
| ~ spl0_26
| ~ spl0_19
| ~ spl0_2 ),
inference(rat,[],[s1470,s707,s643,s2997,s2164,s2066,s2654,s2648,s2082,s2596,s1472,s2604,s2745,s646,s2381,s2392,s46,s2401,s919,s1067,s1973,s1402,s141,s1870,s431,s810,s288]) ).
cnf(s3267,plain,
( spl0_107
| spl0_78
| ~ spl0_30
| ~ spl0_39
| ~ spl0_12
| ~ spl0_43
| ~ spl0_2 ),
inference(rat,[],[s373,s267,s2823,s2761]) ).
cnf(s3268,plain,
( ~ spl0_279
| ~ spl0_107
| ~ spl0_26
| ~ spl0_12
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s1470,s707,s643,s2997,s2670,s2066,s2648,s2596,s1472,s2745,s646,s2381,s2382,s3025,s3265,s2104,s1973,s1402,s54,s860,s16,s34,s3250,s1067,s3252,s141,s1870,s810]) ).
cnf(s3269,plain,
( spl0_78
| ~ spl0_26
| ~ spl0_12
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s3032,s3058,s3027,s2609,s3109,s644,s643,s3245,s2598,s1675,s3117,s998,s2247,s2231,s2538,s3025,s3144,s3042,s2148,s770,s623,s2319,s3263,s3092,s3268,s3267,s54,s860,s46,s2401,s919,s1402,s3250,s3252,s141,s1091,s845,s677,s288]) ).
cnf(s3270,plain,
( ~ spl0_26
| ~ spl0_12
| ~ spl0_2
| ~ spl0_7 ),
inference(rat,[],[s267,s2270,s2250,s2719,s3269,s3250]) ).
cnf(s3271,plain,
( spl0_30
| spl0_279
| spl0_109
| spl0_78
| spl0_26
| ~ spl0_12
| ~ spl0_43
| ~ spl0_2 ),
inference(rat,[],[s2609,s644,s2983,s2821,s1000,s37,s1789,s2336,s2401,s3068,s3018,s368,s1360,s1565,s1572,s1900,s2823,s1889,s373,s1233,s2007,s26,s1402,s16,s34,s1091,s141,s845,s1024,s288,s677,s431]) ).
cnf(s3272,plain,
( ~ spl0_260
| spl0_73
| ~ spl0_71
| spl0_78
| ~ spl0_37 ),
inference(rat,[],[s1892,s2165,s1277,s368,s141]) ).
cnf(s3273,plain,
( ~ spl0_71
| spl0_279
| spl0_109
| spl0_78
| ~ spl0_16
| ~ spl0_12 ),
inference(rat,[],[s2395,s646,s642,s1600,s3262,s2742,s931,s3272,s1000,s2336,s3018,s1961,s368,s860,s829,s100,s677,s141]) ).
cnf(s3274,plain,
( spl0_279
| spl0_109
| spl0_78
| spl0_26
| ~ spl0_12
| ~ spl0_43
| ~ spl0_2 ),
inference(rat,[],[s373,s267,s1900,s3273,s3271,s44,s288]) ).
cnf(s3275,plain,
( ~ spl0_31
| spl0_276
| ~ spl0_279
| spl0_109
| spl0_78
| ~ spl0_19
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s2821,s1789,s644,s1572,s2678,s1889,s2382,s373,s1233,s2006,s2007,s54,s3068,s1973,s1402,s141,s845,s1024,s431]) ).
cnf(s3276,plain,
( ~ spl0_107
| ~ spl0_279
| spl0_109
| spl0_78
| spl0_26
| ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s2733,s1208,s1181,s3001,s2412,s646,s642,s2604,s3262,s2082,s931,s2401,s3272,s2403,s1961,s368,s776,s829,s100,s1973,s1402,s2104,s860,s431,s1870,s141,s288]) ).
cnf(s3277,plain,
( spl0_109
| spl0_78
| ~ spl0_12
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s267,s368,s373,s3267,s2823,s3276,s26,s3275,s2104,s3274,s54,s860,s16,s34,s3270]) ).
cnf(s3278,plain,
( spl0_223
| spl0_279
| ~ spl0_108
| spl0_78
| spl0_26 ),
inference(rat,[],[s2148,s3092,s1190,s677,s810]) ).
cnf(s3279,plain,
( ~ spl0_223
| ~ spl0_39
| spl0_276
| ~ spl0_19
| ~ spl0_12
| ~ spl0_7 ),
inference(rat,[],[s26,s3025,s2006,s1726,s2151,s845,s1024]) ).
cnf(s3280,plain,
( spl0_78
| ~ spl0_12
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s1886,s830,s1208,s1181,s3001,s646,s2604,s1973,s3278,s3279,s2082,s2401,s623,s2403,s931,s368,s2538,s3272,s1900,s2823,s3042,s770,s2319,s3277,s1402,s860,s16,s34,s3270,s141,s431,s1870,s288,s677]) ).
cnf(s3283,plain,
( ~ spl0_198
| ~ spl0_272
| spl0_268
| ~ spl0_76
| ~ spl0_71
| ~ spl0_78
| spl0_26 ),
inference(rat,[],[s643,s3032,s973,s2733,s707,s2412,s1180,s2755,s141,s431]) ).
cnf(s3285,plain,
( ~ spl0_223
| ~ spl0_39
| ~ spl0_30
| ~ spl0_12
| ~ spl0_7 ),
inference(rat,[],[s3025,s1726,s2151]) ).
cnf(s3287,plain,
( ~ spl0_198
| ~ spl0_268
| ~ spl0_272
| ~ spl0_76
| ~ spl0_71
| ~ spl0_78
| spl0_26 ),
inference(rat,[],[s1071,s2757,s646,s2733,s707,s2369,s2412,s1180,s2719,s141,s431]) ).
cnf(s3289,plain,
( ~ spl0_198
| spl0_26
| ~ spl0_272
| ~ spl0_76
| ~ spl0_71
| ~ spl0_78 ),
inference(rat,[],[s3287,s3283]) ).
cnf(s3290,plain,
( ~ spl0_12
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s1771,s707,s2165,s1469,s1885,s1790,s2774,s642,s3289,s1067,s3285,s1935,s2401,s95,s357,s2403,s1961,s368,s267,s26,s2007,s1691,s2926,s2250,s912,s1483,s2719,s3280,s3270,s16,s34,s860,s1402,s54,s141,s288,s431]) ).
cnf(s3291,plain,
( spl0_30
| spl0_71
| spl0_109
| ~ spl0_26
| spl0_78
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s723,s2474,s2577,s931,s2449,s2594,s1477,s2487,s642,s3248,s2996,s3092,s1913,s1415,s87,s904,s2979,s20,s2080,s1565,s384,s2823,s357,s1889,s373,s1233,s2007,s37,s26,s54,s2401,s919,s1402,s16,s71,s46,s979,s828,s100,s612,s815,s10,s3290,s141,s1091,s677,s845,s1024,s431,s288]) ).
cnf(s3292,plain,
( ~ spl0_208
| ~ spl0_371
| ~ spl0_30
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s3027,s2095,s2449]) ).
cnf(s3293,plain,
( spl0_71
| spl0_109
| ~ spl0_26
| spl0_78
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s3025,s2382,s1415,s2381,s1913,s2396,s646,s2602,s2768,s2428,s642,s1477,s3292,s87,s904,s20,s2999,s2080,s1565,s384,s2823,s357,s1889,s373,s1233,s267,s3291,s815,s1402,s54,s10,s3290,s46,s612,s677,s141,s810,s431]) ).
cnf(s3294,plain,
( spl0_279
| spl0_223
| spl0_296
| spl0_390
| ~ spl0_343
| spl0_255
| spl0_265
| ~ spl0_103
| ~ spl0_107
| ~ spl0_71
| spl0_109
| ~ spl0_19
| ~ spl0_39
| spl0_78
| ~ spl0_43
| ~ spl0_2 ),
inference(rat,[],[s645,s2212,s2224,s1940,s1631,s3098,s2792,s2481,s1694,s2679,s2293,s2473,s2434,s1000,s642,s1528,s1548,s2821,s2702,s3248,s644,s2996,s2609,s3092,s100,s904,s1067,s141,s431,s1091,s1320,s677]) ).
cnf(s3295,plain,
( spl0_30
| ~ spl0_71
| spl0_109
| ~ spl0_19
| ~ spl0_26
| spl0_78
| ~ spl0_43
| ~ spl0_2 ),
inference(rat,[],[s1000,s3265,s2345,s3294,s1415,s1789,s2979,s2983,s3068,s1569,s2080,s1565,s1572,s1889,s1233,s2007,s37,s26,s46,s2401,s919,s1402,s2823,s2068,s845,s1024,s141,s677,s431,s288]) ).
cnf(s3297,plain,
( ~ spl0_236
| spl0_279
| spl0_208
| spl0_73
| ~ spl0_71
| spl0_109
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s931,s2474,s2594,s723,s1886,s642,s1138,s2396,s646,s2738,s2790,s2293,s100,s46,s707,s141,s677]) ).
cnf(s3298,plain,
( ~ spl0_198
| spl0_276
| ~ spl0_409
| spl0_279
| spl0_208
| ~ spl0_71
| ~ spl0_26 ),
inference(rat,[],[s2594,s2654,s2744,s2561,s646,s723,s3038,s2412,s46,s431,s141]) ).
cnf(s3299,plain,
( spl0_198
| spl0_208
| ~ spl0_76
| ~ spl0_70
| spl0_109
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s723,s2474,s2577,s931,s2904,s2594,s1771,s1886,s642,s46,s707,s141]) ).
cnf(s3300,plain,
( spl0_279
| spl0_223
| spl0_208
| spl0_73
| ~ spl0_71
| spl0_109
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s3298,s1000,s2996,s3297,s3092,s46,s2823,s3299,s95,s357,s1091,s677]) ).
cnf(s3301,plain,
( spl0_223
| spl0_146
| ~ spl0_30
| ~ spl0_71
| spl0_109
| ~ spl0_19
| ~ spl0_26
| spl0_78
| ~ spl0_2 ),
inference(rat,[],[s1000,s3265,s2345,s3300,s3025,s3109,s643,s1470,s46,s707,s3024,s2412,s3299,s3292,s2999,s2823,s95,s357,s2068,s141,s431]) ).
cnf(s3302,plain,
( spl0_109
| ~ spl0_26
| spl0_78
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s3025,s2382,s1415,s2454,s3301,s894,s2412,s3299,s3292,s3295,s2999,s2823,s95,s357,s2068,s3293,s54,s10,s3290,s16,s71,s46,s979,s431]) ).
cnf(s3303,plain,
( spl0_223
| spl0_279
| ~ spl0_24
| ~ spl0_195
| ~ spl0_35
| ~ spl0_108
| spl0_78
| ~ spl0_239 ),
inference(rat,[],[s2979,s2148,s2873,s3092,s2978,s845,s1024,s677]) ).
cnf(s3304,plain,
( ~ spl0_223
| ~ spl0_195
| spl0_30
| ~ spl0_26
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s2873,s2006,s2979,s2382,s1415,s2454,s26,s16,s71,s46,s979,s37,s2401,s919,s1402,s677,s845,s1024,s288]) ).
cnf(s3305,plain,
( spl0_73
| spl0_30
| spl0_71
| ~ spl0_26
| spl0_78
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s2345,s1000,s3303,s2978,s3304,s20,s3042,s384,s10,s3290,s2319,s623,s3302,s46,s37,s2401,s919,s1402,s845,s288]) ).
cnf(s3306,plain,
( spl0_208
| ~ spl0_236
| ~ spl0_265
| spl0_285
| spl0_223
| ~ spl0_35
| ~ spl0_17 ),
inference(rat,[],[s643,s1470,s2982,s894,s3074,s1138,s646,s2734,s707,s1067,s141,s677,s810]) ).
cnf(s3307,plain,
( ~ spl0_208
| ~ spl0_73
| spl0_125
| ~ spl0_43
| ~ spl0_2 ),
inference(rat,[],[s642,s2470,s2924,s1469,s2421,s373,s141,s431]) ).
cnf(s3308,plain,
( spl0_223
| spl0_279
| spl0_208
| ~ spl0_35
| ~ spl0_108
| ~ spl0_39
| spl0_78
| ~ spl0_17 ),
inference(rat,[],[s1000,s2978,s3306,s20,s2979,s1324,s3010,s2148,s3092,s845,s1024,s677]) ).
cnf(s3309,plain,
( spl0_279
| spl0_208
| spl0_145
| spl0_157
| ~ spl0_382
| ~ spl0_35
| ~ spl0_31
| ~ spl0_66
| ~ spl0_26
| spl0_78
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s2026,s2863,s1250,s1404,s2757,s1937,s1356,s1691,s1362,s2386,s643,s642,s2982,s2943,s723,s3074,s1138,s646,s2738,s2790,s1054,s1000,s1972,s2006,s2979,s2382,s1415,s2454,s3308,s54,s10,s3290,s100,s2401,s919,s1402,s2319,s623,s3302,s46,s707,s141,s677,s810,s1870,s845,s1024,s288]) ).
cnf(s3310,plain,
( spl0_30
| spl0_71
| ~ spl0_26
| spl0_78
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s2670,s643,s2648,s1470,s2596,s1472,s2745,s646,s1067,s2381,s2006,s1415,s2392,s1000,s2979,s2345,s1973,s3309,s707,s3307,s1887,s373,s1690,s2913,s3305,s37,s26,s54,s2401,s919,s1402,s1371,s16,s71,s46,s979,s226,s141,s810,s845,s1024,s288]) ).
cnf(s3311,plain,
( spl0_71
| ~ spl0_26
| spl0_78
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s3025,s2392,s2382,s2381,s2396,s646,s2602,s2768,s2428,s642,s1477,s904,s3292,s2080,s1565,s2999,s357,s1889,s2847,s373,s1233,s2250,s267,s3310,s815,s1402,s54,s10,s3290,s3302,s677,s141,s810,s431]) ).
cnf(s3312,plain,
( spl0_279
| spl0_223
| ~ spl0_35
| ~ spl0_195
| ~ spl0_108
| spl0_78
| ~ spl0_17
| ~ spl0_239 ),
inference(rat,[],[s3010,s20,s2148,s3303,s3092,s677]) ).
cnf(s3313,plain,
( spl0_30
| ~ spl0_26
| spl0_78
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s3265,s1000,s2979,s2345,s1973,s3312,s3304,s37,s10,s3290,s2401,s919,s1402,s16,s71,s979,s623,s46,s2847,s2270,s3042,s2068,s3311,s2319,s3302,s845,s1024,s288]) ).
cnf(s3314,plain,
( ~ spl0_266
| spl0_223
| spl0_208
| ~ spl0_30
| ~ spl0_371
| ~ spl0_76
| ~ spl0_70
| ~ spl0_107
| ~ spl0_71
| ~ spl0_108
| ~ spl0_155
| ~ spl0_26
| spl0_78
| ~ spl0_17 ),
inference(rat,[],[s3109,s643,s3027,s973,s2904,s1054,s1771,s2978,s1886,s642,s20,s3259,s3025,s3010,s2996,s2148,s707,s1067,s141,s845,s1091]) ).
cnf(s3315,plain,
( spl0_223
| ~ spl0_30
| ~ spl0_107
| ~ spl0_71
| ~ spl0_108
| ~ spl0_155
| ~ spl0_19
| ~ spl0_26
| spl0_78
| ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s3010,s20,s3265,s2978,s1000,s2345,s3092,s3314,s46,s357,s95,s2068,s3292,s2999,s845,s677,s431]) ).
cnf(s3316,plain,
( ~ spl0_26
| spl0_78
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s3025,s2382,s1415,s2454,s3315,s3313,s2847,s2270,s3311,s623,s2319,s3302,s16,s71,s46,s979,s10,s3290]) ).
cnf(s3317,plain,
( spl0_223
| ~ spl0_257
| ~ spl0_197
| ~ spl0_108
| ~ spl0_23
| ~ spl0_15
| spl0_26
| spl0_78
| ~ spl0_239 ),
inference(rat,[],[s1336,s643,s2467,s1994,s2994,s2783,s3068,s2148,s1973,s3010,s3278,s100,s141,s1091,s1024]) ).
cnf(s3318,plain,
( ~ spl0_108
| spl0_71
| spl0_30
| spl0_78
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s1702,s1883,s2470,s2006,s646,s1371,s26,s1643,s16,s1988,s2783,s394,s2382,s1030,s777,s2454,s3317,s2774,s642,s3152,s1402,s54,s330,s599,s36,s312,s44,s2044,s883,s1691,s913,s1690,s1900,s2416,s2421,s321,s1941,s3316,s3290,s845,s1024,s141,s1091,s431,s288]) ).
cnf(s3319,plain,
( spl0_71
| spl0_30
| spl0_78
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s2943,s642,s1887,s1152,s2401,s41,s349,s1459,s623,s3318,s36,s321,s226,s1900,s312,s1941,s613,s44,s2416,s3316,s3290,s141,s288]) ).
cnf(s3320,plain,
( ~ spl0_114
| ~ spl0_225
| ~ spl0_227
| ~ spl0_15
| ~ spl0_239 ),
inference(rat,[],[s643,s1365,s747,s906,s141]) ).
cnf(s3321,plain,
( ~ spl0_198
| ~ spl0_82
| ~ spl0_279
| spl0_223
| ~ spl0_71
| ~ spl0_15
| ~ spl0_109
| ~ spl0_17 ),
inference(rat,[],[s643,s1470,s1336,s894,s706,s1134,s2412,s141]) ).
cnf(s3322,plain,
( spl0_266
| ~ spl0_257
| ~ spl0_197
| ~ spl0_227
| ~ spl0_279
| spl0_223
| ~ spl0_15
| ~ spl0_68 ),
inference(rat,[],[s643,s1336,s1994,s2467,s2994,s2783,s141,s1091]) ).
cnf(s3323,plain,
( spl0_223
| spl0_30
| spl0_78
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s1093,s1325,s644,s645,s2855,s2727,s1686,s1919,s872,s2401,s37,s2979,s2148,s3322,s2774,s642,s3321,s1054,s2006,s26,s16,s395,s1691,s913,s2421,s2044,s1690,s2250,s2823,s2847,s764,s752,s1832,s3320,s3147,s3068,s1063,s1973,s3278,s1402,s54,s10,s100,s2416,s2319,s613,s2050,s1941,s1549,s368,s3319,s3290,s3316,s141,s1024,s288,s845,s431]) ).
cnf(s3324,plain,
( ~ spl0_107
| ~ spl0_236
| ~ spl0_225
| ~ spl0_71
| ~ spl0_15
| ~ spl0_239 ),
inference(rat,[],[s3320,s3068,s1832,s2560,s764,s368,s1024,s1091]) ).
cnf(s3325,plain,
( ~ spl0_244
| ~ spl0_382
| ~ spl0_263
| ~ spl0_262
| ~ spl0_223 ),
inference(rat,[],[s643,s2608,s1064,s2757,s141]) ).
cnf(s3326,plain,
( spl0_279
| ~ spl0_225
| ~ spl0_223
| ~ spl0_71
| ~ spl0_109
| spl0_26
| spl0_12
| ~ spl0_2 ),
inference(rat,[],[s2608,s643,s2165,s1880,s1135,s3325,s2847,s3324,s2783,s2481,s1000,s1440,s1058,s1187,s1402,s2416,s368,s141,s1091,s810]) ).
cnf(s3327,plain,
( spl0_30
| spl0_78
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s646,s1643,s1181,s642,s1886,s1134,s3325,s1988,s2783,s1691,s2481,s1030,s913,s1059,s2044,s1690,s2823,s2847,s764,s1832,s3320,s3068,s1973,s3326,s3147,s2382,s2454,s3323,s368,s3319,s1402,s1941,s613,s2416,s3316,s3290,s141,s1091,s1024,s288]) ).
cnf(s3328,plain,
( spl0_71
| ~ spl0_30
| ~ spl0_60
| spl0_26
| spl0_78
| ~ spl0_2 ),
inference(rat,[],[s267,s321,s288]) ).
cnf(s3329,plain,
( spl0_279
| spl0_78
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s2382,s3147,s2454,s3326,s3278,s613,s2050,s3328,s3327,s1941,s3316,s3290,s141,s288]) ).
cnf(s3330,plain,
( spl0_223
| spl0_256
| ~ spl0_82
| spl0_266
| ~ spl0_227
| ~ spl0_279
| ~ spl0_71
| ~ spl0_15
| ~ spl0_109
| ~ spl0_68
| ~ spl0_17 ),
inference(rat,[],[s3322,s2774,s642,s3321,s141]) ).
cnf(s3331,plain,
( spl0_78
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s2608,s643,s2165,s1891,s1135,s3325,s3330,s913,s2044,s1690,s2823,s2847,s2481,s2783,s3324,s2293,s2148,s3143,s3025,s3147,s3068,s1063,s1973,s3329,s2050,s368,s3328,s3327,s2416,s613,s1941,s3316,s100,s1402,s10,s3290,s141,s1091,s1024,s288]) ).
cnf(s3332,plain,
( ~ spl0_26
| ~ spl0_78
| ~ spl0_7 ),
inference(rat,[],[s26,s2007,s16,s267,s623,s71,s2270,s372,s46,s979,s2250,s2719,s141,s431]) ).
cnf(s3333,plain,
( ~ spl0_80
| spl0_71
| ~ spl0_15
| ~ spl0_78
| ~ spl0_17 ),
inference(rat,[],[s20,s3203,s384,s323,s571,s297,s403]) ).
cnf(s3334,plain,
( ~ spl0_198
| ~ spl0_109
| ~ spl0_15
| ~ spl0_78 ),
inference(rat,[],[s1134,s1282]) ).
cnf(s3335,plain,
( spl0_279
| spl0_244
| spl0_208
| spl0_26
| spl0_12 ),
inference(rat,[],[s646,s1883,s2744,s1187,s2416,s141,s810]) ).
cnf(s3336,plain,
( spl0_71
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s646,s1883,s2563,s2006,s1250,s1272,s1063,s947,s3335,s1135,s1702,s1469,s2470,s642,s3334,s2319,s2007,s1371,s26,s16,s395,s3333,s267,s54,s10,s1691,s912,s1402,s2421,s2250,s2719,s2416,s3332,s3331,s3290,s141,s845,s1024,s431]) ).
cnf(s3337,plain,
( ~ spl0_80
| ~ spl0_71
| ~ spl0_15
| ~ spl0_78 ),
inference(rat,[],[s323,s297,s752,s368]) ).
cnf(s3338,plain,
( ~ spl0_317
| ~ spl0_236
| spl0_268
| ~ spl0_344
| ~ spl0_108 ),
inference(rat,[],[s1530,s644,s1636,s1143,s1950,s141]) ).
cnf(s3340,plain,
( ~ spl0_244
| ~ spl0_197
| ~ spl0_15
| spl0_256
| ~ spl0_7
| ~ spl0_239 ),
inference(rat,[],[s2267,s904,s2768,s1404,s1702,s810]) ).
cnf(s3341,plain,
( spl0_279
| spl0_244
| ~ spl0_197
| ~ spl0_71
| spl0_26
| spl0_12 ),
inference(rat,[],[s646,s2563,s1883,s1058,s1187,s1250,s2165,s1135,s2416,s368,s141,s810]) ).
cnf(s3342,plain,
( ~ spl0_31
| ~ spl0_71
| ~ spl0_78
| spl0_12
| ~ spl0_7
| ~ spl0_239 ),
inference(rat,[],[s646,s1883,s2563,s2006,s1272,s1063,s3341,s1250,s2165,s1135,s3340,s642,s3334,s2007,s912,s2250,s2719,s2416,s3332,s368,s141,s845,s1024,s431]) ).
cnf(s3343,plain,
( spl0_317
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s2280,s2792,s1768,s2679,s3026,s26,s3342,s16,s395,s3337,s3336,s54,s2416,s3332,s3290,s2421,s2250,s2719,s1691,s912,s3331,s1402,s1024,s431]) ).
cnf(s3344,plain,
( spl0_279
| ~ spl0_317
| ~ spl0_344
| ~ spl0_71
| spl0_26
| spl0_12 ),
inference(rat,[],[s3338,s1000,s1058,s1187,s2416,s368,s2050,s1941,s810,s141]) ).
cnf(s3345,plain,
( ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s3143,s3338,s3025,s1272,s1063,s3344,s3343,s26,s3342,s16,s395,s3337,s1587,s2050,s1954,s368,s3336,s2416,s1941,s3332,s2421,s1691,s2250,s912,s2719,s3331,s3290,s54,s1402,s845,s141,s431]) ).
cnf(s3346,plain,
( ~ spl0_103
| ~ spl0_35
| spl0_279
| spl0_78
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s2609,s2876,s644,s2194,s1548,s1415,s1630,s2979,s3068,s1565,s1572,s1889,s2823,s1233,s373,s355,s1402,s30,s3345,s1091,s141,s845,s1024,s677]) ).
cnf(s3347,plain,
( spl0_30
| ~ spl0_12
| spl0_279
| spl0_78
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s2319,s770,s2007,s2296,s3346,s37,s26,s3345,s2401,s919,s1402,s16,s34,s141,s431,s288]) ).
cnf(s3348,plain,
( ~ spl0_12
| spl0_279
| spl0_71
| spl0_78
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s1415,s3025,s2194,s2876,s2609,s644,s1548,s1630,s3068,s1565,s1572,s1889,s3267,s1233,s373,s355,s267,s3347,s1402,s30,s3345,s46,s1091,s141,s1024,s677,s845]) ).
cnf(s3349,plain,
( ~ spl0_212
| ~ spl0_131
| ~ spl0_73
| ~ spl0_51
| ~ spl0_26 ),
inference(rat,[],[s2375,s1251,s1185,s810]) ).
cnf(s3350,plain,
( spl0_30
| ~ spl0_17
| spl0_31
| spl0_279
| ~ spl0_66
| spl0_78
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s643,s2598,s1064,s2594,s998,s1937,s1221,s1972,s2979,s3144,s1415,s3308,s623,s828,s2601,s2375,s2386,s2924,s642,s2943,s3349,s1690,s336,s1887,s2296,s632,s71,s340,s3346,s16,s37,s26,s30,s3345,s46,s2401,s919,s1402,s100,s141,s1870,s845,s1024,s810,s288]) ).
cnf(s3351,plain,
( spl0_279
| spl0_71
| spl0_78
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s646,s2396,s1600,s642,s2600,s1477,s904,s3292,s2080,s1565,s2999,s1889,s2823,s357,s1233,s373,s355,s267,s3350,s815,s10,s3088,s3348,s1402,s30,s3345,s226,s141,s677,s431]) ).
cnf(s3352,plain,
( ~ spl0_220
| spl0_71
| spl0_78
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s373,s355,s1887,s2943,s642,s2924,s2823,s2997,s2577,s2066,s2449,s2648,s707,s2600,s1470,s1980,s643,s2164,s2594,s2654,s2082,s2604,s1472,s646,s1067,s2381,s1415,s2392,s30,s3345,s2401,s919,s226,s1973,s1402,s1000,s2345,s3351,s46,s141,s1870,s810,s431,s288]) ).
cnf(s3353,plain,
( spl0_244
| spl0_208
| ~ spl0_103
| spl0_78
| spl0_7 ),
inference(rat,[],[s2428,s1285,s1886,s141]) ).
cnf(s3354,plain,
( spl0_71
| spl0_78
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s643,s2998,s2598,s1208,s2594,s3353,s3292,s2999,s2823,s373,s355,s267,s37,s2979,s3144,s3352,s998,s1000,s2345,s1973,s3351,s3345,s46,s2401,s919,s1402,s141,s1091,s431,s845,s1024,s288]) ).
cnf(s3355,plain,
( spl0_279
| spl0_78
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s3030,s2876,s2609,s644,s37,s1548,s3346,s2401,s919,s2823,s1630,s3068,s1565,s30,s1572,s1889,s1233,s355,s2452,s873,s3345,s2068,s3354,s1402,s1091,s141,s845,s431,s1024,s677,s288]) ).
cnf(s3356,plain,
( spl0_78
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s1208,s3353,s3001,s1181,s646,s2745,s1000,s2345,s3355,s2596,s904,s2080,s1565,s16,s1889,s71,s1233,s369,s355,s2452,s2823,s2068,s3354,s1402,s873,s3345,s46,s1870,s141,s677,s431]) ).
cnf(s3357,plain,
( ~ spl0_244
| ~ spl0_19
| ~ spl0_157
| ~ spl0_78
| ~ spl0_26
| ~ spl0_239 ),
inference(rat,[],[s1273,s2596,s2026,s1581,s2863,s643,s3032,s2755,s642,s2473,s1250,s1694,s904,s2757,s2594,s1404,s2719,s1691,s912,s623,s372,s46,s141]) ).
cnf(s3358,plain,
( ~ spl0_198
| spl0_244
| ~ spl0_103
| ~ spl0_78
| spl0_7 ),
inference(rat,[],[s1285,s2428,s1180]) ).
cnf(s3359,plain,
( ~ spl0_19
| ~ spl0_103
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s1771,s2625,s707,s1694,s1469,s2473,s1790,s642,s3358,s3357,s3345,s1691,s912,s1935,s623,s372,s3356,s46,s2401,s919,s1402,s1233,s357,s95,s373,s355,s141,s288]) ).
cnf(s3360,plain,
( ~ spl0_103
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s20,s10,s218,s34,s16,s3359,s384,s373,s355,s2270,s2719,s3356]) ).
cnf(s3361,plain,
( ~ spl0_244
| ~ spl0_13
| ~ spl0_79
| ~ spl0_78
| ~ spl0_26
| ~ spl0_239 ),
inference(rat,[],[s1221,s2606,s2082,s2681,s2863,s643,s3032,s2755,s642,s2774,s1885,s931,s904,s2757,s2594,s1404,s2401,s919,s2719,s912,s2926,s623,s372,s46,s340,s141,s288]) ).
cnf(s3362,plain,
( ~ spl0_220
| ~ spl0_51
| spl0_279
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s1209,s1415,s3345]) ).
cnf(s3363,plain,
( spl0_208
| spl0_366
| spl0_244
| ~ spl0_43
| ~ spl0_2 ),
inference(rat,[],[s1937,s1285,s1402,s3345]) ).
cnf(s3364,plain,
( spl0_30
| spl0_279
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s1790,s642,s1469,s1180,s3363,s1972,s2979,s3362,s3361,s71,s340,s16,s26,s37,s1691,s912,s1935,s2401,s919,s1402,s2421,s2007,s3360,s623,s372,s3356,s46,s141,s1870,s845,s1024,s431,s288]) ).
cnf(s3365,plain,
( ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s3009,s2792,s1334,s2679,s2698,s20,s644,s3147,s2978,s1423,s2678,s1060,s1415,s2392,s10,s1000,s2979,s71,s34,s340,s2345,s1973,s16,s3364,s37,s26,s267,s2007,s3360,s623,s2270,s372,s2719,s3356,s2401,s46,s919,s1402,s30,s3345,s141,s845,s1024,s431,s288]) ).
cnf(s3366,plain,
( spl0_279
| ~ spl0_103
| spl0_78
| ~ spl0_2 ),
inference(rat,[],[s3058,s1064,s2609,s3278,s644,s623,s1548,s3274,s2823,s1630,s3068,s30,s1572,s643,s1581,s3272,s860,s1549,s639,s874,s3345,s2596,s16,s71,s369,s368,s1900,s3365,s1565,s904,s2080,s1889,s1233,s373,s355,s1402,s141,s1091,s677,s288,s845,s1024]) ).
cnf(s3367,plain,
( ~ spl0_103
| spl0_78
| ~ spl0_2 ),
inference(rat,[],[s2238,s646,s3353,s1892,s2745,s1208,s2104,s3366,s2998,s643,s1581,s2596,s3272,s16,s860,s71,s1549,s904,s369,s368,s2080,s1565,s639,s1900,s2823,s1889,s373,s1233,s355,s1402,s874,s3345,s3365,s677,s141,s1091,s288]) ).
cnf(s3368,plain,
( ~ spl0_31
| ~ spl0_73
| spl0_103
| ~ spl0_3 ),
inference(rat,[],[s2319,s770,s2007,s3088,s141,s431]) ).
cnf(s3372,plain,
( ~ spl0_12
| ~ spl0_43
| spl0_78
| ~ spl0_2 ),
inference(rat,[],[s368,s3267,s267,s26,s16,s34,s3368,s30,s2611,s1690,s2296,s3367,s3345,s431]) ).
cnf(s3373,plain,
( ~ spl0_43
| spl0_78
| ~ spl0_2 ),
inference(rat,[],[s607,s816,s256,s395,s202,s613,s2416,s1941,s1701,s3372,s3365,s2421,s2296,s3367,s3345,s141,s288,s431]) ).
cnf(s3374,plain,
( spl0_78
| ~ spl0_2 ),
inference(rat,[],[s1961,s324,s267,s26,s16,s2043,s64,s340,s3373,s3368,s2296,s3367,s873,s30,s3345,s3365,s288]) ).
cnf(s3375,plain,
( ~ spl0_21
| ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s2403,s349]) ).
cnf(s3376,plain,
( ~ spl0_198
| spl0_279
| ~ spl0_71
| ~ spl0_103
| ~ spl0_43
| ~ spl0_2 ),
inference(rat,[],[s1681,s336,s1067,s2376,s3289,s1180,s30,s3345,s3365,s3374,s95,s373,s810]) ).
cnf(s3377,plain,
( ~ spl0_197
| ~ spl0_12
| ~ spl0_103
| ~ spl0_43
| ~ spl0_2 ),
inference(rat,[],[s1771,s707,s2625,s1469,s1694,s1790,s2473,s1691,s912,s1402,s1233,s357,s95,s373,s16,s34,s1935,s2401,s3375,s1483,s860,s3374,s288]) ).
cnf(s3378,plain,
( ~ spl0_12
| ~ spl0_103
| ~ spl0_43
| ~ spl0_2 ),
inference(rat,[],[s2979,s1726,s37,s1973,s1067,s3024,s3376,s2428,s3289,s2412,s642,s3377,s368,s756,s1216,s2401,s3375,s1402,s3345,s44,s3365,s3374,s357,s95,s373,s845,s1024,s141,s288]) ).
cnf(s3379,plain,
( ~ spl0_103
| ~ spl0_43
| ~ spl0_2 ),
inference(rat,[],[s71,s369,s41,s384,s20,s538,s10,s1701,s3378,s365,s1389,s373,s1233,s3345,s3365]) ).
cnf(s3380,plain,
( ~ spl0_198
| ~ spl0_224
| ~ spl0_71
| ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s710,s3144,s643,s1726,s3032,s1067,s2733,s3289,s2412,s1180,s2755,s23,s3365,s3374,s95,s1961,s368,s141,s431]) ).
cnf(s3381,plain,
( ~ spl0_197
| ~ spl0_12
| ~ spl0_43
| ~ spl0_2 ),
inference(rat,[],[s1771,s707,s2165,s1469,s1885,s1790,s2774,s1691,s912,s1402,s2926,s1935,s2401,s3375,s357,s95,s1961,s368,s267,s26,s16,s34,s2007,s1483,s860,s3374,s3379,s431,s141,s288]) ).
cnf(s3382,plain,
( ~ spl0_12
| ~ spl0_43
| ~ spl0_2 ),
inference(rat,[],[s2863,s2082,s643,s931,s2104,s3032,s1277,s1404,s1237,s2733,s3380,s2412,s1180,s2755,s642,s3381,s267,s26,s2007,s2401,s16,s1483,s3375,s34,s860,s1402,s3365,s3374,s3379,s141,s431,s288]) ).
cnf(s3383,plain,
( ~ spl0_80
| ~ spl0_17
| ~ spl0_15
| ~ spl0_78 ),
inference(rat,[],[s3337,s3333]) ).
cnf(s3384,plain,
( ~ spl0_43
| ~ spl0_2 ),
inference(rat,[],[s3383,s395,s2416,s10,s1701,s3382,s2421,s3379,s3345,s3365,s1691,s912,s3374,s1402,s431]) ).
cnf(s3385,plain,
~ spl0_2,
inference(rat,[],[s1726,s324,s3025,s26,s2007,s2971,s1483,s5,s860,s16,s3241,s2043,s64,s340,s355,s1557,s3384,s3374,s3365,s30,s873,s3345,s141,s431,s288]) ).
cnf(s3387,plain,
spl0_5,
inference(rat,[],[s27,s3385]) ).
cnf(s3389,plain,
( spl0_30
| spl0_279
| ~ spl0_7
| ~ spl0_103
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s2654,s2583,s3262,s3023,s642,s2881,s2006,s3248,s644,s1424,s2996,s3249,s3092,s2607,s1726,s829,s2979,s3247,s37,s26,s100,s46,s2401,s919,s2823,s1569,s904,s2080,s1789,s3068,s1565,s16,s863,s860,s1572,s1889,s2913,s2250,s1233,s759,s431,s1870,s141,s845,s1024,s1091,s677,s3385,s288]) ).
cnf(s3390,plain,
( spl0_279
| ~ spl0_7
| ~ spl0_103
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s2609,s644,s2876,s2821,s3025,s2538,s2148,s3042,s623,s2319,s3251,s3092,s3285,s3389,s46,s2823,s2080,s1569,s1789,s3068,s1565,s16,s863,s860,s1572,s1889,s2913,s2250,s1233,s759,s1091,s141,s677,s845,s1024]) ).
cnf(s3391,plain,
( ~ spl0_7
| ~ spl0_103
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s26,s3025,s2006,s2392,s2382,s2678,s644,s2821,s2104,s3390,s1789,s3068,s1565,s1572,s1889,s2913,s16,s2250,s863,s759,s860,s1233,s845,s1024,s141,s677]) ).
cnf(s3392,plain,
( ~ spl0_206
| spl0_73
| ~ spl0_19
| spl0_279
| spl0_7
| ~ spl0_157
| ~ spl0_12
| ~ spl0_39
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s1424,s2194,s3092,s1726,s2607,s2565,s829,s24,s2319,s2294,s3042,s1000,s2538,s2600,s2561,s931,s904,s723,s2227,s2625,s1526,s1248,s707,s2567,s2738,s1600,s860,s30,s2790,s2340,s100,s677,s3385,s141]) ).
cnf(s3393,plain,
( spl0_109
| spl0_198
| ~ spl0_107
| ~ spl0_76
| ~ spl0_70
| ~ spl0_12
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s1275,s2654,s2997,s3262,s3299,s829,s100,s46,s642,s431,s1870,s141]) ).
cnf(s3394,plain,
( spl0_73
| ~ spl0_31
| ~ spl0_19
| spl0_279
| ~ spl0_103
| ~ spl0_66
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s644,s2609,s2855,s2876,s1727,s2006,s998,s2231,s2538,s3042,s2319,s3393,s2396,s646,s3392,s2823,s95,s357,s46,s860,s2340,s1233,s3391,s141,s1091,s845,s1024,s677,s3385]) ).
cnf(s3395,plain,
( ~ spl0_19
| spl0_30
| spl0_279
| ~ spl0_103
| ~ spl0_66
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s2910,s2383,s645,s3108,s1104,s3092,s2783,s2728,s2674,s644,s2607,s1548,s829,s1631,s2319,s2187,s770,s3394,s26,s100,s3095,s2481,s2340,s1233,s3391,s3385,s141,s677,s1091,s1024]) ).
cnf(s3396,plain,
( ~ spl0_206
| spl0_391
| spl0_276
| spl0_404
| spl0_279
| ~ spl0_12
| ~ spl0_39 ),
inference(rat,[],[s1526,s3106,s707,s2562,s2738,s677]) ).
cnf(s3397,plain,
( spl0_73
| ~ spl0_205
| spl0_109
| spl0_279
| ~ spl0_12
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s3393,s2396,s2823,s95,s357,s677]) ).
cnf(s3398,plain,
( ~ spl0_198
| ~ spl0_73
| ~ spl0_205
| ~ spl0_226
| ~ spl0_228
| spl0_7
| ~ spl0_103
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s2960,s3032,s1064,s643,s2598,s2594,s3353,s2924,s1130,s46,s141,s677]) ).
cnf(s3399,plain,
( ~ spl0_13
| spl0_279
| ~ spl0_103
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s1284,s2594,s2654,s3262,s642,s3398,s3397,s646,s3396,s3144,s2741,s1207,s829,s2926,s998,s71,s982,s1229,s46,s2790,s2340,s1233,s3391,s100,s3385,s431,s141,s288]) ).
cnf(s3400,plain,
( spl0_219
| ~ spl0_30
| spl0_279
| spl0_7
| ~ spl0_12
| ~ spl0_39 ),
inference(rat,[],[s1726,s3025,s2194]) ).
cnf(s3401,plain,
( spl0_73
| spl0_279
| ~ spl0_103
| ~ spl0_66
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s998,s1727,s2538,s1754,s3042,s1631,s2319,s2855,s1548,s3397,s644,s646,s2609,s3392,s2823,s100,s860,s2481,s2340,s1233,s2876,s3400,s3395,s16,s3399,s3391,s46,s677,s141,s1091,s3385]) ).
cnf(s3402,plain,
( spl0_279
| ~ spl0_103
| ~ spl0_66
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s2910,s2383,s645,s3108,s1104,s3092,s2783,s2728,s2607,s829,s2319,s2187,s770,s3401,s2699,s3400,s3395,s16,s3399,s2481,s2340,s100,s46,s1233,s3391,s3385,s141,s677,s1091]) ).
cnf(s3403,plain,
( spl0_208
| spl0_223
| spl0_146
| ~ spl0_107
| ~ spl0_279
| spl0_7
| ~ spl0_103
| spl0_78 ),
inference(rat,[],[s2998,s643,s1208,s1470,s3353,s707,s1091,s141]) ).
cnf(s3404,plain,
( ~ spl0_208
| ~ spl0_107
| ~ spl0_279
| ~ spl0_12
| ~ spl0_39 ),
inference(rat,[],[s646,s2561,s1181,s931,s1275,s723,s2997,s1526,s2104,s860,s141,s1870]) ).
cnf(s3405,plain,
( ~ spl0_223
| spl0_260
| ~ spl0_244
| ~ spl0_228
| ~ spl0_12
| ~ spl0_39 ),
inference(rat,[],[s2598,s3144,s643,s1726,s1064,s141]) ).
cnf(s3406,plain,
( ~ spl0_107
| ~ spl0_279
| spl0_7
| ~ spl0_103
| ~ spl0_12
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s1472,s3403,s1067,s3405,s646,s3001,s1208,s2594,s3353,s3404,s46,s998,s2104,s860,s141,s1870]) ).
cnf(s3407,plain,
( ~ spl0_258
| ~ spl0_226
| spl0_268
| ~ spl0_73
| spl0_276
| spl0_7
| ~ spl0_103
| ~ spl0_66
| ~ spl0_12
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s3398,s646,s642,s2520,s3262,s2083,s46,s998,s829,s2319,s770,s100,s141]) ).
cnf(s3408,plain,
( ~ spl0_103
| ~ spl0_66
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s2563,s642,s646,s1250,s2924,s1181,s2119,s3353,s2594,s2654,s3407,s3144,s2392,s2678,s644,s2821,s2558,s2926,s2481,s2319,s2190,s2187,s770,s2823,s3406,s2104,s3402,s3391,s1233,s46,s860,s141,s3385,s431,s288,s1091]) ).
cnf(s3409,plain,
( ~ spl0_7
| spl0_30
| spl0_103
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s3247,s2007,s37,s26,s2401,s16,s919,s863,s759,s860,s141,s431,s288]) ).
cnf(s3410,plain,
( ~ spl0_198
| ~ spl0_131
| ~ spl0_73
| spl0_7
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s2328,s2375,s2312,s2924,s810,s3385]) ).
cnf(s3411,plain,
( spl0_71
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s1284,s2594,s2654,s3262,s642,s3410,s829,s16,s2319,s26,s770,s3368,s336,s2296,s30,s3409,s267,s632,s3408,s226,s100,s46,s3385,s431,s141]) ).
cnf(s3412,plain,
( ~ spl0_202
| spl0_339
| ~ spl0_355
| spl0_276
| spl0_268
| spl0_279
| ~ spl0_157
| ~ spl0_70
| ~ spl0_26
| ~ spl0_68 ),
inference(rat,[],[s2599,s645,s2942,s2208,s2940,s1672,s1631,s2817,s2855,s1548,s1237,s2481,s141,s1811,s1091]) ).
cnf(s3413,plain,
( ~ spl0_103
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s26,s3030,s2006,s2876,s2609,s644,s3412,s1675,s3117,s2231,s3042,s2319,s3397,s646,s998,s3392,s1000,s16,s2340,s2264,s2401,s71,s3406,s1360,s369,s3391,s1233,s100,s860,s3018,s2761,s357,s1961,s3411,s46,s845,s1024,s1091,s141,s3385,s288,s677]) ).
cnf(s3414,plain,
( spl0_109
| spl0_279
| ~ spl0_71
| ~ spl0_12
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s723,s2561,s2412,s646,s3393,s3397,s2761,s357,s95,s931,s3272,s1961,s860,s1000,s2264,s3018,s46,s141,s677]) ).
cnf(s3415,plain,
( spl0_279
| spl0_223
| ~ spl0_30
| ~ spl0_239
| ~ spl0_71
| ~ spl0_12
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s3032,s3058,s3027,s2609,s3109,s644,s643,s3245,s2598,s1675,s3117,s3025,s3144,s2231,s2148,s3042,s623,s2319,s3414,s998,s1000,s3092,s2264,s3018,s2761,s3272,s1961,s46,s860,s2401,s919,s141,s1091,s845,s677,s288]) ).
cnf(s3416,plain,
( ~ spl0_12
| ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s3025,s2392,s2382,s2381,s646,s2604,s2082,s1973,s2104,s3415,s2401,s3285,s919,s3409,s1593,s2296,s2452,s3413,s931,s3272,s1961,s3411,s860,s46,s141,s288,s431]) ).
cnf(s3417,plain,
( ~ spl0_7
| spl0_12
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s29,s1554,s1668,s919,s979,s759,s46,s3387,s288]) ).
cnf(s3418,plain,
( ~ spl0_24
| spl0_73
| ~ spl0_103 ),
inference(rat,[],[s1337,s218,s3387]) ).
cnf(s3419,plain,
( ~ spl0_71
| ~ spl0_157
| ~ spl0_103
| spl0_12
| ~ spl0_39 ),
inference(rat,[],[s29,s1554,s1668,s1360,s369,s3387,s288]) ).
cnf(s3420,plain,
( spl0_73
| spl0_71
| ~ spl0_103
| ~ spl0_17 ),
inference(rat,[],[s20,s384,s3418]) ).
cnf(s3421,plain,
( ~ spl0_198
| ~ spl0_30
| ~ spl0_236
| spl0_404
| spl0_279
| ~ spl0_73
| ~ spl0_103 ),
inference(rat,[],[s646,s1138,s2738,s3024,s707,s2428,s2924,s141]) ).
cnf(s3422,plain,
( ~ spl0_276
| ~ spl0_249
| spl0_109
| spl0_404
| spl0_279
| ~ spl0_73
| ~ spl0_103
| spl0_31
| spl0_7
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s1138,s646,s3106,s2563,s2474,s1250,s931,s2757,s2594,s2487,s642,s3421,s26,s16,s1229,s1000,s46,s2913,s2340,s1233,s141,s677,s3385]) ).
cnf(s3424,plain,
( ~ spl0_198
| ~ spl0_226
| ~ spl0_228
| spl0_404
| spl0_279
| ~ spl0_73
| ~ spl0_103
| spl0_7
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s2738,s646,s707,s3398,s2924,s141]) ).
cnf(s3425,plain,
( ~ spl0_226
| ~ spl0_228
| ~ spl0_249
| spl0_109
| spl0_404
| spl0_279
| ~ spl0_73
| ~ spl0_103
| spl0_7
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s2577,s3032,s3106,s643,s2474,s2598,s931,s2594,s2487,s642,s3424,s46,s677,s141]) ).
cnf(s3426,plain,
( spl0_109
| spl0_279
| ~ spl0_103
| ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s1424,s2194,s3092,s1418,s3144,s3425,s998,s3422,s2601,s828,s2882,s3420,s3419,s46,s10,s2790,s2340,s3417,s3416,s1233,s100,s677,s141,s3385]) ).
cnf(s3427,plain,
( ~ spl0_220
| ~ spl0_108
| spl0_279
| ~ spl0_73
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s3092,s2148,s1418,s677]) ).
cnf(s3428,plain,
( ~ spl0_236
| spl0_220
| ~ spl0_74
| ~ spl0_30
| spl0_268
| spl0_279
| ~ spl0_73
| ~ spl0_66
| ~ spl0_103
| ~ spl0_3
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s643,s2670,s1362,s723,s1138,s646,s2563,s1250,s1607,s3087,s1355,s1529,s642,s3421,s1233,s2790,s100,s3025,s141]) ).
cnf(s3429,plain,
( spl0_279
| ~ spl0_103
| ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s2599,s3012,s2910,s3089,s645,s1102,s998,s1000,s3428,s2699,s3010,s3025,s3144,s3427,s1691,s2732,s2128,s1554,s20,s29,s26,s1337,s1667,s16,s982,s623,s3426,s2340,s3095,s30,s2882,s1659,s887,s3417,s226,s3420,s3419,s1233,s46,s10,s3416,s3385,s141,s1320,s288,s3387]) ).
cnf(s3430,plain,
( spl0_208
| ~ spl0_206
| spl0_223
| spl0_276
| ~ spl0_103
| spl0_7
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s3106,s2577,s2561,s3032,s931,s643,s2594,s1470,s3353,s707,s46,s1472,s1067,s677,s141]) ).
cnf(s3431,plain,
( ~ spl0_220
| ~ spl0_249
| ~ spl0_279
| ~ spl0_73
| ~ spl0_103
| spl0_7
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s2594,s2654,s2487,s2561,s642,s723,s2924,s1251,s3430,s646,s2381,s1418,s2392,s46,s2104,s1659,s887,s431,s141,s3385]) ).
cnf(s3432,plain,
( ~ spl0_198
| ~ spl0_226
| spl0_276
| ~ spl0_73
| ~ spl0_103
| spl0_7
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s643,s1064,s2598,s3430,s2594,s646,s3353,s3398,s2924,s46,s998,s141]) ).
cnf(s3433,plain,
( spl0_109
| ~ spl0_279
| ~ spl0_73
| ~ spl0_103
| spl0_7
| ~ spl0_17
| ~ spl0_26
| spl0_78 ),
inference(rat,[],[s2577,s3032,s3106,s643,s2474,s2598,s931,s2594,s2487,s642,s3432,s3144,s3431,s828,s100,s46,s998,s2104,s1659,s887,s677,s141,s3385]) ).
cnf(s3434,plain,
( ~ spl0_220
| ~ spl0_21
| ~ spl0_108
| ~ spl0_279
| ~ spl0_73
| ~ spl0_103
| ~ spl0_3
| ~ spl0_26
| ~ spl0_43
| ~ spl0_68 ),
inference(rat,[],[s642,s2428,s1643,s2569,s646,s3147,s2783,s1423,s1644,s2381,s1431,s2148,s1418,s2392,s141,s1091]) ).
cnf(s3435,plain,
( ~ spl0_103
| ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s2599,s3012,s2910,s3089,s645,s2699,s1102,s3010,s3025,s3144,s3434,s2732,s1554,s20,s29,s26,s1337,s1667,s16,s982,s623,s3433,s998,s2104,s3429,s3420,s3419,s1233,s100,s46,s10,s3095,s30,s2882,s1659,s887,s3417,s3416,s3385,s141,s1320,s288,s3387]) ).
cnf(s3436,plain,
( ~ spl0_26
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s2654,s2594,s2474,s2487,s723,s828,s3349,s982,s642,s1668,s1416,s3410,s5,s336,s1346,s2452,s632,s3435,s30,s873,s3417,s10,s3416,s46,s100,s431,s141,s3385,s288]) ).
cnf(s3437,plain,
( spl0_279
| spl0_223
| ~ spl0_71
| ~ spl0_12
| spl0_26
| spl0_78 ),
inference(rat,[],[s623,s3278,s3273,s44,s368]) ).
cnf(s3438,plain,
( spl0_73
| ~ spl0_12
| ~ spl0_103
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s2412,s1886,s2733,s3404,s1208,s3437,s2998,s643,s1581,s2596,s904,s2080,s1565,s1889,s3285,s1592,s37,s16,s1438,s1729,s2401,s71,s3272,s1360,s369,s368,s1900,s2823,s994,s3436,s1233,s860,s141,s431,s1091,s677,s3385,s288,s3387]) ).
cnf(s3439,plain,
( spl0_279
| ~ spl0_23
| ~ spl0_65
| spl0_301
| ~ spl0_21
| spl0_7
| ~ spl0_12
| ~ spl0_157
| ~ spl0_43
| ~ spl0_68 ),
inference(rat,[],[s1431,s2194,s3010,s3108,s2383,s2910,s2674,s644,s645,s1548,s2531,s1631,s2558,s2481,s2340,s2732,s860,s349,s3095,s3385,s1024,s141,s1091,s1320]) ).
cnf(s3440,plain,
( ~ spl0_198
| spl0_223
| spl0_285
| ~ spl0_73
| ~ spl0_103
| spl0_78 ),
inference(rat,[],[s3032,s2960,s643,s646,s1470,s895,s2734,s3353,s707,s2428,s2924,s1130,s2250,s2913,s1067,s141,s3387,s677]) ).
cnf(s3441,plain,
( ~ spl0_260
| ~ spl0_21
| ~ spl0_238
| ~ spl0_37 ),
inference(rat,[],[s2731,s1277,s349,s810]) ).
cnf(s3442,plain,
( ~ spl0_12
| ~ spl0_103
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s3405,s3353,s3440,s2924,s642,s3262,s931,s3441,s1660,s2699,s2910,s2383,s2678,s644,s645,s2855,s2712,s1727,s998,s2190,s2104,s3439,s36,s226,s312,s2732,s349,s1360,s829,s2926,s2187,s1438,s3095,s2319,s2250,s770,s2913,s3438,s860,s100,s44,s3436,s1233,s141,s3387,s3385,s1320,s288]) ).
cnf(s3443,plain,
( ~ spl0_103
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s1360,s1900,s1554,s2913,s29,s2250,s1667,s2025,s317,s2416,s1941,s3442,s1233,s3436,s288,s3387]) ).
cnf(s3444,plain,
( spl0_279
| ~ spl0_71
| ~ spl0_7
| ~ spl0_12
| spl0_26
| spl0_78 ),
inference(rat,[],[s1000,s3279,s2264,s3437,s16,s863,s860,s368,s3018,s677]) ).
cnf(s3445,plain,
( spl0_73
| ~ spl0_7
| ~ spl0_12
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s3001,s646,s1208,s2561,s2733,s723,s2412,s642,s1477,s3404,s2104,s3444,s931,s3272,s368,s1900,s2823,s357,s3436,s814,s3443,s860,s1870,s141,s431,s288,s3387]) ).
cnf(s3446,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s1961,s368,s267,s26,s2007,s2319,s770,s3445,s16,s863,s3443,s860,s141,s431]) ).
cnf(s3447,plain,
( ~ spl0_12
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s3262,s829,s642,s2319,s3410,s931,s770,s336,s3441,s349,s2296,s30,s1438,s3095,s3446,s860,s100,s3436,s632,s3443,s141,s3385]) ).
cnf(s3448,plain,
( spl0_73
| ~ spl0_7
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s1973,s1187,s3068,s1000,s3320,s3324,s1832,s3147,s764,s729,s368,s3042,s1900,s2823,s2416,s2319,s613,s3447,s3436,s759,s810,s1024,s677,s288]) ).
cnf(s3449,plain,
( spl0_71
| ~ spl0_108
| ~ spl0_7
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s1890,s2774,s3340,s2128,s642,s2401,s3152,s37,s330,s267,s599,s100,s44,s994,s3443,s2416,s759,s2044,s3448,s1941,s3447,s3436,s3387,s141,s288]) ).
cnf(s3450,plain,
( spl0_279
| ~ spl0_71
| ~ spl0_39
| ~ spl0_382
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s642,s826,s3341,s3325,s2481,s2783,s3278,s1058,s1440,s2416,s623,s613,s3447,s3436,s141,s1091,s288]) ).
cnf(s3451,plain,
( ~ spl0_198
| ~ spl0_225
| ~ spl0_279
| ~ spl0_71
| ~ spl0_82
| ~ spl0_239
| ~ spl0_109
| ~ spl0_15
| ~ spl0_17 ),
inference(rat,[],[s643,s1365,s1064,s1404,s3321,s826,s3068,s1973,s141,s1024]) ).
cnf(s3452,plain,
( spl0_256
| ~ spl0_197
| ~ spl0_239
| ~ spl0_7
| ~ spl0_15
| ~ spl0_68 ),
inference(rat,[],[s1890,s3340,s2774,s3387]) ).
cnf(s3453,plain,
( ~ spl0_39
| ~ spl0_7
| ~ spl0_43
| spl0_78 ),
inference(rat,[],[s29,s1667,s1554,s1212,s2128,s1656,s3452,s642,s3451,s3147,s1063,s3450,s3449,s623,s100,s10,s2416,s613,s759,s2913,s2044,s3448,s1941,s3447,s3436,s3387,s288,s141]) ).
cnf(s3454,plain,
( spl0_39
| spl0_103
| spl0_35 ),
inference(rat,[],[s37,s2401,s267,s349,s368,s288]) ).
cnf(s3455,plain,
( ~ spl0_43
| spl0_78 ),
inference(rat,[],[s982,s1701,s3453,s3454,s613,s3447,s3443,s994,s3436,s3387,s288,s3385]) ).
cnf(s3456,plain,
spl0_78,
inference(rat,[],[s1726,s324,s3025,s2971,s1667,s26,s5,s3368,s1346,s2296,s30,s16,s632,s54,s64,s340,s355,s1557,s3455]) ).
cnf(s3457,plain,
spl0_382,
inference(rat,[],[s2719,s3456]) ).
cnf(s3458,plain,
( ~ spl0_12
| ~ spl0_7 ),
inference(rat,[],[s3024,s1526,s2138,s1477,s642,s3289,s95,s357,s1067,s1961,s3285,s267,s26,s16,s2007,s863,s1483,s860,s814,s3454,s994,s3332,s2250,s141,s3456,s431,s3457,s3387]) ).
cnf(s3459,plain,
( ~ spl0_244
| ~ spl0_239
| ~ spl0_7 ),
inference(rat,[],[s642,s3340,s1282,s912,s2416,s3458,s3332,s141,s3456]) ).
cnf(s3460,plain,
( ~ spl0_151
| ~ spl0_56
| spl0_244
| spl0_256
| ~ spl0_7 ),
inference(rat,[],[s1173,s643,s645,s1365,s1104,s3147,s2783,s1924,s1063,s1326,s2481,s2023,s3335,s2369,s1180,s646,s642,s2602,s2267,s2416,s3458,s3332,s3068,s946,s904,s907,s1091,s141,s3456,s431,s1024,s810]) ).
cnf(s3461,plain,
( spl0_71
| ~ spl0_7
| ~ spl0_43 ),
inference(rat,[],[s642,s1180,s1953,s2733,s723,s1492,s2768,s3460,s872,s2401,s37,s267,s912,s23,s1549,s3458,s3454,s994,s2250,s3332,s761,s3459,s759,s141,s3456,s431,s810,s288,s3457,s3387]) ).
cnf(s3462,plain,
( ~ spl0_198
| ~ spl0_108
| spl0_244
| spl0_26 ),
inference(rat,[],[s830,s1180,s431,s3456]) ).
cnf(s3463,plain,
( ~ spl0_7
| ~ spl0_43 ),
inference(rat,[],[s1173,s645,s643,s1181,s1104,s2608,s646,s2783,s2563,s2481,s1326,s1272,s3341,s642,s3462,s1250,s1954,s2050,s2165,s3461,s2418,s3459,s2416,s1941,s3458,s3454,s994,s3332,s2250,s759,s3457,s3387,s431,s3456,s141,s1091]) ).
cnf(s3464,plain,
( ~ spl0_103
| ~ spl0_198
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s2104,s2340,s2083,s2566,s2681,s1581,s643,s1250,s931,s3032,s2757,s2594,s3358,s1233,s46,s226,s2270,s2926,s1483,s1659,s887,s3463,s2755,s3385,s141,s3457,s3456,s288]) ).
cnf(s3465,plain,
( ~ spl0_244
| ~ spl0_226
| ~ spl0_228
| spl0_386
| ~ spl0_26 ),
inference(rat,[],[s643,s2598,s3032,s2594,s46,s141]) ).
cnf(s3466,plain,
( ~ spl0_35
| ~ spl0_199
| ~ spl0_205
| spl0_212
| spl0_220 ),
inference(rat,[],[s3074,s2982,s2979,s677,s810,s845,s1024]) ).
cnf(s3467,plain,
( spl0_279
| ~ spl0_198
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s2383,s3053,s645,s1102,s2732,s2401,s37,s3466,s3108,s2194,s3109,s643,s2598,s646,s1185,s1284,s2744,s1285,s3465,s3144,s1207,s3095,s2755,s1180,s71,s46,s998,s1228,s16,s26,s267,s2270,s2007,s3464,s1483,s1659,s887,s3463,s1091,s141,s1320,s288,s3385,s3456,s431,s3457]) ).
cnf(s3468,plain,
( ~ spl0_244
| spl0_276
| spl0_386
| ~ spl0_26 ),
inference(rat,[],[s2681,s2083,s643,s931,s3032,s2757,s2594,s46,s226,s2270,s141,s3457]) ).
cnf(s3469,plain,
( ~ spl0_198
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s2383,s3053,s645,s1102,s2732,s2401,s37,s3466,s643,s2598,s3144,s2392,s2381,s646,s2561,s723,s931,s1185,s1284,s1285,s3468,s3467,s998,s71,s1228,s16,s26,s2007,s267,s3464,s1180,s2755,s3095,s46,s2270,s1483,s1659,s887,s3463,s1091,s141,s1320,s288,s3385,s431,s3456,s3457]) ).
cnf(s3470,plain,
( ~ spl0_244
| spl0_279
| ~ spl0_197
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s26,s2007,s267,s1233,s2340,s2566,s16,s1581,s1229,s643,s3468,s3032,s2577,s3106,s2474,s1250,s931,s2757,s2594,s46,s2270,s2926,s1483,s1659,s887,s3463,s141,s431,s3385,s677,s3457,s288,s3456]) ).
cnf(s3471,plain,
( spl0_260
| ~ spl0_157
| spl0_244
| spl0_279
| ~ spl0_197
| ~ spl0_12
| ~ spl0_26
| spl0_7 ),
inference(rat,[],[s26,s16,s3400,s71,s2006,s3109,s1185,s1000,s1285,s1138,s1526,s3106,s643,s2474,s1581,s931,s46,s2566,s2926,s1483,s1659,s887,s646,s2563,s1250,s2119,s2340,s845,s1024,s677,s141,s3385,s288,s3456]) ).
cnf(s3472,plain,
( ~ spl0_200
| ~ spl0_262
| spl0_253
| spl0_244
| spl0_279 ),
inference(rat,[],[s1419,s357,s2783,s2191,s2608,s2683,s2681,s1237,s761,s3456,s1091]) ).
cnf(s3473,plain,
( ~ spl0_157
| spl0_279
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s1138,s1000,s3466,s2006,s37,s26,s3400,s3109,s1285,s2261,s2259,s2164,s643,s3472,s2401,s16,s3441,s1284,s3471,s646,s2563,s1250,s2481,s2119,s2340,s3095,s46,s1659,s887,s3463,s3470,s642,s3469,s845,s1024,s810,s141,s288,s3385,s1091]) ).
cnf(s3474,plain,
( spl0_279
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s2474,s723,s931,s1185,s1284,s71,s16,s2768,s26,s1933,s2007,s267,s1233,s3473,s761,s3470,s3,s46,s2270,s1483,s1659,s887,s3463,s642,s3469,s3385,s810,s141,s431,s3456,s3457]) ).
cnf(s3475,plain,
( ~ spl0_244
| spl0_276
| ~ spl0_197
| spl0_109
| ~ spl0_26 ),
inference(rat,[],[s723,s2474,s2577,s931,s3468,s2594,s46]) ).
cnf(s3476,plain,
( ~ spl0_258
| spl0_253
| ~ spl0_279
| ~ spl0_197
| ~ spl0_12
| ~ spl0_26
| spl0_7 ),
inference(rat,[],[s2734,s646,s1067,s2381,s1726,s2392,s3025,s26,s16,s71,s2006,s1660,s1185,s3109,s1285,s643,s1526,s2681,s3106,s2083,s2474,s46,s226,s2270,s3475,s2104,s1483,s1659,s887,s141,s845,s1024,s3387,s677,s3456,s3385,s3457]) ).
cnf(s3477,plain,
( ~ spl0_200
| ~ spl0_103
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s2898,s1587,s2809,s2185,s2689,s1789,s1365,s3068,s2679,s1273,s2698,s2821,s2563,s644,s646,s1423,s2678,s2381,s1726,s2392,s3025,s26,s2006,s3147,s2876,s2718,s2783,s1995,s2681,s30,s46,s2473,s998,s1250,s16,s1284,s2654,s3476,s2119,s1233,s3475,s2104,s3474,s642,s3469,s1483,s1659,s887,s3463,s845,s1091,s1024,s141,s3456,s3385,s431]) ).
cnf(s3478,plain,
( spl0_30
| ~ spl0_199
| ~ spl0_20
| ~ spl0_19
| spl0_244
| spl0_276
| ~ spl0_12
| ~ spl0_39
| ~ spl0_43 ),
inference(rat,[],[s1526,s1285,s2982,s3109,s2699,s2006,s37,s26,s3463,s677,s810,s845,s1024]) ).
cnf(s3479,plain,
( ~ spl0_103
| ~ spl0_12
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s2903,s3027,s1285,s3109,s3025,s3478,s2164,s643,s3477,s2401,s16,s3441,s1284,s2654,s3476,s2119,s1233,s3095,s46,s3475,s2104,s3474,s642,s3469,s1483,s1659,s887,s3463,s141,s288,s3385,s431,s3456]) ).
cnf(s3480,plain,
( ~ spl0_12
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s2474,s723,s931,s1185,s1284,s71,s16,s2768,s26,s1933,s2007,s267,s3479,s761,s3475,s2104,s3474,s642,s3469,s3,s46,s2270,s1483,s1659,s887,s3463,s3385,s810,s141,s431,s3456,s3457]) ).
cnf(s3481,plain,
( ~ spl0_244
| spl0_279
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s3242,s26,s1229,s267,s3468,s3464,s2755,s642,s3470,s2270,s2882,s3480,s3463,s3385,s3456,s141,s3457]) ).
cnf(s3482,plain,
( ~ spl0_212
| ~ spl0_73
| spl0_244
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s29,s1554,s1668,s1492,s1185,s1285,s1251,s3463,s46,s3480,s3387,s288]) ).
cnf(s3483,plain,
( ~ spl0_260
| spl0_244
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s29,s1554,s1667,s3441,s1284,s3095,s1659,s887,s3463,s3480,s3387,s288,s3385]) ).
cnf(s3484,plain,
( ~ spl0_198
| spl0_279
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s3012,s2599,s3089,s3053,s645,s1102,s2732,s1554,s29,s3144,s386,s1418,s1153,s384,s20,s998,s75,s71,s1228,s16,s2194,s26,s3109,s974,s267,s1285,s3464,s1204,s1180,s3095,s46,s1659,s887,s2270,s2882,s3463,s643,s1581,s3483,s2639,s761,s3481,s10,s3480,s1091,s141,s1320,s288,s3387,s3385,s431,s3456,s3457]) ).
cnf(s3485,plain,
( spl0_279
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s71,s1337,s901,s2421,s20,s865,s3420,s384,s3482,s3106,s2474,s642,s3484,s931,s3483,s3481,s30,s46,s2270,s1483,s1659,s887,s3463,s10,s3480,s3387,s431,s677,s141,s3456,s3385,s3457]) ).
cnf(s3486,plain,
( ~ spl0_244
| ~ spl0_26
| spl0_276
| spl0_109 ),
inference(rat,[],[s2755,s642,s3468,s3475,s141,s3456]) ).
cnf(s3487,plain,
( ~ spl0_198
| ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s2383,s3053,s645,s643,s1102,s2598,s2732,s3144,s1554,s2392,s29,s2381,s386,s646,s1153,s2561,s384,s723,s20,s1185,s75,s71,s16,s26,s974,s267,s1285,s3464,s1204,s1180,s3095,s46,s2270,s10,s2882,s3480,s998,s931,s3483,s3486,s2104,s3485,s1483,s1659,s887,s3463,s1091,s141,s1320,s288,s3387,s431,s3456,s3385,s3457]) ).
cnf(s3488,plain,
( ~ spl0_26
| ~ spl0_43 ),
inference(rat,[],[s71,s1337,s901,s2421,s20,s865,s3420,s384,s3482,s3106,s2474,s642,s3487,s931,s3483,s3486,s2104,s3485,s10,s3480,s1483,s2270,s1659,s46,s30,s887,s3463,s3387,s431,s677,s141,s3456,s3457,s3385]) ).
cnf(s3489,plain,
( ~ spl0_198
| ~ spl0_37
| ~ spl0_244
| spl0_279
| ~ spl0_43 ),
inference(rat,[],[s26,s267,s16,s2293,s1229,s1000,s2742,s2007,s1600,s1233,s646,s2340,s2369,s2566,s1581,s643,s3032,s2755,s44,s349,s1250,s2757,s2926,s1483,s931,s3441,s3095,s1438,s3488,s3463,s3385,s141,s431,s3456,s288,s3457]) ).
cnf(s3490,plain,
( spl0_268
| spl0_316
| ~ spl0_197
| ~ spl0_65
| spl0_260
| ~ spl0_244 ),
inference(rat,[],[s2960,s1064,s3032,s643,s1581,s646,s2566,s2563,s1250,s2757,s141,s3457]) ).
cnf(s3491,plain,
( ~ spl0_12
| ~ spl0_244
| spl0_279
| ~ spl0_43 ),
inference(rat,[],[s1190,s3405,s1207,s998,s71,s1228,s16,s1371,s1961,s865,s2470,s2421,s1233,s2340,s3490,s1492,s1500,s3106,s2474,s642,s3489,s931,s2926,s3441,s1483,s860,s3095,s30,s349,s1438,s3488,s3463,s810,s3385,s431,s677,s141,s288,s3456]) ).
cnf(s3492,plain,
( spl0_12
| spl0_279
| ~ spl0_43 ),
inference(rat,[],[s1229,s1187,s1701,s3463,s3488,s3385,s810]) ).
cnf(s3493,plain,
( spl0_208
| spl0_244
| ~ spl0_43 ),
inference(rat,[],[s1492,s2733,s1285,s1438,s3488,s3463,s431,s3385]) ).
cnf(s3494,plain,
( spl0_279
| ~ spl0_43 ),
inference(rat,[],[s2474,s723,s642,s1526,s1180,s3493,s931,s3441,s1483,s3491,s860,s3492,s3095,s349,s1438,s3488,s3463,s141,s3456,s3385]) ).
cnf(s3495,plain,
( ~ spl0_198
| spl0_223
| ~ spl0_65
| spl0_260
| ~ spl0_244 ),
inference(rat,[],[s646,s2369,s1472,s2566,s1470,s1581,s643,s707,s3032,s1180,s2755,s1250,s2757,s1067,s141,s3456,s3457]) ).
cnf(s3496,plain,
( ~ spl0_12
| ~ spl0_244
| ~ spl0_43 ),
inference(rat,[],[s1771,s95,s357,s2190,s707,s3490,s1526,s1500,s3106,s2474,s642,s3495,s3405,s998,s931,s2926,s2104,s3441,s1483,s860,s3095,s349,s1438,s3488,s3463,s3494,s2757,s810,s677,s141,s288,s3456,s3457,s3385]) ).
cnf(s3497,plain,
( ~ spl0_244
| ~ spl0_43 ),
inference(rat,[],[s2608,s2783,s2481,s643,s1326,s1272,s3142,s2416,s1941,s3496,s1208,s2757,s3488,s3494,s1091,s141,s3456,s3457]) ).
cnf(s3498,plain,
~ spl0_43,
inference(rat,[],[s2474,s1483,s723,s642,s860,s1526,s1180,s2418,s931,s3493,s2731,s3497,s349,s1438,s3488,s3095,s3463,s3456,s141,s431,s810,s3385]) ).
cnf(s3499,plain,
~ spl0_219,
inference(rat,[],[s1557,s3498]) ).
cnf(s3500,plain,
~ spl0_216,
inference(rat,[],[s1525,s3498]) ).
cnf(s3502,plain,
~ spl0_103,
inference(rat,[],[s355,s3498]) ).
cnf(s3503,plain,
~ spl0_13,
inference(rat,[],[s340,s3498]) ).
cnf(s3504,plain,
~ spl0_38,
inference(rat,[],[s64,s3498]) ).
cnf(s3505,plain,
~ spl0_7,
inference(rat,[],[s54,s3498]) ).
cnf(s3507,plain,
spl0_225,
inference(rat,[],[s3147,s3499]) ).
cnf(s3510,plain,
spl0_151,
inference(rat,[],[s2768,s810,s3500]) ).
cnf(s3519,plain,
spl0_19,
inference(rat,[],[s16,s3503]) ).
cnf(s3522,plain,
~ spl0_60,
inference(rat,[],[s2025,s3505,s3503]) ).
cnf(s3532,plain,
spl0_3,
inference(rat,[],[s30,s3505]) ).
cnf(s3533,plain,
spl0_6,
inference(rat,[],[s3,s3505]) ).
cnf(s3535,plain,
( spl0_279
| ~ spl0_244 ),
inference(rat,[],[s643,s1064,s700,s2194,s1237,s141,s3533,s3500,s3507,s3505,s3499]) ).
cnf(s3536,plain,
( ~ spl0_12
| ~ spl0_244 ),
inference(rat,[],[s2971,s3405,s5,s324,s3241,s26,s3486,s998,s2007,s2104,s1277,s1483,s860,s3535,s3499,s3532,s3504,s3503,s3519,s141,s431,s3502,s3456]) ).
cnf(s3537,plain,
spl0_12,
inference(rat,[],[s267,s26,s2270,s2882,s1941,s3502,s3519,s3457,s3505,s3522]) ).
cnf(s3539,plain,
~ spl0_244,
inference(rat,[],[s3536,s3537]) ).
cnf(s3542,plain,
spl0_207,
inference(rat,[],[s761,s3539]) ).
cnf(s3543,plain,
spl0_208,
inference(rat,[],[s1285,s3500,s3505,s3539]) ).
cnf(s3547,plain,
~ spl0_197,
inference(rat,[],[s1933,s3502,s3510,s3533,s3542]) ).
cnf(s3548,plain,
~ spl0_198,
inference(rat,[],[s1180,s3456,s3543]) ).
cnf(s3552,plain,
$false,
inference(rat,[],[s642,s141,s3548,s3547]) ).
thf(f30422,plain,
$false,
inference(avatar_sat_refutation,[],[s3552]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA128^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n018.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Tue Sep 29 19:04:11 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.28 Running higher-order theorem proving
% 0.21/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.58/0.46 % (498243)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.58/0.46 % (498250)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2860962787:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.58/0.46 % (498253)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=598937233:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.58/0.46 % (498250)Instruction limit reached!
% 0.58/0.46 % (498250)------------------------------
% 0.58/0.46 % (498250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (498250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (498250)CaDiCaL version: 2.1.3
% 0.58/0.46 % (498250)Termination reason: Instruction limit
% 0.58/0.46 % (498250)Termination phase: Saturation
% 0.58/0.46 % (498250)Time elapsed: 0.005 s
% 0.58/0.46 % (498250)Peak memory usage: 12 MB
% 0.58/0.46 % (498250)Instructions burned: 9 (million)
% 0.58/0.46 % (498254)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.58/0.46 % (498254)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.58/0.46 % (498248)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1197895256:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.58/0.46 % (498249)lrs+10_16_si=on:nwc=1.5:random_seed=2031517551:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.58/0.46 % (498251)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=3747521186:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.58/0.46 % (498252)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1225914456:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.58/0.46 % (498254)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=3894452354:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.58/0.46 % (498257)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=364140476:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.58/0.46 % (498257)Instruction limit reached!
% 0.58/0.46 % (498257)------------------------------
% 0.58/0.46 % (498257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (498257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (498257)CaDiCaL version: 2.1.3
% 0.58/0.46 % (498257)Termination reason: Instruction limit
% 0.58/0.46 % (498257)Termination phase: Saturation
% 0.58/0.46 % (498257)Time elapsed: 0.002 s
% 0.58/0.46 % (498257)Peak memory usage: 12 MB
% 0.58/0.46 % (498257)Instructions burned: 2 (million)
% 0.58/0.46 % (498249)Instruction limit reached!
% 0.58/0.46 % (498249)------------------------------
% 0.58/0.46 % (498249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (498249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (498249)CaDiCaL version: 2.1.3
% 0.58/0.46 % (498249)Termination reason: Instruction limit
% 0.58/0.46 % (498249)Termination phase: Saturation
% 0.58/0.46 % (498249)Time elapsed: 0.015 s
% 0.58/0.46 % (498249)Peak memory usage: 12 MB
% 0.58/0.46 % (498249)Instructions burned: 18 (million)
% 0.58/0.46 % (498252)Instruction limit reached!
% 0.58/0.46 % (498252)------------------------------
% 0.58/0.46 % (498252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.46 % (498252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.46 % (498252)CaDiCaL version: 2.1.3
% 0.58/0.46 % (498252)Termination reason: Instruction limit
% 0.58/0.46 % (498252)Termination phase: Saturation
% 0.58/0.46 % (498252)Time elapsed: 0.020 s
% 0.58/0.46 % (498252)Peak memory usage: 12 MB
% 0.58/0.46 % (498252)Instructions burned: 25 (million)
% 0.58/0.46 % (498264)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2735158872:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.58/0.46 % (498264)Instruction limit reached!
% 1.32/0.50 % (498264)------------------------------
% 1.32/0.50 % (498264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.50 % (498264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.50 % (498264)CaDiCaL version: 2.1.3
% 1.32/0.50 % (498264)Termination reason: Instruction limit
% 1.32/0.50 % (498264)Termination phase: Saturation
% 1.32/0.50 % (498264)Time elapsed: 0.003 s
% 1.32/0.50 % (498264)Peak memory usage: 12 MB
% 1.32/0.50 % (498264)Instructions burned: 5 (million)
% 1.32/0.50 % (498265)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.32/0.50 % (498265)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1820961588:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.32/0.50 % (498268)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
% 1.32/0.50 % (498268)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.32/0.50 % (498268)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1853356469:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.32/0.50 % (498266)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3129934417:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.32/0.50 % (498265)Instruction limit reached!
% 1.32/0.50 % (498265)------------------------------
% 1.32/0.50 % (498265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.50 % (498265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.50 % (498265)CaDiCaL version: 2.1.3
% 1.32/0.50 % (498265)Termination reason: Instruction limit
% 1.32/0.50 % (498265)Termination phase: Saturation
% 1.32/0.50 % (498265)Time elapsed: 0.008 s
% 1.32/0.50 % (498265)Peak memory usage: 12 MB
% 1.32/0.50 % (498265)Instructions burned: 8 (million)
% 1.32/0.50 % (498253)Instruction limit reached!
% 1.32/0.50 % (498253)------------------------------
% 1.32/0.50 % (498253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.50 % (498253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.50 % (498253)CaDiCaL version: 2.1.3
% 1.32/0.50 % (498253)Termination reason: Instruction limit
% 1.32/0.50 % (498253)Termination phase: Saturation
% 1.32/0.50 % (498253)Time elapsed: 0.064 s
% 1.32/0.50 % (498253)Peak memory usage: 12 MB
% 1.32/0.50 % (498253)Instructions burned: 76 (million)
% 1.32/0.50 % (498248)Instruction limit reached!
% 1.32/0.50 % (498248)------------------------------
% 1.32/0.50 % (498248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.50 % (498248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.50 % (498248)CaDiCaL version: 2.1.3
% 1.32/0.50 % (498248)Termination reason: Instruction limit
% 1.32/0.50 % (498248)Termination phase: Saturation
% 1.32/0.50 % (498248)Time elapsed: 0.062 s
% 1.32/0.50 % (498248)Peak memory usage: 12 MB
% 1.32/0.50 % (498248)Instructions burned: 88 (million)
% 1.32/0.50 % (498266)Instruction limit reached!
% 1.32/0.50 % (498266)------------------------------
% 1.32/0.50 % (498266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.50 % (498266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.50 % (498266)CaDiCaL version: 2.1.3
% 1.32/0.50 % (498266)Termination reason: Instruction limit
% 1.32/0.50 % (498266)Termination phase: Saturation
% 1.32/0.50 % (498266)Time elapsed: 0.012 s
% 1.32/0.50 % (498266)Peak memory usage: 12 MB
% 1.32/0.50 % (498266)Instructions burned: 12 (million)
% 1.32/0.50 % (498268)Instruction limit reached!
% 1.32/0.50 % (498268)------------------------------
% 1.32/0.50 % (498268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.50 % (498268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.50 % (498268)CaDiCaL version: 2.1.3
% 1.32/0.50 % (498268)Termination reason: Instruction limit
% 1.32/0.50 % (498268)Termination phase: Saturation
% 1.32/0.50 % (498268)Time elapsed: 0.014 s
% 1.32/0.50 % (498268)Peak memory usage: 12 MB
% 1.32/0.50 % (498268)Instructions burned: 28 (million)
% 1.32/0.55 % (498274)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.32/0.55 % (498274)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=2850836843:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.32/0.55 % (498274)Instruction limit reached!
% 1.32/0.55 % (498274)------------------------------
% 1.32/0.55 % (498274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.55 % (498274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.55 % (498274)CaDiCaL version: 2.1.3
% 1.32/0.55 % (498274)Termination reason: Instruction limit
% 1.32/0.55 % (498274)Termination phase: Saturation
% 1.32/0.55 % (498274)Time elapsed: 0.002 s
% 1.32/0.55 % (498274)Peak memory usage: 11 MB
% 1.32/0.55 % (498274)Instructions burned: 3 (million)
% 1.32/0.55 % (498272)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=3178348705:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.32/0.55 % (498276)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4191754072:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.32/0.55 % (498276)Refutation not found, incomplete strategy
% 1.32/0.55 % (498276)------------------------------
% 1.32/0.55 % (498276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.55 % (498276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.55 % (498276)CaDiCaL version: 2.1.3
% 1.32/0.55 % (498276)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.55 % (498276)Time elapsed: 0.0000 s
% 1.32/0.55 % (498276)Peak memory usage: 11 MB
% 1.32/0.55 % (498276)------------------------------
% 1.32/0.55 % (498276)------------------------------
% 1.32/0.55 % (498273)lrs+10_1_si=on:cs=on:random_seed=1068301618:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.32/0.55 % (498273)Instruction limit reached!
% 1.32/0.55 % (498273)------------------------------
% 1.32/0.55 % (498273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.55 % (498273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.55 % (498273)CaDiCaL version: 2.1.3
% 1.32/0.55 % (498273)Termination reason: Instruction limit
% 1.32/0.55 % (498273)Termination phase: Saturation
% 1.32/0.55 % (498273)Time elapsed: 0.008 s
% 1.32/0.55 % (498273)Peak memory usage: 12 MB
% 1.32/0.55 % (498273)Instructions burned: 8 (million)
% 1.32/0.55 % (498275)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4278357259:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.32/0.55 % (498275)Refutation not found, incomplete strategy
% 1.32/0.55 % (498275)------------------------------
% 1.32/0.55 % (498275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.55 % (498275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.55 % (498275)CaDiCaL version: 2.1.3
% 1.32/0.55 % (498275)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.55 % (498275)Time elapsed: 0.001 s
% 1.32/0.55 % (498275)Peak memory usage: 11 MB
% 1.32/0.55 % (498275)------------------------------
% 1.32/0.55 % (498275)------------------------------
% 1.32/0.55 % (498281)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=492489720:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.32/0.55 % (498254)Instruction limit reached!
% 1.32/0.55 % (498254)------------------------------
% 1.32/0.55 % (498254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.55 % (498254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.55 % (498254)CaDiCaL version: 2.1.3
% 1.32/0.55 % (498254)Termination reason: Instruction limit
% 1.32/0.55 % (498254)Termination phase: Saturation
% 1.32/0.55 % (498254)Time elapsed: 0.110 s
% 1.32/0.55 % (498254)Peak memory usage: 12 MB
% 1.32/0.55 % (498254)Instructions burned: 157 (million)
% 1.32/0.55 % (498283)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2532443430:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.32/0.55 % (498279)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3516321095:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 2.04/0.61 % (498283)Refutation not found, incomplete strategy
% 2.04/0.61 % (498283)------------------------------
% 2.04/0.61 % (498283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (498283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.61 % (498283)CaDiCaL version: 2.1.3
% 2.04/0.61 % (498283)Termination reason: Refutation not found, incomplete strategy
% 2.04/0.61 % (498283)Time elapsed: 0.0000 s
% 2.04/0.61 % (498283)Peak memory usage: 11 MB
% 2.04/0.61 % (498283)------------------------------
% 2.04/0.61 % (498283)------------------------------
% 2.04/0.61 % (498279)Refutation not found, incomplete strategy
% 2.04/0.61 % (498279)------------------------------
% 2.04/0.61 % (498279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (498279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.61 % (498279)CaDiCaL version: 2.1.3
% 2.04/0.61 % (498279)Termination reason: Refutation not found, incomplete strategy
% 2.04/0.61 % (498279)Time elapsed: 0.001 s
% 2.04/0.61 % (498279)Peak memory usage: 12 MB
% 2.04/0.61 % (498279)------------------------------
% 2.04/0.61 % (498279)------------------------------
% 2.04/0.61 % (498281)Instruction limit reached!
% 2.04/0.61 % (498281)------------------------------
% 2.04/0.61 % (498281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (498281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.61 % (498281)CaDiCaL version: 2.1.3
% 2.04/0.61 % (498281)Termination reason: Instruction limit
% 2.04/0.61 % (498281)Termination phase: Saturation
% 2.04/0.61 % (498281)Time elapsed: 0.014 s
% 2.04/0.61 % (498281)Peak memory usage: 12 MB
% 2.04/0.61 % (498281)Instructions burned: 14 (million)
% 2.04/0.61 % (498285)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2196864688:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.04/0.61 % (498289)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2914755148: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)
% 2.04/0.61 % (498289)Refutation not found, incomplete strategy
% 2.04/0.61 % (498289)------------------------------
% 2.04/0.61 % (498289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (498289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.61 % (498289)CaDiCaL version: 2.1.3
% 2.04/0.61 % (498289)Termination reason: Refutation not found, incomplete strategy
% 2.04/0.61 % (498289)Time elapsed: 0.0000 s
% 2.04/0.61 % (498289)Peak memory usage: 11 MB
% 2.04/0.61 % (498289)------------------------------
% 2.04/0.61 % (498289)------------------------------
% 2.04/0.61 % (498285)Instruction limit reached!
% 2.04/0.61 % (498285)------------------------------
% 2.04/0.61 % (498285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (498285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.61 % (498285)CaDiCaL version: 2.1.3
% 2.04/0.61 % (498285)Termination reason: Instruction limit
% 2.04/0.61 % (498285)Termination phase: Saturation
% 2.04/0.61 % (498285)Time elapsed: 0.014 s
% 2.04/0.61 % (498285)Peak memory usage: 12 MB
% 2.04/0.61 % (498285)Instructions burned: 14 (million)
% 2.04/0.61 % (498291)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=558757407:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.04/0.61 % (498290)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1530049324:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.04/0.61 % (498295)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
% 2.04/0.61 % (498295)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.04/0.61 % (498272)Instruction limit reached!
% 2.04/0.61 % (498272)------------------------------
% 2.04/0.61 % (498272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.61 % (498272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.64 % (498272)CaDiCaL version: 2.1.3
% 2.04/0.64 % (498272)Termination reason: Instruction limit
% 2.04/0.64 % (498272)Termination phase: Saturation
% 2.04/0.64 % (498272)Time elapsed: 0.070 s
% 2.04/0.64 % (498272)Peak memory usage: 12 MB
% 2.04/0.64 % (498272)Instructions burned: 87 (million)
% 2.04/0.64 % (498295)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=2835657996:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.04/0.64 % (498292)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=318781977:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.04/0.64 % (498295)Instruction limit reached!
% 2.04/0.64 % (498295)------------------------------
% 2.04/0.64 % (498295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.64 % (498295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.64 % (498295)CaDiCaL version: 2.1.3
% 2.04/0.64 % (498295)Termination reason: Instruction limit
% 2.04/0.64 % (498295)Termination phase: Saturation
% 2.04/0.64 % (498295)Time elapsed: 0.008 s
% 2.04/0.64 % (498295)Peak memory usage: 12 MB
% 2.04/0.64 % (498295)Instructions burned: 16 (million)
% 2.04/0.64 % (498291)Instruction limit reached!
% 2.04/0.64 % (498291)------------------------------
% 2.04/0.64 % (498291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.64 % (498291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.64 % (498291)CaDiCaL version: 2.1.3
% 2.04/0.64 % (498291)Termination reason: Instruction limit
% 2.04/0.64 % (498291)Termination phase: Saturation
% 2.04/0.64 % (498291)Time elapsed: 0.017 s
% 2.04/0.64 % (498291)Peak memory usage: 12 MB
% 2.04/0.64 % (498291)Instructions burned: 23 (million)
% 2.04/0.64 % (498290)Instruction limit reached!
% 2.04/0.64 % (498290)------------------------------
% 2.04/0.64 % (498290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.64 % (498290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.64 % (498290)CaDiCaL version: 2.1.3
% 2.04/0.64 % (498290)Termination reason: Instruction limit
% 2.04/0.64 % (498290)Termination phase: Saturation
% 2.04/0.64 % (498290)Time elapsed: 0.023 s
% 2.04/0.64 % (498290)Peak memory usage: 12 MB
% 2.04/0.64 % (498290)Instructions burned: 26 (million)
% 2.04/0.64 % (498300)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=195639944:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.04/0.64 % (498296)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.04/0.64 % (498296)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=3259584810:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.04/0.64 % (498300)Instruction limit reached!
% 2.04/0.64 % (498300)------------------------------
% 2.04/0.64 % (498300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.64 % (498296)Instruction limit reached!
% 2.04/0.64 % (498296)------------------------------
% 2.04/0.64 % (498296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.64 % (498300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.64 % (498296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.64 % (498296)CaDiCaL version: 2.1.3
% 2.04/0.64 % (498300)CaDiCaL version: 2.1.3
% 2.04/0.64 % (498296)Termination reason: Instruction limit
% 2.04/0.64 % (498296)Termination phase: Saturation
% 2.04/0.64 % (498300)Termination reason: Instruction limit
% 2.04/0.64 % (498300)Termination phase: Saturation
% 2.04/0.64 % (498296)Time elapsed: 0.009 s
% 2.04/0.64 % (498300)Time elapsed: 0.015 s
% 2.04/0.64 % (498296)Peak memory usage: 12 MB
% 2.04/0.64 % (498300)Peak memory usage: 11 MB
% 2.04/0.64 % (498296)Instructions burned: 8 (million)
% 2.04/0.64 % (498300)Instructions burned: 32 (million)
% 2.04/0.64 % (498302)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3796164102:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.04/0.64 % (498302)Instruction limit reached!
% 2.04/0.64 % (498302)------------------------------
% 2.36/0.70 % (498302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.70 % (498302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.70 % (498302)CaDiCaL version: 2.1.3
% 2.36/0.70 % (498302)Termination reason: Instruction limit
% 2.36/0.70 % (498302)Termination phase: Saturation
% 2.36/0.70 % (498302)Time elapsed: 0.009 s
% 2.36/0.70 % (498302)Peak memory usage: 12 MB
% 2.36/0.70 % (498302)Instructions burned: 9 (million)
% 2.36/0.70 % (498292)Instruction limit reached!
% 2.36/0.70 % (498292)------------------------------
% 2.36/0.70 % (498292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.70 % (498292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.70 % (498292)CaDiCaL version: 2.1.3
% 2.36/0.70 % (498292)Termination reason: Instruction limit
% 2.36/0.70 % (498292)Termination phase: Saturation
% 2.36/0.70 % (498292)Time elapsed: 0.045 s
% 2.36/0.70 % (498292)Peak memory usage: 12 MB
% 2.36/0.70 % (498292)Instructions burned: 60 (million)
% 2.36/0.70 % (498303)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=623067847:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.36/0.70 % (498309)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3214039678:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.36/0.70 % (498304)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3543567450:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.36/0.70 % (498307)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=624823591:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.36/0.70 % (498303)Instruction limit reached!
% 2.36/0.70 % (498303)------------------------------
% 2.36/0.70 % (498303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.70 % (498303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.70 % (498303)CaDiCaL version: 2.1.3
% 2.36/0.70 % (498303)Termination reason: Instruction limit
% 2.36/0.70 % (498303)Termination phase: Saturation
% 2.36/0.70 % (498303)Time elapsed: 0.018 s
% 2.36/0.70 % (498303)Peak memory usage: 11 MB
% 2.36/0.70 % (498303)Instructions burned: 23 (million)
% 2.36/0.70 % (498310)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3157233182:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.36/0.70 % (498304)Instruction limit reached!
% 2.36/0.70 % (498304)------------------------------
% 2.36/0.70 % (498304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.70 % (498304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.70 % (498304)CaDiCaL version: 2.1.3
% 2.36/0.70 % (498304)Termination reason: Instruction limit
% 2.36/0.70 % (498304)Termination phase: Saturation
% 2.36/0.70 % (498304)Time elapsed: 0.020 s
% 2.36/0.70 % (498304)Peak memory usage: 12 MB
% 2.36/0.70 % (498304)Instructions burned: 21 (million)
% 2.36/0.70 % (498310)Refutation not found, incomplete strategy
% 2.36/0.70 % (498310)------------------------------
% 2.36/0.70 % (498310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.70 % (498310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.70 % (498310)CaDiCaL version: 2.1.3
% 2.36/0.70 % (498311)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1000416140:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.36/0.70 % (498310)Termination reason: Refutation not found, incomplete strategy
% 2.36/0.70 % (498310)Time elapsed: 0.001 s
% 2.36/0.70 % (498310)Peak memory usage: 11 MB
% 2.36/0.70 % (498310)------------------------------
% 2.36/0.70 % (498310)------------------------------
% 2.36/0.70 % (498316)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.36/0.70 % (498316)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3984571820:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.36/0.70 % (498309)Instruction limit reached!
% 2.36/0.70 % (498309)------------------------------
% 2.36/0.70 % (498309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.70 % (498309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.78 % (498309)CaDiCaL version: 2.1.3
% 2.62/0.78 % (498309)Termination reason: Instruction limit
% 2.62/0.78 % (498309)Termination phase: Saturation
% 2.62/0.78 % (498309)Time elapsed: 0.053 s
% 2.62/0.78 % (498309)Peak memory usage: 13 MB
% 2.62/0.78 % (498309)Instructions burned: 143 (million)
% 2.62/0.78 % (498319)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2509571415:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.62/0.78 % (498319)Refutation not found, incomplete strategy
% 2.62/0.78 % (498319)------------------------------
% 2.62/0.78 % (498319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.78 % (498319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.78 % (498319)CaDiCaL version: 2.1.3
% 2.62/0.78 % (498319)Termination reason: Refutation not found, incomplete strategy
% 2.62/0.78 % (498319)Time elapsed: 0.001 s
% 2.62/0.78 % (498319)Peak memory usage: 11 MB
% 2.62/0.78 % (498311)Instruction limit reached!
% 2.62/0.78 % (498311)------------------------------
% 2.62/0.78 % (498311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.78 % (498311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.78 % (498311)CaDiCaL version: 2.1.3
% 2.62/0.78 % (498311)Termination reason: Instruction limit
% 2.62/0.78 % (498311)Termination phase: Saturation
% 2.62/0.78 % (498311)Time elapsed: 0.032 s
% 2.62/0.78 % (498311)Peak memory usage: 12 MB
% 2.62/0.78 % (498311)Instructions burned: 43 (million)
% 2.62/0.78 % (498319)------------------------------
% 2.62/0.78 % (498319)------------------------------
% 2.62/0.78 % (498316)Instruction limit reached!
% 2.62/0.78 % (498316)------------------------------
% 2.62/0.78 % (498316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.78 % (498316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.78 % (498316)CaDiCaL version: 2.1.3
% 2.62/0.78 % (498316)Termination reason: Instruction limit
% 2.62/0.78 % (498316)Termination phase: Saturation
% 2.62/0.78 % (498316)Time elapsed: 0.008 s
% 2.62/0.78 % (498316)Peak memory usage: 12 MB
% 2.62/0.78 % (498316)Instructions burned: 8 (million)
% 2.62/0.78 % (498320)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=3847022901: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)
% 2.62/0.78 % (498320)Refutation not found, incomplete strategy
% 2.62/0.78 % (498320)------------------------------
% 2.62/0.78 % (498320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.78 % (498320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.78 % (498320)CaDiCaL version: 2.1.3
% 2.62/0.78 % (498320)Termination reason: Refutation not found, incomplete strategy
% 2.62/0.78 % (498320)Time elapsed: 0.001 s
% 2.62/0.78 % (498320)Peak memory usage: 11 MB
% 2.62/0.78 % (498320)------------------------------
% 2.62/0.78 % (498320)------------------------------
% 2.62/0.78 % (498324)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=587181104:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.62/0.78 % (498322)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.62/0.78 % (498326)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=3525671311:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.62/0.78 % (498322)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2836621062:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.62/0.78 % (498322)Refutation not found, incomplete strategy
% 2.62/0.78 % (498322)------------------------------
% 2.62/0.78 % (498322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.78 % (498322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.78 % (498322)CaDiCaL version: 2.1.3
% 2.62/0.78 % (498322)Termination reason: Refutation not found, incomplete strategy
% 2.62/0.78 % (498322)Time elapsed: 0.002 s
% 2.62/0.78 % (498322)Peak memory usage: 11 MB
% 2.62/0.78 % (498322)Instructions burned: 1 (million)
% 2.62/0.78 % (498324)Instruction limit reached!
% 2.94/0.87 % (498324)------------------------------
% 2.94/0.87 % (498324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.87 % (498324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.87 % (498324)CaDiCaL version: 2.1.3
% 2.94/0.87 % (498324)Termination reason: Instruction limit
% 2.94/0.87 % (498324)Termination phase: Saturation
% 2.94/0.87 % (498324)Time elapsed: 0.010 s
% 2.94/0.87 % (498324)Peak memory usage: 12 MB
% 2.94/0.87 % (498324)Instructions burned: 22 (million)
% 2.94/0.87 % (498322)------------------------------
% 2.94/0.87 % (498322)------------------------------
% 2.94/0.87 % (498325)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2829416397:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.94/0.87 % (498325)Refutation not found, incomplete strategy
% 2.94/0.87 % (498325)------------------------------
% 2.94/0.87 % (498325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.87 % (498325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.87 % (498325)CaDiCaL version: 2.1.3
% 2.94/0.87 % (498325)Termination reason: Refutation not found, incomplete strategy
% 2.94/0.87 % (498325)Time elapsed: 0.003 s
% 2.94/0.87 % (498325)Peak memory usage: 12 MB
% 2.94/0.87 % (498325)Instructions burned: 2 (million)
% 2.94/0.87 % (498325)------------------------------
% 2.94/0.87 % (498325)------------------------------
% 2.94/0.87 % (498328)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=3780418495:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.94/0.87 % (498332)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=1593470779:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.94/0.87 % (498336)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1562623457:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.94/0.87 % (498333)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4028177614:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.94/0.87 % (498333)Refutation not found, incomplete strategy
% 2.94/0.87 % (498333)------------------------------
% 2.94/0.87 % (498333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.87 % (498333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.87 % (498333)CaDiCaL version: 2.1.3
% 2.94/0.87 % (498333)Termination reason: Refutation not found, incomplete strategy
% 2.94/0.87 % (498333)Time elapsed: 0.002 s
% 2.94/0.87 % (498333)Peak memory usage: 12 MB
% 2.94/0.87 % (498333)Instructions burned: 1 (million)
% 2.94/0.87 % (498333)------------------------------
% 2.94/0.87 % (498333)------------------------------
% 2.94/0.87 % (498332)Instruction limit reached!
% 2.94/0.87 % (498332)------------------------------
% 2.94/0.87 % (498332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.87 % (498332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.87 % (498332)CaDiCaL version: 2.1.3
% 2.94/0.87 % (498332)Termination reason: Instruction limit
% 2.94/0.87 % (498332)Termination phase: Saturation
% 2.94/0.87 % (498332)Time elapsed: 0.021 s
% 2.94/0.87 % (498332)Peak memory usage: 12 MB
% 2.94/0.87 % (498332)Instructions burned: 47 (million)
% 2.94/0.87 % (498336)Instruction limit reached!
% 2.94/0.87 % (498336)------------------------------
% 2.94/0.87 % (498336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.87 % (498336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.87 % (498336)CaDiCaL version: 2.1.3
% 2.94/0.87 % (498336)Termination reason: Instruction limit
% 2.94/0.87 % (498336)Termination phase: Saturation
% 2.94/0.87 % (498336)Time elapsed: 0.015 s
% 2.94/0.87 % (498336)Peak memory usage: 12 MB
% 2.94/0.87 % (498336)Instructions burned: 22 (million)
% 2.94/0.87 % (498251)Instruction limit reached!
% 2.94/0.87 % (498251)------------------------------
% 2.94/0.87 % (498251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.87 % (498251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.92 % (498251)CaDiCaL version: 2.1.3
% 3.68/0.92 % (498251)Termination reason: Instruction limit
% 3.68/0.92 % (498251)Termination phase: Saturation
% 3.68/0.92 % (498251)Time elapsed: 0.351 s
% 3.68/0.92 % (498251)Peak memory usage: 13 MB
% 3.68/0.92 % (498251)Instructions burned: 634 (million)
% 3.68/0.92 % (498341)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3287947828:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.68/0.92 % (498340)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.68/0.92 % (498342)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=342961625:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.68/0.92 % (498340)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2876143382:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.68/0.92 % (498341)Instruction limit reached!
% 3.68/0.92 % (498341)------------------------------
% 3.68/0.92 % (498341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.92 % (498341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.92 % (498341)CaDiCaL version: 2.1.3
% 3.68/0.92 % (498341)Termination reason: Instruction limit
% 3.68/0.92 % (498341)Termination phase: Saturation
% 3.68/0.92 % (498341)Time elapsed: 0.014 s
% 3.68/0.92 % (498341)Peak memory usage: 12 MB
% 3.68/0.92 % (498341)Instructions burned: 13 (million)
% 3.68/0.92 % (498344)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1261680465:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.68/0.92 % (498342)Instruction limit reached!
% 3.68/0.92 % (498342)------------------------------
% 3.68/0.92 % (498342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.92 % (498342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.92 % (498342)CaDiCaL version: 2.1.3
% 3.68/0.92 % (498342)Termination reason: Instruction limit
% 3.68/0.92 % (498342)Termination phase: Saturation
% 3.68/0.92 % (498342)Time elapsed: 0.027 s
% 3.68/0.92 % (498342)Peak memory usage: 12 MB
% 3.68/0.92 % (498342)Instructions burned: 67 (million)
% 3.68/0.92 % (498344)Refutation not found, incomplete strategy
% 3.68/0.92 % (498344)------------------------------
% 3.68/0.92 % (498344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.92 % (498344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.92 % (498344)CaDiCaL version: 2.1.3
% 3.68/0.92 % (498344)Termination reason: Refutation not found, incomplete strategy
% 3.68/0.92 % (498344)Time elapsed: 0.002 s
% 3.68/0.92 % (498344)Peak memory usage: 12 MB
% 3.68/0.92 % (498344)Instructions burned: 1 (million)
% 3.68/0.92 % (498344)------------------------------
% 3.68/0.92 % (498344)------------------------------
% 3.68/0.92 % (498347)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3823665042:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.68/0.92 % (498349)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1288512060:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.68/0.92 % (498350)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=673673046:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.68/0.92 % (498347)Instruction limit reached!
% 3.68/0.92 % (498347)------------------------------
% 3.68/0.92 % (498347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.92 % (498347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.92 % (498347)CaDiCaL version: 2.1.3
% 3.68/0.92 % (498347)Termination reason: Instruction limit
% 3.68/0.92 % (498347)Termination phase: Saturation
% 3.68/0.92 % (498347)Time elapsed: 0.027 s
% 3.68/0.92 % (498347)Peak memory usage: 12 MB
% 3.68/0.92 % (498347)Instructions burned: 31 (million)
% 3.68/0.92 % (498350)Instruction limit reached!
% 3.68/0.92 % (498350)------------------------------
% 3.68/0.92 % (498350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.92 % (498350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.02 % (498350)CaDiCaL version: 2.1.3
% 3.68/1.02 % (498350)Termination reason: Instruction limit
% 3.68/1.02 % (498350)Termination phase: Saturation
% 3.68/1.02 % (498350)Time elapsed: 0.025 s
% 3.68/1.02 % (498350)Peak memory usage: 12 MB
% 3.68/1.02 % (498350)Instructions burned: 37 (million)
% 3.68/1.02 % (498349)Instruction limit reached!
% 3.68/1.02 % (498349)------------------------------
% 3.68/1.02 % (498349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/1.02 % (498349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.02 % (498349)CaDiCaL version: 2.1.3
% 3.68/1.02 % (498349)Termination reason: Instruction limit
% 3.68/1.02 % (498349)Termination phase: Saturation
% 3.68/1.02 % (498349)Time elapsed: 0.049 s
% 3.68/1.02 % (498349)Peak memory usage: 12 MB
% 3.68/1.02 % (498349)Instructions burned: 140 (million)
% 3.68/1.02 % (498354)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3236417704:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.68/1.02 % (498354)Refutation not found, incomplete strategy
% 3.68/1.02 % (498354)------------------------------
% 3.68/1.02 % (498354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/1.02 % (498354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.02 % (498354)CaDiCaL version: 2.1.3
% 3.68/1.02 % (498354)Termination reason: Refutation not found, incomplete strategy
% 3.68/1.02 % (498354)Time elapsed: 0.001 s
% 3.68/1.02 % (498354)Peak memory usage: 12 MB
% 3.68/1.02 % (498354)Instructions burned: 1 (million)
% 3.68/1.02 % (498354)------------------------------
% 3.68/1.02 % (498354)------------------------------
% 3.68/1.02 % (498355)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.68/1.02 % (498355)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=507258726:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.68/1.02 % (498356)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3049780257:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.68/1.02 % (498356)Refutation not found, incomplete strategy
% 3.68/1.02 % (498356)------------------------------
% 3.68/1.02 % (498356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/1.02 % (498356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.02 % (498356)CaDiCaL version: 2.1.3
% 3.68/1.02 % (498356)Termination reason: Refutation not found, incomplete strategy
% 3.68/1.02 % (498356)Time elapsed: 0.0000 s
% 3.68/1.02 % (498356)Peak memory usage: 11 MB
% 3.68/1.02 % (498356)------------------------------
% 3.68/1.02 % (498356)------------------------------
% 3.68/1.02 % (498358)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=224704389:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 3.68/1.02 % (498361)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=4249848932:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.68/1.02 % (498361)Refutation not found, incomplete strategy
% 3.68/1.02 % (498361)------------------------------
% 3.68/1.02 % (498361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/1.02 % (498361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.02 % (498361)CaDiCaL version: 2.1.3
% 3.68/1.02 % (498361)Termination reason: Refutation not found, incomplete strategy
% 3.68/1.02 % (498361)Time elapsed: 0.001 s
% 3.68/1.02 % (498361)Peak memory usage: 11 MB
% 3.68/1.02 % (498361)------------------------------
% 3.68/1.02 % (498361)------------------------------
% 3.68/1.02 % (498340)Instruction limit reached!
% 3.68/1.02 % (498340)------------------------------
% 3.68/1.02 % (498340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/1.02 % (498340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.02 % (498340)CaDiCaL version: 2.1.3
% 3.68/1.02 % (498340)Termination reason: Instruction limit
% 3.68/1.02 % (498340)Termination phase: Saturation
% 3.68/1.02 % (498340)Time elapsed: 0.139 s
% 3.68/1.02 % (498340)Peak memory usage: 12 MB
% 3.68/1.02 % (498340)Instructions burned: 201 (million)
% 3.68/1.02 % (498364)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3306094492:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.01/1.11 % (498364)Refutation not found, incomplete strategy
% 5.01/1.11 % (498364)------------------------------
% 5.01/1.11 % (498364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.11 % (498364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.11 % (498364)CaDiCaL version: 2.1.3
% 5.01/1.11 % (498364)Termination reason: Refutation not found, incomplete strategy
% 5.01/1.11 % (498364)Time elapsed: 0.001 s
% 5.01/1.11 % (498364)Peak memory usage: 11 MB
% 5.01/1.11 % (498364)------------------------------
% 5.01/1.11 % (498364)------------------------------
% 5.01/1.11 % (498326)Instruction limit reached!
% 5.01/1.11 % (498326)------------------------------
% 5.01/1.11 % (498326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.11 % (498326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.11 % (498326)CaDiCaL version: 2.1.3
% 5.01/1.11 % (498326)Termination reason: Instruction limit
% 5.01/1.11 % (498326)Termination phase: Saturation
% 5.01/1.11 % (498326)Time elapsed: 0.242 s
% 5.01/1.11 % (498326)Peak memory usage: 13 MB
% 5.01/1.11 % (498326)Instructions burned: 316 (million)
% 5.01/1.11 % (498365)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2314842196:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.01/1.11 % (498365)Refutation not found, incomplete strategy
% 5.01/1.11 % (498365)------------------------------
% 5.01/1.11 % (498365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.11 % (498365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.11 % (498365)CaDiCaL version: 2.1.3
% 5.01/1.11 % (498365)Termination reason: Refutation not found, incomplete strategy
% 5.01/1.11 % (498365)Time elapsed: 0.001 s
% 5.01/1.11 % (498365)Peak memory usage: 12 MB
% 5.01/1.11 % (498365)------------------------------
% 5.01/1.11 % (498365)------------------------------
% 5.01/1.11 % (498367)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1326991029:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.01/1.11 % (498367)Refutation not found, incomplete strategy
% 5.01/1.11 % (498367)------------------------------
% 5.01/1.11 % (498367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.11 % (498367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.11 % (498367)CaDiCaL version: 2.1.3
% 5.01/1.11 % (498367)Termination reason: Refutation not found, incomplete strategy
% 5.01/1.11 % (498367)Time elapsed: 0.001 s
% 5.01/1.11 % (498367)Peak memory usage: 11 MB
% 5.01/1.11 % (498367)Instructions burned: 1 (million)
% 5.01/1.11 % (498367)------------------------------
% 5.01/1.11 % (498367)------------------------------
% 5.01/1.11 % (498372)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=980674542:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 5.01/1.11 % (498368)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3227942523:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 5.01/1.11 % (498358)Instruction limit reached!
% 5.01/1.11 % (498358)------------------------------
% 5.01/1.11 % (498358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.11 % (498358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.11 % (498358)CaDiCaL version: 2.1.3
% 5.01/1.11 % (498358)Termination reason: Instruction limit
% 5.01/1.11 % (498358)Termination phase: Saturation
% 5.01/1.11 % (498358)Time elapsed: 0.078 s
% 5.01/1.11 % (498358)Peak memory usage: 12 MB
% 5.01/1.11 % (498358)Instructions burned: 96 (million)
% 5.01/1.11 % (498370)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2072678616:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 5.01/1.11 % (498370)Refutation not found, incomplete strategy
% 5.01/1.11 % (498370)------------------------------
% 5.01/1.11 % (498370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.11 % (498370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.11 % (498370)CaDiCaL version: 2.1.3
% 5.01/1.11 % (498370)Termination reason: Refutation not found, incomplete strategy
% 5.01/1.11 % (498370)Time elapsed: 0.002 s
% 5.01/1.11 % (498370)Peak memory usage: 12 MB
% 5.01/1.11 % (498370)Instructions burned: 1 (million)
% 5.01/1.11 % (498370)------------------------------
% 5.70/1.22 % (498370)------------------------------
% 5.70/1.22 % (498375)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1643010567:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.70/1.22 % (498368)Instruction limit reached!
% 5.70/1.22 % (498368)------------------------------
% 5.70/1.22 % (498368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.22 % (498368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.22 % (498368)CaDiCaL version: 2.1.3
% 5.70/1.22 % (498368)Termination reason: Instruction limit
% 5.70/1.22 % (498368)Termination phase: Saturation
% 5.70/1.22 % (498368)Time elapsed: 0.036 s
% 5.70/1.22 % (498368)Peak memory usage: 12 MB
% 5.70/1.22 % (498368)Instructions burned: 44 (million)
% 5.70/1.22 % (498377)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=2937188668:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.70/1.22 % (498355)Instruction limit reached!
% 5.70/1.22 % (498355)------------------------------
% 5.70/1.23 % (498355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.23 % (498355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.23 % (498355)CaDiCaL version: 2.1.3
% 5.70/1.23 % (498355)Termination reason: Instruction limit
% 5.70/1.23 % (498355)Termination phase: Saturation
% 5.70/1.23 % (498355)Time elapsed: 0.142 s
% 5.70/1.23 % (498355)Peak memory usage: 12 MB
% 5.70/1.23 % (498355)Instructions burned: 180 (million)
% 5.70/1.23 % (498379)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=779481322: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)
% 5.70/1.23 % (498381)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=2906860000: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)
% 5.70/1.23 % (498381)Refutation not found, incomplete strategy
% 5.70/1.23 % (498381)------------------------------
% 5.70/1.23 % (498381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.23 % (498381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.23 % (498381)CaDiCaL version: 2.1.3
% 5.70/1.23 % (498381)Termination reason: Refutation not found, incomplete strategy
% 5.70/1.23 % (498381)Time elapsed: 0.001 s
% 5.70/1.23 % (498381)Peak memory usage: 12 MB
% 5.70/1.23 % (498381)------------------------------
% 5.70/1.23 % (498381)------------------------------
% 5.70/1.23 % (498377)Instruction limit reached!
% 5.70/1.23 % (498377)------------------------------
% 5.70/1.23 % (498377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.23 % (498377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.23 % (498377)CaDiCaL version: 2.1.3
% 5.70/1.23 % (498377)Termination reason: Instruction limit
% 5.70/1.23 % (498377)Termination phase: Saturation
% 5.70/1.23 % (498377)Time elapsed: 0.053 s
% 5.70/1.23 % (498377)Peak memory usage: 12 MB
% 5.70/1.23 % (498377)Instructions burned: 70 (million)
% 5.70/1.23 % (498384)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1071168255:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 5.70/1.23 % (498384)Refutation not found, incomplete strategy
% 5.70/1.23 % (498384)------------------------------
% 5.70/1.23 % (498384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.23 % (498384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.23 % (498384)CaDiCaL version: 2.1.3
% 5.70/1.23 % (498384)Termination reason: Refutation not found, incomplete strategy
% 5.70/1.23 % (498384)Time elapsed: 0.001 s
% 5.70/1.23 % (498384)Peak memory usage: 11 MB
% 5.70/1.23 % (498384)------------------------------
% 5.70/1.23 % (498384)------------------------------
% 5.70/1.23 % (498379)Instruction limit reached!
% 5.70/1.23 % (498379)------------------------------
% 5.70/1.23 % (498379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.23 % (498379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.40 % (498379)CaDiCaL version: 2.1.3
% 6.24/1.40 % (498379)Termination reason: Instruction limit
% 6.24/1.40 % (498379)Termination phase: Saturation
% 6.24/1.40 % (498379)Time elapsed: 0.051 s
% 6.24/1.40 % (498379)Peak memory usage: 13 MB
% 6.24/1.40 % (498379)Instructions burned: 106 (million)
% 6.24/1.40 % (498375)Instruction limit reached!
% 6.24/1.40 % (498375)------------------------------
% 6.24/1.40 % (498375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.40 % (498375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.40 % (498375)CaDiCaL version: 2.1.3
% 6.24/1.40 % (498375)Termination reason: Instruction limit
% 6.24/1.40 % (498375)Termination phase: Saturation
% 6.24/1.40 % (498375)Time elapsed: 0.074 s
% 6.24/1.40 % (498375)Peak memory usage: 12 MB
% 6.24/1.40 % (498375)Instructions burned: 96 (million)
% 6.24/1.40 % (498388)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2362547753:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 6.24/1.40 % (498386)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2550683068:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 6.24/1.40 % (498387)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=1986052487:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 6.24/1.40 % (498389)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=911516806: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)
% 6.24/1.40 % (498389)Refutation not found, incomplete strategy
% 6.24/1.40 % (498389)------------------------------
% 6.24/1.40 % (498389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.40 % (498389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.40 % (498389)CaDiCaL version: 2.1.3
% 6.24/1.40 % (498389)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.40 % (498389)Time elapsed: 0.001 s
% 6.24/1.40 % (498389)Peak memory usage: 11 MB
% 6.24/1.40 % (498389)------------------------------
% 6.24/1.40 % (498389)------------------------------
% 6.24/1.40 % (498388)Instruction limit reached!
% 6.24/1.40 % (498388)------------------------------
% 6.24/1.40 % (498388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.40 % (498388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.40 % (498388)CaDiCaL version: 2.1.3
% 6.24/1.40 % (498388)Termination reason: Instruction limit
% 6.24/1.40 % (498388)Termination phase: Saturation
% 6.24/1.40 % (498388)Time elapsed: 0.035 s
% 6.24/1.40 % (498388)Peak memory usage: 12 MB
% 6.24/1.40 % (498388)Instructions burned: 92 (million)
% 6.24/1.40 % (498394)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1845214123:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 6.24/1.40 % (498387)Instruction limit reached!
% 6.24/1.40 % (498387)------------------------------
% 6.24/1.40 % (498387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.40 % (498387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.40 % (498387)CaDiCaL version: 2.1.3
% 6.24/1.40 % (498387)Termination reason: Instruction limit
% 6.24/1.40 % (498387)Termination phase: Saturation
% 6.24/1.40 % (498387)Time elapsed: 0.030 s
% 6.24/1.40 % (498387)Peak memory usage: 12 MB
% 6.24/1.40 % (498387)Instructions burned: 34 (million)
% 6.24/1.40 % (498394)Instruction limit reached!
% 6.24/1.40 % (498394)------------------------------
% 6.24/1.40 % (498394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.40 % (498394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.40 % (498394)CaDiCaL version: 2.1.3
% 6.24/1.40 % (498394)Termination reason: Instruction limit
% 6.24/1.40 % (498394)Termination phase: Saturation
% 6.24/1.40 % (498394)Time elapsed: 0.012 s
% 6.24/1.40 % (498394)Peak memory usage: 12 MB
% 6.24/1.40 % (498394)Instructions burned: 24 (million)
% 6.24/1.40 % (498395)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=4292147224:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 6.24/1.40 % (498397)lrs+10_1_sil=128000:si=on:urr=on:random_seed=944735324:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 6.60/1.46 % (498397)Refutation not found, incomplete strategy
% 6.60/1.46 % (498397)------------------------------
% 6.60/1.46 % (498397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.46 % (498397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.46 % (498397)CaDiCaL version: 2.1.3
% 6.60/1.46 % (498397)Termination reason: Refutation not found, incomplete strategy
% 6.60/1.46 % (498397)Time elapsed: 0.001 s
% 6.60/1.46 % (498397)Peak memory usage: 11 MB
% 6.60/1.46 % (498397)------------------------------
% 6.60/1.46 % (498397)------------------------------
% 6.60/1.46 % (498398)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.60/1.46 % (498398)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2391719775: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)
% 6.60/1.46 % (498401)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=3382455864:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 6.60/1.46 % (498372)Instruction limit reached!
% 6.60/1.46 % (498372)------------------------------
% 6.60/1.46 % (498372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.46 % (498372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.46 % (498372)CaDiCaL version: 2.1.3
% 6.60/1.46 % (498372)Termination reason: Instruction limit
% 6.60/1.46 % (498372)Termination phase: Saturation
% 6.60/1.46 % (498372)Time elapsed: 0.226 s
% 6.60/1.46 % (498372)Peak memory usage: 12 MB
% 6.60/1.46 % (498372)Instructions burned: 451 (million)
% 6.60/1.46 % (498404)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1266607030:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 6.60/1.46 % (498404)Refutation not found, incomplete strategy
% 6.60/1.46 % (498404)------------------------------
% 6.60/1.46 % (498404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.46 % (498404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.46 % (498404)CaDiCaL version: 2.1.3
% 6.60/1.46 % (498404)Termination reason: Refutation not found, incomplete strategy
% 6.60/1.46 % (498404)Time elapsed: 0.001 s
% 6.60/1.46 % (498404)Peak memory usage: 12 MB
% 6.60/1.46 % (498404)------------------------------
% 6.60/1.46 % (498404)------------------------------
% 6.60/1.46 % (498328)Instruction limit reached!
% 6.60/1.46 % (498328)------------------------------
% 6.60/1.46 % (498328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.46 % (498328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.46 % (498328)CaDiCaL version: 2.1.3
% 6.60/1.46 % (498328)Termination reason: Instruction limit
% 6.60/1.46 % (498328)Termination phase: Saturation
% 6.60/1.46 % (498328)Time elapsed: 0.511 s
% 6.60/1.46 % (498328)Peak memory usage: 13 MB
% 6.60/1.46 % (498328)Instructions burned: 853 (million)
% 6.60/1.46 % (498406)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.60/1.46 % (498407)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1363495013:i=116:ep=RSTC:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/116Mi)
% 6.60/1.46 % (498406)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=756857849:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 6.60/1.46 % (498398)Instruction limit reached!
% 6.60/1.46 % (498398)------------------------------
% 6.60/1.46 % (498398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.46 % (498398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.46 % (498398)CaDiCaL version: 2.1.3
% 6.60/1.46 % (498398)Termination reason: Instruction limit
% 6.60/1.46 % (498398)Termination phase: Saturation
% 6.60/1.46 % (498398)Time elapsed: 0.095 s
% 6.60/1.46 % (498398)Peak memory usage: 12 MB
% 6.60/1.46 % (498398)Instructions burned: 138 (million)
% 6.60/1.46 % (498395)Instruction limit reached!
% 6.60/1.46 % (498395)------------------------------
% 6.60/1.46 % (498395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.90/1.51 % (498395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/1.51 % (498395)CaDiCaL version: 2.1.3
% 7.90/1.51 % (498395)Termination reason: Instruction limit
% 7.90/1.51 % (498395)Termination phase: Saturation
% 7.90/1.51 % (498395)Time elapsed: 0.136 s
% 7.90/1.51 % (498395)Peak memory usage: 14 MB
% 7.90/1.51 % (498395)Instructions burned: 340 (million)
% 7.90/1.51 % (498410)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1487892801:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 7.90/1.51 % (498410)Refutation not found, incomplete strategy
% 7.90/1.51 % (498410)------------------------------
% 7.90/1.51 % (498410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.90/1.51 % (498410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/1.51 % (498410)CaDiCaL version: 2.1.3
% 7.90/1.51 % (498410)Termination reason: Refutation not found, incomplete strategy
% 7.90/1.51 % (498410)Time elapsed: 0.001 s
% 7.90/1.51 % (498410)Peak memory usage: 12 MB
% 7.90/1.51 % (498410)Instructions burned: 1 (million)
% 7.90/1.51 % (498410)------------------------------
% 7.90/1.51 % (498410)------------------------------
% 7.90/1.51 % (498413)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=4147174533:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2990 on theBenchmark for (2990ds/9840Mi)
% 7.90/1.51 % (498411)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2403347176:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2990 on theBenchmark for (2990ds/270Mi)
% 7.90/1.51 % (498407)Instruction limit reached!
% 7.90/1.51 % (498407)------------------------------
% 7.90/1.51 % (498407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.90/1.51 % (498407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/1.51 % (498407)CaDiCaL version: 2.1.3
% 7.90/1.51 % (498407)Termination reason: Instruction limit
% 7.90/1.51 % (498407)Termination phase: Saturation
% 7.90/1.51 % (498407)Time elapsed: 0.072 s
% 7.90/1.51 % (498407)Peak memory usage: 12 MB
% 7.90/1.51 % (498407)Instructions burned: 117 (million)
% 7.90/1.51 % (498416)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2417227280:i=421:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/421Mi)
% 7.90/1.51 % (498416)Refutation not found, incomplete strategy
% 7.90/1.51 % (498416)------------------------------
% 7.90/1.51 % (498416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.90/1.51 % (498416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/1.51 % (498416)CaDiCaL version: 2.1.3
% 7.90/1.51 % (498416)Termination reason: Refutation not found, incomplete strategy
% 7.90/1.51 % (498416)Time elapsed: 0.001 s
% 7.90/1.51 % (498416)Peak memory usage: 11 MB
% 7.90/1.51 % (498416)------------------------------
% 7.90/1.51 % (498416)------------------------------
% 7.90/1.51 % (498418)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
% 7.90/1.51 % (498418)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=105347879:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/270Mi)
% 7.90/1.51 % (498307)Instruction limit reached!
% 7.90/1.51 % (498307)------------------------------
% 7.90/1.51 % (498307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.90/1.51 % (498307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/1.51 % (498307)CaDiCaL version: 2.1.3
% 7.90/1.51 % (498307)Termination reason: Instruction limit
% 7.90/1.51 % (498307)Termination phase: Saturation
% 7.90/1.51 % (498307)Time elapsed: 0.794 s
% 7.90/1.51 % (498307)Peak memory usage: 13 MB
% 7.90/1.51 % (498307)Instructions burned: 1240 (million)
% 7.90/1.51 % (498401)Instruction limit reached!
% 7.90/1.51 % (498401)------------------------------
% 7.90/1.51 % (498401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.90/1.51 % (498401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/1.58 % (498401)CaDiCaL version: 2.1.3
% 7.90/1.58 % (498401)Termination reason: Instruction limit
% 7.90/1.58 % (498401)Termination phase: Saturation
% 7.90/1.58 % (498401)Time elapsed: 0.263 s
% 7.90/1.58 % (498401)Peak memory usage: 13 MB
% 7.90/1.58 % (498401)Instructions burned: 340 (million)
% 7.90/1.58 % (498420)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3172151924:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 7.90/1.58 % (498386)Instruction limit reached!
% 7.90/1.58 % (498386)------------------------------
% 7.90/1.58 % (498386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.90/1.58 % (498386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/1.58 % (498386)CaDiCaL version: 2.1.3
% 7.90/1.58 % (498386)Termination reason: Instruction limit
% 7.90/1.58 % (498386)Termination phase: Saturation
% 7.90/1.58 % (498386)Time elapsed: 0.367 s
% 7.90/1.58 % (498386)Peak memory usage: 13 MB
% 7.90/1.58 % (498386)Instructions burned: 495 (million)
% 7.90/1.58 % (498421)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.90/1.58 % (498421)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
% 7.90/1.58 % (498420)Instruction limit reached!
% 7.90/1.58 % (498420)------------------------------
% 7.90/1.58 % (498420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.90/1.58 % (498420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/1.58 % (498420)CaDiCaL version: 2.1.3
% 7.90/1.58 % (498420)Termination reason: Instruction limit
% 7.90/1.58 % (498420)Termination phase: Saturation
% 7.90/1.58 % (498420)Time elapsed: 0.027 s
% 7.90/1.58 % (498420)Peak memory usage: 12 MB
% 7.90/1.58 % (498420)Instructions burned: 31 (million)
% 7.90/1.58 % (498418)Instruction limit reached!
% 7.90/1.58 % (498418)------------------------------
% 7.90/1.58 % (498418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.90/1.58 % (498418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/1.58 % (498418)CaDiCaL version: 2.1.3
% 7.90/1.58 % (498418)Termination reason: Instruction limit
% 7.90/1.58 % (498418)Termination phase: Saturation
% 7.90/1.58 % (498418)Time elapsed: 0.112 s
% 7.90/1.58 % (498418)Peak memory usage: 13 MB
% 7.90/1.58 % (498418)Instructions burned: 271 (million)
% 7.90/1.58 % (498421)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=349793222:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2989 on theBenchmark for (2989ds/1440Mi)
% 7.90/1.58 % (498423)dis+10_2_sil=128000:si=on:random_seed=1515652811:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2989 on theBenchmark for (2989ds/339Mi)
% 7.90/1.58 % (498423)Refutation not found, incomplete strategy
% 7.90/1.58 % (498423)------------------------------
% 7.90/1.58 % (498423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.90/1.58 % (498423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/1.58 % (498423)CaDiCaL version: 2.1.3
% 7.90/1.58 % (498423)Termination reason: Refutation not found, incomplete strategy
% 7.90/1.58 % (498423)Time elapsed: 0.001 s
% 7.90/1.58 % (498423)Peak memory usage: 11 MB
% 7.90/1.58 % (498423)------------------------------
% 7.90/1.58 % (498423)------------------------------
% 7.90/1.58 % (498426)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=883176095: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)
% 7.90/1.58 % (498426)Refutation not found, incomplete strategy
% 7.90/1.58 % (498426)------------------------------
% 7.90/1.58 % (498426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.90/1.58 % (498426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.90/1.58 % (498426)CaDiCaL version: 2.1.3
% 7.90/1.58 % (498426)Termination reason: Refutation not found, incomplete strategy
% 7.90/1.58 % (498426)Time elapsed: 0.001 s
% 7.90/1.58 % (498426)Peak memory usage: 11 MB
% 7.90/1.58 % (498426)------------------------------
% 7.90/1.58 % (498426)------------------------------
% 7.90/1.58 % (498424)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1837955025:i=111:add=on:fgj=on:rtra=on:fdi=1024_2988 on theBenchmark for (2988ds/111Mi)
% 8.55/1.77 % (498411)Instruction limit reached!
% 8.55/1.77 % (498411)------------------------------
% 8.55/1.77 % (498411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.77 % (498411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.77 % (498411)CaDiCaL version: 2.1.3
% 8.55/1.77 % (498411)Termination reason: Instruction limit
% 8.55/1.77 % (498411)Termination phase: Saturation
% 8.55/1.77 % (498411)Time elapsed: 0.209 s
% 8.55/1.77 % (498411)Peak memory usage: 12 MB
% 8.55/1.77 % (498411)Instructions burned: 271 (million)
% 8.55/1.77 % (498428)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=391861367:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/136Mi)
% 8.55/1.77 % (498428)Refutation not found, incomplete strategy
% 8.55/1.77 % (498428)------------------------------
% 8.55/1.77 % (498428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.77 % (498428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.77 % (498428)CaDiCaL version: 2.1.3
% 8.55/1.77 % (498428)Termination reason: Refutation not found, incomplete strategy
% 8.55/1.77 % (498428)Time elapsed: 0.002 s
% 8.55/1.77 % (498428)Peak memory usage: 12 MB
% 8.55/1.77 % (498428)Instructions burned: 1 (million)
% 8.55/1.77 % (498428)------------------------------
% 8.55/1.77 % (498428)------------------------------
% 8.55/1.77 % (498430)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=976582208:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/232Mi)
% 8.55/1.77 % (498430)Refutation not found, incomplete strategy
% 8.55/1.77 % (498430)------------------------------
% 8.55/1.77 % (498430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.77 % (498430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.77 % (498430)CaDiCaL version: 2.1.3
% 8.55/1.77 % (498430)Termination reason: Refutation not found, incomplete strategy
% 8.55/1.77 % (498430)Time elapsed: 0.001 s
% 8.55/1.77 % (498430)Peak memory usage: 11 MB
% 8.55/1.77 % (498430)------------------------------
% 8.55/1.77 % (498430)------------------------------
% 8.55/1.77 % (498432)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=1183710054:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2988 on theBenchmark for (2988ds/1254Mi)
% 8.55/1.77 % (498406)Instruction limit reached!
% 8.55/1.77 % (498406)------------------------------
% 8.55/1.77 % (498406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.77 % (498406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.77 % (498406)CaDiCaL version: 2.1.3
% 8.55/1.77 % (498406)Termination reason: Instruction limit
% 8.55/1.77 % (498406)Termination phase: Saturation
% 8.55/1.77 % (498406)Time elapsed: 0.308 s
% 8.55/1.77 % (498406)Peak memory usage: 13 MB
% 8.55/1.77 % (498406)Instructions burned: 373 (million)
% 8.55/1.77 % (498432)Refutation not found, incomplete strategy
% 8.55/1.77 % (498432)------------------------------
% 8.55/1.77 % (498432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.77 % (498432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.77 % (498432)CaDiCaL version: 2.1.3
% 8.55/1.77 % (498432)Termination reason: Refutation not found, incomplete strategy
% 8.55/1.77 % (498432)Time elapsed: 0.003 s
% 8.55/1.77 % (498432)Peak memory usage: 12 MB
% 8.55/1.77 % (498432)Instructions burned: 3 (million)
% 8.55/1.77 % (498434)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 8.55/1.77 % (498432)------------------------------
% 8.55/1.77 % (498432)------------------------------
% 8.55/1.77 % (498434)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=701035251:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2988 on theBenchmark for (2988ds/281Mi)
% 8.55/1.77 % (498436)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3282119611:i=619:add=on:rtra=on_2988 on theBenchmark for (2988ds/619Mi)
% 8.55/1.77 % (498436)Refutation not found, incomplete strategy
% 9.29/1.99 % (498436)------------------------------
% 9.29/1.99 % (498436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.29/1.99 % (498436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/1.99 % (498436)CaDiCaL version: 2.1.3
% 9.29/1.99 % (498436)Termination reason: Refutation not found, incomplete strategy
% 9.29/1.99 % (498436)Time elapsed: 0.002 s
% 9.29/1.99 % (498436)Peak memory usage: 12 MB
% 9.29/1.99 % (498436)Instructions burned: 2 (million)
% 9.29/1.99 % (498436)------------------------------
% 9.29/1.99 % (498436)------------------------------
% 9.29/1.99 % (498438)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=1376157448:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/865Mi)
% 9.29/1.99 % (498442)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1545069173:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 9.29/1.99 % (498442)Refutation not found, incomplete strategy
% 9.29/1.99 % (498442)------------------------------
% 9.29/1.99 % (498442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.29/1.99 % (498442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/1.99 % (498442)CaDiCaL version: 2.1.3
% 9.29/1.99 % (498442)Termination reason: Refutation not found, incomplete strategy
% 9.29/1.99 % (498442)Time elapsed: 0.0000 s
% 9.29/1.99 % (498442)Peak memory usage: 11 MB
% 9.29/1.99 % (498442)------------------------------
% 9.29/1.99 % (498442)------------------------------
% 9.29/1.99 % (498439)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1494336051:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/212Mi)
% 9.29/1.99 % (498439)Refutation not found, incomplete strategy
% 9.29/1.99 % (498439)------------------------------
% 9.29/1.99 % (498439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.29/1.99 % (498439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/1.99 % (498439)CaDiCaL version: 2.1.3
% 9.29/1.99 % (498439)Termination reason: Refutation not found, incomplete strategy
% 9.29/1.99 % (498439)Time elapsed: 0.001 s
% 9.29/1.99 % (498439)Peak memory usage: 11 MB
% 9.29/1.99 % (498439)------------------------------
% 9.29/1.99 % (498439)------------------------------
% 9.29/1.99 % (498424)Instruction limit reached!
% 9.29/1.99 % (498424)------------------------------
% 9.29/1.99 % (498424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.29/1.99 % (498424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/1.99 % (498424)CaDiCaL version: 2.1.3
% 9.29/1.99 % (498424)Termination reason: Instruction limit
% 9.29/1.99 % (498424)Termination phase: Saturation
% 9.29/1.99 % (498424)Time elapsed: 0.090 s
% 9.29/1.99 % (498424)Peak memory usage: 12 MB
% 9.29/1.99 % (498424)Instructions burned: 111 (million)
% 9.29/1.99 % (498446)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=491020429:st=1.5:i=346:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/346Mi)
% 9.29/1.99 % (498446)Refutation not found, incomplete strategy
% 9.29/1.99 % (498446)------------------------------
% 9.29/1.99 % (498446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.29/1.99 % (498446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.29/1.99 % (498446)CaDiCaL version: 2.1.3
% 9.29/1.99 % (498446)Termination reason: Refutation not found, incomplete strategy
% 9.29/1.99 % (498446)Time elapsed: 0.001 s
% 9.29/1.99 % (498446)Peak memory usage: 11 MB
% 9.29/1.99 % (498446)Instructions burned: 1 (million)
% 9.29/1.99 % (498446)------------------------------
% 9.29/1.99 % (498446)------------------------------
% 9.29/1.99 % (498447)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1601424613:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/152Mi)
% 9.29/1.99 % (498450)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2677711264:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/387Mi)
% 9.29/1.99 % (498450)Refutation not found, incomplete strategy
% 9.29/1.99 % (498450)------------------------------
% 9.29/1.99 % (498450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.29/1.99 % (498450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/2.32 % (498450)CaDiCaL version: 2.1.3
% 13.71/2.32 % (498450)Termination reason: Refutation not found, incomplete strategy
% 13.71/2.32 % (498450)Time elapsed: 0.001 s
% 13.71/2.32 % (498450)Peak memory usage: 11 MB
% 13.71/2.32 % (498450)Instructions burned: 1 (million)
% 13.71/2.32 % (498450)------------------------------
% 13.71/2.32 % (498450)------------------------------
% 13.71/2.32 % (498448)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3337933787:i=75:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/75Mi)
% 13.71/2.32 % (498453)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=2519966233:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2987 on theBenchmark for (2987ds/148Mi)
% 13.71/2.32 % (498448)Instruction limit reached!
% 13.71/2.32 % (498448)------------------------------
% 13.71/2.32 % (498448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.71/2.32 % (498448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/2.32 % (498448)CaDiCaL version: 2.1.3
% 13.71/2.32 % (498448)Termination reason: Instruction limit
% 13.71/2.32 % (498448)Termination phase: Saturation
% 13.71/2.32 % (498448)Time elapsed: 0.053 s
% 13.71/2.32 % (498448)Peak memory usage: 12 MB
% 13.71/2.32 % (498448)Instructions burned: 75 (million)
% 13.71/2.32 % (498453)Instruction limit reached!
% 13.71/2.32 % (498453)------------------------------
% 13.71/2.32 % (498453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.71/2.32 % (498453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/2.32 % (498453)CaDiCaL version: 2.1.3
% 13.71/2.32 % (498453)Termination reason: Instruction limit
% 13.71/2.32 % (498453)Termination phase: Saturation
% 13.71/2.32 % (498453)Time elapsed: 0.068 s
% 13.71/2.32 % (498453)Peak memory usage: 12 MB
% 13.71/2.32 % (498453)Instructions burned: 150 (million)
% 13.71/2.32 % (498456)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1697273094:i=161:piset=and:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/161Mi)
% 13.71/2.32 % (498457)lrs+10_1_sil=128000:si=on:random_seed=3286476565:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/888Mi)
% 13.71/2.32 % (498457)Refutation not found, incomplete strategy
% 13.71/2.32 % (498457)------------------------------
% 13.71/2.32 % (498457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.71/2.32 % (498457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/2.32 % (498457)CaDiCaL version: 2.1.3
% 13.71/2.32 % (498457)Termination reason: Refutation not found, incomplete strategy
% 13.71/2.32 % (498457)Time elapsed: 0.001 s
% 13.71/2.32 % (498457)Peak memory usage: 11 MB
% 13.71/2.32 % (498457)------------------------------
% 13.71/2.32 % (498457)------------------------------
% 13.71/2.32 % (498447)Instruction limit reached!
% 13.71/2.32 % (498447)------------------------------
% 13.71/2.32 % (498447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.71/2.32 % (498447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/2.32 % (498447)CaDiCaL version: 2.1.3
% 13.71/2.32 % (498447)Termination reason: Instruction limit
% 13.71/2.32 % (498447)Termination phase: Saturation
% 13.71/2.32 % (498447)Time elapsed: 0.125 s
% 13.71/2.32 % (498447)Peak memory usage: 12 MB
% 13.71/2.32 % (498447)Instructions burned: 152 (million)
% 13.71/2.32 % (498460)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=1346418728:i=136:add=on:ins=4:rtra=on:sup=off_2986 on theBenchmark for (2986ds/136Mi)
% 13.71/2.32 % (498461)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=474668889:i=88:s2at=3:nm=2:rtra=on:rawr=on_2986 on theBenchmark for (2986ds/88Mi)
% 13.71/2.32 % (498434)Instruction limit reached!
% 13.71/2.32 % (498434)------------------------------
% 13.71/2.32 % (498434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.71/2.32 % (498434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/2.32 % (498434)CaDiCaL version: 2.1.3
% 13.71/2.32 % (498434)Termination reason: Instruction limit
% 13.71/2.32 % (498434)Termination phase: Saturation
% 13.71/2.32 % (498434)Time elapsed: 0.243 s
% 13.71/2.32 % (498434)Peak memory usage: 13 MB
% 13.71/2.32 % (498434)Instructions burned: 282 (million)
% 13.71/2.32 % (498456)Instruction limit reached!
% 13.71/2.32 % (498456)------------------------------
% 14.41/2.57 % (498456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.41/2.57 % (498456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/2.57 % (498456)CaDiCaL version: 2.1.3
% 14.41/2.57 % (498456)Termination reason: Instruction limit
% 14.41/2.57 % (498456)Termination phase: Saturation
% 14.41/2.57 % (498456)Time elapsed: 0.099 s
% 14.41/2.57 % (498456)Peak memory usage: 12 MB
% 14.41/2.57 % (498456)Instructions burned: 161 (million)
% 14.41/2.57 % (498464)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=400894714:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2985 on theBenchmark for (2985ds/93Mi)
% 14.41/2.57 % (498461)Instruction limit reached!
% 14.41/2.57 % (498461)------------------------------
% 14.41/2.57 % (498461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.41/2.57 % (498461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/2.57 % (498461)CaDiCaL version: 2.1.3
% 14.41/2.57 % (498461)Termination reason: Instruction limit
% 14.41/2.57 % (498461)Termination phase: Saturation
% 14.41/2.57 % (498461)Time elapsed: 0.068 s
% 14.41/2.57 % (498461)Peak memory usage: 13 MB
% 14.41/2.57 % (498461)Instructions burned: 89 (million)
% 14.41/2.57 % (498465)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3331661338:i=2186:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/2186Mi)
% 14.41/2.57 % (498460)Instruction limit reached!
% 14.41/2.57 % (498460)------------------------------
% 14.41/2.57 % (498460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.41/2.57 % (498460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/2.57 % (498460)CaDiCaL version: 2.1.3
% 14.41/2.57 % (498460)Termination reason: Instruction limit
% 14.41/2.57 % (498460)Termination phase: Saturation
% 14.41/2.57 % (498460)Time elapsed: 0.097 s
% 14.41/2.57 % (498460)Peak memory usage: 12 MB
% 14.41/2.57 % (498460)Instructions burned: 140 (million)
% 14.41/2.57 % (498467)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1274810202:s2a=on:i=240:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/240Mi)
% 14.41/2.57 % (498469)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=1339215802:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/805Mi)
% 14.41/2.57 % (498464)Instruction limit reached!
% 14.41/2.57 % (498464)------------------------------
% 14.41/2.57 % (498464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.41/2.57 % (498464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/2.57 % (498464)CaDiCaL version: 2.1.3
% 14.41/2.57 % (498464)Termination reason: Instruction limit
% 14.41/2.57 % (498464)Termination phase: Saturation
% 14.41/2.57 % (498464)Time elapsed: 0.064 s
% 14.41/2.57 % (498464)Peak memory usage: 12 MB
% 14.41/2.57 % (498464)Instructions burned: 94 (million)
% 14.41/2.57 % (498472)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 14.41/2.57 % (498472)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=4158805079:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2984 on theBenchmark for (2984ds/391Mi)
% 14.41/2.57 % (498472)Refutation not found, incomplete strategy
% 14.41/2.57 % (498472)------------------------------
% 14.41/2.57 % (498472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.41/2.57 % (498472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/2.57 % (498472)CaDiCaL version: 2.1.3
% 14.41/2.57 % (498472)Termination reason: Refutation not found, incomplete strategy
% 14.41/2.57 % (498472)Time elapsed: 0.002 s
% 14.41/2.57 % (498472)Peak memory usage: 11 MB
% 14.41/2.57 % (498472)Instructions burned: 1 (million)
% 14.41/2.57 % (498472)------------------------------
% 14.41/2.57 % (498472)------------------------------
% 14.41/2.57 % (498474)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3557937767:i=355:av=off:fsr=off:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/355Mi)
% 14.41/2.57 % (498467)Instruction limit reached!
% 14.41/2.57 % (498467)------------------------------
% 14.41/2.57 % (498467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.41/2.57 % (498467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.68 % (498467)CaDiCaL version: 2.1.3
% 14.97/2.68 % (498467)Termination reason: Instruction limit
% 14.97/2.68 % (498467)Termination phase: Saturation
% 14.97/2.68 % (498467)Time elapsed: 0.159 s
% 14.97/2.68 % (498467)Peak memory usage: 12 MB
% 14.97/2.68 % (498467)Instructions burned: 241 (million)
% 14.97/2.68 % (498476)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1786456597:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/314Mi)
% 14.97/2.68 % (498476)Refutation not found, incomplete strategy
% 14.97/2.68 % (498476)------------------------------
% 14.97/2.68 % (498476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.68 % (498476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.68 % (498476)CaDiCaL version: 2.1.3
% 14.97/2.68 % (498476)Termination reason: Refutation not found, incomplete strategy
% 14.97/2.68 % (498476)Time elapsed: 0.002 s
% 14.97/2.68 % (498476)Peak memory usage: 11 MB
% 14.97/2.68 % (498476)------------------------------
% 14.97/2.68 % (498476)------------------------------
% 14.97/2.68 % (498478)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2223898458:s2a=on:i=251:fsr=off:rtra=on_2982 on theBenchmark for (2982ds/251Mi)
% 14.97/2.68 % (498438)Instruction limit reached!
% 14.97/2.68 % (498438)------------------------------
% 14.97/2.68 % (498438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.68 % (498438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.68 % (498438)CaDiCaL version: 2.1.3
% 14.97/2.68 % (498438)Termination reason: Instruction limit
% 14.97/2.68 % (498438)Termination phase: Saturation
% 14.97/2.68 % (498438)Time elapsed: 0.643 s
% 14.97/2.68 % (498438)Peak memory usage: 15 MB
% 14.97/2.68 % (498438)Instructions burned: 866 (million)
% 14.97/2.68 % (498474)Instruction limit reached!
% 14.97/2.68 % (498474)------------------------------
% 14.97/2.68 % (498474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.68 % (498474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.68 % (498474)CaDiCaL version: 2.1.3
% 14.97/2.68 % (498474)Termination reason: Instruction limit
% 14.97/2.68 % (498474)Termination phase: Saturation
% 14.97/2.68 % (498474)Time elapsed: 0.273 s
% 14.97/2.68 % (498474)Peak memory usage: 12 MB
% 14.97/2.68 % (498474)Instructions burned: 356 (million)
% 14.97/2.68 % (498480)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=1744725945:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2981 on theBenchmark for (2981ds/2470Mi)
% 14.97/2.68 % (498481)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=4017192421:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2981 on theBenchmark for (2981ds/673Mi)
% 14.97/2.68 % (498478)Instruction limit reached!
% 14.97/2.68 % (498478)------------------------------
% 14.97/2.68 % (498478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.68 % (498478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.68 % (498478)CaDiCaL version: 2.1.3
% 14.97/2.68 % (498478)Termination reason: Instruction limit
% 14.97/2.68 % (498478)Termination phase: Saturation
% 14.97/2.68 % (498478)Time elapsed: 0.205 s
% 14.97/2.68 % (498478)Peak memory usage: 12 MB
% 14.97/2.68 % (498478)Instructions burned: 251 (million)
% 14.97/2.68 % (498484)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2961719731:i=116:ep=RSTC:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/116Mi)
% 14.97/2.68 % (498421)Instruction limit reached!
% 14.97/2.68 % (498421)------------------------------
% 14.97/2.68 % (498421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.68 % (498421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.68 % (498421)CaDiCaL version: 2.1.3
% 14.97/2.68 % (498421)Termination reason: Instruction limit
% 14.97/2.68 % (498421)Termination phase: Saturation
% 14.97/2.68 % (498421)Time elapsed: 0.856 s
% 14.97/2.68 % (498421)Peak memory usage: 13 MB
% 14.97/2.68 % (498421)Instructions burned: 1441 (million)
% 14.97/2.68 % (498486)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=683222402: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)
% 16.79/2.98 % (498484)Instruction limit reached!
% 16.79/2.98 % (498484)------------------------------
% 16.79/2.98 % (498484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.98 % (498484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.98 % (498484)CaDiCaL version: 2.1.3
% 16.79/2.98 % (498484)Termination reason: Instruction limit
% 16.79/2.98 % (498484)Termination phase: Saturation
% 16.79/2.98 % (498484)Time elapsed: 0.071 s
% 16.79/2.98 % (498484)Peak memory usage: 12 MB
% 16.79/2.98 % (498484)Instructions burned: 116 (million)
% 16.79/2.98 % (498469)Instruction limit reached!
% 16.79/2.98 % (498469)------------------------------
% 16.79/2.98 % (498469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.98 % (498469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.98 % (498469)CaDiCaL version: 2.1.3
% 16.79/2.98 % (498469)Termination reason: Instruction limit
% 16.79/2.98 % (498469)Termination phase: Saturation
% 16.79/2.98 % (498469)Time elapsed: 0.540 s
% 16.79/2.98 % (498469)Peak memory usage: 14 MB
% 16.79/2.98 % (498469)Instructions burned: 805 (million)
% 16.79/2.98 % (498488)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=3379487607:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2979 on theBenchmark for (2979ds/30Mi)
% 16.79/2.98 % (498488)Instruction limit reached!
% 16.79/2.98 % (498488)------------------------------
% 16.79/2.98 % (498488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.98 % (498488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.98 % (498488)CaDiCaL version: 2.1.3
% 16.79/2.98 % (498488)Termination reason: Instruction limit
% 16.79/2.98 % (498488)Termination phase: Saturation
% 16.79/2.98 % (498488)Time elapsed: 0.015 s
% 16.79/2.98 % (498488)Peak memory usage: 12 MB
% 16.79/2.98 % (498488)Instructions burned: 30 (million)
% 16.79/2.98 % (498489)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 16.79/2.98 % (498489)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1083162558:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2979 on theBenchmark for (2979ds/39Mi)
% 16.79/2.98 % (498491)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3062623288:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2979 on theBenchmark for (2979ds/365Mi)
% 16.79/2.98 % (498489)Instruction limit reached!
% 16.79/2.98 % (498489)------------------------------
% 16.79/2.98 % (498489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.98 % (498489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.98 % (498489)CaDiCaL version: 2.1.3
% 16.79/2.98 % (498489)Termination reason: Instruction limit
% 16.79/2.98 % (498489)Termination phase: Saturation
% 16.79/2.98 % (498489)Time elapsed: 0.034 s
% 16.79/2.98 % (498489)Peak memory usage: 12 MB
% 16.79/2.98 % (498489)Instructions burned: 40 (million)
% 16.79/2.98 % (498494)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=616998616:i=158:av=off:rtra=on_2978 on theBenchmark for (2978ds/158Mi)
% 16.79/2.98 % (498486)Instruction limit reached!
% 16.79/2.98 % (498486)------------------------------
% 16.79/2.98 % (498486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.98 % (498486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.98 % (498486)CaDiCaL version: 2.1.3
% 16.79/2.98 % (498486)Termination reason: Instruction limit
% 16.79/2.98 % (498486)Termination phase: Saturation
% 16.79/2.98 % (498486)Time elapsed: 0.210 s
% 16.79/2.98 % (498486)Peak memory usage: 12 MB
% 16.79/2.98 % (498486)Instructions burned: 271 (million)
% 16.79/2.98 % (498496)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 16.79/2.98 % (498496)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=3907826873:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/252Mi)
% 16.79/2.98 % (498494)Instruction limit reached!
% 16.79/2.98 % (498494)------------------------------
% 19.85/3.14 % (498494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.85/3.14 % (498494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.14 % (498494)CaDiCaL version: 2.1.3
% 19.85/3.14 % (498494)Termination reason: Instruction limit
% 19.85/3.14 % (498494)Termination phase: Saturation
% 19.85/3.14 % (498494)Time elapsed: 0.103 s
% 19.85/3.14 % (498494)Peak memory usage: 12 MB
% 19.85/3.14 % (498494)Instructions burned: 158 (million)
% 19.85/3.14 % (498498)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=1279823487:i=213:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/213Mi)
% 19.85/3.14 % (498498)Refutation not found, incomplete strategy
% 19.85/3.14 % (498498)------------------------------
% 19.85/3.14 % (498498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.85/3.14 % (498498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.14 % (498498)CaDiCaL version: 2.1.3
% 19.85/3.14 % (498498)Termination reason: Refutation not found, incomplete strategy
% 19.85/3.14 % (498498)Time elapsed: 0.001 s
% 19.85/3.14 % (498498)Peak memory usage: 11 MB
% 19.85/3.14 % (498498)------------------------------
% 19.85/3.14 % (498498)------------------------------
% 19.85/3.14 % (498500)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=4042420461:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/160Mi)
% 19.85/3.14 % (498500)Refutation not found, incomplete strategy
% 19.85/3.14 % (498500)------------------------------
% 19.85/3.14 % (498500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.85/3.14 % (498500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.14 % (498500)CaDiCaL version: 2.1.3
% 19.85/3.14 % (498500)Termination reason: Refutation not found, incomplete strategy
% 19.85/3.14 % (498500)Time elapsed: 0.001 s
% 19.85/3.14 % (498500)Peak memory usage: 12 MB
% 19.85/3.14 % (498491)Instruction limit reached!
% 19.85/3.14 % (498491)------------------------------
% 19.85/3.14 % (498491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.85/3.14 % (498491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.14 % (498491)CaDiCaL version: 2.1.3
% 19.85/3.14 % (498491)Termination reason: Instruction limit
% 19.85/3.14 % (498491)Termination phase: Saturation
% 19.85/3.14 % (498491)Time elapsed: 0.226 s
% 19.85/3.14 % (498491)Peak memory usage: 13 MB
% 19.85/3.14 % (498491)Instructions burned: 366 (million)
% 19.85/3.14 % (498500)------------------------------
% 19.85/3.14 % (498500)------------------------------
% 19.85/3.14 % (498481)Instruction limit reached!
% 19.85/3.14 % (498481)------------------------------
% 19.85/3.14 % (498481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.85/3.14 % (498481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.14 % (498481)CaDiCaL version: 2.1.3
% 19.85/3.14 % (498481)Termination reason: Instruction limit
% 19.85/3.14 % (498481)Termination phase: Saturation
% 19.85/3.14 % (498481)Time elapsed: 0.435 s
% 19.85/3.14 % (498481)Peak memory usage: 13 MB
% 19.85/3.14 % (498481)Instructions burned: 673 (million)
% 19.85/3.14 % (498496)Instruction limit reached!
% 19.85/3.14 % (498496)------------------------------
% 19.85/3.14 % (498496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.85/3.14 % (498496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.85/3.14 % (498496)CaDiCaL version: 2.1.3
% 19.85/3.14 % (498496)Termination reason: Instruction limit
% 19.85/3.14 % (498496)Termination phase: Saturation
% 19.85/3.14 % (498496)Time elapsed: 0.102 s
% 19.85/3.14 % (498496)Peak memory usage: 12 MB
% 19.85/3.14 % (498496)Instructions burned: 255 (million)
% 19.85/3.14 % (498503)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 19.85/3.14 % (498505)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=216597077:i=300:piset=and:nm=32:rtra=on_2976 on theBenchmark for (2976ds/300Mi)
% 19.85/3.14 % (498502)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=4099051253:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/763Mi)
% 19.85/3.14 % (498503)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=1232377012:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2976 on theBenchmark for (2976ds/237Mi)
% 20.16/3.22 % (498503)Refutation not found, incomplete strategy
% 20.16/3.22 % (498503)------------------------------
% 20.16/3.22 % (498503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.22 % (498503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.22 % (498503)CaDiCaL version: 2.1.3
% 20.16/3.22 % (498503)Termination reason: Refutation not found, incomplete strategy
% 20.16/3.22 % (498503)Time elapsed: 0.001 s
% 20.16/3.22 % (498503)Peak memory usage: 11 MB
% 20.16/3.22 % (498503)------------------------------
% 20.16/3.22 % (498503)------------------------------
% 20.16/3.22 % (498504)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=879989045:s2a=on:i=386:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/386Mi)
% 20.16/3.22 % (498510)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=216155830:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/567Mi)
% 20.16/3.22 % (498510)Refutation not found, incomplete strategy
% 20.16/3.22 % (498510)------------------------------
% 20.16/3.22 % (498510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.22 % (498510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.22 % (498510)CaDiCaL version: 2.1.3
% 20.16/3.22 % (498510)Termination reason: Refutation not found, incomplete strategy
% 20.16/3.22 % (498510)Time elapsed: 0.002 s
% 20.16/3.22 % (498510)Peak memory usage: 11 MB
% 20.16/3.22 % (498510)Instructions burned: 1 (million)
% 20.16/3.22 % (498510)------------------------------
% 20.16/3.22 % (498510)------------------------------
% 20.16/3.22 % (498512)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1013051462:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2975 on theBenchmark for (2975ds/379Mi)
% 20.16/3.22 % (498512)Refutation not found, incomplete strategy
% 20.16/3.22 % (498512)------------------------------
% 20.16/3.22 % (498512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.22 % (498512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.22 % (498512)CaDiCaL version: 2.1.3
% 20.16/3.22 % (498512)Termination reason: Refutation not found, incomplete strategy
% 20.16/3.22 % (498512)Time elapsed: 0.001 s
% 20.16/3.22 % (498512)Peak memory usage: 11 MB
% 20.16/3.22 % (498512)------------------------------
% 20.16/3.22 % (498512)------------------------------
% 20.16/3.22 % (498514)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=4035125810:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2975 on theBenchmark for (2975ds/429Mi)
% 20.16/3.22 % (498505)Instruction limit reached!
% 20.16/3.22 % (498505)------------------------------
% 20.16/3.22 % (498505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.22 % (498505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.22 % (498505)CaDiCaL version: 2.1.3
% 20.16/3.22 % (498505)Termination reason: Instruction limit
% 20.16/3.22 % (498505)Termination phase: Saturation
% 20.16/3.22 % (498505)Time elapsed: 0.137 s
% 20.16/3.22 % (498505)Peak memory usage: 12 MB
% 20.16/3.22 % (498505)Instructions burned: 302 (million)
% 20.16/3.22 % (498516)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=899007485:i=478:bd=all:rtra=on_2974 on theBenchmark for (2974ds/478Mi)
% 20.16/3.22 % (498516)Refutation not found, incomplete strategy
% 20.16/3.22 % (498516)------------------------------
% 20.16/3.22 % (498516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.16/3.22 % (498516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/3.22 % (498516)CaDiCaL version: 2.1.3
% 20.16/3.22 % (498516)Termination reason: Refutation not found, incomplete strategy
% 20.16/3.22 % (498516)Time elapsed: 0.001 s
% 20.16/3.22 % (498516)Peak memory usage: 12 MB
% 20.16/3.22 % (498516)Instructions burned: 1 (million)
% 20.16/3.22 % (498516)------------------------------
% 20.16/3.22 % (498516)------------------------------
% 20.16/3.22 % (498518)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=16276602:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2974 on theBenchmark for (2974ds/445Mi)
% 20.16/3.22 % (498504)Instruction limit reached!
% 20.16/3.22 % (498504)------------------------------
% 20.16/3.22 % (498504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/3.34 % (498504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/3.34 % (498504)CaDiCaL version: 2.1.3
% 20.60/3.34 % (498504)Termination reason: Instruction limit
% 20.60/3.34 % (498504)Termination phase: Saturation
% 20.60/3.34 % (498504)Time elapsed: 0.302 s
% 20.60/3.34 % (498504)Peak memory usage: 12 MB
% 20.60/3.34 % (498504)Instructions burned: 386 (million)
% 20.60/3.34 % (498520)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=999132482:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2973 on theBenchmark for (2973ds/71Mi)
% 20.60/3.34 % (498520)Instruction limit reached!
% 20.60/3.34 % (498520)------------------------------
% 20.60/3.34 % (498520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/3.34 % (498520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/3.34 % (498520)CaDiCaL version: 2.1.3
% 20.60/3.34 % (498520)Termination reason: Instruction limit
% 20.60/3.34 % (498520)Termination phase: Saturation
% 20.60/3.34 % (498520)Time elapsed: 0.072 s
% 20.60/3.34 % (498520)Peak memory usage: 12 MB
% 20.60/3.34 % (498520)Instructions burned: 71 (million)
% 20.60/3.34 % (498502)Instruction limit reached!
% 20.60/3.34 % (498502)------------------------------
% 20.60/3.34 % (498502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/3.34 % (498502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/3.34 % (498502)CaDiCaL version: 2.1.3
% 20.60/3.34 % (498502)Termination reason: Instruction limit
% 20.60/3.34 % (498502)Termination phase: Saturation
% 20.60/3.34 % (498502)Time elapsed: 0.428 s
% 20.60/3.34 % (498502)Peak memory usage: 14 MB
% 20.60/3.34 % (498502)Instructions burned: 765 (million)
% 20.60/3.34 % (498522)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3585887769:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/302Mi)
% 20.60/3.34 % (498522)Refutation not found, incomplete strategy
% 20.60/3.34 % (498522)------------------------------
% 20.60/3.34 % (498522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/3.34 % (498522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/3.34 % (498522)CaDiCaL version: 2.1.3
% 20.60/3.34 % (498522)Termination reason: Refutation not found, incomplete strategy
% 20.60/3.34 % (498522)Time elapsed: 0.001 s
% 20.60/3.34 % (498522)Peak memory usage: 11 MB
% 20.60/3.34 % (498522)------------------------------
% 20.60/3.34 % (498522)------------------------------
% 20.60/3.34 % (498514)Instruction limit reached!
% 20.60/3.34 % (498514)------------------------------
% 20.60/3.34 % (498514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/3.34 % (498514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/3.34 % (498514)CaDiCaL version: 2.1.3
% 20.60/3.34 % (498514)Termination reason: Instruction limit
% 20.60/3.34 % (498514)Termination phase: Saturation
% 20.60/3.34 % (498514)Time elapsed: 0.345 s
% 20.60/3.34 % (498514)Peak memory usage: 13 MB
% 20.60/3.34 % (498514)Instructions burned: 430 (million)
% 20.60/3.34 % (498525)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 20.60/3.34 % (498525)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 20.60/3.34 % (498525)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2115789639:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2971 on theBenchmark for (2971ds/100Mi)
% 20.60/3.34 % (498518)Instruction limit reached!
% 20.60/3.34 % (498518)------------------------------
% 20.60/3.34 % (498518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/3.34 % (498518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/3.34 % (498518)CaDiCaL version: 2.1.3
% 20.60/3.34 % (498518)Termination reason: Instruction limit
% 20.60/3.34 % (498518)Termination phase: Saturation
% 20.60/3.34 % (498518)Time elapsed: 0.285 s
% 20.60/3.34 % (498518)Peak memory usage: 14 MB
% 20.60/3.34 % (498518)Instructions burned: 445 (million)
% 20.60/3.34 % (498523)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1147348043:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2971 on theBenchmark for (2971ds/4980Mi)
% 20.60/3.34 % (498523)Refutation not found, incomplete strategy
% 22.41/3.72 % (498523)------------------------------
% 22.41/3.72 % (498523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.41/3.72 % (498523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/3.72 % (498523)CaDiCaL version: 2.1.3
% 22.41/3.72 % (498523)Termination reason: Refutation not found, incomplete strategy
% 22.41/3.72 % (498523)Time elapsed: 0.001 s
% 22.41/3.72 % (498523)Peak memory usage: 11 MB
% 22.41/3.72 % (498523)------------------------------
% 22.41/3.72 % (498523)------------------------------
% 22.41/3.72 % (498526)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=1979502285:i=76:piset=equals:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/76Mi)
% 22.41/3.72 % (498465)Instruction limit reached!
% 22.41/3.72 % (498465)------------------------------
% 22.41/3.72 % (498465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.41/3.72 % (498465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/3.72 % (498465)CaDiCaL version: 2.1.3
% 22.41/3.72 % (498465)Termination reason: Instruction limit
% 22.41/3.72 % (498465)Termination phase: Saturation
% 22.41/3.72 % (498465)Time elapsed: 1.371 s
% 22.41/3.72 % (498465)Peak memory usage: 13 MB
% 22.41/3.72 % (498465)Instructions burned: 2187 (million)
% 22.41/3.72 % (498529)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=3153372439:i=289:rtra=on_2971 on theBenchmark for (2971ds/289Mi)
% 22.41/3.72 % (498529)Refutation not found, incomplete strategy
% 22.41/3.72 % (498529)------------------------------
% 22.41/3.72 % (498529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.41/3.72 % (498529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/3.72 % (498529)CaDiCaL version: 2.1.3
% 22.41/3.72 % (498529)Termination reason: Refutation not found, incomplete strategy
% 22.41/3.72 % (498529)Time elapsed: 0.002 s
% 22.41/3.72 % (498529)Peak memory usage: 12 MB
% 22.41/3.72 % (498529)Instructions burned: 1 (million)
% 22.41/3.72 % (498529)------------------------------
% 22.41/3.72 % (498529)------------------------------
% 22.41/3.72 % (498530)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=4150578458:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2971 on theBenchmark for (2971ds/493Mi)
% 22.41/3.72 % (498525)Instruction limit reached!
% 22.41/3.72 % (498525)------------------------------
% 22.41/3.72 % (498525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.41/3.72 % (498525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/3.72 % (498525)CaDiCaL version: 2.1.3
% 22.41/3.72 % (498525)Termination reason: Instruction limit
% 22.41/3.72 % (498525)Termination phase: Saturation
% 22.41/3.72 % (498525)Time elapsed: 0.046 s
% 22.41/3.72 % (498525)Peak memory usage: 12 MB
% 22.41/3.72 % (498525)Instructions burned: 101 (million)
% 22.41/3.72 % (498536)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=29042736:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2971 on theBenchmark for (2971ds/670Mi)
% 22.41/3.72 % (498534)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 22.41/3.72 % (498533)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=2461101022:cond=on:i=34:hud=10:nm=10:rtra=on_2971 on theBenchmark for (2971ds/34Mi)
% 22.41/3.72 % (498534)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=583728649:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2971 on theBenchmark for (2971ds/372Mi)
% 22.41/3.72 % (498534)Refutation not found, incomplete strategy
% 22.41/3.72 % (498534)------------------------------
% 22.41/3.72 % (498534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.41/3.72 % (498534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/3.72 % (498534)CaDiCaL version: 2.1.3
% 22.41/3.72 % (498534)Termination reason: Refutation not found, incomplete strategy
% 22.41/3.72 % (498534)Time elapsed: 0.003 s
% 22.41/3.72 % (498534)Peak memory usage: 12 MB
% 22.41/3.72 % (498534)Instructions burned: 2 (million)
% 22.41/3.72 % (498534)------------------------------
% 23.70/3.82 % (498534)------------------------------
% 23.70/3.82 % (498526)Instruction limit reached!
% 23.70/3.82 % (498526)------------------------------
% 23.70/3.82 % (498526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.70/3.82 % (498526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.70/3.82 % (498526)CaDiCaL version: 2.1.3
% 23.70/3.82 % (498526)Termination reason: Instruction limit
% 23.70/3.82 % (498526)Termination phase: Saturation
% 23.70/3.82 % (498526)Time elapsed: 0.063 s
% 23.70/3.82 % (498526)Peak memory usage: 12 MB
% 23.70/3.82 % (498526)Instructions burned: 77 (million)
% 23.70/3.82 % (498533)Instruction limit reached!
% 23.70/3.82 % (498533)------------------------------
% 23.70/3.82 % (498533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.70/3.82 % (498533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.70/3.82 % (498533)CaDiCaL version: 2.1.3
% 23.70/3.82 % (498533)Termination reason: Instruction limit
% 23.70/3.82 % (498533)Termination phase: Saturation
% 23.70/3.82 % (498533)Time elapsed: 0.030 s
% 23.70/3.82 % (498533)Peak memory usage: 12 MB
% 23.70/3.82 % (498533)Instructions burned: 34 (million)
% 23.70/3.82 % (498540)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2783092759:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/647Mi)
% 23.70/3.82 % (498540)Refutation not found, incomplete strategy
% 23.70/3.82 % (498540)------------------------------
% 23.70/3.82 % (498540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.70/3.82 % (498540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.70/3.82 % (498540)CaDiCaL version: 2.1.3
% 23.70/3.82 % (498540)Termination reason: Refutation not found, incomplete strategy
% 23.70/3.82 % (498540)Time elapsed: 0.001 s
% 23.70/3.82 % (498540)Peak memory usage: 11 MB
% 23.70/3.82 % (498540)------------------------------
% 23.70/3.82 % (498540)------------------------------
% 23.70/3.82 % (498541)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=2963702698:i=857:add=off:kws=frequency:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/857Mi)
% 23.70/3.82 % (498544)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3316277678:i=285:hud=10:bd=all:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/285Mi)
% 23.70/3.82 % (498544)Refutation not found, incomplete strategy
% 23.70/3.82 % (498544)------------------------------
% 23.70/3.82 % (498544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.70/3.82 % (498544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.70/3.82 % (498544)CaDiCaL version: 2.1.3
% 23.70/3.82 % (498544)Termination reason: Refutation not found, incomplete strategy
% 23.70/3.82 % (498544)Time elapsed: 0.001 s
% 23.70/3.82 % (498544)Peak memory usage: 11 MB
% 23.70/3.82 % (498544)Instructions burned: 1 (million)
% 23.70/3.82 % (498544)------------------------------
% 23.70/3.82 % (498544)------------------------------
% 23.70/3.82 % (498542)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=3286902457:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2970 on theBenchmark for (2970ds/693Mi)
% 23.70/3.83 % (498548)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 23.70/3.83 % (498548)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=3333637258: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)
% 23.70/3.83 % (498548)Instruction limit reached!
% 23.70/3.83 % (498548)------------------------------
% 23.70/3.83 % (498548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.70/3.83 % (498548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.70/3.83 % (498548)CaDiCaL version: 2.1.3
% 23.70/3.83 % (498548)Termination reason: Instruction limit
% 23.70/3.83 % (498548)Termination phase: Saturation
% 23.70/3.83 % (498548)Time elapsed: 0.023 s
% 23.70/3.83 % (498548)Peak memory usage: 12 MB
% 23.70/3.83 % (498548)Instructions burned: 55 (million)
% 23.70/3.83 % (498550)dis+10_1_si=on:random_seed=2692304059:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2969 on theBenchmark for (2969ds/407Mi)
% 26.83/4.18 % (498550)Refutation not found, incomplete strategy
% 26.83/4.18 % (498550)------------------------------
% 26.83/4.18 % (498550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.83/4.18 % (498550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.83/4.18 % (498550)CaDiCaL version: 2.1.3
% 26.83/4.18 % (498550)Termination reason: Refutation not found, incomplete strategy
% 26.83/4.18 % (498550)Time elapsed: 0.001 s
% 26.83/4.18 % (498550)Peak memory usage: 11 MB
% 26.83/4.18 % (498550)------------------------------
% 26.83/4.18 % (498550)------------------------------
% 26.83/4.18 % (498552)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=4208822045:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/2240Mi)
% 26.83/4.18 % (498530)Instruction limit reached!
% 26.83/4.18 % (498530)------------------------------
% 26.83/4.18 % (498530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.83/4.18 % (498530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.83/4.18 % (498530)CaDiCaL version: 2.1.3
% 26.83/4.18 % (498530)Termination reason: Instruction limit
% 26.83/4.18 % (498530)Termination phase: Saturation
% 26.83/4.18 % (498530)Time elapsed: 0.371 s
% 26.83/4.18 % (498530)Peak memory usage: 13 MB
% 26.83/4.18 % (498530)Instructions burned: 493 (million)
% 26.83/4.18 % (498554)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=2727782662:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2967 on theBenchmark for (2967ds/336Mi)
% 26.83/4.18 % (498554)Refutation not found, incomplete strategy
% 26.83/4.18 % (498554)------------------------------
% 26.83/4.18 % (498554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.83/4.18 % (498554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.83/4.18 % (498554)CaDiCaL version: 2.1.3
% 26.83/4.18 % (498554)Termination reason: Refutation not found, incomplete strategy
% 26.83/4.18 % (498554)Time elapsed: 0.001 s
% 26.83/4.18 % (498554)Peak memory usage: 12 MB
% 26.83/4.18 % (498554)------------------------------
% 26.83/4.18 % (498554)------------------------------
% 26.83/4.18 % (498556)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=808617467:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2967 on theBenchmark for (2967ds/1142Mi)
% 26.83/4.18 % (498536)Instruction limit reached!
% 26.83/4.18 % (498536)------------------------------
% 26.83/4.18 % (498536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.83/4.18 % (498536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.83/4.18 % (498536)CaDiCaL version: 2.1.3
% 26.83/4.18 % (498536)Termination reason: Instruction limit
% 26.83/4.18 % (498536)Termination phase: Saturation
% 26.83/4.18 % (498536)Time elapsed: 0.456 s
% 26.83/4.18 % (498536)Peak memory usage: 12 MB
% 26.83/4.18 % (498536)Instructions burned: 670 (million)
% 26.83/4.18 % (498558)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3227888709:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2966 on theBenchmark for (2966ds/376Mi)
% 26.83/4.18 % (498558)Refutation not found, incomplete strategy
% 26.83/4.18 % (498558)------------------------------
% 26.83/4.18 % (498558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.83/4.18 % (498558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.83/4.18 % (498558)CaDiCaL version: 2.1.3
% 26.83/4.18 % (498558)Termination reason: Refutation not found, incomplete strategy
% 26.83/4.18 % (498558)Time elapsed: 0.001 s
% 26.83/4.18 % (498558)Peak memory usage: 12 MB
% 26.83/4.18 % (498558)------------------------------
% 26.83/4.18 % (498558)------------------------------
% 26.83/4.18 % (498542)Instruction limit reached!
% 26.83/4.18 % (498542)------------------------------
% 26.83/4.18 % (498542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.83/4.18 % (498542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.83/4.18 % (498542)CaDiCaL version: 2.1.3
% 26.83/4.18 % (498542)Termination reason: Instruction limit
% 26.83/4.18 % (498542)Termination phase: Saturation
% 26.83/4.18 % (498542)Time elapsed: 0.437 s
% 26.83/4.18 % (498542)Peak memory usage: 12 MB
% 26.83/4.18 % (498542)Instructions burned: 693 (million)
% 26.83/4.18 % (498560)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1450007590:i=766:bd=all:rtra=on_2966 on theBenchmark for (2966ds/766Mi)
% 28.51/4.40 % (498560)Refutation not found, incomplete strategy
% 28.51/4.40 % (498560)------------------------------
% 28.51/4.40 % (498560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.51/4.40 % (498560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.51/4.40 % (498560)CaDiCaL version: 2.1.3
% 28.51/4.40 % (498560)Termination reason: Refutation not found, incomplete strategy
% 28.51/4.40 % (498560)Time elapsed: 0.002 s
% 28.51/4.40 % (498560)Peak memory usage: 12 MB
% 28.51/4.40 % (498560)Instructions burned: 1 (million)
% 28.51/4.40 % (498560)------------------------------
% 28.51/4.40 % (498560)------------------------------
% 28.51/4.40 % (498561)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 28.51/4.40 % (498561)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2813112392: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)
% 28.51/4.40 % (498561)Refutation not found, incomplete strategy
% 28.51/4.40 % (498561)------------------------------
% 28.51/4.40 % (498561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.51/4.40 % (498561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.51/4.40 % (498561)CaDiCaL version: 2.1.3
% 28.51/4.40 % (498561)Termination reason: Refutation not found, incomplete strategy
% 28.51/4.40 % (498561)Time elapsed: 0.001 s
% 28.51/4.40 % (498561)Peak memory usage: 12 MB
% 28.51/4.40 % (498561)------------------------------
% 28.51/4.40 % (498561)------------------------------
% 28.51/4.40 % (498565)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2781323897: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)
% 28.51/4.40 % (498563)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=886026191:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2965 on theBenchmark for (2965ds/6359Mi)
% 28.51/4.40 % (498565)Refutation not found, incomplete strategy
% 28.51/4.41 % (498565)------------------------------
% 28.51/4.41 % (498565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.51/4.41 % (498565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.51/4.41 % (498565)CaDiCaL version: 2.1.3
% 28.51/4.41 % (498565)Termination reason: Refutation not found, incomplete strategy
% 28.51/4.41 % (498565)Time elapsed: 0.0000 s
% 28.51/4.41 % (498565)Peak memory usage: 11 MB
% 28.51/4.41 % (498565)------------------------------
% 28.51/4.41 % (498565)------------------------------
% 28.51/4.41 % (498541)Instruction limit reached!
% 28.51/4.41 % (498541)------------------------------
% 28.51/4.41 % (498541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.51/4.41 % (498541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.51/4.41 % (498541)CaDiCaL version: 2.1.3
% 28.51/4.41 % (498541)Termination reason: Instruction limit
% 28.51/4.41 % (498541)Termination phase: Saturation
% 28.51/4.41 % (498541)Time elapsed: 0.511 s
% 28.51/4.41 % (498541)Peak memory usage: 13 MB
% 28.51/4.41 % (498541)Instructions burned: 859 (million)
% 28.51/4.41 % (498568)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2464175723:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2965 on theBenchmark for (2965ds/53Mi)
% 28.51/4.41 % (498569)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=1645393014:s2a=on:i=876:s2at=6:nm=2:rtra=on_2965 on theBenchmark for (2965ds/876Mi)
% 28.51/4.41 % (498568)Instruction limit reached!
% 28.51/4.41 % (498568)------------------------------
% 28.51/4.41 % (498568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.51/4.41 % (498568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.51/4.41 % (498568)CaDiCaL version: 2.1.3
% 28.51/4.41 % (498568)Termination reason: Instruction limit
% 28.51/4.41 % (498568)Termination phase: Saturation
% 28.51/4.41 % (498568)Time elapsed: 0.031 s
% 28.51/4.41 % (498568)Peak memory usage: 12 MB
% 28.51/4.41 % (498568)Instructions burned: 53 (million)
% 28.51/4.41 % (498572)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1656673409:i=57:ep=R:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/57Mi)
% 28.51/4.49 % (498572)Instruction limit reached!
% 28.51/4.49 % (498572)------------------------------
% 28.51/4.49 % (498572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.51/4.49 % (498572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.51/4.49 % (498572)CaDiCaL version: 2.1.3
% 28.51/4.49 % (498572)Termination reason: Instruction limit
% 28.51/4.49 % (498572)Termination phase: Saturation
% 28.51/4.49 % (498572)Time elapsed: 0.029 s
% 28.51/4.49 % (498572)Peak memory usage: 12 MB
% 28.51/4.49 % (498572)Instructions burned: 58 (million)
% 28.51/4.49 % (498574)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 28.51/4.49 % (498574)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1831048579:i=306:bd=all:rtra=on_2964 on theBenchmark for (2964ds/306Mi)
% 28.51/4.49 % (498574)Refutation not found, incomplete strategy
% 28.51/4.49 % (498574)------------------------------
% 28.51/4.49 % (498574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.51/4.49 % (498574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.51/4.49 % (498574)CaDiCaL version: 2.1.3
% 28.51/4.49 % (498574)Termination reason: Refutation not found, incomplete strategy
% 28.51/4.49 % (498574)Time elapsed: 0.001 s
% 28.51/4.49 % (498574)Peak memory usage: 12 MB
% 28.51/4.49 % (498574)Instructions burned: 1 (million)
% 28.51/4.49 % (498574)------------------------------
% 28.51/4.49 % (498574)------------------------------
% 28.51/4.49 % (498576)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1082143597:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/262Mi)
% 28.51/4.49 % (498576)Refutation not found, incomplete strategy
% 28.51/4.49 % (498576)------------------------------
% 28.51/4.49 % (498576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.51/4.49 % (498576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.51/4.49 % (498576)CaDiCaL version: 2.1.3
% 28.51/4.49 % (498576)Termination reason: Refutation not found, incomplete strategy
% 28.51/4.49 % (498576)Time elapsed: 0.002 s
% 28.51/4.49 % (498576)Peak memory usage: 12 MB
% 28.51/4.49 % (498576)------------------------------
% 28.51/4.49 % (498576)------------------------------
% 28.51/4.49 % (498578)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 28.51/4.49 % (498578)ott+1002_16_sil=128000:si=on:random_seed=2204011303:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2963 on theBenchmark for (2963ds/409Mi)
% 28.51/4.49 % (498413)Instruction limit reached!
% 28.51/4.49 % (498413)------------------------------
% 28.51/4.49 % (498413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.51/4.49 % (498413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.51/4.49 % (498413)CaDiCaL version: 2.1.3
% 28.51/4.49 % (498413)Termination reason: Instruction limit
% 28.51/4.49 % (498413)Termination phase: Saturation
% 28.51/4.49 % (498413)Time elapsed: 2.855 s
% 28.51/4.49 % (498413)Peak memory usage: 16 MB
% 28.51/4.49 % (498413)Instructions burned: 9842 (million)
% 28.51/4.49 % (498580)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=2427896222:s2a=on:i=381:rtra=on_2961 on theBenchmark for (2961ds/381Mi)
% 28.51/4.49 % (498480)Instruction limit reached!
% 28.51/4.49 % (498480)------------------------------
% 28.51/4.49 % (498480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.51/4.49 % (498480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.51/4.49 % (498480)CaDiCaL version: 2.1.3
% 28.51/4.49 % (498480)Termination reason: Instruction limit
% 28.51/4.49 % (498480)Termination phase: Saturation
% 28.51/4.49 % (498480)Time elapsed: 1.954 s
% 28.51/4.49 % (498480)Peak memory usage: 17 MB
% 28.51/4.49 % (498480)Instructions burned: 2470 (million)
% 28.51/4.49 % (498582)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1059546967:cond=on:i=324:rtra=on:ntd=on_2961 on theBenchmark for (2961ds/324Mi)
% 28.51/4.49 % (498578)Instruction limit reached!
% 28.51/4.49 % (498578)------------------------------
% 28.51/4.49 % (498578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.51/4.49 % (498578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.51/4.49 % (498578)CaDiCaL version: 2.1.3
% 28.51/4.49 % (498578)Termination reason: Instruction limit
% 29.69/4.68 % (498578)Termination phase: Saturation
% 29.69/4.68 % (498578)Time elapsed: 0.246 s
% 29.69/4.68 % (498578)Peak memory usage: 13 MB
% 29.69/4.68 % (498578)Instructions burned: 409 (million)
% 29.69/4.68 % (498584)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=4291836350:i=240:kws=inv_precedence:rtra=on_2961 on theBenchmark for (2961ds/240Mi)
% 29.69/4.68 % (498584)Refutation not found, incomplete strategy
% 29.69/4.68 % (498584)------------------------------
% 29.69/4.68 % (498584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.69/4.68 % (498584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.69/4.68 % (498584)CaDiCaL version: 2.1.3
% 29.69/4.68 % (498584)Termination reason: Refutation not found, incomplete strategy
% 29.69/4.68 % (498584)Time elapsed: 0.002 s
% 29.69/4.68 % (498584)Peak memory usage: 12 MB
% 29.69/4.68 % (498584)Instructions burned: 1 (million)
% 29.69/4.68 % (498584)------------------------------
% 29.69/4.68 % (498584)------------------------------
% 29.69/4.68 % (498586)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 29.69/4.68 % (498586)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2151631578:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2960 on theBenchmark for (2960ds/124Mi)
% 29.69/4.68 % (498580)Instruction limit reached!
% 29.69/4.68 % (498580)------------------------------
% 29.69/4.68 % (498580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.69/4.68 % (498580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.69/4.68 % (498580)CaDiCaL version: 2.1.3
% 29.69/4.68 % (498580)Termination reason: Instruction limit
% 29.69/4.68 % (498580)Termination phase: Saturation
% 29.69/4.68 % (498580)Time elapsed: 0.136 s
% 29.69/4.68 % (498580)Peak memory usage: 12 MB
% 29.69/4.68 % (498580)Instructions burned: 383 (million)
% 29.69/4.68 % (498586)Instruction limit reached!
% 29.69/4.68 % (498586)------------------------------
% 29.69/4.68 % (498586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.69/4.68 % (498586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.69/4.68 % (498586)CaDiCaL version: 2.1.3
% 29.69/4.68 % (498586)Termination reason: Instruction limit
% 29.69/4.68 % (498586)Termination phase: Saturation
% 29.69/4.68 % (498586)Time elapsed: 0.049 s
% 29.69/4.68 % (498586)Peak memory usage: 12 MB
% 29.69/4.68 % (498586)Instructions burned: 125 (million)
% 29.69/4.68 % (498588)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3489841880:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2960 on theBenchmark for (2960ds/223Mi)
% 29.69/4.68 % (498589)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2790216635:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2960 on theBenchmark for (2960ds/282Mi)
% 29.69/4.68 % (498582)Instruction limit reached!
% 29.69/4.68 % (498582)------------------------------
% 29.69/4.68 % (498582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.69/4.68 % (498582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.69/4.68 % (498582)CaDiCaL version: 2.1.3
% 29.69/4.68 % (498582)Termination reason: Instruction limit
% 29.69/4.68 % (498582)Termination phase: Saturation
% 29.69/4.68 % (498582)Time elapsed: 0.196 s
% 29.69/4.68 % (498582)Peak memory usage: 12 MB
% 29.69/4.68 % (498582)Instructions burned: 324 (million)
% 29.69/4.68 % (498592)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=646453051:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/464Mi)
% 29.69/4.68 % (498592)Refutation not found, incomplete strategy
% 29.69/4.68 % (498592)------------------------------
% 29.69/4.68 % (498592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.69/4.68 % (498592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.69/4.68 % (498592)CaDiCaL version: 2.1.3
% 29.69/4.68 % (498592)Termination reason: Refutation not found, incomplete strategy
% 29.69/4.68 % (498592)Time elapsed: 0.001 s
% 29.69/4.68 % (498592)Peak memory usage: 11 MB
% 29.69/4.68 % (498592)Instructions burned: 1 (million)
% 29.69/4.68 % (498592)------------------------------
% 29.69/4.68 % (498592)------------------------------
% 29.69/4.68 % (498556)Instruction limit reached!
% 29.69/4.68 % (498556)------------------------------
% 29.69/4.68 % (498556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.69/4.68 % (498556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.75/4.94 % (498556)CaDiCaL version: 2.1.3
% 30.75/4.94 % (498556)Termination reason: Instruction limit
% 30.75/4.94 % (498556)Termination phase: Saturation
% 30.75/4.94 % (498556)Time elapsed: 0.809 s
% 30.75/4.94 % (498556)Peak memory usage: 14 MB
% 30.75/4.94 % (498556)Instructions burned: 1143 (million)
% 30.75/4.94 % (498594)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=3495829204:i=88:s2at=3:nm=2:rtra=on:rawr=on_2959 on theBenchmark for (2959ds/88Mi)
% 30.75/4.94 % (498595)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=801170445:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2959 on theBenchmark for (2959ds/280Mi)
% 30.75/4.94 % (498588)Instruction limit reached!
% 30.75/4.94 % (498588)------------------------------
% 30.75/4.94 % (498588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.75/4.94 % (498588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.75/4.94 % (498588)CaDiCaL version: 2.1.3
% 30.75/4.94 % (498588)Termination reason: Instruction limit
% 30.75/4.94 % (498588)Termination phase: Saturation
% 30.75/4.94 % (498588)Time elapsed: 0.135 s
% 30.75/4.94 % (498588)Peak memory usage: 13 MB
% 30.75/4.94 % (498588)Instructions burned: 223 (million)
% 30.75/4.94 % (498589)Instruction limit reached!
% 30.75/4.94 % (498589)------------------------------
% 30.75/4.94 % (498589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.75/4.94 % (498589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.75/4.94 % (498589)CaDiCaL version: 2.1.3
% 30.75/4.94 % (498589)Termination reason: Instruction limit
% 30.75/4.94 % (498589)Termination phase: Saturation
% 30.75/4.94 % (498589)Time elapsed: 0.127 s
% 30.75/4.94 % (498589)Peak memory usage: 12 MB
% 30.75/4.94 % (498589)Instructions burned: 284 (million)
% 30.75/4.94 % (498569)Instruction limit reached!
% 30.75/4.94 % (498569)------------------------------
% 30.75/4.94 % (498569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.75/4.94 % (498569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.75/4.94 % (498569)CaDiCaL version: 2.1.3
% 30.75/4.94 % (498569)Termination reason: Instruction limit
% 30.75/4.94 % (498569)Termination phase: Saturation
% 30.75/4.94 % (498569)Time elapsed: 0.655 s
% 30.75/4.94 % (498569)Peak memory usage: 13 MB
% 30.75/4.94 % (498569)Instructions burned: 876 (million)
% 30.75/4.94 % (498598)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 30.75/4.94 % (498598)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=472722261:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2958 on theBenchmark for (2958ds/4386Mi)
% 30.75/4.94 % (498599)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 30.75/4.94 % (498599)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 30.75/4.94 % (498599)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=3951995666:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2958 on theBenchmark for (2958ds/483Mi)
% 30.75/4.94 % (498599)Refutation not found, incomplete strategy
% 30.75/4.94 % (498599)------------------------------
% 30.75/4.94 % (498599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.75/4.94 % (498599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.75/4.94 % (498599)CaDiCaL version: 2.1.3
% 30.75/4.94 % (498599)Termination reason: Refutation not found, incomplete strategy
% 30.75/4.94 % (498599)Time elapsed: 0.001 s
% 30.75/4.94 % (498599)Peak memory usage: 12 MB
% 30.75/4.94 % (498599)------------------------------
% 30.75/4.94 % (498599)------------------------------
% 30.75/4.94 % (498594)Instruction limit reached!
% 30.75/4.94 % (498594)------------------------------
% 30.75/4.94 % (498594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.75/4.94 % (498594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.75/4.94 % (498594)CaDiCaL version: 2.1.3
% 30.75/4.94 % (498594)Termination reason: Instruction limit
% 30.75/4.94 % (498594)Termination phase: Saturation
% 30.75/4.94 % (498594)Time elapsed: 0.066 s
% 33.83/5.17 % (498594)Peak memory usage: 12 MB
% 33.83/5.17 % (498594)Instructions burned: 88 (million)
% 33.83/5.17 % (498603)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1756996164:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2958 on theBenchmark for (2958ds/176Mi)
% 33.83/5.17 % (498600)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1059093987:i=73:rtra=on_2958 on theBenchmark for (2958ds/73Mi)
% 33.83/5.17 % (498600)Refutation not found, incomplete strategy
% 33.83/5.17 % (498600)------------------------------
% 33.83/5.17 % (498600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.83/5.17 % (498600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.83/5.17 % (498600)CaDiCaL version: 2.1.3
% 33.83/5.17 % (498600)Termination reason: Refutation not found, incomplete strategy
% 33.83/5.17 % (498600)Time elapsed: 0.001 s
% 33.83/5.17 % (498600)Peak memory usage: 12 MB
% 33.83/5.17 % (498600)Instructions burned: 1 (million)
% 33.83/5.17 % (498600)------------------------------
% 33.83/5.17 % (498600)------------------------------
% 33.83/5.17 % (498604)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 33.83/5.17 % (498604)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3009611056:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2958 on theBenchmark for (2958ds/39Mi)
% 33.83/5.17 % (498607)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3803630642:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2957 on theBenchmark for (2957ds/708Mi)
% 33.83/5.17 % (498604)Instruction limit reached!
% 33.83/5.17 % (498604)------------------------------
% 33.83/5.17 % (498604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.83/5.17 % (498604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.83/5.17 % (498604)CaDiCaL version: 2.1.3
% 33.83/5.17 % (498604)Termination reason: Instruction limit
% 33.83/5.17 % (498604)Termination phase: Saturation
% 33.83/5.17 % (498604)Time elapsed: 0.034 s
% 33.83/5.17 % (498604)Peak memory usage: 12 MB
% 33.83/5.17 % (498604)Instructions burned: 39 (million)
% 33.83/5.17 % (498610)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 33.83/5.17 % (498610)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=1743228090:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/252Mi)
% 33.83/5.17 % (498595)Instruction limit reached!
% 33.83/5.17 % (498595)------------------------------
% 33.83/5.17 % (498595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.83/5.17 % (498595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.83/5.17 % (498595)CaDiCaL version: 2.1.3
% 33.83/5.17 % (498595)Termination reason: Instruction limit
% 33.83/5.17 % (498595)Termination phase: Saturation
% 33.83/5.17 % (498595)Time elapsed: 0.173 s
% 33.83/5.17 % (498595)Peak memory usage: 13 MB
% 33.83/5.17 % (498595)Instructions burned: 281 (million)
% 33.83/5.17 % (498612)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=452717808:i=823:fsr=off:rtra=on_2957 on theBenchmark for (2957ds/823Mi)
% 33.83/5.17 % (498603)Instruction limit reached!
% 33.83/5.17 % (498603)------------------------------
% 33.83/5.17 % (498603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.83/5.17 % (498603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.83/5.17 % (498603)CaDiCaL version: 2.1.3
% 33.83/5.17 % (498603)Termination reason: Instruction limit
% 33.83/5.17 % (498603)Termination phase: Saturation
% 33.83/5.17 % (498603)Time elapsed: 0.141 s
% 33.83/5.17 % (498603)Peak memory usage: 12 MB
% 33.83/5.17 % (498603)Instructions burned: 177 (million)
% 33.83/5.17 % (498614)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 33.83/5.17 % (498614)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=219269833:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2956 on theBenchmark for (2956ds/16202Mi)
% 33.83/5.17 % (498614)Refutation not found, incomplete strategy
% 33.83/5.17 % (498614)------------------------------
% 34.89/5.33 % (498614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.89/5.33 % (498614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.89/5.33 % (498614)CaDiCaL version: 2.1.3
% 34.89/5.33 % (498614)Termination reason: Refutation not found, incomplete strategy
% 34.89/5.33 % (498614)Time elapsed: 0.002 s
% 34.89/5.33 % (498614)Peak memory usage: 11 MB
% 34.89/5.33 % (498614)Instructions burned: 1 (million)
% 34.89/5.33 % (498614)------------------------------
% 34.89/5.33 % (498614)------------------------------
% 34.89/5.33 % (498610)Instruction limit reached!
% 34.89/5.33 % (498610)------------------------------
% 34.89/5.33 % (498610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.89/5.33 % (498610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.89/5.33 % (498610)CaDiCaL version: 2.1.3
% 34.89/5.33 % (498610)Termination reason: Instruction limit
% 34.89/5.33 % (498610)Termination phase: Saturation
% 34.89/5.33 % (498610)Time elapsed: 0.108 s
% 34.89/5.33 % (498610)Peak memory usage: 13 MB
% 34.89/5.33 % (498610)Instructions burned: 254 (million)
% 34.89/5.33 % (498617)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 34.89/5.33 % (498617)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 34.89/5.33 % (498617)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=199477915:i=177:add=on:bd=preordered:rtra=on:rawr=on_2956 on theBenchmark for (2956ds/177Mi)
% 34.89/5.33 % (498616)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3111252679:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2956 on theBenchmark for (2956ds/300Mi)
% 34.89/5.33 % (498617)Instruction limit reached!
% 34.89/5.33 % (498617)------------------------------
% 34.89/5.33 % (498617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.89/5.33 % (498617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.89/5.33 % (498617)CaDiCaL version: 2.1.3
% 34.89/5.33 % (498617)Termination reason: Instruction limit
% 34.89/5.33 % (498617)Termination phase: Saturation
% 34.89/5.33 % (498617)Time elapsed: 0.077 s
% 34.89/5.33 % (498617)Peak memory usage: 13 MB
% 34.89/5.33 % (498617)Instructions burned: 179 (million)
% 34.89/5.33 % (498620)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2609113827:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2955 on theBenchmark for (2955ds/715Mi)
% 34.89/5.33 % (498620)Refutation not found, incomplete strategy
% 34.89/5.33 % (498620)------------------------------
% 34.89/5.33 % (498620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.89/5.33 % (498620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.89/5.33 % (498620)CaDiCaL version: 2.1.3
% 34.89/5.33 % (498620)Termination reason: Refutation not found, incomplete strategy
% 34.89/5.33 % (498620)Time elapsed: 0.001 s
% 34.89/5.33 % (498620)Peak memory usage: 11 MB
% 34.89/5.33 % (498620)Instructions burned: 2 (million)
% 34.89/5.33 % (498620)------------------------------
% 34.89/5.33 % (498620)------------------------------
% 34.89/5.33 % (498622)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 34.89/5.33 % (498622)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 34.89/5.33 % (498622)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=1545852787:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2955 on theBenchmark for (2955ds/230Mi)
% 34.89/5.33 % (498622)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 34.89/5.33 % (498622)Instruction limit reached!
% 34.89/5.33 % (498622)------------------------------
% 34.89/5.33 % (498622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.89/5.33 % (498622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.89/5.33 % (498622)CaDiCaL version: 2.1.3
% 34.89/5.33 % (498622)Termination reason: Instruction limit
% 34.89/5.33 % (498622)Termination phase: Saturation
% 34.89/5.33 % (498622)Time elapsed: 0.098 s
% 34.89/5.33 % (498622)Peak memory usage: 13 MB
% 34.89/5.33 % (498622)Instructions burned: 231 (million)
% 34.89/5.33 % (498624)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1369172322:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2953 on theBenchmark for (2953ds/606Mi)
% 34.85/5.44 % (498616)Instruction limit reached!
% 34.85/5.44 % (498616)------------------------------
% 34.85/5.44 % (498616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.44 % (498616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.44 % (498616)CaDiCaL version: 2.1.3
% 34.85/5.44 % (498616)Termination reason: Instruction limit
% 34.85/5.44 % (498616)Termination phase: Saturation
% 34.85/5.44 % (498616)Time elapsed: 0.230 s
% 34.85/5.44 % (498616)Peak memory usage: 12 MB
% 34.85/5.44 % (498616)Instructions burned: 301 (million)
% 34.85/5.44 % (498626)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 34.85/5.44 % (498626)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2357347636:lrd=on:i=841:nm=0:rtra=on_2953 on theBenchmark for (2953ds/841Mi)
% 34.85/5.44 % (498607)Instruction limit reached!
% 34.85/5.44 % (498607)------------------------------
% 34.85/5.44 % (498607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.44 % (498607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.44 % (498607)CaDiCaL version: 2.1.3
% 34.85/5.44 % (498607)Termination reason: Instruction limit
% 34.85/5.44 % (498607)Termination phase: Saturation
% 34.85/5.44 % (498607)Time elapsed: 0.450 s
% 34.85/5.44 % (498607)Peak memory usage: 13 MB
% 34.85/5.44 % (498607)Instructions burned: 708 (million)
% 34.85/5.44 % (498552)Instruction limit reached!
% 34.85/5.44 % (498552)------------------------------
% 34.85/5.44 % (498552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.44 % (498552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.44 % (498552)CaDiCaL version: 2.1.3
% 34.85/5.44 % (498552)Termination reason: Instruction limit
% 34.85/5.44 % (498552)Termination phase: Saturation
% 34.85/5.44 % (498552)Time elapsed: 1.632 s
% 34.85/5.44 % (498552)Peak memory usage: 17 MB
% 34.85/5.44 % (498552)Instructions burned: 2240 (million)
% 34.85/5.44 % (498628)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1152150341:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2953 on theBenchmark for (2953ds/445Mi)
% 34.85/5.44 % (498629)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3389959514:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2953 on theBenchmark for (2953ds/71Mi)
% 34.85/5.44 % (498629)Instruction limit reached!
% 34.85/5.44 % (498629)------------------------------
% 34.85/5.44 % (498629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.44 % (498629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.44 % (498629)CaDiCaL version: 2.1.3
% 34.85/5.44 % (498629)Termination reason: Instruction limit
% 34.85/5.44 % (498629)Termination phase: Saturation
% 34.85/5.44 % (498629)Time elapsed: 0.061 s
% 34.85/5.44 % (498629)Peak memory usage: 12 MB
% 34.85/5.44 % (498629)Instructions burned: 71 (million)
% 34.85/5.44 % (498632)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 34.85/5.44 % (498632)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 34.85/5.44 % (498632)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1396279305:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2952 on theBenchmark for (2952ds/100Mi)
% 34.85/5.44 % (498632)Instruction limit reached!
% 34.85/5.44 % (498632)------------------------------
% 34.85/5.44 % (498632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.85/5.44 % (498632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.85/5.44 % (498632)CaDiCaL version: 2.1.3
% 34.85/5.44 % (498632)Termination reason: Instruction limit
% 34.85/5.44 % (498632)Termination phase: Saturation
% 34.85/5.44 % (498632)Time elapsed: 0.053 s
% 34.85/5.44 % (498632)Peak memory usage: 12 MB
% 34.85/5.44 % (498632)Instructions burned: 101 (million)
% 34.85/5.44 % (498634)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 35.72/5.56 % (498634)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=2249788235:i=1352:add=on:aac=none:rtra=on_2951 on theBenchmark for (2951ds/1352Mi)
% 35.72/5.56 % (498634)Refutation not found, incomplete strategy
% 35.72/5.56 % (498634)------------------------------
% 35.72/5.56 % (498634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.72/5.56 % (498634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.72/5.56 % (498634)CaDiCaL version: 2.1.3
% 35.72/5.56 % (498634)Termination reason: Refutation not found, incomplete strategy
% 35.72/5.56 % (498634)Time elapsed: 0.002 s
% 35.72/5.56 % (498634)Peak memory usage: 12 MB
% 35.72/5.56 % (498634)Instructions burned: 2 (million)
% 35.72/5.56 % (498634)------------------------------
% 35.72/5.56 % (498634)------------------------------
% 35.72/5.56 % (498636)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=124899212:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2951 on theBenchmark for (2951ds/646Mi)
% 35.72/5.56 % (498612)Instruction limit reached!
% 35.72/5.56 % (498612)------------------------------
% 35.72/5.56 % (498612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.72/5.56 % (498612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.72/5.56 % (498612)CaDiCaL version: 2.1.3
% 35.72/5.56 % (498612)Termination reason: Instruction limit
% 35.72/5.56 % (498612)Termination phase: Saturation
% 35.72/5.56 % (498612)Time elapsed: 0.612 s
% 35.72/5.56 % (498612)Peak memory usage: 13 MB
% 35.72/5.56 % (498612)Instructions burned: 824 (million)
% 35.72/5.56 % (498638)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=1167880438:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2950 on theBenchmark for (2950ds/1924Mi)
% 35.72/5.56 % (498638)Refutation not found, incomplete strategy
% 35.72/5.56 % (498638)------------------------------
% 35.72/5.56 % (498638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.72/5.56 % (498638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.72/5.56 % (498638)CaDiCaL version: 2.1.3
% 35.72/5.56 % (498638)Termination reason: Refutation not found, incomplete strategy
% 35.72/5.56 % (498638)Time elapsed: 0.0000 s
% 35.72/5.56 % (498638)Peak memory usage: 11 MB
% 35.72/5.56 % (498638)------------------------------
% 35.72/5.56 % (498638)------------------------------
% 35.72/5.56 % (498640)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3335409240:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2950 on theBenchmark for (2950ds/984Mi)
% 35.72/5.56 % (498640)Refutation not found, incomplete strategy
% 35.72/5.56 % (498640)------------------------------
% 35.72/5.56 % (498640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.72/5.56 % (498640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.72/5.56 % (498640)CaDiCaL version: 2.1.3
% 35.72/5.56 % (498640)Termination reason: Refutation not found, incomplete strategy
% 35.72/5.56 % (498640)Time elapsed: 0.001 s
% 35.72/5.56 % (498640)Peak memory usage: 12 MB
% 35.72/5.56 % (498640)Instructions burned: 1 (million)
% 35.72/5.56 % (498640)------------------------------
% 35.72/5.56 % (498640)------------------------------
% 35.72/5.56 % (498626)Instruction limit reached!
% 35.72/5.56 % (498626)------------------------------
% 35.72/5.56 % (498626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.72/5.56 % (498626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.72/5.56 % (498626)CaDiCaL version: 2.1.3
% 35.72/5.56 % (498626)Termination reason: Instruction limit
% 35.72/5.56 % (498626)Termination phase: Saturation
% 35.72/5.56 % (498626)Time elapsed: 0.332 s
% 35.72/5.56 % (498626)Peak memory usage: 13 MB
% 35.72/5.56 % (498626)Instructions burned: 842 (million)
% 35.72/5.56 % (498642)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=3338948788:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2950 on theBenchmark for (2950ds/592Mi)
% 35.72/5.56 % (498643)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=3609249288:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2950 on theBenchmark for (2950ds/872Mi)
% 35.72/5.56 % (498643)Refutation not found, incomplete strategy
% 35.72/5.56 % (498643)------------------------------
% 36.63/5.77 % (498643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.77 % (498643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.77 % (498643)CaDiCaL version: 2.1.3
% 36.63/5.77 % (498643)Termination reason: Refutation not found, incomplete strategy
% 36.63/5.77 % (498643)Time elapsed: 0.001 s
% 36.63/5.77 % (498643)Peak memory usage: 11 MB
% 36.63/5.77 % (498643)------------------------------
% 36.63/5.77 % (498643)------------------------------
% 36.63/5.77 % (498646)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 36.63/5.77 % (498646)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=3562023177:i=999:add=on:rtra=on_2949 on theBenchmark for (2949ds/999Mi)
% 36.63/5.77 % (498628)Instruction limit reached!
% 36.63/5.77 % (498628)------------------------------
% 36.63/5.77 % (498628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.77 % (498628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.77 % (498628)CaDiCaL version: 2.1.3
% 36.63/5.77 % (498628)Termination reason: Instruction limit
% 36.63/5.77 % (498628)Termination phase: Saturation
% 36.63/5.77 % (498628)Time elapsed: 0.370 s
% 36.63/5.77 % (498628)Peak memory usage: 14 MB
% 36.63/5.77 % (498628)Instructions burned: 445 (million)
% 36.63/5.77 % (498648)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 36.63/5.77 % (498624)Instruction limit reached!
% 36.63/5.77 % (498624)------------------------------
% 36.63/5.77 % (498624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.77 % (498624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.77 % (498624)CaDiCaL version: 2.1.3
% 36.63/5.77 % (498624)Termination reason: Instruction limit
% 36.63/5.77 % (498624)Termination phase: Saturation
% 36.63/5.77 % (498624)Time elapsed: 0.466 s
% 36.63/5.77 % (498624)Peak memory usage: 12 MB
% 36.63/5.77 % (498624)Instructions burned: 607 (million)
% 36.63/5.77 % (498648)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=1013897345:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2949 on theBenchmark for (2949ds/244Mi)
% 36.63/5.77 % (498648)Refutation not found, incomplete strategy
% 36.63/5.77 % (498648)------------------------------
% 36.63/5.77 % (498648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.77 % (498648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.77 % (498648)CaDiCaL version: 2.1.3
% 36.63/5.77 % (498648)Termination reason: Refutation not found, incomplete strategy
% 36.63/5.77 % (498648)Time elapsed: 0.002 s
% 36.63/5.77 % (498648)Peak memory usage: 12 MB
% 36.63/5.77 % (498648)Instructions burned: 2 (million)
% 36.63/5.77 % (498648)------------------------------
% 36.63/5.77 % (498648)------------------------------
% 36.63/5.77 % (498651)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=952307580:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2948 on theBenchmark for (2948ds/7795Mi)
% 36.63/5.77 % (498651)Refutation not found, incomplete strategy
% 36.63/5.77 % (498651)------------------------------
% 36.63/5.77 % (498651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.77 % (498651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.77 % (498651)CaDiCaL version: 2.1.3
% 36.63/5.77 % (498651)Termination reason: Refutation not found, incomplete strategy
% 36.63/5.77 % (498651)Time elapsed: 0.0000 s
% 36.63/5.77 % (498651)Peak memory usage: 11 MB
% 36.63/5.77 % (498651)------------------------------
% 36.63/5.77 % (498651)------------------------------
% 36.63/5.77 % (498650)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3869928741:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2949 on theBenchmark for (2949ds/113Mi)
% 36.63/5.77 % (498650)Refutation not found, incomplete strategy
% 36.63/5.77 % (498650)------------------------------
% 36.63/5.77 % (498650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.77 % (498650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.77 % (498650)CaDiCaL version: 2.1.3
% 36.63/5.77 % (498650)Termination reason: Refutation not found, incomplete strategy
% 38.28/5.97 % (498650)Time elapsed: 0.002 s
% 38.28/5.97 % (498650)Peak memory usage: 12 MB
% 38.28/5.97 % (498650)Instructions burned: 1 (million)
% 38.28/5.97 % (498650)------------------------------
% 38.28/5.97 % (498650)------------------------------
% 38.28/5.97 % (498655)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 38.28/5.97 % (498653)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=49559241:st=2:i=5026:sd=1:rtra=on:ss=axioms_2948 on theBenchmark for (2948ds/5026Mi)
% 38.28/5.97 % (498655)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=3489689106:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2948 on theBenchmark for (2948ds/763Mi)
% 38.28/5.97 % (498653)Refutation not found, incomplete strategy
% 38.28/5.97 % (498653)------------------------------
% 38.28/5.97 % (498653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.28/5.97 % (498653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.28/5.97 % (498653)CaDiCaL version: 2.1.3
% 38.28/5.97 % (498653)Termination reason: Refutation not found, incomplete strategy
% 38.28/5.97 % (498653)Time elapsed: 0.001 s
% 38.28/5.97 % (498653)Peak memory usage: 12 MB
% 38.28/5.97 % (498653)------------------------------
% 38.28/5.97 % (498653)------------------------------
% 38.28/5.97 % (498655)Refutation not found, incomplete strategy
% 38.28/5.97 % (498655)------------------------------
% 38.28/5.97 % (498655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.28/5.97 % (498655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.28/5.97 % (498655)CaDiCaL version: 2.1.3
% 38.28/5.97 % (498655)Termination reason: Refutation not found, incomplete strategy
% 38.28/5.97 % (498655)Time elapsed: 0.002 s
% 38.28/5.97 % (498655)Peak memory usage: 11 MB
% 38.28/5.97 % (498655)Instructions burned: 1 (million)
% 38.28/5.97 % (498655)------------------------------
% 38.28/5.97 % (498655)------------------------------
% 38.28/5.97 % (498659)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 38.28/5.97 % (498658)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4261178238:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2948 on theBenchmark for (2948ds/1144Mi)
% 38.28/5.97 % (498658)Refutation not found, incomplete strategy
% 38.28/5.97 % (498658)------------------------------
% 38.28/5.97 % (498658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.28/5.97 % (498658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.28/5.97 % (498658)CaDiCaL version: 2.1.3
% 38.28/5.97 % (498658)Termination reason: Refutation not found, incomplete strategy
% 38.28/5.97 % (498658)Time elapsed: 0.001 s
% 38.28/5.97 % (498658)Peak memory usage: 11 MB
% 38.28/5.97 % (498658)------------------------------
% 38.28/5.97 % (498658)------------------------------
% 38.28/5.97 % (498659)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=1795580146: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)
% 38.28/5.97 % (498662)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=3060922605:i=1724:fsr=off:rtra=on:fe=abstraction_2948 on theBenchmark for (2948ds/1724Mi)
% 38.28/5.97 % (498659)Instruction limit reached!
% 38.28/5.97 % (498659)------------------------------
% 38.28/5.97 % (498659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.28/5.97 % (498659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.28/5.97 % (498659)CaDiCaL version: 2.1.3
% 38.28/5.97 % (498659)Termination reason: Instruction limit
% 38.28/5.97 % (498659)Termination phase: Saturation
% 38.28/5.97 % (498659)Time elapsed: 0.036 s
% 38.28/5.97 % (498659)Peak memory usage: 12 MB
% 38.28/5.97 % (498659)Instructions burned: 53 (million)
% 38.28/5.97 % (498636)Instruction limit reached!
% 38.28/5.97 % (498636)------------------------------
% 38.28/5.97 % (498636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.28/5.97 % (498636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.28/5.97 % (498636)CaDiCaL version: 2.1.3
% 38.28/5.97 % (498636)Termination reason: Instruction limit
% 38.28/5.97 % (498636)Termination phase: Saturation
% 38.28/5.97 % (498636)Time elapsed: 0.361 s
% 38.28/5.97 % (498636)Peak memory usage: 14 MB
% 43.53/6.69 % (498636)Instructions burned: 647 (million)
% 43.53/6.69 % (498664)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=966960044:i=439:add=on:slsql=off:rtra=on:ntd=on_2947 on theBenchmark for (2947ds/439Mi)
% 43.53/6.69 % (498665)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2794880336:i=6395:sd=1:rtra=on:ss=axioms_2947 on theBenchmark for (2947ds/6395Mi)
% 43.53/6.69 % (498665)Refutation not found, incomplete strategy
% 43.53/6.69 % (498665)------------------------------
% 43.53/6.69 % (498665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.53/6.69 % (498665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/6.69 % (498665)CaDiCaL version: 2.1.3
% 43.53/6.69 % (498665)Termination reason: Refutation not found, incomplete strategy
% 43.53/6.69 % (498665)Time elapsed: 0.001 s
% 43.53/6.69 % (498665)Peak memory usage: 12 MB
% 43.53/6.69 % (498665)------------------------------
% 43.53/6.69 % (498665)------------------------------
% 43.53/6.69 % (498668)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 43.53/6.69 % (498668)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=1672761467:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2947 on theBenchmark for (2947ds/6762Mi)
% 43.53/6.69 % (498668)Refutation not found, incomplete strategy
% 43.53/6.69 % (498668)------------------------------
% 43.53/6.69 % (498668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.53/6.69 % (498668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/6.69 % (498668)CaDiCaL version: 2.1.3
% 43.53/6.69 % (498668)Termination reason: Refutation not found, incomplete strategy
% 43.53/6.69 % (498668)Time elapsed: 0.001 s
% 43.53/6.69 % (498668)Peak memory usage: 11 MB
% 43.53/6.69 % (498668)------------------------------
% 43.53/6.69 % (498668)------------------------------
% 43.53/6.69 % (498670)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 43.53/6.69 % (498670)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=1171146870:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2946 on theBenchmark for (2946ds/376Mi)
% 43.53/6.69 % (498646)Instruction limit reached!
% 43.53/6.69 % (498646)------------------------------
% 43.53/6.69 % (498646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.53/6.69 % (498646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/6.69 % (498646)CaDiCaL version: 2.1.3
% 43.53/6.69 % (498646)Termination reason: Instruction limit
% 43.53/6.69 % (498646)Termination phase: Saturation
% 43.53/6.69 % (498646)Time elapsed: 0.391 s
% 43.53/6.69 % (498646)Peak memory usage: 14 MB
% 43.53/6.69 % (498646)Instructions burned: 1000 (million)
% 43.53/6.69 % (498642)Instruction limit reached!
% 43.53/6.69 % (498642)------------------------------
% 43.53/6.69 % (498642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.53/6.69 % (498642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/6.69 % (498642)CaDiCaL version: 2.1.3
% 43.53/6.69 % (498642)Termination reason: Instruction limit
% 43.53/6.69 % (498642)Termination phase: Saturation
% 43.53/6.69 % (498642)Time elapsed: 0.435 s
% 43.53/6.69 % (498642)Peak memory usage: 13 MB
% 43.53/6.69 % (498642)Instructions burned: 594 (million)
% 43.53/6.69 % (498672)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=686577768:i=965:bd=all:ins=4:rtra=on_2945 on theBenchmark for (2945ds/965Mi)
% 43.53/6.69 % (498673)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3815367220:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2945 on theBenchmark for (2945ds/5013Mi)
% 43.53/6.69 % (498673)Refutation not found, incomplete strategy
% 43.53/6.69 % (498673)------------------------------
% 43.53/6.69 % (498673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.53/6.69 % (498673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/6.69 % (498673)CaDiCaL version: 2.1.3
% 43.53/6.69 % (498673)Termination reason: Refutation not found, incomplete strategy
% 43.53/6.69 % (498673)Time elapsed: 0.001 s
% 43.53/6.69 % (498673)Peak memory usage: 11 MB
% 43.53/6.69 % (498673)------------------------------
% 43.53/6.69 % (498673)------------------------------
% 47.22/7.13 % (498676)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=2641042988:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2945 on theBenchmark for (2945ds/1583Mi)
% 47.22/7.13 % (498664)Instruction limit reached!
% 47.22/7.13 % (498664)------------------------------
% 47.22/7.13 % (498664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.22/7.13 % (498664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.22/7.13 % (498664)CaDiCaL version: 2.1.3
% 47.22/7.13 % (498664)Termination reason: Instruction limit
% 47.22/7.13 % (498664)Termination phase: Saturation
% 47.22/7.13 % (498664)Time elapsed: 0.256 s
% 47.22/7.13 % (498664)Peak memory usage: 12 MB
% 47.22/7.13 % (498664)Instructions burned: 440 (million)
% 47.22/7.13 % (498678)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 47.22/7.13 % (498678)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 47.22/7.13 % (498678)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 47.22/7.13 % (498678)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 47.22/7.13 % (498678)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=2508110596:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2944 on theBenchmark for (2944ds/1774Mi)
% 47.22/7.13 % (498678)Refutation not found, incomplete strategy
% 47.22/7.13 % (498678)------------------------------
% 47.22/7.13 % (498678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.22/7.13 % (498678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.22/7.13 % (498678)CaDiCaL version: 2.1.3
% 47.22/7.13 % (498678)Termination reason: Refutation not found, incomplete strategy
% 47.22/7.13 % (498678)Time elapsed: 0.001 s
% 47.22/7.13 % (498678)Peak memory usage: 12 MB
% 47.22/7.13 % (498678)------------------------------
% 47.22/7.13 % (498678)------------------------------
% 47.22/7.13 % (498680)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=277776973:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2944 on theBenchmark for (2944ds/515Mi)
% 47.22/7.13 % (498680)Refutation not found, incomplete strategy
% 47.22/7.13 % (498680)------------------------------
% 47.22/7.13 % (498680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.22/7.13 % (498680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.22/7.13 % (498680)CaDiCaL version: 2.1.3
% 47.22/7.13 % (498680)Termination reason: Refutation not found, incomplete strategy
% 47.22/7.13 % (498680)Time elapsed: 0.001 s
% 47.22/7.13 % (498680)Peak memory usage: 12 MB
% 47.22/7.13 % (498680)------------------------------
% 47.22/7.13 % (498680)------------------------------
% 47.22/7.13 % (498682)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 47.22/7.13 % (498682)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=4289256527:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2944 on theBenchmark for (2944ds/1297Mi)
% 47.22/7.13 % (498670)Instruction limit reached!
% 47.22/7.13 % (498670)------------------------------
% 47.22/7.13 % (498670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.22/7.13 % (498670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.22/7.13 % (498670)CaDiCaL version: 2.1.3
% 47.22/7.13 % (498670)Termination reason: Instruction limit
% 47.22/7.13 % (498670)Termination phase: Saturation
% 47.22/7.13 % (498670)Time elapsed: 0.279 s
% 47.22/7.13 % (498670)Peak memory usage: 14 MB
% 47.22/7.13 % (498670)Instructions burned: 377 (million)
% 47.22/7.13 % (498684)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=2989537802:s2a=on:i=611:rtra=on:gsp=on_2943 on theBenchmark for (2943ds/611Mi)
% 47.22/7.13 % (498684)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 50.22/7.61 % (498672)Instruction limit reached!
% 50.22/7.61 % (498672)------------------------------
% 50.22/7.61 % (498672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.22/7.61 % (498672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.22/7.61 % (498672)CaDiCaL version: 2.1.3
% 50.22/7.61 % (498672)Termination reason: Instruction limit
% 50.22/7.61 % (498672)Termination phase: Saturation
% 50.22/7.61 % (498672)Time elapsed: 0.375 s
% 50.22/7.61 % (498672)Peak memory usage: 16 MB
% 50.22/7.61 % (498672)Instructions burned: 967 (million)
% 50.22/7.61 % (498686)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 50.22/7.61 % (498686)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=17305684:i=72:bd=all:rtra=on_2941 on theBenchmark for (2941ds/72Mi)
% 50.22/7.61 % (498686)Refutation not found, incomplete strategy
% 50.22/7.61 % (498686)------------------------------
% 50.22/7.61 % (498686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.22/7.61 % (498686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.22/7.61 % (498686)CaDiCaL version: 2.1.3
% 50.22/7.61 % (498686)Termination reason: Refutation not found, incomplete strategy
% 50.22/7.61 % (498686)Time elapsed: 0.001 s
% 50.22/7.61 % (498686)Peak memory usage: 12 MB
% 50.22/7.61 % (498686)Instructions burned: 1 (million)
% 50.22/7.61 % (498686)------------------------------
% 50.22/7.61 % (498686)------------------------------
% 50.22/7.61 % (498688)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=3506268009:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2941 on theBenchmark for (2941ds/6580Mi)
% 50.22/7.61 % (498684)Instruction limit reached!
% 50.22/7.61 % (498684)------------------------------
% 50.22/7.61 % (498684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.22/7.61 % (498684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.22/7.61 % (498684)CaDiCaL version: 2.1.3
% 50.22/7.61 % (498684)Termination reason: Instruction limit
% 50.22/7.61 % (498684)Termination phase: Saturation
% 50.22/7.61 % (498684)Time elapsed: 0.402 s
% 50.22/7.61 % (498684)Peak memory usage: 13 MB
% 50.22/7.61 % (498684)Instructions burned: 611 (million)
% 50.22/7.61 % (498690)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=455020628:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2939 on theBenchmark for (2939ds/6209Mi)
% 50.22/7.61 % (498690)Refutation not found, incomplete strategy
% 50.22/7.61 % (498690)------------------------------
% 50.22/7.61 % (498690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.22/7.61 % (498690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.22/7.61 % (498690)CaDiCaL version: 2.1.3
% 50.22/7.61 % (498690)Termination reason: Refutation not found, incomplete strategy
% 50.22/7.61 % (498690)Time elapsed: 0.001 s
% 50.22/7.61 % (498690)Peak memory usage: 12 MB
% 50.22/7.61 % (498690)------------------------------
% 50.22/7.61 % (498690)------------------------------
% 50.22/7.61 % (498692)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=2618452355:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2939 on theBenchmark for (2939ds/1003Mi)
% 50.22/7.61 % (498682)Instruction limit reached!
% 50.22/7.61 % (498682)------------------------------
% 50.22/7.61 % (498682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.22/7.61 % (498682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.22/7.61 % (498682)CaDiCaL version: 2.1.3
% 50.22/7.61 % (498682)Termination reason: Instruction limit
% 50.22/7.61 % (498682)Termination phase: Saturation
% 50.22/7.61 % (498682)Time elapsed: 0.722 s
% 50.22/7.61 % (498682)Peak memory usage: 13 MB
% 50.22/7.61 % (498682)Instructions burned: 1298 (million)
% 50.22/7.61 % (498694)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 50.22/7.61 % (498694)ott+1002_16_sil=128000:si=on:random_seed=1897390358:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2936 on theBenchmark for (2936ds/409Mi)
% 50.22/7.61 % (498662)Instruction limit reached!
% 50.22/7.61 % (498662)------------------------------
% 50.22/7.61 % (498662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.22/7.61 % (498662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.98 % (498662)CaDiCaL version: 2.1.3
% 51.96/7.98 % (498662)Termination reason: Instruction limit
% 51.96/7.98 % (498662)Termination phase: Saturation
% 51.96/7.98 % (498662)Time elapsed: 1.173 s
% 51.96/7.98 % (498662)Peak memory usage: 13 MB
% 51.96/7.98 % (498662)Instructions burned: 1725 (million)
% 51.96/7.98 % (498696)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=410878327:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2936 on theBenchmark for (2936ds/403Mi)
% 51.96/7.98 % (498696)Refutation not found, incomplete strategy
% 51.96/7.98 % (498696)------------------------------
% 51.96/7.98 % (498696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.98 % (498696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.98 % (498696)CaDiCaL version: 2.1.3
% 51.96/7.98 % (498696)Termination reason: Refutation not found, incomplete strategy
% 51.96/7.98 % (498696)Time elapsed: 0.002 s
% 51.96/7.98 % (498696)Peak memory usage: 11 MB
% 51.96/7.98 % (498696)Instructions burned: 1 (million)
% 51.96/7.98 % (498696)------------------------------
% 51.96/7.98 % (498696)------------------------------
% 51.96/7.98 % (498698)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=2852299084:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2935 on theBenchmark for (2935ds/6843Mi)
% 51.96/7.98 % (498698)Refutation not found, incomplete strategy
% 51.96/7.98 % (498698)------------------------------
% 51.96/7.98 % (498698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.98 % (498698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.98 % (498698)CaDiCaL version: 2.1.3
% 51.96/7.98 % (498698)Termination reason: Refutation not found, incomplete strategy
% 51.96/7.98 % (498698)Time elapsed: 0.001 s
% 51.96/7.98 % (498698)Peak memory usage: 11 MB
% 51.96/7.98 % (498698)Instructions burned: 1 (million)
% 51.96/7.98 % (498698)------------------------------
% 51.96/7.98 % (498698)------------------------------
% 51.96/7.98 % (498700)lrs+10_2:1_si=on:random_seed=2774311035:s2a=on:i=506:rtra=on:fe=abstraction_2935 on theBenchmark for (2935ds/506Mi)
% 51.96/7.98 % (498694)Instruction limit reached!
% 51.96/7.98 % (498694)------------------------------
% 51.96/7.98 % (498694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.98 % (498694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.98 % (498694)CaDiCaL version: 2.1.3
% 51.96/7.98 % (498694)Termination reason: Instruction limit
% 51.96/7.98 % (498694)Termination phase: Saturation
% 51.96/7.98 % (498694)Time elapsed: 0.233 s
% 51.96/7.98 % (498694)Peak memory usage: 13 MB
% 51.96/7.98 % (498694)Instructions burned: 410 (million)
% 51.96/7.98 % (498702)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=1632190466:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2934 on theBenchmark for (2934ds/888Mi)
% 51.96/7.98 % (498676)Instruction limit reached!
% 51.96/7.98 % (498676)------------------------------
% 51.96/7.98 % (498676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.98 % (498676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.99 % (498676)CaDiCaL version: 2.1.3
% 51.96/7.99 % (498676)Termination reason: Instruction limit
% 51.96/7.99 % (498676)Termination phase: Saturation
% 51.96/7.99 % (498676)Time elapsed: 1.149 s
% 51.96/7.99 % (498676)Peak memory usage: 13 MB
% 51.96/7.99 % (498676)Instructions burned: 1584 (million)
% 51.96/7.99 % (498704)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 51.96/7.99 % (498704)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=1661170454:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2933 on theBenchmark for (2933ds/416Mi)
% 51.96/7.99 % (498700)Instruction limit reached!
% 51.96/7.99 % (498700)------------------------------
% 51.96/7.99 % (498700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.99 % (498700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.99 % (498700)CaDiCaL version: 2.1.3
% 51.96/7.99 % (498700)Termination reason: Instruction limit
% 51.96/7.99 % (498700)Termination phase: Saturation
% 55.35/8.22 % (498700)Time elapsed: 0.362 s
% 55.35/8.22 % (498700)Peak memory usage: 13 MB
% 55.35/8.22 % (498700)Instructions burned: 507 (million)
% 55.35/8.22 % (498692)Instruction limit reached!
% 55.35/8.22 % (498692)------------------------------
% 55.35/8.22 % (498692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.35/8.22 % (498692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.35/8.22 % (498692)CaDiCaL version: 2.1.3
% 55.35/8.22 % (498692)Termination reason: Instruction limit
% 55.35/8.22 % (498692)Termination phase: Saturation
% 55.35/8.22 % (498692)Time elapsed: 0.724 s
% 55.35/8.22 % (498692)Peak memory usage: 13 MB
% 55.35/8.22 % (498692)Instructions burned: 1005 (million)
% 55.35/8.22 % (498707)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 55.35/8.22 % (498706)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=1129893010:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2931 on theBenchmark for (2931ds/13534Mi)
% 55.35/8.22 % (498706)Refutation not found, incomplete strategy
% 55.35/8.22 % (498706)------------------------------
% 55.35/8.22 % (498706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.35/8.22 % (498706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.35/8.22 % (498706)CaDiCaL version: 2.1.3
% 55.35/8.22 % (498706)Termination reason: Refutation not found, incomplete strategy
% 55.35/8.22 % (498706)Time elapsed: 0.001 s
% 55.35/8.22 % (498706)Peak memory usage: 11 MB
% 55.35/8.22 % (498706)------------------------------
% 55.35/8.22 % (498706)------------------------------
% 55.35/8.22 % (498707)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=4250929370:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2931 on theBenchmark for (2931ds/206Mi)
% 55.35/8.22 % (498709)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=3011939869:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2931 on theBenchmark for (2931ds/2295Mi)
% 55.35/8.22 % (498704)Instruction limit reached!
% 55.35/8.22 % (498704)------------------------------
% 55.35/8.22 % (498704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.35/8.22 % (498704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.35/8.22 % (498704)CaDiCaL version: 2.1.3
% 55.35/8.22 % (498704)Termination reason: Instruction limit
% 55.35/8.22 % (498704)Termination phase: Saturation
% 55.35/8.22 % (498704)Time elapsed: 0.339 s
% 55.35/8.22 % (498704)Peak memory usage: 14 MB
% 55.35/8.22 % (498704)Instructions burned: 417 (million)
% 55.35/8.22 % (498707)Instruction limit reached!
% 55.35/8.22 % (498707)------------------------------
% 55.35/8.22 % (498707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.35/8.22 % (498707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.35/8.22 % (498707)CaDiCaL version: 2.1.3
% 55.35/8.22 % (498707)Termination reason: Instruction limit
% 55.35/8.22 % (498707)Termination phase: Saturation
% 55.35/8.22 % (498707)Time elapsed: 0.132 s
% 55.35/8.22 % (498707)Peak memory usage: 12 MB
% 55.35/8.22 % (498707)Instructions burned: 208 (million)
% 55.35/8.22 % (498713)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=522423156:hsq=on:i=667:rtra=on:ixr=off_2930 on theBenchmark for (2930ds/667Mi)
% 55.35/8.22 % (498712)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=3131422044:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2930 on theBenchmark for (2930ds/637Mi)
% 55.35/8.22 % (498702)Instruction limit reached!
% 55.35/8.22 % (498702)------------------------------
% 55.35/8.22 % (498702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.35/8.22 % (498702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.35/8.22 % (498702)CaDiCaL version: 2.1.3
% 55.35/8.22 % (498702)Termination reason: Instruction limit
% 55.35/8.22 % (498702)Termination phase: Saturation
% 55.35/8.22 % (498702)Time elapsed: 0.672 s
% 55.35/8.22 % (498702)Peak memory usage: 12 MB
% 55.35/8.22 % (498702)Instructions burned: 888 (million)
% 55.35/8.22 % (498716)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=172662771:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2927 on theBenchmark for (2927ds/1801Mi)
% 62.45/9.23 % (498713)Instruction limit reached!
% 62.45/9.23 % (498713)------------------------------
% 62.45/9.23 % (498713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.45/9.23 % (498713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.45/9.23 % (498713)CaDiCaL version: 2.1.3
% 62.45/9.23 % (498713)Termination reason: Instruction limit
% 62.45/9.23 % (498713)Termination phase: Saturation
% 62.45/9.23 % (498713)Time elapsed: 0.315 s
% 62.45/9.23 % (498713)Peak memory usage: 12 MB
% 62.45/9.23 % (498713)Instructions burned: 668 (million)
% 62.45/9.23 % (498718)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=3131776326:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2926 on theBenchmark for (2926ds/555Mi)
% 62.45/9.23 % (498712)Instruction limit reached!
% 62.45/9.23 % (498712)------------------------------
% 62.45/9.23 % (498712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.45/9.23 % (498712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.45/9.23 % (498712)CaDiCaL version: 2.1.3
% 62.45/9.23 % (498712)Termination reason: Instruction limit
% 62.45/9.23 % (498712)Termination phase: Saturation
% 62.45/9.23 % (498712)Time elapsed: 0.475 s
% 62.45/9.23 % (498712)Peak memory usage: 13 MB
% 62.45/9.23 % (498712)Instructions burned: 639 (million)
% 62.45/9.23 % (498598)Instruction limit reached!
% 62.45/9.23 % (498598)------------------------------
% 62.45/9.23 % (498598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.45/9.23 % (498598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.45/9.23 % (498598)CaDiCaL version: 2.1.3
% 62.45/9.23 % (498598)Termination reason: Instruction limit
% 62.45/9.23 % (498598)Termination phase: Saturation
% 62.45/9.23 % (498598)Time elapsed: 3.351 s
% 62.45/9.23 % (498598)Peak memory usage: 16 MB
% 62.45/9.23 % (498598)Instructions burned: 4386 (million)
% 62.45/9.23 % (498720)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=3447778104:i=88:s2at=3:nm=2:rtra=on:rawr=on_2924 on theBenchmark for (2924ds/88Mi)
% 62.45/9.23 % (498721)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1621033057:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2924 on theBenchmark for (2924ds/280Mi)
% 62.45/9.23 % (498720)Instruction limit reached!
% 62.45/9.23 % (498720)------------------------------
% 62.45/9.23 % (498720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.45/9.23 % (498720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.45/9.23 % (498720)CaDiCaL version: 2.1.3
% 62.45/9.23 % (498720)Termination reason: Instruction limit
% 62.45/9.23 % (498720)Termination phase: Saturation
% 62.45/9.23 % (498720)Time elapsed: 0.052 s
% 62.45/9.23 % (498720)Peak memory usage: 13 MB
% 62.45/9.23 % (498720)Instructions burned: 88 (million)
% 62.45/9.23 % (498724)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=3331030185:s2a=on:i=3166:bd=preordered:rtra=on_2924 on theBenchmark for (2924ds/3166Mi)
% 62.45/9.23 % (498718)Instruction limit reached!
% 62.45/9.23 % (498718)------------------------------
% 62.45/9.23 % (498718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.45/9.23 % (498718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.45/9.23 % (498718)CaDiCaL version: 2.1.3
% 62.45/9.23 % (498718)Termination reason: Instruction limit
% 62.45/9.23 % (498718)Termination phase: Saturation
% 62.45/9.23 % (498718)Time elapsed: 0.284 s
% 62.45/9.23 % (498718)Peak memory usage: 12 MB
% 62.45/9.23 % (498718)Instructions burned: 556 (million)
% 62.45/9.23 % (498726)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 62.45/9.23 % (498726)lrs+1010_128_to=kbo:plsq=on:plsqc=4:cnfonf=lazy_pi_sigma_gen:bsd=on:si=on:sp=occurrence:sos=on:plsql=on:random_seed=1618935227:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2923 on theBenchmark for (2923ds/4201Mi)
% 62.45/9.23 % (498726)Refutation not found, incomplete strategy
% 62.45/9.23 % (498726)------------------------------
% 62.45/9.23 % (498726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.45/9.23 % (498726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.95/9.61 % (498726)CaDiCaL version: 2.1.3
% 64.95/9.61 % (498726)Termination reason: Refutation not found, incomplete strategy
% 64.95/9.61 % (498726)Time elapsed: 0.004 s
% 64.95/9.61 % (498726)Peak memory usage: 12 MB
% 64.95/9.61 % (498726)Instructions burned: 3 (million)
% 64.95/9.61 % (498726)------------------------------
% 64.95/9.61 % (498726)------------------------------
% 64.95/9.61 % (498728)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3643677917:i=2352:rtra=on:ixr=off_2923 on theBenchmark for (2923ds/2352Mi)
% 64.95/9.61 % (498721)Instruction limit reached!
% 64.95/9.61 % (498721)------------------------------
% 64.95/9.61 % (498721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.95/9.61 % (498721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.95/9.61 % (498721)CaDiCaL version: 2.1.3
% 64.95/9.61 % (498721)Termination reason: Instruction limit
% 64.95/9.61 % (498721)Termination phase: Saturation
% 64.95/9.61 % (498721)Time elapsed: 0.228 s
% 64.95/9.61 % (498721)Peak memory usage: 13 MB
% 64.95/9.61 % (498721)Instructions burned: 280 (million)
% 64.95/9.61 % (498730)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 64.95/9.61 % (498730)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=3449396830:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2922 on theBenchmark for (2922ds/452Mi)
% 64.95/9.61 % (498730)Refutation not found, incomplete strategy
% 64.95/9.61 % (498730)------------------------------
% 64.95/9.61 % (498730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.95/9.61 % (498730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.95/9.61 % (498730)CaDiCaL version: 2.1.3
% 64.95/9.61 % (498730)Termination reason: Refutation not found, incomplete strategy
% 64.95/9.61 % (498730)Time elapsed: 0.001 s
% 64.95/9.61 % (498730)Peak memory usage: 12 MB
% 64.95/9.61 % (498730)Instructions burned: 1 (million)
% 64.95/9.61 % (498730)------------------------------
% 64.95/9.61 % (498730)------------------------------
% 64.95/9.61 % (498732)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 64.95/9.61 % (498732)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 64.95/9.61 % (498732)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=1633708402:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2921 on theBenchmark for (2921ds/483Mi)
% 64.95/9.61 % (498732)Refutation not found, incomplete strategy
% 64.95/9.61 % (498732)------------------------------
% 64.95/9.61 % (498732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.95/9.61 % (498732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.95/9.61 % (498732)CaDiCaL version: 2.1.3
% 64.95/9.61 % (498732)Termination reason: Refutation not found, incomplete strategy
% 64.95/9.61 % (498732)Time elapsed: 0.001 s
% 64.95/9.61 % (498732)Peak memory usage: 12 MB
% 64.95/9.61 % (498732)------------------------------
% 64.95/9.61 % (498732)------------------------------
% 64.95/9.61 % (498734)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3112881449:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2921 on theBenchmark for (2921ds/168Mi)
% 64.95/9.61 % (498563)Instruction limit reached!
% 64.95/9.61 % (498563)------------------------------
% 64.95/9.61 % (498563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.95/9.61 % (498563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.95/9.61 % (498563)CaDiCaL version: 2.1.3
% 64.95/9.61 % (498563)Termination reason: Instruction limit
% 64.95/9.61 % (498563)Termination phase: Saturation
% 64.95/9.61 % (498563)Time elapsed: 4.431 s
% 64.95/9.61 % (498563)Peak memory usage: 23 MB
% 64.95/9.61 % (498563)Instructions burned: 6359 (million)
% 64.95/9.61 % (498736)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=198514225:hsq=on:hsqr=16,1:s2a=on:i=17240:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2921 on theBenchmark for (2921ds/17240Mi)
% 65.74/9.78 % (498734)Instruction limit reached!
% 65.74/9.78 % (498734)------------------------------
% 65.74/9.78 % (498734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.74/9.78 % (498734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.74/9.78 % (498734)CaDiCaL version: 2.1.3
% 65.74/9.78 % (498734)Termination reason: Instruction limit
% 65.74/9.78 % (498734)Termination phase: Saturation
% 65.74/9.78 % (498734)Time elapsed: 0.115 s
% 65.74/9.78 % (498734)Peak memory usage: 13 MB
% 65.74/9.78 % (498734)Instructions burned: 169 (million)
% 65.74/9.78 % (498738)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=3977701896:i=2022:fsr=off:rtra=on:ixr=off_2920 on theBenchmark for (2920ds/2022Mi)
% 65.74/9.78 % (498709)Instruction limit reached!
% 65.74/9.78 % (498709)------------------------------
% 65.74/9.78 % (498709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.74/9.78 % (498709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.74/9.78 % (498709)CaDiCaL version: 2.1.3
% 65.74/9.78 % (498709)Termination reason: Instruction limit
% 65.74/9.78 % (498709)Termination phase: Saturation
% 65.74/9.78 % (498709)Time elapsed: 1.459 s
% 65.74/9.78 % (498709)Peak memory usage: 13 MB
% 65.74/9.78 % (498709)Instructions burned: 2296 (million)
% 65.74/9.78 % (498740)lrs+1010_3:1_sil=128000:tgt=full:plsq=on:drc=ordering:cnfonf=lazy_not_be_gen:si=on:etr=on:sp=reverse_arity:plsqr=32,1:urr=on:uwa=off:foolp=on:nwc=0.5:random_seed=1039455038:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2916 on theBenchmark for (2916ds/2274Mi)
% 65.74/9.78 % (498716)Instruction limit reached!
% 65.74/9.78 % (498716)------------------------------
% 65.74/9.78 % (498716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.74/9.78 % (498716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.74/9.78 % (498716)CaDiCaL version: 2.1.3
% 65.74/9.78 % (498716)Termination reason: Instruction limit
% 65.74/9.78 % (498716)Termination phase: Saturation
% 65.74/9.78 % (498716)Time elapsed: 1.190 s
% 65.74/9.78 % (498716)Peak memory usage: 16 MB
% 65.74/9.78 % (498716)Instructions burned: 1801 (million)
% 65.74/9.78 % (498742)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1992460164:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2915 on theBenchmark for (2915ds/555Mi)
% 65.74/9.78 % (498688)Instruction limit reached!
% 65.74/9.78 % (498688)------------------------------
% 65.74/9.78 % (498688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.74/9.78 % (498688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.74/9.78 % (498688)CaDiCaL version: 2.1.3
% 65.74/9.78 % (498688)Termination reason: Instruction limit
% 65.74/9.78 % (498688)Termination phase: Saturation
% 65.74/9.78 % (498688)Time elapsed: 2.691 s
% 65.74/9.78 % (498688)Peak memory usage: 31 MB
% 65.74/9.78 % (498688)Instructions burned: 6581 (million)
% 65.74/9.78 % (498744)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=2219674424:avsq=on:i=2220:rtra=on_2914 on theBenchmark for (2914ds/2220Mi)
% 65.74/9.78 % (498742)Instruction limit reached!
% 65.74/9.78 % (498742)------------------------------
% 65.74/9.78 % (498742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.74/9.78 % (498742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.74/9.78 % (498742)CaDiCaL version: 2.1.3
% 65.74/9.78 % (498742)Termination reason: Instruction limit
% 65.74/9.78 % (498742)Termination phase: Saturation
% 65.74/9.78 % (498742)Time elapsed: 0.344 s
% 65.74/9.78 % (498742)Peak memory usage: 13 MB
% 65.74/9.78 % (498742)Instructions burned: 557 (million)
% 65.74/9.78 % (498746)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2031951002:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2911 on theBenchmark for (2911ds/715Mi)
% 65.74/9.78 % (498746)Refutation not found, incomplete strategy
% 65.74/9.78 % (498746)------------------------------
% 65.74/9.78 % (498746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.74/9.78 % (498746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.74/9.78 % (498746)CaDiCaL version: 2.1.3
% 65.74/9.78 % (498746)Termination reason: Refutation not found, incomplete strategy
% 65.74/9.78 % (498746)Time elapsed: 0.001 s
% 65.74/9.78 % (498746)Peak memory usage: 11 MB
% 65.74/9.78 % (498746)Instructions burned: 1 (million)
% 65.74/9.78 % (498746)------------------------------
% 65.74/9.78 % (498746)------------------------------
% 65.74/9.78 % (498748)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 69.37/10.22 % (498748)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=1200752704:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2911 on theBenchmark for (2911ds/1979Mi)
% 69.37/10.22 % (498748)Refutation not found, incomplete strategy
% 69.37/10.22 % (498748)------------------------------
% 69.37/10.22 % (498748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.37/10.22 % (498748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.37/10.22 % (498748)CaDiCaL version: 2.1.3
% 69.37/10.22 % (498748)Termination reason: Refutation not found, incomplete strategy
% 69.37/10.22 % (498748)Time elapsed: 0.002 s
% 69.37/10.22 % (498748)Peak memory usage: 12 MB
% 69.37/10.22 % (498748)Instructions burned: 1 (million)
% 69.37/10.22 % (498748)------------------------------
% 69.37/10.22 % (498748)------------------------------
% 69.37/10.22 % (498750)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=2691087869:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2910 on theBenchmark for (2910ds/28911Mi)
% 69.37/10.22 % (498750)Refutation not found, incomplete strategy
% 69.37/10.22 % (498750)------------------------------
% 69.37/10.22 % (498750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.37/10.22 % (498750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.37/10.22 % (498750)CaDiCaL version: 2.1.3
% 69.37/10.22 % (498750)Termination reason: Refutation not found, incomplete strategy
% 69.37/10.22 % (498750)Time elapsed: 0.001 s
% 69.37/10.22 % (498750)Peak memory usage: 12 MB
% 69.37/10.22 % (498750)------------------------------
% 69.37/10.22 % (498750)------------------------------
% 69.37/10.22 % (498752)lrs+1002_1_to=lpo:sil=128000:cnfonf=lazy_not_be_gen:si=on:sp=reverse_arity:sos=on:erd=off:lma=off:spb=units:urr=on:cbe=off:uwa=one_side_constant:random_seed=134013539:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2910 on theBenchmark for (2910ds/414Mi)
% 69.37/10.22 % (498752)Refutation not found, incomplete strategy
% 69.37/10.22 % (498752)------------------------------
% 69.37/10.22 % (498752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.37/10.22 % (498752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.37/10.22 % (498752)CaDiCaL version: 2.1.3
% 69.37/10.22 % (498752)Termination reason: Refutation not found, incomplete strategy
% 69.37/10.22 % (498752)Time elapsed: 0.004 s
% 69.37/10.22 % (498752)Peak memory usage: 12 MB
% 69.37/10.22 % (498752)Instructions burned: 3 (million)
% 69.37/10.22 % (498752)------------------------------
% 69.37/10.22 % (498752)------------------------------
% 69.37/10.22 % (498754)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=793670435:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2909 on theBenchmark for (2909ds/429Mi)
% 69.37/10.22 % (498728)Instruction limit reached!
% 69.37/10.22 % (498728)------------------------------
% 69.37/10.22 % (498728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.37/10.22 % (498728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.37/10.22 % (498728)CaDiCaL version: 2.1.3
% 69.37/10.22 % (498728)Termination reason: Instruction limit
% 69.37/10.22 % (498728)Termination phase: Saturation
% 69.37/10.22 % (498728)Time elapsed: 1.499 s
% 69.37/10.22 % (498728)Peak memory usage: 14 MB
% 69.37/10.22 % (498728)Instructions burned: 2353 (million)
% 69.37/10.22 % (498756)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 69.37/10.22 % (498756)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=669402076:lrd=on:i=841:nm=0:rtra=on_2907 on theBenchmark for (2907ds/841Mi)
% 69.37/10.22 % (498754)Instruction limit reached!
% 69.37/10.22 % (498754)------------------------------
% 69.37/10.22 % (498754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.37/10.22 % (498754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.37/10.22 % (498754)CaDiCaL version: 2.1.3
% 69.37/10.22 % (498754)Termination reason: Instruction limit
% 69.37/10.22 % (498754)Termination phase: Saturation
% 69.37/10.22 % (498754)Time elapsed: 0.287 s
% 69.37/10.22 % (498754)Peak memory usage: 13 MB
% 69.37/10.22 % (498754)Instructions burned: 429 (million)
% 72.63/10.90 % (498744)Instruction limit reached!
% 72.63/10.90 % (498744)------------------------------
% 72.63/10.90 % (498744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.63/10.90 % (498744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.63/10.90 % (498744)CaDiCaL version: 2.1.3
% 72.63/10.90 % (498744)Termination reason: Instruction limit
% 72.63/10.90 % (498744)Termination phase: Saturation
% 72.63/10.90 % (498744)Time elapsed: 0.726 s
% 72.63/10.90 % (498744)Peak memory usage: 13 MB
% 72.63/10.90 % (498744)Instructions burned: 2221 (million)
% 72.63/10.90 % (498758)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2057483718:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2906 on theBenchmark for (2906ds/445Mi)
% 72.63/10.90 % (498759)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=1818161101:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2906 on theBenchmark for (2906ds/1324Mi)
% 72.63/10.90 % (498759)Refutation not found, incomplete strategy
% 72.63/10.90 % (498759)------------------------------
% 72.63/10.90 % (498759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.63/10.91 % (498759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.63/10.91 % (498759)CaDiCaL version: 2.1.3
% 72.63/10.91 % (498759)Termination reason: Refutation not found, incomplete strategy
% 72.63/10.91 % (498759)Time elapsed: 0.002 s
% 72.63/10.91 % (498759)Peak memory usage: 12 MB
% 72.63/10.91 % (498759)Instructions burned: 1 (million)
% 72.63/10.91 % (498759)------------------------------
% 72.63/10.91 % (498759)------------------------------
% 72.63/10.91 % (498762)dis+21_1_sil=128000:cnfonf=off:e2e=on:si=on:sos=on:spb=goal_then_units:acc=on:uwa=one_side_interpreted:random_seed=1695393874:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2906 on theBenchmark for (2906ds/5401Mi)
% 72.63/10.91 % (498762)Refutation not found, incomplete strategy
% 72.63/10.91 % (498762)------------------------------
% 72.63/10.91 % (498762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.63/10.91 % (498762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.63/10.91 % (498762)CaDiCaL version: 2.1.3
% 72.63/10.91 % (498762)Termination reason: Refutation not found, incomplete strategy
% 72.63/10.91 % (498762)Time elapsed: 0.0000 s
% 72.63/10.91 % (498762)Peak memory usage: 12 MB
% 72.63/10.91 % (498762)------------------------------
% 72.63/10.91 % (498762)------------------------------
% 72.63/10.91 % (498764)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2867098060:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2906 on theBenchmark for (2906ds/4070Mi)
% 72.63/10.91 % (498738)Instruction limit reached!
% 72.63/10.91 % (498738)------------------------------
% 72.63/10.91 % (498738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.63/10.91 % (498738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.63/10.91 % (498738)CaDiCaL version: 2.1.3
% 72.63/10.91 % (498738)Termination reason: Instruction limit
% 72.63/10.91 % (498738)Termination phase: Saturation
% 72.63/10.91 % (498738)Time elapsed: 1.434 s
% 72.63/10.91 % (498738)Peak memory usage: 14 MB
% 72.63/10.91 % (498738)Instructions burned: 2023 (million)
% 72.63/10.91 % (498766)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3400702866:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2905 on theBenchmark for (2905ds/984Mi)
% 72.63/10.91 % (498766)Refutation not found, incomplete strategy
% 72.63/10.91 % (498766)------------------------------
% 72.63/10.91 % (498766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.63/10.91 % (498766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.63/10.91 % (498766)CaDiCaL version: 2.1.3
% 72.63/10.91 % (498766)Termination reason: Refutation not found, incomplete strategy
% 72.63/10.91 % (498766)Time elapsed: 0.001 s
% 72.63/10.91 % (498766)Peak memory usage: 12 MB
% 72.63/10.91 % (498766)Instructions burned: 1 (million)
% 72.63/10.91 % (498766)------------------------------
% 72.63/10.91 % (498766)------------------------------
% 72.63/10.91 % (498768)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2299695848:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2905 on theBenchmark for (2905ds/112Mi)
% 72.63/10.91 % (498768)Refutation not found, incomplete strategy
% 72.63/10.91 % (498768)------------------------------
% 72.63/10.91 % (498768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.63/10.91 % (498768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.73/12.56 % (498768)CaDiCaL version: 2.1.3
% 85.73/12.56 % (498768)Termination reason: Refutation not found, incomplete strategy
% 85.73/12.56 % (498768)Time elapsed: 0.001 s
% 85.73/12.56 % (498768)Peak memory usage: 12 MB
% 85.73/12.56 % (498768)Instructions burned: 1 (million)
% 85.73/12.56 % (498768)------------------------------
% 85.73/12.56 % (498768)------------------------------
% 85.73/12.56 % (498770)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1365139237:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2905 on theBenchmark for (2905ds/1144Mi)
% 85.73/12.56 % (498770)Refutation not found, incomplete strategy
% 85.73/12.56 % (498770)------------------------------
% 85.73/12.56 % (498770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.73/12.56 % (498770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.73/12.56 % (498770)CaDiCaL version: 2.1.3
% 85.73/12.56 % (498770)Termination reason: Refutation not found, incomplete strategy
% 85.73/12.56 % (498770)Time elapsed: 0.001 s
% 85.73/12.56 % (498770)Peak memory usage: 12 MB
% 85.73/12.56 % (498770)------------------------------
% 85.73/12.56 % (498770)------------------------------
% 85.73/12.56 % (498772)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=3738822974:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2904 on theBenchmark for (2904ds/1352Mi)
% 85.73/12.56 % (498758)Instruction limit reached!
% 85.73/12.56 % (498758)------------------------------
% 85.73/12.56 % (498758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.73/12.56 % (498758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.73/12.56 % (498758)CaDiCaL version: 2.1.3
% 85.73/12.56 % (498758)Termination reason: Instruction limit
% 85.73/12.56 % (498758)Termination phase: Saturation
% 85.73/12.56 % (498758)Time elapsed: 0.219 s
% 85.73/12.56 % (498758)Peak memory usage: 14 MB
% 85.73/12.56 % (498758)Instructions burned: 445 (million)
% 85.73/12.56 % (498774)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=624387767:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2904 on theBenchmark for (2904ds/693Mi)
% 85.73/12.56 % (498756)Instruction limit reached!
% 85.73/12.56 % (498756)------------------------------
% 85.73/12.56 % (498756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.73/12.56 % (498756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.73/12.56 % (498756)CaDiCaL version: 2.1.3
% 85.73/12.56 % (498756)Termination reason: Instruction limit
% 85.73/12.56 % (498756)Termination phase: Saturation
% 85.73/12.56 % (498756)Time elapsed: 0.566 s
% 85.73/12.56 % (498756)Peak memory usage: 13 MB
% 85.73/12.56 % (498756)Instructions burned: 841 (million)
% 85.73/12.56 % (498776)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=1834543050:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2902 on theBenchmark for (2902ds/908Mi)
% 85.73/12.56 % (498774)Instruction limit reached!
% 85.73/12.56 % (498774)------------------------------
% 85.73/12.56 % (498774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.73/12.56 % (498774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.73/12.56 % (498774)CaDiCaL version: 2.1.3
% 85.73/12.56 % (498774)Termination reason: Instruction limit
% 85.73/12.56 % (498774)Termination phase: Saturation
% 85.73/12.56 % (498774)Time elapsed: 0.264 s
% 85.73/12.56 % (498774)Peak memory usage: 12 MB
% 85.73/12.56 % (498774)Instructions burned: 694 (million)
% 85.73/12.56 % (498778)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=3746171558:i=6901:add=on:slsql=off:rtra=on:ntd=on_2901 on theBenchmark for (2901ds/6901Mi)
% 85.73/12.56 % (498724)Instruction limit reached!
% 85.73/12.56 % (498724)------------------------------
% 85.73/12.56 % (498724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.73/12.56 % (498724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.73/12.56 % (498724)CaDiCaL version: 2.1.3
% 85.73/12.56 % (498724)Termination reason: Instruction limit
% 85.73/12.56 % (498724)Termination phase: Saturation
% 85.73/12.56 % (498724)Time elapsed: 2.290 s
% 85.73/12.56 % (498724)Peak memory usage: 15 MB
% 85.73/12.56 % (498724)Instructions burned: 3166 (million)
% 85.73/12.56 % (498780)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2628786840:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2900 on theBenchmark for (2900ds/3621Mi)
% 90.70/13.22 % (498740)Instruction limit reached!
% 90.70/13.22 % (498740)------------------------------
% 90.70/13.22 % (498740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.70/13.22 % (498740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.70/13.22 % (498740)CaDiCaL version: 2.1.3
% 90.70/13.22 % (498740)Termination reason: Instruction limit
% 90.70/13.22 % (498740)Termination phase: Saturation
% 90.70/13.22 % (498740)Time elapsed: 1.631 s
% 90.70/13.22 % (498740)Peak memory usage: 17 MB
% 90.70/13.22 % (498740)Instructions burned: 2275 (million)
% 90.70/13.22 % (498782)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=3180069766:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2899 on theBenchmark for (2899ds/1160Mi)
% 90.70/13.22 % (498782)Refutation not found, incomplete strategy
% 90.70/13.22 % (498782)------------------------------
% 90.70/13.22 % (498782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.70/13.22 % (498782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.70/13.22 % (498782)CaDiCaL version: 2.1.3
% 90.70/13.22 % (498782)Termination reason: Refutation not found, incomplete strategy
% 90.70/13.22 % (498782)Time elapsed: 0.002 s
% 90.70/13.22 % (498782)Peak memory usage: 12 MB
% 90.70/13.22 % (498782)Instructions burned: 2 (million)
% 90.70/13.22 % (498782)------------------------------
% 90.70/13.22 % (498782)------------------------------
% 90.70/13.22 % (498784)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=316397868:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2899 on theBenchmark for (2899ds/570Mi)
% 90.70/13.22 % (498772)Instruction limit reached!
% 90.70/13.22 % (498772)------------------------------
% 90.70/13.22 % (498772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.70/13.22 % (498772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.70/13.22 % (498772)CaDiCaL version: 2.1.3
% 90.70/13.22 % (498772)Termination reason: Instruction limit
% 90.70/13.22 % (498772)Termination phase: Saturation
% 90.70/13.22 % (498772)Time elapsed: 0.831 s
% 90.70/13.22 % (498772)Peak memory usage: 13 MB
% 90.70/13.22 % (498772)Instructions burned: 1352 (million)
% 90.70/13.22 % (498786)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=1342734415:i=324:bd=all:ins=4:rtra=on_2896 on theBenchmark for (2896ds/324Mi)
% 90.70/13.22 % (498784)Instruction limit reached!
% 90.70/13.22 % (498784)------------------------------
% 90.70/13.22 % (498784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.70/13.22 % (498784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.70/13.22 % (498784)CaDiCaL version: 2.1.3
% 90.70/13.22 % (498784)Termination reason: Instruction limit
% 90.70/13.22 % (498784)Termination phase: Saturation
% 90.70/13.22 % (498784)Time elapsed: 0.381 s
% 90.70/13.22 % (498784)Peak memory usage: 14 MB
% 90.70/13.22 % (498784)Instructions burned: 570 (million)
% 90.70/13.22 % (498788)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:e2e=on:si=on:lma=off:bsr=on:uwa=interpreted_only:nwc=1:sac=on:random_seed=3610505811:s2a=on:i=5712:rtra=on_2895 on theBenchmark for (2895ds/5712Mi)
% 90.70/13.22 % (498776)Instruction limit reached!
% 90.70/13.22 % (498776)------------------------------
% 90.70/13.22 % (498776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.70/13.22 % (498776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.70/13.22 % (498776)CaDiCaL version: 2.1.3
% 90.70/13.22 % (498776)Termination reason: Instruction limit
% 90.70/13.22 % (498776)Termination phase: Saturation
% 90.70/13.22 % (498776)Time elapsed: 0.745 s
% 90.70/13.22 % (498776)Peak memory usage: 14 MB
% 90.70/13.22 % (498776)Instructions burned: 908 (million)
% 90.70/13.22 % (498790)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 90.70/13.22 % (498790)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 90.70/13.22 % (498790)ott+1010_3:16_to=lpo:sil=128000:cnfonf=lazy_simp:si=on:lma=off:plsqr=32,1:plsql=on:uwa=interpreted_only:random_seed=342328216:i=901:rtra=on:fsd=on_2894 on theBenchmark for (2894ds/901Mi)
% 90.70/13.22 % (498786)Instruction limit reached!
% 90.70/13.22 % (498786)------------------------------
% 90.70/13.22 % (498786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.70/13.22 % (498786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.70/13.22 % (498786)CaDiCaL version: 2.1.3
% 90.70/13.22 % (498786)Termination reason: Instruction limit
% 90.70/13.22 % (498786)Termination phase: Saturation
% 90.70/13.22 % (498786)Time elapsed: 0.225 s
% 90.70/13.22 % (498786)Peak memory usage: 14 MB
% 90.70/13.22 % (498786)Instructions burned: 325 (million)
% 90.70/13.22 % (498792)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1128852521:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2893 on theBenchmark for (2893ds/2961Mi)
% 90.70/13.22 % (498792)Refutation not found, incomplete strategy
% 90.70/13.22 % (498792)------------------------------
% 90.70/13.22 % (498792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.70/13.22 % (498792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.70/13.22 % (498792)CaDiCaL version: 2.1.3
% 90.70/13.22 % (498792)Termination reason: Refutation not found, incomplete strategy
% 90.70/13.22 % (498792)Time elapsed: 0.001 s
% 90.70/13.22 % (498792)Peak memory usage: 11 MB
% 90.70/13.22 % (498792)------------------------------
% 90.70/13.22 % (498792)------------------------------
% 90.70/13.22 % (498794)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=2928329892:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2893 on theBenchmark for (2893ds/3526Mi)
% 90.70/13.22 % (498780)Instruction limit reached!
% 90.70/13.22 % (498780)------------------------------
% 90.70/13.22 % (498780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.70/13.22 % (498780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.70/13.22 % (498780)CaDiCaL version: 2.1.3
% 90.70/13.22 % (498780)Termination reason: Instruction limit
% 90.70/13.22 % (498780)Termination phase: Saturation
% 90.70/13.22 % (498780)Time elapsed: 1.295 s
% 90.70/13.22 % (498780)Peak memory usage: 16 MB
% 90.70/13.22 % (498780)Instructions burned: 3623 (million)
% 90.70/13.22 % (498790)Instruction limit reached!
% 90.70/13.22 % (498790)------------------------------
% 90.70/13.22 % (498790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.70/13.22 % (498790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.70/13.22 % (498790)CaDiCaL version: 2.1.3
% 90.70/13.22 % (498790)Termination reason: Instruction limit
% 90.70/13.22 % (498790)Termination phase: Saturation
% 90.70/13.22 % (498790)Time elapsed: 0.633 s
% 90.70/13.22 % (498790)Peak memory usage: 12 MB
% 90.70/13.22 % (498790)Instructions burned: 901 (million)
% 90.70/13.22 % (498796)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=1580687386:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2887 on theBenchmark for (2887ds/3368Mi)
% 90.70/13.22 % (498796)Refutation not found, incomplete strategy
% 90.70/13.22 % (498796)------------------------------
% 90.70/13.22 % (498796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.70/13.22 % (498796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.70/13.22 % (498796)CaDiCaL version: 2.1.3
% 90.70/13.22 % (498796)Termination reason: Refutation not found, incomplete strategy
% 90.70/13.22 % (498796)Time elapsed: 0.001 s
% 90.70/13.22 % (498796)Peak memory usage: 12 MB
% 90.70/13.22 % (498796)------------------------------
% 90.70/13.22 % (498796)------------------------------
% 90.70/13.22 % (498797)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=2988250373:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2887 on theBenchmark for (2887ds/20626Mi)
% 90.70/13.22 % (498799)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2161167878:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2887 on theBenchmark for (2887ds/27154Mi)
% 90.70/13.22 % (498764)Instruction limit reached!
% 90.70/13.22 % (498764)------------------------------
% 90.70/13.22 % (498764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.70/13.22 % (498764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.70/13.22 % (498764)CaDiCaL version: 2.1.3
% 90.70/13.22 % (498764)Termination reason: Instruction limit
% 90.70/13.22 % (498764)Termination phase: Saturation
% 90.70/13.22 % (498764)Time elapsed: 2.849 s
% 90.70/13.22 % (498764)Peak memory usage: 17 MB
% 90.70/13.22 % (498764)Instructions burned: 4071 (million)
% 90.70/13.22 % (498802)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2731964503:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2877 on theBenchmark for (2877ds/515Mi)
% 90.70/13.22 % (498802)Refutation not found, incomplete strategy
% 90.70/13.22 % (498802)------------------------------
% 90.70/13.22 % (498802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.70/13.22 % (498802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.70/13.22 % (498802)CaDiCaL version: 2.1.3
% 90.70/13.22 % (498802)Termination reason: Refutation not found, incomplete strategy
% 90.70/13.22 % (498802)Time elapsed: 0.001 s
% 90.70/13.22 % (498802)Peak memory usage: 12 MB
% 90.70/13.22 % (498802)------------------------------
% 90.70/13.22 % (498802)------------------------------
% 90.70/13.22 % (498804)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3116551717:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2877 on theBenchmark for (2877ds/2653Mi)
% 90.70/13.22 % (498794)Instruction limit reached!
% 90.70/13.22 % (498794)------------------------------
% 90.70/13.22 % (498794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.70/13.22 % (498794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.70/13.22 % (498794)CaDiCaL version: 2.1.3
% 90.70/13.22 % (498794)Termination reason: Instruction limit
% 90.70/13.22 % (498794)Termination phase: Saturation
% 90.70/13.22 % (498794)Time elapsed: 1.978 s
% 90.70/13.22 % (498794)Peak memory usage: 14 MB
% 90.70/13.22 % (498794)Instructions burned: 3527 (million)
% 90.70/13.22 % (498806)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 90.70/13.22 % (498806)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=388688233:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2873 on theBenchmark for (2873ds/1297Mi)
% 90.70/13.22 % (498797) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-498243-498797"...
% 90.70/13.22 % (498797)...printing done.
% 90.70/13.22 % (498797)Refutation found. Thanks to Tanya!
% 90.70/13.22 % SZS status Unsatisfiable for theBenchmark
% 90.70/13.22 % SZS output start Proof for theBenchmark
% See solution above
% 90.70/13.29 % (498797)------------------------------
% 90.70/13.29 % (498797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.70/13.29 % (498797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.70/13.29 % (498797)CaDiCaL version: 2.1.3
% 90.70/13.29 % (498797)Termination reason: Refutation
% 90.70/13.29 % (498797)Time elapsed: 1.654 s
% 90.70/13.29 % (498797)Peak memory usage: 19 MB
% 90.70/13.29 % (498797)Instructions burned: 3636 (million)
% 90.70/13.29 % (498243)Success in time 12.952 s
% 90.70/13.29 % Vampire exiting
%------------------------------------------------------------------------------