%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA144^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:58:20 AM UTC 2026
% Result : Unsatisfiable 28.73s 4.42s
% Output : Refutation 28.73s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( b @ X0 @ X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X3: $i,X0: $i,X2: $i,X1: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X2: $i,X4: $i,X3: $i,X1: $i,X0: $i] :
( ~ ( b @ X0 @ X2 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X1 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( b @ X1 @ X0 )
| ( r @ X1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f9,plain,
! [X1: $i,X0: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i] :
~ ( 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,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X4 @ X0 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X4 @ X3 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X3 @ X0 ) ),
inference(rectify,[],[f7]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X0 ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X3 @ X2 )
| ~ ( r @ X2 @ X0 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X1 @ X3 ) ),
inference(rectify,[],[f6]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X3 @ X2 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ X3 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f19,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X4: $i,X1: $i,X3: $i,X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X4 @ X0 ) )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(flattening,[],[f15]) ).
thf(f22,plain,
! [X0: $i,X2: $i,X3: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X3 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X3 @ X2 ) ) ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X3 @ X2 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(rectify,[],[f22]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X4 ) )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( $true
!= ( b @ X4 @ X3 ) ) ),
inference(rectify,[],[f21]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(rectify,[],[f9]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X2 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f27,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f28,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X4 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f30,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f31,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f32,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f30,f27]) ).
thf(f36,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f30,f27]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f30,f32]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X4 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( X0 = X1 )
| ( $true
!= ( b @ X3 @ X0 ) ) ),
inference(constrained_superposition,[],[f29,f30]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X4 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f40]) ).
thf(f45,definition,
( spl0_1
<=> ! [X1: $i] :
( $true
!= ( b @ z @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f46,plain,
( ! [X1: $i] :
( $true
!= ( b @ z @ X1 ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f48,definition,
( spl0_2
<=> ! [X2: $i,X0: $i,X3: $i] :
( ( ( b @ X3 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f49,plain,
( ! [X2: $i,X3: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X3 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f48]) ).
thf(f58,definition,
( spl0_3
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f59,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f58]) ).
thf(f61,definition,
( spl0_4
<=> ! [X2: $i,X3: $i] :
( ( ( b @ X3 @ z )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f62,plain,
( ! [X2: $i,X3: $i] :
( ( ( b @ X3 @ z )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f61]) ).
thf(f64,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f59,f35]) ).
thf(f65,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= X1 )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f59,f30]) ).
thf(f66,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= X1 )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f65]) ).
thf(f67,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f64]) ).
thf(f68,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f26,f67]) ).
thf(f69,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f68]) ).
thf(f70,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f69,f26]) ).
thf(f73,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f27]) ).
thf(f74,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f27]) ).
thf(f75,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f37,f32]) ).
thf(f81,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f70,f73]) ).
thf(f82,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f26,f73]) ).
thf(f83,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f82]) ).
thf(f84,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f81]) ).
thf(f86,definition,
( spl0_5
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f87,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_5 ),
inference(avatar_component_clause,[],[f86]) ).
thf(f89,definition,
( spl0_6
<=> ! [X1: $i] :
( ( r @ ( s @ z ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f90,plain,
( ! [X1: $i] :
( ( r @ ( s @ z ) @ X1 )
!= $true )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f89]) ).
thf(f92,definition,
( spl0_7
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f93,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f94,plain,
( ~ spl0_5
| spl0_6
| spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f84,f58,f92,f89,f86]) ).
thf(f95,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_3
| spl0_5 ),
inference(constrained_superposition,[],[f87,f66]) ).
thf(f96,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_3
| spl0_5 ),
inference(constrained_superposition,[],[f87,f67]) ).
thf(f97,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_3
| spl0_5 ),
inference(trivial_inequality_removal,[],[f96]) ).
thf(f98,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_3
| spl0_5 ),
inference(trivial_inequality_removal,[],[f95]) ).
thf(f109,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_3
| spl0_5 ),
inference(constrained_superposition,[],[f26,f98]) ).
thf(f111,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_3
| spl0_5 ),
inference(trivial_inequality_removal,[],[f109]) ).
thf(f117,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_3
| spl0_5 ),
inference(constrained_superposition,[],[f111,f97]) ).
thf(f119,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_3
| spl0_5 ),
inference(trivial_inequality_removal,[],[f117]) ).
thf(f123,definition,
( spl0_8
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f124,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f126,definition,
( spl0_9
<=> ! [X1: $i] :
( ( r @ z @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f127,plain,
( ! [X1: $i] :
( ( r @ z @ X1 )
!= $true )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f126]) ).
thf(f128,plain,
( spl0_8
| spl0_9
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f119,f86,f58,f126,f123]) ).
thf(f140,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f86]) ).
thf(f143,definition,
( spl0_11
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f144,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( z = X0 ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f143]) ).
thf(f146,definition,
( spl0_12
<=> ! [X2: $i,X3: $i] :
( ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f147,plain,
( ! [X2: $i,X3: $i] :
( ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X3 @ X2 )
!= $true ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f146]) ).
thf(f158,definition,
( spl0_13
<=> ! [X1: $i] :
( $true
!= ( b @ ( s @ z ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f159,plain,
( ! [X1: $i] :
( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f158]) ).
thf(f161,definition,
( spl0_14
<=> ! [X2: $i,X0: $i,X3: $i] :
( ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f162,plain,
( ! [X2: $i,X3: $i,X0: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f161]) ).
thf(f168,definition,
( spl0_16
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f169,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f168]) ).
thf(f172,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_3
| spl0_5 ),
inference(constrained_superposition,[],[f87,f67]) ).
thf(f174,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_3
| spl0_5 ),
inference(trivial_inequality_removal,[],[f172]) ).
thf(f175,plain,
( spl0_16
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f174,f86,f58,f168]) ).
thf(f272,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f74,f90]) ).
thf(f275,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f29,f272]) ).
thf(f276,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f275]) ).
thf(f280,definition,
( spl0_17
<=> ! [X0: $i,X1: $i] :
( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f281,plain,
( ! [X0: $i,X1: $i] :
( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f280]) ).
thf(f282,plain,
( spl0_17
| spl0_12
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f276,f89,f146,f280]) ).
thf(f312,plain,
( ( $true != $true )
| ~ spl0_5
| ~ spl0_9 ),
inference(constrained_superposition,[],[f127,f140]) ).
thf(f315,plain,
( $false
| ~ spl0_5
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f312]) ).
thf(f316,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f315]) ).
thf(f333,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f75,f27]) ).
thf(f334,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f75,f27]) ).
thf(f357,definition,
( spl0_19
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f358,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f357]) ).
thf(f360,definition,
( spl0_20
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f361,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f360]) ).
thf(f367,definition,
( spl0_22
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f368,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_22 ),
inference(avatar_component_clause,[],[f367]) ).
thf(f370,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_22 ),
inference(constrained_superposition,[],[f368,f36]) ).
thf(f372,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_22 ),
inference(trivial_inequality_removal,[],[f370]) ).
thf(f570,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f29,f333]) ).
thf(f578,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X3 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f570]) ).
thf(f580,definition,
( spl0_23
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f581,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f580]) ).
thf(f586,definition,
( spl0_25
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f587,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f586]) ).
thf(f590,definition,
( spl0_26
<=> ! [X2: $i,X0: $i,X3: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f591,plain,
( ! [X2: $i,X3: $i,X0: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f590]) ).
thf(f593,definition,
( spl0_27
<=> ! [X1: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f594,plain,
( ! [X1: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f593]) ).
thf(f595,plain,
( spl0_26
| spl0_27 ),
inference(avatar_split_clause,[],[f578,f593,f590]) ).
thf(f597,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f73,f581]) ).
thf(f644,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f597,f31]) ).
thf(f657,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f644,f28]) ).
thf(f658,plain,
~ spl0_23,
inference(avatar_contradiction_clause,[],[f657]) ).
thf(f660,definition,
( spl0_28
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f661,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f660]) ).
thf(f663,definition,
( spl0_29
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f664,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f663]) ).
thf(f668,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_16 ),
inference(avatar_component_clause,[],[f168]) ).
thf(f680,definition,
( spl0_32
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f681,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_32 ),
inference(avatar_component_clause,[],[f680]) ).
thf(f696,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f46,f36]) ).
thf(f698,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f696]) ).
thf(f700,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f26,f698]) ).
thf(f701,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f700]) ).
thf(f702,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f159,f35]) ).
thf(f705,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f702]) ).
thf(f706,plain,
( spl0_16
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f705,f158,f168]) ).
thf(f715,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f701,f73]) ).
thf(f717,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f715]) ).
thf(f750,definition,
( spl0_35
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f751,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f750]) ).
thf(f753,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f717,f140]) ).
thf(f754,plain,
( spl0_6
| spl0_7
| ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f753,f86,f45,f92,f89]) ).
thf(f759,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f144,f333]) ).
thf(f761,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f759]) ).
thf(f765,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f761,f27]) ).
thf(f771,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f281,f333]) ).
thf(f776,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f771]) ).
thf(f784,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_17 ),
inference(constrained_superposition,[],[f701,f776]) ).
thf(f787,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f784]) ).
thf(f789,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f787,f698]) ).
thf(f791,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_17 ),
inference(constrained_superposition,[],[f789,f73]) ).
thf(f793,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f791]) ).
thf(f797,plain,
( $false
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f793,f281]) ).
thf(f798,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f797]) ).
thf(f800,plain,
( $false
| ~ spl0_1
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f87,f698]) ).
thf(f801,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f800]) ).
thf(f802,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f717,f698]) ).
thf(f803,plain,
( spl0_6
| spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f802,f45,f92,f89]) ).
thf(f805,plain,
( spl0_5
| spl0_22 ),
inference(avatar_split_clause,[],[f372,f367,f86]) ).
thf(f808,plain,
( $false
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f361,f127]) ).
thf(f809,plain,
( ~ spl0_9
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f808]) ).
thf(f814,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_32 ),
inference(constrained_superposition,[],[f681,f35]) ).
thf(f817,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_32 ),
inference(trivial_inequality_removal,[],[f814]) ).
thf(f823,definition,
( spl0_36
<=> ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f824,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f823]) ).
thf(f826,definition,
( spl0_37
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f827,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f826]) ).
thf(f828,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_35 ),
inference(avatar_component_clause,[],[f750]) ).
thf(f830,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_35 ),
inference(constrained_superposition,[],[f828,f37]) ).
thf(f831,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_35 ),
inference(trivial_inequality_removal,[],[f830]) ).
thf(f832,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_35 ),
inference(forward_subsumption_resolution,[],[f831,f27]) ).
thf(f834,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| spl0_35 ),
inference(constrained_superposition,[],[f29,f832]) ).
thf(f836,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| spl0_35 ),
inference(trivial_inequality_removal,[],[f834]) ).
thf(f837,plain,
( spl0_12
| spl0_27
| spl0_35 ),
inference(avatar_split_clause,[],[f836,f750,f593,f146]) ).
thf(f859,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f62,f30]) ).
thf(f860,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f62,f35]) ).
thf(f861,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f860]) ).
thf(f862,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f859]) ).
thf(f867,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= X1 )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f861,f30]) ).
thf(f869,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( s @ X0 )
= X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f867]) ).
thf(f892,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_25 ),
inference(avatar_component_clause,[],[f586]) ).
thf(f895,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_25 ),
inference(constrained_superposition,[],[f892,f37]) ).
thf(f896,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_25 ),
inference(trivial_inequality_removal,[],[f895]) ).
thf(f898,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f896,f27]) ).
thf(f901,plain,
( $false
| spl0_25
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f898,f594]) ).
thf(f902,plain,
( spl0_25
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f901]) ).
thf(f907,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_4
| ~ spl0_36 ),
inference(constrained_superposition,[],[f861,f824]) ).
thf(f910,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_4
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f907]) ).
thf(f914,definition,
( spl0_38
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f915,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_38 ),
inference(avatar_component_clause,[],[f914]) ).
thf(f917,definition,
( spl0_39
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f918,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f917]) ).
thf(f919,plain,
( ~ spl0_38
| spl0_39
| ~ spl0_4
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f910,f823,f61,f917,f914]) ).
thf(f927,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f90,f37]) ).
thf(f928,plain,
( ( $true != $true )
| ~ spl0_6
| ~ spl0_16 ),
inference(constrained_superposition,[],[f90,f169]) ).
thf(f929,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f927]) ).
thf(f930,plain,
( $false
| ~ spl0_6
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f928]) ).
thf(f931,plain,
( ~ spl0_6
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f930]) ).
thf(f935,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( s @ ( s @ X0 ) )
= X1 ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f281,f30]) ).
thf(f936,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( s @ ( s @ X0 ) )
= X1 ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f935]) ).
thf(f949,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_35 ),
inference(constrained_superposition,[],[f49,f832]) ).
thf(f955,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_35 ),
inference(trivial_inequality_removal,[],[f949]) ).
thf(f1237,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(constrained_superposition,[],[f861,f929]) ).
thf(f1244,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1237]) ).
thf(f1271,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( s @ ( s @ X0 ) )
= X1 ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f26,f936]) ).
thf(f1273,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f1271]) ).
thf(f1279,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= X1 )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_11
| ~ spl0_17 ),
inference(constrained_superposition,[],[f1273,f765]) ).
thf(f1286,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f1279]) ).
thf(f1295,definition,
( spl0_41
<=> ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f1296,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= X1 ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1295]) ).
thf(f1297,plain,
( spl0_37
| spl0_41
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1286,f280,f143,f1295,f826]) ).
thf(f1303,plain,
( ( $true != $true )
| ~ spl0_28
| ~ spl0_37 ),
inference(constrained_superposition,[],[f827,f661]) ).
thf(f1311,plain,
( $false
| ~ spl0_28
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f1303]) ).
thf(f1312,plain,
( ~ spl0_28
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1311]) ).
thf(f1325,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ~ spl0_11
| ~ spl0_41 ),
inference(constrained_superposition,[],[f1296,f765]) ).
thf(f1331,plain,
( ! [X0: $i,X1: $i] :
( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ X1 ) ) ) )
| ~ spl0_11
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f1325]) ).
thf(f1360,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X2 )
!= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ X1 ) )
= X2 ) )
| ~ spl0_11
| ~ spl0_41 ),
inference(constrained_superposition,[],[f32,f1331]) ).
thf(f1463,plain,
( ! [X0: $i,X1: $i] :
( ( s @ ( s @ X0 ) )
= ( s @ ( s @ X1 ) ) )
| ~ spl0_11
| ~ spl0_41 ),
inference(equality_resolution,[],[f1360]) ).
thf(f1609,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ X2 ) ) )
!= ( s @ ( s @ X0 ) ) )
| ( ( s @ X1 )
= ( s @ ( s @ X3 ) ) ) )
| ~ spl0_11
| ~ spl0_41 ),
inference(constrained_superposition,[],[f1360,f1463]) ).
thf(f1624,plain,
( ! [X3: $i,X1: $i] :
( ( s @ X1 )
= ( s @ ( s @ X3 ) ) )
| ~ spl0_11
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1609,f1463]) ).
thf(f1648,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X2 )
!= ( s @ ( s @ X0 ) ) )
| ( X1 = X2 ) )
| ~ spl0_11
| ~ spl0_41 ),
inference(constrained_superposition,[],[f32,f1624]) ).
thf(f1783,plain,
( ! [X2: $i,X1: $i] : ( X1 = X2 )
| ~ spl0_11
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1648,f1624]) ).
thf(f1804,plain,
( ! [X0: $i] : ( z != X0 )
| ~ spl0_11
| ~ spl0_41 ),
inference(constrained_superposition,[],[f27,f1783]) ).
thf(f2026,plain,
( $false
| ~ spl0_11
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1804,f1783]) ).
thf(f2027,plain,
( ~ spl0_11
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f2026]) ).
thf(f2122,definition,
( spl0_43
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f2123,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f2122]) ).
thf(f2125,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1244,f90]) ).
thf(f2127,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| spl0_38 ),
inference(constrained_superposition,[],[f915,f30]) ).
thf(f2129,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| spl0_38 ),
inference(trivial_inequality_removal,[],[f2127]) ).
thf(f2132,plain,
( ( z
= ( s @ z ) )
| ~ spl0_6
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f2129,f90]) ).
thf(f2133,plain,
( $false
| ~ spl0_6
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f2132,f27]) ).
thf(f2134,plain,
( ~ spl0_6
| spl0_38 ),
inference(avatar_contradiction_clause,[],[f2133]) ).
thf(f2135,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(constrained_superposition,[],[f2125,f35]) ).
thf(f2138,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f2135]) ).
thf(f2140,plain,
( spl0_43
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f2138,f89,f61,f2122]) ).
thf(f2145,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f591,f36]) ).
thf(f2147,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f2145]) ).
thf(f2151,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_9
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f2147,f127]) ).
thf(f2164,definition,
( spl0_44
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f2165,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f2164]) ).
thf(f2217,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true != $true )
| ( z = X1 )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f862,f30]) ).
thf(f2218,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f862,f35]) ).
thf(f2219,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ X0 @ z )
= $true )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X0 ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f2217]) ).
thf(f2220,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f2218]) ).
thf(f2306,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f869,f35]) ).
thf(f2307,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X0 )
= ( s @ X1 ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f2306]) ).
thf(f2668,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f334,f594]) ).
thf(f2669,plain,
( spl0_19
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f2668,f593,f357]) ).
thf(f2670,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f861,f334]) ).
thf(f2678,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f29,f334]) ).
thf(f2679,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f2670]) ).
thf(f2683,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f2678]) ).
thf(f2689,definition,
( spl0_45
<=> ! [X2: $i,X3: $i] :
( ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f2690,plain,
( ! [X2: $i,X3: $i] :
( ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f2689]) ).
thf(f2692,definition,
( spl0_46
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f2693,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f2692]) ).
thf(f2694,plain,
( spl0_45
| spl0_46 ),
inference(avatar_split_clause,[],[f2683,f2692,f2689]) ).
thf(f2701,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f2690,f36]) ).
thf(f2702,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f2701]) ).
thf(f2709,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f2702,f127]) ).
thf(f2714,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_9
| spl0_35
| ~ spl0_45 ),
inference(constrained_superposition,[],[f2709,f832]) ).
thf(f2716,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_45 ),
inference(constrained_superposition,[],[f2709,f929]) ).
thf(f2719,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_9
| spl0_35
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f2714]) ).
thf(f2720,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f2716]) ).
thf(f2725,plain,
( ~ spl0_22
| ~ spl0_9
| spl0_35
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f2719,f2689,f750,f126,f367]) ).
thf(f2726,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f2720,f27]) ).
thf(f2728,plain,
( ~ spl0_22
| ~ spl0_6
| ~ spl0_9
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f2726,f2689,f126,f89,f367]) ).
thf(f2739,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_4
| spl0_35 ),
inference(constrained_superposition,[],[f828,f2307]) ).
thf(f2743,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_4
| spl0_35 ),
inference(trivial_inequality_removal,[],[f2739]) ).
thf(f2756,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X2 ) @ z )
= $true )
| ( ( b @ z @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ X2 ) ) )
| ( $true
!= ( b @ X1 @ ( s @ X2 ) ) ) ),
inference(extensionality_resolution,[],[f41,f27]) ).
thf(f2757,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ X2 ) @ X3 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X2 ) ) ) ),
inference(extensionality_resolution,[],[f41,f27]) ).
thf(f2766,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
= $true ) ),
inference(constrained_superposition,[],[f41,f36]) ).
thf(f2772,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( X1 = X2 )
| ( ( r @ X1 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f2766]) ).
thf(f2776,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( X1 = X2 )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2772,f127]) ).
thf(f2779,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( b @ z @ ( s @ X1 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
!= $true ) )
| ~ spl0_9 ),
inference(extensionality_resolution,[],[f2776,f27]) ).
thf(f2783,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f2776,f333]) ).
thf(f2788,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( s @ X0 )
= X1 )
| ( ( b @ X2 @ X3 )
!= $true )
| ( X1 = X2 )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true != $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f2776,f30]) ).
thf(f2792,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f2783]) ).
thf(f2796,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( s @ X0 )
= X1 )
| ( X1 = X2 )
| ( ( r @ X1 @ X2 )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f2788]) ).
thf(f2798,definition,
( spl0_47
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
!= $true )
| ( ( b @ z @ ( s @ X1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
thf(f2799,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
!= $true )
| ( ( b @ z @ ( s @ X1 ) )
!= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f2798]) ).
thf(f2800,plain,
( spl0_1
| spl0_47
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f2779,f126,f2798,f45]) ).
thf(f2802,definition,
( spl0_48
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f2803,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_48 ),
inference(avatar_component_clause,[],[f2802]) ).
thf(f2805,definition,
( spl0_49
<=> ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f2806,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f2805]) ).
thf(f2809,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_48 ),
inference(constrained_superposition,[],[f2803,f30]) ).
thf(f2810,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_48 ),
inference(trivial_inequality_removal,[],[f2809]) ).
thf(f2812,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_48 ),
inference(forward_subsumption_resolution,[],[f2810,f27]) ).
thf(f2815,plain,
( $false
| ~ spl0_9
| spl0_48 ),
inference(forward_subsumption_resolution,[],[f2812,f127]) ).
thf(f2816,plain,
( ~ spl0_9
| spl0_48 ),
inference(avatar_contradiction_clause,[],[f2815]) ).
thf(f2818,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_47 ),
inference(constrained_superposition,[],[f2799,f333]) ).
thf(f2825,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f2818]) ).
thf(f2838,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f2806,f36]) ).
thf(f2842,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f2838]) ).
thf(f2949,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ X2 )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( z = X0 )
| ( X0 = X2 )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f2796,f30]) ).
thf(f2951,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X2 )
= $true )
| ( z = X0 )
| ( X0 = X2 )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f2949]) ).
thf(f2953,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ X2 )
= $true )
| ( X0 = X2 ) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2951,f127]) ).
thf(f2954,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( s @ X2 )
= X3 )
| ( $true
= ( r @ X3 @ X0 ) )
| ( X0 = X3 )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X2 ) @ X3 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( z = X3 ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f2953,f30]) ).
thf(f2965,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X2 ) @ X3 ) )
| ( z = X3 )
| ( ( s @ X2 )
= X3 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ X3 @ X0 ) )
| ( X0 = X3 ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f2954]) ).
thf(f2996,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= X1 )
| ( $true != $true )
| ( ( s @ X0 )
= X1 )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( z = X1 )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_9 ),
inference(equality_factoring,[],[f2965]) ).
thf(f2999,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X1 )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true ) )
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f2996]) ).
thf(f3000,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( z = X1 )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f2999]) ).
thf(f3039,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ X2 )
!= $true )
| ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f26,f3000]) ).
thf(f3051,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ ( s @ X1 ) @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f3039]) ).
thf(f3054,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ X2 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f3051,f26]) ).
thf(f3072,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= X2 )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( z = X2 ) )
| ~ spl0_9
| ~ spl0_44 ),
inference(constrained_superposition,[],[f3054,f2165]) ).
thf(f3090,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X2 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= X2 )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f3072]) ).
thf(f3112,definition,
( spl0_55
<=> ! [X2: $i,X0: $i] :
( ( z = X2 )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f3113,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( z = X2 )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= X2 ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f3112]) ).
thf(f3114,plain,
( spl0_55
| spl0_37
| ~ spl0_9
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f3090,f2164,f126,f826,f3112]) ).
thf(f3121,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ X1 ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_44
| ~ spl0_55 ),
inference(constrained_superposition,[],[f3113,f2165]) ).
thf(f3136,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ X1 ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_44
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f3121]) ).
thf(f3146,plain,
( ! [X0: $i,X1: $i] :
( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ X1 ) ) ) )
| ~ spl0_44
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f3136,f27]) ).
thf(f3150,definition,
( spl0_57
<=> ! [X2: $i] :
( ( ( s @ ( s @ z ) )
= X2 )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f3151,plain,
( ! [X2: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
= $true )
| ( ( s @ ( s @ z ) )
= X2 ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f3150]) ).
thf(f3191,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X2 )
!= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ X1 ) )
= X2 ) )
| ~ spl0_44
| ~ spl0_55 ),
inference(constrained_superposition,[],[f32,f3146]) ).
thf(f3329,plain,
( ! [X0: $i,X1: $i] :
( ( s @ ( s @ X0 ) )
= ( s @ ( s @ X1 ) ) )
| ~ spl0_44
| ~ spl0_55 ),
inference(equality_resolution,[],[f3191]) ).
thf(f3531,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ X2 ) ) )
!= ( s @ ( s @ X0 ) ) )
| ( ( s @ X1 )
= ( s @ ( s @ X3 ) ) ) )
| ~ spl0_44
| ~ spl0_55 ),
inference(constrained_superposition,[],[f3191,f3329]) ).
thf(f3532,plain,
( ! [X3: $i,X1: $i] :
( ( s @ X1 )
= ( s @ ( s @ X3 ) ) )
| ~ spl0_44
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f3531,f3329]) ).
thf(f3560,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X1 )
!= ( s @ ( s @ X0 ) ) )
| ( X1 = X2 ) )
| ~ spl0_44
| ~ spl0_55 ),
inference(constrained_superposition,[],[f32,f3532]) ).
thf(f3755,plain,
( ! [X2: $i,X1: $i] : ( X1 = X2 )
| ~ spl0_44
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f3560,f3532]) ).
thf(f3936,plain,
( ! [X0: $i] : ( z != X0 )
| ~ spl0_44
| ~ spl0_55 ),
inference(constrained_superposition,[],[f27,f3755]) ).
thf(f4106,plain,
( $false
| ~ spl0_44
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f3936,f3755]) ).
thf(f4107,plain,
( ~ spl0_44
| ~ spl0_55 ),
inference(avatar_contradiction_clause,[],[f4106]) ).
thf(f4112,definition,
( spl0_61
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
thf(f4113,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f4112]) ).
thf(f4119,definition,
( spl0_63
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
thf(f4120,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f4119]) ).
thf(f4121,plain,
( spl0_28
| spl0_63
| ~ spl0_2
| spl0_35 ),
inference(avatar_split_clause,[],[f955,f750,f48,f4119,f660]) ).
thf(f4123,plain,
( spl0_16
| spl0_23
| spl0_28
| ~ spl0_4
| spl0_35 ),
inference(avatar_split_clause,[],[f2743,f750,f61,f660,f580,f168]) ).
thf(f4136,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2842,f27]) ).
thf(f4137,plain,
( spl0_28
| spl0_32 ),
inference(avatar_split_clause,[],[f817,f680,f660]) ).
thf(f4172,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_9
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f4136,f127]) ).
thf(f4182,plain,
( spl0_28
| ~ spl0_9
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f4172,f2805,f126,f660]) ).
thf(f4205,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ~ spl0_37
| ~ spl0_43 ),
inference(constrained_superposition,[],[f827,f2123]) ).
thf(f4207,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_37 ),
inference(constrained_superposition,[],[f827,f37]) ).
thf(f4208,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_37 ),
inference(constrained_superposition,[],[f827,f73]) ).
thf(f4216,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f4208]) ).
thf(f4222,plain,
( ( z
= ( s @ z ) )
| ~ spl0_37
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f4205]) ).
thf(f4224,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f4207]) ).
thf(f4228,plain,
( spl0_61
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f4216,f826,f4112]) ).
thf(f4231,plain,
( $false
| ~ spl0_37
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f4222,f27]) ).
thf(f4232,plain,
( ~ spl0_37
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f4231]) ).
thf(f4251,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f26,f751]) ).
thf(f4252,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f4251]) ).
thf(f4256,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_4
| ~ spl0_61 ),
inference(constrained_superposition,[],[f861,f4113]) ).
thf(f4267,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_4
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f4256]) ).
thf(f4275,definition,
( spl0_76
<=> ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
thf(f4276,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f4275]) ).
thf(f4278,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_4
| ~ spl0_37
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f4267,f827]) ).
thf(f4281,plain,
( ~ spl0_38
| ~ spl0_4
| ~ spl0_37
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f4278,f4112,f826,f61,f914]) ).
thf(f4283,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f159,f30]) ).
thf(f4284,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f4283]) ).
thf(f4287,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f26,f4284]) ).
thf(f4289,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f4287]) ).
thf(f4327,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_4
| ~ spl0_37 ),
inference(constrained_superposition,[],[f2220,f4224]) ).
thf(f4332,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X3 @ X2 )
!= $true ) )
| ~ spl0_37 ),
inference(constrained_superposition,[],[f29,f4224]) ).
thf(f4339,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X2 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f4332]) ).
thf(f4342,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_4
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f4327]) ).
thf(f4349,definition,
( spl0_77
<=> ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
thf(f4350,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f4349]) ).
thf(f4351,plain,
( spl0_45
| spl0_77
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f4339,f826,f4349,f2689]) ).
thf(f4356,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_4
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f4342,f27]) ).
thf(f4360,definition,
( spl0_79
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
thf(f4361,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f4360]) ).
thf(f4363,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_4
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f4356,f827]) ).
thf(f4365,plain,
( spl0_79
| ~ spl0_4
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f4363,f826,f61,f4360]) ).
thf(f4375,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f2690,f36]) ).
thf(f4378,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f4375]) ).
thf(f4380,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f4378,f127]) ).
thf(f4381,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(constrained_superposition,[],[f4380,f30]) ).
thf(f4383,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(constrained_superposition,[],[f4380,f333]) ).
thf(f4385,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f4383]) ).
thf(f4387,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f4381]) ).
thf(f4536,definition,
( spl0_80
<=> ! [X1: $i] :
( ( s @ z )
= ( s @ ( s @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f4537,plain,
( ! [X1: $i] :
( ( s @ z )
= ( s @ ( s @ X1 ) ) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f4536]) ).
thf(f4565,definition,
( spl0_86
<=> ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
thf(f4566,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f4565]) ).
thf(f4654,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(constrained_superposition,[],[f4387,f30]) ).
thf(f4655,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f4654]) ).
thf(f4657,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f4655,f127]) ).
thf(f4853,definition,
( spl0_90
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
thf(f4854,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f4853]) ).
thf(f4883,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_4
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f2679,f827]) ).
thf(f4885,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f4883,f827]) ).
thf(f4886,plain,
( spl0_86
| ~ spl0_4
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f4885,f826,f61,f4565]) ).
thf(f4887,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_86 ),
inference(constrained_superposition,[],[f4566,f35]) ).
thf(f4889,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f4887]) ).
thf(f4891,plain,
( spl0_39
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f4889,f4565,f917]) ).
thf(f4996,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f74,f159]) ).
thf(f4997,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f4289,f4996]) ).
thf(f4999,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f26,f4996]) ).
thf(f5001,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( s @ z )
= X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f4997]) ).
thf(f5002,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f4999]) ).
thf(f5005,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_13
| ~ spl0_39 ),
inference(constrained_superposition,[],[f5001,f918]) ).
thf(f5007,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ z )
= X1 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_13
| ~ spl0_79 ),
inference(constrained_superposition,[],[f5001,f4361]) ).
thf(f5024,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ z )
= X1 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_13
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f5007]) ).
thf(f5032,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( s @ z )
= X1 ) )
| ~ spl0_13
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f5005]) ).
thf(f5052,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X1 ) ) ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ X1 ) ) )
= X0 ) )
| ~ spl0_9
| ~ spl0_13
| ~ spl0_39 ),
inference(constrained_superposition,[],[f5032,f3000]) ).
thf(f5059,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X1 ) ) ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ X1 ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_9
| ~ spl0_13
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f5052]) ).
thf(f5126,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= X1 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_9
| ~ spl0_13
| ~ spl0_39 ),
inference(constrained_superposition,[],[f5002,f5059]) ).
thf(f5147,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X1 )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= X1 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_9
| ~ spl0_13
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f5126]) ).
thf(f5153,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= X1 )
| ( z = X1 ) )
| ~ spl0_9
| ~ spl0_13
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f5147,f4284]) ).
thf(f5170,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ ( s @ ( s @ X1 ) ) )
= X0 )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_9
| ~ spl0_13
| ~ spl0_39
| ~ spl0_45 ),
inference(constrained_superposition,[],[f5153,f4657]) ).
thf(f5183,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ X1 ) ) )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_9
| ~ spl0_13
| ~ spl0_39
| ~ spl0_45 ),
inference(duplicate_literal_removal,[],[f5170]) ).
thf(f5184,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ X1 ) ) )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_9
| ~ spl0_13
| ~ spl0_39
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f5183]) ).
thf(f5703,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X1 )
| ( ( s @ z )
= ( s @ ( s @ X2 ) ) ) )
| ~ spl0_9
| ~ spl0_13
| ~ spl0_39
| ~ spl0_45
| ~ spl0_79 ),
inference(constrained_superposition,[],[f5024,f5184]) ).
thf(f5865,definition,
( spl0_103
<=> ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
thf(f5866,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f5865]) ).
thf(f5867,plain,
( spl0_80
| spl0_103
| ~ spl0_9
| ~ spl0_13
| ~ spl0_39
| ~ spl0_45
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f5703,f4360,f2689,f917,f158,f126,f5865,f4536]) ).
thf(f5900,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f333,f4537]) ).
thf(f6033,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f5900,f28]) ).
thf(f6042,plain,
( $false
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f6033,f31]) ).
thf(f6043,plain,
~ spl0_80,
inference(avatar_contradiction_clause,[],[f6042]) ).
thf(f6225,plain,
( ( ( s @ z )
!= ( s @ ( s @ z ) ) )
| spl0_23 ),
inference(avatar_component_clause,[],[f580]) ).
thf(f6429,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) )
| spl0_23 ),
inference(extensionality_resolution,[],[f41,f6225]) ).
thf(f6438,definition,
( spl0_108
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
thf(f6439,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f6438]) ).
thf(f6441,definition,
( spl0_109
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
thf(f6442,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f6441]) ).
thf(f6445,definition,
( spl0_110
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
thf(f6446,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f6445]) ).
thf(f6448,definition,
( spl0_111
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
thf(f6449,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f6448]) ).
thf(f6453,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| spl0_38 ),
inference(constrained_superposition,[],[f915,f35]) ).
thf(f6455,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_38 ),
inference(trivial_inequality_removal,[],[f6453]) ).
thf(f6472,definition,
( spl0_112
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
thf(f6473,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f6472]) ).
thf(f6475,definition,
( spl0_113
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
thf(f6476,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f6475]) ).
thf(f6478,definition,
( spl0_114
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
thf(f6479,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_114 ),
inference(avatar_component_clause,[],[f6478]) ).
thf(f6482,definition,
( spl0_115
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
thf(f6483,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 )
| ( z = X1 ) )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f6482]) ).
thf(f6489,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_79
| ~ spl0_112 ),
inference(constrained_superposition,[],[f6473,f4361]) ).
thf(f6495,plain,
( ( $true != $true )
| ~ spl0_44
| ~ spl0_112 ),
inference(constrained_superposition,[],[f6473,f2165]) ).
thf(f6504,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_79
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f6489]) ).
thf(f6507,plain,
( $false
| ~ spl0_44
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f6495]) ).
thf(f6508,plain,
( ~ spl0_44
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f6507]) ).
thf(f6524,plain,
( $false
| spl0_23
| ~ spl0_79
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f6504,f6225]) ).
thf(f6525,plain,
( spl0_23
| ~ spl0_79
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f6524]) ).
thf(f6571,definition,
( spl0_118
<=> ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
thf(f6572,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f6571]) ).
thf(f6574,definition,
( spl0_119
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
thf(f6575,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f6574]) ).
thf(f6578,definition,
( spl0_120
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
thf(f6579,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_120 ),
inference(avatar_component_clause,[],[f6578]) ).
thf(f6600,definition,
( spl0_122
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
thf(f6601,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f6600]) ).
thf(f6611,definition,
( spl0_125
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
thf(f6612,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f6611]) ).
thf(f6628,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_122 ),
inference(constrained_superposition,[],[f333,f6601]) ).
thf(f6690,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f6628,f31]) ).
thf(f6698,plain,
( $false
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f6690,f28]) ).
thf(f6699,plain,
~ spl0_122,
inference(avatar_contradiction_clause,[],[f6698]) ).
thf(f6732,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_120 ),
inference(constrained_superposition,[],[f6579,f30]) ).
thf(f6734,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_120 ),
inference(trivial_inequality_removal,[],[f6732]) ).
thf(f6737,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_9
| spl0_120 ),
inference(forward_subsumption_resolution,[],[f6734,f127]) ).
thf(f6738,plain,
( $false
| ~ spl0_9
| spl0_120 ),
inference(forward_subsumption_resolution,[],[f6737,f27]) ).
thf(f6739,plain,
( ~ spl0_9
| spl0_120 ),
inference(avatar_contradiction_clause,[],[f6738]) ).
thf(f6766,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f83,f6446]) ).
thf(f6768,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f26,f6446]) ).
thf(f6769,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f6768]) ).
thf(f6772,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f6766]) ).
thf(f6777,definition,
( spl0_127
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
thf(f6778,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f6777]) ).
thf(f6780,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_110
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f6772,f6572]) ).
thf(f6782,definition,
( spl0_128
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
thf(f6783,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_128 ),
inference(avatar_component_clause,[],[f6782]) ).
thf(f6784,plain,
( spl0_127
| ~ spl0_128
| ~ spl0_110
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f6780,f6571,f6445,f6782,f6777]) ).
thf(f6800,definition,
( spl0_129
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
thf(f6801,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f6800]) ).
thf(f6809,definition,
( spl0_131
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
thf(f6810,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f6809]) ).
thf(f6824,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_129 ),
inference(constrained_superposition,[],[f73,f6801]) ).
thf(f6891,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f6824,f31]) ).
thf(f6900,plain,
( $false
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f6891,f28]) ).
thf(f6901,plain,
~ spl0_129,
inference(avatar_contradiction_clause,[],[f6900]) ).
thf(f6927,definition,
( spl0_132
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
thf(f6928,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_132 ),
inference(avatar_component_clause,[],[f6927]) ).
thf(f6934,definition,
( spl0_134
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
thf(f6935,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f6934]) ).
thf(f6938,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_132 ),
inference(constrained_superposition,[],[f6928,f30]) ).
thf(f6939,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_132 ),
inference(trivial_inequality_removal,[],[f6938]) ).
thf(f6941,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| spl0_132 ),
inference(forward_subsumption_resolution,[],[f6939,f127]) ).
thf(f6944,plain,
( $false
| ~ spl0_9
| spl0_132 ),
inference(forward_subsumption_resolution,[],[f6941,f27]) ).
thf(f6945,plain,
( ~ spl0_9
| spl0_132 ),
inference(avatar_contradiction_clause,[],[f6944]) ).
thf(f6948,plain,
( ( $true != $true )
| ~ spl0_109
| ~ spl0_134 ),
inference(constrained_superposition,[],[f6935,f6442]) ).
thf(f6952,plain,
( $false
| ~ spl0_109
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f6948]) ).
thf(f6953,plain,
( ~ spl0_109
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f6952]) ).
thf(f6958,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_114 ),
inference(constrained_superposition,[],[f6479,f37]) ).
thf(f6964,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_114 ),
inference(trivial_inequality_removal,[],[f6958]) ).
thf(f6969,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_114 ),
inference(forward_subsumption_resolution,[],[f6964,f27]) ).
thf(f7159,definition,
( spl0_135
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
thf(f7160,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f7159]) ).
thf(f7182,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_125 ),
inference(constrained_superposition,[],[f26,f6612]) ).
thf(f7183,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_125 ),
inference(trivial_inequality_removal,[],[f7182]) ).
thf(f7191,plain,
( spl0_135
| spl0_114 ),
inference(avatar_split_clause,[],[f6969,f6478,f7159]) ).
thf(f7226,definition,
( spl0_137
<=> ! [X1: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 )
| ( z = X1 )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
thf(f7227,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 )
| ( z = X1 ) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f7226]) ).
thf(f7431,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_110
| ~ spl0_131 ),
inference(constrained_superposition,[],[f6769,f6810]) ).
thf(f7432,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f6769,f73]) ).
thf(f7450,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f7432]) ).
thf(f7458,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_110
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f7431]) ).
thf(f7463,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_110
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f7450,f6935]) ).
thf(f7465,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_110
| ~ spl0_125
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f7458,f6612]) ).
thf(f7470,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_110
| ~ spl0_125
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f7463,f6612]) ).
thf(f7471,plain,
( spl0_6
| ~ spl0_110
| ~ spl0_125
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f7465,f6809,f6611,f6445,f89]) ).
thf(f7472,plain,
( spl0_6
| ~ spl0_110
| ~ spl0_125
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f7470,f6934,f6611,f6445,f89]) ).
thf(f7473,plain,
( $false
| ~ spl0_111
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f6449,f6572]) ).
thf(f7474,plain,
( ~ spl0_111
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[],[f7473]) ).
thf(f7528,definition,
( spl0_145
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
thf(f7529,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f7528]) ).
thf(f7531,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_110
| ~ spl0_125 ),
inference(constrained_superposition,[],[f7183,f6446]) ).
thf(f7539,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_110
| ~ spl0_125 ),
inference(trivial_inequality_removal,[],[f7531]) ).
thf(f7542,definition,
( spl0_146
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
thf(f7543,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f7542]) ).
thf(f7545,plain,
( spl0_127
| ~ spl0_128
| ~ spl0_110
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f7539,f6611,f6445,f6782,f6777]) ).
thf(f7574,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_145 ),
inference(constrained_superposition,[],[f7529,f36]) ).
thf(f7576,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f7574]) ).
thf(f7582,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_9
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f7576,f127]) ).
thf(f7586,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_109
| ~ spl0_145 ),
inference(constrained_superposition,[],[f7582,f6442]) ).
thf(f7587,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_145 ),
inference(constrained_superposition,[],[f7582,f334]) ).
thf(f7592,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f7587]) ).
thf(f7593,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_109
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f7586]) ).
thf(f7596,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_37
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f7592,f827]) ).
thf(f7597,plain,
( ~ spl0_132
| ~ spl0_9
| ~ spl0_109
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f7593,f7528,f6441,f126,f6927]) ).
thf(f7599,plain,
( ~ spl0_48
| ~ spl0_9
| ~ spl0_37
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f7596,f7528,f826,f126,f2802]) ).
thf(f7603,plain,
( ( $true != $true )
| ~ spl0_39
| ~ spl0_127 ),
inference(constrained_superposition,[],[f6778,f918]) ).
thf(f7605,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_79
| ~ spl0_127 ),
inference(constrained_superposition,[],[f6778,f4361]) ).
thf(f7610,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_127 ),
inference(constrained_superposition,[],[f6778,f73]) ).
thf(f7611,plain,
( ( $true != $true )
| ~ spl0_44
| ~ spl0_127 ),
inference(constrained_superposition,[],[f6778,f2165]) ).
thf(f7623,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_79
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f7605]) ).
thf(f7627,plain,
( $false
| ~ spl0_44
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f7611]) ).
thf(f7628,plain,
( ~ spl0_44
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f7627]) ).
thf(f7635,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f7610]) ).
thf(f7637,plain,
( $false
| ~ spl0_39
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f7603]) ).
thf(f7638,plain,
( ~ spl0_39
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f7637]) ).
thf(f7643,plain,
( spl0_122
| ~ spl0_79
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f7623,f6777,f4360,f6600]) ).
thf(f7653,plain,
( spl0_113
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f7635,f6777,f6475]) ).
thf(f7668,plain,
( $false
| ~ spl0_113
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f6476,f6935]) ).
thf(f7669,plain,
( ~ spl0_113
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f7668]) ).
thf(f7672,definition,
( spl0_148
<=> ! [X1: $i] :
( ( ( s @ z )
= X1 )
| ( z = X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
thf(f7673,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X1 )
| ( z = X1 ) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f7672]) ).
thf(f7676,plain,
( spl0_49
| ~ spl0_48
| spl0_44
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f2792,f126,f2164,f2802,f2805]) ).
thf(f7683,plain,
( ~ spl0_48
| spl0_44
| spl0_28
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f2825,f2798,f660,f2164,f2802]) ).
thf(f7694,definition,
( spl0_151
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
thf(f7695,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f7694]) ).
thf(f7725,definition,
( spl0_153
<=> ! [X1: $i] :
( ( z = X1 )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
thf(f7726,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 ) )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f7725]) ).
thf(f7734,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f6473,f73]) ).
thf(f7744,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f7734]) ).
thf(f7750,plain,
( spl0_146
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f7744,f6472,f7542]) ).
thf(f7793,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_26
| ~ spl0_111 ),
inference(constrained_superposition,[],[f2151,f6449]) ).
thf(f7800,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_111 ),
inference(constrained_superposition,[],[f2219,f6449]) ).
thf(f7803,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f7800]) ).
thf(f7807,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_26
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f7793]) ).
thf(f7814,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f7803,f27]) ).
thf(f7816,definition,
( spl0_154
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
thf(f7817,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f7816]) ).
thf(f7819,definition,
( spl0_155
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
thf(f7820,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f7819]) ).
thf(f7824,definition,
( spl0_156
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
thf(f7825,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_156 ),
inference(avatar_component_clause,[],[f7824]) ).
thf(f7828,definition,
( spl0_157
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
thf(f7829,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f7828]) ).
thf(f7830,plain,
( ~ spl0_120
| spl0_157
| ~ spl0_9
| ~ spl0_26
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f7807,f6448,f590,f126,f7828,f6578]) ).
thf(f7833,definition,
( spl0_158
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
thf(f7834,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f7833]) ).
thf(f7836,definition,
( spl0_159
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
thf(f7837,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_159 ),
inference(avatar_component_clause,[],[f7836]) ).
thf(f7840,definition,
( spl0_160
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
thf(f7841,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f7840]) ).
thf(f7845,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f7814,f27]) ).
thf(f7847,plain,
( spl0_158
| spl0_154
| ~ spl0_4
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f7845,f6448,f61,f7816,f7833]) ).
thf(f7854,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_159 ),
inference(constrained_superposition,[],[f7837,f35]) ).
thf(f7856,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_159 ),
inference(trivial_inequality_removal,[],[f7854]) ).
thf(f7865,definition,
( spl0_161
<=> ! [X1: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 )
| ( z = X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
thf(f7866,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( z = X1 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 ) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f7865]) ).
thf(f7897,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(constrained_superposition,[],[f4385,f36]) ).
thf(f7900,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f7897]) ).
thf(f7902,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_9
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f7900,f127]) ).
thf(f7904,plain,
( spl0_44
| ~ spl0_9
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f7902,f2689,f126,f2164]) ).
thf(f7909,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_46
| ~ spl0_113 ),
inference(constrained_superposition,[],[f2693,f6476]) ).
thf(f7912,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_46
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f7909]) ).
thf(f7929,definition,
( spl0_162
<=> ! [X1: $i] :
( ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
thf(f7930,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 ) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f7929]) ).
thf(f7935,plain,
( ( $true != $true )
| ~ spl0_127
| ~ spl0_154 ),
inference(constrained_superposition,[],[f6778,f7817]) ).
thf(f7941,plain,
( ( $true != $true )
| ~ spl0_108
| ~ spl0_127 ),
inference(constrained_superposition,[],[f6778,f6439]) ).
thf(f7942,plain,
( ( $true != $true )
| ~ spl0_127
| ~ spl0_157 ),
inference(constrained_superposition,[],[f6778,f7829]) ).
thf(f7946,plain,
( $false
| ~ spl0_127
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f7935]) ).
thf(f7947,plain,
( ~ spl0_127
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f7946]) ).
thf(f7949,plain,
( $false
| ~ spl0_127
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f7942]) ).
thf(f7950,plain,
( ~ spl0_127
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f7949]) ).
thf(f7955,plain,
( $false
| ~ spl0_108
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f7941]) ).
thf(f7956,plain,
( ~ spl0_108
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f7955]) ).
thf(f7962,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_46
| ~ spl0_146 ),
inference(constrained_superposition,[],[f2693,f7543]) ).
thf(f7981,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f7962]) ).
thf(f7986,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_35
| ~ spl0_46
| ~ spl0_146 ),
inference(constrained_superposition,[],[f4252,f7981]) ).
thf(f7987,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_46
| ~ spl0_146 ),
inference(constrained_superposition,[],[f83,f7981]) ).
thf(f7990,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_35
| ~ spl0_46
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f7986]) ).
thf(f7991,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_46
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f7987]) ).
thf(f7994,plain,
( spl0_112
| ~ spl0_114
| ~ spl0_35
| ~ spl0_46
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f7990,f7542,f2692,f750,f6478,f6472]) ).
thf(f7995,plain,
( spl0_61
| ~ spl0_114
| spl0_112
| ~ spl0_46
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f7991,f7542,f2692,f6472,f6478,f4112]) ).
thf(f8046,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_46
| ~ spl0_113 ),
inference(constrained_superposition,[],[f83,f7912]) ).
thf(f8047,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 ) )
| ~ spl0_9
| ~ spl0_46
| ~ spl0_113 ),
inference(constrained_superposition,[],[f3054,f7912]) ).
thf(f8049,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_46
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f8047]) ).
thf(f8050,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_46
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f8046]) ).
thf(f8054,definition,
( spl0_163
<=> ! [X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
thf(f8055,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f8054]) ).
thf(f8056,plain,
( spl0_127
| spl0_163
| ~ spl0_9
| ~ spl0_46
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f8049,f6475,f2692,f126,f8054,f6777]) ).
thf(f8066,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f147,f36]) ).
thf(f8067,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f8066]) ).
thf(f8070,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f8067,f127]) ).
thf(f8072,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_12
| ~ spl0_113 ),
inference(constrained_superposition,[],[f8070,f6476]) ).
thf(f8074,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_12
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f8072]) ).
thf(f8077,plain,
( ~ spl0_132
| ~ spl0_9
| ~ spl0_12
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f8074,f6475,f146,f126,f6927]) ).
thf(f8078,plain,
( spl0_127
| spl0_61
| ~ spl0_128
| ~ spl0_46
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f8050,f6475,f2692,f6782,f4112,f6777]) ).
thf(f8085,definition,
( spl0_165
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
thf(f8086,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f8085]) ).
thf(f8088,plain,
( spl0_12
| spl0_35
| spl0_27
| spl0_23 ),
inference(avatar_split_clause,[],[f6429,f580,f593,f750,f146]) ).
thf(f8096,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f594,f30]) ).
thf(f8097,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f8096]) ).
thf(f8101,plain,
( spl0_57
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f8097,f593,f3150]) ).
thf(f8103,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_35 ),
inference(constrained_superposition,[],[f828,f37]) ).
thf(f8110,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_35 ),
inference(trivial_inequality_removal,[],[f8103]) ).
thf(f8113,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_35 ),
inference(forward_subsumption_resolution,[],[f8110,f27]) ).
thf(f8115,plain,
( $false
| ~ spl0_13
| spl0_35 ),
inference(forward_subsumption_resolution,[],[f8113,f159]) ).
thf(f8116,plain,
( ~ spl0_13
| spl0_35 ),
inference(avatar_contradiction_clause,[],[f8115]) ).
thf(f8117,plain,
( spl0_165
| spl0_35 ),
inference(avatar_split_clause,[],[f8113,f750,f8085]) ).
thf(f8141,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f26,f358]) ).
thf(f8144,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f8141]) ).
thf(f8185,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_46
| ~ spl0_109 ),
inference(constrained_superposition,[],[f2693,f6442]) ).
thf(f8186,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_47
| ~ spl0_109 ),
inference(constrained_superposition,[],[f2799,f6442]) ).
thf(f8189,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_26
| ~ spl0_109 ),
inference(constrained_superposition,[],[f2151,f6442]) ).
thf(f8198,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_46
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f8185]) ).
thf(f8200,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_26
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f8189]) ).
thf(f8209,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_47
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f8186]) ).
thf(f8212,definition,
( spl0_166
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
thf(f8213,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f8212]) ).
thf(f8214,plain,
( ~ spl0_132
| spl0_166
| ~ spl0_9
| ~ spl0_26
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f8200,f6441,f590,f126,f8212,f6927]) ).
thf(f8218,definition,
( spl0_167
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
thf(f8219,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f8218]) ).
thf(f8221,plain,
( ~ spl0_120
| spl0_158
| ~ spl0_47
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f8209,f6441,f2798,f7833,f6578]) ).
thf(f8231,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f26,f8213]) ).
thf(f8233,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f8231]) ).
thf(f8338,definition,
( spl0_169
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).
thf(f8339,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f8338]) ).
thf(f8357,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_148
| ~ spl0_157 ),
inference(constrained_superposition,[],[f7673,f7829]) ).
thf(f8358,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_148
| ~ spl0_166 ),
inference(constrained_superposition,[],[f7673,f8213]) ).
thf(f8364,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_148
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f8358]) ).
thf(f8366,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_148
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f8357]) ).
thf(f8372,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_148
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f8364,f27]) ).
thf(f8374,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_148
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f8366,f27]) ).
thf(f8376,plain,
( spl0_122
| ~ spl0_148
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f8372,f8212,f7672,f6600]) ).
thf(f8378,plain,
( spl0_129
| ~ spl0_148
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f8374,f7828,f7672,f6800]) ).
thf(f8458,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_4
| ~ spl0_135 ),
inference(constrained_superposition,[],[f861,f7160]) ).
thf(f8478,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f8458]) ).
thf(f8490,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f8144,f73]) ).
thf(f8492,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_19
| ~ spl0_110 ),
inference(constrained_superposition,[],[f8144,f6446]) ).
thf(f8497,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_19
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f8492]) ).
thf(f8500,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f8490]) ).
thf(f8511,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_19
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f8497,f358]) ).
thf(f8512,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_19
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f8500,f587]) ).
thf(f8515,plain,
( spl0_127
| ~ spl0_19
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f8511,f6445,f357,f6777]) ).
thf(f8516,plain,
( spl0_36
| spl0_6
| ~ spl0_19
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f8512,f586,f357,f89,f823]) ).
thf(f8522,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_9
| ~ spl0_46
| ~ spl0_109 ),
inference(constrained_superposition,[],[f3054,f8198]) ).
thf(f8527,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_9
| ~ spl0_46
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f8522]) ).
thf(f8528,plain,
( spl0_127
| spl0_163
| ~ spl0_9
| ~ spl0_46
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f8527,f6441,f2692,f126,f8054,f6777]) ).
thf(f8536,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f8233,f73]) ).
thf(f8550,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f8536]) ).
thf(f8553,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_25
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f8550,f587]) ).
thf(f8560,plain,
( spl0_6
| spl0_146
| ~ spl0_25
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f8553,f8212,f586,f7542,f89]) ).
thf(f8562,plain,
( spl0_154
| spl0_159 ),
inference(avatar_split_clause,[],[f7856,f7836,f7816]) ).
thf(f8569,plain,
( ~ spl0_156
| spl0_16
| ~ spl0_4
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f8478,f7159,f61,f168,f7824]) ).
thf(f8570,plain,
( spl0_16
| spl0_38 ),
inference(avatar_split_clause,[],[f6455,f914,f168]) ).
thf(f8584,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_118 ),
inference(constrained_superposition,[],[f6572,f333]) ).
thf(f8590,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f8584]) ).
thf(f8591,plain,
( spl0_166
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f8590,f6571,f8212]) ).
thf(f8595,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_156 ),
inference(constrained_superposition,[],[f7825,f30]) ).
thf(f8596,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_156 ),
inference(trivial_inequality_removal,[],[f8595]) ).
thf(f8604,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_9
| spl0_114 ),
inference(constrained_superposition,[],[f6479,f3000]) ).
thf(f8607,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_9
| spl0_114 ),
inference(trivial_inequality_removal,[],[f8604]) ).
thf(f8611,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_9
| spl0_114 ),
inference(forward_subsumption_resolution,[],[f8607,f27]) ).
thf(f8613,plain,
( spl0_122
| spl0_125
| ~ spl0_9
| spl0_114 ),
inference(avatar_split_clause,[],[f8611,f6478,f126,f6611,f6600]) ).
thf(f8628,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_128 ),
inference(constrained_superposition,[],[f6783,f37]) ).
thf(f8631,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_9
| spl0_128 ),
inference(constrained_superposition,[],[f6783,f3000]) ).
thf(f8633,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| spl0_128 ),
inference(trivial_inequality_removal,[],[f8631]) ).
thf(f8634,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_128 ),
inference(trivial_inequality_removal,[],[f8628]) ).
thf(f8638,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| spl0_128 ),
inference(forward_subsumption_resolution,[],[f8633,f27]) ).
thf(f8639,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_128 ),
inference(forward_subsumption_resolution,[],[f8634,f27]) ).
thf(f8641,plain,
( spl0_129
| spl0_131
| ~ spl0_9
| spl0_128 ),
inference(avatar_split_clause,[],[f8638,f6782,f126,f6809,f6800]) ).
thf(f8643,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X1 )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_9
| ~ spl0_131 ),
inference(constrained_superposition,[],[f3054,f6810]) ).
thf(f8646,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( z = X1 )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f8643]) ).
thf(f8648,plain,
( spl0_137
| spl0_6
| ~ spl0_9
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f8646,f6809,f126,f89,f7226]) ).
thf(f8651,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_4
| spl0_128 ),
inference(constrained_superposition,[],[f861,f8639]) ).
thf(f8661,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_4
| spl0_128 ),
inference(trivial_inequality_removal,[],[f8651]) ).
thf(f8679,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 )
| ( z = X1 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_9
| ~ spl0_108 ),
inference(constrained_superposition,[],[f3054,f6439]) ).
thf(f8681,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 ) )
| ~ spl0_9
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f8679]) ).
thf(f8684,plain,
( spl0_112
| spl0_115
| ~ spl0_9
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f8681,f6438,f126,f6482,f6472]) ).
thf(f8685,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_46
| ~ spl0_111 ),
inference(constrained_superposition,[],[f2693,f6449]) ).
thf(f8701,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f8685]) ).
thf(f8711,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X1 ) )
| ~ spl0_9
| ~ spl0_46
| ~ spl0_111 ),
inference(constrained_superposition,[],[f3054,f8701]) ).
thf(f8712,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_46
| ~ spl0_111 ),
inference(constrained_superposition,[],[f26,f8701]) ).
thf(f8714,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X1 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_9
| ~ spl0_46
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f8711]) ).
thf(f8716,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_46
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f8712]) ).
thf(f8717,plain,
( spl0_162
| spl0_112
| ~ spl0_9
| ~ spl0_46
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f8714,f6448,f2692,f126,f6472,f7929]) ).
thf(f8757,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_46
| ~ spl0_111
| ~ spl0_125 ),
inference(constrained_superposition,[],[f8716,f6612]) ).
thf(f8771,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_46
| ~ spl0_111
| ~ spl0_125 ),
inference(trivial_inequality_removal,[],[f8757]) ).
thf(f8774,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_25
| ~ spl0_46
| ~ spl0_111
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f8771,f587]) ).
thf(f8776,plain,
( spl0_6
| ~ spl0_25
| ~ spl0_46
| ~ spl0_111
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f8774,f6611,f6448,f2692,f586,f89]) ).
thf(f8779,plain,
( spl0_16
| ~ spl0_159
| ~ spl0_4
| spl0_128 ),
inference(avatar_split_clause,[],[f8661,f6782,f61,f7836,f168]) ).
thf(f8785,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(constrained_superposition,[],[f90,f2307]) ).
thf(f8794,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f8785]) ).
thf(f8798,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f8794,f90]) ).
thf(f8800,plain,
( spl0_90
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f8798,f89,f61,f4853]) ).
thf(f8821,plain,
( $false
| ~ spl0_6
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f751,f90]) ).
thf(f8822,plain,
( ~ spl0_6
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f8821]) ).
thf(f8851,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f26,f358]) ).
thf(f8855,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f8851]) ).
thf(f8868,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_108 ),
inference(constrained_superposition,[],[f8855,f6439]) ).
thf(f8877,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_19
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f8868]) ).
thf(f8886,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_19
| ~ spl0_46
| ~ spl0_108
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f8877,f8701]) ).
thf(f8888,plain,
( spl0_112
| ~ spl0_19
| ~ spl0_46
| ~ spl0_108
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f8886,f6448,f6438,f2692,f357,f6472]) ).
thf(f8944,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ z )
= X1 )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_35 ),
inference(constrained_superposition,[],[f3054,f751]) ).
thf(f8947,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X1 ) )
| ~ spl0_9
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f8944]) ).
thf(f8984,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_9
| ~ spl0_146 ),
inference(constrained_superposition,[],[f2776,f7543]) ).
thf(f8985,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_146 ),
inference(constrained_superposition,[],[f861,f7543]) ).
thf(f9001,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f8984]) ).
thf(f9002,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_4
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f8985]) ).
thf(f9003,plain,
( spl0_76
| ~ spl0_22
| ~ spl0_9
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f9001,f7542,f126,f367,f4275]) ).
thf(f9116,plain,
( spl0_148
| spl0_37
| ~ spl0_9
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f8947,f750,f126,f826,f7672]) ).
thf(f9158,plain,
( ( $true != $true )
| ~ spl0_112
| ~ spl0_158 ),
inference(constrained_superposition,[],[f6473,f7834]) ).
thf(f9164,plain,
( ( $true != $true )
| ~ spl0_110
| ~ spl0_112 ),
inference(constrained_superposition,[],[f6473,f6446]) ).
thf(f9167,plain,
( $false
| ~ spl0_110
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f9164]) ).
thf(f9168,plain,
( ~ spl0_110
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f9167]) ).
thf(f9177,plain,
( $false
| ~ spl0_112
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f9158]) ).
thf(f9178,plain,
( ~ spl0_112
| ~ spl0_158 ),
inference(avatar_contradiction_clause,[],[f9177]) ).
thf(f9182,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_156 ),
inference(forward_subsumption_resolution,[],[f8596,f27]) ).
thf(f9183,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_4
| ~ spl0_112
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f9002,f6473]) ).
thf(f9188,plain,
( $false
| ~ spl0_112
| spl0_156 ),
inference(forward_subsumption_resolution,[],[f9182,f6473]) ).
thf(f9189,plain,
( ~ spl0_112
| spl0_156 ),
inference(avatar_contradiction_clause,[],[f9188]) ).
thf(f9190,plain,
( ~ spl0_38
| ~ spl0_4
| ~ spl0_112
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f9183,f7542,f6472,f61,f914]) ).
thf(f9301,definition,
( spl0_173
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
thf(f9302,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f9301]) ).
thf(f9336,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_9
| ~ spl0_25 ),
inference(constrained_superposition,[],[f3054,f587]) ).
thf(f9340,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X1 )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_9
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f9336]) ).
thf(f9341,plain,
( spl0_153
| spl0_6
| ~ spl0_9
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f9340,f586,f126,f89,f7725]) ).
thf(f9385,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f83,f358]) ).
thf(f9389,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f9385]) ).
thf(f9391,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_19
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f9389,f594]) ).
thf(f9392,plain,
( spl0_169
| ~ spl0_19
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f9391,f593,f357,f8338]) ).
thf(f9393,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_157 ),
inference(constrained_superposition,[],[f83,f7829]) ).
thf(f9394,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 )
| ( $true != $true )
| ( z = X1 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_157 ),
inference(constrained_superposition,[],[f3054,f7829]) ).
thf(f9396,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 ) )
| ~ spl0_9
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f9394]) ).
thf(f9398,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f9393]) ).
thf(f9399,plain,
( spl0_37
| spl0_161
| ~ spl0_9
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f9396,f7828,f126,f7865,f826]) ).
thf(f9463,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_169 ),
inference(constrained_superposition,[],[f8339,f37]) ).
thf(f9471,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f9463]) ).
thf(f9475,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_169 ),
inference(forward_subsumption_resolution,[],[f9471,f27]) ).
thf(f9484,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_108
| ~ spl0_169 ),
inference(constrained_superposition,[],[f9475,f6439]) ).
thf(f9497,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_108
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f9484]) ).
thf(f9510,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_108
| ~ spl0_169 ),
inference(constrained_superposition,[],[f29,f9497]) ).
thf(f9515,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_108
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f9510]) ).
thf(f9524,plain,
( spl0_134
| spl0_12
| ~ spl0_108
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f9515,f8338,f6438,f146,f6934]) ).
thf(f9555,plain,
( spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f2757,f58,f61]) ).
thf(f9557,plain,
( spl0_37
| ~ spl0_35
| spl0_113
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f9398,f7828,f6475,f750,f826]) ).
thf(f9561,definition,
( spl0_174
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
thf(f9562,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f9561]) ).
thf(f9565,plain,
( ( $true != $true )
| ~ spl0_13
| ~ spl0_108
| ~ spl0_169 ),
inference(constrained_superposition,[],[f159,f9497]) ).
thf(f9567,plain,
( $false
| ~ spl0_13
| ~ spl0_108
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f9565]) ).
thf(f9568,plain,
( ~ spl0_13
| ~ spl0_108
| ~ spl0_169 ),
inference(avatar_contradiction_clause,[],[f9567]) ).
thf(f9585,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_77
| ~ spl0_146 ),
inference(constrained_superposition,[],[f4350,f7543]) ).
thf(f9590,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_77
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f9585]) ).
thf(f9595,plain,
( $false
| spl0_23
| ~ spl0_77
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f9590,f6225]) ).
thf(f9596,plain,
( spl0_23
| ~ spl0_77
| ~ spl0_146 ),
inference(avatar_contradiction_clause,[],[f9595]) ).
thf(f9600,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_61 ),
inference(constrained_superposition,[],[f49,f4113]) ).
thf(f9603,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f9600]) ).
thf(f9606,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f6935,f35]) ).
thf(f9613,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f9606]) ).
thf(f9614,plain,
( spl0_154
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f9613,f6934,f7816]) ).
thf(f9616,definition,
( spl0_175
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
thf(f9617,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f9616]) ).
thf(f9619,plain,
( spl0_63
| spl0_16
| ~ spl0_2
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f9603,f4112,f48,f168,f4119]) ).
thf(f9623,plain,
( ( $true != $true )
| ~ spl0_7
| ~ spl0_134 ),
inference(constrained_superposition,[],[f6935,f93]) ).
thf(f9630,plain,
( $false
| ~ spl0_7
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f9623]) ).
thf(f9631,plain,
( ~ spl0_7
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f9630]) ).
thf(f9668,definition,
( spl0_176
<=> ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
thf(f9669,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f9668]) ).
thf(f9678,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_63 ),
inference(constrained_superposition,[],[f4120,f333]) ).
thf(f9683,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f9678]) ).
thf(f9703,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_111
| ~ spl0_174 ),
inference(constrained_superposition,[],[f9562,f6449]) ).
thf(f9705,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f9562,f36]) ).
thf(f9706,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_111
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f9703]) ).
thf(f9710,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f9705]) ).
thf(f9711,plain,
( $false
| ~ spl0_111
| ~ spl0_146
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f9706,f7543]) ).
thf(f9712,plain,
( ~ spl0_111
| ~ spl0_146
| ~ spl0_174 ),
inference(avatar_contradiction_clause,[],[f9711]) ).
thf(f9715,definition,
( spl0_177
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
thf(f9716,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f9715]) ).
thf(f9717,plain,
( spl0_177
| ~ spl0_22
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f9710,f9561,f367,f9715]) ).
thf(f9739,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_155 ),
inference(constrained_superposition,[],[f7820,f334]) ).
thf(f9744,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f9739]) ).
thf(f9747,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_37
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f9744,f827]) ).
thf(f9752,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_37
| ~ spl0_155 ),
inference(constrained_superposition,[],[f9747,f30]) ).
thf(f9755,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_37
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f9752]) ).
thf(f9759,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_37
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f9755,f827]) ).
thf(f9762,plain,
( spl0_151
| ~ spl0_37
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f9759,f7819,f826,f7694]) ).
thf(f9763,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f2756,f48,f45]) ).
thf(f9764,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f46,f36]) ).
thf(f9765,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f46,f30]) ).
thf(f9766,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f9765]) ).
thf(f9767,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f9764]) ).
thf(f9771,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_3
| ~ spl0_7 ),
inference(constrained_superposition,[],[f59,f93]) ).
thf(f9776,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_3
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f9771]) ).
thf(f9809,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f2690,f333]) ).
thf(f9812,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f9809]) ).
thf(f9819,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f162,f334]) ).
thf(f9825,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f9819]) ).
thf(f9828,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_14
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f9825,f827]) ).
thf(f9831,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_37
| ~ spl0_111 ),
inference(constrained_superposition,[],[f9828,f6449]) ).
thf(f9836,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_37
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f9831]) ).
thf(f9840,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_37
| ~ spl0_111 ),
inference(constrained_superposition,[],[f9836,f75]) ).
thf(f9844,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_37
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f9840]) ).
thf(f9848,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_37
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f9844,f27]) ).
thf(f9850,plain,
( $false
| ~ spl0_14
| ~ spl0_37
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f9848,f827]) ).
thf(f9851,plain,
( ~ spl0_14
| ~ spl0_37
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f9850]) ).
thf(f9853,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f159,f30]) ).
thf(f9854,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f9853]) ).
thf(f9857,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f26,f169]) ).
thf(f9858,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f9857]) ).
thf(f9884,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f26,f9766]) ).
thf(f9885,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f9884]) ).
thf(f9889,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X2 )
| ( $true
!= ( r @ X2 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f9885,f9767]) ).
thf(f9891,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( z = X2 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f9889]) ).
thf(f9918,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_7
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f9683,f93]) ).
thf(f9919,plain,
( spl0_44
| ~ spl0_7
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f9918,f4119,f92,f2164]) ).
thf(f9934,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_145 ),
inference(constrained_superposition,[],[f7529,f334]) ).
thf(f9939,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f9934]) ).
thf(f9940,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_37
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f9939,f827]) ).
thf(f9944,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_37
| ~ spl0_145 ),
inference(constrained_superposition,[],[f9940,f36]) ).
thf(f9947,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_37
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f9944]) ).
thf(f9951,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_111
| ~ spl0_119 ),
inference(constrained_superposition,[],[f6575,f6449]) ).
thf(f9954,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_111
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f9951]) ).
thf(f9959,plain,
( spl0_160
| ~ spl0_111
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f9954,f6574,f6448,f7840]) ).
thf(f9975,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_45
| ~ spl0_146 ),
inference(constrained_superposition,[],[f9812,f7543]) ).
thf(f9980,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_45
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f9975]) ).
thf(f10017,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_13 ),
inference(constrained_superposition,[],[f9891,f9854]) ).
thf(f10020,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( z
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f10017]) ).
thf(f10023,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f10020,f27]) ).
thf(f10027,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_108 ),
inference(constrained_superposition,[],[f10023,f6439]) ).
thf(f10028,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_157 ),
inference(constrained_superposition,[],[f10023,f7829]) ).
thf(f10030,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f10027]) ).
thf(f10032,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f10028]) ).
thf(f10033,plain,
( spl0_129
| ~ spl0_1
| ~ spl0_13
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f10030,f6438,f158,f45,f6800]) ).
thf(f10034,plain,
( spl0_129
| ~ spl0_1
| ~ spl0_13
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f10032,f7828,f158,f45,f6800]) ).
thf(f10035,plain,
( spl0_176
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f9776,f92,f58,f9668]) ).
thf(f10047,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_8
| ~ spl0_154 ),
inference(constrained_superposition,[],[f124,f7817]) ).
thf(f10049,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_8
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f10047]) ).
thf(f10052,plain,
( spl0_129
| ~ spl0_8
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f10049,f7816,f123,f6800]) ).
thf(f10053,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_13
| ~ spl0_16 ),
inference(constrained_superposition,[],[f9858,f9854]) ).
thf(f10057,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_13
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f10053]) ).
thf(f10082,definition,
( spl0_180
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
thf(f10083,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f10082]) ).
thf(f10085,definition,
( spl0_181
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
thf(f10086,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f10085]) ).
thf(f10088,plain,
( spl0_181
| ~ spl0_32
| ~ spl0_37
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f9947,f7528,f826,f680,f10085]) ).
thf(f10091,definition,
( spl0_182
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
thf(f10092,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_182 ),
inference(avatar_component_clause,[],[f10091]) ).
thf(f10095,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f26,f918]) ).
thf(f10096,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f10095]) ).
thf(f10102,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_13
| ~ spl0_16
| ~ spl0_181 ),
inference(constrained_superposition,[],[f10057,f10086]) ).
thf(f10103,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f26,f10086]) ).
thf(f10104,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_13
| ~ spl0_16
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f10102]) ).
thf(f10105,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f10103]) ).
thf(f10106,plain,
( spl0_122
| spl0_112
| ~ spl0_13
| ~ spl0_16
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f10104,f10085,f168,f158,f6472,f6600]) ).
thf(f10110,plain,
( spl0_166
| ~ spl0_165
| ~ spl0_45
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f9980,f7542,f2689,f8085,f8212]) ).
thf(f10126,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_182 ),
inference(constrained_superposition,[],[f10092,f333]) ).
thf(f10128,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_182 ),
inference(constrained_superposition,[],[f10092,f30]) ).
thf(f10129,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_182 ),
inference(trivial_inequality_removal,[],[f10128]) ).
thf(f10131,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_182 ),
inference(trivial_inequality_removal,[],[f10126]) ).
thf(f10159,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_39
| ~ spl0_108 ),
inference(constrained_superposition,[],[f10096,f6439]) ).
thf(f10165,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_39
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f10159]) ).
thf(f10167,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_39
| ~ spl0_108
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f10165,f10086]) ).
thf(f10168,plain,
( spl0_112
| ~ spl0_39
| ~ spl0_108
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f10167,f10085,f6438,f917,f6472]) ).
thf(f10171,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_109
| ~ spl0_145 ),
inference(constrained_superposition,[],[f9940,f6442]) ).
thf(f10172,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_109
| ~ spl0_145 ),
inference(constrained_superposition,[],[f7529,f6442]) ).
thf(f10178,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_109
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f10172]) ).
thf(f10181,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_37
| ~ spl0_109
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f10171]) ).
thf(f10187,plain,
( spl0_167
| ~ spl0_109
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f10178,f7528,f6441,f8218]) ).
thf(f10191,definition,
( spl0_183
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f10192,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_183 ),
inference(avatar_component_clause,[],[f10191]) ).
thf(f10194,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_183 ),
inference(constrained_superposition,[],[f10192,f334]) ).
thf(f10195,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_183 ),
inference(constrained_superposition,[],[f10192,f75]) ).
thf(f10197,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_183 ),
inference(trivial_inequality_removal,[],[f10194]) ).
thf(f10198,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_183 ),
inference(trivial_inequality_removal,[],[f10195]) ).
thf(f10200,plain,
( $false
| ~ spl0_37
| spl0_183 ),
inference(forward_subsumption_resolution,[],[f10197,f827]) ).
thf(f10201,plain,
( ~ spl0_37
| spl0_183 ),
inference(avatar_contradiction_clause,[],[f10200]) ).
thf(f10202,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_37
| spl0_183 ),
inference(forward_subsumption_resolution,[],[f10198,f827]) ).
thf(f10204,plain,
( $false
| ~ spl0_37
| spl0_183 ),
inference(forward_subsumption_resolution,[],[f10202,f27]) ).
thf(f10205,plain,
( ~ spl0_37
| spl0_183 ),
inference(avatar_contradiction_clause,[],[f10204]) ).
thf(f10212,plain,
( ~ spl0_183
| ~ spl0_37
| ~ spl0_109
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f10181,f7528,f6441,f826,f10191]) ).
thf(f10214,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_158 ),
inference(constrained_superposition,[],[f124,f7834]) ).
thf(f10217,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f10214]) ).
thf(f10219,plain,
( spl0_122
| ~ spl0_8
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f10217,f7833,f123,f6600]) ).
thf(f10244,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f26,f6446]) ).
thf(f10245,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f10244]) ).
thf(f10265,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_113 ),
inference(constrained_superposition,[],[f59,f6476]) ).
thf(f10271,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f10265]) ).
thf(f10273,plain,
( spl0_177
| ~ spl0_3
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f10271,f6475,f58,f9715]) ).
thf(f10279,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_110
| ~ spl0_181 ),
inference(constrained_superposition,[],[f10105,f6446]) ).
thf(f10280,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_110
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f10279]) ).
thf(f10286,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_177 ),
inference(avatar_component_clause,[],[f9715]) ).
thf(f10287,plain,
( spl0_127
| ~ spl0_177
| ~ spl0_110
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f10280,f10085,f6445,f9715,f6777]) ).
thf(f10291,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_135 ),
inference(constrained_superposition,[],[f59,f7160]) ).
thf(f10292,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_37
| ~ spl0_135
| ~ spl0_145 ),
inference(constrained_superposition,[],[f9940,f7160]) ).
thf(f10304,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f10291]) ).
thf(f10305,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_37
| ~ spl0_135
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f10292]) ).
thf(f10308,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f10304,f87]) ).
thf(f10309,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_135 ),
inference(avatar_contradiction_clause,[],[f10308]) ).
thf(f10310,plain,
( $false
| ~ spl0_37
| ~ spl0_61
| ~ spl0_135
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f10305,f4113]) ).
thf(f10311,plain,
( ~ spl0_37
| ~ spl0_61
| ~ spl0_135
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f10310]) ).
thf(f10314,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f159,f30]) ).
thf(f10316,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f10314]) ).
thf(f10420,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_128 ),
inference(constrained_superposition,[],[f6783,f37]) ).
thf(f10421,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_128 ),
inference(trivial_inequality_removal,[],[f10420]) ).
thf(f10422,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_13
| spl0_128 ),
inference(forward_subsumption_resolution,[],[f10421,f159]) ).
thf(f10423,plain,
( $false
| ~ spl0_13
| spl0_128 ),
inference(forward_subsumption_resolution,[],[f10422,f27]) ).
thf(f10424,plain,
( ~ spl0_13
| spl0_128 ),
inference(avatar_contradiction_clause,[],[f10423]) ).
thf(f10430,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f26,f10316]) ).
thf(f10432,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f10430]) ).
thf(f10455,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_61 ),
inference(constrained_superposition,[],[f147,f4113]) ).
thf(f10456,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f147,f36]) ).
thf(f10459,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f10456]) ).
thf(f10461,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f10455]) ).
thf(f10462,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_5
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f10459,f87]) ).
thf(f10464,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_5
| ~ spl0_12
| ~ spl0_146 ),
inference(constrained_superposition,[],[f10462,f7543]) ).
thf(f10466,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_5
| ~ spl0_12
| ~ spl0_61 ),
inference(constrained_superposition,[],[f10462,f4113]) ).
thf(f10468,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_5
| ~ spl0_12
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f10464]) ).
thf(f10471,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_5
| ~ spl0_12
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f10466]) ).
thf(f10473,plain,
( ~ spl0_120
| spl0_5
| ~ spl0_12
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f10468,f7542,f146,f86,f6578]) ).
thf(f10474,plain,
( ~ spl0_48
| spl0_5
| ~ spl0_12
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f10471,f4112,f146,f86,f2802]) ).
thf(f10475,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_48 ),
inference(constrained_superposition,[],[f2803,f36]) ).
thf(f10477,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_48 ),
inference(trivial_inequality_removal,[],[f10475]) ).
thf(f10491,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_61 ),
inference(constrained_superposition,[],[f10461,f35]) ).
thf(f10495,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_12
| ~ spl0_61 ),
inference(constrained_superposition,[],[f10461,f30]) ).
thf(f10496,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f10495]) ).
thf(f10498,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_12
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f10491]) ).
thf(f10501,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_12
| ~ spl0_37
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f10496,f827]) ).
thf(f10503,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_37
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f10498,f827]) ).
thf(f10507,plain,
( ~ spl0_22
| ~ spl0_12
| ~ spl0_37
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f10503,f4112,f826,f146,f367]) ).
thf(f10508,plain,
( spl0_157
| spl0_182 ),
inference(avatar_split_clause,[],[f10131,f10091,f7828]) ).
thf(f10510,definition,
( spl0_184
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
thf(f10511,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f10510]) ).
thf(f10512,plain,
( spl0_157
| spl0_184
| spl0_182 ),
inference(avatar_split_clause,[],[f10129,f10091,f10510,f7828]) ).
thf(f10514,definition,
( spl0_185
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
thf(f10515,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f10514]) ).
thf(f10540,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_120 ),
inference(constrained_superposition,[],[f6579,f36]) ).
thf(f10542,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_120 ),
inference(trivial_inequality_removal,[],[f10540]) ).
thf(f10549,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_37
| ~ spl0_61
| ~ spl0_146 ),
inference(constrained_superposition,[],[f10501,f7543]) ).
thf(f10550,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_7
| ~ spl0_12
| ~ spl0_37
| ~ spl0_61 ),
inference(constrained_superposition,[],[f10501,f93]) ).
thf(f10554,plain,
( ! [X0: $i] :
( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_12
| ~ spl0_37
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f10550]) ).
thf(f10555,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_37
| ~ spl0_61
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f10549]) ).
thf(f10556,plain,
( spl0_151
| ~ spl0_12
| ~ spl0_37
| ~ spl0_61
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f10555,f7542,f4112,f826,f146,f7694]) ).
thf(f10573,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_12
| ~ spl0_37
| ~ spl0_61 ),
inference(constrained_superposition,[],[f333,f10554]) ).
thf(f10664,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_12
| ~ spl0_37
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f10573,f31]) ).
thf(f10674,plain,
( $false
| ~ spl0_7
| ~ spl0_12
| ~ spl0_37
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f10664,f28]) ).
thf(f10675,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_37
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f10674]) ).
thf(f10684,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f334,f7695]) ).
thf(f10731,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f10684,f28]) ).
thf(f10739,plain,
( $false
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f10731,f31]) ).
thf(f10740,plain,
~ spl0_151,
inference(avatar_contradiction_clause,[],[f10739]) ).
thf(f10774,plain,
( spl0_181
| spl0_120 ),
inference(avatar_split_clause,[],[f10542,f6578,f10085]) ).
thf(f10798,definition,
( spl0_186
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f10799,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_186 ),
inference(avatar_component_clause,[],[f10798]) ).
thf(f10801,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_186 ),
inference(constrained_superposition,[],[f10799,f333]) ).
thf(f10806,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_186 ),
inference(trivial_inequality_removal,[],[f10801]) ).
thf(f10827,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_13
| ~ spl0_16 ),
inference(constrained_superposition,[],[f10432,f169]) ).
thf(f10831,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_13
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f10827]) ).
thf(f10834,plain,
( spl0_8
| spl0_9
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f10831,f168,f158,f126,f123]) ).
thf(f10852,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_156 ),
inference(constrained_superposition,[],[f7825,f35]) ).
thf(f10855,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_156 ),
inference(trivial_inequality_removal,[],[f10852]) ).
thf(f10857,plain,
( spl0_158
| spl0_156 ),
inference(avatar_split_clause,[],[f10855,f7824,f7833]) ).
thf(f10887,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_167 ),
inference(constrained_superposition,[],[f8219,f93]) ).
thf(f10893,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f10887]) ).
thf(f10898,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_7
| ~ spl0_167 ),
inference(constrained_superposition,[],[f10893,f30]) ).
thf(f10899,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f10898]) ).
thf(f10900,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f6478]) ).
thf(f10901,plain,
( spl0_122
| spl0_114
| ~ spl0_7
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f10899,f8218,f92,f6478,f6600]) ).
thf(f10912,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_118 ),
inference(constrained_superposition,[],[f6572,f35]) ).
thf(f10915,plain,
( ( $true != $true )
| ~ spl0_7
| ~ spl0_118 ),
inference(constrained_superposition,[],[f6572,f93]) ).
thf(f10917,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f10912]) ).
thf(f10918,plain,
( $false
| ~ spl0_7
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f10915]) ).
thf(f10919,plain,
( ~ spl0_7
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[],[f10918]) ).
thf(f10923,plain,
( spl0_158
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f10917,f6571,f7833]) ).
thf(f10929,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f90,f37]) ).
thf(f10930,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f10929]) ).
thf(f10941,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_158 ),
inference(constrained_superposition,[],[f26,f7834]) ).
thf(f10943,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f10941]) ).
thf(f10944,plain,
( $false
| ~ spl0_6
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f10900,f90]) ).
thf(f10945,plain,
( ~ spl0_6
| ~ spl0_114 ),
inference(avatar_contradiction_clause,[],[f10944]) ).
thf(f10957,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_45
| ~ spl0_113 ),
inference(constrained_superposition,[],[f9812,f6476]) ).
thf(f10960,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_45
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f10957]) ).
thf(f10963,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_45
| ~ spl0_113
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f10960,f8086]) ).
thf(f10965,plain,
( $false
| ~ spl0_45
| ~ spl0_113
| ~ spl0_127
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f10963,f6778]) ).
thf(f10966,plain,
( ~ spl0_45
| ~ spl0_113
| ~ spl0_127
| ~ spl0_165 ),
inference(avatar_contradiction_clause,[],[f10965]) ).
thf(f10967,plain,
( $false
| ~ spl0_176
| spl0_177 ),
inference(forward_subsumption_resolution,[],[f10286,f9669]) ).
thf(f10968,plain,
( ~ spl0_176
| spl0_177 ),
inference(avatar_contradiction_clause,[],[f10967]) ).
thf(f10977,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f59,f334]) ).
thf(f10985,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f10977]) ).
thf(f10994,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f26,f9716]) ).
thf(f10995,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f10994]) ).
thf(f10998,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_63 ),
inference(constrained_superposition,[],[f4120,f333]) ).
thf(f11005,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f10998]) ).
thf(f11011,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_29 ),
inference(constrained_superposition,[],[f664,f10930]) ).
thf(f11012,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_6
| ~ spl0_160 ),
inference(constrained_superposition,[],[f7841,f10930]) ).
thf(f11013,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ X3 @ X2 )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f29,f10930]) ).
thf(f11017,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_6
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f11011]) ).
thf(f11019,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f11013]) ).
thf(f11021,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_6
| ~ spl0_160 ),
inference(trivial_inequality_removal,[],[f11012]) ).
thf(f11025,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_6
| ~ spl0_29
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f11017,f8086]) ).
thf(f11026,plain,
( spl0_11
| spl0_12
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f11019,f89,f146,f143]) ).
thf(f11027,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_6
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f11021,f27]) ).
thf(f11030,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_6
| ~ spl0_29
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f11025,f27]) ).
thf(f11032,plain,
( spl0_44
| ~ spl0_6
| ~ spl0_29
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f11030,f8085,f663,f89,f2164]) ).
thf(f11034,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_160 ),
inference(constrained_superposition,[],[f11027,f30]) ).
thf(f11035,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_160 ),
inference(trivial_inequality_removal,[],[f11034]) ).
thf(f11036,plain,
( spl0_122
| spl0_125
| ~ spl0_6
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f11035,f7840,f89,f6611,f6600]) ).
thf(f11085,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_110
| ~ spl0_158 ),
inference(constrained_superposition,[],[f10943,f6446]) ).
thf(f11086,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_110
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f11085]) ).
thf(f11092,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_110
| ~ spl0_158
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[],[f11086,f9716]) ).
thf(f11093,plain,
( spl0_127
| ~ spl0_110
| ~ spl0_158
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f11092,f9715,f7833,f6445,f6777]) ).
thf(f11152,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_108
| ~ spl0_177 ),
inference(constrained_superposition,[],[f10995,f6439]) ).
thf(f11156,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_108
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f11152]) ).
thf(f11157,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_181 ),
inference(avatar_component_clause,[],[f10085]) ).
thf(f11158,plain,
( spl0_112
| ~ spl0_181
| ~ spl0_108
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f11156,f9715,f6438,f10085,f6472]) ).
thf(f11195,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f49,f334]) ).
thf(f11203,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f11195]) ).
thf(f11211,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f11203,f827]) ).
thf(f11213,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_158 ),
inference(constrained_superposition,[],[f26,f7834]) ).
thf(f11215,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f11213]) ).
thf(f11219,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_158
| ~ spl0_166 ),
inference(constrained_superposition,[],[f11215,f8213]) ).
thf(f11220,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_44
| ~ spl0_158 ),
inference(constrained_superposition,[],[f11215,f2165]) ).
thf(f11223,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_158
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f11219]) ).
thf(f11224,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_44
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f11220]) ).
thf(f11240,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_37 ),
inference(constrained_superposition,[],[f11211,f10930]) ).
thf(f11246,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f11240]) ).
thf(f11248,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_37
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f11246,f8086]) ).
thf(f11249,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_37
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f11248,f27]) ).
thf(f11250,plain,
( spl0_39
| ~ spl0_2
| ~ spl0_6
| ~ spl0_37
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f11249,f8085,f826,f89,f48,f917]) ).
thf(f11252,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_39
| ~ spl0_110 ),
inference(constrained_superposition,[],[f10245,f918]) ).
thf(f11257,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_39
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f11252]) ).
thf(f11259,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| ~ spl0_39
| ~ spl0_110
| ~ spl0_158 ),
inference(forward_subsumption_resolution,[],[f11257,f7834]) ).
thf(f11260,plain,
( spl0_9
| ~ spl0_39
| ~ spl0_110
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f11259,f7833,f6445,f917,f126]) ).
thf(f11261,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f46,f36]) ).
thf(f11263,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f11261]) ).
thf(f11265,plain,
( ( $true != $true )
| ~ spl0_1
| spl0_181 ),
inference(constrained_superposition,[],[f11157,f11263]) ).
thf(f11266,plain,
( ( $true != $true )
| ~ spl0_1
| spl0_177 ),
inference(constrained_superposition,[],[f10286,f11263]) ).
thf(f11269,plain,
( $false
| ~ spl0_1
| spl0_177 ),
inference(trivial_inequality_removal,[],[f11266]) ).
thf(f11270,plain,
( ~ spl0_1
| spl0_177 ),
inference(avatar_contradiction_clause,[],[f11269]) ).
thf(f11271,plain,
( $false
| ~ spl0_1
| spl0_181 ),
inference(trivial_inequality_removal,[],[f11265]) ).
thf(f11272,plain,
( ~ spl0_1
| spl0_181 ),
inference(avatar_contradiction_clause,[],[f11271]) ).
thf(f11295,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_45
| ~ spl0_111 ),
inference(constrained_superposition,[],[f9812,f6449]) ).
thf(f11296,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_111 ),
inference(constrained_superposition,[],[f59,f6449]) ).
thf(f11306,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f11296]) ).
thf(f11308,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_45
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f11295]) ).
thf(f11312,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_20
| ~ spl0_158
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f11223,f361]) ).
thf(f11313,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_20
| ~ spl0_44
| ~ spl0_158 ),
inference(forward_subsumption_resolution,[],[f11224,f361]) ).
thf(f11314,plain,
( spl0_181
| ~ spl0_3
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f11306,f6448,f58,f10085]) ).
thf(f11315,plain,
( spl0_37
| ~ spl0_20
| ~ spl0_158
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f11312,f8212,f7833,f360,f826]) ).
thf(f11316,plain,
( spl0_37
| ~ spl0_20
| ~ spl0_44
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f11313,f7833,f2164,f360,f826]) ).
thf(f11319,definition,
( spl0_188
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
thf(f11320,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f11319]) ).
thf(f11324,plain,
( ~ spl0_182
| spl0_166
| ~ spl0_45
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f11308,f6448,f2689,f8212,f10091]) ).
thf(f11325,plain,
( spl0_166
| spl0_186 ),
inference(avatar_split_clause,[],[f10806,f10798,f8212]) ).
thf(f11326,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f46,f36]) ).
thf(f11329,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f11326]) ).
thf(f11330,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f26,f11329]) ).
thf(f11331,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f11330]) ).
thf(f11353,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_45
| ~ spl0_109 ),
inference(constrained_superposition,[],[f9812,f6442]) ).
thf(f11358,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_45
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f11353]) ).
thf(f11367,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_109
| ~ spl0_188 ),
inference(constrained_superposition,[],[f11320,f6442]) ).
thf(f11368,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_188 ),
inference(constrained_superposition,[],[f11320,f334]) ).
thf(f11372,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f11368]) ).
thf(f11376,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_109
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f11367]) ).
thf(f11379,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_165
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f11372,f8086]) ).
thf(f11380,plain,
( spl0_173
| ~ spl0_165
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f11379,f11319,f8085,f9301]) ).
thf(f11386,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_109
| ~ spl0_188 ),
inference(constrained_superposition,[],[f11376,f30]) ).
thf(f11388,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_109
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f11386]) ).
thf(f11391,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_109
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f11388,f90]) ).
thf(f11392,plain,
( spl0_129
| ~ spl0_6
| ~ spl0_109
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f11391,f11319,f6441,f89,f6800]) ).
thf(f11401,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_157 ),
inference(constrained_superposition,[],[f11331,f7829]) ).
thf(f11402,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_166 ),
inference(constrained_superposition,[],[f11331,f8213]) ).
thf(f11403,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_1
| ~ spl0_173 ),
inference(constrained_superposition,[],[f11331,f9302]) ).
thf(f11405,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_1
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f11402]) ).
thf(f11407,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f11403]) ).
thf(f11410,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f11401]) ).
thf(f11412,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_1
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[],[f11407,f11329]) ).
thf(f11414,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_1
| ~ spl0_20
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f11410,f361]) ).
thf(f11416,plain,
( spl0_112
| ~ spl0_1
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f11412,f9301,f45,f6472]) ).
thf(f11417,plain,
( spl0_37
| ~ spl0_1
| ~ spl0_20
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f11414,f7828,f360,f45,f826]) ).
thf(f11418,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_1
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f11405,f11329]) ).
thf(f11419,plain,
( spl0_157
| ~ spl0_186
| ~ spl0_45
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f11358,f6441,f2689,f10798,f7828]) ).
thf(f11420,plain,
( spl0_37
| ~ spl0_1
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f11418,f8212,f45,f826]) ).
thf(f11421,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f594,f35]) ).
thf(f11424,plain,
( ( $true != $true )
| ~ spl0_27
| ~ spl0_61 ),
inference(constrained_superposition,[],[f594,f4113]) ).
thf(f11427,plain,
( $false
| ~ spl0_27
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f11424]) ).
thf(f11428,plain,
( ~ spl0_27
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f11427]) ).
thf(f11431,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f11421]) ).
thf(f11432,plain,
( spl0_28
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f11431,f593,f660]) ).
thf(f11435,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f26,f661]) ).
thf(f11437,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f11435]) ).
thf(f11479,plain,
( $false
| ~ spl0_112
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f6612,f6473]) ).
thf(f11480,plain,
( ~ spl0_112
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f11479]) ).
thf(f11482,plain,
( spl0_19
| spl0_20
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f10985,f58,f360,f357]) ).
thf(f11483,plain,
( spl0_20
| spl0_48 ),
inference(avatar_split_clause,[],[f10477,f2802,f360]) ).
thf(f11495,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_146 ),
inference(constrained_superposition,[],[f59,f7543]) ).
thf(f11496,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_146 ),
inference(constrained_superposition,[],[f147,f7543]) ).
thf(f11500,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f11496]) ).
thf(f11502,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f11495]) ).
thf(f11543,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_146 ),
inference(constrained_superposition,[],[f11500,f333]) ).
thf(f11544,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_111
| ~ spl0_146 ),
inference(constrained_superposition,[],[f11500,f6449]) ).
thf(f11548,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_111
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f11544]) ).
thf(f11552,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f11543]) ).
thf(f11565,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_111
| ~ spl0_146 ),
inference(constrained_superposition,[],[f11548,f30]) ).
thf(f11566,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12
| ~ spl0_111
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f11565]) ).
thf(f11567,plain,
( spl0_129
| spl0_131
| ~ spl0_12
| ~ spl0_111
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f11566,f7542,f6448,f146,f6809,f6800]) ).
thf(f11609,plain,
( spl0_181
| ~ spl0_3
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f11502,f7542,f58,f10085]) ).
thf(f11610,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f26,f10086]) ).
thf(f11611,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f11610]) ).
thf(f11639,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_155 ),
inference(constrained_superposition,[],[f7820,f10930]) ).
thf(f11645,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_6
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f11639]) ).
thf(f11648,definition,
( spl0_189
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
thf(f11649,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_189 ),
inference(avatar_component_clause,[],[f11648]) ).
thf(f11651,definition,
( spl0_190
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f11652,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f11651]) ).
thf(f11654,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_6
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f11645,f27]) ).
thf(f11655,plain,
( $false
| ~ spl0_6
| ~ spl0_135
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f11654,f7160]) ).
thf(f11656,plain,
( ~ spl0_6
| ~ spl0_135
| ~ spl0_155 ),
inference(avatar_contradiction_clause,[],[f11655]) ).
thf(f11658,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_154 ),
inference(constrained_superposition,[],[f26,f7817]) ).
thf(f11660,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f11658]) ).
thf(f11661,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_28 ),
inference(constrained_superposition,[],[f11437,f358]) ).
thf(f11663,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f26,f358]) ).
thf(f11664,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_19
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f11661]) ).
thf(f11666,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f11663]) ).
thf(f11667,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_19
| ~ spl0_28
| ~ spl0_177 ),
inference(constrained_superposition,[],[f11664,f9716]) ).
thf(f11669,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_19
| ~ spl0_28
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f11667]) ).
thf(f11671,plain,
( spl0_127
| ~ spl0_19
| ~ spl0_28
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f11669,f9715,f660,f357,f6777]) ).
thf(f11676,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_108
| ~ spl0_154 ),
inference(constrained_superposition,[],[f11660,f6439]) ).
thf(f11677,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_154
| ~ spl0_157 ),
inference(constrained_superposition,[],[f11660,f7829]) ).
thf(f11679,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_154
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f11677]) ).
thf(f11682,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_108
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f11676]) ).
thf(f11684,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_20 ),
inference(avatar_component_clause,[],[f360]) ).
thf(f11685,plain,
( spl0_37
| ~ spl0_20
| ~ spl0_154
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f11679,f7828,f7816,f360,f826]) ).
thf(f11686,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_19
| ~ spl0_154 ),
inference(constrained_superposition,[],[f11666,f7817]) ).
thf(f11693,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_19
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f11686]) ).
thf(f11700,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_61 ),
inference(avatar_component_clause,[],[f4112]) ).
thf(f11701,plain,
( ~ spl0_61
| spl0_166
| ~ spl0_12
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f11552,f7542,f146,f8212,f4112]) ).
thf(f11702,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_108
| ~ spl0_154
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f11682,f10086]) ).
thf(f11703,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_28 ),
inference(avatar_component_clause,[],[f660]) ).
thf(f11704,plain,
( spl0_9
| ~ spl0_28
| ~ spl0_19
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f11693,f7816,f357,f660,f126]) ).
thf(f11706,plain,
( spl0_112
| ~ spl0_108
| ~ spl0_154
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f11702,f10085,f7816,f6438,f6472]) ).
thf(f11708,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_19
| ~ spl0_158 ),
inference(constrained_superposition,[],[f11666,f7834]) ).
thf(f11713,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_19
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f11708]) ).
thf(f11733,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_109
| ~ spl0_175 ),
inference(constrained_superposition,[],[f9617,f6442]) ).
thf(f11737,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_109
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f11733]) ).
thf(f11784,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_45 ),
inference(constrained_superposition,[],[f2690,f10930]) ).
thf(f11791,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_6
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f11784]) ).
thf(f11793,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_6
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f11791,f27]) ).
thf(f11811,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_6
| ~ spl0_45 ),
inference(constrained_superposition,[],[f11793,f36]) ).
thf(f11816,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_6
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f11811]) ).
thf(f11818,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_6
| spl0_20
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f11816,f11684]) ).
thf(f11819,plain,
( ~ spl0_38
| ~ spl0_6
| spl0_20
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f11818,f2689,f360,f89,f914]) ).
thf(f11824,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_135
| ~ spl0_145 ),
inference(constrained_superposition,[],[f7529,f7160]) ).
thf(f11825,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_145 ),
inference(constrained_superposition,[],[f7529,f10930]) ).
thf(f11829,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_6
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f11825]) ).
thf(f11832,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_135
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f11824]) ).
thf(f11834,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_6
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f11829,f27]) ).
thf(f11835,plain,
( spl0_188
| ~ spl0_135
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f11832,f7528,f7159,f11319]) ).
thf(f11836,plain,
( spl0_188
| ~ spl0_6
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f11834,f7528,f89,f11319]) ).
thf(f11837,plain,
( spl0_9
| ~ spl0_28
| ~ spl0_19
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f11713,f7833,f357,f660,f126]) ).
thf(f11838,plain,
( $false
| ~ spl0_109
| ~ spl0_113
| ~ spl0_175 ),
inference(forward_subsumption_resolution,[],[f6476,f11737]) ).
thf(f11839,plain,
( ~ spl0_109
| ~ spl0_113
| ~ spl0_175 ),
inference(avatar_contradiction_clause,[],[f11838]) ).
thf(f11845,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f26,f661]) ).
thf(f11847,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f11845]) ).
thf(f11857,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_108 ),
inference(constrained_superposition,[],[f26,f6439]) ).
thf(f11858,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f11857]) ).
thf(f11861,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f83,f6446]) ).
thf(f11864,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f11861]) ).
thf(f11880,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f9562,f334]) ).
thf(f11885,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f11880]) ).
thf(f11903,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f26,f8213]) ).
thf(f11905,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f11903]) ).
thf(f11922,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_166
| ~ spl0_181 ),
inference(constrained_superposition,[],[f11611,f8213]) ).
thf(f11924,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_166
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f11922]) ).
thf(f11928,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_20
| ~ spl0_166
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f11924,f361]) ).
thf(f11929,plain,
( spl0_37
| ~ spl0_20
| ~ spl0_166
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f11928,f10085,f8212,f360,f826]) ).
thf(f11932,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_125
| ~ spl0_153 ),
inference(constrained_superposition,[],[f7726,f6612]) ).
thf(f11937,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_125
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f11932]) ).
thf(f11941,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_125
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f11937,f27]) ).
thf(f11944,plain,
( spl0_151
| ~ spl0_125
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f11941,f7725,f6611,f7694]) ).
thf(f11956,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_110
| ~ spl0_166 ),
inference(constrained_superposition,[],[f11905,f6446]) ).
thf(f11959,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_110
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f11956]) ).
thf(f11965,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_190 ),
inference(avatar_component_clause,[],[f11651]) ).
thf(f11966,plain,
( spl0_127
| ~ spl0_190
| ~ spl0_110
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f11959,f8212,f6445,f11651,f6777]) ).
thf(f11969,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f10191]) ).
thf(f11984,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_45 ),
inference(constrained_superposition,[],[f2690,f10930]) ).
thf(f11989,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( z
= ( s @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f11984]) ).
thf(f11992,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_6
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f11989,f27]) ).
thf(f11995,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_45 ),
inference(constrained_superposition,[],[f11992,f333]) ).
thf(f12004,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_6
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f11995]) ).
thf(f12006,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_45 ),
inference(constrained_superposition,[],[f12004,f10930]) ).
thf(f12009,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_6
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f12006]) ).
thf(f12011,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_6
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f12009,f27]) ).
thf(f12013,plain,
( spl0_44
| ~ spl0_6
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f12011,f2689,f89,f2164]) ).
thf(f12016,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_44 ),
inference(constrained_superposition,[],[f26,f2165]) ).
thf(f12017,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f12016]) ).
thf(f12024,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_44
| ~ spl0_108 ),
inference(constrained_superposition,[],[f12017,f6439]) ).
thf(f12029,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_44
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f12024]) ).
thf(f12036,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_173 ),
inference(avatar_component_clause,[],[f9301]) ).
thf(f12037,plain,
( spl0_112
| ~ spl0_173
| ~ spl0_44
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f12029,f6438,f2164,f9301,f6472]) ).
thf(f12038,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_173 ),
inference(constrained_superposition,[],[f12036,f37]) ).
thf(f12039,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_173 ),
inference(trivial_inequality_removal,[],[f12038]) ).
thf(f12040,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_23
| spl0_173 ),
inference(forward_subsumption_resolution,[],[f12039,f6225]) ).
thf(f12054,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_2
| spl0_23
| spl0_173 ),
inference(constrained_superposition,[],[f49,f12040]) ).
thf(f12067,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| spl0_23
| spl0_173 ),
inference(trivial_inequality_removal,[],[f12054]) ).
thf(f12070,definition,
( spl0_191
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
thf(f12071,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f12070]) ).
thf(f12074,definition,
( spl0_192
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f12075,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f12074]) ).
thf(f12076,plain,
( spl0_192
| spl0_158
| ~ spl0_2
| spl0_23
| spl0_173 ),
inference(avatar_split_clause,[],[f12067,f9301,f580,f48,f7833,f12074]) ).
thf(f12082,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_6
| ~ spl0_192 ),
inference(constrained_superposition,[],[f12075,f10930]) ).
thf(f12083,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f12075,f36]) ).
thf(f12087,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f12082]) ).
thf(f12088,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f12083]) ).
thf(f12093,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_165
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f12087,f8086]) ).
thf(f12094,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_181
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f12088,f11157]) ).
thf(f12095,plain,
( $false
| ~ spl0_6
| ~ spl0_165
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f12093,f27]) ).
thf(f12096,plain,
( ~ spl0_6
| ~ spl0_165
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f12095]) ).
thf(f12097,plain,
( ~ spl0_48
| spl0_181
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f12094,f12074,f10085,f2802]) ).
thf(f12103,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f6935,f333]) ).
thf(f12108,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f12103]) ).
thf(f12110,plain,
( spl0_157
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f12108,f6934,f7828]) ).
thf(f12120,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_158
| ~ spl0_166 ),
inference(constrained_superposition,[],[f11905,f7834]) ).
thf(f12123,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_158
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f12120]) ).
thf(f12126,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| ~ spl0_28
| ~ spl0_158
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f12123,f661]) ).
thf(f12127,plain,
( spl0_9
| ~ spl0_28
| ~ spl0_158
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f12126,f8212,f7833,f660,f126]) ).
thf(f12131,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_146 ),
inference(constrained_superposition,[],[f147,f7543]) ).
thf(f12136,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f12131]) ).
thf(f12143,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_173 ),
inference(constrained_superposition,[],[f26,f9302]) ).
thf(f12145,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f12143]) ).
thf(f12146,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_157 ),
inference(constrained_superposition,[],[f83,f7829]) ).
thf(f12147,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_157 ),
inference(constrained_superposition,[],[f26,f7829]) ).
thf(f12148,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f12146]) ).
thf(f12149,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f12147]) ).
thf(f12163,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f62,f30]) ).
thf(f12164,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f62,f35]) ).
thf(f12165,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f12164]) ).
thf(f12166,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f12163]) ).
thf(f12182,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_188 ),
inference(constrained_superposition,[],[f11320,f36]) ).
thf(f12186,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f12182]) ).
thf(f12218,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_28
| ~ spl0_173 ),
inference(constrained_superposition,[],[f11847,f9302]) ).
thf(f12220,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_28
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f12218]) ).
thf(f12226,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_28
| ~ spl0_173
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f12220,f10086]) ).
thf(f12227,plain,
( spl0_112
| ~ spl0_28
| ~ spl0_173
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f12226,f10085,f9301,f660,f6472]) ).
thf(f12228,plain,
( ~ spl0_35
| spl0_113
| spl0_37
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f12148,f7828,f826,f6475,f750]) ).
thf(f12237,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f26,f169]) ).
thf(f12238,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f12237]) ).
thf(f12312,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_110
| ~ spl0_173 ),
inference(constrained_superposition,[],[f12145,f6446]) ).
thf(f12316,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_110
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f12312]) ).
thf(f12320,plain,
( spl0_181
| ~ spl0_38
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f12186,f11319,f914,f10085]) ).
thf(f12321,plain,
( ~ spl0_190
| spl0_127
| ~ spl0_110
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f12316,f9301,f6445,f6777,f11651]) ).
thf(f12329,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_154 ),
inference(constrained_superposition,[],[f26,f7817]) ).
thf(f12330,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f12329]) ).
thf(f12336,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_12
| ~ spl0_113 ),
inference(constrained_superposition,[],[f147,f6476]) ).
thf(f12341,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f12336]) ).
thf(f12369,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_183 ),
inference(constrained_superposition,[],[f12165,f11969]) ).
thf(f12371,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_183 ),
inference(constrained_superposition,[],[f49,f11969]) ).
thf(f12374,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f12371]) ).
thf(f12376,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f12369]) ).
thf(f12379,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_4
| spl0_28
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f12376,f11703]) ).
thf(f12381,plain,
( ~ spl0_159
| ~ spl0_4
| spl0_28
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f12379,f10191,f660,f61,f7836]) ).
thf(f12397,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_113 ),
inference(constrained_superposition,[],[f12341,f333]) ).
thf(f12404,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_12
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f12397]) ).
thf(f12408,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f2690,f333]) ).
thf(f12414,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f12408]) ).
thf(f12462,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_131
| ~ spl0_154 ),
inference(constrained_superposition,[],[f12330,f6810]) ).
thf(f12469,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_131
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f12462]) ).
thf(f12472,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_5
| ~ spl0_131
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f12469,f140]) ).
thf(f12473,plain,
( spl0_6
| ~ spl0_5
| ~ spl0_131
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f12472,f7816,f6809,f86,f89]) ).
thf(f12487,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_63
| ~ spl0_113 ),
inference(constrained_superposition,[],[f11005,f6476]) ).
thf(f12491,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_63
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f12487]) ).
thf(f12501,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_145 ),
inference(constrained_superposition,[],[f7529,f334]) ).
thf(f12503,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_145 ),
inference(constrained_superposition,[],[f7529,f36]) ).
thf(f12504,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f12503]) ).
thf(f12505,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f12501]) ).
thf(f12512,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_108
| ~ spl0_157 ),
inference(constrained_superposition,[],[f12149,f6439]) ).
thf(f12515,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_108
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f12512]) ).
thf(f12519,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_108
| ~ spl0_157
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[],[f12515,f9302]) ).
thf(f12520,plain,
( spl0_112
| ~ spl0_108
| ~ spl0_157
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f12519,f9301,f7828,f6438,f6472]) ).
thf(f12521,plain,
( spl0_157
| ~ spl0_63
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f12491,f6475,f4119,f7828]) ).
thf(f12527,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f83,f661]) ).
thf(f12528,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f26,f661]) ).
thf(f12529,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f12528]) ).
thf(f12530,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f12527]) ).
thf(f12537,plain,
( ~ spl0_61
| spl0_157
| ~ spl0_12
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f12404,f6475,f146,f7828,f4112]) ).
thf(f12538,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_174
| spl0_190 ),
inference(forward_subsumption_resolution,[],[f11885,f11965]) ).
thf(f12540,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_16
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f12530,f169]) ).
thf(f12541,plain,
( ~ spl0_61
| ~ spl0_174
| spl0_190 ),
inference(avatar_split_clause,[],[f12538,f11651,f9561,f4112]) ).
thf(f12542,plain,
( spl0_9
| spl0_61
| ~ spl0_16
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f12540,f660,f168,f4112,f126]) ).
thf(f12543,plain,
( spl0_191
| spl0_154
| ~ spl0_2
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f12374,f10191,f48,f7816,f12070]) ).
thf(f12545,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f26,f751]) ).
thf(f12546,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f12545]) ).
thf(f12548,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_25 ),
inference(constrained_superposition,[],[f892,f73]) ).
thf(f12550,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_25 ),
inference(trivial_inequality_removal,[],[f12548]) ).
thf(f12552,plain,
( spl0_61
| spl0_25 ),
inference(avatar_split_clause,[],[f12550,f586,f4112]) ).
thf(f12555,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_61 ),
inference(constrained_superposition,[],[f147,f4113]) ).
thf(f12563,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f12555]) ).
thf(f12564,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f26,f9716]) ).
thf(f12565,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f12564]) ).
thf(f12567,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_61 ),
inference(constrained_superposition,[],[f12563,f334]) ).
thf(f12568,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_61
| ~ spl0_183 ),
inference(constrained_superposition,[],[f12563,f11969]) ).
thf(f12573,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_61
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f12568]) ).
thf(f12575,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_12
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f12567]) ).
thf(f12578,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12
| ~ spl0_61
| ~ spl0_183 ),
inference(constrained_superposition,[],[f12573,f30]) ).
thf(f12579,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_61
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f12578]) ).
thf(f12580,plain,
( spl0_131
| spl0_129
| ~ spl0_12
| ~ spl0_61
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f12579,f10191,f4112,f146,f6800,f6809]) ).
thf(f12582,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f26,f6810]) ).
thf(f12583,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f12582]) ).
thf(f12597,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f12071,f36]) ).
thf(f12602,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f12597]) ).
thf(f12603,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_28
| ~ spl0_35 ),
inference(constrained_superposition,[],[f12546,f661]) ).
thf(f12608,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_28
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f12603]) ).
thf(f12611,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| ~ spl0_16
| ~ spl0_28
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f12608,f169]) ).
thf(f12612,plain,
( spl0_9
| ~ spl0_16
| ~ spl0_28
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f12611,f750,f660,f168,f126]) ).
thf(f12616,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_131
| ~ spl0_177 ),
inference(constrained_superposition,[],[f12565,f6810]) ).
thf(f12617,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f12565,f73]) ).
thf(f12619,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_131
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f12616]) ).
thf(f12621,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f12617]) ).
thf(f12623,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_5
| ~ spl0_131
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[],[f12619,f140]) ).
thf(f12624,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_12
| ~ spl0_61
| ~ spl0_177
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f12621,f12573]) ).
thf(f12625,plain,
( spl0_6
| ~ spl0_5
| ~ spl0_131
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f12623,f9715,f6809,f86,f89]) ).
thf(f12626,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_5
| ~ spl0_12
| ~ spl0_61
| ~ spl0_177
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f12624,f140]) ).
thf(f12627,plain,
( spl0_6
| ~ spl0_5
| ~ spl0_12
| ~ spl0_61
| ~ spl0_177
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f12626,f10191,f9715,f4112,f146,f86,f89]) ).
thf(f12628,plain,
( spl0_177
| ~ spl0_48
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f12602,f12070,f2802,f9715]) ).
thf(f12630,definition,
( spl0_193
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
thf(f12631,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f12630]) ).
thf(f12642,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_108
| ~ spl0_131 ),
inference(constrained_superposition,[],[f12583,f6439]) ).
thf(f12645,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_108
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f12642]) ).
thf(f12652,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_108
| ~ spl0_131 ),
inference(constrained_superposition,[],[f11858,f6810]) ).
thf(f12653,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_108 ),
inference(constrained_superposition,[],[f11858,f73]) ).
thf(f12655,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f12653]) ).
thf(f12657,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_108
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f12652]) ).
thf(f12659,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_61
| ~ spl0_108
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f12655,f12573]) ).
thf(f12660,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_125 ),
inference(avatar_component_clause,[],[f6611]) ).
thf(f12661,plain,
( spl0_6
| ~ spl0_125
| ~ spl0_108
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f12657,f6809,f6438,f6611,f89]) ).
thf(f12662,plain,
( spl0_6
| ~ spl0_125
| ~ spl0_12
| ~ spl0_61
| ~ spl0_108
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f12659,f10191,f6438,f4112,f146,f6611,f89]) ).
thf(f12663,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_125 ),
inference(constrained_superposition,[],[f12660,f73]) ).
thf(f12666,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_125 ),
inference(trivial_inequality_removal,[],[f12663]) ).
thf(f12670,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_119 ),
inference(constrained_superposition,[],[f6575,f334]) ).
thf(f12674,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f12670]) ).
thf(f12678,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_119
| spl0_190 ),
inference(forward_subsumption_resolution,[],[f12674,f11965]) ).
thf(f12693,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_119
| spl0_190 ),
inference(constrained_superposition,[],[f12678,f36]) ).
thf(f12694,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_119
| spl0_190 ),
inference(trivial_inequality_removal,[],[f12693]) ).
thf(f12699,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_119
| spl0_177
| spl0_190 ),
inference(forward_subsumption_resolution,[],[f12694,f10286]) ).
thf(f12700,plain,
( ~ spl0_32
| ~ spl0_119
| spl0_177
| spl0_190 ),
inference(avatar_split_clause,[],[f12699,f11651,f9715,f6574,f680]) ).
thf(f12737,definition,
( spl0_194
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f12738,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f12737]) ).
thf(f12744,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f12738,f36]) ).
thf(f12747,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f12744]) ).
thf(f12750,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_177
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f12747,f10286]) ).
thf(f12751,plain,
( ~ spl0_32
| spl0_177
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f12750,f12737,f9715,f680]) ).
thf(f12757,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_90
| ~ spl0_173 ),
inference(constrained_superposition,[],[f12145,f4854]) ).
thf(f12762,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_90
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f12757]) ).
thf(f12768,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_28
| ~ spl0_90
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[],[f12762,f661]) ).
thf(f12769,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_158 ),
inference(avatar_component_clause,[],[f7833]) ).
thf(f12773,plain,
( spl0_122
| spl0_9
| ~ spl0_28
| ~ spl0_90
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f12768,f9301,f4853,f660,f126,f6600]) ).
thf(f12779,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_57
| spl0_190 ),
inference(constrained_superposition,[],[f11965,f3151]) ).
thf(f12786,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_57
| spl0_190 ),
inference(trivial_inequality_removal,[],[f12779]) ).
thf(f12791,plain,
( spl0_184
| ~ spl0_57
| spl0_190 ),
inference(avatar_split_clause,[],[f12786,f11651,f3150,f10510]) ).
thf(f12925,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_76
| ~ spl0_183 ),
inference(constrained_superposition,[],[f4276,f11969]) ).
thf(f12926,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_76
| ~ spl0_146 ),
inference(constrained_superposition,[],[f4276,f7543]) ).
thf(f12931,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_76
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f12925]) ).
thf(f12933,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_76
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f12926]) ).
thf(f12940,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_23
| ~ spl0_76
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f12931,f6225]) ).
thf(f12941,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_76
| spl0_114
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f12933,f6479]) ).
thf(f12945,plain,
( $false
| spl0_23
| spl0_35
| ~ spl0_76
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f12940,f828]) ).
thf(f12946,plain,
( spl0_23
| spl0_35
| ~ spl0_76
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[],[f12945]) ).
thf(f12947,plain,
( spl0_122
| ~ spl0_76
| spl0_114
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f12941,f7542,f6478,f4275,f6600]) ).
thf(f12963,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_108
| ~ spl0_162 ),
inference(constrained_superposition,[],[f7930,f6439]) ).
thf(f12966,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_108
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f12963]) ).
thf(f12968,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_108
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f12966,f27]) ).
thf(f12969,plain,
( spl0_184
| ~ spl0_108
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f12968,f7929,f6438,f10510]) ).
thf(f12980,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_103
| ~ spl0_108 ),
inference(constrained_superposition,[],[f5866,f6439]) ).
thf(f12981,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_103
| ~ spl0_110 ),
inference(constrained_superposition,[],[f5866,f6446]) ).
thf(f12983,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_103
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f12980]) ).
thf(f12985,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_103
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f12981]) ).
thf(f12987,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_103
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f12983,f32]) ).
thf(f12989,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_103
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f12985,f27]) ).
thf(f12991,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_103
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f12987,f27]) ).
thf(f12992,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_103
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f12989,f32]) ).
thf(f12994,plain,
( spl0_151
| spl0_122
| ~ spl0_103
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f12991,f6438,f5865,f6600,f7694]) ).
thf(f12995,plain,
( spl0_129
| spl0_122
| ~ spl0_103
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f12992,f6445,f5865,f6600,f6800]) ).
thf(f12998,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f12166,f30]) ).
thf(f13001,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f12998]) ).
thf(f13034,definition,
( spl0_196
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
thf(f13035,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f13034]) ).
thf(f13076,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_161
| ~ spl0_166 ),
inference(constrained_superposition,[],[f7866,f8213]) ).
thf(f13078,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_161
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f13076]) ).
thf(f13080,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_161
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f13078,f27]) ).
thf(f13082,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_108
| ~ spl0_161
| ~ spl0_166 ),
inference(constrained_superposition,[],[f6439,f13080]) ).
thf(f13138,plain,
( $false
| ~ spl0_108
| ~ spl0_161
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f13082,f31]) ).
thf(f13139,plain,
( ~ spl0_108
| ~ spl0_161
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f13138]) ).
thf(f13150,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_110
| ~ spl0_163 ),
inference(constrained_superposition,[],[f8055,f6446]) ).
thf(f13153,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_110
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f13150]) ).
thf(f13155,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_110
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f13153,f27]) ).
thf(f13156,plain,
( spl0_151
| ~ spl0_110
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f13155,f8054,f6445,f7694]) ).
thf(f13334,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f11648]) ).
thf(f13339,definition,
( spl0_198
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
thf(f13340,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f13339]) ).
thf(f13345,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ ( s @ z ) ) )
| spl0_151 ),
inference(avatar_component_clause,[],[f7694]) ).
thf(f13362,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_151 ),
inference(extensionality_resolution,[],[f41,f13345]) ).
thf(f13363,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_151 ),
inference(extensionality_resolution,[],[f75,f13345]) ).
thf(f13364,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_151 ),
inference(extensionality_resolution,[],[f75,f13345]) ).
thf(f13365,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_151 ),
inference(extensionality_resolution,[],[f37,f13345]) ).
thf(f13366,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_151 ),
inference(extensionality_resolution,[],[f37,f13345]) ).
thf(f13370,definition,
( spl0_201
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
thf(f13371,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f13370]) ).
thf(f13373,definition,
( spl0_202
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
thf(f13374,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f13373]) ).
thf(f13375,plain,
( spl0_201
| spl0_202
| spl0_151 ),
inference(avatar_split_clause,[],[f13363,f7694,f13373,f13370]) ).
thf(f13377,definition,
( spl0_203
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f13378,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f13377]) ).
thf(f13380,definition,
( spl0_204
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
thf(f13381,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f13380]) ).
thf(f13382,plain,
( spl0_203
| spl0_204
| spl0_151 ),
inference(avatar_split_clause,[],[f13364,f7694,f13380,f13377]) ).
thf(f13383,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f83,f13374]) ).
thf(f13386,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f13383]) ).
thf(f13388,definition,
( spl0_205
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
thf(f13389,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f13388]) ).
thf(f13390,plain,
( spl0_127
| ~ spl0_128
| spl0_205
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f13386,f13373,f13388,f6782,f6777]) ).
thf(f13391,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_45
| ~ spl0_201 ),
inference(constrained_superposition,[],[f12414,f13371]) ).
thf(f13400,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_201 ),
inference(constrained_superposition,[],[f13001,f13371]) ).
thf(f13407,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f13400]) ).
thf(f13410,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_45
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f13391]) ).
thf(f13416,definition,
( spl0_207
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f13417,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f13416]) ).
thf(f13420,definition,
( spl0_208
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
thf(f13421,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f13420]) ).
thf(f13424,definition,
( spl0_209
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f13425,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_209 ),
inference(avatar_component_clause,[],[f13424]) ).
thf(f13427,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f13407,f27]) ).
thf(f13429,definition,
( spl0_210
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
thf(f13430,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f13429]) ).
thf(f13433,definition,
( spl0_211
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).
thf(f13434,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f13433]) ).
thf(f13435,plain,
( spl0_211
| ~ spl0_182
| ~ spl0_45
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f13410,f13370,f2689,f10091,f13433]) ).
thf(f13436,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f13427,f27]) ).
thf(f13437,plain,
( spl0_207
| spl0_154
| ~ spl0_4
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f13436,f13370,f61,f7816,f13416]) ).
thf(f13438,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_115
| ~ spl0_173 ),
inference(constrained_superposition,[],[f6483,f9302]) ).
thf(f13441,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_115
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f13438]) ).
thf(f13443,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_115
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[],[f13441,f27]) ).
thf(f13444,plain,
( spl0_184
| ~ spl0_115
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f13443,f9301,f6482,f10510]) ).
thf(f13445,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_61
| ~ spl0_205 ),
inference(constrained_superposition,[],[f12575,f13389]) ).
thf(f13458,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_61
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f13445]) ).
thf(f13531,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_61
| ~ spl0_205 ),
inference(constrained_superposition,[],[f12529,f13458]) ).
thf(f13534,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_61
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f13531]) ).
thf(f13538,definition,
( spl0_213
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
thf(f13539,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f13538]) ).
thf(f13541,definition,
( spl0_214
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
thf(f13542,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_214 ),
inference(avatar_component_clause,[],[f13541]) ).
thf(f13543,plain,
( spl0_213
| ~ spl0_214
| ~ spl0_12
| ~ spl0_28
| ~ spl0_61
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f13534,f13388,f4112,f660,f146,f13541,f13538]) ).
thf(f13548,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_45
| ~ spl0_204 ),
inference(constrained_superposition,[],[f12414,f13381]) ).
thf(f13560,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_45
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f13548]) ).
thf(f13566,definition,
( spl0_215
<=> ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).
thf(f13567,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f13566]) ).
thf(f13570,plain,
( ~ spl0_209
| spl0_157
| ~ spl0_45
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f13560,f13380,f2689,f7828,f13424]) ).
thf(f13572,definition,
( spl0_216
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
thf(f13573,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_216 ),
inference(avatar_component_clause,[],[f13572]) ).
thf(f13577,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_108
| ~ spl0_203 ),
inference(constrained_superposition,[],[f11858,f13378]) ).
thf(f13581,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_108
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f13577]) ).
thf(f13586,definition,
( spl0_217
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).
thf(f13587,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_217 ),
inference(avatar_component_clause,[],[f13586]) ).
thf(f13588,plain,
( ~ spl0_217
| spl0_213
| ~ spl0_108
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f13581,f13377,f6438,f13538,f13586]) ).
thf(f13591,definition,
( spl0_218
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).
thf(f13592,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_218 ),
inference(avatar_component_clause,[],[f13591]) ).
thf(f13615,definition,
( spl0_219
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
thf(f13616,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f13615]) ).
thf(f13618,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_207 ),
inference(constrained_superposition,[],[f83,f13417]) ).
thf(f13619,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_207 ),
inference(constrained_superposition,[],[f26,f13417]) ).
thf(f13620,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f13618]) ).
thf(f13621,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f13619]) ).
thf(f13625,definition,
( spl0_220
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).
thf(f13626,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f13625]) ).
thf(f13650,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f334,f10511]) ).
thf(f13699,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f13650,f31]) ).
thf(f13715,plain,
( $false
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f13699,f28]) ).
thf(f13716,plain,
~ spl0_184,
inference(avatar_contradiction_clause,[],[f13715]) ).
thf(f13719,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_146
| ~ spl0_220 ),
inference(constrained_superposition,[],[f12136,f13626]) ).
thf(f13721,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_220 ),
inference(constrained_superposition,[],[f12165,f13626]) ).
thf(f13728,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_146
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f13719]) ).
thf(f13732,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f13721]) ).
thf(f13737,plain,
( $false
| ~ spl0_12
| ~ spl0_146
| ~ spl0_205
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f13728,f13389]) ).
thf(f13738,plain,
( ~ spl0_12
| ~ spl0_146
| ~ spl0_205
| ~ spl0_220 ),
inference(avatar_contradiction_clause,[],[f13737]) ).
thf(f13739,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_4
| spl0_158
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f13732,f12769]) ).
thf(f13740,plain,
( ~ spl0_216
| ~ spl0_4
| spl0_158
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f13739,f13625,f7833,f61,f13572]) ).
thf(f13741,plain,
( ( $true != $true )
| ~ spl0_207
| ~ spl0_213 ),
inference(constrained_superposition,[],[f13539,f13417]) ).
thf(f13744,plain,
( ( $true != $true )
| ~ spl0_202
| ~ spl0_213 ),
inference(constrained_superposition,[],[f13539,f13374]) ).
thf(f13745,plain,
( ( $true != $true )
| ~ spl0_211
| ~ spl0_213 ),
inference(constrained_superposition,[],[f13539,f13434]) ).
thf(f13747,plain,
( $false
| ~ spl0_211
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f13745]) ).
thf(f13748,plain,
( ~ spl0_211
| ~ spl0_213 ),
inference(avatar_contradiction_clause,[],[f13747]) ).
thf(f13749,plain,
( $false
| ~ spl0_207
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f13741]) ).
thf(f13750,plain,
( ~ spl0_207
| ~ spl0_213 ),
inference(avatar_contradiction_clause,[],[f13749]) ).
thf(f13751,plain,
( $false
| ~ spl0_202
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f13744]) ).
thf(f13752,plain,
( ~ spl0_202
| ~ spl0_213 ),
inference(avatar_contradiction_clause,[],[f13751]) ).
thf(f13757,plain,
( ( $true != $true )
| ~ spl0_205
| ~ spl0_215 ),
inference(constrained_superposition,[],[f13567,f13389]) ).
thf(f13759,plain,
( $false
| ~ spl0_205
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f13757]) ).
thf(f13760,plain,
( ~ spl0_205
| ~ spl0_215 ),
inference(avatar_contradiction_clause,[],[f13759]) ).
thf(f13765,plain,
( $false
| ~ spl0_201
| ~ spl0_215 ),
inference(forward_subsumption_resolution,[],[f13371,f13567]) ).
thf(f13766,plain,
( ~ spl0_201
| ~ spl0_215 ),
inference(avatar_contradiction_clause,[],[f13765]) ).
thf(f13767,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_16
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[],[f13620,f169]) ).
thf(f13770,plain,
( spl0_9
| spl0_205
| ~ spl0_16
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f13767,f13416,f168,f13388,f126]) ).
thf(f13771,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_216 ),
inference(constrained_superposition,[],[f13573,f35]) ).
thf(f13774,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_216 ),
inference(trivial_inequality_removal,[],[f13771]) ).
thf(f13778,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_205 ),
inference(constrained_superposition,[],[f147,f13389]) ).
thf(f13784,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f13778]) ).
thf(f13792,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_209 ),
inference(constrained_superposition,[],[f13425,f333]) ).
thf(f13797,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_209 ),
inference(trivial_inequality_removal,[],[f13792]) ).
thf(f13825,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_12
| ~ spl0_205 ),
inference(constrained_superposition,[],[f13784,f35]) ).
thf(f13826,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_205 ),
inference(constrained_superposition,[],[f13784,f333]) ).
thf(f13830,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f13826]) ).
thf(f13831,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f13825]) ).
thf(f13839,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_207
| ~ spl0_211 ),
inference(constrained_superposition,[],[f13621,f13434]) ).
thf(f13844,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_207
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f13839]) ).
thf(f13848,plain,
( ~ spl0_128
| spl0_127
| spl0_146
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f11864,f6445,f7542,f6777,f6782]) ).
thf(f13849,plain,
( spl0_146
| spl0_125 ),
inference(avatar_split_clause,[],[f12666,f6611,f7542]) ).
thf(f13851,plain,
( spl0_196
| spl0_173
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f12505,f7528,f9301,f13034]) ).
thf(f13853,plain,
( ~ spl0_20
| spl0_37
| ~ spl0_207
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f13844,f13433,f13416,f826,f360]) ).
thf(f13855,plain,
( ~ spl0_114
| spl0_112
| ~ spl0_108
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f12645,f6809,f6438,f6472,f6478]) ).
thf(f13858,plain,
( spl0_180
| spl0_181
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f12504,f7528,f10085,f10082]) ).
thf(f13859,plain,
( spl0_113
| ~ spl0_125
| spl0_6
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f12655,f6438,f89,f6611,f6475]) ).
thf(f13871,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f26,f10900]) ).
thf(f13873,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f13871]) ).
thf(f13875,plain,
( spl0_198
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f13873,f6478,f13339]) ).
thf(f13877,plain,
( spl0_207
| spl0_216 ),
inference(avatar_split_clause,[],[f13774,f13572,f13416]) ).
thf(f13880,plain,
( spl0_211
| ~ spl0_61
| ~ spl0_12
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f13830,f13388,f146,f4112,f13433]) ).
thf(f13881,plain,
( spl0_211
| spl0_209 ),
inference(avatar_split_clause,[],[f13797,f13424,f13433]) ).
thf(f13882,plain,
( spl0_45
| spl0_118
| spl0_173
| spl0_151 ),
inference(avatar_split_clause,[],[f13362,f7694,f9301,f6571,f2689]) ).
thf(f13894,plain,
( spl0_111
| spl0_110
| spl0_151 ),
inference(avatar_split_clause,[],[f13366,f7694,f6445,f6448]) ).
thf(f13896,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_25
| ~ spl0_137 ),
inference(constrained_superposition,[],[f7227,f587]) ).
thf(f13898,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_25
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f13896]) ).
thf(f13901,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_25
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f13898,f27]) ).
thf(f13902,plain,
( spl0_184
| ~ spl0_25
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f13901,f7226,f586,f10510]) ).
thf(f13913,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true ) )
| ~ spl0_158 ),
inference(constrained_superposition,[],[f83,f7834]) ).
thf(f13915,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f13913]) ).
thf(f13917,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_16
| ~ spl0_158 ),
inference(forward_subsumption_resolution,[],[f13915,f169]) ).
thf(f13918,plain,
( spl0_146
| spl0_9
| ~ spl0_16
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f13917,f7833,f168,f126,f7542]) ).
thf(f13927,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_12
| ~ spl0_146 ),
inference(constrained_superposition,[],[f147,f7543]) ).
thf(f13933,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f13927]) ).
thf(f13994,definition,
( spl0_222
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
thf(f13995,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f13994]) ).
thf(f14019,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_165
| ~ spl0_193 ),
inference(constrained_superposition,[],[f12631,f8086]) ).
thf(f14021,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_165
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f14019]) ).
thf(f14034,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f83,f11652]) ).
thf(f14035,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f26,f11652]) ).
thf(f14036,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f14035]) ).
thf(f14037,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f14034]) ).
thf(f14042,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_63 ),
inference(constrained_superposition,[],[f4120,f36]) ).
thf(f14047,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f14042]) ).
thf(f14069,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_26
| ~ spl0_111 ),
inference(constrained_superposition,[],[f591,f6449]) ).
thf(f14070,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_29
| ~ spl0_111 ),
inference(constrained_superposition,[],[f664,f6449]) ).
thf(f14075,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_26
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f14069]) ).
thf(f14076,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_29
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f14070]) ).
thf(f14082,plain,
( spl0_160
| spl0_157
| ~ spl0_26
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f14075,f6448,f590,f7828,f7840]) ).
thf(f14083,plain,
( spl0_157
| ~ spl0_186
| ~ spl0_29
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f14076,f6448,f663,f10798,f7828]) ).
thf(f14097,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_111
| ~ spl0_146 ),
inference(constrained_superposition,[],[f13933,f6449]) ).
thf(f14104,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_111
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f14097]) ).
thf(f14122,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_135
| ~ spl0_196 ),
inference(constrained_superposition,[],[f13035,f7160]) ).
thf(f14128,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_135
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f14122]) ).
thf(f14129,plain,
( $false
| ~ spl0_61
| ~ spl0_135
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f14128,f4113]) ).
thf(f14130,plain,
( ~ spl0_61
| ~ spl0_135
| ~ spl0_196 ),
inference(avatar_contradiction_clause,[],[f14129]) ).
thf(f14137,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_204 ),
inference(constrained_superposition,[],[f13001,f13381]) ).
thf(f14140,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f14137]) ).
thf(f14177,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_155 ),
inference(constrained_superposition,[],[f7820,f36]) ).
thf(f14182,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f14177]) ).
thf(f14187,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_160 ),
inference(constrained_superposition,[],[f7841,f36]) ).
thf(f14189,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_160 ),
inference(trivial_inequality_removal,[],[f14187]) ).
thf(f14197,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f2690,f36]) ).
thf(f14200,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f14197]) ).
thf(f14213,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_158
| ~ spl0_198 ),
inference(constrained_superposition,[],[f13340,f7834]) ).
thf(f14218,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_158
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f14213]) ).
thf(f14221,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| ~ spl0_16
| ~ spl0_158
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f14218,f169]) ).
thf(f14222,plain,
( spl0_9
| ~ spl0_16
| ~ spl0_158
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f14221,f13339,f7833,f168,f126]) ).
thf(f14278,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_205
| ~ spl0_208 ),
inference(constrained_superposition,[],[f13421,f13389]) ).
thf(f14284,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_205
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f14278]) ).
thf(f14285,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_205
| ~ spl0_208 ),
inference(constrained_superposition,[],[f14284,f30]) ).
thf(f14286,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_205
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f14285]) ).
thf(f14287,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f6782]) ).
thf(f14288,plain,
( spl0_128
| spl0_129
| ~ spl0_205
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f14286,f13420,f13388,f6800,f6782]) ).
thf(f14308,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_108
| ~ spl0_190 ),
inference(constrained_superposition,[],[f14036,f6439]) ).
thf(f14311,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_108
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f14308]) ).
thf(f14313,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_108
| ~ spl0_173
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f14311,f9302]) ).
thf(f14314,plain,
( spl0_112
| ~ spl0_108
| ~ spl0_173
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f14313,f11651,f9301,f6438,f6472]) ).
thf(f14319,plain,
( $false
| ~ spl0_12
| ~ spl0_111
| ~ spl0_113
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f6476,f14104]) ).
thf(f14320,plain,
( ~ spl0_12
| ~ spl0_111
| ~ spl0_113
| ~ spl0_146 ),
inference(avatar_contradiction_clause,[],[f14319]) ).
thf(f14321,plain,
( spl0_207
| ~ spl0_22
| ~ spl0_12
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f13831,f13388,f146,f367,f13416]) ).
thf(f14322,plain,
( spl0_109
| spl0_108
| spl0_151 ),
inference(avatar_split_clause,[],[f13365,f7694,f6438,f6441]) ).
thf(f14323,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_20
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f14047,f11684]) ).
thf(f14324,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f14140,f27]) ).
thf(f14325,plain,
( ~ spl0_22
| ~ spl0_165
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f14021,f12630,f8085,f367]) ).
thf(f14327,plain,
( ~ spl0_128
| spl0_127
| spl0_61
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f14037,f11651,f4112,f6777,f6782]) ).
thf(f14330,plain,
( ~ spl0_22
| spl0_20
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f14323,f4119,f360,f367]) ).
thf(f14331,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f14324,f27]) ).
thf(f14332,plain,
( spl0_207
| spl0_154
| ~ spl0_4
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f14331,f13380,f61,f7816,f13416]) ).
thf(f14346,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_12
| ~ spl0_61 ),
inference(constrained_superposition,[],[f147,f4113]) ).
thf(f14352,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f14346]) ).
thf(f14412,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_109
| ~ spl0_180 ),
inference(constrained_superposition,[],[f10083,f6442]) ).
thf(f14419,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_109 ),
inference(constrained_superposition,[],[f13001,f6442]) ).
thf(f14424,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_109
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f14412]) ).
thf(f14427,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f14419]) ).
thf(f14431,plain,
( ~ spl0_132
| ~ spl0_109
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f14424,f10082,f6441,f6927]) ).
thf(f14443,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_190
| ~ spl0_203 ),
inference(constrained_superposition,[],[f14036,f13378]) ).
thf(f14450,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_190
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f14443]) ).
thf(f14452,definition,
( spl0_223
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f14453,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_223 ),
inference(avatar_component_clause,[],[f14452]) ).
thf(f14454,plain,
( ~ spl0_223
| spl0_213
| ~ spl0_190
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f14450,f13377,f11651,f13538,f14452]) ).
thf(f14458,definition,
( spl0_224
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
thf(f14459,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f14458]) ).
thf(f14461,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_61
| ~ spl0_224 ),
inference(constrained_superposition,[],[f14352,f14459]) ).
thf(f14468,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_224 ),
inference(constrained_superposition,[],[f13001,f14459]) ).
thf(f14469,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_4
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f14468]) ).
thf(f14475,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_61
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f14461]) ).
thf(f14477,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_4
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f14469,f27]) ).
thf(f14479,plain,
( $false
| ~ spl0_12
| ~ spl0_61
| ~ spl0_205
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f14475,f13389]) ).
thf(f14480,plain,
( ~ spl0_12
| ~ spl0_61
| ~ spl0_205
| ~ spl0_224 ),
inference(avatar_contradiction_clause,[],[f14479]) ).
thf(f14485,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_4
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f14477,f27]) ).
thf(f14487,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_4
| spl0_28
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f14485,f11703]) ).
thf(f14488,plain,
( spl0_207
| ~ spl0_4
| spl0_28
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f14487,f14458,f660,f61,f13416]) ).
thf(f14490,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_207 ),
inference(constrained_superposition,[],[f26,f13417]) ).
thf(f14491,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f14490]) ).
thf(f14515,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f13616,f334]) ).
thf(f14519,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f14515]) ).
thf(f14529,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f8219,f35]) ).
thf(f14530,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f8219,f333]) ).
thf(f14531,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_167
| ~ spl0_204 ),
inference(constrained_superposition,[],[f8219,f13381]) ).
thf(f14536,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f14529]) ).
thf(f14537,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f14530]) ).
thf(f14540,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_167
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f14531]) ).
thf(f14542,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_167
| ~ spl0_204 ),
inference(constrained_superposition,[],[f14540,f30]) ).
thf(f14544,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_167
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f14542]) ).
thf(f14546,definition,
( spl0_226
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).
thf(f14547,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f14546]) ).
thf(f14550,definition,
( spl0_227
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f14551,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f14550]) ).
thf(f14552,plain,
( spl0_227
| spl0_226
| ~ spl0_167
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f14544,f13380,f8218,f14546,f14550]) ).
thf(f14560,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_202
| ~ spl0_207 ),
inference(constrained_superposition,[],[f14491,f13374]) ).
thf(f14561,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_207
| ~ spl0_226 ),
inference(constrained_superposition,[],[f14491,f14547]) ).
thf(f14564,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_207
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f14561]) ).
thf(f14567,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_202
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f14560]) ).
thf(f14569,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_181
| ~ spl0_207
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f14564,f10086]) ).
thf(f14570,plain,
( spl0_112
| ~ spl0_181
| ~ spl0_207
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f14569,f14546,f13416,f10085,f6472]) ).
thf(f14572,plain,
( ~ spl0_120
| spl0_154
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f14536,f8218,f7816,f6578]) ).
thf(f14573,plain,
( ~ spl0_177
| spl0_127
| ~ spl0_202
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f14567,f13416,f13373,f6777,f9715]) ).
thf(f14575,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f14452]) ).
thf(f14576,plain,
( ~ spl0_61
| spl0_223
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f14519,f13615,f14452,f4112]) ).
thf(f14577,plain,
( spl0_177
| ~ spl0_120
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f14182,f7819,f6578,f9715]) ).
thf(f14579,definition,
( spl0_228
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).
thf(f14580,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f14579]) ).
thf(f14583,plain,
( spl0_177
| ~ spl0_156
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f14189,f7840,f7824,f9715]) ).
thf(f14584,plain,
( ~ spl0_189
| spl0_157
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f14537,f8218,f7828,f11648]) ).
thf(f14585,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f14427,f27]) ).
thf(f14586,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f14585,f27]) ).
thf(f14587,plain,
( spl0_154
| spl0_158
| ~ spl0_4
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f14586,f6441,f61,f7833,f7816]) ).
thf(f14594,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_16
| ~ spl0_35 ),
inference(constrained_superposition,[],[f12238,f751]) ).
thf(f14595,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f26,f751]) ).
thf(f14596,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f14595]) ).
thf(f14597,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_16
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f14594]) ).
thf(f14600,plain,
( ~ spl0_20
| spl0_37
| ~ spl0_16
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f14597,f750,f168,f826,f360]) ).
thf(f14622,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_132 ),
inference(constrained_superposition,[],[f6928,f36]) ).
thf(f14625,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_132 ),
inference(trivial_inequality_removal,[],[f14622]) ).
thf(f14627,plain,
( spl0_177
| spl0_132 ),
inference(avatar_split_clause,[],[f14625,f6927,f9715]) ).
thf(f14632,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_135 ),
inference(constrained_superposition,[],[f49,f7160]) ).
thf(f14643,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f14632]) ).
thf(f14644,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_135
| spl0_158 ),
inference(forward_subsumption_resolution,[],[f14643,f12769]) ).
thf(f14645,plain,
( spl0_175
| ~ spl0_2
| ~ spl0_135
| spl0_158 ),
inference(avatar_split_clause,[],[f14644,f7833,f7159,f48,f9616]) ).
thf(f14648,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_113
| ~ spl0_167 ),
inference(constrained_superposition,[],[f8219,f6476]) ).
thf(f14650,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_12
| ~ spl0_113 ),
inference(constrained_superposition,[],[f147,f6476]) ).
thf(f14657,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f14650]) ).
thf(f14661,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_113
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f14648]) ).
thf(f14663,plain,
( $false
| ~ spl0_113
| ~ spl0_135
| ~ spl0_167 ),
inference(forward_subsumption_resolution,[],[f14661,f7160]) ).
thf(f14664,plain,
( ~ spl0_113
| ~ spl0_135
| ~ spl0_167 ),
inference(avatar_contradiction_clause,[],[f14663]) ).
thf(f14669,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_189 ),
inference(constrained_superposition,[],[f11649,f334]) ).
thf(f14673,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_189 ),
inference(trivial_inequality_removal,[],[f14669]) ).
thf(f14705,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
!= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f32,f14551]) ).
thf(f14766,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_227 ),
inference(equality_resolution,[],[f14705]) ).
thf(f14768,plain,
( spl0_184
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f14766,f14550,f10510]) ).
thf(f14769,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_108 ),
inference(constrained_superposition,[],[f83,f6439]) ).
thf(f14771,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f14769]) ).
thf(f14818,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_175 ),
inference(constrained_superposition,[],[f9617,f334]) ).
thf(f14822,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f14818]) ).
thf(f14865,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f13995,f334]) ).
thf(f14866,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f13995,f36]) ).
thf(f14870,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f14865]) ).
thf(f14871,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f14866]) ).
thf(f14872,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_113
| ~ spl0_204 ),
inference(constrained_superposition,[],[f14657,f13381]) ).
thf(f14874,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_204
| ~ spl0_219 ),
inference(constrained_superposition,[],[f13616,f13381]) ).
thf(f14877,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_204 ),
inference(constrained_superposition,[],[f49,f13381]) ).
thf(f14881,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f14877]) ).
thf(f14883,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_204
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f14874]) ).
thf(f14889,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_113
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f14872]) ).
thf(f14890,plain,
( spl0_207
| spl0_210
| ~ spl0_2
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f14881,f13380,f48,f13429,f13416]) ).
thf(f14891,plain,
( $false
| ~ spl0_113
| ~ spl0_204
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f14883,f6476]) ).
thf(f14892,plain,
( ~ spl0_113
| ~ spl0_204
| ~ spl0_219 ),
inference(avatar_contradiction_clause,[],[f14891]) ).
thf(f14894,plain,
( $false
| ~ spl0_12
| ~ spl0_113
| ~ spl0_204
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f14889,f13389]) ).
thf(f14895,plain,
( ~ spl0_12
| ~ spl0_113
| ~ spl0_204
| ~ spl0_205 ),
inference(avatar_contradiction_clause,[],[f14894]) ).
thf(f14918,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_16
| ~ spl0_128 ),
inference(constrained_superposition,[],[f12238,f14287]) ).
thf(f14921,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_16
| ~ spl0_128 ),
inference(trivial_inequality_removal,[],[f14918]) ).
thf(f14922,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_16
| ~ spl0_128
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[],[f14921,f9716]) ).
thf(f14923,plain,
( spl0_127
| ~ spl0_16
| ~ spl0_128
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f14922,f9715,f6782,f168,f6777]) ).
thf(f14926,plain,
( ~ spl0_114
| spl0_113
| spl0_112
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f14771,f6438,f6472,f6475,f6478]) ).
thf(f14928,plain,
( spl0_173
| ~ spl0_61
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f14822,f9616,f4112,f9301]) ).
thf(f14929,plain,
( spl0_173
| spl0_189 ),
inference(avatar_split_clause,[],[f14673,f11648,f9301]) ).
thf(f14945,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f29,f7160]) ).
thf(f14950,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f14945]) ).
thf(f14958,plain,
( spl0_118
| spl0_12
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f14950,f7159,f146,f6571]) ).
thf(f14959,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_128 ),
inference(constrained_superposition,[],[f6783,f37]) ).
thf(f14960,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_128 ),
inference(trivial_inequality_removal,[],[f14959]) ).
thf(f14961,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_128 ),
inference(forward_subsumption_resolution,[],[f14960,f27]) ).
thf(f14962,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_173 ),
inference(constrained_superposition,[],[f12036,f37]) ).
thf(f14963,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_173 ),
inference(trivial_inequality_removal,[],[f14962]) ).
thf(f14964,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_23
| spl0_173 ),
inference(forward_subsumption_resolution,[],[f14963,f6225]) ).
thf(f14965,plain,
( spl0_189
| spl0_23
| spl0_173 ),
inference(avatar_split_clause,[],[f14964,f9301,f580,f11648]) ).
thf(f14969,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_29
| spl0_128 ),
inference(constrained_superposition,[],[f664,f14961]) ).
thf(f14970,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_128 ),
inference(constrained_superposition,[],[f49,f14961]) ).
thf(f14977,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_29
| spl0_128 ),
inference(trivial_inequality_removal,[],[f14969]) ).
thf(f14980,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_2
| spl0_128 ),
inference(trivial_inequality_removal,[],[f14970]) ).
thf(f14983,plain,
( spl0_174
| spl0_154
| ~ spl0_2
| spl0_128 ),
inference(avatar_split_clause,[],[f14980,f6782,f48,f7816,f9561]) ).
thf(f14993,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_4
| ~ spl0_189 ),
inference(constrained_superposition,[],[f13001,f13334]) ).
thf(f15001,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f14993]) ).
thf(f15016,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f15001,f27]) ).
thf(f15017,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| spl0_28
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f15016,f11703]) ).
thf(f15018,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| spl0_28
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f15017,f27]) ).
thf(f15019,plain,
( spl0_158
| ~ spl0_4
| spl0_28
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f15018,f11648,f660,f61,f7833]) ).
thf(f15042,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f26,f11652]) ).
thf(f15043,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f15042]) ).
thf(f15045,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_218 ),
inference(constrained_superposition,[],[f13592,f37]) ).
thf(f15046,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_218 ),
inference(trivial_inequality_removal,[],[f15045]) ).
thf(f15047,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_218 ),
inference(forward_subsumption_resolution,[],[f15046,f27]) ).
thf(f15052,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| spl0_218 ),
inference(constrained_superposition,[],[f29,f15047]) ).
thf(f15061,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| spl0_218 ),
inference(trivial_inequality_removal,[],[f15052]) ).
thf(f15062,plain,
( spl0_215
| spl0_12
| spl0_218 ),
inference(avatar_split_clause,[],[f15061,f13591,f146,f13566]) ).
thf(f15100,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f147,f36]) ).
thf(f15104,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f15100]) ).
thf(f15132,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_35
| ~ spl0_223 ),
inference(constrained_superposition,[],[f14596,f14575]) ).
thf(f15134,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_35
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f15132]) ).
thf(f15161,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_210
| spl0_218 ),
inference(constrained_superposition,[],[f13430,f15047]) ).
thf(f15162,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f13430,f36]) ).
thf(f15165,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_210
| spl0_218 ),
inference(trivial_inequality_removal,[],[f15161]) ).
thf(f15168,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f15162]) ).
thf(f15169,plain,
( $false
| spl0_128
| ~ spl0_210
| spl0_218 ),
inference(forward_subsumption_resolution,[],[f15165,f14961]) ).
thf(f15170,plain,
( spl0_128
| ~ spl0_210
| spl0_218 ),
inference(avatar_contradiction_clause,[],[f15169]) ).
thf(f15172,plain,
( ~ spl0_132
| spl0_214
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f15168,f13429,f13541,f6927]) ).
thf(f15176,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f15043,f73]) ).
thf(f15178,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f15176]) ).
thf(f15183,plain,
( spl0_113
| ~ spl0_25
| spl0_6
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f15178,f11651,f89,f586,f6475]) ).
thf(f15184,plain,
( spl0_213
| ~ spl0_218
| ~ spl0_35
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f15134,f14452,f750,f13591,f13538]) ).
thf(f15193,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_61 ),
inference(constrained_superposition,[],[f29,f4113]) ).
thf(f15200,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f15193]) ).
thf(f15202,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_154
| ~ spl0_190 ),
inference(constrained_superposition,[],[f15043,f7817]) ).
thf(f15203,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_154 ),
inference(constrained_superposition,[],[f83,f7817]) ).
thf(f15205,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_154
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f15202]) ).
thf(f15207,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f15203]) ).
thf(f15208,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_16
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f15207,f169]) ).
thf(f15209,plain,
( spl0_113
| spl0_9
| ~ spl0_16
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f15208,f7816,f168,f126,f6475]) ).
thf(f15225,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_114 ),
inference(constrained_superposition,[],[f12238,f10900]) ).
thf(f15228,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f15225]) ).
thf(f15261,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f29,f6476]) ).
thf(f15268,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f15261]) ).
thf(f15270,plain,
( spl0_119
| spl0_13
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f15268,f6475,f158,f6574]) ).
thf(f15277,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_35
| ~ spl0_173 ),
inference(constrained_superposition,[],[f14596,f9302]) ).
thf(f15281,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_35
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f15277]) ).
thf(f15283,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_35
| ~ spl0_114
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[],[f15281,f10900]) ).
thf(f15284,plain,
( spl0_112
| ~ spl0_35
| ~ spl0_114
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f15283,f9301,f6478,f750,f6472]) ).
thf(f15285,plain,
( ~ spl0_165
| spl0_157
| ~ spl0_29
| spl0_128 ),
inference(avatar_split_clause,[],[f14977,f6782,f663,f7828,f8085]) ).
thf(f15311,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f13539,f73]) ).
thf(f15314,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f15311]) ).
thf(f15317,plain,
( spl0_205
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f15314,f13538,f13388]) ).
thf(f15362,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f10083,f334]) ).
thf(f15365,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f15362]) ).
thf(f15370,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_109
| ~ spl0_188 ),
inference(constrained_superposition,[],[f11320,f6442]) ).
thf(f15385,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_109
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f15370]) ).
thf(f15390,plain,
( $false
| ~ spl0_109
| spl0_128
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f15385,f14961]) ).
thf(f15391,plain,
( ~ spl0_109
| spl0_128
| ~ spl0_188 ),
inference(avatar_contradiction_clause,[],[f15390]) ).
thf(f15418,plain,
( ~ spl0_28
| spl0_9
| ~ spl0_154
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f15205,f11651,f7816,f126,f660]) ).
thf(f15425,plain,
( spl0_173
| ~ spl0_48
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f15365,f10082,f2802,f9301]) ).
thf(f15436,plain,
( ( $true != $true )
| ~ spl0_176
| spl0_181 ),
inference(constrained_superposition,[],[f11157,f9669]) ).
thf(f15439,plain,
( $false
| ~ spl0_176
| spl0_181 ),
inference(trivial_inequality_removal,[],[f15436]) ).
thf(f15440,plain,
( ~ spl0_176
| spl0_181 ),
inference(avatar_contradiction_clause,[],[f15439]) ).
thf(f15441,plain,
( spl0_5
| spl0_185
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f15104,f146,f10514,f86]) ).
thf(f15442,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_28 ),
inference(constrained_superposition,[],[f124,f661]) ).
thf(f15443,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f15442]) ).
thf(f15444,plain,
( $false
| ~ spl0_8
| spl0_23
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f15443,f6225]) ).
thf(f15445,plain,
( ~ spl0_8
| spl0_23
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f15444]) ).
thf(f15446,plain,
( ~ spl0_181
| spl0_112
| ~ spl0_16
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f15228,f6478,f168,f6472,f10085]) ).
thf(f15447,plain,
( spl0_193
| spl0_20
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f14200,f2689,f360,f12630]) ).
thf(f15448,plain,
( ~ spl0_165
| spl0_190
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f14870,f13994,f11651,f8085]) ).
thf(f15480,plain,
( $false
| ~ spl0_112
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f8213,f6473]) ).
thf(f15481,plain,
( ~ spl0_112
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f15480]) ).
thf(f15482,plain,
( spl0_45
| spl0_13
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f15200,f4112,f158,f2689]) ).
thf(f15483,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f46,f36]) ).
thf(f15485,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f15483]) ).
thf(f15487,plain,
( ( $true != $true )
| ~ spl0_1
| spl0_20 ),
inference(constrained_superposition,[],[f11684,f15485]) ).
thf(f15490,plain,
( $false
| ~ spl0_1
| spl0_20 ),
inference(trivial_inequality_removal,[],[f15487]) ).
thf(f15491,plain,
( ~ spl0_1
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f15490]) ).
thf(f15493,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f29,f93]) ).
thf(f15496,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X3 @ X2 )
!= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f15493]) ).
thf(f15497,plain,
( spl0_13
| spl0_14
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f15496,f92,f161,f158]) ).
thf(f15502,plain,
( $false
| ~ spl0_7
| spl0_61 ),
inference(forward_subsumption_resolution,[],[f11700,f93]) ).
thf(f15503,plain,
( ~ spl0_7
| spl0_61 ),
inference(avatar_contradiction_clause,[],[f15502]) ).
thf(f15504,plain,
( ~ spl0_38
| spl0_177
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f14871,f13994,f9715,f914]) ).
thf(f15505,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f26,f140]) ).
thf(f15506,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f15505]) ).
thf(f15513,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_158 ),
inference(constrained_superposition,[],[f26,f7834]) ).
thf(f15515,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f15513]) ).
thf(f15530,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_128 ),
inference(constrained_superposition,[],[f6783,f37]) ).
thf(f15531,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_128 ),
inference(trivial_inequality_removal,[],[f15530]) ).
thf(f15532,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_128 ),
inference(forward_subsumption_resolution,[],[f15531,f27]) ).
thf(f15536,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_26
| spl0_128 ),
inference(constrained_superposition,[],[f591,f15532]) ).
thf(f15537,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| spl0_128 ),
inference(constrained_superposition,[],[f29,f15532]) ).
thf(f15540,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| spl0_128 ),
inference(trivial_inequality_removal,[],[f15537]) ).
thf(f15541,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_26
| spl0_128 ),
inference(trivial_inequality_removal,[],[f15536]) ).
thf(f15542,plain,
( spl0_134
| spl0_12
| spl0_128 ),
inference(avatar_split_clause,[],[f15540,f6782,f146,f6934]) ).
thf(f15543,plain,
( spl0_157
| spl0_222
| ~ spl0_26
| spl0_128 ),
inference(avatar_split_clause,[],[f15541,f6782,f590,f13994,f7828]) ).
thf(f15544,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_189 ),
inference(constrained_superposition,[],[f591,f13334]) ).
thf(f15549,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f15544]) ).
thf(f15551,plain,
( spl0_166
| spl0_196
| ~ spl0_26
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f15549,f11648,f590,f13034,f8212]) ).
thf(f15596,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f62,f35]) ).
thf(f15597,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f15596]) ).
thf(f15611,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f83,f13434]) ).
thf(f15614,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f15611]) ).
thf(f15615,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_223 ),
inference(constrained_superposition,[],[f14453,f37]) ).
thf(f15616,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_223 ),
inference(trivial_inequality_removal,[],[f15615]) ).
thf(f15617,plain,
( spl0_224
| spl0_129
| spl0_223 ),
inference(avatar_split_clause,[],[f15616,f14452,f6800,f14458]) ).
thf(f15626,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_5
| ~ spl0_114 ),
inference(constrained_superposition,[],[f15506,f10900]) ).
thf(f15629,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_5
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f15626]) ).
thf(f15631,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_5
| ~ spl0_114
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f15629,f10086]) ).
thf(f15632,plain,
( spl0_112
| ~ spl0_5
| ~ spl0_114
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f15631,f10085,f6478,f86,f6472]) ).
thf(f15634,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_113
| ~ spl0_185 ),
inference(constrained_superposition,[],[f10515,f6476]) ).
thf(f15638,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_113
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f15634]) ).
thf(f15641,plain,
( ~ spl0_132
| ~ spl0_113
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f15638,f10514,f6475,f6927]) ).
thf(f15645,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f26,f661]) ).
thf(f15646,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f15645]) ).
thf(f15668,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_217 ),
inference(constrained_superposition,[],[f13587,f37]) ).
thf(f15669,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_217 ),
inference(trivial_inequality_removal,[],[f15668]) ).
thf(f15670,plain,
( spl0_220
| spl0_184
| spl0_217 ),
inference(avatar_split_clause,[],[f15669,f13586,f10510,f13625]) ).
thf(f15680,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_109
| ~ spl0_196 ),
inference(constrained_superposition,[],[f13035,f6442]) ).
thf(f15683,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f13035,f36]) ).
thf(f15685,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_109
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f15680]) ).
thf(f15686,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f15683]) ).
thf(f15690,plain,
( $false
| ~ spl0_109
| ~ spl0_183
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f15685,f11969]) ).
thf(f15691,plain,
( ~ spl0_109
| ~ spl0_183
| ~ spl0_196 ),
inference(avatar_contradiction_clause,[],[f15690]) ).
thf(f15692,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_35
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f15614,f751]) ).
thf(f15693,plain,
( spl0_205
| spl0_37
| ~ spl0_35
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f15692,f13433,f750,f826,f13388]) ).
thf(f15758,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f15646,f73]) ).
thf(f15761,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f15758]) ).
thf(f15764,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_5
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f15761,f140]) ).
thf(f15766,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_5
| ~ spl0_28
| spl0_61 ),
inference(forward_subsumption_resolution,[],[f15764,f11700]) ).
thf(f15767,plain,
( spl0_6
| ~ spl0_5
| ~ spl0_28
| spl0_61 ),
inference(avatar_split_clause,[],[f15766,f4112,f660,f86,f89]) ).
thf(f15770,plain,
( ~ spl0_32
| spl0_181
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f15686,f13034,f10085,f680]) ).
thf(f15796,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_183 ),
inference(constrained_superposition,[],[f10192,f30]) ).
thf(f15797,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_183 ),
inference(trivial_inequality_removal,[],[f15796]) ).
thf(f15800,plain,
( spl0_184
| spl0_190
| spl0_183 ),
inference(avatar_split_clause,[],[f15797,f10191,f11651,f10510]) ).
thf(f15806,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_109 ),
inference(constrained_superposition,[],[f15597,f6442]) ).
thf(f15808,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_26
| ~ spl0_109 ),
inference(constrained_superposition,[],[f591,f6442]) ).
thf(f15809,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f29,f6442]) ).
thf(f15811,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f15806]) ).
thf(f15813,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f15809]) ).
thf(f15815,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_26
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f15808]) ).
thf(f15816,plain,
( spl0_119
| spl0_118
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f15813,f6441,f6571,f6574]) ).
thf(f15817,plain,
( spl0_167
| spl0_166
| ~ spl0_26
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f15815,f6441,f590,f8212,f8218]) ).
thf(f15820,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f29,f6449]) ).
thf(f15823,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f15820]) ).
thf(f15826,plain,
( spl0_145
| spl0_134
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f15823,f6448,f6934,f7528]) ).
thf(f15847,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_201 ),
inference(constrained_superposition,[],[f15597,f13371]) ).
thf(f15848,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_26
| ~ spl0_201 ),
inference(constrained_superposition,[],[f591,f13371]) ).
thf(f15851,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f15847]) ).
thf(f15852,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_26
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f15848]) ).
thf(f15878,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_160
| ~ spl0_201 ),
inference(constrained_superposition,[],[f7841,f13371]) ).
thf(f15880,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_160 ),
inference(constrained_superposition,[],[f7841,f334]) ).
thf(f15883,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_160 ),
inference(trivial_inequality_removal,[],[f15880]) ).
thf(f15885,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_160
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f15878]) ).
thf(f15891,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_160
| ~ spl0_201 ),
inference(constrained_superposition,[],[f15885,f30]) ).
thf(f15893,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_160
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f15891]) ).
thf(f15894,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f13586]) ).
thf(f15896,plain,
( spl0_227
| spl0_217
| ~ spl0_160
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f15893,f13370,f7840,f13586,f14550]) ).
thf(f15897,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_158
| ~ spl0_217 ),
inference(constrained_superposition,[],[f15515,f15894]) ).
thf(f15898,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_217 ),
inference(constrained_superposition,[],[f83,f15894]) ).
thf(f15900,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_158
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f15897]) ).
thf(f15902,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f15898]) ).
thf(f15907,plain,
( spl0_213
| ~ spl0_214
| ~ spl0_158
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f15900,f13586,f7833,f13541,f13538]) ).
thf(f15908,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_218 ),
inference(constrained_superposition,[],[f13592,f37]) ).
thf(f15909,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_218 ),
inference(trivial_inequality_removal,[],[f15908]) ).
thf(f15910,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_218 ),
inference(forward_subsumption_resolution,[],[f15909,f27]) ).
thf(f15913,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f49,f333]) ).
thf(f15914,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_109 ),
inference(constrained_superposition,[],[f49,f6442]) ).
thf(f15915,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_201 ),
inference(constrained_superposition,[],[f49,f13371]) ).
thf(f15916,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_111 ),
inference(constrained_superposition,[],[f49,f6449]) ).
thf(f15920,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_113 ),
inference(constrained_superposition,[],[f49,f6476]) ).
thf(f15927,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f15920]) ).
thf(f15929,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f15914]) ).
thf(f15930,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f15915]) ).
thf(f15931,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f15916]) ).
thf(f15932,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f15913]) ).
thf(f15935,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_2
| spl0_16
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f15927,f668]) ).
thf(f15937,plain,
( spl0_174
| ~ spl0_2
| spl0_16
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f15935,f6475,f168,f48,f9561]) ).
thf(f15939,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_4
| spl0_218 ),
inference(constrained_superposition,[],[f15597,f15910]) ).
thf(f15940,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_26
| spl0_218 ),
inference(constrained_superposition,[],[f591,f15910]) ).
thf(f15941,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_2
| spl0_218 ),
inference(constrained_superposition,[],[f49,f15910]) ).
thf(f15944,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_26
| spl0_218 ),
inference(trivial_inequality_removal,[],[f15940]) ).
thf(f15947,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_2
| spl0_218 ),
inference(trivial_inequality_removal,[],[f15941]) ).
thf(f15948,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_4
| spl0_218 ),
inference(trivial_inequality_removal,[],[f15939]) ).
thf(f15949,plain,
( spl0_211
| spl0_228
| ~ spl0_26
| spl0_218 ),
inference(avatar_split_clause,[],[f15944,f13591,f590,f14579,f13433]) ).
thf(f15952,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_174
| ~ spl0_201 ),
inference(constrained_superposition,[],[f9562,f13371]) ).
thf(f15960,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_174
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f15952]) ).
thf(f15982,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_228 ),
inference(constrained_superposition,[],[f14580,f36]) ).
thf(f15984,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f15982]) ).
thf(f15989,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_214
| ~ spl0_228 ),
inference(forward_subsumption_resolution,[],[f15984,f13542]) ).
thf(f15990,plain,
( ~ spl0_38
| spl0_214
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f15989,f14579,f13541,f914]) ).
thf(f15991,plain,
( $false
| ~ spl0_174
| ~ spl0_201
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f13389,f15960]) ).
thf(f15992,plain,
( ~ spl0_174
| ~ spl0_201
| ~ spl0_205 ),
inference(avatar_contradiction_clause,[],[f15991]) ).
thf(f15993,plain,
( spl0_157
| spl0_208
| ~ spl0_26
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f15852,f13370,f590,f13420,f7828]) ).
thf(f15994,plain,
( ~ spl0_186
| spl0_190
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f15883,f7840,f11651,f10798]) ).
thf(f16005,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_146 ),
inference(constrained_superposition,[],[f49,f7543]) ).
thf(f16012,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f16005]) ).
thf(f16015,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| spl0_16
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f16012,f668]) ).
thf(f16016,plain,
( spl0_175
| ~ spl0_2
| spl0_16
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f16015,f7542,f168,f48,f9616]) ).
thf(f16018,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_26
| ~ spl0_135 ),
inference(constrained_superposition,[],[f591,f7160]) ).
thf(f16025,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f16018]) ).
thf(f16027,plain,
( spl0_188
| spl0_166
| ~ spl0_26
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f16025,f7159,f590,f8212,f11319]) ).
thf(f16029,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f83,f8213]) ).
thf(f16033,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f16029]) ).
thf(f16039,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_173 ),
inference(constrained_superposition,[],[f83,f9302]) ).
thf(f16042,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f16039]) ).
thf(f16062,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_190 ),
inference(constrained_superposition,[],[f11965,f37]) ).
thf(f16063,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_190 ),
inference(trivial_inequality_removal,[],[f16062]) ).
thf(f16064,plain,
( spl0_183
| spl0_122
| spl0_190 ),
inference(avatar_split_clause,[],[f16063,f11651,f6600,f10191]) ).
thf(f16067,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_26
| ~ spl0_183 ),
inference(constrained_superposition,[],[f591,f11969]) ).
thf(f16069,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f29,f11969]) ).
thf(f16073,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f16069]) ).
thf(f16075,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_26
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f16067]) ).
thf(f16077,plain,
( spl0_45
| spl0_134
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f16073,f10191,f6934,f2689]) ).
thf(f16078,plain,
( spl0_157
| spl0_194
| ~ spl0_26
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f16075,f10191,f590,f12737,f7828]) ).
thf(f16081,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_205 ),
inference(constrained_superposition,[],[f10515,f13389]) ).
thf(f16082,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_2
| ~ spl0_205 ),
inference(constrained_superposition,[],[f49,f13389]) ).
thf(f16088,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_185
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f16081]) ).
thf(f16089,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f16082]) ).
thf(f16092,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_16
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f16089,f668]) ).
thf(f16093,plain,
( spl0_219
| ~ spl0_2
| spl0_16
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f16092,f13388,f168,f48,f13615]) ).
thf(f16095,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_205 ),
inference(constrained_superposition,[],[f16088,f30]) ).
thf(f16096,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_185
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f16095]) ).
thf(f16098,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_185
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f16096,f27]) ).
thf(f16101,plain,
( $false
| ~ spl0_185
| ~ spl0_205
| spl0_214 ),
inference(forward_subsumption_resolution,[],[f16098,f13542]) ).
thf(f16102,plain,
( ~ spl0_185
| ~ spl0_205
| spl0_214 ),
inference(avatar_contradiction_clause,[],[f16101]) ).
thf(f16103,plain,
( spl0_207
| spl0_219
| ~ spl0_2
| spl0_218 ),
inference(avatar_split_clause,[],[f15947,f13591,f48,f13615,f13416]) ).
thf(f16104,plain,
( spl0_112
| spl0_61
| ~ spl0_114
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f16042,f9301,f6478,f4112,f6472]) ).
thf(f16106,plain,
( spl0_155
| spl0_158
| ~ spl0_2
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f15929,f6441,f48,f7833,f7819]) ).
thf(f16107,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_4
| spl0_16
| spl0_218 ),
inference(forward_subsumption_resolution,[],[f15948,f668]) ).
thf(f16108,plain,
( spl0_28
| spl0_29
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f15932,f48,f663,f660]) ).
thf(f16109,plain,
( spl0_146
| spl0_37
| ~ spl0_35
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f16033,f8212,f750,f826,f7542]) ).
thf(f16110,plain,
( ~ spl0_216
| ~ spl0_4
| spl0_16
| spl0_218 ),
inference(avatar_split_clause,[],[f16107,f13591,f168,f61,f13572]) ).
thf(f16111,plain,
( spl0_207
| ~ spl0_159
| ~ spl0_4
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f15851,f13370,f61,f7836,f13416]) ).
thf(f16113,plain,
( ~ spl0_156
| spl0_154
| ~ spl0_4
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f15811,f6441,f61,f7816,f7824]) ).
thf(f16114,plain,
( spl0_213
| ~ spl0_218
| spl0_146
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f15902,f13586,f7542,f13591,f13538]) ).
thf(f16115,plain,
( spl0_154
| spl0_155
| ~ spl0_2
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f15931,f6448,f48,f7819,f7816]) ).
thf(f16116,plain,
( spl0_154
| spl0_210
| ~ spl0_2
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f15930,f13370,f48,f13429,f7816]) ).
thf(f16142,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_4
| ~ spl0_146 ),
inference(constrained_superposition,[],[f15597,f7543]) ).
thf(f16145,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f29,f7543]) ).
thf(f16147,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f16145]) ).
thf(f16150,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f16142]) ).
thf(f16152,plain,
( spl0_13
| spl0_145
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f16147,f7542,f7528,f158]) ).
thf(f16155,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_4
| ~ spl0_146
| spl0_158 ),
inference(forward_subsumption_resolution,[],[f16150,f12769]) ).
thf(f16156,plain,
( ~ spl0_38
| ~ spl0_4
| ~ spl0_146
| spl0_158 ),
inference(avatar_split_clause,[],[f16155,f7833,f7542,f61,f914]) ).
cnf(s3,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f94]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_5
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f128]) ).
cnf(s9,plain,
( ~ spl0_3
| spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f175]) ).
cnf(s20,plain,
( ~ spl0_6
| spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f282]) ).
cnf(s22,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(sat_conversion,[],[f316]) ).
cnf(s26,plain,
( spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f595]) ).
cnf(s31,plain,
~ spl0_23,
inference(sat_conversion,[],[f658]) ).
cnf(s40,plain,
( ~ spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f706]) ).
cnf(s43,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f754]) ).
cnf(s46,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(sat_conversion,[],[f798]) ).
cnf(s47,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f801]) ).
cnf(s48,plain,
( ~ spl0_1
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f803]) ).
cnf(s49,plain,
( spl0_5
| spl0_22 ),
inference(sat_conversion,[],[f805]) ).
cnf(s51,plain,
( ~ spl0_9
| ~ spl0_20 ),
inference(sat_conversion,[],[f809]) ).
cnf(s53,plain,
( spl0_12
| spl0_27
| spl0_35 ),
inference(sat_conversion,[],[f837]) ).
cnf(s57,plain,
( spl0_25
| ~ spl0_27 ),
inference(sat_conversion,[],[f902]) ).
cnf(s58,plain,
( ~ spl0_4
| ~ spl0_36
| ~ spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f919]) ).
cnf(s61,plain,
( ~ spl0_6
| ~ spl0_16 ),
inference(sat_conversion,[],[f931]) ).
cnf(s64,plain,
( ~ spl0_11
| ~ spl0_17
| spl0_37
| spl0_41 ),
inference(sat_conversion,[],[f1297]) ).
cnf(s66,plain,
( ~ spl0_28
| ~ spl0_37 ),
inference(sat_conversion,[],[f1312]) ).
cnf(s74,plain,
( ~ spl0_11
| ~ spl0_41 ),
inference(sat_conversion,[],[f2027]) ).
cnf(s79,plain,
( ~ spl0_6
| spl0_38 ),
inference(sat_conversion,[],[f2134]) ).
cnf(s80,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_43 ),
inference(sat_conversion,[],[f2140]) ).
cnf(s84,plain,
( spl0_19
| ~ spl0_27 ),
inference(sat_conversion,[],[f2669]) ).
cnf(s85,plain,
( spl0_45
| spl0_46 ),
inference(sat_conversion,[],[f2694]) ).
cnf(s86,plain,
( ~ spl0_9
| ~ spl0_22
| spl0_35
| ~ spl0_45 ),
inference(sat_conversion,[],[f2725]) ).
cnf(s88,plain,
( ~ spl0_6
| ~ spl0_9
| ~ spl0_22
| ~ spl0_45 ),
inference(sat_conversion,[],[f2728]) ).
cnf(s89,plain,
( spl0_1
| ~ spl0_9
| spl0_47 ),
inference(sat_conversion,[],[f2800]) ).
cnf(s92,plain,
( ~ spl0_9
| spl0_48 ),
inference(sat_conversion,[],[f2816]) ).
cnf(s97,plain,
( ~ spl0_9
| spl0_37
| ~ spl0_44
| spl0_55 ),
inference(sat_conversion,[],[f3114]) ).
cnf(s104,plain,
( ~ spl0_44
| ~ spl0_55 ),
inference(sat_conversion,[],[f4107]) ).
cnf(s108,plain,
( ~ spl0_2
| spl0_28
| spl0_35
| spl0_63 ),
inference(sat_conversion,[],[f4121]) ).
cnf(s110,plain,
( ~ spl0_4
| spl0_16
| spl0_23
| spl0_28
| spl0_35 ),
inference(sat_conversion,[],[f4123]) ).
cnf(s114,plain,
( spl0_28
| spl0_32 ),
inference(sat_conversion,[],[f4137]) ).
cnf(s128,plain,
( ~ spl0_9
| spl0_28
| ~ spl0_49 ),
inference(sat_conversion,[],[f4182]) ).
cnf(s135,plain,
( ~ spl0_37
| spl0_61 ),
inference(sat_conversion,[],[f4228]) ).
cnf(s137,plain,
( ~ spl0_37
| ~ spl0_43 ),
inference(sat_conversion,[],[f4232]) ).
cnf(s144,plain,
( ~ spl0_4
| ~ spl0_37
| ~ spl0_38
| ~ spl0_61 ),
inference(sat_conversion,[],[f4281]) ).
cnf(s145,plain,
( ~ spl0_37
| spl0_45
| spl0_77 ),
inference(sat_conversion,[],[f4351]) ).
cnf(s148,plain,
( ~ spl0_4
| ~ spl0_37
| spl0_79 ),
inference(sat_conversion,[],[f4365]) ).
cnf(s168,plain,
( ~ spl0_4
| ~ spl0_37
| spl0_86 ),
inference(sat_conversion,[],[f4886]) ).
cnf(s169,plain,
( spl0_39
| ~ spl0_86 ),
inference(sat_conversion,[],[f4891]) ).
cnf(s199,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_39
| ~ spl0_45
| ~ spl0_79
| spl0_80
| spl0_103 ),
inference(sat_conversion,[],[f5867]) ).
cnf(s229,plain,
~ spl0_80,
inference(sat_conversion,[],[f6043]) ).
cnf(s280,plain,
( ~ spl0_44
| ~ spl0_112 ),
inference(sat_conversion,[],[f6508]) ).
cnf(s282,plain,
( spl0_23
| ~ spl0_79
| ~ spl0_112 ),
inference(sat_conversion,[],[f6525]) ).
cnf(s299,plain,
~ spl0_122,
inference(sat_conversion,[],[f6699]) ).
cnf(s304,plain,
( ~ spl0_9
| spl0_120 ),
inference(sat_conversion,[],[f6739]) ).
cnf(s307,plain,
( ~ spl0_110
| ~ spl0_118
| spl0_127
| ~ spl0_128 ),
inference(sat_conversion,[],[f6784]) ).
cnf(s319,plain,
~ spl0_129,
inference(sat_conversion,[],[f6901]) ).
cnf(s323,plain,
( ~ spl0_9
| spl0_132 ),
inference(sat_conversion,[],[f6945]) ).
cnf(s324,plain,
( ~ spl0_109
| ~ spl0_134 ),
inference(sat_conversion,[],[f6953]) ).
cnf(s345,plain,
( spl0_114
| spl0_135 ),
inference(sat_conversion,[],[f7191]) ).
cnf(s355,plain,
( spl0_6
| ~ spl0_110
| ~ spl0_125
| ~ spl0_131 ),
inference(sat_conversion,[],[f7471]) ).
cnf(s356,plain,
( spl0_6
| ~ spl0_110
| ~ spl0_125
| ~ spl0_134 ),
inference(sat_conversion,[],[f7472]) ).
cnf(s357,plain,
( ~ spl0_111
| ~ spl0_118 ),
inference(sat_conversion,[],[f7474]) ).
cnf(s364,plain,
( ~ spl0_110
| ~ spl0_125
| spl0_127
| ~ spl0_128 ),
inference(sat_conversion,[],[f7545]) ).
cnf(s368,plain,
( ~ spl0_9
| ~ spl0_109
| ~ spl0_132
| ~ spl0_145 ),
inference(sat_conversion,[],[f7597]) ).
cnf(s369,plain,
( ~ spl0_9
| ~ spl0_37
| ~ spl0_48
| ~ spl0_145 ),
inference(sat_conversion,[],[f7599]) ).
cnf(s371,plain,
( ~ spl0_44
| ~ spl0_127 ),
inference(sat_conversion,[],[f7628]) ).
cnf(s372,plain,
( ~ spl0_39
| ~ spl0_127 ),
inference(sat_conversion,[],[f7638]) ).
cnf(s375,plain,
( ~ spl0_79
| spl0_122
| ~ spl0_127 ),
inference(sat_conversion,[],[f7643]) ).
cnf(s377,plain,
( spl0_113
| ~ spl0_127 ),
inference(sat_conversion,[],[f7653]) ).
cnf(s381,plain,
( ~ spl0_113
| ~ spl0_134 ),
inference(sat_conversion,[],[f7669]) ).
cnf(s384,plain,
( ~ spl0_9
| spl0_44
| ~ spl0_48
| spl0_49 ),
inference(sat_conversion,[],[f7676]) ).
cnf(s386,plain,
( spl0_28
| spl0_44
| ~ spl0_47
| ~ spl0_48 ),
inference(sat_conversion,[],[f7683]) ).
cnf(s399,plain,
( ~ spl0_112
| spl0_146 ),
inference(sat_conversion,[],[f7750]) ).
cnf(s407,plain,
( ~ spl0_9
| ~ spl0_26
| ~ spl0_111
| ~ spl0_120
| spl0_157 ),
inference(sat_conversion,[],[f7830]) ).
cnf(s414,plain,
( ~ spl0_4
| ~ spl0_111
| spl0_154
| spl0_158 ),
inference(sat_conversion,[],[f7847]) ).
cnf(s418,plain,
( ~ spl0_9
| spl0_44
| ~ spl0_45 ),
inference(sat_conversion,[],[f7904]) ).
cnf(s425,plain,
( ~ spl0_127
| ~ spl0_154 ),
inference(sat_conversion,[],[f7947]) ).
cnf(s426,plain,
( ~ spl0_127
| ~ spl0_157 ),
inference(sat_conversion,[],[f7950]) ).
cnf(s427,plain,
( ~ spl0_108
| ~ spl0_127 ),
inference(sat_conversion,[],[f7956]) ).
cnf(s430,plain,
( ~ spl0_35
| ~ spl0_46
| spl0_112
| ~ spl0_114
| ~ spl0_146 ),
inference(sat_conversion,[],[f7994]) ).
cnf(s431,plain,
( ~ spl0_46
| spl0_61
| spl0_112
| ~ spl0_114
| ~ spl0_146 ),
inference(sat_conversion,[],[f7995]) ).
cnf(s438,plain,
( ~ spl0_9
| ~ spl0_46
| ~ spl0_113
| spl0_127
| spl0_163 ),
inference(sat_conversion,[],[f8056]) ).
cnf(s440,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_113
| ~ spl0_132 ),
inference(sat_conversion,[],[f8077]) ).
cnf(s441,plain,
( ~ spl0_46
| spl0_61
| ~ spl0_113
| spl0_127
| ~ spl0_128 ),
inference(sat_conversion,[],[f8078]) ).
cnf(s445,plain,
( spl0_12
| spl0_23
| spl0_27
| spl0_35 ),
inference(sat_conversion,[],[f8088]) ).
cnf(s446,plain,
( ~ spl0_27
| spl0_57 ),
inference(sat_conversion,[],[f8101]) ).
cnf(s448,plain,
( ~ spl0_13
| spl0_35 ),
inference(sat_conversion,[],[f8116]) ).
cnf(s449,plain,
( spl0_35
| spl0_165 ),
inference(sat_conversion,[],[f8117]) ).
cnf(s454,plain,
( ~ spl0_9
| ~ spl0_26
| ~ spl0_109
| ~ spl0_132
| spl0_166 ),
inference(sat_conversion,[],[f8214]) ).
cnf(s458,plain,
( ~ spl0_47
| ~ spl0_109
| ~ spl0_120
| spl0_158 ),
inference(sat_conversion,[],[f8221]) ).
cnf(s465,plain,
( spl0_122
| ~ spl0_148
| ~ spl0_166 ),
inference(sat_conversion,[],[f8376]) ).
cnf(s466,plain,
( spl0_129
| ~ spl0_148
| ~ spl0_157 ),
inference(sat_conversion,[],[f8378]) ).
cnf(s474,plain,
( ~ spl0_19
| ~ spl0_110
| spl0_127 ),
inference(sat_conversion,[],[f8515]) ).
cnf(s475,plain,
( spl0_6
| ~ spl0_19
| ~ spl0_25
| spl0_36 ),
inference(sat_conversion,[],[f8516]) ).
cnf(s477,plain,
( ~ spl0_9
| ~ spl0_46
| ~ spl0_109
| spl0_127
| spl0_163 ),
inference(sat_conversion,[],[f8528]) ).
cnf(s481,plain,
( spl0_6
| ~ spl0_25
| spl0_146
| ~ spl0_166 ),
inference(sat_conversion,[],[f8560]) ).
cnf(s483,plain,
( spl0_154
| spl0_159 ),
inference(sat_conversion,[],[f8562]) ).
cnf(s489,plain,
( ~ spl0_4
| spl0_16
| ~ spl0_135
| ~ spl0_156 ),
inference(sat_conversion,[],[f8569]) ).
cnf(s490,plain,
( spl0_16
| spl0_38 ),
inference(sat_conversion,[],[f8570]) ).
cnf(s494,plain,
( ~ spl0_118
| spl0_166 ),
inference(sat_conversion,[],[f8591]) ).
cnf(s497,plain,
( ~ spl0_9
| spl0_114
| spl0_122
| spl0_125 ),
inference(sat_conversion,[],[f8613]) ).
cnf(s500,plain,
( ~ spl0_9
| spl0_128
| spl0_129
| spl0_131 ),
inference(sat_conversion,[],[f8641]) ).
cnf(s501,plain,
( spl0_6
| ~ spl0_9
| ~ spl0_131
| spl0_137 ),
inference(sat_conversion,[],[f8648]) ).
cnf(s505,plain,
( ~ spl0_9
| ~ spl0_108
| spl0_112
| spl0_115 ),
inference(sat_conversion,[],[f8684]) ).
cnf(s508,plain,
( ~ spl0_9
| ~ spl0_46
| ~ spl0_111
| spl0_112
| spl0_162 ),
inference(sat_conversion,[],[f8717]) ).
cnf(s509,plain,
( spl0_6
| ~ spl0_25
| ~ spl0_46
| ~ spl0_111
| ~ spl0_125 ),
inference(sat_conversion,[],[f8776]) ).
cnf(s511,plain,
( ~ spl0_4
| spl0_16
| spl0_128
| ~ spl0_159 ),
inference(sat_conversion,[],[f8779]) ).
cnf(s513,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_90 ),
inference(sat_conversion,[],[f8800]) ).
cnf(s516,plain,
( ~ spl0_6
| ~ spl0_35 ),
inference(sat_conversion,[],[f8822]) ).
cnf(s518,plain,
( ~ spl0_19
| ~ spl0_46
| ~ spl0_108
| ~ spl0_111
| spl0_112 ),
inference(sat_conversion,[],[f8888]) ).
cnf(s531,plain,
( ~ spl0_9
| ~ spl0_22
| spl0_76
| ~ spl0_146 ),
inference(sat_conversion,[],[f9003]) ).
cnf(s540,plain,
( ~ spl0_9
| ~ spl0_35
| spl0_37
| spl0_148 ),
inference(sat_conversion,[],[f9116]) ).
cnf(s547,plain,
( ~ spl0_110
| ~ spl0_112 ),
inference(sat_conversion,[],[f9168]) ).
cnf(s548,plain,
( ~ spl0_112
| ~ spl0_158 ),
inference(sat_conversion,[],[f9178]) ).
cnf(s551,plain,
( ~ spl0_112
| spl0_156 ),
inference(sat_conversion,[],[f9189]) ).
cnf(s552,plain,
( ~ spl0_4
| ~ spl0_38
| ~ spl0_112
| ~ spl0_146 ),
inference(sat_conversion,[],[f9190]) ).
cnf(s569,plain,
( spl0_6
| ~ spl0_9
| ~ spl0_25
| spl0_153 ),
inference(sat_conversion,[],[f9341]) ).
cnf(s573,plain,
( ~ spl0_19
| ~ spl0_27
| spl0_169 ),
inference(sat_conversion,[],[f9392]) ).
cnf(s574,plain,
( ~ spl0_9
| spl0_37
| ~ spl0_157
| spl0_161 ),
inference(sat_conversion,[],[f9399]) ).
cnf(s578,plain,
( spl0_12
| ~ spl0_108
| spl0_134
| ~ spl0_169 ),
inference(sat_conversion,[],[f9524]) ).
cnf(s582,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f9555]) ).
cnf(s583,plain,
( ~ spl0_35
| spl0_37
| spl0_113
| ~ spl0_157 ),
inference(sat_conversion,[],[f9557]) ).
cnf(s587,plain,
( ~ spl0_13
| ~ spl0_108
| ~ spl0_169 ),
inference(sat_conversion,[],[f9568]) ).
cnf(s592,plain,
( spl0_23
| ~ spl0_77
| ~ spl0_146 ),
inference(sat_conversion,[],[f9596]) ).
cnf(s594,plain,
( ~ spl0_134
| spl0_154 ),
inference(sat_conversion,[],[f9614]) ).
cnf(s596,plain,
( ~ spl0_2
| spl0_16
| ~ spl0_61
| spl0_63 ),
inference(sat_conversion,[],[f9619]) ).
cnf(s598,plain,
( ~ spl0_7
| ~ spl0_134 ),
inference(sat_conversion,[],[f9631]) ).
cnf(s605,plain,
( ~ spl0_111
| ~ spl0_146
| ~ spl0_174 ),
inference(sat_conversion,[],[f9712]) ).
cnf(s606,plain,
( ~ spl0_22
| ~ spl0_174
| spl0_177 ),
inference(sat_conversion,[],[f9717]) ).
cnf(s611,plain,
( ~ spl0_37
| spl0_151
| ~ spl0_155 ),
inference(sat_conversion,[],[f9762]) ).
cnf(s612,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f9763]) ).
cnf(s619,plain,
( ~ spl0_14
| ~ spl0_37
| ~ spl0_111 ),
inference(sat_conversion,[],[f9851]) ).
cnf(s627,plain,
( ~ spl0_7
| spl0_44
| ~ spl0_63 ),
inference(sat_conversion,[],[f9919]) ).
cnf(s629,plain,
( ~ spl0_111
| ~ spl0_119
| spl0_160 ),
inference(sat_conversion,[],[f9959]) ).
cnf(s631,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_108
| spl0_129 ),
inference(sat_conversion,[],[f10033]) ).
cnf(s632,plain,
( ~ spl0_1
| ~ spl0_13
| spl0_129
| ~ spl0_157 ),
inference(sat_conversion,[],[f10034]) ).
cnf(s633,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_176 ),
inference(sat_conversion,[],[f10035]) ).
cnf(s637,plain,
( ~ spl0_8
| spl0_129
| ~ spl0_154 ),
inference(sat_conversion,[],[f10052]) ).
cnf(s642,plain,
( ~ spl0_32
| ~ spl0_37
| ~ spl0_145
| spl0_181 ),
inference(sat_conversion,[],[f10088]) ).
cnf(s645,plain,
( ~ spl0_13
| ~ spl0_16
| spl0_112
| spl0_122
| ~ spl0_181 ),
inference(sat_conversion,[],[f10106]) ).
cnf(s646,plain,
( ~ spl0_45
| ~ spl0_146
| ~ spl0_165
| spl0_166 ),
inference(sat_conversion,[],[f10110]) ).
cnf(s650,plain,
( ~ spl0_39
| ~ spl0_108
| spl0_112
| ~ spl0_181 ),
inference(sat_conversion,[],[f10168]) ).
cnf(s651,plain,
( ~ spl0_109
| ~ spl0_145
| spl0_167 ),
inference(sat_conversion,[],[f10187]) ).
cnf(s655,plain,
( ~ spl0_37
| spl0_183 ),
inference(sat_conversion,[],[f10201]) ).
cnf(s656,plain,
( ~ spl0_37
| spl0_183 ),
inference(sat_conversion,[],[f10205]) ).
cnf(s657,plain,
( ~ spl0_37
| ~ spl0_109
| ~ spl0_145
| ~ spl0_183 ),
inference(sat_conversion,[],[f10212]) ).
cnf(s658,plain,
( ~ spl0_8
| spl0_122
| ~ spl0_158 ),
inference(sat_conversion,[],[f10219]) ).
cnf(s664,plain,
( ~ spl0_3
| ~ spl0_113
| spl0_177 ),
inference(sat_conversion,[],[f10273]) ).
cnf(s666,plain,
( ~ spl0_110
| spl0_127
| ~ spl0_177
| ~ spl0_181 ),
inference(sat_conversion,[],[f10287]) ).
cnf(s669,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_135 ),
inference(sat_conversion,[],[f10309]) ).
cnf(s670,plain,
( ~ spl0_37
| ~ spl0_61
| ~ spl0_135
| ~ spl0_145 ),
inference(sat_conversion,[],[f10311]) ).
cnf(s685,plain,
( ~ spl0_13
| spl0_128 ),
inference(sat_conversion,[],[f10424]) ).
cnf(s686,plain,
( spl0_5
| ~ spl0_12
| ~ spl0_120
| ~ spl0_146 ),
inference(sat_conversion,[],[f10473]) ).
cnf(s687,plain,
( spl0_5
| ~ spl0_12
| ~ spl0_48
| ~ spl0_61 ),
inference(sat_conversion,[],[f10474]) ).
cnf(s690,plain,
( ~ spl0_12
| ~ spl0_22
| ~ spl0_37
| ~ spl0_61 ),
inference(sat_conversion,[],[f10507]) ).
cnf(s691,plain,
( spl0_157
| spl0_182 ),
inference(sat_conversion,[],[f10508]) ).
cnf(s692,plain,
( spl0_157
| spl0_182
| spl0_184 ),
inference(sat_conversion,[],[f10512]) ).
cnf(s697,plain,
( ~ spl0_12
| ~ spl0_37
| ~ spl0_61
| ~ spl0_146
| spl0_151 ),
inference(sat_conversion,[],[f10556]) ).
cnf(s704,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_37
| ~ spl0_61 ),
inference(sat_conversion,[],[f10675]) ).
cnf(s712,plain,
~ spl0_151,
inference(sat_conversion,[],[f10740]) ).
cnf(s718,plain,
( spl0_120
| spl0_181 ),
inference(sat_conversion,[],[f10774]) ).
cnf(s723,plain,
( spl0_8
| spl0_9
| ~ spl0_13
| ~ spl0_16 ),
inference(sat_conversion,[],[f10834]) ).
cnf(s727,plain,
( spl0_156
| spl0_158 ),
inference(sat_conversion,[],[f10857]) ).
cnf(s729,plain,
( ~ spl0_7
| spl0_114
| spl0_122
| ~ spl0_167 ),
inference(sat_conversion,[],[f10901]) ).
cnf(s732,plain,
( ~ spl0_7
| ~ spl0_118 ),
inference(sat_conversion,[],[f10919]) ).
cnf(s733,plain,
( ~ spl0_118
| spl0_158 ),
inference(sat_conversion,[],[f10923]) ).
cnf(s737,plain,
( ~ spl0_6
| ~ spl0_114 ),
inference(sat_conversion,[],[f10945]) ).
cnf(s740,plain,
( ~ spl0_45
| ~ spl0_113
| ~ spl0_127
| ~ spl0_165 ),
inference(sat_conversion,[],[f10966]) ).
cnf(s741,plain,
( ~ spl0_176
| spl0_177 ),
inference(sat_conversion,[],[f10968]) ).
cnf(s745,plain,
( ~ spl0_6
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f11026]) ).
cnf(s746,plain,
( ~ spl0_6
| ~ spl0_29
| spl0_44
| ~ spl0_165 ),
inference(sat_conversion,[],[f11032]) ).
cnf(s748,plain,
( ~ spl0_6
| spl0_122
| spl0_125
| ~ spl0_160 ),
inference(sat_conversion,[],[f11036]) ).
cnf(s749,plain,
( ~ spl0_110
| spl0_127
| ~ spl0_158
| ~ spl0_177 ),
inference(sat_conversion,[],[f11093]) ).
cnf(s753,plain,
( ~ spl0_108
| spl0_112
| ~ spl0_177
| ~ spl0_181 ),
inference(sat_conversion,[],[f11158]) ).
cnf(s757,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_37
| spl0_39
| ~ spl0_165 ),
inference(sat_conversion,[],[f11250]) ).
cnf(s758,plain,
( spl0_9
| ~ spl0_39
| ~ spl0_110
| ~ spl0_158 ),
inference(sat_conversion,[],[f11260]) ).
cnf(s759,plain,
( ~ spl0_1
| spl0_177 ),
inference(sat_conversion,[],[f11270]) ).
cnf(s760,plain,
( ~ spl0_1
| spl0_181 ),
inference(sat_conversion,[],[f11272]) ).
cnf(s763,plain,
( ~ spl0_3
| ~ spl0_111
| spl0_181 ),
inference(sat_conversion,[],[f11314]) ).
cnf(s764,plain,
( ~ spl0_20
| spl0_37
| ~ spl0_158
| ~ spl0_166 ),
inference(sat_conversion,[],[f11315]) ).
cnf(s765,plain,
( ~ spl0_20
| spl0_37
| ~ spl0_44
| ~ spl0_158 ),
inference(sat_conversion,[],[f11316]) ).
cnf(s769,plain,
( ~ spl0_45
| ~ spl0_111
| spl0_166
| ~ spl0_182 ),
inference(sat_conversion,[],[f11324]) ).
cnf(s770,plain,
( spl0_166
| spl0_186 ),
inference(sat_conversion,[],[f11325]) ).
cnf(s774,plain,
( ~ spl0_165
| spl0_173
| ~ spl0_188 ),
inference(sat_conversion,[],[f11380]) ).
cnf(s776,plain,
( ~ spl0_6
| ~ spl0_109
| spl0_129
| ~ spl0_188 ),
inference(sat_conversion,[],[f11392]) ).
cnf(s778,plain,
( ~ spl0_1
| spl0_112
| ~ spl0_173 ),
inference(sat_conversion,[],[f11416]) ).
cnf(s779,plain,
( ~ spl0_1
| ~ spl0_20
| spl0_37
| ~ spl0_157 ),
inference(sat_conversion,[],[f11417]) ).
cnf(s780,plain,
( ~ spl0_45
| ~ spl0_109
| spl0_157
| ~ spl0_186 ),
inference(sat_conversion,[],[f11419]) ).
cnf(s781,plain,
( ~ spl0_1
| spl0_37
| ~ spl0_166 ),
inference(sat_conversion,[],[f11420]) ).
cnf(s782,plain,
( ~ spl0_27
| ~ spl0_61 ),
inference(sat_conversion,[],[f11428]) ).
cnf(s785,plain,
( ~ spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f11432]) ).
cnf(s792,plain,
( ~ spl0_112
| ~ spl0_125 ),
inference(sat_conversion,[],[f11480]) ).
cnf(s793,plain,
( ~ spl0_3
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f11482]) ).
cnf(s794,plain,
( spl0_20
| spl0_48 ),
inference(sat_conversion,[],[f11483]) ).
cnf(s799,plain,
( ~ spl0_12
| ~ spl0_111
| spl0_129
| spl0_131
| ~ spl0_146 ),
inference(sat_conversion,[],[f11567]) ).
cnf(s802,plain,
( ~ spl0_3
| ~ spl0_146
| spl0_181 ),
inference(sat_conversion,[],[f11609]) ).
cnf(s807,plain,
( ~ spl0_6
| ~ spl0_135
| ~ spl0_155 ),
inference(sat_conversion,[],[f11656]) ).
cnf(s808,plain,
( ~ spl0_19
| ~ spl0_28
| spl0_127
| ~ spl0_177 ),
inference(sat_conversion,[],[f11671]) ).
cnf(s809,plain,
( ~ spl0_20
| spl0_37
| ~ spl0_154
| ~ spl0_157 ),
inference(sat_conversion,[],[f11685]) ).
cnf(s811,plain,
( ~ spl0_12
| ~ spl0_61
| ~ spl0_146
| spl0_166 ),
inference(sat_conversion,[],[f11701]) ).
cnf(s812,plain,
( spl0_9
| ~ spl0_19
| ~ spl0_28
| ~ spl0_154 ),
inference(sat_conversion,[],[f11704]) ).
cnf(s813,plain,
( ~ spl0_108
| spl0_112
| ~ spl0_154
| ~ spl0_181 ),
inference(sat_conversion,[],[f11706]) ).
cnf(s817,plain,
( ~ spl0_6
| spl0_20
| ~ spl0_38
| ~ spl0_45 ),
inference(sat_conversion,[],[f11819]) ).
cnf(s818,plain,
( ~ spl0_135
| ~ spl0_145
| spl0_188 ),
inference(sat_conversion,[],[f11835]) ).
cnf(s819,plain,
( ~ spl0_6
| ~ spl0_145
| spl0_188 ),
inference(sat_conversion,[],[f11836]) ).
cnf(s820,plain,
( spl0_9
| ~ spl0_19
| ~ spl0_28
| ~ spl0_158 ),
inference(sat_conversion,[],[f11837]) ).
cnf(s821,plain,
( ~ spl0_109
| ~ spl0_113
| ~ spl0_175 ),
inference(sat_conversion,[],[f11839]) ).
cnf(s825,plain,
( ~ spl0_20
| spl0_37
| ~ spl0_166
| ~ spl0_181 ),
inference(sat_conversion,[],[f11929]) ).
cnf(s828,plain,
( ~ spl0_125
| spl0_151
| ~ spl0_153 ),
inference(sat_conversion,[],[f11944]) ).
cnf(s832,plain,
( ~ spl0_110
| spl0_127
| ~ spl0_166
| ~ spl0_190 ),
inference(sat_conversion,[],[f11966]) ).
cnf(s835,plain,
( ~ spl0_6
| spl0_44
| ~ spl0_45 ),
inference(sat_conversion,[],[f12013]) ).
cnf(s836,plain,
( ~ spl0_44
| ~ spl0_108
| spl0_112
| ~ spl0_173 ),
inference(sat_conversion,[],[f12037]) ).
cnf(s838,plain,
( ~ spl0_2
| spl0_23
| spl0_158
| spl0_173
| spl0_192 ),
inference(sat_conversion,[],[f12076]) ).
cnf(s840,plain,
( ~ spl0_6
| ~ spl0_165
| ~ spl0_192 ),
inference(sat_conversion,[],[f12096]) ).
cnf(s841,plain,
( ~ spl0_48
| spl0_181
| ~ spl0_192 ),
inference(sat_conversion,[],[f12097]) ).
cnf(s842,plain,
( ~ spl0_134
| spl0_157 ),
inference(sat_conversion,[],[f12110]) ).
cnf(s845,plain,
( spl0_9
| ~ spl0_28
| ~ spl0_158
| ~ spl0_166 ),
inference(sat_conversion,[],[f12127]) ).
cnf(s853,plain,
( ~ spl0_28
| spl0_112
| ~ spl0_173
| ~ spl0_181 ),
inference(sat_conversion,[],[f12227]) ).
cnf(s854,plain,
( ~ spl0_35
| spl0_37
| spl0_113
| ~ spl0_157 ),
inference(sat_conversion,[],[f12228]) ).
cnf(s864,plain,
( ~ spl0_38
| spl0_181
| ~ spl0_188 ),
inference(sat_conversion,[],[f12320]) ).
cnf(s865,plain,
( ~ spl0_110
| spl0_127
| ~ spl0_173
| ~ spl0_190 ),
inference(sat_conversion,[],[f12321]) ).
cnf(s871,plain,
( ~ spl0_4
| spl0_28
| ~ spl0_159
| ~ spl0_183 ),
inference(sat_conversion,[],[f12381]) ).
cnf(s875,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_131
| ~ spl0_154 ),
inference(sat_conversion,[],[f12473]) ).
cnf(s881,plain,
( ~ spl0_108
| spl0_112
| ~ spl0_157
| ~ spl0_173 ),
inference(sat_conversion,[],[f12520]) ).
cnf(s882,plain,
( ~ spl0_63
| ~ spl0_113
| spl0_157 ),
inference(sat_conversion,[],[f12521]) ).
cnf(s888,plain,
( ~ spl0_12
| ~ spl0_61
| ~ spl0_113
| spl0_157 ),
inference(sat_conversion,[],[f12537]) ).
cnf(s890,plain,
( ~ spl0_61
| ~ spl0_174
| spl0_190 ),
inference(sat_conversion,[],[f12541]) ).
cnf(s891,plain,
( spl0_9
| ~ spl0_16
| ~ spl0_28
| spl0_61 ),
inference(sat_conversion,[],[f12542]) ).
cnf(s892,plain,
( ~ spl0_2
| spl0_154
| ~ spl0_183
| spl0_191 ),
inference(sat_conversion,[],[f12543]) ).
cnf(s893,plain,
( spl0_25
| spl0_61 ),
inference(sat_conversion,[],[f12552]) ).
cnf(s895,plain,
( ~ spl0_12
| ~ spl0_61
| spl0_129
| spl0_131
| ~ spl0_183 ),
inference(sat_conversion,[],[f12580]) ).
cnf(s896,plain,
( spl0_9
| ~ spl0_16
| ~ spl0_28
| ~ spl0_35 ),
inference(sat_conversion,[],[f12612]) ).
cnf(s897,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_131
| ~ spl0_177 ),
inference(sat_conversion,[],[f12625]) ).
cnf(s898,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_12
| ~ spl0_61
| ~ spl0_177
| ~ spl0_183 ),
inference(sat_conversion,[],[f12627]) ).
cnf(s899,plain,
( ~ spl0_48
| spl0_177
| ~ spl0_191 ),
inference(sat_conversion,[],[f12628]) ).
cnf(s901,plain,
( spl0_6
| ~ spl0_108
| ~ spl0_125
| ~ spl0_131 ),
inference(sat_conversion,[],[f12661]) ).
cnf(s902,plain,
( spl0_6
| ~ spl0_12
| ~ spl0_61
| ~ spl0_108
| ~ spl0_125
| ~ spl0_183 ),
inference(sat_conversion,[],[f12662]) ).
cnf(s903,plain,
( ~ spl0_32
| ~ spl0_119
| spl0_177
| spl0_190 ),
inference(sat_conversion,[],[f12700]) ).
cnf(s905,plain,
( ~ spl0_32
| spl0_177
| ~ spl0_194 ),
inference(sat_conversion,[],[f12751]) ).
cnf(s907,plain,
( spl0_9
| ~ spl0_28
| ~ spl0_90
| spl0_122
| ~ spl0_173 ),
inference(sat_conversion,[],[f12773]) ).
cnf(s911,plain,
( ~ spl0_57
| spl0_184
| spl0_190 ),
inference(sat_conversion,[],[f12791]) ).
cnf(s927,plain,
( spl0_23
| spl0_35
| ~ spl0_76
| ~ spl0_183 ),
inference(sat_conversion,[],[f12946]) ).
cnf(s928,plain,
( ~ spl0_76
| spl0_114
| spl0_122
| ~ spl0_146 ),
inference(sat_conversion,[],[f12947]) ).
cnf(s931,plain,
( ~ spl0_108
| ~ spl0_162
| spl0_184 ),
inference(sat_conversion,[],[f12969]) ).
cnf(s932,plain,
( ~ spl0_103
| ~ spl0_108
| spl0_122
| spl0_151 ),
inference(sat_conversion,[],[f12994]) ).
cnf(s933,plain,
( ~ spl0_103
| ~ spl0_110
| spl0_122
| spl0_129 ),
inference(sat_conversion,[],[f12995]) ).
cnf(s941,plain,
( ~ spl0_108
| ~ spl0_161
| ~ spl0_166 ),
inference(sat_conversion,[],[f13139]) ).
cnf(s948,plain,
( ~ spl0_110
| spl0_151
| ~ spl0_163 ),
inference(sat_conversion,[],[f13156]) ).
cnf(s962,plain,
( spl0_151
| spl0_201
| spl0_202 ),
inference(sat_conversion,[],[f13375]) ).
cnf(s963,plain,
( spl0_151
| spl0_203
| spl0_204 ),
inference(sat_conversion,[],[f13382]) ).
cnf(s964,plain,
( spl0_127
| ~ spl0_128
| ~ spl0_202
| spl0_205 ),
inference(sat_conversion,[],[f13390]) ).
cnf(s970,plain,
( ~ spl0_45
| ~ spl0_182
| ~ spl0_201
| spl0_211 ),
inference(sat_conversion,[],[f13435]) ).
cnf(s971,plain,
( ~ spl0_4
| spl0_154
| ~ spl0_201
| spl0_207 ),
inference(sat_conversion,[],[f13437]) ).
cnf(s972,plain,
( ~ spl0_115
| ~ spl0_173
| spl0_184 ),
inference(sat_conversion,[],[f13444]) ).
cnf(s977,plain,
( ~ spl0_12
| ~ spl0_28
| ~ spl0_61
| ~ spl0_205
| spl0_213
| ~ spl0_214 ),
inference(sat_conversion,[],[f13543]) ).
cnf(s980,plain,
( ~ spl0_45
| spl0_157
| ~ spl0_204
| ~ spl0_209 ),
inference(sat_conversion,[],[f13570]) ).
cnf(s983,plain,
( ~ spl0_108
| ~ spl0_203
| spl0_213
| ~ spl0_217 ),
inference(sat_conversion,[],[f13588]) ).
cnf(s995,plain,
~ spl0_184,
inference(sat_conversion,[],[f13716]) ).
cnf(s997,plain,
( ~ spl0_12
| ~ spl0_146
| ~ spl0_205
| ~ spl0_220 ),
inference(sat_conversion,[],[f13738]) ).
cnf(s998,plain,
( ~ spl0_4
| spl0_158
| ~ spl0_216
| ~ spl0_220 ),
inference(sat_conversion,[],[f13740]) ).
cnf(s999,plain,
( ~ spl0_211
| ~ spl0_213 ),
inference(sat_conversion,[],[f13748]) ).
cnf(s1000,plain,
( ~ spl0_207
| ~ spl0_213 ),
inference(sat_conversion,[],[f13750]) ).
cnf(s1001,plain,
( ~ spl0_202
| ~ spl0_213 ),
inference(sat_conversion,[],[f13752]) ).
cnf(s1002,plain,
( ~ spl0_205
| ~ spl0_215 ),
inference(sat_conversion,[],[f13760]) ).
cnf(s1003,plain,
( ~ spl0_201
| ~ spl0_215 ),
inference(sat_conversion,[],[f13766]) ).
cnf(s1005,plain,
( spl0_9
| ~ spl0_16
| spl0_205
| ~ spl0_207 ),
inference(sat_conversion,[],[f13770]) ).
cnf(s1009,plain,
( ~ spl0_110
| spl0_127
| ~ spl0_128
| spl0_146 ),
inference(sat_conversion,[],[f13848]) ).
cnf(s1010,plain,
( spl0_125
| spl0_146 ),
inference(sat_conversion,[],[f13849]) ).
cnf(s1012,plain,
( ~ spl0_145
| spl0_173
| spl0_196 ),
inference(sat_conversion,[],[f13851]) ).
cnf(s1014,plain,
( ~ spl0_20
| spl0_37
| ~ spl0_207
| ~ spl0_211 ),
inference(sat_conversion,[],[f13853]) ).
cnf(s1015,plain,
( ~ spl0_108
| spl0_112
| ~ spl0_114
| ~ spl0_131 ),
inference(sat_conversion,[],[f13855]) ).
cnf(s1019,plain,
( ~ spl0_145
| spl0_180
| spl0_181 ),
inference(sat_conversion,[],[f13858]) ).
cnf(s1020,plain,
( spl0_6
| ~ spl0_108
| spl0_113
| ~ spl0_125 ),
inference(sat_conversion,[],[f13859]) ).
cnf(s1022,plain,
( ~ spl0_114
| spl0_198 ),
inference(sat_conversion,[],[f13875]) ).
cnf(s1024,plain,
( spl0_207
| spl0_216 ),
inference(sat_conversion,[],[f13877]) ).
cnf(s1027,plain,
( ~ spl0_12
| ~ spl0_61
| ~ spl0_205
| spl0_211 ),
inference(sat_conversion,[],[f13880]) ).
cnf(s1028,plain,
( spl0_209
| spl0_211 ),
inference(sat_conversion,[],[f13881]) ).
cnf(s1029,plain,
( spl0_45
| spl0_118
| spl0_151
| spl0_173 ),
inference(sat_conversion,[],[f13882]) ).
cnf(s1034,plain,
( spl0_110
| spl0_111
| spl0_151 ),
inference(sat_conversion,[],[f13894]) ).
cnf(s1035,plain,
( ~ spl0_25
| ~ spl0_137
| spl0_184 ),
inference(sat_conversion,[],[f13902]) ).
cnf(s1040,plain,
( spl0_9
| ~ spl0_16
| spl0_146
| ~ spl0_158 ),
inference(sat_conversion,[],[f13918]) ).
cnf(s1052,plain,
( ~ spl0_26
| ~ spl0_111
| spl0_157
| spl0_160 ),
inference(sat_conversion,[],[f14082]) ).
cnf(s1053,plain,
( ~ spl0_29
| ~ spl0_111
| spl0_157
| ~ spl0_186 ),
inference(sat_conversion,[],[f14083]) ).
cnf(s1055,plain,
( ~ spl0_61
| ~ spl0_135
| ~ spl0_196 ),
inference(sat_conversion,[],[f14130]) ).
cnf(s1058,plain,
( spl0_9
| ~ spl0_16
| ~ spl0_158
| ~ spl0_198 ),
inference(sat_conversion,[],[f14222]) ).
cnf(s1062,plain,
( spl0_128
| spl0_129
| ~ spl0_205
| ~ spl0_208 ),
inference(sat_conversion,[],[f14288]) ).
cnf(s1064,plain,
( ~ spl0_108
| spl0_112
| ~ spl0_173
| ~ spl0_190 ),
inference(sat_conversion,[],[f14314]) ).
cnf(s1068,plain,
( ~ spl0_12
| ~ spl0_111
| ~ spl0_113
| ~ spl0_146 ),
inference(sat_conversion,[],[f14320]) ).
cnf(s1069,plain,
( ~ spl0_12
| ~ spl0_22
| ~ spl0_205
| spl0_207 ),
inference(sat_conversion,[],[f14321]) ).
cnf(s1070,plain,
( spl0_108
| spl0_109
| spl0_151 ),
inference(sat_conversion,[],[f14322]) ).
cnf(s1071,plain,
( ~ spl0_22
| ~ spl0_165
| ~ spl0_193 ),
inference(sat_conversion,[],[f14325]) ).
cnf(s1073,plain,
( spl0_61
| spl0_127
| ~ spl0_128
| ~ spl0_190 ),
inference(sat_conversion,[],[f14327]) ).
cnf(s1076,plain,
( spl0_20
| ~ spl0_22
| ~ spl0_63 ),
inference(sat_conversion,[],[f14330]) ).
cnf(s1077,plain,
( ~ spl0_4
| spl0_154
| ~ spl0_204
| spl0_207 ),
inference(sat_conversion,[],[f14332]) ).
cnf(s1085,plain,
( ~ spl0_109
| ~ spl0_132
| ~ spl0_180 ),
inference(sat_conversion,[],[f14431]) ).
cnf(s1089,plain,
( ~ spl0_190
| ~ spl0_203
| spl0_213
| ~ spl0_223 ),
inference(sat_conversion,[],[f14454]) ).
cnf(s1091,plain,
( ~ spl0_12
| ~ spl0_61
| ~ spl0_205
| ~ spl0_224 ),
inference(sat_conversion,[],[f14480]) ).
cnf(s1094,plain,
( ~ spl0_4
| spl0_28
| spl0_207
| ~ spl0_224 ),
inference(sat_conversion,[],[f14488]) ).
cnf(s1097,plain,
( ~ spl0_167
| ~ spl0_204
| spl0_226
| spl0_227 ),
inference(sat_conversion,[],[f14552]) ).
cnf(s1098,plain,
( spl0_112
| ~ spl0_181
| ~ spl0_207
| ~ spl0_226 ),
inference(sat_conversion,[],[f14570]) ).
cnf(s1100,plain,
( ~ spl0_120
| spl0_154
| ~ spl0_167 ),
inference(sat_conversion,[],[f14572]) ).
cnf(s1101,plain,
( spl0_127
| ~ spl0_177
| ~ spl0_202
| ~ spl0_207 ),
inference(sat_conversion,[],[f14573]) ).
cnf(s1103,plain,
( ~ spl0_61
| ~ spl0_219
| spl0_223 ),
inference(sat_conversion,[],[f14576]) ).
cnf(s1104,plain,
( ~ spl0_120
| ~ spl0_155
| spl0_177 ),
inference(sat_conversion,[],[f14577]) ).
cnf(s1107,plain,
( ~ spl0_156
| ~ spl0_160
| spl0_177 ),
inference(sat_conversion,[],[f14583]) ).
cnf(s1108,plain,
( spl0_157
| ~ spl0_167
| ~ spl0_189 ),
inference(sat_conversion,[],[f14584]) ).
cnf(s1109,plain,
( ~ spl0_4
| ~ spl0_109
| spl0_154
| spl0_158 ),
inference(sat_conversion,[],[f14587]) ).
cnf(s1111,plain,
( ~ spl0_16
| ~ spl0_20
| ~ spl0_35
| spl0_37 ),
inference(sat_conversion,[],[f14600]) ).
cnf(s1114,plain,
( spl0_132
| spl0_177 ),
inference(sat_conversion,[],[f14627]) ).
cnf(s1117,plain,
( ~ spl0_2
| ~ spl0_135
| spl0_158
| spl0_175 ),
inference(sat_conversion,[],[f14645]) ).
cnf(s1119,plain,
( ~ spl0_113
| ~ spl0_135
| ~ spl0_167 ),
inference(sat_conversion,[],[f14664]) ).
cnf(s1126,plain,
( spl0_184
| ~ spl0_227 ),
inference(sat_conversion,[],[f14768]) ).
cnf(s1132,plain,
( ~ spl0_2
| ~ spl0_204
| spl0_207
| spl0_210 ),
inference(sat_conversion,[],[f14890]) ).
cnf(s1133,plain,
( ~ spl0_113
| ~ spl0_204
| ~ spl0_219 ),
inference(sat_conversion,[],[f14892]) ).
cnf(s1135,plain,
( ~ spl0_12
| ~ spl0_113
| ~ spl0_204
| ~ spl0_205 ),
inference(sat_conversion,[],[f14895]) ).
cnf(s1141,plain,
( ~ spl0_16
| spl0_127
| ~ spl0_128
| ~ spl0_177 ),
inference(sat_conversion,[],[f14923]) ).
cnf(s1142,plain,
( ~ spl0_108
| spl0_112
| spl0_113
| ~ spl0_114 ),
inference(sat_conversion,[],[f14926]) ).
cnf(s1144,plain,
( ~ spl0_61
| spl0_173
| ~ spl0_175 ),
inference(sat_conversion,[],[f14928]) ).
cnf(s1145,plain,
( spl0_173
| spl0_189 ),
inference(sat_conversion,[],[f14929]) ).
cnf(s1149,plain,
( spl0_12
| spl0_118
| ~ spl0_135 ),
inference(sat_conversion,[],[f14958]) ).
cnf(s1150,plain,
( spl0_23
| spl0_173
| spl0_189 ),
inference(sat_conversion,[],[f14965]) ).
cnf(s1152,plain,
( ~ spl0_2
| spl0_128
| spl0_154
| spl0_174 ),
inference(sat_conversion,[],[f14983]) ).
cnf(s1159,plain,
( ~ spl0_4
| spl0_28
| spl0_158
| ~ spl0_189 ),
inference(sat_conversion,[],[f15019]) ).
cnf(s1165,plain,
( spl0_12
| spl0_215
| spl0_218 ),
inference(sat_conversion,[],[f15062]) ).
cnf(s1166,plain,
( spl0_128
| ~ spl0_210
| spl0_218 ),
inference(sat_conversion,[],[f15170]) ).
cnf(s1167,plain,
( ~ spl0_132
| ~ spl0_210
| spl0_214 ),
inference(sat_conversion,[],[f15172]) ).
cnf(s1169,plain,
( spl0_6
| ~ spl0_25
| spl0_113
| ~ spl0_190 ),
inference(sat_conversion,[],[f15183]) ).
cnf(s1170,plain,
( ~ spl0_35
| spl0_213
| ~ spl0_218
| ~ spl0_223 ),
inference(sat_conversion,[],[f15184]) ).
cnf(s1173,plain,
( spl0_9
| ~ spl0_16
| spl0_113
| ~ spl0_154 ),
inference(sat_conversion,[],[f15209]) ).
cnf(s1180,plain,
( spl0_13
| ~ spl0_113
| spl0_119 ),
inference(sat_conversion,[],[f15270]) ).
cnf(s1182,plain,
( ~ spl0_35
| spl0_112
| ~ spl0_114
| ~ spl0_173 ),
inference(sat_conversion,[],[f15284]) ).
cnf(s1183,plain,
( ~ spl0_29
| spl0_128
| spl0_157
| ~ spl0_165 ),
inference(sat_conversion,[],[f15285]) ).
cnf(s1186,plain,
( spl0_205
| ~ spl0_213 ),
inference(sat_conversion,[],[f15317]) ).
cnf(s1190,plain,
( ~ spl0_109
| spl0_128
| ~ spl0_188 ),
inference(sat_conversion,[],[f15391]) ).
cnf(s1193,plain,
( spl0_9
| ~ spl0_28
| ~ spl0_154
| ~ spl0_190 ),
inference(sat_conversion,[],[f15418]) ).
cnf(s1196,plain,
( ~ spl0_48
| spl0_173
| ~ spl0_180 ),
inference(sat_conversion,[],[f15425]) ).
cnf(s1197,plain,
( ~ spl0_176
| spl0_181 ),
inference(sat_conversion,[],[f15440]) ).
cnf(s1198,plain,
( spl0_5
| ~ spl0_12
| spl0_185 ),
inference(sat_conversion,[],[f15441]) ).
cnf(s1199,plain,
( ~ spl0_8
| spl0_23
| ~ spl0_28 ),
inference(sat_conversion,[],[f15445]) ).
cnf(s1200,plain,
( ~ spl0_16
| spl0_112
| ~ spl0_114
| ~ spl0_181 ),
inference(sat_conversion,[],[f15446]) ).
cnf(s1201,plain,
( spl0_20
| ~ spl0_45
| spl0_193 ),
inference(sat_conversion,[],[f15447]) ).
cnf(s1202,plain,
( ~ spl0_165
| spl0_190
| ~ spl0_222 ),
inference(sat_conversion,[],[f15448]) ).
cnf(s1206,plain,
( ~ spl0_112
| ~ spl0_166 ),
inference(sat_conversion,[],[f15481]) ).
cnf(s1207,plain,
( spl0_13
| spl0_45
| ~ spl0_61 ),
inference(sat_conversion,[],[f15482]) ).
cnf(s1208,plain,
( ~ spl0_1
| spl0_20 ),
inference(sat_conversion,[],[f15491]) ).
cnf(s1210,plain,
( ~ spl0_7
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f15497]) ).
cnf(s1211,plain,
( ~ spl0_7
| spl0_61 ),
inference(sat_conversion,[],[f15503]) ).
cnf(s1212,plain,
( ~ spl0_38
| spl0_177
| ~ spl0_222 ),
inference(sat_conversion,[],[f15504]) ).
cnf(s1217,plain,
( spl0_12
| spl0_128
| spl0_134 ),
inference(sat_conversion,[],[f15542]) ).
cnf(s1218,plain,
( ~ spl0_26
| spl0_128
| spl0_157
| spl0_222 ),
inference(sat_conversion,[],[f15543]) ).
cnf(s1220,plain,
( ~ spl0_26
| spl0_166
| ~ spl0_189
| spl0_196 ),
inference(sat_conversion,[],[f15551]) ).
cnf(s1227,plain,
( spl0_129
| spl0_223
| spl0_224 ),
inference(sat_conversion,[],[f15617]) ).
cnf(s1229,plain,
( ~ spl0_5
| spl0_112
| ~ spl0_114
| ~ spl0_181 ),
inference(sat_conversion,[],[f15632]) ).
cnf(s1230,plain,
( ~ spl0_113
| ~ spl0_132
| ~ spl0_185 ),
inference(sat_conversion,[],[f15641]) ).
cnf(s1233,plain,
( spl0_184
| spl0_217
| spl0_220 ),
inference(sat_conversion,[],[f15670]) ).
cnf(s1235,plain,
( ~ spl0_109
| ~ spl0_183
| ~ spl0_196 ),
inference(sat_conversion,[],[f15691]) ).
cnf(s1236,plain,
( ~ spl0_35
| spl0_37
| spl0_205
| ~ spl0_211 ),
inference(sat_conversion,[],[f15693]) ).
cnf(s1243,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_28
| spl0_61 ),
inference(sat_conversion,[],[f15767]) ).
cnf(s1246,plain,
( ~ spl0_32
| spl0_181
| ~ spl0_196 ),
inference(sat_conversion,[],[f15770]) ).
cnf(s1249,plain,
( spl0_183
| spl0_184
| spl0_190 ),
inference(sat_conversion,[],[f15800]) ).
cnf(s1252,plain,
( ~ spl0_109
| spl0_118
| spl0_119 ),
inference(sat_conversion,[],[f15816]) ).
cnf(s1253,plain,
( ~ spl0_26
| ~ spl0_109
| spl0_166
| spl0_167 ),
inference(sat_conversion,[],[f15817]) ).
cnf(s1254,plain,
( ~ spl0_111
| spl0_134
| spl0_145 ),
inference(sat_conversion,[],[f15826]) ).
cnf(s1257,plain,
( ~ spl0_160
| ~ spl0_201
| spl0_217
| spl0_227 ),
inference(sat_conversion,[],[f15896]) ).
cnf(s1260,plain,
( ~ spl0_158
| spl0_213
| ~ spl0_214
| ~ spl0_217 ),
inference(sat_conversion,[],[f15907]) ).
cnf(s1261,plain,
( ~ spl0_2
| spl0_16
| ~ spl0_113
| spl0_174 ),
inference(sat_conversion,[],[f15937]) ).
cnf(s1263,plain,
( ~ spl0_26
| spl0_211
| spl0_218
| spl0_228 ),
inference(sat_conversion,[],[f15949]) ).
cnf(s1265,plain,
( ~ spl0_38
| spl0_214
| ~ spl0_228 ),
inference(sat_conversion,[],[f15990]) ).
cnf(s1266,plain,
( ~ spl0_174
| ~ spl0_201
| ~ spl0_205 ),
inference(sat_conversion,[],[f15992]) ).
cnf(s1267,plain,
( ~ spl0_26
| spl0_157
| ~ spl0_201
| spl0_208 ),
inference(sat_conversion,[],[f15993]) ).
cnf(s1268,plain,
( ~ spl0_160
| ~ spl0_186
| spl0_190 ),
inference(sat_conversion,[],[f15994]) ).
cnf(s1271,plain,
( ~ spl0_2
| spl0_16
| ~ spl0_146
| spl0_175 ),
inference(sat_conversion,[],[f16016]) ).
cnf(s1272,plain,
( ~ spl0_26
| ~ spl0_135
| spl0_166
| spl0_188 ),
inference(sat_conversion,[],[f16027]) ).
cnf(s1273,plain,
( spl0_122
| spl0_183
| spl0_190 ),
inference(sat_conversion,[],[f16064]) ).
cnf(s1274,plain,
( spl0_45
| spl0_134
| ~ spl0_183 ),
inference(sat_conversion,[],[f16077]) ).
cnf(s1275,plain,
( ~ spl0_26
| spl0_157
| ~ spl0_183
| spl0_194 ),
inference(sat_conversion,[],[f16078]) ).
cnf(s1277,plain,
( ~ spl0_2
| spl0_16
| ~ spl0_205
| spl0_219 ),
inference(sat_conversion,[],[f16093]) ).
cnf(s1279,plain,
( ~ spl0_185
| ~ spl0_205
| spl0_214 ),
inference(sat_conversion,[],[f16102]) ).
cnf(s1280,plain,
( ~ spl0_2
| spl0_207
| spl0_218
| spl0_219 ),
inference(sat_conversion,[],[f16103]) ).
cnf(s1281,plain,
( spl0_61
| spl0_112
| ~ spl0_114
| ~ spl0_173 ),
inference(sat_conversion,[],[f16104]) ).
cnf(s1283,plain,
( ~ spl0_2
| ~ spl0_109
| spl0_155
| spl0_158 ),
inference(sat_conversion,[],[f16106]) ).
cnf(s1284,plain,
( ~ spl0_2
| spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f16108]) ).
cnf(s1285,plain,
( ~ spl0_35
| spl0_37
| spl0_146
| ~ spl0_166 ),
inference(sat_conversion,[],[f16109]) ).
cnf(s1286,plain,
( ~ spl0_4
| spl0_16
| ~ spl0_216
| spl0_218 ),
inference(sat_conversion,[],[f16110]) ).
cnf(s1287,plain,
( ~ spl0_4
| ~ spl0_159
| ~ spl0_201
| spl0_207 ),
inference(sat_conversion,[],[f16111]) ).
cnf(s1289,plain,
( ~ spl0_4
| ~ spl0_109
| spl0_154
| ~ spl0_156 ),
inference(sat_conversion,[],[f16113]) ).
cnf(s1290,plain,
( spl0_146
| spl0_213
| ~ spl0_217
| ~ spl0_218 ),
inference(sat_conversion,[],[f16114]) ).
cnf(s1291,plain,
( ~ spl0_2
| ~ spl0_111
| spl0_154
| spl0_155 ),
inference(sat_conversion,[],[f16115]) ).
cnf(s1292,plain,
( ~ spl0_2
| spl0_154
| ~ spl0_201
| spl0_210 ),
inference(sat_conversion,[],[f16116]) ).
cnf(s1294,plain,
( spl0_13
| spl0_145
| ~ spl0_146 ),
inference(sat_conversion,[],[f16152]) ).
cnf(s1297,plain,
( ~ spl0_4
| ~ spl0_38
| ~ spl0_146
| spl0_158 ),
inference(sat_conversion,[],[f16156]) ).
cnf(s1298,plain,
~ spl0_227,
inference(rat,[],[s1126,s995]) ).
cnf(s1301,plain,
( ~ spl0_115
| ~ spl0_173 ),
inference(rat,[],[s972,s995]) ).
cnf(s1313,plain,
( ~ spl0_108
| ~ spl0_162 ),
inference(rat,[],[s931,s995]) ).
cnf(s1316,plain,
( ~ spl0_57
| spl0_190 ),
inference(rat,[],[s911,s995]) ).
cnf(s1319,plain,
( ~ spl0_12
| ~ spl0_37
| ~ spl0_61
| ~ spl0_146 ),
inference(rat,[],[s697,s712]) ).
cnf(s1320,plain,
( spl0_157
| spl0_182 ),
inference(rat,[],[s692,s995]) ).
cnf(s1324,plain,
( ~ spl0_37
| ~ spl0_155 ),
inference(rat,[],[s611,s712]) ).
cnf(s1341,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_39
| ~ spl0_45
| ~ spl0_79
| spl0_103 ),
inference(rat,[],[s199,s229]) ).
cnf(s1366,plain,
( ~ spl0_109
| spl0_45
| spl0_61
| spl0_16
| spl0_12
| spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s345,s1281,s1149,s1029,s494,s481,s551,s1271,s1289,s821,s425,s1169,s1073,s1273,s1217,s1274,s324,s893,s712,s299]) ).
cnf(s1367,plain,
( ~ spl0_113
| spl0_127
| ~ spl0_46
| spl0_61
| spl0_12 ),
inference(rat,[],[s1217,s441,s381]) ).
cnf(s1368,plain,
( spl0_45
| spl0_61
| ~ spl0_35
| spl0_16
| spl0_12
| spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1274,s1249,s842,s1169,s854,s1367,s427,s1070,s1366,s85,s893,s135,s995,s712]) ).
cnf(s1369,plain,
( ~ spl0_135
| spl0_188
| ~ spl0_25
| ~ spl0_26
| spl0_13
| spl0_6 ),
inference(rat,[],[s1294,s481,s818,s1272]) ).
cnf(s1370,plain,
( spl0_112
| ~ spl0_177
| ~ spl0_108
| ~ spl0_32
| ~ spl0_25
| ~ spl0_35
| ~ spl0_26
| ~ spl0_38
| spl0_13
| spl0_6 ),
inference(rat,[],[s481,s1294,s1220,s1012,s1150,s1182,s345,s1369,s864,s1246,s753,s31]) ).
cnf(s1371,plain,
( ~ spl0_112
| ~ spl0_38
| ~ spl0_4 ),
inference(rat,[],[s552,s399]) ).
cnf(s1372,plain,
( spl0_146
| ~ spl0_108
| spl0_61
| spl0_13
| spl0_12
| spl0_6 ),
inference(rat,[],[s629,s1034,s1268,s1009,s1073,s1217,s381,s1180,s770,s1020,s481,s1010,s893,s427,s712]) ).
cnf(s1373,plain,
( ~ spl0_174
| ~ spl0_158
| ~ spl0_146
| spl0_127
| ~ spl0_22 ),
inference(rat,[],[s1034,s749,s605,s606,s712]) ).
cnf(s1374,plain,
( ~ spl0_108
| spl0_61
| ~ spl0_35
| spl0_16
| spl0_13
| spl0_12
| spl0_6
| ~ spl0_22
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1034,s307,s357,s1149,s1217,s345,s842,s1142,s854,s1261,s1373,s1297,s1372,s427,s1371,s490,s135,s712]) ).
cnf(s1375,plain,
( spl0_146
| ~ spl0_128
| ~ spl0_109
| ~ spl0_45
| spl0_61
| spl0_6 ),
inference(rat,[],[s629,s1034,s1268,s1009,s1073,s426,s1252,s780,s494,s770,s481,s893,s712]) ).
cnf(s1376,plain,
( spl0_61
| spl0_27
| spl0_16
| spl0_13
| spl0_12
| spl0_9
| spl0_6
| ~ spl0_22
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1034,s357,s749,s1149,s905,s345,s114,s1281,s845,s1275,s1145,s770,s1249,s1108,s780,s1169,s854,s377,s821,s651,s1297,s1271,s1294,s1375,s1217,s324,s1070,s1374,s1368,s135,s893,s1371,s490,s26,s445,s712,s995,s31]) ).
cnf(s1377,plain,
( ~ spl0_202
| ~ spl0_128
| spl0_127
| ~ spl0_61
| ~ spl0_35
| spl0_16
| spl0_12
| ~ spl0_2 ),
inference(rat,[],[s1170,s1103,s1165,s1277,s1002,s964,s1001]) ).
cnf(s1378,plain,
( spl0_146
| ~ spl0_108
| ~ spl0_61
| ~ spl0_35
| spl0_16
| spl0_13
| spl0_12
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1165,s1290,s1186,s1003,s1257,s1266,s962,s1377,s629,s1034,s1009,s1217,s1261,s381,s1180,s1020,s1010,s427,s1298,s712]) ).
cnf(s1379,plain,
( ~ spl0_146
| ~ spl0_20
| ~ spl0_61
| ~ spl0_35
| spl0_16
| spl0_12
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1149,s345,s494,s1182,s764,s1144,s1297,s1271,s1371,s144,s490]) ).
cnf(s1380,plain,
( spl0_27
| spl0_16
| spl0_13
| spl0_12
| spl0_9
| spl0_6
| ~ spl0_22
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1165,s1290,s1186,s1003,s1257,s1266,s629,s962,s1034,s1261,s1377,s1009,s854,s426,s1217,s780,s324,s1252,s1070,s494,s770,s1378,s1285,s1379,s1076,s144,s596,s1207,s1376,s445,s490,s1298,s712,s31]) ).
cnf(s1381,plain,
( spl0_16
| spl0_13
| spl0_12
| spl0_9
| spl0_6
| ~ spl0_22
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1070,s1372,s1109,s1297,s812,s820,s84,s782,s785,s1380,s490,s712]) ).
cnf(s1382,plain,
( spl0_146
| ~ spl0_35
| ~ spl0_16
| spl0_12
| spl0_9
| ~ spl0_4 ),
inference(rat,[],[s1182,s345,s1145,s1149,s1159,s733,s1040,s399,s896]) ).
cnf(s1383,plain,
( ~ spl0_37
| ~ spl0_145
| ~ spl0_32
| ~ spl0_61
| ~ spl0_16
| ~ spl0_4 ),
inference(rat,[],[s1200,s282,s345,s148,s642,s670,s31]) ).
cnf(s1384,plain,
( spl0_112
| ~ spl0_190
| ~ spl0_108
| ~ spl0_145
| ~ spl0_32
| ~ spl0_61
| ~ spl0_16 ),
inference(rat,[],[s1200,s345,s1246,s1055,s1012,s1064]) ).
cnf(s1385,plain,
( ~ spl0_113
| ~ spl0_108
| ~ spl0_145
| ~ spl0_32
| ~ spl0_61
| ~ spl0_16
| spl0_13
| spl0_12 ),
inference(rat,[],[s629,s1034,s1107,s547,s551,s1384,s903,s1141,s1217,s381,s1180,s427,s712]) ).
cnf(s1386,plain,
( ~ spl0_108
| ~ spl0_61
| ~ spl0_16
| spl0_13
| spl0_12
| spl0_9
| ~ spl0_4 ),
inference(rat,[],[s1034,s769,s547,s1206,s1384,s1273,s871,s483,s1320,s1173,s854,s1385,s1207,s1383,s1294,s1382,s114,s896,s445,s782,s712,s299,s31]) ).
cnf(s1387,plain,
( ~ spl0_113
| ~ spl0_128
| ~ spl0_167
| ~ spl0_109
| ~ spl0_35
| ~ spl0_16
| spl0_13
| spl0_9
| ~ spl0_4 ),
inference(rat,[],[s629,s1034,s1107,s547,s1141,s1182,s425,s1145,s1109,s1159,s727,s1058,s1022,s345,s1119,s1180,s896,s712]) ).
cnf(s1388,plain,
( ~ spl0_61
| ~ spl0_16
| spl0_13
| spl0_12
| spl0_9
| ~ spl0_4 ),
inference(rat,[],[s357,s1149,s1034,s345,s865,s1182,s1273,s548,s871,s1145,s1109,s483,s1108,s1173,s854,s377,s1387,s1217,s651,s324,s1070,s1386,s1383,s1294,s1382,s114,s896,s445,s782,s712,s299,s31]) ).
cnf(s1389,plain,
( ~ spl0_113
| spl0_127
| ~ spl0_32
| spl0_61
| ~ spl0_16
| spl0_13
| spl0_12 ),
inference(rat,[],[s903,s1141,s1073,s1217,s381,s1180]) ).
cnf(s1390,plain,
( spl0_113
| spl0_28
| ~ spl0_25
| ~ spl0_16
| spl0_9
| spl0_6
| ~ spl0_4 ),
inference(rat,[],[s871,s1249,s483,s1169,s1173,s995]) ).
cnf(s1391,plain,
( spl0_13
| spl0_12
| ~ spl0_2
| spl0_9
| spl0_6
| ~ spl0_22
| ~ spl0_4 ),
inference(rat,[],[s1387,s651,s1070,s427,s1217,s1389,s381,s1390,s1294,s1382,s445,s114,s785,s891,s893,s1388,s1381,s31,s712]) ).
cnf(s1392,plain,
( ~ spl0_13
| spl0_9
| spl0_8 ),
inference(rat,[],[s723,s40]) ).
cnf(s1393,plain,
( ~ spl0_202
| ~ spl0_128
| ~ spl0_177
| spl0_127
| ~ spl0_12
| ~ spl0_22 ),
inference(rat,[],[s1069,s1101,s964]) ).
cnf(s1394,plain,
( ~ spl0_113
| ~ spl0_108
| ~ spl0_20
| ~ spl0_61
| spl0_16
| ~ spl0_12
| spl0_13
| ~ spl0_22
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1263,s1014,s1265,s1260,s1290,s1186,s1287,s1257,s1266,s962,s1393,s414,s629,s1034,s1009,s1271,s511,s1144,s483,s881,s809,s606,s888,s1261,s1180,s1371,s490,s690,s26,s782,s427,s1298,s712]) ).
cnf(s1395,plain,
( ~ spl0_146
| ~ spl0_20
| spl0_37
| ~ spl0_61
| ~ spl0_38
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s764,s811,s1297]) ).
cnf(s1396,plain,
( ~ spl0_108
| ~ spl0_20
| ~ spl0_61
| spl0_16
| ~ spl0_12
| spl0_13
| spl0_6
| ~ spl0_22
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1020,s1394,s1010,s1395,s690,s490]) ).
cnf(s1397,plain,
( ~ spl0_113
| ~ spl0_109
| ~ spl0_20
| ~ spl0_61
| spl0_16
| ~ spl0_12
| spl0_13
| ~ spl0_22
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1265,s1263,s1014,s1260,s1290,s1186,s1287,s1257,s1266,s629,s962,s1034,s1393,s749,s511,s1109,s483,s809,s426,s606,s888,s1261,s1180,s26,s782,s1395,s690,s490,s1298,s712]) ).
cnf(s1398,plain,
( ~ spl0_35
| ~ spl0_111
| spl0_113
| spl0_146
| spl0_37
| ~ spl0_45 ),
inference(rat,[],[s691,s769,s854,s1285]) ).
cnf(s1399,plain,
( ~ spl0_158
| ~ spl0_217
| ~ spl0_201
| ~ spl0_109
| spl0_146
| ~ spl0_20
| ~ spl0_26
| spl0_37
| ~ spl0_45
| ~ spl0_38
| ~ spl0_4 ),
inference(rat,[],[s1265,s1263,s1260,s1290,s1014,s1000,s971,s809,s780,s770,s764]) ).
cnf(s1400,plain,
( ~ spl0_201
| ~ spl0_160
| ~ spl0_109
| spl0_146
| ~ spl0_20
| ~ spl0_26
| spl0_37
| ~ spl0_45
| spl0_16
| ~ spl0_4 ),
inference(rat,[],[s1286,s1024,s1290,s1014,s999,s970,s1320,s809,s1109,s1399,s1257,s490,s1298]) ).
cnf(s1401,plain,
( ~ spl0_128
| spl0_113
| ~ spl0_109
| ~ spl0_20
| spl0_37
| ~ spl0_45
| ~ spl0_61
| spl0_16
| ~ spl0_185
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s977,s1279,s964,s1001,s962,s1400,s110,s1398,s629,s1252,s357,s1034,s1009,s26,s782,s1395,s490,s377,s712,s31]) ).
cnf(s1402,plain,
( ~ spl0_61
| spl0_16
| spl0_13
| spl0_9
| spl0_6
| spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1193,s1202,s110,s449,s1285,s770,s1218,s780,s809,s483,s511,s1401,s1397,s1070,s1396,s1395,s794,s26,s690,s687,s1207,s782,s1198,s1391,s49,s490,s31,s712]) ).
cnf(s1403,plain,
( ~ spl0_128
| ~ spl0_119
| ~ spl0_186
| spl0_146
| spl0_127
| spl0_61 ),
inference(rat,[],[s629,s1034,s1268,s1009,s1073,s712]) ).
cnf(s1404,plain,
( ~ spl0_111
| ~ spl0_182
| spl0_146
| ~ spl0_25
| spl0_6 ),
inference(rat,[],[s85,s509,s769,s1010,s481]) ).
cnf(s1405,plain,
( ~ spl0_202
| spl0_158
| ~ spl0_177
| spl0_146
| spl0_127
| spl0_16
| ~ spl0_4 ),
inference(rat,[],[s1233,s1290,s998,s1286,s1024,s1101,s1001,s995]) ).
cnf(s1406,plain,
( spl0_157
| spl0_128
| ~ spl0_177
| ~ spl0_174
| spl0_146
| spl0_127
| spl0_61
| spl0_16
| spl0_9
| spl0_6
| ~ spl0_4 ),
inference(rat,[],[s1236,s1266,s970,s962,s1405,s449,s1202,s1193,s1159,s1029,s1150,s1281,s1218,s345,s26,s489,s84,s727,s474,s749,s1034,s1404,s1320,s1371,s490,s135,s494,s481,s893,s483,s511,s712,s31]) ).
cnf(s1407,plain,
( spl0_146
| ~ spl0_108
| spl0_61
| spl0_16
| spl0_13
| spl0_9
| spl0_6
| ~ spl0_22
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1034,s1254,s749,s1019,s838,s1196,s841,s794,s881,s809,s1406,s483,s511,s1403,s753,s606,s1261,s381,s1180,s770,s1020,s481,s1010,s1371,s490,s893,s135,s427,s712,s31]) ).
cnf(s1408,plain,
( ~ spl0_202
| ~ spl0_128
| ~ spl0_158
| ~ spl0_146
| spl0_127
| ~ spl0_185
| ~ spl0_12 ),
inference(rat,[],[s1233,s1260,s997,s1279,s964,s1001,s995]) ).
cnf(s1409,plain,
( ~ spl0_108
| spl0_16
| spl0_13
| spl0_9
| spl0_6
| spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1014,s971,s970,s962,s1408,s1320,s854,s449,s646,s794,s845,s899,s871,s892,s1274,s1249,s1169,s1152,s483,s594,s1261,s753,s813,s1373,s718,s1297,s686,s1407,s427,s1198,s1391,s49,s1371,s490,s893,s135,s1402,s712,s995]) ).
cnf(s1410,plain,
( ~ spl0_202
| spl0_28
| ~ spl0_177
| spl0_127
| spl0_16
| ~ spl0_4 ),
inference(rat,[],[s1170,s1227,s1286,s1094,s1024,s1101,s1001,s110,s319,s31]) ).
cnf(s1411,plain,
( ~ spl0_111
| ~ spl0_177
| ~ spl0_174
| spl0_188
| spl0_127
| ~ spl0_119
| ~ spl0_186
| spl0_146
| spl0_134
| spl0_61
| spl0_16
| spl0_9
| ~ spl0_4 ),
inference(rat,[],[s1265,s1263,s1260,s1290,s1236,s1186,s1266,s1257,s962,s1410,s1159,s26,s1150,s110,s785,s1281,s1193,s345,s1268,s818,s629,s1254,s1371,s490,s135,s483,s511,s1403,s1298,s712,s31]) ).
cnf(s1412,plain,
( ~ spl0_113
| spl0_127
| spl0_146
| ~ spl0_109
| spl0_61
| spl0_16
| spl0_9
| spl0_6
| ~ spl0_22
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1281,s838,s345,s841,s1117,s666,s749,s1034,s1411,s794,s809,s1406,s606,s821,s1261,s1371,s490,s135,s324,s1190,s483,s511,s1403,s1252,s494,s770,s481,s893,s31,s712]) ).
cnf(s1413,plain,
( spl0_127
| spl0_146
| ~ spl0_109
| spl0_61
| spl0_16
| spl0_9
| spl0_6
| ~ spl0_22
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1071,s449,s1201,s854,s809,s780,s1274,s1249,s1169,s1412,s483,s511,s1403,s135,s324,s770,s1252,s494,s481,s893,s995]) ).
cnf(s1414,plain,
( spl0_146
| ~ spl0_109
| spl0_61
| spl0_16
| spl0_9
| spl0_6
| ~ spl0_22
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1253,s1119,s26,s345,s84,s1281,s475,s1029,s58,s780,s372,s377,s426,s1413,s494,s770,s481,s1371,s490,s893,s712]) ).
cnf(s1415,plain,
( spl0_16
| spl0_13
| spl0_9
| spl0_6
| spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1260,s1257,s1279,s1052,s1236,s999,s1034,s970,s749,s962,s905,s1408,s1275,s1320,s1190,s854,s818,s110,s114,s345,s853,s1281,s26,s1012,s446,s1235,s1274,s1316,s1249,s1169,s377,s821,s718,s1297,s1271,s1294,s686,s1414,s324,s1070,s1409,s135,s893,s1402,s1371,s490,s1198,s1391,s49,s1298,s712,s31,s995]) ).
cnf(s1416,plain,
( ~ spl0_202
| ~ spl0_177
| spl0_154
| spl0_158
| ~ spl0_108
| ~ spl0_4 ),
inference(rat,[],[s983,s1233,s963,s998,s1077,s1024,s1101,s1001,s427,s995,s712]) ).
cnf(s1417,plain,
( spl0_146
| ~ spl0_108
| ~ spl0_20
| spl0_37
| ~ spl0_61
| ~ spl0_16
| ~ spl0_185
| ~ spl0_12
| spl0_9
| spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1005,s971,s1266,s962,s1416,s1152,s1141,s1114,s809,s1230,s888,s1020,s1040,s1010,s427,s712]) ).
cnf(s1418,plain,
( ~ spl0_146
| ~ spl0_61
| ~ spl0_12
| spl0_5 ),
inference(rat,[],[s825,s718,s811,s686,s690,s49,s794,s687]) ).
cnf(s1419,plain,
( ~ spl0_61
| ~ spl0_16
| ~ spl0_12
| spl0_9
| spl0_6
| spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s888,s809,s1173,s1109,s1070,s1417,s1040,s1418,s794,s690,s687,s49,s1198,s712]) ).
cnf(s1420,plain,
( ~ spl0_202
| ~ spl0_35
| ~ spl0_45
| spl0_157
| spl0_158
| ~ spl0_108
| ~ spl0_177
| spl0_37
| ~ spl0_12
| ~ spl0_22
| ~ spl0_4 ),
inference(rat,[],[s963,s980,s983,s1028,s1233,s1236,s998,s1069,s1024,s1101,s1001,s427,s712,s995]) ).
cnf(s1421,plain,
( spl0_146
| ~ spl0_108
| ~ spl0_177
| ~ spl0_113
| spl0_28
| spl0_37
| ~ spl0_16
| ~ spl0_12
| spl0_9
| ~ spl0_22
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1236,s1062,s970,s1267,s962,s1420,s108,s1274,s882,s1320,s1249,s881,s1064,s1145,s1159,s1040,s399,s26,s785,s381,s1141,s427,s319,s712,s995]) ).
cnf(s1422,plain,
( ~ spl0_108
| ~ spl0_113
| spl0_28
| spl0_37
| ~ spl0_16
| ~ spl0_12
| spl0_9
| spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s666,s1034,s718,s1068,s686,s1421,s427,s49,s1114,s1230,s1198,s712]) ).
cnf(s1423,plain,
( spl0_146
| spl0_175
| spl0_61
| ~ spl0_16
| spl0_9
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1281,s345,s1145,s1117,s1159,s1040,s399,s891]) ).
cnf(s1424,plain,
( spl0_9
| spl0_8
| spl0_6
| spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1200,s345,s547,s1119,s1034,s651,s718,s1068,s1294,s686,s1423,s821,s1070,s1422,s1390,s891,s135,s893,s1419,s1415,s1391,s1392,s49,s712]) ).
cnf(s1425,plain,
( spl0_16
| ~ spl0_9
| spl0_6
| spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1374,s86,s1070,s85,s368,s431,s1294,s686,s497,s1010,s828,s569,s893,s1371,s596,s40,s490,s323,s304,s1076,s51,s49,s712,s299]) ).
cnf(s1426,plain,
( ~ spl0_108
| spl0_146
| spl0_145
| spl0_127
| ~ spl0_9
| spl0_6 ),
inference(rat,[],[s1034,s1009,s1254,s500,s381,s901,s1020,s1010,s712,s319]) ).
cnf(s1427,plain,
( ~ spl0_61
| spl0_13
| ~ spl0_9
| spl0_6
| spl0_5 ),
inference(rat,[],[s1034,s1009,s1254,s1217,s324,s1070,s1426,s1294,s369,s97,s104,s371,s418,s687,s1207,s92,s712]) ).
cnf(s1428,plain,
( spl0_13
| ~ spl0_9
| spl0_6
| spl0_5 ),
inference(rat,[],[s97,s104,s418,s1274,s842,s466,s540,s927,s1249,s1073,s427,s1070,s368,s531,s1294,s1010,s500,s828,s501,s569,s1035,s135,s893,s1427,s49,s323,s319,s31,s995,s712]) ).
cnf(s1429,plain,
( spl0_146
| ~ spl0_108
| ~ spl0_13
| ~ spl0_16
| ~ spl0_9
| spl0_6 ),
inference(rat,[],[s1196,s1301,s1019,s505,s645,s1426,s399,s92,s427,s299]) ).
cnf(s1430,plain,
( spl0_37
| ~ spl0_113
| ~ spl0_26
| spl0_127
| ~ spl0_35
| ~ spl0_9 ),
inference(rat,[],[s97,s104,s418,s85,s438,s948,s1034,s407,s466,s540,s304,s712,s319]) ).
cnf(s1431,plain,
( ~ spl0_37
| spl0_77
| spl0_103
| ~ spl0_13
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s1341,s169,s145,s148,s168]) ).
cnf(s1432,plain,
( ~ spl0_26
| spl0_37
| ~ spl0_114
| ~ spl0_108
| ~ spl0_35
| ~ spl0_9 ),
inference(rat,[],[s1034,s547,s407,s1142,s1430,s304,s427,s466,s540,s712,s319]) ).
cnf(s1433,plain,
( ~ spl0_108
| ~ spl0_13
| ~ spl0_16
| ~ spl0_9
| spl0_6
| ~ spl0_22
| ~ spl0_4 ),
inference(rat,[],[s573,s84,s26,s1432,s1431,s928,s531,s592,s1429,s587,s932,s448,s299,s31,s712]) ).
cnf(s1434,plain,
( spl0_146
| ~ spl0_109
| ~ spl0_35
| ~ spl0_128
| ~ spl0_9
| spl0_6
| ~ spl0_4 ),
inference(rat,[],[s454,s26,s1285,s57,s148,s569,s375,s828,s1009,s1010,s1034,s1254,s368,s323,s324,s299,s712]) ).
cnf(s1435,plain,
( ~ spl0_9
| spl0_6
| spl0_5
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s770,s780,s465,s466,s85,s540,s430,s1431,s928,s531,s592,s1434,s933,s1034,s548,s1254,s458,s324,s368,s1070,s1433,s448,s685,s1428,s1425,s89,s304,s323,s612,s49,s299,s319,s31,s712]) ).
cnf(s1436,plain,
( ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s1064,s547,s1273,s1034,s1070,s871,s1145,s414,s1109,s483,s1159,s637,s658,s1199,s299,s712,s319,s31]) ).
cnf(s1437,plain,
( spl0_6
| spl0_5
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1424,s1435,s612,s1436]) ).
cnf(s1438,plain,
( spl0_9
| ~ spl0_158
| ~ spl0_28
| ~ spl0_165
| ~ spl0_135
| ~ spl0_90 ),
inference(rat,[],[s26,s1272,s84,s774,s845,s820,s907,s299]) ).
cnf(s1439,plain,
( ~ spl0_108
| ~ spl0_125
| spl0_45
| ~ spl0_9
| ~ spl0_158
| spl0_37
| spl0_112
| ~ spl0_38 ),
inference(rat,[],[s1218,s574,s26,s941,s84,s1212,s494,s474,s749,s364,s1029,s1034,s1301,s508,s505,s427,s1313,s85,s712]) ).
cnf(s1440,plain,
( spl0_5
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s64,s74,s745,s20,s440,s377,s477,s948,s1034,s1254,s324,s368,s1070,s1439,s85,s497,s88,s323,s1438,s727,s489,s137,s110,s1371,s449,s345,s80,s513,s61,s79,s516,s737,s1437,s49,s712,s299,s31]) ).
cnf(s1443,plain,
( ~ spl0_202
| ~ spl0_177
| ~ spl0_128
| ~ spl0_35
| ~ spl0_61
| spl0_16
| spl0_127
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1170,s1286,s1103,s1024,s1277,s1101,s964,s1001]) ).
cnf(s1444,plain,
( ~ spl0_35
| spl0_173
| ~ spl0_190
| ~ spl0_61
| spl0_37
| spl0_134
| ~ spl0_119
| spl0_146
| spl0_16
| spl0_127
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1265,s1263,s1260,s1290,s1014,s1000,s1257,s971,s962,s1443,s794,s1196,s1104,s1019,s629,s414,s1291,s1254,s1034,s364,s511,s483,s1193,s114,s1246,s718,s1229,s345,s1055,s1220,s1285,s22,s1371,s490,s1010,s26,s782,s1150,s1298,s712,s31]) ).
cnf(s1445,plain,
( ~ spl0_202
| ~ spl0_128
| ~ spl0_12
| ~ spl0_61
| ~ spl0_113
| spl0_16
| spl0_127
| ~ spl0_2 ),
inference(rat,[],[s1089,s963,s1103,s1135,s1277,s964,s1001,s890,s1261,s712]) ).
cnf(s1446,plain,
( ~ spl0_61
| spl0_37
| ~ spl0_113
| spl0_146
| spl0_16
| ~ spl0_108
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1265,s1263,s1260,s1290,s1014,s1000,s1257,s971,s962,s1445,s794,s1196,s1019,s1229,s345,s818,s629,s414,s1254,s1034,s364,s511,s483,s1193,s774,s53,s110,s449,s1444,s1064,s26,s890,s782,s427,s1371,s490,s1010,s1180,s1392,s22,s1436,s381,s1261,s1298,s712,s31]) ).
cnf(s1447,plain,
( spl0_61
| spl0_146
| spl0_16
| ~ spl0_108
| spl0_6
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s1246,s813,s1220,s483,s1150,s511,s1064,s1403,s903,s1370,s26,s770,s110,s114,s785,s481,s1243,s893,s427,s1371,s490,s1180,s1020,s1010,s1392,s22,s1436,s31]) ).
cnf(s1448,plain,
( spl0_146
| spl0_16
| ~ spl0_108
| spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1446,s144,s1447,s1020,s1010,s490]) ).
cnf(s1449,plain,
( ~ spl0_61
| ~ spl0_175
| ~ spl0_145
| spl0_112
| spl0_16
| ~ spl0_108
| ~ spl0_2 ),
inference(rat,[],[s114,s905,s853,s753,s864,s818,s345,s1142,s1275,s882,s1249,s881,s1064,s26,s1144,s596,s782,s490,s995]) ).
cnf(s1450,plain,
( ~ spl0_190
| ~ spl0_32
| spl0_61
| ~ spl0_145
| spl0_16
| ~ spl0_108
| ~ spl0_4 ),
inference(rat,[],[s813,s483,s1246,s511,s1012,s1073,s1064,s427,s1371,s490]) ).
cnf(s1451,plain,
( spl0_16
| ~ spl0_108
| spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s135,s854,s1180,s1275,s903,s1249,s1450,s905,s1370,s26,s110,s114,s785,s1243,s893,s1449,s1271,s1294,s1448,s1371,s490,s1392,s22,s1436,s995,s31]) ).
cnf(s1452,plain,
( ~ spl0_201
| ~ spl0_174
| spl0_154
| ~ spl0_16
| spl0_9
| ~ spl0_4 ),
inference(rat,[],[s1005,s1266,s971]) ).
cnf(s1453,plain,
( spl0_207
| spl0_213
| spl0_154
| spl0_158
| ~ spl0_108
| ~ spl0_4 ),
inference(rat,[],[s983,s1233,s963,s998,s1077,s1024,s995,s712]) ).
cnf(s1454,plain,
( ~ spl0_61
| spl0_146
| ~ spl0_108
| spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1027,s1005,s1014,s1453,s1001,s962,s1452,s1152,s794,s364,s841,s1034,s1229,s414,s345,s1193,s1117,s1159,s838,s1144,s1150,s881,s656,s1273,s888,s902,s1388,s1392,s1436,s427,s399,s1040,s22,s1451,s1020,s1010,s712,s31,s299]) ).
cnf(s1455,plain,
( ~ spl0_202
| ~ spl0_35
| ~ spl0_177
| spl0_128
| spl0_28
| spl0_158
| ~ spl0_108
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1132,s963,s1166,s983,s1170,s1233,s1227,s998,s1094,s1024,s1101,s1001,s427,s712,s995,s319]) ).
cnf(s1456,plain,
( spl0_146
| ~ spl0_108
| spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1236,s1062,s970,s1267,s962,s1455,s1274,s449,s1320,s903,s1249,s1183,s881,s1064,s1403,s1145,s26,s770,s1159,s114,s785,s1284,s481,s1243,s135,s893,s1454,s381,s1180,s1020,s1040,s399,s1010,s1392,s22,s1436,s427,s1451,s319,s712,s995]) ).
cnf(s1457,plain,
( ~ spl0_113
| ~ spl0_12
| ~ spl0_61
| ~ spl0_145
| ~ spl0_146
| ~ spl0_108 ),
inference(rat,[],[s1015,s895,s345,s1249,s1055,s832,s1012,s1034,s881,s1068,s888,s427,s1206,s811,s319,s995,s712]) ).
cnf(s1458,plain,
( ~ spl0_202
| ~ spl0_20
| spl0_158
| ~ spl0_128
| spl0_154
| spl0_37
| ~ spl0_12
| ~ spl0_61
| ~ spl0_108
| ~ spl0_4 ),
inference(rat,[],[s1014,s1027,s1453,s964,s1001,s427]) ).
cnf(s1459,plain,
( ~ spl0_61
| ~ spl0_108
| spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1014,s970,s971,s962,s1458,s794,s845,s899,s1152,s871,s892,s898,s1320,s890,s1249,s881,s1064,s1012,s1055,s345,s483,s1142,s1173,s1457,s1206,s811,s1319,s1388,s1207,s1451,s1294,s1456,s1392,s22,s1436,s712,s995]) ).
cnf(s1460,plain,
( spl0_207
| spl0_213
| spl0_154
| ~ spl0_190
| spl0_28
| ~ spl0_4 ),
inference(rat,[],[s1089,s963,s1227,s1077,s1094,s712,s319]) ).
cnf(s1461,plain,
( ~ spl0_190
| ~ spl0_113
| spl0_28
| spl0_61
| ~ spl0_146
| ~ spl0_16
| ~ spl0_108
| spl0_9
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s983,s963,s1233,s1135,s997,s1005,s1460,s1001,s962,s1452,s1152,s813,s1246,s1012,s1073,s1064,s1294,s547,s1034,s1068,s1389,s114,s427,s1392,s1436,s712,s995]) ).
cnf(s1462,plain,
( ~ spl0_108
| spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1236,s1062,s970,s1267,s962,s1455,s108,s882,s1320,s881,s1012,s1246,s749,s753,s1141,s1274,s903,s1249,s1461,s547,s1034,s1068,s381,s1180,s1389,s26,s1390,s114,s785,s1243,s135,s893,s1459,s1294,s1456,s1451,s427,s1392,s22,s1436,s319,s712,s995]) ).
cnf(s1463,plain,
( ~ spl0_28
| ~ spl0_190
| ~ spl0_113
| ~ spl0_26
| spl0_112
| ~ spl0_109
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s1229,s718,s345,s1100,s1119,s1253,s845,s1109,s1193,s22]) ).
cnf(s1464,plain,
( ~ spl0_113
| ~ spl0_61
| spl0_146
| spl0_16
| ~ spl0_109
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s345,s1119,s1182,s1253,s1444,s1285,s110,s1463,s426,s890,s882,s1261,s1180,s1392,s22,s1436,s324,s1371,s596,s144,s490,s26,s782,s31]) ).
cnf(s1465,plain,
( ~ spl0_28
| ~ spl0_190
| spl0_113
| ~ spl0_26
| spl0_37
| ~ spl0_45
| spl0_146
| spl0_16
| ~ spl0_109
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s1272,s345,s774,s1229,s853,s449,s718,s1398,s1100,s1034,s1253,s364,s845,s511,s1109,s483,s1193,s22,s1371,s490,s1010,s377,s712]) ).
cnf(s1466,plain,
( ~ spl0_35
| spl0_113
| spl0_37
| ~ spl0_45
| spl0_146
| ~ spl0_109 ),
inference(rat,[],[s780,s770,s854,s1285]) ).
cnf(s1467,plain,
( ~ spl0_61
| spl0_146
| spl0_16
| spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s853,s1012,s1019,s1254,s1085,s1034,s1114,s355,s1235,s898,s895,s1249,s1465,s53,s110,s1466,s1464,s26,s144,s1207,s782,s1392,s22,s1436,s324,s1070,s1462,s1371,s490,s1010,s712,s319,s995,s31]) ).
cnf(s1468,plain,
( ~ spl0_114
| ~ spl0_26
| ~ spl0_35
| ~ spl0_32
| spl0_166
| spl0_112
| ~ spl0_5 ),
inference(rat,[],[s1220,s1150,s1246,s1182,s1229,s31]) ).
cnf(s1469,plain,
( spl0_146
| spl0_16
| spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1403,s1190,s377,s1369,s1119,s345,s1468,s1253,s1252,s26,s494,s770,s110,s114,s785,s481,s1243,s893,s1467,s1392,s22,s1436,s1070,s1462,s1371,s490,s31,s712]) ).
cnf(s1470,plain,
( spl0_166
| spl0_37
| ~ spl0_45
| ~ spl0_61
| spl0_113
| ~ spl0_146
| ~ spl0_109 ),
inference(rat,[],[s583,s445,s780,s811,s770,s782,s31]) ).
cnf(s1471,plain,
( ~ spl0_202
| spl0_154
| ~ spl0_190
| ~ spl0_181
| ~ spl0_128
| spl0_28
| ~ spl0_61
| spl0_127
| ~ spl0_167
| spl0_16
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s963,s1089,s1097,s1103,s1098,s1277,s1460,s964,s1001,s1371,s490,s712,s1298]) ).
cnf(s1472,plain,
( ~ spl0_190
| ~ spl0_61
| spl0_16
| spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1260,s1167,s1000,s1257,s1292,s971,s962,s1471,s1114,s875,s897,s799,s1149,s1052,s357,s1034,s865,s651,s377,s26,s782,s854,s1190,s864,s818,s345,s1182,s110,s845,s1470,s144,s1207,s821,s1070,s1462,s1297,s1371,s1144,s1271,s1294,s1469,s1392,s22,s1436,s490,s1298,s712,s319,s31]) ).
cnf(s1473,plain,
( ~ spl0_61
| spl0_16
| spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s357,s1149,s1034,s898,s749,s905,s1275,s1249,s1472,s345,s1182,s854,s110,s114,s845,s1470,s26,s1144,s144,s1207,s782,s1392,s22,s1436,s1371,s1297,s490,s377,s821,s1271,s1469,s1070,s1462,s712,s995,s31]) ).
cnf(s1474,plain,
( spl0_16
| spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1149,s799,s357,s1034,s345,s749,s1281,s875,s905,s1012,s483,s1275,s1235,s871,s854,s26,s1249,s110,s114,s785,s1169,s1243,s135,s893,s1473,s377,s821,s1297,s1271,s1294,s1469,s1371,s490,s1392,s22,s1436,s1070,s1462,s319,s712,s995,s31]) ).
cnf(s1475,plain,
( ~ spl0_202
| ~ spl0_177
| spl0_28
| ~ spl0_190
| ~ spl0_113
| spl0_127
| spl0_158
| spl0_146
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1133,s1280,s963,s1290,s1089,s1233,s1227,s998,s1094,s1024,s1101,s1001,s712,s995,s319]) ).
cnf(s1476,plain,
( spl0_213
| ~ spl0_223
| spl0_207
| ~ spl0_217
| spl0_128
| ~ spl0_190
| spl0_146
| ~ spl0_2 ),
inference(rat,[],[s1132,s963,s1166,s1089,s1290,s712]) ).
cnf(s1478,plain,
( spl0_207
| spl0_213
| ~ spl0_217
| spl0_128
| spl0_28
| ~ spl0_190
| spl0_146
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1227,s1476,s1094,s319]) ).
cnf(s1479,plain,
( spl0_213
| ~ spl0_217
| spl0_128
| spl0_28
| ~ spl0_190
| ~ spl0_113
| spl0_146
| ~ spl0_61
| ~ spl0_16
| spl0_9
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1089,s963,s1227,s1135,s1091,s1005,s1478,s1388,s1392,s1436,s712,s319]) ).
cnf(s1480,plain,
( ~ spl0_213
| ~ spl0_12
| ~ spl0_61 ),
inference(rat,[],[s1027,s999,s1186]) ).
cnf(s1481,plain,
( spl0_146
| ~ spl0_61
| spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1257,s629,s962,s1479,s1034,s1475,s1141,s865,s1104,s1145,s718,s1159,s1229,s1463,s345,s1273,s1117,s895,s821,s875,s1173,s425,s1252,s1283,s1109,s733,s1040,s399,s1070,s1462,s26,s782,s1480,s1388,s1392,s1436,s1474,s22,s1298,s712,s299,s319]) ).
cnf(s1482,plain,
( ~ spl0_28
| ~ spl0_166
| ~ spl0_12
| ~ spl0_61
| ~ spl0_109
| spl0_6
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s1249,s895,s1193,s875,s1109,s845,s22,s995,s319]) ).
cnf(s1483,plain,
( ~ spl0_113
| ~ spl0_190
| ~ spl0_146
| ~ spl0_12
| ~ spl0_61 ),
inference(rat,[],[s832,s1034,s426,s1068,s888,s811,s712]) ).
cnf(s1484,plain,
( ~ spl0_190
| spl0_28
| ~ spl0_167
| ~ spl0_146
| ~ spl0_61
| ~ spl0_16
| spl0_9
| ~ spl0_4 ),
inference(rat,[],[s1089,s1227,s963,s1091,s1097,s1005,s1098,s718,s1460,s1100,s1173,s1483,s1480,s1206,s811,s1388,s1392,s1436,s319,s712,s1298]) ).
cnf(s1485,plain,
( ~ spl0_61
| spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s875,s483,s895,s871,s1249,s1484,s1482,s651,s811,s1294,s1481,s1388,s1392,s22,s1436,s1070,s1462,s1474,s319,s995,s712]) ).
cnf(s1486,plain,
( spl0_6
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s547,s1034,s1281,s799,s1389,s1145,s875,s425,s1159,s1109,s1058,s1022,s345,s1119,s651,s1294,s1423,s821,s114,s1390,s1243,s893,s1485,s1474,s1070,s1462,s1392,s22,s1436,s712,s319]) ).
cnf(s1487,plain,
( ~ spl0_4
| spl0_1 ),
inference(rat,[],[s838,s840,s1438,s907,s110,s449,s345,s513,s61,s516,s737,s1486,s22,s1440,s612,s31,s299]) ).
cnf(s1488,plain,
( ~ spl0_7
| spl0_16
| spl0_1 ),
inference(rat,[],[s651,s1254,s1070,s729,s1034,s753,s1229,s666,s280,s371,s627,s741,s1197,s596,s633,s598,s1211,s612,s9,s582,s1487,s712,s299]) ).
cnf(s1489,plain,
( spl0_158
| ~ spl0_44
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s836,s1070,s838,s1283,s807,s345,s737,s840,s449,s516,s280,s712,s31]) ).
cnf(s1490,plain,
( ~ spl0_61
| spl0_16
| spl0_1 ),
inference(rat,[],[s1070,s650,s324,s763,s1254,s1034,s758,s670,s757,s765,s1489,s280,s817,s835,s1207,s612,s490,s40,s22,s345,s737,s449,s516,s3,s1488,s9,s582,s1487,s712]) ).
cnf(s1491,plain,
( ~ spl0_108
| ~ spl0_110
| ~ spl0_190
| spl0_112
| ~ spl0_6 ),
inference(rat,[],[s26,s1272,s84,s774,s474,s832,s1064,s427,s345,s737,s449,s516]) ).
cnf(s1492,plain,
( ~ spl0_109
| ~ spl0_28
| ~ spl0_6
| spl0_9
| ~ spl0_2 ),
inference(rat,[],[s26,s84,s1272,s820,s845,s1283,s776,s807,s345,s737,s319]) ).
cnf(s1493,plain,
( ~ spl0_190
| spl0_112
| ~ spl0_28
| ~ spl0_6
| spl0_9
| ~ spl0_2 ),
inference(rat,[],[s1034,s1291,s1491,s1193,s807,s345,s737,s1070,s1492,s712]) ).
cnf(s1495,plain,
( ~ spl0_188
| spl0_112
| ~ spl0_28
| ~ spl0_165
| ~ spl0_38 ),
inference(rat,[],[s853,s864,s774]) ).
cnf(s1496,plain,
( spl0_112
| ~ spl0_28
| ~ spl0_6
| spl0_9
| ~ spl0_38
| ~ spl0_2 ),
inference(rat,[],[s1274,s842,s835,s881,s1489,s838,s845,s1272,s1495,s26,s446,s1316,s1249,s1493,s345,s737,s840,s449,s516,s1070,s1492,s31,s995,s712]) ).
cnf(s1497,plain,
( ~ spl0_28
| spl0_16
| spl0_1 ),
inference(rat,[],[s842,s809,s1274,s793,s1249,s812,s1193,s1291,s646,s1034,s399,s547,s1206,s1496,s612,s490,s22,s449,s516,s807,s345,s737,s3,s1488,s9,s582,s1487,s135,s1490,s995,s712]) ).
cnf(s1498,plain,
( spl0_16
| spl0_1 ),
inference(rat,[],[s1254,s819,s324,s776,s1070,s518,s1034,s474,s85,s793,s817,s765,s1489,s280,s371,s746,s1284,s1497,s135,s1490,s449,s516,s3,s1488,s9,s490,s612,s582,s1487,s319,s712]) ).
cnf(s1499,plain,
( spl0_112
| spl0_118
| ~ spl0_186
| spl0_157
| ~ spl0_114
| ~ spl0_13
| ~ spl0_9
| spl0_1 ),
inference(rat,[],[s1070,s780,s1429,s1029,s802,s1182,s645,s582,s1487,s61,s1498,s448,s712,s299]) ).
cnf(s1500,plain,
( spl0_5
| ~ spl0_28
| spl0_1 ),
inference(rat,[],[s573,s26,s578,s407,s1070,s686,s1034,s458,s399,s547,s548,s1499,s494,s770,s842,s465,s466,s540,s448,s793,s345,s1428,s51,s89,s304,s669,s4,s582,s1487,s61,s1498,s66,s1199,s712,s299,s319,s31]) ).
cnf(s1501,plain,
( spl0_112
| ~ spl0_28
| spl0_1 ),
inference(rat,[],[s1040,s1294,s1117,s651,s1070,s1144,s729,s345,s753,s853,s1229,s612,s1243,s1392,s22,s1199,s1197,s741,s633,s3,s1500,s61,s1498,s582,s1487,s712,s299,s31]) ).
cnf(s1502,plain,
( ~ spl0_28
| spl0_1 ),
inference(rat,[],[s646,s399,s1206,s1501,s449,s1207,s896,s1392,s1243,s22,s1500,s1199,s61,s1498,s31]) ).
cnf(s1503,plain,
( ~ spl0_61
| ~ spl0_174
| ~ spl0_12
| ~ spl0_113
| ~ spl0_108
| ~ spl0_110
| spl0_196
| spl0_112
| ~ spl0_26 ),
inference(rat,[],[s1220,s1150,s832,s881,s890,s888,s427,s31]) ).
cnf(s1504,plain,
( spl0_61
| spl0_112
| ~ spl0_114
| spl0_1 ),
inference(rat,[],[s1220,s1150,s481,s1281,s893,s61,s26,s785,s802,s582,s1487,s1246,s1200,s1498,s114,s1502,s31]) ).
cnf(s1505,plain,
( ~ spl0_108
| spl0_154
| ~ spl0_61
| ~ spl0_110
| spl0_196
| spl0_146
| spl0_112
| spl0_1 ),
inference(rat,[],[s1503,s1152,s1217,s1009,s1020,s427,s612,s26,s785,s1502,s356,s61,s1498,s1010]) ).
cnf(s1506,plain,
( spl0_9
| spl0_112
| spl0_5
| spl0_1 ),
inference(rat,[],[s740,s377,s832,s1273,s895,s1207,s53,s448,s449,s1285,s1324,s1253,s1283,s1070,s1505,s1100,s637,s1058,s4,s612,s26,s785,s1022,s718,s1246,s114,s1502,s355,s1034,s763,s61,s1010,s802,s1200,s1498,s1504,s345,s669,s582,s1487,s299,s319,s712]) ).
cnf(s1507,plain,
( spl0_112
| spl0_5
| spl0_1 ),
inference(rat,[],[s371,s1009,s386,s500,s89,s92,s1506,s355,s1034,s1010,s763,s802,s1200,s61,s1498,s1502,s345,s669,s582,s1487,s319,s712]) ).
cnf(s1508,plain,
( spl0_154
| spl0_5
| spl0_1 ),
inference(rat,[],[s1273,s1073,s1274,s1418,s646,s53,s449,s854,s664,s1141,s1324,s1152,s1291,s594,s582,s1487,s1498,s785,s605,s399,s426,s1053,s1034,s547,s770,s1206,s1507,s1284,s1502,s612,s299,s712]) ).
cnf(s1509,plain,
( spl0_5
| spl0_1 ),
inference(rat,[],[s384,s128,s92,s4,s637,s1508,s280,s1507,s582,s1487,s1502,s319]) ).
cnf(s1510,plain,
( spl0_112
| spl0_1 ),
inference(rat,[],[s371,s627,s832,s108,s1034,s1273,s1285,s1254,s1294,s895,s704,s651,s1253,s1149,s1070,s729,s345,s645,s753,s1229,s612,s26,s785,s1502,s1211,s732,s598,s1197,s897,s741,s633,s3,s582,s1487,s1509,s61,s1498,s712,s299,s319]) ).
cnf(s1511,plain,
spl0_1,
inference(rat,[],[s1141,s426,s1217,s1053,s811,s1034,s770,s399,s547,s1206,s1510,s741,s633,s598,s1211,s3,s1509,s1284,s1502,s61,s1498,s582,s1487,s612,s712]) ).
cnf(s1512,plain,
spl0_20,
inference(rat,[],[s1208,s1511]) ).
cnf(s1513,plain,
spl0_181,
inference(rat,[],[s760,s1511]) ).
cnf(s1514,plain,
spl0_177,
inference(rat,[],[s759,s1511]) ).
cnf(s1515,plain,
spl0_5,
inference(rat,[],[s47,s1511]) ).
cnf(s1516,plain,
~ spl0_17,
inference(rat,[],[s46,s1511]) ).
cnf(s1523,plain,
( spl0_37
| spl0_112 ),
inference(rat,[],[s1029,s780,s494,s770,s779,s781,s778,s1070,s753,s712,s1511,s1512,s1513,s1514]) ).
cnf(s1524,plain,
spl0_112,
inference(rat,[],[s732,s43,s1149,s835,s888,s371,s377,s426,s666,s1034,s1254,s1274,s670,s135,s656,s1523,s324,s1070,s345,s753,s1229,s1511,s1515,s1514,s1513,s712]) ).
cnf(s1525,plain,
~ spl0_166,
inference(rat,[],[s1206,s1524]) ).
cnf(s1527,plain,
~ spl0_125,
inference(rat,[],[s792,s1524]) ).
cnf(s1530,plain,
~ spl0_110,
inference(rat,[],[s547,s1524]) ).
cnf(s1531,plain,
spl0_146,
inference(rat,[],[s399,s1524]) ).
cnf(s1533,plain,
~ spl0_44,
inference(rat,[],[s280,s1524]) ).
cnf(s1540,plain,
spl0_111,
inference(rat,[],[s1034,s712,s1530]) ).
cnf(s1543,plain,
~ spl0_77,
inference(rat,[],[s592,s31,s1531]) ).
cnf(s1548,plain,
( ~ spl0_28
| spl0_13 ),
inference(rat,[],[s84,s808,s26,s377,s1052,s1068,s748,s20,s1243,s1207,s769,s1320,s779,s66,s1514,s1540,s1531,s299,s1527,s1516,s1515,s1525,s1511,s1512]) ).
cnf(s1549,plain,
( ~ spl0_7
| spl0_13 ),
inference(rat,[],[s691,s779,s769,s619,s1207,s1210,s1211,s1511,s1512,s1540,s1525]) ).
cnf(s1550,plain,
spl0_13,
inference(rat,[],[s779,s1052,s145,s748,s835,s48,s1549,s26,s785,s1548,s1511,s1512,s1540,s1543,s299,s1527,s1533]) ).
cnf(s1552,plain,
~ spl0_157,
inference(rat,[],[s632,s1511,s319,s1550]) ).
cnf(s1553,plain,
~ spl0_108,
inference(rat,[],[s631,s319,s1511,s1550]) ).
cnf(s1555,plain,
spl0_35,
inference(rat,[],[s448,s1550]) ).
cnf(s1557,plain,
spl0_16,
inference(rat,[],[s40,s1550]) ).
cnf(s1560,plain,
~ spl0_134,
inference(rat,[],[s842,s1552]) ).
cnf(s1563,plain,
spl0_109,
inference(rat,[],[s1070,s712,s1553]) ).
cnf(s1566,plain,
spl0_37,
inference(rat,[],[s1111,s1512,s1557,s1555]) ).
cnf(s1571,plain,
spl0_145,
inference(rat,[],[s1254,s1540,s1560]) ).
cnf(s1576,plain,
~ spl0_183,
inference(rat,[],[s657,s1566,s1571,s1563]) ).
cnf(s1587,plain,
$false,
inference(rat,[],[s655,s1576,s1566]) ).
thf(f16157,plain,
$false,
inference(avatar_sat_refutation,[],[s1587]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA144^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n008.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 19:04:39 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running higher-order theorem proving
% 0.10/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35 % (3588472)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.19/0.35 % (3588477)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3571346712:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.19/0.35 % (3588478)lrs+10_16_si=on:nwc=1.5:random_seed=3771451065:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.19/0.35 % (3588479)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3630136470:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.19/0.35 % (3588480)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=2088602398: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)
% 0.19/0.35 % (3588481)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3154417690:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.19/0.35 % (3588479)Instruction limit reached!
% 0.19/0.35 % (3588479)------------------------------
% 0.19/0.35 % (3588479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (3588479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (3588479)CaDiCaL version: 2.1.3
% 0.19/0.35 % (3588479)Termination reason: Instruction limit
% 0.19/0.35 % (3588479)Termination phase: Saturation
% 0.19/0.35 % (3588479)Time elapsed: 0.003 s
% 0.19/0.35 % (3588479)Peak memory usage: 12 MB
% 0.19/0.35 % (3588479)Instructions burned: 3 (million)
% 0.19/0.35 % (3588483)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.19/0.35 % (3588483)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
% 0.19/0.35 % (3588483)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=695118598:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.19/0.35 % (3588482)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3685672398:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.19/0.35 % (3588478)Instruction limit reached!
% 0.19/0.35 % (3588478)------------------------------
% 0.19/0.35 % (3588478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (3588478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (3588478)CaDiCaL version: 2.1.3
% 0.19/0.35 % (3588478)Termination reason: Instruction limit
% 0.19/0.35 % (3588478)Termination phase: Saturation
% 0.19/0.35 % (3588478)Time elapsed: 0.011 s
% 0.19/0.35 % (3588478)Peak memory usage: 12 MB
% 0.19/0.35 % (3588478)Instructions burned: 20 (million)
% 0.19/0.35 % (3588481)Instruction limit reached!
% 0.19/0.35 % (3588481)------------------------------
% 0.19/0.35 % (3588481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (3588481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (3588481)CaDiCaL version: 2.1.3
% 0.19/0.35 % (3588481)Termination reason: Instruction limit
% 0.19/0.35 % (3588481)Termination phase: Saturation
% 0.19/0.35 % (3588481)Time elapsed: 0.012 s
% 0.19/0.35 % (3588481)Peak memory usage: 11 MB
% 0.19/0.35 % (3588481)Instructions burned: 25 (million)
% 0.19/0.35 % (3588489)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=612568575:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.19/0.35 % (3588489)Instruction limit reached!
% 0.19/0.35 % (3588489)------------------------------
% 0.19/0.35 % (3588489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (3588489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (3588489)CaDiCaL version: 2.1.3
% 0.19/0.35 % (3588489)Termination reason: Instruction limit
% 0.19/0.35 % (3588489)Termination phase: Saturation
% 0.19/0.35 % (3588489)Time elapsed: 0.001 s
% 0.19/0.35 % (3588489)Peak memory usage: 12 MB
% 0.19/0.35 % (3588489)Instructions burned: 3 (million)
% 0.19/0.35 % (3588477)Instruction limit reached!
% 0.19/0.35 % (3588477)------------------------------
% 0.19/0.35 % (3588477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.37 % (3588477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.37 % (3588477)CaDiCaL version: 2.1.3
% 0.19/0.37 % (3588477)Termination reason: Instruction limit
% 0.19/0.37 % (3588477)Termination phase: Saturation
% 0.19/0.37 % (3588477)Time elapsed: 0.033 s
% 0.19/0.37 % (3588477)Peak memory usage: 12 MB
% 0.19/0.37 % (3588477)Instructions burned: 88 (million)
% 0.19/0.37 % (3588495)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4228887034:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.19/0.37 % (3588493)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.19/0.37 % (3588492)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1153428485:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.19/0.37 % (3588493)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=985145264:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.19/0.37 % (3588492)Instruction limit reached!
% 0.19/0.37 % (3588492)------------------------------
% 0.19/0.37 % (3588492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.37 % (3588492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.37 % (3588492)CaDiCaL version: 2.1.3
% 0.19/0.37 % (3588492)Termination reason: Instruction limit
% 0.19/0.37 % (3588492)Termination phase: Saturation
% 0.19/0.37 % (3588492)Time elapsed: 0.003 s
% 0.19/0.37 % (3588495)Instruction limit reached!
% 0.19/0.37 % (3588495)------------------------------
% 0.19/0.37 % (3588495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.37 % (3588492)Peak memory usage: 11 MB
% 0.19/0.37 % (3588492)Instructions burned: 5 (million)
% 0.19/0.37 % (3588495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.37 % (3588495)CaDiCaL version: 2.1.3
% 0.19/0.37 % (3588495)Termination reason: Instruction limit
% 0.19/0.37 % (3588495)Termination phase: Saturation
% 0.19/0.37 % (3588495)Time elapsed: 0.005 s
% 0.19/0.37 % (3588495)Peak memory usage: 12 MB
% 0.19/0.37 % (3588495)Instructions burned: 16 (million)
% 0.19/0.37 % (3588493)Instruction limit reached!
% 0.19/0.37 % (3588493)------------------------------
% 0.19/0.37 % (3588493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.37 % (3588493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.37 % (3588493)CaDiCaL version: 2.1.3
% 0.19/0.37 % (3588493)Termination reason: Instruction limit
% 0.19/0.37 % (3588493)Termination phase: Saturation
% 0.19/0.37 % (3588493)Time elapsed: 0.004 s
% 0.19/0.37 % (3588493)Peak memory usage: 12 MB
% 0.19/0.37 % (3588493)Instructions burned: 7 (million)
% 0.19/0.37 % (3588482)Instruction limit reached!
% 0.19/0.37 % (3588482)------------------------------
% 0.19/0.37 % (3588482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.37 % (3588497)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
% 0.19/0.37 % (3588482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.37 % (3588482)CaDiCaL version: 2.1.3
% 0.19/0.37 % (3588482)Termination reason: Instruction limit
% 0.19/0.37 % (3588482)Termination phase: Saturation
% 0.19/0.37 % (3588482)Time elapsed: 0.037 s
% 0.19/0.37 % (3588482)Peak memory usage: 12 MB
% 0.19/0.37 % (3588482)Instructions burned: 76 (million)
% 0.19/0.37 % (3588497)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.19/0.37 % (3588500)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=3229032612:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.19/0.37 % (3588497)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3304796682:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.19/0.37 % (3588502)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.96/0.40 % (3588501)lrs+10_1_si=on:cs=on:random_seed=3306663843:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.96/0.40 % (3588502)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=494218939:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.96/0.40 % (3588502)Instruction limit reached!
% 0.96/0.40 % (3588502)------------------------------
% 0.96/0.40 % (3588502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.40 % (3588502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.40 % (3588502)CaDiCaL version: 2.1.3
% 0.96/0.40 % (3588502)Termination reason: Instruction limit
% 0.96/0.40 % (3588502)Termination phase: Saturation
% 0.96/0.40 % (3588502)Time elapsed: 0.001 s
% 0.96/0.40 % (3588502)Peak memory usage: 10 MB
% 0.96/0.40 % (3588502)Instructions burned: 2 (million)
% 0.96/0.40 % (3588501)Instruction limit reached!
% 0.96/0.40 % (3588501)------------------------------
% 0.96/0.40 % (3588501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.40 % (3588501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.40 % (3588501)CaDiCaL version: 2.1.3
% 0.96/0.40 % (3588501)Termination reason: Instruction limit
% 0.96/0.40 % (3588501)Termination phase: Saturation
% 0.96/0.40 % (3588501)Time elapsed: 0.006 s
% 0.96/0.40 % (3588501)Peak memory usage: 12 MB
% 0.96/0.40 % (3588501)Instructions burned: 10 (million)
% 0.96/0.40 % (3588497)Instruction limit reached!
% 0.96/0.40 % (3588497)------------------------------
% 0.96/0.40 % (3588497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.40 % (3588497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.40 % (3588497)CaDiCaL version: 2.1.3
% 0.96/0.40 % (3588497)Termination reason: Instruction limit
% 0.96/0.40 % (3588497)Termination phase: Saturation
% 0.96/0.40 % (3588497)Time elapsed: 0.016 s
% 0.96/0.40 % (3588497)Peak memory usage: 12 MB
% 0.96/0.40 % (3588497)Instructions burned: 28 (million)
% 0.96/0.40 % (3588503)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3921641244:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.96/0.40 % (3588483)Instruction limit reached!
% 0.96/0.40 % (3588483)------------------------------
% 0.96/0.40 % (3588483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.40 % (3588483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.40 % (3588483)CaDiCaL version: 2.1.3
% 0.96/0.40 % (3588483)Termination reason: Instruction limit
% 0.96/0.40 % (3588483)Termination phase: Saturation
% 0.96/0.40 % (3588483)Time elapsed: 0.061 s
% 0.96/0.40 % (3588483)Peak memory usage: 12 MB
% 0.96/0.40 % (3588483)Instructions burned: 157 (million)
% 0.96/0.40 % (3588500)Instruction limit reached!
% 0.96/0.40 % (3588500)------------------------------
% 0.96/0.40 % (3588500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.40 % (3588500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.40 % (3588500)CaDiCaL version: 2.1.3
% 0.96/0.40 % (3588500)Termination reason: Instruction limit
% 0.96/0.40 % (3588500)Termination phase: Saturation
% 0.96/0.40 % (3588500)Time elapsed: 0.025 s
% 0.96/0.40 % (3588500)Peak memory usage: 12 MB
% 0.96/0.40 % (3588500)Instructions burned: 97 (million)
% 0.96/0.40 % (3588503)Refutation not found, incomplete strategy
% 0.96/0.40 % (3588503)------------------------------
% 0.96/0.40 % (3588503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.40 % (3588503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.40 % (3588503)CaDiCaL version: 2.1.3
% 0.96/0.40 % (3588503)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.40 % (3588503)Time elapsed: 0.001 s
% 0.96/0.40 % (3588503)Peak memory usage: 11 MB
% 0.96/0.40 % (3588503)------------------------------
% 0.96/0.40 % (3588503)------------------------------
% 0.96/0.40 % (3588508)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2190209609:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.96/0.40 % (3588508)Refutation not found, incomplete strategy
% 0.96/0.40 % (3588508)------------------------------
% 0.96/0.40 % (3588508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.40 % (3588508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.42 % (3588508)CaDiCaL version: 2.1.3
% 0.96/0.42 % (3588508)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.42 % (3588508)Time elapsed: 0.001 s
% 0.96/0.42 % (3588508)Peak memory usage: 11 MB
% 0.96/0.42 % (3588508)------------------------------
% 0.96/0.42 % (3588508)------------------------------
% 0.96/0.42 % (3588509)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1810317532:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.96/0.42 % (3588510)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=347045756:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.96/0.42 % (3588509)Refutation not found, incomplete strategy
% 0.96/0.42 % (3588509)------------------------------
% 0.96/0.42 % (3588509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.42 % (3588509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.42 % (3588509)CaDiCaL version: 2.1.3
% 0.96/0.42 % (3588509)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.42 % (3588509)Time elapsed: 0.001 s
% 0.96/0.42 % (3588509)Peak memory usage: 11 MB
% 0.96/0.42 % (3588509)------------------------------
% 0.96/0.42 % (3588509)------------------------------
% 0.96/0.42 % (3588511)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2435931993:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.96/0.42 % (3588511)Refutation not found, incomplete strategy
% 0.96/0.42 % (3588511)------------------------------
% 0.96/0.42 % (3588511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.42 % (3588511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.42 % (3588511)CaDiCaL version: 2.1.3
% 0.96/0.42 % (3588511)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.42 % (3588511)Time elapsed: 0.001 s
% 0.96/0.42 % (3588511)Peak memory usage: 11 MB
% 0.96/0.42 % (3588511)------------------------------
% 0.96/0.42 % (3588511)------------------------------
% 0.96/0.42 % (3588513)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2114369907:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.96/0.42 % (3588516)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3630903959:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.96/0.42 % (3588510)Instruction limit reached!
% 0.96/0.42 % (3588510)------------------------------
% 0.96/0.42 % (3588510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.42 % (3588510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.42 % (3588510)CaDiCaL version: 2.1.3
% 0.96/0.42 % (3588510)Termination reason: Instruction limit
% 0.96/0.42 % (3588510)Termination phase: Saturation
% 0.96/0.42 % (3588510)Time elapsed: 0.010 s
% 0.96/0.42 % (3588510)Peak memory usage: 12 MB
% 0.96/0.42 % (3588510)Instructions burned: 15 (million)
% 0.96/0.42 % (3588513)Instruction limit reached!
% 0.96/0.42 % (3588513)------------------------------
% 0.96/0.42 % (3588513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.42 % (3588513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.42 % (3588513)CaDiCaL version: 2.1.3
% 0.96/0.42 % (3588513)Termination reason: Instruction limit
% 0.96/0.42 % (3588513)Termination phase: Saturation
% 0.96/0.42 % (3588513)Time elapsed: 0.008 s
% 0.96/0.42 % (3588513)Peak memory usage: 12 MB
% 0.96/0.42 % (3588513)Instructions burned: 15 (million)
% 0.96/0.42 % (3588515)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2060648456: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)
% 0.96/0.42 % (3588515)Refutation not found, incomplete strategy
% 0.96/0.42 % (3588515)------------------------------
% 0.96/0.42 % (3588515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.42 % (3588515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.42 % (3588515)CaDiCaL version: 2.1.3
% 0.96/0.42 % (3588515)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.42 % (3588515)Time elapsed: 0.001 s
% 0.96/0.42 % (3588515)Peak memory usage: 11 MB
% 0.96/0.42 % (3588516)Instruction limit reached!
% 0.96/0.42 % (3588516)------------------------------
% 0.96/0.45 % (3588516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.45 % (3588516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.45 % (3588516)CaDiCaL version: 2.1.3
% 0.96/0.45 % (3588516)Termination reason: Instruction limit
% 0.96/0.45 % (3588516)Termination phase: Saturation
% 0.96/0.45 % (3588516)Time elapsed: 0.008 s
% 0.96/0.45 % (3588516)Peak memory usage: 12 MB
% 0.96/0.45 % (3588516)Instructions burned: 30 (million)
% 0.96/0.45 % (3588515)------------------------------
% 0.96/0.45 % (3588515)------------------------------
% 0.96/0.45 % (3588522)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2787528609:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.96/0.45 % (3588524)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.96/0.45 % (3588524)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.96/0.45 % (3588527)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=386967004:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.96/0.45 % (3588524)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=4233652076:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.96/0.45 % (3588525)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.96/0.45 % (3588519)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3701317478:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.96/0.45 % (3588525)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=2139565477:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.96/0.45 % (3588527)Instruction limit reached!
% 0.96/0.45 % (3588527)------------------------------
% 0.96/0.45 % (3588527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.45 % (3588527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.45 % (3588527)CaDiCaL version: 2.1.3
% 0.96/0.45 % (3588527)Termination reason: Instruction limit
% 0.96/0.45 % (3588527)Termination phase: Saturation
% 0.96/0.45 % (3588527)Time elapsed: 0.008 s
% 0.96/0.45 % (3588527)Peak memory usage: 12 MB
% 0.96/0.45 % (3588527)Instructions burned: 31 (million)
% 0.96/0.45 % (3588528)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2444113032:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.96/0.45 % (3588524)Instruction limit reached!
% 0.96/0.45 % (3588524)------------------------------
% 0.96/0.45 % (3588524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.45 % (3588524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.45 % (3588524)CaDiCaL version: 2.1.3
% 0.96/0.45 % (3588524)Termination reason: Instruction limit
% 0.96/0.45 % (3588524)Termination phase: Saturation
% 0.96/0.45 % (3588524)Time elapsed: 0.009 s
% 0.96/0.45 % (3588524)Peak memory usage: 12 MB
% 0.96/0.45 % (3588524)Instructions burned: 15 (million)
% 0.96/0.45 % (3588525)Instruction limit reached!
% 0.96/0.45 % (3588525)------------------------------
% 0.96/0.45 % (3588525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.45 % (3588525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.45 % (3588525)CaDiCaL version: 2.1.3
% 0.96/0.45 % (3588525)Termination reason: Instruction limit
% 0.96/0.45 % (3588525)Termination phase: Saturation
% 0.96/0.45 % (3588525)Time elapsed: 0.005 s
% 0.96/0.45 % (3588525)Peak memory usage: 12 MB
% 0.96/0.45 % (3588525)Instructions burned: 8 (million)
% 0.96/0.45 % (3588519)Instruction limit reached!
% 0.96/0.45 % (3588519)------------------------------
% 0.96/0.45 % (3588519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.45 % (3588519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.45 % (3588519)CaDiCaL version: 2.1.3
% 1.65/0.48 % (3588519)Termination reason: Instruction limit
% 1.65/0.48 % (3588519)Termination phase: Saturation
% 1.65/0.48 % (3588519)Time elapsed: 0.011 s
% 1.65/0.48 % (3588519)Peak memory usage: 11 MB
% 1.65/0.48 % (3588519)Instructions burned: 24 (million)
% 1.65/0.48 % (3588528)Instruction limit reached!
% 1.65/0.48 % (3588528)------------------------------
% 1.65/0.48 % (3588528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.48 % (3588528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.48 % (3588528)CaDiCaL version: 2.1.3
% 1.65/0.48 % (3588528)Termination reason: Instruction limit
% 1.65/0.48 % (3588528)Termination phase: Saturation
% 1.65/0.48 % (3588528)Time elapsed: 0.005 s
% 1.65/0.48 % (3588528)Peak memory usage: 12 MB
% 1.65/0.48 % (3588528)Instructions burned: 9 (million)
% 1.65/0.48 % (3588542)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3699929172:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.65/0.48 % (3588522)Instruction limit reached!
% 1.65/0.48 % (3588522)------------------------------
% 1.65/0.48 % (3588522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.48 % (3588522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.48 % (3588522)CaDiCaL version: 2.1.3
% 1.65/0.48 % (3588522)Termination reason: Instruction limit
% 1.65/0.48 % (3588522)Termination phase: Saturation
% 1.65/0.48 % (3588522)Time elapsed: 0.025 s
% 1.65/0.48 % (3588522)Peak memory usage: 12 MB
% 1.65/0.48 % (3588522)Instructions burned: 60 (million)
% 1.65/0.48 % (3588542)Instruction limit reached!
% 1.65/0.48 % (3588542)------------------------------
% 1.65/0.48 % (3588542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.48 % (3588542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.48 % (3588542)CaDiCaL version: 2.1.3
% 1.65/0.48 % (3588542)Termination reason: Instruction limit
% 1.65/0.48 % (3588542)Termination phase: Saturation
% 1.65/0.48 % (3588542)Time elapsed: 0.005 s
% 1.65/0.48 % (3588542)Peak memory usage: 11 MB
% 1.65/0.48 % (3588542)Instructions burned: 24 (million)
% 1.65/0.48 % (3588544)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=704245582:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.65/0.48 % (3588546)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=33286772:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.65/0.48 % (3588547)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=56433386:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.65/0.48 % (3588555)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.65/0.48 % (3588548)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3991720417:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.65/0.48 % (3588548)Refutation not found, incomplete strategy
% 1.65/0.48 % (3588548)------------------------------
% 1.65/0.48 % (3588548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.48 % (3588548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.48 % (3588548)CaDiCaL version: 2.1.3
% 1.65/0.48 % (3588548)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.48 % (3588548)Time elapsed: 0.001 s
% 1.65/0.48 % (3588548)Peak memory usage: 11 MB
% 1.65/0.48 % (3588555)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2935605253:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.65/0.48 % (3588548)------------------------------
% 1.65/0.48 % (3588548)------------------------------
% 1.65/0.48 % (3588555)Instruction limit reached!
% 1.65/0.48 % (3588555)------------------------------
% 1.65/0.48 % (3588555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.48 % (3588555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.48 % (3588555)CaDiCaL version: 2.1.3
% 1.65/0.48 % (3588555)Termination reason: Instruction limit
% 1.65/0.48 % (3588555)Termination phase: Saturation
% 1.65/0.48 % (3588555)Time elapsed: 0.003 s
% 1.65/0.48 % (3588555)Peak memory usage: 12 MB
% 1.65/0.48 % (3588555)Instructions burned: 10 (million)
% 1.65/0.48 % (3588553)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2196515266:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.65/0.53 % (3588544)Instruction limit reached!
% 1.65/0.53 % (3588544)------------------------------
% 1.65/0.53 % (3588544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.53 % (3588544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.53 % (3588544)CaDiCaL version: 2.1.3
% 1.65/0.53 % (3588544)Termination reason: Instruction limit
% 1.65/0.53 % (3588544)Termination phase: Saturation
% 1.65/0.53 % (3588544)Time elapsed: 0.011 s
% 1.65/0.53 % (3588544)Peak memory usage: 12 MB
% 1.65/0.53 % (3588544)Instructions burned: 20 (million)
% 1.65/0.53 % (3588565)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=4150514790:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.65/0.53 % (3588565)Refutation not found, incomplete strategy
% 1.65/0.53 % (3588565)------------------------------
% 1.65/0.53 % (3588565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.53 % (3588565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.53 % (3588565)CaDiCaL version: 2.1.3
% 1.65/0.53 % (3588565)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.53 % (3588565)Time elapsed: 0.0000 s
% 1.65/0.53 % (3588565)Peak memory usage: 11 MB
% 1.65/0.53 % (3588565)------------------------------
% 1.65/0.53 % (3588565)------------------------------
% 1.65/0.53 % (3588563)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3328096264:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.65/0.53 % (3588568)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.65/0.53 % (3588563)Refutation not found, incomplete strategy
% 1.65/0.53 % (3588563)------------------------------
% 1.65/0.53 % (3588563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.53 % (3588563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.53 % (3588563)CaDiCaL version: 2.1.3
% 1.65/0.53 % (3588563)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.53 % (3588563)Time elapsed: 0.001 s
% 1.65/0.53 % (3588563)Peak memory usage: 11 MB
% 1.65/0.53 % (3588563)------------------------------
% 1.65/0.53 % (3588563)------------------------------
% 1.65/0.53 % (3588568)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1919717647:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.65/0.53 % (3588571)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4152782304:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.65/0.53 % (3588568)Refutation not found, incomplete strategy
% 1.65/0.53 % (3588568)------------------------------
% 1.65/0.53 % (3588568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.53 % (3588568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.53 % (3588568)CaDiCaL version: 2.1.3
% 1.65/0.53 % (3588568)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.53 % (3588568)Time elapsed: 0.001 s
% 1.65/0.53 % (3588568)Peak memory usage: 11 MB
% 1.65/0.53 % (3588568)Instructions burned: 1 (million)
% 1.65/0.53 % (3588553)Instruction limit reached!
% 1.65/0.53 % (3588553)------------------------------
% 1.65/0.53 % (3588553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.53 % (3588553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.53 % (3588553)CaDiCaL version: 2.1.3
% 1.65/0.53 % (3588553)Termination reason: Instruction limit
% 1.65/0.53 % (3588553)Termination phase: Saturation
% 1.65/0.53 % (3588553)Time elapsed: 0.021 s
% 1.65/0.53 % (3588553)Peak memory usage: 12 MB
% 1.65/0.53 % (3588553)Instructions burned: 44 (million)
% 1.65/0.53 % (3588568)------------------------------
% 1.65/0.53 % (3588568)------------------------------
% 1.65/0.53 % (3588571)Instruction limit reached!
% 1.65/0.53 % (3588571)------------------------------
% 1.65/0.53 % (3588571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.53 % (3588571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.60 % (3588571)CaDiCaL version: 2.1.3
% 2.22/0.60 % (3588571)Termination reason: Instruction limit
% 2.22/0.60 % (3588571)Termination phase: Saturation
% 2.22/0.60 % (3588571)Time elapsed: 0.006 s
% 2.22/0.60 % (3588571)Peak memory usage: 12 MB
% 2.22/0.60 % (3588571)Instructions burned: 25 (million)
% 2.22/0.60 % (3588576)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3816405334:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.22/0.60 % (3588585)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=1393436346:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.22/0.60 % (3588576)Refutation not found, incomplete strategy
% 2.22/0.60 % (3588576)------------------------------
% 2.22/0.60 % (3588576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.60 % (3588576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.60 % (3588576)CaDiCaL version: 2.1.3
% 2.22/0.60 % (3588576)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.60 % (3588576)Time elapsed: 0.002 s
% 2.22/0.60 % (3588576)Peak memory usage: 12 MB
% 2.22/0.60 % (3588576)Instructions burned: 2 (million)
% 2.22/0.60 % (3588576)------------------------------
% 2.22/0.60 % (3588576)------------------------------
% 2.22/0.60 % (3588579)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=3419898291:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.22/0.60 % (3588581)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=3909175910:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.22/0.60 % (3588585)Instruction limit reached!
% 2.22/0.60 % (3588585)------------------------------
% 2.22/0.60 % (3588585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.60 % (3588585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.60 % (3588585)CaDiCaL version: 2.1.3
% 2.22/0.60 % (3588585)Termination reason: Instruction limit
% 2.22/0.60 % (3588585)Termination phase: Saturation
% 2.22/0.60 % (3588585)Time elapsed: 0.014 s
% 2.22/0.60 % (3588585)Peak memory usage: 12 MB
% 2.22/0.60 % (3588585)Instructions burned: 46 (million)
% 2.22/0.60 % (3588547)Instruction limit reached!
% 2.22/0.60 % (3588547)------------------------------
% 2.22/0.60 % (3588547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.60 % (3588547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.60 % (3588547)CaDiCaL version: 2.1.3
% 2.22/0.60 % (3588547)Termination reason: Instruction limit
% 2.22/0.60 % (3588547)Termination phase: Saturation
% 2.22/0.60 % (3588547)Time elapsed: 0.060 s
% 2.22/0.60 % (3588547)Peak memory usage: 12 MB
% 2.22/0.60 % (3588547)Instructions burned: 144 (million)
% 2.22/0.60 % (3588480)Instruction limit reached!
% 2.22/0.60 % (3588480)------------------------------
% 2.22/0.60 % (3588480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.60 % (3588480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.60 % (3588480)CaDiCaL version: 2.1.3
% 2.22/0.60 % (3588480)Termination reason: Instruction limit
% 2.22/0.60 % (3588480)Termination phase: Saturation
% 2.22/0.60 % (3588480)Time elapsed: 0.211 s
% 2.22/0.60 % (3588480)Peak memory usage: 13 MB
% 2.22/0.60 % (3588480)Instructions burned: 635 (million)
% 2.22/0.60 % (3588594)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2142086750:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.22/0.60 % (3588594)Refutation not found, incomplete strategy
% 2.22/0.60 % (3588594)------------------------------
% 2.22/0.60 % (3588594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.60 % (3588594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.60 % (3588594)CaDiCaL version: 2.1.3
% 2.22/0.60 % (3588594)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.60 % (3588594)Time elapsed: 0.001 s
% 2.22/0.60 % (3588594)Peak memory usage: 12 MB
% 2.22/0.60 % (3588594)Instructions burned: 1 (million)
% 2.22/0.60 % (3588594)------------------------------
% 2.22/0.63 % (3588594)------------------------------
% 2.22/0.63 % (3588601)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1056612633:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.22/0.63 % (3588601)Instruction limit reached!
% 2.22/0.63 % (3588601)------------------------------
% 2.22/0.63 % (3588601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.63 % (3588601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.63 % (3588601)CaDiCaL version: 2.1.3
% 2.22/0.63 % (3588601)Termination reason: Instruction limit
% 2.22/0.63 % (3588601)Termination phase: Saturation
% 2.22/0.63 % (3588601)Time elapsed: 0.006 s
% 2.22/0.63 % (3588601)Peak memory usage: 12 MB
% 2.22/0.63 % (3588601)Instructions burned: 22 (million)
% 2.22/0.63 % (3588603)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.22/0.63 % (3588603)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1272127734:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.22/0.63 % (3588607)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3977512458:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.22/0.63 % (3588614)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3367506666:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.22/0.63 % (3588614)Refutation not found, incomplete strategy
% 2.22/0.63 % (3588614)------------------------------
% 2.22/0.63 % (3588614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.63 % (3588614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.63 % (3588614)CaDiCaL version: 2.1.3
% 2.22/0.63 % (3588614)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.63 % (3588614)Time elapsed: 0.0000 s
% 2.22/0.63 % (3588614)Peak memory usage: 11 MB
% 2.22/0.63 % (3588614)Instructions burned: 1 (million)
% 2.22/0.63 % (3588614)------------------------------
% 2.22/0.63 % (3588614)------------------------------
% 2.22/0.63 % (3588610)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=763153684:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.22/0.63 % (3588607)Instruction limit reached!
% 2.22/0.63 % (3588607)------------------------------
% 2.22/0.63 % (3588607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.63 % (3588607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.63 % (3588607)CaDiCaL version: 2.1.3
% 2.22/0.63 % (3588607)Termination reason: Instruction limit
% 2.22/0.63 % (3588607)Termination phase: Saturation
% 2.22/0.63 % (3588607)Time elapsed: 0.007 s
% 2.22/0.63 % (3588607)Peak memory usage: 12 MB
% 2.22/0.63 % (3588607)Instructions burned: 13 (million)
% 2.22/0.63 % (3588623)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2760706927:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.22/0.63 % (3588623)Instruction limit reached!
% 2.22/0.63 % (3588623)------------------------------
% 2.22/0.63 % (3588623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.63 % (3588623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.63 % (3588623)CaDiCaL version: 2.1.3
% 2.22/0.63 % (3588623)Termination reason: Instruction limit
% 2.22/0.63 % (3588623)Termination phase: Saturation
% 2.22/0.63 % (3588623)Time elapsed: 0.009 s
% 2.22/0.63 % (3588623)Peak memory usage: 12 MB
% 2.22/0.63 % (3588623)Instructions burned: 32 (million)
% 2.22/0.63 % (3588627)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1513465191:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.22/0.63 % (3588640)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=3863706413:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 2.22/0.63 % (3588610)Instruction limit reached!
% 2.22/0.63 % (3588610)------------------------------
% 2.22/0.63 % (3588610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.68 % (3588610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.68 % (3588610)CaDiCaL version: 2.1.3
% 2.75/0.68 % (3588610)Termination reason: Instruction limit
% 2.75/0.68 % (3588610)Termination phase: Saturation
% 2.75/0.68 % (3588610)Time elapsed: 0.032 s
% 2.75/0.68 % (3588610)Peak memory usage: 12 MB
% 2.75/0.68 % (3588610)Instructions burned: 67 (million)
% 2.75/0.68 % (3588640)Instruction limit reached!
% 2.75/0.68 % (3588640)------------------------------
% 2.75/0.68 % (3588640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.68 % (3588640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.68 % (3588640)CaDiCaL version: 2.1.3
% 2.75/0.68 % (3588640)Termination reason: Instruction limit
% 2.75/0.68 % (3588640)Termination phase: Saturation
% 2.75/0.68 % (3588640)Time elapsed: 0.010 s
% 2.75/0.68 % (3588640)Peak memory usage: 12 MB
% 2.75/0.68 % (3588640)Instructions burned: 34 (million)
% 2.75/0.68 % (3588648)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.75/0.68 % (3588648)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=749792052:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 2.75/0.68 % (3588644)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3331961748:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 2.75/0.68 % (3588644)Refutation not found, incomplete strategy
% 2.75/0.68 % (3588644)------------------------------
% 2.75/0.68 % (3588644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.68 % (3588644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.68 % (3588644)CaDiCaL version: 2.1.3
% 2.75/0.68 % (3588644)Termination reason: Refutation not found, incomplete strategy
% 2.75/0.68 % (3588644)Time elapsed: 0.002 s
% 2.75/0.68 % (3588644)Peak memory usage: 12 MB
% 2.75/0.68 % (3588644)Instructions burned: 1 (million)
% 2.75/0.68 % (3588644)------------------------------
% 2.75/0.68 % (3588644)------------------------------
% 2.75/0.68 % (3588603)Instruction limit reached!
% 2.75/0.68 % (3588603)------------------------------
% 2.75/0.68 % (3588603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.68 % (3588603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.68 % (3588603)CaDiCaL version: 2.1.3
% 2.75/0.68 % (3588603)Termination reason: Instruction limit
% 2.75/0.68 % (3588603)Termination phase: Saturation
% 2.75/0.68 % (3588603)Time elapsed: 0.073 s
% 2.75/0.68 % (3588603)Peak memory usage: 12 MB
% 2.75/0.68 % (3588603)Instructions burned: 202 (million)
% 2.75/0.68 % (3588627)Instruction limit reached!
% 2.75/0.68 % (3588627)------------------------------
% 2.75/0.68 % (3588627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.68 % (3588627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.68 % (3588627)CaDiCaL version: 2.1.3
% 2.75/0.68 % (3588627)Termination reason: Instruction limit
% 2.75/0.68 % (3588627)Termination phase: Saturation
% 2.75/0.68 % (3588627)Time elapsed: 0.052 s
% 2.75/0.68 % (3588627)Peak memory usage: 12 MB
% 2.75/0.68 % (3588627)Instructions burned: 137 (million)
% 2.75/0.68 % (3588653)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3363489898:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.75/0.68 % (3588653)Refutation not found, incomplete strategy
% 2.75/0.68 % (3588653)------------------------------
% 2.75/0.68 % (3588653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.68 % (3588653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.68 % (3588653)CaDiCaL version: 2.1.3
% 2.75/0.68 % (3588653)Termination reason: Refutation not found, incomplete strategy
% 2.75/0.68 % (3588653)Time elapsed: 0.001 s
% 2.75/0.68 % (3588653)Peak memory usage: 12 MB
% 2.75/0.68 % (3588655)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2872868653:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.75/0.68 % (3588653)------------------------------
% 2.75/0.68 % (3588653)------------------------------
% 2.75/0.68 % (3588648)Instruction limit reached!
% 2.75/0.68 % (3588648)------------------------------
% 2.75/0.68 % (3588648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.68 % (3588648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.75 % (3588648)CaDiCaL version: 2.1.3
% 3.08/0.75 % (3588648)Termination reason: Instruction limit
% 3.08/0.75 % (3588648)Termination phase: Saturation
% 3.08/0.75 % (3588648)Time elapsed: 0.044 s
% 3.08/0.75 % (3588648)Peak memory usage: 12 MB
% 3.08/0.75 % (3588648)Instructions burned: 181 (million)
% 3.08/0.75 % (3588659)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3033315327:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 3.08/0.75 % (3588659)Refutation not found, incomplete strategy
% 3.08/0.75 % (3588659)------------------------------
% 3.08/0.75 % (3588659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.75 % (3588659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.75 % (3588659)CaDiCaL version: 2.1.3
% 3.08/0.75 % (3588659)Termination reason: Refutation not found, incomplete strategy
% 3.08/0.75 % (3588659)Time elapsed: 0.001 s
% 3.08/0.75 % (3588659)Peak memory usage: 11 MB
% 3.08/0.75 % (3588659)------------------------------
% 3.08/0.75 % (3588659)------------------------------
% 3.08/0.75 % (3588665)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1825070790:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 3.08/0.75 % (3588665)Refutation not found, incomplete strategy
% 3.08/0.75 % (3588665)------------------------------
% 3.08/0.75 % (3588665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.75 % (3588665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.75 % (3588665)CaDiCaL version: 2.1.3
% 3.08/0.75 % (3588665)Termination reason: Refutation not found, incomplete strategy
% 3.08/0.75 % (3588665)Time elapsed: 0.001 s
% 3.08/0.75 % (3588665)Peak memory usage: 11 MB
% 3.08/0.75 % (3588670)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3528175652:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 3.08/0.75 % (3588665)------------------------------
% 3.08/0.75 % (3588665)------------------------------
% 3.08/0.75 % (3588670)Refutation not found, incomplete strategy
% 3.08/0.75 % (3588670)------------------------------
% 3.08/0.75 % (3588670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.75 % (3588670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.75 % (3588670)CaDiCaL version: 2.1.3
% 3.08/0.75 % (3588670)Termination reason: Refutation not found, incomplete strategy
% 3.08/0.75 % (3588670)Time elapsed: 0.0000 s
% 3.08/0.75 % (3588670)Peak memory usage: 12 MB
% 3.08/0.75 % (3588670)------------------------------
% 3.08/0.75 % (3588670)------------------------------
% 3.08/0.75 % (3588672)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3518161087:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 3.08/0.75 % (3588672)Refutation not found, incomplete strategy
% 3.08/0.75 % (3588672)------------------------------
% 3.08/0.75 % (3588672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.75 % (3588672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.75 % (3588672)CaDiCaL version: 2.1.3
% 3.08/0.75 % (3588672)Termination reason: Refutation not found, incomplete strategy
% 3.08/0.75 % (3588672)Time elapsed: 0.001 s
% 3.08/0.75 % (3588672)Peak memory usage: 11 MB
% 3.08/0.75 % (3588672)Instructions burned: 1 (million)
% 3.08/0.75 % (3588672)------------------------------
% 3.08/0.75 % (3588672)------------------------------
% 3.08/0.75 % (3588679)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=480902575:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 3.08/0.75 % (3588679)Refutation not found, incomplete strategy
% 3.08/0.75 % (3588679)------------------------------
% 3.08/0.75 % (3588679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.75 % (3588679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.75 % (3588679)CaDiCaL version: 2.1.3
% 3.08/0.75 % (3588679)Termination reason: Refutation not found, incomplete strategy
% 3.08/0.75 % (3588679)Time elapsed: 0.001 s
% 3.08/0.75 % (3588679)Peak memory usage: 12 MB
% 3.08/0.75 % (3588679)Instructions burned: 1 (million)
% 3.08/0.75 % (3588678)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2617749818:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 3.08/0.75 % (3588579)Instruction limit reached!
% 3.08/0.75 % (3588579)------------------------------
% 3.54/0.82 % (3588579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.82 % (3588679)------------------------------
% 3.54/0.82 % (3588679)------------------------------
% 3.54/0.82 % (3588579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.82 % (3588579)CaDiCaL version: 2.1.3
% 3.54/0.82 % (3588579)Termination reason: Instruction limit
% 3.54/0.82 % (3588579)Termination phase: Saturation
% 3.54/0.82 % (3588579)Time elapsed: 0.164 s
% 3.54/0.82 % (3588579)Peak memory usage: 13 MB
% 3.54/0.82 % (3588579)Instructions burned: 316 (million)
% 3.54/0.82 % (3588655)Instruction limit reached!
% 3.54/0.82 % (3588655)------------------------------
% 3.54/0.82 % (3588655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.82 % (3588655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.82 % (3588655)CaDiCaL version: 2.1.3
% 3.54/0.82 % (3588655)Termination reason: Instruction limit
% 3.54/0.82 % (3588655)Termination phase: Saturation
% 3.54/0.82 % (3588655)Time elapsed: 0.042 s
% 3.54/0.82 % (3588655)Peak memory usage: 12 MB
% 3.54/0.82 % (3588655)Instructions burned: 98 (million)
% 3.54/0.82 % (3588684)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=884483099:i=450:rtra=on:ixr=off:ntd=on_2996 on theBenchmark for (2996ds/450Mi)
% 3.54/0.82 % (3588688)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=52123964:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.54/0.82 % (3588687)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1485557567:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.54/0.82 % (3588689)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=3920346979:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2995 on theBenchmark for (2995ds/105Mi)
% 3.54/0.82 % (3588688)Instruction limit reached!
% 3.54/0.82 % (3588688)------------------------------
% 3.54/0.82 % (3588688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.82 % (3588688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.82 % (3588688)CaDiCaL version: 2.1.3
% 3.54/0.82 % (3588688)Termination reason: Instruction limit
% 3.54/0.82 % (3588688)Termination phase: Saturation
% 3.54/0.82 % (3588688)Time elapsed: 0.018 s
% 3.54/0.82 % (3588688)Peak memory usage: 12 MB
% 3.54/0.82 % (3588688)Instructions burned: 70 (million)
% 3.54/0.82 % (3588678)Instruction limit reached!
% 3.54/0.82 % (3588678)------------------------------
% 3.54/0.82 % (3588678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.82 % (3588678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.82 % (3588678)CaDiCaL version: 2.1.3
% 3.54/0.82 % (3588678)Termination reason: Instruction limit
% 3.54/0.82 % (3588678)Termination phase: Saturation
% 3.54/0.82 % (3588678)Time elapsed: 0.034 s
% 3.54/0.82 % (3588678)Peak memory usage: 12 MB
% 3.54/0.82 % (3588678)Instructions burned: 44 (million)
% 3.54/0.82 % (3588707)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=3254921890:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.54/0.82 % (3588707)Refutation not found, incomplete strategy
% 3.54/0.82 % (3588707)------------------------------
% 3.54/0.82 % (3588707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.82 % (3588707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.82 % (3588707)CaDiCaL version: 2.1.3
% 3.54/0.82 % (3588707)Termination reason: Refutation not found, incomplete strategy
% 3.54/0.82 % (3588707)Time elapsed: 0.001 s
% 3.54/0.82 % (3588707)Peak memory usage: 12 MB
% 3.54/0.82 % (3588707)------------------------------
% 3.54/0.82 % (3588707)------------------------------
% 3.54/0.82 % (3588708)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=563397772:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.54/0.82 % (3588708)Refutation not found, incomplete strategy
% 4.17/0.92 % (3588708)------------------------------
% 4.17/0.92 % (3588708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.92 % (3588708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.92 % (3588708)CaDiCaL version: 2.1.3
% 4.17/0.92 % (3588708)Termination reason: Refutation not found, incomplete strategy
% 4.17/0.92 % (3588708)Time elapsed: 0.001 s
% 4.17/0.92 % (3588708)Peak memory usage: 11 MB
% 4.17/0.92 % (3588708)------------------------------
% 4.17/0.92 % (3588708)------------------------------
% 4.17/0.92 % (3588687)Instruction limit reached!
% 4.17/0.92 % (3588687)------------------------------
% 4.17/0.92 % (3588687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.92 % (3588687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.92 % (3588687)CaDiCaL version: 2.1.3
% 4.17/0.92 % (3588687)Termination reason: Instruction limit
% 4.17/0.92 % (3588687)Termination phase: Saturation
% 4.17/0.92 % (3588687)Time elapsed: 0.043 s
% 4.17/0.92 % (3588687)Peak memory usage: 12 MB
% 4.17/0.92 % (3588687)Instructions burned: 95 (million)
% 4.17/0.92 % (3588713)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1470288169:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 4.17/0.92 % (3588719)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=3420400442:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 4.17/0.92 % (3588720)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3079921908:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 4.17/0.92 % (3588689)Instruction limit reached!
% 4.17/0.92 % (3588689)------------------------------
% 4.17/0.92 % (3588689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.92 % (3588689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.92 % (3588689)CaDiCaL version: 2.1.3
% 4.17/0.92 % (3588689)Termination reason: Instruction limit
% 4.17/0.92 % (3588689)Termination phase: Saturation
% 4.17/0.92 % (3588689)Time elapsed: 0.065 s
% 4.17/0.92 % (3588689)Peak memory usage: 12 MB
% 4.17/0.92 % (3588689)Instructions burned: 107 (million)
% 4.17/0.92 % (3588719)Instruction limit reached!
% 4.17/0.92 % (3588719)------------------------------
% 4.17/0.92 % (3588719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.92 % (3588719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.92 % (3588719)CaDiCaL version: 2.1.3
% 4.17/0.92 % (3588719)Termination reason: Instruction limit
% 4.17/0.92 % (3588719)Termination phase: Saturation
% 4.17/0.92 % (3588719)Time elapsed: 0.018 s
% 4.17/0.92 % (3588719)Peak memory usage: 12 MB
% 4.17/0.92 % (3588719)Instructions burned: 34 (million)
% 4.17/0.92 % (3588728)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1532101673:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 4.17/0.92 % (3588728)Refutation not found, incomplete strategy
% 4.17/0.92 % (3588728)------------------------------
% 4.17/0.92 % (3588728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.92 % (3588728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.92 % (3588728)CaDiCaL version: 2.1.3
% 4.17/0.92 % (3588728)Termination reason: Refutation not found, incomplete strategy
% 4.17/0.92 % (3588728)Time elapsed: 0.0000 s
% 4.17/0.92 % (3588728)Peak memory usage: 12 MB
% 4.17/0.92 % (3588728)------------------------------
% 4.17/0.92 % (3588728)------------------------------
% 4.17/0.92 % (3588731)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=295396083:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 4.17/0.92 % (3588720)Instruction limit reached!
% 4.17/0.92 % (3588720)------------------------------
% 4.17/0.92 % (3588720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/0.92 % (3588720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/0.92 % (3588720)CaDiCaL version: 2.1.3
% 4.17/0.92 % (3588720)Termination reason: Instruction limit
% 4.17/0.92 % (3588720)Termination phase: Saturation
% 4.17/0.92 % (3588720)Time elapsed: 0.038 s
% 4.17/0.92 % (3588720)Peak memory usage: 12 MB
% 4.17/0.92 % (3588720)Instructions burned: 92 (million)
% 4.17/1.04 % (3588731)Instruction limit reached!
% 4.17/1.04 % (3588731)------------------------------
% 4.17/1.04 % (3588731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/1.04 % (3588731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.04 % (3588731)CaDiCaL version: 2.1.3
% 4.17/1.04 % (3588731)Termination reason: Instruction limit
% 4.17/1.04 % (3588731)Termination phase: Saturation
% 4.17/1.04 % (3588731)Time elapsed: 0.012 s
% 4.17/1.04 % (3588731)Peak memory usage: 12 MB
% 4.17/1.04 % (3588731)Instructions burned: 23 (million)
% 4.17/1.04 % (3588736)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=783692972:i=338:bd=all:ins=4:rtra=on_2994 on theBenchmark for (2994ds/338Mi)
% 4.17/1.04 % (3588745)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 4.17/1.04 % (3588745)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1097824176:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/137Mi)
% 4.17/1.04 % (3588743)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3749348467:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/28Mi)
% 4.17/1.04 % (3588581)Instruction limit reached!
% 4.17/1.04 % (3588581)------------------------------
% 4.17/1.04 % (3588581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/1.04 % (3588581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.04 % (3588581)CaDiCaL version: 2.1.3
% 4.17/1.04 % (3588581)Termination reason: Instruction limit
% 4.17/1.04 % (3588581)Termination phase: Saturation
% 4.17/1.04 % (3588581)Time elapsed: 0.307 s
% 4.17/1.04 % (3588581)Peak memory usage: 13 MB
% 4.17/1.04 % (3588581)Instructions burned: 854 (million)
% 4.17/1.04 % (3588743)Refutation not found, incomplete strategy
% 4.17/1.04 % (3588743)------------------------------
% 4.17/1.04 % (3588743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/1.04 % (3588743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.04 % (3588743)CaDiCaL version: 2.1.3
% 4.17/1.04 % (3588743)Termination reason: Refutation not found, incomplete strategy
% 4.17/1.04 % (3588743)Time elapsed: 0.001 s
% 4.17/1.04 % (3588743)Peak memory usage: 11 MB
% 4.17/1.04 % (3588743)------------------------------
% 4.17/1.04 % (3588743)------------------------------
% 4.17/1.04 % (3588753)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=965488738:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 4.17/1.04 % (3588753)Refutation not found, incomplete strategy
% 4.17/1.04 % (3588753)------------------------------
% 4.17/1.04 % (3588753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/1.04 % (3588753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.04 % (3588753)CaDiCaL version: 2.1.3
% 4.17/1.04 % (3588753)Termination reason: Refutation not found, incomplete strategy
% 4.17/1.04 % (3588753)Time elapsed: 0.0000 s
% 4.17/1.04 % (3588753)Peak memory usage: 12 MB
% 4.17/1.04 % (3588753)------------------------------
% 4.17/1.04 % (3588753)------------------------------
% 4.17/1.04 % (3588752)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=1453479182:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 4.17/1.04 % (3588684)Instruction limit reached!
% 4.17/1.04 % (3588684)------------------------------
% 4.17/1.04 % (3588684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/1.04 % (3588684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.04 % (3588684)CaDiCaL version: 2.1.3
% 4.17/1.04 % (3588684)Termination reason: Instruction limit
% 4.17/1.04 % (3588684)Termination phase: Saturation
% 4.17/1.04 % (3588684)Time elapsed: 0.162 s
% 4.17/1.04 % (3588684)Peak memory usage: 12 MB
% 4.17/1.04 % (3588684)Instructions burned: 450 (million)
% 4.17/1.04 % (3588760)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 4.17/1.04 % (3588760)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2410721168:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 5.76/1.11 % (3588713)Instruction limit reached!
% 5.76/1.11 % (3588713)------------------------------
% 5.76/1.11 % (3588713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.76/1.11 % (3588713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.11 % (3588713)CaDiCaL version: 2.1.3
% 5.76/1.11 % (3588713)Termination reason: Instruction limit
% 5.76/1.11 % (3588713)Termination phase: Saturation
% 5.76/1.11 % (3588713)Time elapsed: 0.122 s
% 5.76/1.11 % (3588713)Peak memory usage: 13 MB
% 5.76/1.11 % (3588713)Instructions burned: 499 (million)
% 5.76/1.11 % (3588763)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=836689926:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 5.76/1.11 % (3588770)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3474415107:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 5.76/1.11 % (3588770)Refutation not found, incomplete strategy
% 5.76/1.11 % (3588770)------------------------------
% 5.76/1.11 % (3588770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.76/1.11 % (3588770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.11 % (3588770)CaDiCaL version: 2.1.3
% 5.76/1.11 % (3588770)Termination reason: Refutation not found, incomplete strategy
% 5.76/1.11 % (3588770)Time elapsed: 0.001 s
% 5.76/1.11 % (3588770)Peak memory usage: 11 MB
% 5.76/1.11 % (3588770)Instructions burned: 1 (million)
% 5.76/1.11 % (3588745)Instruction limit reached!
% 5.76/1.11 % (3588745)------------------------------
% 5.76/1.11 % (3588745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.76/1.11 % (3588745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.11 % (3588745)CaDiCaL version: 2.1.3
% 5.76/1.11 % (3588745)Termination reason: Instruction limit
% 5.76/1.11 % (3588745)Termination phase: Saturation
% 5.76/1.11 % (3588745)Time elapsed: 0.063 s
% 5.76/1.11 % (3588745)Peak memory usage: 12 MB
% 5.76/1.11 % (3588745)Instructions burned: 137 (million)
% 5.76/1.11 % (3588770)------------------------------
% 5.76/1.11 % (3588770)------------------------------
% 5.76/1.11 % (3588781)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1783573709:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.76/1.11 % (3588782)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=1489485739:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/9840Mi)
% 5.76/1.11 % (3588546)Instruction limit reached!
% 5.76/1.11 % (3588546)------------------------------
% 5.76/1.11 % (3588546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.76/1.11 % (3588546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.11 % (3588546)CaDiCaL version: 2.1.3
% 5.76/1.11 % (3588546)Termination reason: Instruction limit
% 5.76/1.11 % (3588546)Termination phase: Saturation
% 5.76/1.11 % (3588546)Time elapsed: 0.476 s
% 5.76/1.11 % (3588546)Peak memory usage: 13 MB
% 5.76/1.11 % (3588546)Instructions burned: 1241 (million)
% 5.76/1.11 % (3588763)Instruction limit reached!
% 5.76/1.11 % (3588763)------------------------------
% 5.76/1.11 % (3588763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.76/1.11 % (3588763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.11 % (3588763)CaDiCaL version: 2.1.3
% 5.76/1.11 % (3588763)Termination reason: Instruction limit
% 5.76/1.11 % (3588763)Termination phase: Saturation
% 5.76/1.11 % (3588763)Time elapsed: 0.073 s
% 5.76/1.11 % (3588763)Peak memory usage: 12 MB
% 5.76/1.11 % (3588763)Instructions burned: 117 (million)
% 5.76/1.11 % (3588798)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3793230259:i=421:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/421Mi)
% 5.76/1.11 % (3588798)Refutation not found, incomplete strategy
% 5.76/1.11 % (3588798)------------------------------
% 5.76/1.11 % (3588798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.76/1.11 % (3588798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.11 % (3588798)CaDiCaL version: 2.1.3
% 6.36/1.18 % (3588798)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.18 % (3588798)Time elapsed: 0.001 s
% 6.36/1.18 % (3588798)Peak memory usage: 11 MB
% 6.36/1.18 % (3588798)------------------------------
% 6.36/1.18 % (3588798)------------------------------
% 6.36/1.18 % (3588799)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 6.36/1.18 % (3588799)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=1058732944:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 6.36/1.18 % (3588781)Instruction limit reached!
% 6.36/1.18 % (3588781)------------------------------
% 6.36/1.18 % (3588781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.18 % (3588781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.18 % (3588781)CaDiCaL version: 2.1.3
% 6.36/1.18 % (3588781)Termination reason: Instruction limit
% 6.36/1.18 % (3588781)Termination phase: Saturation
% 6.36/1.18 % (3588781)Time elapsed: 0.105 s
% 6.36/1.18 % (3588781)Peak memory usage: 12 MB
% 6.36/1.18 % (3588781)Instructions burned: 271 (million)
% 6.36/1.18 % (3588736)Instruction limit reached!
% 6.36/1.18 % (3588736)------------------------------
% 6.36/1.18 % (3588736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.18 % (3588736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.18 % (3588736)CaDiCaL version: 2.1.3
% 6.36/1.18 % (3588736)Termination reason: Instruction limit
% 6.36/1.18 % (3588736)Termination phase: Saturation
% 6.36/1.18 % (3588736)Time elapsed: 0.208 s
% 6.36/1.18 % (3588736)Peak memory usage: 14 MB
% 6.36/1.18 % (3588736)Instructions burned: 338 (million)
% 6.36/1.18 % (3588808)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=454517022:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/31Mi)
% 6.36/1.18 % (3588820)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 6.36/1.18 % (3588820)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
% 6.36/1.18 % (3588820)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=1523923754:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2992 on theBenchmark for (2992ds/1440Mi)
% 6.36/1.18 % (3588808)Instruction limit reached!
% 6.36/1.18 % (3588808)------------------------------
% 6.36/1.18 % (3588808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.18 % (3588808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.18 % (3588808)CaDiCaL version: 2.1.3
% 6.36/1.18 % (3588808)Termination reason: Instruction limit
% 6.36/1.18 % (3588808)Termination phase: Saturation
% 6.36/1.18 % (3588808)Time elapsed: 0.028 s
% 6.36/1.18 % (3588808)Peak memory usage: 12 MB
% 6.36/1.18 % (3588808)Instructions burned: 31 (million)
% 6.36/1.18 % (3588823)dis+10_2_sil=128000:si=on:random_seed=2548280230:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2992 on theBenchmark for (2992ds/339Mi)
% 6.36/1.18 % (3588823)Refutation not found, incomplete strategy
% 6.36/1.18 % (3588823)------------------------------
% 6.36/1.18 % (3588823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.18 % (3588823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.18 % (3588823)CaDiCaL version: 2.1.3
% 6.36/1.18 % (3588823)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.18 % (3588823)Time elapsed: 0.001 s
% 6.36/1.18 % (3588823)Peak memory usage: 11 MB
% 6.36/1.18 % (3588823)------------------------------
% 6.36/1.18 % (3588823)------------------------------
% 6.36/1.18 % (3588835)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1152098445:i=111:add=on:fgj=on:rtra=on:fdi=1024_2992 on theBenchmark for (2992ds/111Mi)
% 6.36/1.18 % (3588837)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=3084969610:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/122Mi)
% 6.79/1.35 % (3588752)Instruction limit reached!
% 6.79/1.35 % (3588752)------------------------------
% 6.79/1.35 % (3588752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.35 % (3588752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.35 % (3588752)CaDiCaL version: 2.1.3
% 6.79/1.35 % (3588837)Refutation not found, incomplete strategy
% 6.79/1.35 % (3588837)------------------------------
% 6.79/1.35 % (3588837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.35 % (3588752)Termination reason: Instruction limit
% 6.79/1.35 % (3588752)Termination phase: Saturation
% 6.79/1.35 % (3588752)Time elapsed: 0.240 s
% 6.79/1.35 % (3588752)Peak memory usage: 13 MB
% 6.79/1.35 % (3588837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.35 % (3588752)Instructions burned: 341 (million)
% 6.79/1.35 % (3588837)CaDiCaL version: 2.1.3
% 6.79/1.35 % (3588837)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.35 % (3588837)Time elapsed: 0.001 s
% 6.79/1.35 % (3588837)Peak memory usage: 11 MB
% 6.79/1.35 % (3588837)------------------------------
% 6.79/1.35 % (3588837)------------------------------
% 6.79/1.35 % (3588851)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2913532872:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/232Mi)
% 6.79/1.35 % (3588850)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=1201064501:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/136Mi)
% 6.79/1.35 % (3588851)Refutation not found, incomplete strategy
% 6.79/1.35 % (3588851)------------------------------
% 6.79/1.35 % (3588851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.35 % (3588851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.35 % (3588851)CaDiCaL version: 2.1.3
% 6.79/1.35 % (3588851)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.35 % (3588851)Time elapsed: 0.001 s
% 6.79/1.35 % (3588851)Peak memory usage: 11 MB
% 6.79/1.35 % (3588850)Refutation not found, incomplete strategy
% 6.79/1.35 % (3588850)------------------------------
% 6.79/1.35 % (3588850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.35 % (3588850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.35 % (3588850)CaDiCaL version: 2.1.3
% 6.79/1.35 % (3588850)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.35 % (3588850)Time elapsed: 0.002 s
% 6.79/1.35 % (3588850)Peak memory usage: 11 MB
% 6.79/1.35 % (3588850)Instructions burned: 1 (million)
% 6.79/1.35 % (3588851)------------------------------
% 6.79/1.35 % (3588851)------------------------------
% 6.79/1.35 % (3588850)------------------------------
% 6.79/1.35 % (3588850)------------------------------
% 6.79/1.35 % (3588760)Instruction limit reached!
% 6.79/1.35 % (3588760)------------------------------
% 6.79/1.35 % (3588760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.35 % (3588760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.35 % (3588760)CaDiCaL version: 2.1.3
% 6.79/1.35 % (3588760)Termination reason: Instruction limit
% 6.79/1.35 % (3588760)Termination phase: Saturation
% 6.79/1.35 % (3588760)Time elapsed: 0.268 s
% 6.79/1.35 % (3588760)Peak memory usage: 12 MB
% 6.79/1.35 % (3588760)Instructions burned: 373 (million)
% 6.79/1.35 % (3588868)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.79/1.35 % (3588870)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2246184969:i=619:add=on:rtra=on_2991 on theBenchmark for (2991ds/619Mi)
% 6.79/1.35 % (3588870)Refutation not found, incomplete strategy
% 6.79/1.35 % (3588870)------------------------------
% 6.79/1.35 % (3588870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.35 % (3588870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.35 % (3588870)CaDiCaL version: 2.1.3
% 6.79/1.35 % (3588870)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.35 % (3588870)Time elapsed: 0.002 s
% 6.79/1.35 % (3588870)Peak memory usage: 12 MB
% 6.79/1.35 % (3588870)Instructions burned: 2 (million)
% 6.79/1.35 % (3588870)------------------------------
% 7.79/1.49 % (3588870)------------------------------
% 7.79/1.49 % (3588868)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=499538366:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2991 on theBenchmark for (2991ds/281Mi)
% 7.79/1.49 % (3588867)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=3590359887:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/1254Mi)
% 7.79/1.49 % (3588867)Refutation not found, incomplete strategy
% 7.79/1.49 % (3588867)------------------------------
% 7.79/1.49 % (3588867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.49 % (3588867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.49 % (3588867)CaDiCaL version: 2.1.3
% 7.79/1.49 % (3588867)Termination reason: Refutation not found, incomplete strategy
% 7.79/1.49 % (3588867)Time elapsed: 0.004 s
% 7.79/1.49 % (3588867)Peak memory usage: 11 MB
% 7.79/1.49 % (3588867)Instructions burned: 2 (million)
% 7.79/1.49 % (3588867)------------------------------
% 7.79/1.49 % (3588867)------------------------------
% 7.79/1.49 % (3588835)Instruction limit reached!
% 7.79/1.49 % (3588835)------------------------------
% 7.79/1.49 % (3588835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.49 % (3588835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.49 % (3588835)CaDiCaL version: 2.1.3
% 7.79/1.49 % (3588835)Termination reason: Instruction limit
% 7.79/1.49 % (3588835)Termination phase: Saturation
% 7.79/1.49 % (3588835)Time elapsed: 0.090 s
% 7.79/1.49 % (3588835)Peak memory usage: 12 MB
% 7.79/1.49 % (3588835)Instructions burned: 111 (million)
% 7.79/1.49 % (3588878)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=1624071049:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/865Mi)
% 7.79/1.49 % (3588799)Instruction limit reached!
% 7.79/1.49 % (3588799)------------------------------
% 7.79/1.49 % (3588799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.49 % (3588799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.49 % (3588799)CaDiCaL version: 2.1.3
% 7.79/1.49 % (3588799)Termination reason: Instruction limit
% 7.79/1.49 % (3588799)Termination phase: Saturation
% 7.79/1.49 % (3588799)Time elapsed: 0.212 s
% 7.79/1.49 % (3588799)Peak memory usage: 13 MB
% 7.79/1.49 % (3588799)Instructions burned: 270 (million)
% 7.79/1.49 % (3588881)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1287788967:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/212Mi)
% 7.79/1.49 % (3588881)Refutation not found, incomplete strategy
% 7.79/1.49 % (3588881)------------------------------
% 7.79/1.49 % (3588881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.49 % (3588881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.49 % (3588881)CaDiCaL version: 2.1.3
% 7.79/1.49 % (3588881)Termination reason: Refutation not found, incomplete strategy
% 7.79/1.49 % (3588881)Time elapsed: 0.001 s
% 7.79/1.49 % (3588881)Peak memory usage: 11 MB
% 7.79/1.49 % (3588882)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2544292904:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 7.79/1.49 % (3588881)------------------------------
% 7.79/1.49 % (3588881)------------------------------
% 7.79/1.49 % (3588882)Refutation not found, incomplete strategy
% 7.79/1.49 % (3588882)------------------------------
% 7.79/1.49 % (3588882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.49 % (3588882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.49 % (3588882)CaDiCaL version: 2.1.3
% 7.79/1.49 % (3588882)Termination reason: Refutation not found, incomplete strategy
% 7.79/1.49 % (3588882)Time elapsed: 0.001 s
% 7.79/1.49 % (3588882)Peak memory usage: 11 MB
% 7.79/1.49 % (3588882)------------------------------
% 7.79/1.49 % (3588882)------------------------------
% 7.79/1.49 % (3588891)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4248644663:st=1.5:i=346:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/346Mi)
% 7.79/1.49 % (3588891)Refutation not found, incomplete strategy
% 7.79/1.49 % (3588891)------------------------------
% 7.79/1.49 % (3588891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.74 % (3588891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.74 % (3588891)CaDiCaL version: 2.1.3
% 8.81/1.74 % (3588891)Termination reason: Refutation not found, incomplete strategy
% 8.81/1.74 % (3588891)Time elapsed: 0.001 s
% 8.81/1.74 % (3588891)Peak memory usage: 11 MB
% 8.81/1.74 % (3588891)Instructions burned: 1 (million)
% 8.81/1.74 % (3588891)------------------------------
% 8.81/1.74 % (3588891)------------------------------
% 8.81/1.74 % (3588895)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=221272422:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/152Mi)
% 8.81/1.74 % (3588896)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3147909522:i=75:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/75Mi)
% 8.81/1.74 % (3588904)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=434858665:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/387Mi)
% 8.81/1.74 % (3588904)Refutation not found, incomplete strategy
% 8.81/1.74 % (3588904)------------------------------
% 8.81/1.74 % (3588904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.74 % (3588904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.74 % (3588904)CaDiCaL version: 2.1.3
% 8.81/1.74 % (3588904)Termination reason: Refutation not found, incomplete strategy
% 8.81/1.74 % (3588904)Time elapsed: 0.002 s
% 8.81/1.74 % (3588904)Peak memory usage: 11 MB
% 8.81/1.74 % (3588904)Instructions burned: 1 (million)
% 8.81/1.74 % (3588904)------------------------------
% 8.81/1.74 % (3588904)------------------------------
% 8.81/1.74 % (3588896)Instruction limit reached!
% 8.81/1.74 % (3588896)------------------------------
% 8.81/1.74 % (3588896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.74 % (3588896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.74 % (3588896)CaDiCaL version: 2.1.3
% 8.81/1.74 % (3588896)Termination reason: Instruction limit
% 8.81/1.74 % (3588896)Termination phase: Saturation
% 8.81/1.74 % (3588896)Time elapsed: 0.058 s
% 8.81/1.74 % (3588896)Peak memory usage: 12 MB
% 8.81/1.74 % (3588896)Instructions burned: 76 (million)
% 8.81/1.74 % (3588913)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=1115612597:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2990 on theBenchmark for (2990ds/148Mi)
% 8.81/1.74 % (3588919)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=271947817:i=161:piset=and:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/161Mi)
% 8.81/1.74 % (3588895)Instruction limit reached!
% 8.81/1.74 % (3588895)------------------------------
% 8.81/1.74 % (3588895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.74 % (3588895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.74 % (3588895)CaDiCaL version: 2.1.3
% 8.81/1.74 % (3588895)Termination reason: Instruction limit
% 8.81/1.74 % (3588895)Termination phase: Saturation
% 8.81/1.74 % (3588895)Time elapsed: 0.127 s
% 8.81/1.74 % (3588895)Peak memory usage: 12 MB
% 8.81/1.74 % (3588895)Instructions burned: 152 (million)
% 8.81/1.74 % (3588928)lrs+10_1_sil=128000:si=on:random_seed=1562209756:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/888Mi)
% 8.81/1.74 % (3588928)Refutation not found, incomplete strategy
% 8.81/1.74 % (3588928)------------------------------
% 8.81/1.74 % (3588928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.74 % (3588928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.74 % (3588928)CaDiCaL version: 2.1.3
% 8.81/1.74 % (3588928)Termination reason: Refutation not found, incomplete strategy
% 8.81/1.74 % (3588928)Time elapsed: 0.001 s
% 8.81/1.74 % (3588928)Peak memory usage: 11 MB
% 8.81/1.74 % (3588928)------------------------------
% 8.81/1.74 % (3588928)------------------------------
% 8.81/1.74 % (3588868)Instruction limit reached!
% 8.81/1.74 % (3588868)------------------------------
% 8.81/1.74 % (3588868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.74 % (3588868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.74 % (3588868)CaDiCaL version: 2.1.3
% 8.81/1.74 % (3588868)Termination reason: Instruction limit
% 8.81/1.74 % (3588868)Termination phase: Saturation
% 10.05/1.92 % (3588868)Time elapsed: 0.247 s
% 10.05/1.92 % (3588868)Peak memory usage: 13 MB
% 10.05/1.92 % (3588868)Instructions burned: 283 (million)
% 10.05/1.92 % (3588913)Instruction limit reached!
% 10.05/1.92 % (3588913)------------------------------
% 10.05/1.92 % (3588913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.05/1.92 % (3588913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.05/1.92 % (3588913)CaDiCaL version: 2.1.3
% 10.05/1.92 % (3588913)Termination reason: Instruction limit
% 10.05/1.92 % (3588913)Termination phase: Saturation
% 10.05/1.92 % (3588913)Time elapsed: 0.124 s
% 10.05/1.92 % (3588913)Peak memory usage: 12 MB
% 10.05/1.92 % (3588913)Instructions burned: 149 (million)
% 10.05/1.92 % (3588937)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=799490246:i=136:add=on:ins=4:rtra=on:sup=off_2988 on theBenchmark for (2988ds/136Mi)
% 10.05/1.92 % (3588919)Instruction limit reached!
% 10.05/1.92 % (3588919)------------------------------
% 10.05/1.92 % (3588919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.05/1.92 % (3588919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.05/1.92 % (3588919)CaDiCaL version: 2.1.3
% 10.05/1.92 % (3588919)Termination reason: Instruction limit
% 10.05/1.92 % (3588919)Termination phase: Saturation
% 10.05/1.92 % (3588919)Time elapsed: 0.103 s
% 10.05/1.92 % (3588919)Peak memory usage: 12 MB
% 10.05/1.92 % (3588919)Instructions burned: 163 (million)
% 10.05/1.92 % (3588938)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=2199511238:i=88:s2at=3:nm=2:rtra=on:rawr=on_2988 on theBenchmark for (2988ds/88Mi)
% 10.05/1.92 % (3588820)Instruction limit reached!
% 10.05/1.92 % (3588820)------------------------------
% 10.05/1.92 % (3588820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.05/1.92 % (3588820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.05/1.92 % (3588820)CaDiCaL version: 2.1.3
% 10.05/1.92 % (3588820)Termination reason: Instruction limit
% 10.05/1.92 % (3588820)Termination phase: Saturation
% 10.05/1.92 % (3588820)Time elapsed: 0.423 s
% 10.05/1.92 % (3588820)Peak memory usage: 13 MB
% 10.05/1.92 % (3588820)Instructions burned: 1441 (million)
% 10.05/1.92 % (3588944)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2870864521:i=2186:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/2186Mi)
% 10.05/1.92 % (3588942)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3775188582:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2988 on theBenchmark for (2988ds/93Mi)
% 10.05/1.92 % (3588950)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=539265517:s2a=on:i=240:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/240Mi)
% 10.05/1.92 % (3588938)Instruction limit reached!
% 10.05/1.92 % (3588938)------------------------------
% 10.05/1.92 % (3588938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.05/1.92 % (3588938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.05/1.92 % (3588938)CaDiCaL version: 2.1.3
% 10.05/1.92 % (3588938)Termination reason: Instruction limit
% 10.05/1.92 % (3588938)Termination phase: Saturation
% 10.05/1.92 % (3588938)Time elapsed: 0.068 s
% 10.05/1.92 % (3588938)Peak memory usage: 12 MB
% 10.05/1.92 % (3588938)Instructions burned: 88 (million)
% 10.05/1.92 % (3588937)Instruction limit reached!
% 10.05/1.92 % (3588937)------------------------------
% 10.05/1.92 % (3588937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.05/1.92 % (3588937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.05/1.92 % (3588937)CaDiCaL version: 2.1.3
% 10.05/1.92 % (3588937)Termination reason: Instruction limit
% 10.05/1.92 % (3588937)Termination phase: Saturation
% 10.05/1.92 % (3588937)Time elapsed: 0.100 s
% 10.05/1.92 % (3588937)Peak memory usage: 11 MB
% 10.05/1.92 % (3588937)Instructions burned: 137 (million)
% 10.05/1.92 % (3588966)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=291444444:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/805Mi)
% 10.05/1.92 % (3588942)Instruction limit reached!
% 10.05/1.92 % (3588942)------------------------------
% 10.05/1.92 % (3588942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.75/2.07 % (3588942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.07 % (3588942)CaDiCaL version: 2.1.3
% 12.75/2.07 % (3588942)Termination reason: Instruction limit
% 12.75/2.07 % (3588942)Termination phase: Saturation
% 12.75/2.07 % (3588942)Time elapsed: 0.080 s
% 12.75/2.07 % (3588942)Peak memory usage: 12 MB
% 12.75/2.07 % (3588942)Instructions burned: 93 (million)
% 12.75/2.07 % (3588974)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 12.75/2.07 % (3588974)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=1060832840:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2987 on theBenchmark for (2987ds/391Mi)
% 12.75/2.07 % (3588974)Refutation not found, incomplete strategy
% 12.75/2.07 % (3588974)------------------------------
% 12.75/2.07 % (3588974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.75/2.07 % (3588974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.07 % (3588974)CaDiCaL version: 2.1.3
% 12.75/2.07 % (3588974)Termination reason: Refutation not found, incomplete strategy
% 12.75/2.07 % (3588974)Time elapsed: 0.001 s
% 12.75/2.07 % (3588974)Peak memory usage: 12 MB
% 12.75/2.07 % (3588974)Instructions burned: 1 (million)
% 12.75/2.07 % (3588974)------------------------------
% 12.75/2.07 % (3588974)------------------------------
% 12.75/2.07 % (3588980)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1808099853:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/314Mi)
% 12.75/2.07 % (3588980)Refutation not found, incomplete strategy
% 12.75/2.07 % (3588980)------------------------------
% 12.75/2.07 % (3588980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.75/2.07 % (3588980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.07 % (3588980)CaDiCaL version: 2.1.3
% 12.75/2.07 % (3588980)Termination reason: Refutation not found, incomplete strategy
% 12.75/2.07 % (3588980)Time elapsed: 0.0000 s
% 12.75/2.07 % (3588980)Peak memory usage: 11 MB
% 12.75/2.07 % (3588980)------------------------------
% 12.75/2.07 % (3588980)------------------------------
% 12.75/2.07 % (3588976)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1324937565:i=355:av=off:fsr=off:rtra=on:ixr=off_2987 on theBenchmark for (2987ds/355Mi)
% 12.75/2.07 % (3588985)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3335853374:s2a=on:i=251:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/251Mi)
% 12.75/2.07 % (3588950)Instruction limit reached!
% 12.75/2.07 % (3588950)------------------------------
% 12.75/2.07 % (3588950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.75/2.07 % (3588950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.07 % (3588950)CaDiCaL version: 2.1.3
% 12.75/2.07 % (3588950)Termination reason: Instruction limit
% 12.75/2.07 % (3588950)Termination phase: Saturation
% 12.75/2.07 % (3588950)Time elapsed: 0.154 s
% 12.75/2.07 % (3588950)Peak memory usage: 12 MB
% 12.75/2.07 % (3588950)Instructions burned: 241 (million)
% 12.75/2.07 % (3588993)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=3407098997: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_2986 on theBenchmark for (2986ds/2470Mi)
% 12.75/2.07 % (3588985)Instruction limit reached!
% 12.75/2.07 % (3588985)------------------------------
% 12.75/2.07 % (3588985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.75/2.07 % (3588985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.07 % (3588985)CaDiCaL version: 2.1.3
% 12.75/2.07 % (3588985)Termination reason: Instruction limit
% 12.75/2.07 % (3588985)Termination phase: Saturation
% 12.75/2.07 % (3588985)Time elapsed: 0.104 s
% 12.75/2.07 % (3588985)Peak memory usage: 12 MB
% 12.75/2.07 % (3588985)Instructions burned: 252 (million)
% 12.75/2.07 % (3589000)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=643489614:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2985 on theBenchmark for (2985ds/673Mi)
% 12.75/2.07 % (3588878)Instruction limit reached!
% 12.75/2.07 % (3588878)------------------------------
% 13.47/2.24 % (3588878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.47/2.24 % (3588878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.24 % (3588878)CaDiCaL version: 2.1.3
% 13.47/2.24 % (3588878)Termination reason: Instruction limit
% 13.47/2.24 % (3588878)Termination phase: Saturation
% 13.47/2.24 % (3588878)Time elapsed: 0.594 s
% 13.47/2.24 % (3588878)Peak memory usage: 15 MB
% 13.47/2.24 % (3588878)Instructions burned: 865 (million)
% 13.47/2.24 % (3589011)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=4058662764:i=116:ep=RSTC:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/116Mi)
% 13.47/2.24 % (3588976)Instruction limit reached!
% 13.47/2.24 % (3588976)------------------------------
% 13.47/2.24 % (3588976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.47/2.24 % (3588976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.24 % (3588976)CaDiCaL version: 2.1.3
% 13.47/2.24 % (3588976)Termination reason: Instruction limit
% 13.47/2.24 % (3588976)Termination phase: Saturation
% 13.47/2.24 % (3588976)Time elapsed: 0.259 s
% 13.47/2.24 % (3588976)Peak memory usage: 12 MB
% 13.47/2.24 % (3588976)Instructions burned: 356 (million)
% 13.47/2.24 % (3589011)Instruction limit reached!
% 13.47/2.24 % (3589011)------------------------------
% 13.47/2.24 % (3589011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.47/2.24 % (3589011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.24 % (3589011)CaDiCaL version: 2.1.3
% 13.47/2.24 % (3589011)Termination reason: Instruction limit
% 13.47/2.24 % (3589011)Termination phase: Saturation
% 13.47/2.24 % (3589011)Time elapsed: 0.051 s
% 13.47/2.24 % (3589011)Peak memory usage: 12 MB
% 13.47/2.24 % (3589011)Instructions burned: 117 (million)
% 13.47/2.24 % (3589018)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2974609989:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2984 on theBenchmark for (2984ds/270Mi)
% 13.47/2.24 % (3589020)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=1228519045: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_2984 on theBenchmark for (2984ds/30Mi)
% 13.47/2.24 % (3589020)Instruction limit reached!
% 13.47/2.24 % (3589020)------------------------------
% 13.47/2.24 % (3589020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.47/2.24 % (3589020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.24 % (3589020)CaDiCaL version: 2.1.3
% 13.47/2.24 % (3589020)Termination reason: Instruction limit
% 13.47/2.24 % (3589020)Termination phase: Saturation
% 13.47/2.24 % (3589020)Time elapsed: 0.016 s
% 13.47/2.24 % (3589020)Peak memory usage: 12 MB
% 13.47/2.24 % (3589020)Instructions burned: 32 (million)
% 13.47/2.24 % (3589026)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 13.47/2.24 % (3589026)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=596701125:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2983 on theBenchmark for (2983ds/39Mi)
% 13.47/2.24 % (3589026)Instruction limit reached!
% 13.47/2.24 % (3589026)------------------------------
% 13.47/2.24 % (3589026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.47/2.24 % (3589026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.24 % (3589026)CaDiCaL version: 2.1.3
% 13.47/2.24 % (3589026)Termination reason: Instruction limit
% 13.47/2.24 % (3589026)Termination phase: Saturation
% 13.47/2.24 % (3589026)Time elapsed: 0.026 s
% 13.47/2.24 % (3589026)Peak memory usage: 12 MB
% 13.47/2.24 % (3589026)Instructions burned: 39 (million)
% 13.47/2.24 % (3589000)Instruction limit reached!
% 13.47/2.24 % (3589000)------------------------------
% 13.47/2.24 % (3589000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.47/2.24 % (3589000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.24 % (3589000)CaDiCaL version: 2.1.3
% 13.47/2.24 % (3589000)Termination reason: Instruction limit
% 13.47/2.24 % (3589000)Termination phase: Saturation
% 13.47/2.24 % (3589000)Time elapsed: 0.237 s
% 13.47/2.24 % (3589000)Peak memory usage: 12 MB
% 13.47/2.24 % (3589000)Instructions burned: 675 (million)
% 13.47/2.24 % (3589031)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4012001355:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2983 on theBenchmark for (2983ds/365Mi)
% 15.42/2.52 % (3589032)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=664511293:i=158:av=off:rtra=on_2983 on theBenchmark for (2983ds/158Mi)
% 15.42/2.52 % (3588966)Instruction limit reached!
% 15.42/2.52 % (3588966)------------------------------
% 15.42/2.52 % (3588966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.42/2.52 % (3588966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.42/2.52 % (3588966)CaDiCaL version: 2.1.3
% 15.42/2.52 % (3588966)Termination reason: Instruction limit
% 15.42/2.52 % (3588966)Termination phase: Saturation
% 15.42/2.52 % (3588966)Time elapsed: 0.475 s
% 15.42/2.52 % (3588966)Peak memory usage: 13 MB
% 15.42/2.52 % (3588966)Instructions burned: 806 (million)
% 15.42/2.52 % (3589045)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
% 15.42/2.52 % (3589045)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=3366241420:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/252Mi)
% 15.42/2.52 % (3589032)Instruction limit reached!
% 15.42/2.52 % (3589032)------------------------------
% 15.42/2.52 % (3589032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.42/2.52 % (3589032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.42/2.52 % (3589032)CaDiCaL version: 2.1.3
% 15.42/2.52 % (3589032)Termination reason: Instruction limit
% 15.42/2.52 % (3589032)Termination phase: Saturation
% 15.42/2.52 % (3589032)Time elapsed: 0.093 s
% 15.42/2.52 % (3589032)Peak memory usage: 12 MB
% 15.42/2.52 % (3589032)Instructions burned: 160 (million)
% 15.42/2.52 % (3589018)Instruction limit reached!
% 15.42/2.52 % (3589018)------------------------------
% 15.42/2.52 % (3589018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.42/2.52 % (3589018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.42/2.52 % (3589018)CaDiCaL version: 2.1.3
% 15.42/2.52 % (3589018)Termination reason: Instruction limit
% 15.42/2.52 % (3589018)Termination phase: Saturation
% 15.42/2.52 % (3589018)Time elapsed: 0.216 s
% 15.42/2.52 % (3589018)Peak memory usage: 12 MB
% 15.42/2.52 % (3589018)Instructions burned: 271 (million)
% 15.42/2.52 % (3589058)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=1316173917:i=213:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/213Mi)
% 15.42/2.52 % (3589058)Refutation not found, incomplete strategy
% 15.42/2.52 % (3589058)------------------------------
% 15.42/2.52 % (3589058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.42/2.52 % (3589058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.42/2.52 % (3589058)CaDiCaL version: 2.1.3
% 15.42/2.52 % (3589058)Termination reason: Refutation not found, incomplete strategy
% 15.42/2.52 % (3589058)Time elapsed: 0.001 s
% 15.42/2.52 % (3589058)Peak memory usage: 11 MB
% 15.42/2.52 % (3589058)------------------------------
% 15.42/2.52 % (3589058)------------------------------
% 15.42/2.52 % (3589045)Instruction limit reached!
% 15.42/2.52 % (3589045)------------------------------
% 15.42/2.52 % (3589045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.42/2.52 % (3589045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.42/2.52 % (3589045)CaDiCaL version: 2.1.3
% 15.42/2.52 % (3589045)Termination reason: Instruction limit
% 15.42/2.52 % (3589045)Termination phase: Saturation
% 15.42/2.52 % (3589045)Time elapsed: 0.088 s
% 15.42/2.52 % (3589045)Peak memory usage: 12 MB
% 15.42/2.52 % (3589045)Instructions burned: 252 (million)
% 15.42/2.52 % (3589062)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=2003989832:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/160Mi)
% 15.42/2.52 % (3589062)Refutation not found, incomplete strategy
% 15.42/2.52 % (3589062)------------------------------
% 15.42/2.52 % (3589062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.42/2.52 % (3589062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.42/2.52 % (3589062)CaDiCaL version: 2.1.3
% 16.42/2.62 % (3589062)Termination reason: Refutation not found, incomplete strategy
% 16.42/2.62 % (3589062)Time elapsed: 0.001 s
% 16.42/2.62 % (3589062)Peak memory usage: 12 MB
% 16.42/2.62 % (3589062)------------------------------
% 16.42/2.62 % (3589062)------------------------------
% 16.42/2.62 % (3589067)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1328701584:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/763Mi)
% 16.42/2.62 % (3589069)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 16.42/2.62 % (3589069)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=1435964332:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2981 on theBenchmark for (2981ds/237Mi)
% 16.42/2.62 % (3589069)Refutation not found, incomplete strategy
% 16.42/2.62 % (3589069)------------------------------
% 16.42/2.62 % (3589069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.42/2.62 % (3589069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/2.62 % (3589069)CaDiCaL version: 2.1.3
% 16.42/2.62 % (3589069)Termination reason: Refutation not found, incomplete strategy
% 16.42/2.62 % (3589069)Time elapsed: 0.001 s
% 16.42/2.62 % (3589069)Peak memory usage: 11 MB
% 16.42/2.62 % (3589069)------------------------------
% 16.42/2.62 % (3589069)------------------------------
% 16.42/2.62 % (3589071)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=1384628299:s2a=on:i=386:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/386Mi)
% 16.42/2.62 % (3589076)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=36020060:i=300:piset=and:nm=32:rtra=on_2981 on theBenchmark for (2981ds/300Mi)
% 16.42/2.62 % (3589031)Instruction limit reached!
% 16.42/2.62 % (3589031)------------------------------
% 16.42/2.62 % (3589031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.42/2.62 % (3589031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/2.62 % (3589031)CaDiCaL version: 2.1.3
% 16.42/2.62 % (3589031)Termination reason: Instruction limit
% 16.42/2.62 % (3589031)Termination phase: Saturation
% 16.42/2.62 % (3589031)Time elapsed: 0.215 s
% 16.42/2.62 % (3589031)Peak memory usage: 13 MB
% 16.42/2.62 % (3589031)Instructions burned: 365 (million)
% 16.42/2.62 % (3589081)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2606532507:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/567Mi)
% 16.42/2.62 % (3589081)Refutation not found, incomplete strategy
% 16.42/2.62 % (3589081)------------------------------
% 16.42/2.62 % (3589081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.42/2.62 % (3589081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/2.62 % (3589081)CaDiCaL version: 2.1.3
% 16.42/2.62 % (3589081)Termination reason: Refutation not found, incomplete strategy
% 16.42/2.62 % (3589081)Time elapsed: 0.002 s
% 16.42/2.62 % (3589081)Peak memory usage: 11 MB
% 16.42/2.62 % (3589081)Instructions burned: 1 (million)
% 16.42/2.62 % (3589081)------------------------------
% 16.42/2.62 % (3589081)------------------------------
% 16.42/2.62 % (3589085)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=2063343567:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2980 on theBenchmark for (2980ds/379Mi)
% 16.42/2.62 % (3589085)Refutation not found, incomplete strategy
% 16.42/2.62 % (3589085)------------------------------
% 16.42/2.62 % (3589085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.42/2.62 % (3589085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.42/2.62 % (3589085)CaDiCaL version: 2.1.3
% 16.42/2.62 % (3589085)Termination reason: Refutation not found, incomplete strategy
% 16.42/2.62 % (3589085)Time elapsed: 0.001 s
% 16.42/2.62 % (3589085)Peak memory usage: 12 MB
% 16.42/2.62 % (3589085)------------------------------
% 16.42/2.62 % (3589085)------------------------------
% 16.42/2.62 % (3589089)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=512509502:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2980 on theBenchmark for (2980ds/429Mi)
% 16.42/2.62 % (3589076)Instruction limit reached!
% 16.42/2.62 % (3589076)------------------------------
% 16.42/2.62 % (3589076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.06/2.77 % (3589076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.06/2.77 % (3589076)CaDiCaL version: 2.1.3
% 17.06/2.77 % (3589076)Termination reason: Instruction limit
% 17.06/2.77 % (3589076)Termination phase: Saturation
% 17.06/2.77 % (3589076)Time elapsed: 0.121 s
% 17.06/2.77 % (3589076)Peak memory usage: 12 MB
% 17.06/2.77 % (3589076)Instructions burned: 301 (million)
% 17.06/2.77 % (3589094)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=206192915:i=478:bd=all:rtra=on_2979 on theBenchmark for (2979ds/478Mi)
% 17.06/2.77 % (3589094)Refutation not found, incomplete strategy
% 17.06/2.77 % (3589094)------------------------------
% 17.06/2.77 % (3589094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.06/2.77 % (3589094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.06/2.77 % (3589094)CaDiCaL version: 2.1.3
% 17.06/2.77 % (3589094)Termination reason: Refutation not found, incomplete strategy
% 17.06/2.77 % (3589094)Time elapsed: 0.002 s
% 17.06/2.77 % (3589094)Peak memory usage: 12 MB
% 17.06/2.77 % (3589094)Instructions burned: 1 (million)
% 17.06/2.77 % (3589094)------------------------------
% 17.06/2.77 % (3589094)------------------------------
% 17.06/2.77 % (3589099)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3184888672:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2979 on theBenchmark for (2979ds/445Mi)
% 17.06/2.77 % (3589071)Instruction limit reached!
% 17.06/2.77 % (3589071)------------------------------
% 17.06/2.77 % (3589071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.06/2.77 % (3589071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.06/2.77 % (3589071)CaDiCaL version: 2.1.3
% 17.06/2.77 % (3589071)Termination reason: Instruction limit
% 17.06/2.77 % (3589071)Termination phase: Saturation
% 17.06/2.77 % (3589071)Time elapsed: 0.291 s
% 17.06/2.77 % (3589071)Peak memory usage: 12 MB
% 17.06/2.77 % (3589071)Instructions burned: 386 (million)
% 17.06/2.77 % (3589113)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=4284976041:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2978 on theBenchmark for (2978ds/71Mi)
% 17.06/2.77 % (3589067)Instruction limit reached!
% 17.06/2.77 % (3589067)------------------------------
% 17.06/2.77 % (3589067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.06/2.77 % (3589067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.06/2.77 % (3589067)CaDiCaL version: 2.1.3
% 17.06/2.77 % (3589067)Termination reason: Instruction limit
% 17.06/2.77 % (3589067)Termination phase: Saturation
% 17.06/2.77 % (3589067)Time elapsed: 0.370 s
% 17.06/2.77 % (3589067)Peak memory usage: 13 MB
% 17.06/2.77 % (3589067)Instructions burned: 764 (million)
% 17.06/2.77 % (3589117)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3085961361:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/302Mi)
% 17.06/2.77 % (3589117)Refutation not found, incomplete strategy
% 17.06/2.77 % (3589117)------------------------------
% 17.06/2.77 % (3589117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.06/2.77 % (3589117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.06/2.77 % (3589117)CaDiCaL version: 2.1.3
% 17.06/2.77 % (3589117)Termination reason: Refutation not found, incomplete strategy
% 17.06/2.77 % (3589117)Time elapsed: 0.001 s
% 17.06/2.77 % (3589117)Peak memory usage: 12 MB
% 17.06/2.77 % (3589117)------------------------------
% 17.06/2.77 % (3589117)------------------------------
% 17.06/2.77 % (3589113)Instruction limit reached!
% 17.06/2.77 % (3589113)------------------------------
% 17.06/2.77 % (3589113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.06/2.77 % (3589113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.06/2.77 % (3589113)CaDiCaL version: 2.1.3
% 17.06/2.77 % (3589113)Termination reason: Instruction limit
% 17.06/2.77 % (3589113)Termination phase: Saturation
% 17.06/2.77 % (3589113)Time elapsed: 0.063 s
% 17.06/2.77 % (3589113)Peak memory usage: 12 MB
% 17.06/2.77 % (3589113)Instructions burned: 72 (million)
% 17.06/2.77 % (3589122)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=2708474235:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/4980Mi)
% 17.06/2.77 % (3589123)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 19.82/3.07 % (3589123)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 19.82/3.07 % (3589122)Refutation not found, incomplete strategy
% 19.82/3.07 % (3589122)------------------------------
% 19.82/3.07 % (3589122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.07 % (3589122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.07 % (3589122)CaDiCaL version: 2.1.3
% 19.82/3.07 % (3589122)Termination reason: Refutation not found, incomplete strategy
% 19.82/3.07 % (3589122)Time elapsed: 0.001 s
% 19.82/3.07 % (3589122)Peak memory usage: 12 MB
% 19.82/3.07 % (3589122)------------------------------
% 19.82/3.07 % (3589122)------------------------------
% 19.82/3.07 % (3589123)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=932744025:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2977 on theBenchmark for (2977ds/100Mi)
% 19.82/3.07 % (3589099)Instruction limit reached!
% 19.82/3.07 % (3589099)------------------------------
% 19.82/3.07 % (3589099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.07 % (3589099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.07 % (3589099)CaDiCaL version: 2.1.3
% 19.82/3.07 % (3589099)Termination reason: Instruction limit
% 19.82/3.07 % (3589099)Termination phase: Saturation
% 19.82/3.07 % (3589099)Time elapsed: 0.245 s
% 19.82/3.07 % (3589099)Peak memory usage: 14 MB
% 19.82/3.07 % (3589099)Instructions burned: 447 (million)
% 19.82/3.07 % (3589126)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=1556675408:i=76:piset=equals:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/76Mi)
% 19.82/3.07 % (3589089)Instruction limit reached!
% 19.82/3.07 % (3589089)------------------------------
% 19.82/3.07 % (3589089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.07 % (3589089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.07 % (3589089)CaDiCaL version: 2.1.3
% 19.82/3.07 % (3589089)Termination reason: Instruction limit
% 19.82/3.07 % (3589089)Termination phase: Saturation
% 19.82/3.07 % (3589089)Time elapsed: 0.340 s
% 19.82/3.07 % (3589089)Peak memory usage: 12 MB
% 19.82/3.07 % (3589089)Instructions burned: 429 (million)
% 19.82/3.07 % (3589127)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=3508914697:i=289:rtra=on_2976 on theBenchmark for (2976ds/289Mi)
% 19.82/3.07 % (3589127)Refutation not found, incomplete strategy
% 19.82/3.07 % (3589127)------------------------------
% 19.82/3.07 % (3589127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.07 % (3589127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.07 % (3589127)CaDiCaL version: 2.1.3
% 19.82/3.07 % (3589127)Termination reason: Refutation not found, incomplete strategy
% 19.82/3.07 % (3589127)Time elapsed: 0.001 s
% 19.82/3.07 % (3589127)Peak memory usage: 11 MB
% 19.82/3.07 % (3589127)Instructions burned: 1 (million)
% 19.82/3.07 % (3589127)------------------------------
% 19.82/3.07 % (3589127)------------------------------
% 19.82/3.07 % (3589129)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=2257414271:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2976 on theBenchmark for (2976ds/493Mi)
% 19.82/3.07 % (3589131)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=629279310:cond=on:i=34:hud=10:nm=10:rtra=on_2976 on theBenchmark for (2976ds/34Mi)
% 19.82/3.07 % (3589123)Instruction limit reached!
% 19.82/3.07 % (3589123)------------------------------
% 19.82/3.07 % (3589123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.82/3.07 % (3589123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.07 % (3589123)CaDiCaL version: 2.1.3
% 19.82/3.07 % (3589123)Termination reason: Instruction limit
% 19.82/3.07 % (3589123)Termination phase: Saturation
% 19.82/3.07 % (3589123)Time elapsed: 0.082 s
% 19.82/3.07 % (3589123)Peak memory usage: 12 MB
% 19.82/3.07 % (3589123)Instructions burned: 100 (million)
% 19.82/3.07 % (3589126)Instruction limit reached!
% 19.82/3.07 % (3589126)------------------------------
% 20.47/3.17 % (3589126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.47/3.17 % (3589126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.47/3.17 % (3589126)CaDiCaL version: 2.1.3
% 20.47/3.17 % (3589126)Termination reason: Instruction limit
% 20.47/3.17 % (3589126)Termination phase: Saturation
% 20.47/3.17 % (3589126)Time elapsed: 0.062 s
% 20.47/3.17 % (3589126)Peak memory usage: 12 MB
% 20.47/3.17 % (3589126)Instructions burned: 77 (million)
% 20.47/3.17 % (3589131)Instruction limit reached!
% 20.47/3.17 % (3589131)------------------------------
% 20.47/3.17 % (3589131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.47/3.17 % (3589131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.47/3.17 % (3589131)CaDiCaL version: 2.1.3
% 20.47/3.17 % (3589131)Termination reason: Instruction limit
% 20.47/3.17 % (3589131)Termination phase: Saturation
% 20.47/3.17 % (3589131)Time elapsed: 0.030 s
% 20.47/3.17 % (3589131)Peak memory usage: 12 MB
% 20.47/3.17 % (3589131)Instructions burned: 35 (million)
% 20.47/3.17 % (3589135)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 20.47/3.17 % (3589135)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=737544222:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2976 on theBenchmark for (2976ds/372Mi)
% 20.47/3.17 % (3589135)Refutation not found, incomplete strategy
% 20.47/3.17 % (3589135)------------------------------
% 20.47/3.17 % (3589135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.47/3.17 % (3589135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.47/3.17 % (3589135)CaDiCaL version: 2.1.3
% 20.47/3.17 % (3589135)Termination reason: Refutation not found, incomplete strategy
% 20.47/3.17 % (3589135)Time elapsed: 0.002 s
% 20.47/3.17 % (3589135)Peak memory usage: 11 MB
% 20.47/3.17 % (3589135)Instructions burned: 2 (million)
% 20.47/3.17 % (3589135)------------------------------
% 20.47/3.17 % (3589135)------------------------------
% 20.47/3.17 % (3589136)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=3848785841:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2976 on theBenchmark for (2976ds/670Mi)
% 20.47/3.17 % (3589138)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3885982505:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2975 on theBenchmark for (2975ds/647Mi)
% 20.47/3.17 % (3589138)Refutation not found, incomplete strategy
% 20.47/3.17 % (3589138)------------------------------
% 20.47/3.17 % (3589138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.47/3.17 % (3589138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.47/3.17 % (3589138)CaDiCaL version: 2.1.3
% 20.47/3.17 % (3589138)Termination reason: Refutation not found, incomplete strategy
% 20.47/3.17 % (3589138)Time elapsed: 0.001 s
% 20.47/3.17 % (3589138)Peak memory usage: 12 MB
% 20.47/3.17 % (3589138)------------------------------
% 20.47/3.17 % (3589138)------------------------------
% 20.47/3.17 % (3589141)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=1102148944:i=857:add=off:kws=frequency:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/857Mi)
% 20.47/3.17 % (3589144)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=2445214491:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2975 on theBenchmark for (2975ds/693Mi)
% 20.47/3.17 % (3588944)Instruction limit reached!
% 20.47/3.17 % (3588944)------------------------------
% 20.47/3.17 % (3588944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.47/3.17 % (3588944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.47/3.17 % (3588944)CaDiCaL version: 2.1.3
% 20.47/3.17 % (3588944)Termination reason: Instruction limit
% 20.47/3.17 % (3588944)Termination phase: Saturation
% 20.47/3.17 % (3588944)Time elapsed: 1.332 s
% 20.47/3.17 % (3588944)Peak memory usage: 12 MB
% 20.47/3.17 % (3588944)Instructions burned: 2187 (million)
% 20.47/3.17 % (3589151)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3024619025:i=285:hud=10:bd=all:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/285Mi)
% 21.74/3.41 % (3589151)Refutation not found, incomplete strategy
% 21.74/3.41 % (3589151)------------------------------
% 21.74/3.41 % (3589151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.74/3.41 % (3589151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.74/3.41 % (3589151)CaDiCaL version: 2.1.3
% 21.74/3.41 % (3589151)Termination reason: Refutation not found, incomplete strategy
% 21.74/3.41 % (3589151)Time elapsed: 0.002 s
% 21.74/3.41 % (3589151)Peak memory usage: 11 MB
% 21.74/3.41 % (3589151)Instructions burned: 1 (million)
% 21.74/3.41 % (3589151)------------------------------
% 21.74/3.41 % (3589151)------------------------------
% 21.74/3.41 % (3589155)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 21.74/3.41 % (3589155)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=1792466:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2974 on theBenchmark for (2974ds/52Mi)
% 21.74/3.41 % (3589155)Instruction limit reached!
% 21.74/3.41 % (3589155)------------------------------
% 21.74/3.41 % (3589155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.74/3.41 % (3589155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.74/3.41 % (3589155)CaDiCaL version: 2.1.3
% 21.74/3.41 % (3589155)Termination reason: Instruction limit
% 21.74/3.41 % (3589155)Termination phase: Saturation
% 21.74/3.41 % (3589155)Time elapsed: 0.044 s
% 21.74/3.41 % (3589155)Peak memory usage: 12 MB
% 21.74/3.41 % (3589155)Instructions burned: 52 (million)
% 21.74/3.41 % (3589158)dis+10_1_si=on:random_seed=1303655028:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2973 on theBenchmark for (2973ds/407Mi)
% 21.74/3.41 % (3589158)Refutation not found, incomplete strategy
% 21.74/3.41 % (3589158)------------------------------
% 21.74/3.41 % (3589158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.74/3.41 % (3589158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.74/3.41 % (3589158)CaDiCaL version: 2.1.3
% 21.74/3.41 % (3589158)Termination reason: Refutation not found, incomplete strategy
% 21.74/3.41 % (3589158)Time elapsed: 0.002 s
% 21.74/3.41 % (3589158)Peak memory usage: 12 MB
% 21.74/3.41 % (3589158)------------------------------
% 21.74/3.41 % (3589158)------------------------------
% 21.74/3.41 % (3589161)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=2731840765:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/2240Mi)
% 21.74/3.41 % (3589129)Instruction limit reached!
% 21.74/3.41 % (3589129)------------------------------
% 21.74/3.41 % (3589129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.74/3.41 % (3589129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.74/3.41 % (3589129)CaDiCaL version: 2.1.3
% 21.74/3.41 % (3589129)Termination reason: Instruction limit
% 21.74/3.41 % (3589129)Termination phase: Saturation
% 21.74/3.41 % (3589129)Time elapsed: 0.356 s
% 21.74/3.41 % (3589129)Peak memory usage: 13 MB
% 21.74/3.41 % (3589129)Instructions burned: 495 (million)
% 21.74/3.41 % (3589166)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=1718539496:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2972 on theBenchmark for (2972ds/336Mi)
% 21.74/3.41 % (3589166)Refutation not found, incomplete strategy
% 21.74/3.41 % (3589166)------------------------------
% 21.74/3.41 % (3589166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.74/3.41 % (3589166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.74/3.41 % (3589166)CaDiCaL version: 2.1.3
% 21.74/3.41 % (3589166)Termination reason: Refutation not found, incomplete strategy
% 21.74/3.41 % (3589166)Time elapsed: 0.001 s
% 21.74/3.41 % (3589166)Peak memory usage: 11 MB
% 21.74/3.41 % (3589166)------------------------------
% 21.74/3.41 % (3589166)------------------------------
% 21.74/3.41 % (3589170)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=2301279216:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2972 on theBenchmark for (2972ds/1142Mi)
% 21.74/3.41 % (3589136)Instruction limit reached!
% 21.74/3.41 % (3589136)------------------------------
% 21.74/3.41 % (3589136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.74/3.41 % (3589136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.12/3.84 % (3589136)CaDiCaL version: 2.1.3
% 24.12/3.84 % (3589136)Termination reason: Instruction limit
% 24.12/3.84 % (3589136)Termination phase: Saturation
% 24.12/3.84 % (3589136)Time elapsed: 0.417 s
% 24.12/3.84 % (3589136)Peak memory usage: 12 MB
% 24.12/3.84 % (3589136)Instructions burned: 671 (million)
% 24.12/3.84 % (3589144)Instruction limit reached!
% 24.12/3.84 % (3589144)------------------------------
% 24.12/3.84 % (3589144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.12/3.84 % (3589144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.12/3.84 % (3589144)CaDiCaL version: 2.1.3
% 24.12/3.84 % (3589144)Termination reason: Instruction limit
% 24.12/3.84 % (3589144)Termination phase: Saturation
% 24.12/3.84 % (3589144)Time elapsed: 0.406 s
% 24.12/3.84 % (3589144)Peak memory usage: 12 MB
% 24.12/3.84 % (3589144)Instructions burned: 694 (million)
% 24.12/3.84 % (3589181)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1308031596:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2971 on theBenchmark for (2971ds/376Mi)
% 24.12/3.84 % (3589181)Refutation not found, incomplete strategy
% 24.12/3.84 % (3589181)------------------------------
% 24.12/3.84 % (3589181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.12/3.84 % (3589181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.12/3.84 % (3589181)CaDiCaL version: 2.1.3
% 24.12/3.84 % (3589181)Termination reason: Refutation not found, incomplete strategy
% 24.12/3.84 % (3589181)Time elapsed: 0.001 s
% 24.12/3.84 % (3589181)Peak memory usage: 11 MB
% 24.12/3.84 % (3589181)------------------------------
% 24.12/3.84 % (3589181)------------------------------
% 24.12/3.84 % (3589182)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1723518687:i=766:bd=all:rtra=on_2971 on theBenchmark for (2971ds/766Mi)
% 24.12/3.84 % (3589182)Refutation not found, incomplete strategy
% 24.12/3.84 % (3589182)------------------------------
% 24.12/3.84 % (3589182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.12/3.84 % (3589182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.12/3.84 % (3589182)CaDiCaL version: 2.1.3
% 24.12/3.84 % (3589182)Termination reason: Refutation not found, incomplete strategy
% 24.12/3.84 % (3589182)Time elapsed: 0.001 s
% 24.12/3.84 % (3589182)Peak memory usage: 12 MB
% 24.12/3.84 % (3589182)Instructions burned: 1 (million)
% 24.12/3.84 % (3589182)------------------------------
% 24.12/3.84 % (3589182)------------------------------
% 24.12/3.84 % (3589184)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 24.12/3.84 % (3589184)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=3996963955: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_2971 on theBenchmark for (2971ds/959Mi)
% 24.12/3.84 % (3589184)Refutation not found, incomplete strategy
% 24.12/3.84 % (3589184)------------------------------
% 24.12/3.84 % (3589184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.12/3.84 % (3589184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.12/3.84 % (3589184)CaDiCaL version: 2.1.3
% 24.12/3.84 % (3589184)Termination reason: Refutation not found, incomplete strategy
% 24.12/3.84 % (3589184)Time elapsed: 0.001 s
% 24.12/3.84 % (3589184)Peak memory usage: 11 MB
% 24.12/3.84 % (3589184)------------------------------
% 24.12/3.84 % (3589184)------------------------------
% 24.12/3.84 % (3589141)Instruction limit reached!
% 24.12/3.84 % (3589141)------------------------------
% 24.12/3.84 % (3589141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.12/3.84 % (3589141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.12/3.84 % (3589141)CaDiCaL version: 2.1.3
% 24.12/3.84 % (3589141)Termination reason: Instruction limit
% 24.12/3.84 % (3589141)Termination phase: Saturation
% 24.12/3.84 % (3589141)Time elapsed: 0.463 s
% 24.12/3.84 % (3589141)Peak memory usage: 12 MB
% 24.12/3.84 % (3589141)Instructions burned: 857 (million)
% 24.12/3.84 % (3589187)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=3814362626:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2971 on theBenchmark for (2971ds/6359Mi)
% 24.12/3.84 % (3589190)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1142621127:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2970 on theBenchmark for (2970ds/53Mi)
% 24.54/3.98 % (3589189)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2912650549:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2970 on theBenchmark for (2970ds/35Mi)
% 24.54/3.98 % (3589189)Refutation not found, incomplete strategy
% 24.54/3.98 % (3589189)------------------------------
% 24.54/3.98 % (3589189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.54/3.98 % (3589189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.54/3.98 % (3589189)CaDiCaL version: 2.1.3
% 24.54/3.98 % (3589189)Termination reason: Refutation not found, incomplete strategy
% 24.54/3.98 % (3589189)Time elapsed: 0.001 s
% 24.54/3.98 % (3589189)Peak memory usage: 11 MB
% 24.54/3.98 % (3589189)------------------------------
% 24.54/3.98 % (3589189)------------------------------
% 24.54/3.98 % (3589195)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=2527295677:s2a=on:i=876:s2at=6:nm=2:rtra=on_2970 on theBenchmark for (2970ds/876Mi)
% 24.54/3.98 % (3589190)Instruction limit reached!
% 24.54/3.98 % (3589190)------------------------------
% 24.54/3.98 % (3589190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.54/3.98 % (3589190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.54/3.98 % (3589190)CaDiCaL version: 2.1.3
% 24.54/3.98 % (3589190)Termination reason: Instruction limit
% 24.54/3.98 % (3589190)Termination phase: Saturation
% 24.54/3.98 % (3589190)Time elapsed: 0.047 s
% 24.54/3.98 % (3589190)Peak memory usage: 12 MB
% 24.54/3.98 % (3589190)Instructions burned: 53 (million)
% 24.54/3.98 % (3589201)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1893571539:i=57:ep=R:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/57Mi)
% 24.54/3.98 % (3589201)Instruction limit reached!
% 24.54/3.98 % (3589201)------------------------------
% 24.54/3.98 % (3589201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.54/3.98 % (3589201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.54/3.98 % (3589201)CaDiCaL version: 2.1.3
% 24.54/3.98 % (3589201)Termination reason: Instruction limit
% 24.54/3.98 % (3589201)Termination phase: Saturation
% 24.54/3.98 % (3589201)Time elapsed: 0.046 s
% 24.54/3.98 % (3589201)Peak memory usage: 12 MB
% 24.54/3.98 % (3589201)Instructions burned: 57 (million)
% 24.54/3.98 % (3589204)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 24.54/3.98 % (3589204)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2040890029:i=306:bd=all:rtra=on_2969 on theBenchmark for (2969ds/306Mi)
% 24.54/3.98 % (3589204)Refutation not found, incomplete strategy
% 24.54/3.98 % (3589204)------------------------------
% 24.54/3.98 % (3589204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.54/3.98 % (3589204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.54/3.98 % (3589204)CaDiCaL version: 2.1.3
% 24.54/3.98 % (3589204)Termination reason: Refutation not found, incomplete strategy
% 24.54/3.98 % (3589204)Time elapsed: 0.002 s
% 24.54/3.98 % (3589204)Peak memory usage: 11 MB
% 24.54/3.98 % (3589204)Instructions burned: 1 (million)
% 24.54/3.98 % (3589204)------------------------------
% 24.54/3.98 % (3589204)------------------------------
% 24.54/3.98 % (3589207)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3615889519:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/262Mi)
% 24.54/3.98 % (3589207)Refutation not found, incomplete strategy
% 24.54/3.98 % (3589207)------------------------------
% 24.54/3.98 % (3589207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.54/3.98 % (3589207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.54/3.98 % (3589207)CaDiCaL version: 2.1.3
% 24.54/3.98 % (3589207)Termination reason: Refutation not found, incomplete strategy
% 24.54/3.98 % (3589207)Time elapsed: 0.001 s
% 24.54/3.98 % (3589207)Peak memory usage: 11 MB
% 24.54/3.98 % (3589207)------------------------------
% 24.54/3.98 % (3589207)------------------------------
% 24.54/3.98 % (3589213)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 24.54/3.98 % (3589213)ott+1002_16_sil=128000:si=on:random_seed=3299338975:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2968 on theBenchmark for (2968ds/409Mi)
% 26.72/4.11 % (3588993)Instruction limit reached!
% 26.72/4.11 % (3588993)------------------------------
% 26.72/4.11 % (3588993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.72/4.11 % (3588993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.72/4.11 % (3588993)CaDiCaL version: 2.1.3
% 26.72/4.11 % (3588993)Termination reason: Instruction limit
% 26.72/4.11 % (3588993)Termination phase: Saturation
% 26.72/4.11 % (3588993)Time elapsed: 2.020 s
% 26.72/4.11 % (3588993)Peak memory usage: 17 MB
% 26.72/4.11 % (3588993)Instructions burned: 2471 (million)
% 26.72/4.11 % (3589213)Instruction limit reached!
% 26.72/4.11 % (3589213)------------------------------
% 26.72/4.11 % (3589213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.72/4.11 % (3589213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.72/4.11 % (3589213)CaDiCaL version: 2.1.3
% 26.72/4.11 % (3589213)Termination reason: Instruction limit
% 26.72/4.11 % (3589213)Termination phase: Saturation
% 26.72/4.11 % (3589213)Time elapsed: 0.253 s
% 26.72/4.11 % (3589213)Peak memory usage: 12 MB
% 26.72/4.11 % (3589213)Instructions burned: 410 (million)
% 26.72/4.11 % (3589244)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=2067291442:s2a=on:i=381:rtra=on_2965 on theBenchmark for (2965ds/381Mi)
% 26.72/4.11 % (3589245)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3772111570:cond=on:i=324:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/324Mi)
% 26.72/4.11 % (3589195)Instruction limit reached!
% 26.72/4.11 % (3589195)------------------------------
% 26.72/4.11 % (3589195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.72/4.11 % (3589195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.72/4.11 % (3589195)CaDiCaL version: 2.1.3
% 26.72/4.11 % (3589195)Termination reason: Instruction limit
% 26.72/4.11 % (3589195)Termination phase: Saturation
% 26.72/4.11 % (3589195)Time elapsed: 0.566 s
% 26.72/4.11 % (3589195)Peak memory usage: 13 MB
% 26.72/4.11 % (3589195)Instructions burned: 876 (million)
% 26.72/4.11 % (3589255)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3051294119:i=240:kws=inv_precedence:rtra=on_2964 on theBenchmark for (2964ds/240Mi)
% 26.72/4.11 % (3589170)Instruction limit reached!
% 26.72/4.11 % (3589170)------------------------------
% 26.72/4.11 % (3589170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.72/4.11 % (3589170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.72/4.11 % (3589170)CaDiCaL version: 2.1.3
% 26.72/4.11 % (3589170)Termination reason: Instruction limit
% 26.72/4.11 % (3589170)Termination phase: Saturation
% 26.72/4.11 % (3589170)Time elapsed: 0.795 s
% 26.72/4.11 % (3589170)Peak memory usage: 14 MB
% 26.72/4.11 % (3589170)Instructions burned: 1142 (million)
% 26.72/4.11 % (3589255)Refutation not found, incomplete strategy
% 26.72/4.11 % (3589255)------------------------------
% 26.72/4.11 % (3589255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.72/4.11 % (3589255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.72/4.11 % (3589255)CaDiCaL version: 2.1.3
% 26.72/4.11 % (3589255)Termination reason: Refutation not found, incomplete strategy
% 26.72/4.11 % (3589255)Time elapsed: 0.002 s
% 26.72/4.11 % (3589255)Peak memory usage: 11 MB
% 26.72/4.11 % (3589255)Instructions burned: 1 (million)
% 26.72/4.11 % (3589255)------------------------------
% 26.72/4.11 % (3589255)------------------------------
% 26.72/4.11 % (3589245)Instruction limit reached!
% 26.72/4.11 % (3589245)------------------------------
% 26.72/4.11 % (3589245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.72/4.11 % (3589245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.72/4.11 % (3589245)CaDiCaL version: 2.1.3
% 26.72/4.11 % (3589245)Termination reason: Instruction limit
% 26.72/4.11 % (3589245)Termination phase: Saturation
% 26.72/4.11 % (3589245)Time elapsed: 0.140 s
% 26.72/4.11 % (3589245)Peak memory usage: 12 MB
% 26.72/4.11 % (3589245)Instructions burned: 325 (million)
% 26.72/4.11 % (3589259)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 26.72/4.11 % (3589261)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3332845300:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2963 on theBenchmark for (2963ds/282Mi)
% 28.73/4.42 % (3589259)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3353334230:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/124Mi)
% 28.73/4.42 % (3589260)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=906496912:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2964 on theBenchmark for (2964ds/223Mi)
% 28.73/4.42 % (3589261)Instruction limit reached!
% 28.73/4.42 % (3589261)------------------------------
% 28.73/4.42 % (3589261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.73/4.42 % (3589261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/4.42 % (3589261)CaDiCaL version: 2.1.3
% 28.73/4.42 % (3589261)Termination reason: Instruction limit
% 28.73/4.42 % (3589261)Termination phase: Saturation
% 28.73/4.42 % (3589261)Time elapsed: 0.072 s
% 28.73/4.42 % (3589261)Peak memory usage: 12 MB
% 28.73/4.42 % (3589261)Instructions burned: 283 (million)
% 28.73/4.42 % (3589273)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=2998998139:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2963 on theBenchmark for (2963ds/464Mi)
% 28.73/4.42 % (3589273)Refutation not found, incomplete strategy
% 28.73/4.42 % (3589273)------------------------------
% 28.73/4.42 % (3589273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.73/4.42 % (3589273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/4.42 % (3589273)CaDiCaL version: 2.1.3
% 28.73/4.42 % (3589273)Termination reason: Refutation not found, incomplete strategy
% 28.73/4.42 % (3589273)Time elapsed: 0.0000 s
% 28.73/4.42 % (3589273)Peak memory usage: 11 MB
% 28.73/4.42 % (3589273)Instructions burned: 1 (million)
% 28.73/4.42 % (3589273)------------------------------
% 28.73/4.42 % (3589273)------------------------------
% 28.73/4.42 % (3589259)Instruction limit reached!
% 28.73/4.42 % (3589259)------------------------------
% 28.73/4.42 % (3589259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.73/4.42 % (3589259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/4.42 % (3589259)CaDiCaL version: 2.1.3
% 28.73/4.42 % (3589259)Termination reason: Instruction limit
% 28.73/4.42 % (3589259)Termination phase: Saturation
% 28.73/4.42 % (3589259)Time elapsed: 0.085 s
% 28.73/4.42 % (3589259)Peak memory usage: 12 MB
% 28.73/4.42 % (3589259)Instructions burned: 124 (million)
% 28.73/4.42 % (3589275)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=3099507358:i=88:s2at=3:nm=2:rtra=on:rawr=on_2963 on theBenchmark for (2963ds/88Mi)
% 28.73/4.42 % (3589277)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=920703238:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2962 on theBenchmark for (2962ds/280Mi)
% 28.73/4.42 % (3589244)Instruction limit reached!
% 28.73/4.42 % (3589244)------------------------------
% 28.73/4.42 % (3589244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.73/4.42 % (3589244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/4.42 % (3589244)CaDiCaL version: 2.1.3
% 28.73/4.42 % (3589244)Termination reason: Instruction limit
% 28.73/4.42 % (3589244)Termination phase: Saturation
% 28.73/4.42 % (3589244)Time elapsed: 0.296 s
% 28.73/4.42 % (3589244)Peak memory usage: 12 MB
% 28.73/4.42 % (3589244)Instructions burned: 381 (million)
% 28.73/4.42 % (3589260)Instruction limit reached!
% 28.73/4.42 % (3589260)------------------------------
% 28.73/4.42 % (3589260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.73/4.42 % (3589260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/4.42 % (3589260)CaDiCaL version: 2.1.3
% 28.73/4.42 % (3589260)Termination reason: Instruction limit
% 28.73/4.42 % (3589260)Termination phase: Saturation
% 28.73/4.42 % (3589260)Time elapsed: 0.132 s
% 28.73/4.42 % (3589260)Peak memory usage: 13 MB
% 28.73/4.42 % (3589260)Instructions burned: 223 (million)
% 28.73/4.42 % (3589275)Instruction limit reached!
% 28.73/4.42 % (3589275)------------------------------
% 28.73/4.42 % (3589275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.73/4.42 % (3589275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/4.42 % (3589275)CaDiCaL version: 2.1.3
% 28.73/4.42 % (3589275)Termination reason: Instruction limit
% 28.73/4.42 % (3589275)Termination phase: Saturation
% 28.73/4.42 % (3589275)Time elapsed: 0.038 s
% 28.73/4.42 % (3589275)Peak memory usage: 12 MB
% 28.73/4.42 % (3589275)Instructions burned: 91 (million)
% 28.73/4.42 % (3589282)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 28.73/4.42 % (3589282)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=600609704:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/4386Mi)
% 28.73/4.42 % (3589285)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3989894842:i=73:rtra=on_2962 on theBenchmark for (2962ds/73Mi)
% 28.73/4.42 % (3589285)Refutation not found, incomplete strategy
% 28.73/4.42 % (3589285)------------------------------
% 28.73/4.42 % (3589285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.73/4.42 % (3589285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/4.42 % (3589285)CaDiCaL version: 2.1.3
% 28.73/4.42 % (3589285)Termination reason: Refutation not found, incomplete strategy
% 28.73/4.42 % (3589285)Time elapsed: 0.001 s
% 28.73/4.42 % (3589285)Peak memory usage: 11 MB
% 28.73/4.42 % (3589285)Instructions burned: 1 (million)
% 28.73/4.42 % (3589285)------------------------------
% 28.73/4.42 % (3589285)------------------------------
% 28.73/4.42 % (3589284)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 28.73/4.42 % (3589284)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 28.73/4.42 % (3589284)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=1909185852:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2962 on theBenchmark for (2962ds/483Mi)
% 28.73/4.42 % (3589284)Refutation not found, incomplete strategy
% 28.73/4.42 % (3589284)------------------------------
% 28.73/4.42 % (3589284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.73/4.42 % (3589284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/4.42 % (3589284)CaDiCaL version: 2.1.3
% 28.73/4.42 % (3589284)Termination reason: Refutation not found, incomplete strategy
% 28.73/4.42 % (3589284)Time elapsed: 0.001 s
% 28.73/4.42 % (3589284)Peak memory usage: 12 MB
% 28.73/4.42 % (3589284)------------------------------
% 28.73/4.42 % (3589284)------------------------------
% 28.73/4.42 % (3589289)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=458529245:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2962 on theBenchmark for (2962ds/176Mi)
% 28.73/4.42 % (3589292)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 28.73/4.42 % (3589292)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3672722385:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2962 on theBenchmark for (2962ds/39Mi)
% 28.73/4.42 % (3589292)Instruction limit reached!
% 28.73/4.42 % (3589292)------------------------------
% 28.73/4.42 % (3589292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.73/4.42 % (3589292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/4.42 % (3589292)CaDiCaL version: 2.1.3
% 28.73/4.42 % (3589292)Termination reason: Instruction limit
% 28.73/4.42 % (3589292)Termination phase: Saturation
% 28.73/4.42 % (3589292)Time elapsed: 0.034 s
% 28.73/4.42 % (3589292)Peak memory usage: 12 MB
% 28.73/4.42 % (3589292)Instructions burned: 39 (million)
% 28.73/4.42 % (3589289)Instruction limit reached!
% 28.73/4.42 % (3589289)------------------------------
% 28.73/4.42 % (3589289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.73/4.42 % (3589289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/4.42 % (3589289)CaDiCaL version: 2.1.3
% 28.73/4.42 % (3589289)Termination reason: Instruction limit
% 28.73/4.42 % (3589289)Termination phase: Saturation
% 28.73/4.42 % (3589289)Time elapsed: 0.076 s
% 28.73/4.42 % (3589289)Peak memory usage: 12 MB
% 28.73/4.42 % (3589289)Instructions burned: 177 (million)
% 28.73/4.42 % (3589299)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
% 28.73/4.42 % (3589299)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=1740990436:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2961 on theBenchmark for (2961ds/252Mi)
% 28.73/4.42 % (3589296)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1690923453:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2961 on theBenchmark for (2961ds/708Mi)
% 28.73/4.42 % (3589277)Instruction limit reached!
% 28.73/4.42 % (3589277)------------------------------
% 28.73/4.42 % (3589277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.73/4.42 % (3589277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/4.42 % (3589277)CaDiCaL version: 2.1.3
% 28.73/4.42 % (3589277)Termination reason: Instruction limit
% 28.73/4.42 % (3589277)Termination phase: Saturation
% 28.73/4.42 % (3589277)Time elapsed: 0.197 s
% 28.73/4.42 % (3589277)Peak memory usage: 12 MB
% 28.73/4.42 % (3589277)Instructions burned: 280 (million)
% 28.73/4.42 % (3589308)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=842244443:i=823:fsr=off:rtra=on_2960 on theBenchmark for (2960ds/823Mi)
% 28.73/4.42 % (3589299)Instruction limit reached!
% 28.73/4.42 % (3589299)------------------------------
% 28.73/4.42 % (3589299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.73/4.42 % (3589299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/4.42 % (3589299)CaDiCaL version: 2.1.3
% 28.73/4.42 % (3589299)Termination reason: Instruction limit
% 28.73/4.42 % (3589299)Termination phase: Saturation
% 28.73/4.42 % (3589299)Time elapsed: 0.092 s
% 28.73/4.42 % (3589299)Peak memory usage: 12 MB
% 28.73/4.42 % (3589299)Instructions burned: 254 (million)
% 28.73/4.42 % (3589310)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 28.73/4.42 % (3589310)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=1585023824:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2960 on theBenchmark for (2960ds/16202Mi)
% 28.73/4.42 % (3589310)Refutation not found, incomplete strategy
% 28.73/4.42 % (3589310)------------------------------
% 28.73/4.42 % (3589310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.73/4.42 % (3589310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/4.42 % (3589310)CaDiCaL version: 2.1.3
% 28.73/4.42 % (3589310)Termination reason: Refutation not found, incomplete strategy
% 28.73/4.42 % (3589310)Time elapsed: 0.001 s
% 28.73/4.42 % (3589310)Peak memory usage: 12 MB
% 28.73/4.42 % (3589310)Instructions burned: 1 (million)
% 28.73/4.42 % (3589310)------------------------------
% 28.73/4.42 % (3589310)------------------------------
% 28.73/4.42 % (3589312)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=2102349805:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2960 on theBenchmark for (2960ds/300Mi)
% 28.73/4.42 % (3589187) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3588472-3589187"...
% 28.73/4.42 % (3589312)Instruction limit reached!
% 28.73/4.42 % (3589312)------------------------------
% 28.73/4.42 % (3589312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.73/4.42 % (3589312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/4.42 % (3589312)CaDiCaL version: 2.1.3
% 28.73/4.42 % (3589312)Termination reason: Instruction limit
% 28.73/4.42 % (3589312)Termination phase: Saturation
% 28.73/4.42 % (3589312)Time elapsed: 0.132 s
% 28.73/4.42 % (3589312)Peak memory usage: 12 MB
% 28.73/4.42 % (3589312)Instructions burned: 301 (million)
% 28.73/4.42 % (3589316)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 28.73/4.42 % (3589316)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 28.73/4.42 % (3589316)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=1119824927:i=177:add=on:bd=preordered:rtra=on:rawr=on_2958 on theBenchmark for (2958ds/177Mi)
% 28.73/4.42 % (3589187)...printing done.
% 28.73/4.42 % (3589187)Refutation found. Thanks to Tanya!
% 28.73/4.42 % SZS status Unsatisfiable for theBenchmark
% 28.73/4.42 % SZS output start Proof for theBenchmark
% See solution above
% 28.73/4.47 % (3589187)------------------------------
% 28.73/4.47 % (3589187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.73/4.47 % (3589187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/4.47 % (3589187)CaDiCaL version: 2.1.3
% 28.73/4.47 % (3589187)Termination reason: Refutation
% 28.73/4.47 % (3589187)Time elapsed: 1.262 s
% 28.73/4.47 % (3589187)Peak memory usage: 16 MB
% 28.73/4.47 % (3589187)Instructions burned: 1560 (million)
% 28.73/4.47 % (3588472)Success in time 4.205 s
% 28.73/4.47 % Vampire exiting
%------------------------------------------------------------------------------