%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA135^1 : 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 : n026.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 07:56:56 AM UTC 2026
% Result : Unsatisfiable 26.15s 4.89s
% Output : Refutation 27.58s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X2: $i,X0: $i,X3: $i,X1: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X0 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X1: $i,X3: $i,X2: $i,X0: $i,X4: $i] :
( ~ ( b @ X2 @ X3 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f9,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X3 @ X0 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X3 @ X2 )
| ~ ( r @ X1 @ X2 ) ),
inference(rectify,[],[f6]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X3 @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X2 @ X1 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X3 @ X2 )
| ~ ( b @ X3 @ X0 )
| ~ ( b @ X0 @ X2 ) ),
inference(rectify,[],[f7]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f17,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X1: $i,X0: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X3 @ X2 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f21,plain,
! [X0: $i,X3: $i,X1: $i,X4: $i,X2: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true ) ),
inference(flattening,[],[f15]) ).
thf(f22,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X3 @ X1 )
!= $true )
| ( ( r @ X3 @ X2 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true )
| ( $true
= ( r @ X1 @ X0 ) ) ),
inference(rectify,[],[f13]) ).
thf(f25,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X4 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ),
inference(rectify,[],[f21]) ).
thf(f26,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f27,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ X2 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X3 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X4 @ X2 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f30,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f31,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f32,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f28,f32]) ).
thf(f36,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f28,f32]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f28,f30]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f27,f28]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( X0 = X1 )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f40]) ).
thf(f45,definition,
( spl0_1
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f46,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f48,definition,
( spl0_2
<=> ! [X2: $i] :
( ( r @ z @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f49,plain,
( ! [X2: $i] :
( ( r @ z @ X2 )
!= $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f48]) ).
thf(f51,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f49,f35]) ).
thf(f53,plain,
( ! [X0: $i] :
( ( b @ z @ ( s @ X0 ) )
= $true )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f51]) ).
thf(f55,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ X3 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f29,f53]) ).
thf(f56,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f55]) ).
thf(f59,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f56,f36]) ).
thf(f61,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X3 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f36]) ).
thf(f63,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f59]) ).
thf(f64,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f63]) ).
thf(f65,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( b @ z @ X3 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f61]) ).
thf(f67,definition,
( spl0_3
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f68,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ X0 ) @ z ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f70,definition,
( spl0_4
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f71,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f72,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f64,f48,f70,f67]) ).
thf(f73,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f27,f68]) ).
thf(f74,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f73]) ).
thf(f75,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ X1 ) )
= $true )
| ( $true
!= ( r @ ( s @ X1 ) @ X2 ) )
| ( ( s @ X1 )
= X0 )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f74,f28]) ).
thf(f77,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X1 ) @ X2 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ X1 )
= X0 )
| ( ( b @ X0 @ ( s @ X1 ) )
= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f75]) ).
thf(f79,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f32]) ).
thf(f80,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f32]) ).
thf(f81,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f30]) ).
thf(f88,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f29,f79]) ).
thf(f90,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f88]) ).
thf(f92,definition,
( spl0_5
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f93,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f127,definition,
( spl0_7
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X2 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f128,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f127]) ).
thf(f130,definition,
( spl0_8
<=> ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f131,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f130]) ).
thf(f141,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f80]) ).
thf(f142,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f141]) ).
thf(f149,definition,
( spl0_10
<=> ! [X1: $i] :
( ( b @ ( s @ z ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f150,plain,
( ! [X1: $i] :
( ( b @ ( s @ z ) @ X1 )
!= $true )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f149]) ).
thf(f160,definition,
( spl0_11
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f161,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f160]) ).
thf(f194,definition,
( spl0_13
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f195,plain,
( ( ( b @ z @ ( s @ z ) )
= $true )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f194]) ).
thf(f197,definition,
( spl0_14
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f198,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f197]) ).
thf(f204,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f49,f35]) ).
thf(f207,plain,
( ! [X0: $i] :
( ( b @ z @ ( s @ X0 ) )
= $true )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f204]) ).
thf(f208,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_2
| ~ spl0_11 ),
inference(constrained_superposition,[],[f161,f207]) ).
thf(f210,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f90,f207]) ).
thf(f214,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f208]) ).
thf(f215,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f210]) ).
thf(f217,plain,
( spl0_7
| spl0_8
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f215,f48,f130,f127]) ).
thf(f219,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_11 ),
inference(constrained_superposition,[],[f214,f79]) ).
thf(f221,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f219]) ).
thf(f224,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f221,f207]) ).
thf(f226,plain,
( spl0_5
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f224,f160,f48,f92]) ).
thf(f227,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ X1 ) )
= $true )
| ( ( b @ X0 @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= X0 )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f46,f28]) ).
thf(f231,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ X1 ) )
= $true )
| ( ( b @ z @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f227]) ).
thf(f237,definition,
( spl0_16
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f238,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_16 ),
inference(avatar_component_clause,[],[f237]) ).
thf(f249,definition,
( spl0_17
<=> ! [X1: $i] :
( ( r @ ( s @ z ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f250,plain,
( ! [X1: $i] :
( ( r @ ( s @ z ) @ X1 )
!= $true )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f249]) ).
thf(f252,definition,
( spl0_18
<=> ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f253,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f252]) ).
thf(f258,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ X2 )
!= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f27,f253]) ).
thf(f261,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f258]) ).
thf(f265,definition,
( spl0_19
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f266,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f265]) ).
thf(f267,plain,
( spl0_17
| spl0_19
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f261,f252,f265,f249]) ).
thf(f282,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| spl0_16 ),
inference(constrained_superposition,[],[f238,f36]) ).
thf(f283,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_16 ),
inference(trivial_inequality_removal,[],[f282]) ).
thf(f284,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ X1 ) )
= X0 )
| ( ( b @ X0 @ ( s @ ( s @ X1 ) ) )
= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f266,f28]) ).
thf(f286,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ X1 ) )
= X0 )
| ( ( b @ X0 @ ( s @ ( s @ X1 ) ) )
= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f284]) ).
thf(f289,definition,
( spl0_20
<=> ( ( r @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f290,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| spl0_20 ),
inference(avatar_component_clause,[],[f289]) ).
thf(f292,definition,
( spl0_21
<=> ! [X0: $i] :
( ( b @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f293,plain,
( ! [X0: $i] :
( ( b @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f292]) ).
thf(f295,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
= $true )
| spl0_20 ),
inference(constrained_superposition,[],[f290,f35]) ).
thf(f298,plain,
( ( ( b @ z @ ( s @ z ) )
= $true )
| spl0_20 ),
inference(trivial_inequality_removal,[],[f295]) ).
thf(f300,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f161,f79]) ).
thf(f302,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f300]) ).
thf(f331,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f286,f35]) ).
thf(f333,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f331]) ).
thf(f334,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( ( b @ z @ ( s @ X1 ) )
= $true )
| ( $true
= ( b @ X0 @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ X1 ) )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f231,f28]) ).
thf(f337,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ X1 ) )
= $true )
| ( $true
= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ X1 ) )
= $true )
| ( z = X0 )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f334]) ).
thf(f359,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( s @ X0 )
= X1 )
| ( $true != $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f77,f68]) ).
thf(f361,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( s @ X0 )
= X1 )
| ( ( b @ X1 @ ( s @ X0 ) )
= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f359]) ).
thf(f364,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ X1 ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f361,f68]) ).
thf(f366,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( ( s @ X0 )
= ( s @ X1 ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f364]) ).
thf(f374,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_11 ),
inference(constrained_superposition,[],[f161,f366]) ).
thf(f382,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_3
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f374]) ).
thf(f385,plain,
( spl0_14
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f382,f160,f67,f197]) ).
thf(f387,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( b @ ( s @ X1 ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_3
| ~ spl0_14 ),
inference(constrained_superposition,[],[f198,f366]) ).
thf(f392,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X1 ) @ ( s @ z ) )
!= $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f387]) ).
thf(f545,definition,
( spl0_23
<=> ! [X2: $i,X1: $i] :
( ( ( s @ ( s @ X1 ) )
= ( s @ X2 ) )
| ( ( s @ z )
= ( s @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f546,plain,
( ! [X2: $i,X1: $i] :
( ( ( s @ ( s @ X1 ) )
= ( s @ X2 ) )
| ( ( s @ z )
= ( s @ X2 ) ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f545]) ).
thf(f554,definition,
( spl0_24
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f555,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f554]) ).
thf(f1221,definition,
( spl0_35
<=> ! [X2: $i,X3: $i] :
( ( s @ X3 )
= ( s @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f1222,plain,
( ! [X2: $i,X3: $i] :
( ( s @ X3 )
= ( s @ X2 ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f1221]) ).
thf(f1256,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f30,f1222]) ).
thf(f1396,plain,
( ! [X2: $i,X1: $i] : ( X1 = X2 )
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1256,f1222]) ).
thf(f1496,plain,
( ! [X0: $i] : ( z != X0 )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f32,f1396]) ).
thf(f1587,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1496,f1396]) ).
thf(f1588,plain,
~ spl0_35,
inference(avatar_contradiction_clause,[],[f1587]) ).
thf(f1591,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f298,f289,f194]) ).
thf(f1592,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f333,f32]) ).
thf(f1593,plain,
( spl0_21
| spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1592,f265,f194,f292]) ).
thf(f1900,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X2 ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X1 )
= X2 ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f30,f546]) ).
thf(f1960,definition,
( spl0_45
<=> ! [X0: $i] :
( ( s @ X0 )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f1961,plain,
( ! [X0: $i] :
( ( s @ X0 )
= ( s @ z ) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f1960]) ).
thf(f1977,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( s @ X3 )
= ( s @ X2 ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
!= ( s @ X1 ) )
| ( ( s @ X1 )
= ( s @ z ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f1900,f546]) ).
thf(f1982,definition,
( spl0_46
<=> ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f1983,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X1 )
= ( s @ z ) ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f1982]) ).
thf(f1984,plain,
( spl0_46
| spl0_35
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1977,f545,f1221,f1982]) ).
thf(f2021,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f80,f1961]) ).
thf(f2070,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f2021,f31]) ).
thf(f2076,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f2070,f26]) ).
thf(f2077,plain,
~ spl0_45,
inference(avatar_contradiction_clause,[],[f2076]) ).
thf(f2167,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_46 ),
inference(equality_resolution,[],[f1983]) ).
thf(f2168,plain,
( ! [X0: $i] :
( ( s @ X0 )
= ( s @ z ) )
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f2167]) ).
thf(f2169,plain,
( spl0_45
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f2168,f1982,f1960]) ).
thf(f2170,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X1 )
= ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_14 ),
inference(constrained_superposition,[],[f392,f366]) ).
thf(f2178,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f2170]) ).
thf(f2181,definition,
( spl0_49
<=> ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f2182,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f2181]) ).
thf(f2185,plain,
( spl0_49
| ~ spl0_3
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f2178,f197,f67,f2181]) ).
thf(f2213,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( s @ X1 )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f79,f2182]) ).
thf(f2260,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ ( s @ X0 ) ) )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true ) )
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2213,f31]) ).
thf(f2265,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ z ) )
| ( ( s @ X1 )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2260,f26]) ).
thf(f2268,plain,
( spl0_23
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f2265,f2181,f545]) ).
thf(f2270,definition,
( spl0_50
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
thf(f2271,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f2270]) ).
thf(f2272,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_13 ),
inference(avatar_component_clause,[],[f194]) ).
thf(f2283,definition,
( spl0_52
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
thf(f2284,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f2283]) ).
thf(f2286,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f2284,f28]) ).
thf(f2289,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f2286]) ).
thf(f2291,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f65,f79]) ).
thf(f2294,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) ),
inference(trivial_inequality_removal,[],[f2291]) ).
thf(f2332,definition,
( spl0_55
<=> ! [X2: $i,X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f2333,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f2332]) ).
thf(f2339,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f150,f80]) ).
thf(f2346,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f2339]) ).
thf(f2347,plain,
( spl0_18
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f2346,f149,f252]) ).
thf(f2359,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X1 ) @ X2 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ X1 ) ) )
| ( ( b @ ( s @ X1 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f41,f32]) ).
thf(f2360,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( b @ z @ ( s @ X1 ) )
= $true )
| ( ( r @ z @ X2 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ X1 ) ) ) ),
inference(extensionality_resolution,[],[f41,f32]) ).
thf(f2363,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ X1 )
= $true )
| ( X1 = X2 ) ),
inference(constrained_superposition,[],[f41,f28]) ).
thf(f2367,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X2 )
| ( ( b @ X2 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f2363]) ).
thf(f2403,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( $true
= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_1
| spl0_13 ),
inference(constrained_superposition,[],[f2272,f337]) ).
thf(f2407,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ z )
= $true )
| ( z = X1 )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_11 ),
inference(constrained_superposition,[],[f161,f337]) ).
thf(f2416,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_1
| spl0_13 ),
inference(trivial_inequality_removal,[],[f2403]) ).
thf(f2417,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( z = X1 )
| ( ( b @ X1 @ z )
= $true )
| ( ( s @ z )
= X1 )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
= $true ) )
| ~ spl0_1
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f2407]) ).
thf(f2422,definition,
( spl0_60
<=> ! [X1: $i] :
( ( b @ z @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
thf(f2423,plain,
( ! [X1: $i] :
( ( b @ z @ X1 )
!= $true )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f2422]) ).
thf(f2452,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X0 )
!= $true )
| ( ( b @ X2 @ X3 )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ X3 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X3 )
| ( X2 = X3 )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f2367,f28]) ).
thf(f2455,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X0 )
!= $true )
| ( X0 = X3 )
| ( ( b @ X2 @ X3 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X3 )
= $true )
| ( X2 = X3 ) ),
inference(trivial_inequality_removal,[],[f2452]) ).
thf(f2620,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f81,f32]) ).
thf(f2648,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X3 ) )
| ( ( b @ X0 @ X2 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( X0 = X2 )
| ( X1 = X2 )
| ( $true != $true )
| ( X0 = X1 )
| ( X1 = X3 ) ),
inference(constrained_superposition,[],[f2455,f28]) ).
thf(f2650,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( b @ z @ X0 ) )
| ( ( b @ z @ X1 )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X1 )
| ( $true != $true )
| ( z = X0 ) )
| spl0_16 ),
inference(constrained_superposition,[],[f2455,f283]) ).
thf(f2654,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X3 ) )
| ( X0 = X2 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X2 )
| ( X1 = X3 )
| ( X0 = X1 )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( b @ X0 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f2648]) ).
thf(f2655,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X1 )
| ( ( b @ z @ X1 )
= $true ) )
| spl0_16 ),
inference(trivial_inequality_removal,[],[f2650]) ).
thf(f2661,definition,
( spl0_61
<=> ! [X2: $i] :
( ( ( b @ ( s @ z ) @ X2 )
= $true )
| ( ( s @ z )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
thf(f2662,plain,
( ! [X2: $i] :
( ( ( b @ ( s @ z ) @ X2 )
= $true )
| ( ( s @ z )
= X2 ) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f2661]) ).
thf(f2763,definition,
( spl0_64
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ z @ X0 ) )
| ( $true
= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
thf(f2764,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ X0 ) )
| ( z = X0 )
| ( $true
= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f2763]) ).
thf(f2766,definition,
( spl0_65
<=> ! [X1: $i] :
( ( z = X1 )
| ( ( b @ z @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
thf(f2767,plain,
( ! [X1: $i] :
( ( ( b @ z @ X1 )
= $true )
| ( z = X1 ) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f2766]) ).
thf(f2768,plain,
( spl0_64
| spl0_65
| spl0_16 ),
inference(avatar_split_clause,[],[f2655,f237,f2766,f2763]) ).
thf(f2775,definition,
( spl0_67
<=> ! [X0: $i] :
( ( b @ z @ ( s @ X0 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
thf(f2776,plain,
( ! [X0: $i] :
( ( b @ z @ ( s @ X0 ) )
= $true )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f2775]) ).
thf(f2844,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X0 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( ( b @ X2 @ X1 )
= $true )
| ( X1 = X2 ) ),
inference(equality_factoring,[],[f2654]) ).
thf(f2856,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X2 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( X1 = X2 )
| ( ( b @ X2 @ X1 )
= $true )
| ( ( b @ X2 @ X0 )
= $true ) ),
inference(duplicate_literal_removal,[],[f2844]) ).
thf(f2857,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
= $true )
| ( X1 = X2 )
| ( X0 = X1 )
| ( X0 = X2 )
| ( ( b @ X2 @ X0 )
= $true )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f2856]) ).
thf(f2874,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( z
= ( s @ z ) )
| ( $true
= ( b @ z @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| spl0_13 ),
inference(constrained_superposition,[],[f2272,f2857]) ).
thf(f2880,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ X0 ) )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ X0 @ z ) )
| ( z = X0 )
| ( $true != $true ) )
| spl0_16 ),
inference(constrained_superposition,[],[f238,f2857]) ).
thf(f2884,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( $true
= ( b @ z @ X0 ) ) )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f2874]) ).
thf(f2898,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ ( s @ z ) @ X0 ) )
| ( z
= ( s @ z ) ) )
| spl0_16 ),
inference(trivial_inequality_removal,[],[f2880]) ).
thf(f2900,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( $true
= ( b @ z @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f2884,f32]) ).
thf(f2901,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( b @ X0 @ z ) ) )
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f2898,f32]) ).
thf(f2917,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_11
| spl0_13 ),
inference(constrained_superposition,[],[f161,f2900]) ).
thf(f2930,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 ) )
| ~ spl0_11
| spl0_13 ),
inference(trivial_inequality_removal,[],[f2917]) ).
thf(f3041,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f27,f2620]) ).
thf(f3048,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f3041]) ).
thf(f3053,definition,
( spl0_70
<=> ! [X2: $i] :
( ( ( s @ ( s @ z ) )
= X2 )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
thf(f3054,plain,
( ! [X2: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
= $true )
| ( ( s @ ( s @ z ) )
= X2 ) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f3053]) ).
thf(f3057,definition,
( spl0_71
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f3058,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f3057]) ).
thf(f3060,definition,
( spl0_72
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
thf(f3061,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f3060]) ).
thf(f3066,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f29,f3061]) ).
thf(f3067,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f3066]) ).
thf(f3073,definition,
( spl0_73
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f3074,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f3073]) ).
thf(f3076,definition,
( spl0_74
<=> ! [X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
thf(f3077,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f3076]) ).
thf(f3100,definition,
( spl0_75
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
thf(f3101,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f3100]) ).
thf(f3103,definition,
( spl0_76
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
thf(f3104,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f3103]) ).
thf(f3107,definition,
( spl0_77
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
thf(f3108,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f3107]) ).
thf(f3111,definition,
( spl0_78
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
thf(f3112,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f3111]) ).
thf(f3114,definition,
( spl0_79
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
thf(f3115,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f3114]) ).
thf(f3118,definition,
( spl0_80
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( $true
= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f3119,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( b @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f3118]) ).
thf(f3151,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f3067,f36]) ).
thf(f3162,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_72 ),
inference(duplicate_literal_removal,[],[f3151]) ).
thf(f3163,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f3162]) ).
thf(f3172,plain,
( spl0_73
| spl0_4
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f3163,f3060,f70,f3073]) ).
thf(f3174,definition,
( spl0_82
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
thf(f3175,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f3174]) ).
thf(f3184,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_52
| ~ spl0_73 ),
inference(constrained_superposition,[],[f2289,f3074]) ).
thf(f3194,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_52
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f3184]) ).
thf(f3202,plain,
( spl0_78
| spl0_79
| ~ spl0_52
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f3194,f3073,f2283,f3114,f3111]) ).
thf(f3206,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_72
| ~ spl0_77 ),
inference(constrained_superposition,[],[f3067,f3108]) ).
thf(f3217,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_72
| ~ spl0_77 ),
inference(duplicate_literal_removal,[],[f3206]) ).
thf(f3218,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_72
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f3217]) ).
thf(f3219,plain,
( spl0_4
| ~ spl0_72
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f3218,f3107,f3060,f70]) ).
thf(f3226,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_79 ),
inference(constrained_superposition,[],[f80,f3115]) ).
thf(f3266,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f3226,f26]) ).
thf(f3277,plain,
( $false
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f3266,f31]) ).
thf(f3278,plain,
~ spl0_79,
inference(avatar_contradiction_clause,[],[f3277]) ).
thf(f3301,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_52
| ~ spl0_82 ),
inference(constrained_superposition,[],[f2284,f3175]) ).
thf(f3302,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ~ spl0_1
| ~ spl0_82 ),
inference(constrained_superposition,[],[f46,f3175]) ).
thf(f3307,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f27,f3175]) ).
thf(f3310,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_52
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f3301]) ).
thf(f3314,plain,
( ( ( b @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f3302]) ).
thf(f3315,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f3307]) ).
thf(f3317,plain,
( $false
| ~ spl0_52
| ~ spl0_73
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f3310,f3074]) ).
thf(f3318,plain,
( ~ spl0_52
| ~ spl0_73
| ~ spl0_82 ),
inference(avatar_contradiction_clause,[],[f3317]) ).
thf(f3323,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| spl0_13
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f3314,f2272]) ).
thf(f3325,definition,
( spl0_84
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
thf(f3326,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f3325]) ).
thf(f3327,plain,
( spl0_75
| spl0_84
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f3315,f3174,f3325,f3100]) ).
thf(f3328,plain,
( $false
| ~ spl0_1
| spl0_13
| ~ spl0_73
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f3323,f3074]) ).
thf(f3329,plain,
( ~ spl0_1
| spl0_13
| ~ spl0_73
| ~ spl0_82 ),
inference(avatar_contradiction_clause,[],[f3328]) ).
thf(f3340,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f29,f3112]) ).
thf(f3343,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f3340]) ).
thf(f3355,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f3104,f28]) ).
thf(f3360,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f3104,f2620]) ).
thf(f3363,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f3360]) ).
thf(f3364,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f3355]) ).
thf(f3368,plain,
( spl0_71
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f3363,f3103,f3057]) ).
thf(f3398,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f71,f36]) ).
thf(f3406,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f3398]) ).
thf(f3410,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f3406,f79]) ).
thf(f3413,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f3406,f80]) ).
thf(f3433,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f3410]) ).
thf(f3437,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f3413]) ).
thf(f3466,definition,
( spl0_86
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
thf(f3467,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f3466]) ).
thf(f3469,definition,
( spl0_87
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
thf(f3470,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f3469]) ).
thf(f3474,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_76
| ~ spl0_86 ),
inference(constrained_superposition,[],[f3104,f3467]) ).
thf(f3487,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_76
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f3474]) ).
thf(f3490,plain,
( $false
| spl0_16
| ~ spl0_76
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f3487,f283]) ).
thf(f3491,plain,
( spl0_16
| ~ spl0_76
| ~ spl0_86 ),
inference(avatar_contradiction_clause,[],[f3490]) ).
thf(f3495,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f3343,f80]) ).
thf(f3497,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) ) )
| spl0_16
| ~ spl0_78 ),
inference(constrained_superposition,[],[f3343,f2901]) ).
thf(f3506,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true ) )
| spl0_16
| ~ spl0_78 ),
inference(duplicate_literal_removal,[],[f3497]) ).
thf(f3507,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| spl0_16
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f3506]) ).
thf(f3516,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_78 ),
inference(duplicate_literal_removal,[],[f3495]) ).
thf(f3517,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f3516]) ).
thf(f3521,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| spl0_16
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f3507,f32]) ).
thf(f3522,plain,
( spl0_10
| spl0_86
| spl0_87
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f3517,f3111,f3469,f3466,f149]) ).
thf(f3524,plain,
( spl0_79
| spl0_87
| spl0_77
| spl0_10
| spl0_16
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f3521,f3111,f237,f149,f3107,f3469,f3114]) ).
thf(f3546,plain,
( ( $true != $true )
| spl0_16
| ~ spl0_17 ),
inference(constrained_superposition,[],[f250,f283]) ).
thf(f3549,plain,
( $false
| spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f3546]) ).
thf(f3550,plain,
( spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f3549]) ).
thf(f3552,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f3048,f2620]) ).
thf(f3557,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
inference(duplicate_literal_removal,[],[f3552]) ).
thf(f3558,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f3557]) ).
thf(f3574,definition,
( spl0_88
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
thf(f3575,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_88 ),
inference(avatar_component_clause,[],[f3574]) ).
thf(f3581,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_88 ),
inference(constrained_superposition,[],[f3575,f35]) ).
thf(f3584,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_88 ),
inference(trivial_inequality_removal,[],[f3581]) ).
thf(f3612,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( $true
= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f3364,f28]) ).
thf(f3613,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_16
| ~ spl0_76 ),
inference(constrained_superposition,[],[f3364,f283]) ).
thf(f3614,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f3612]) ).
thf(f3615,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_16
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f3613]) ).
thf(f3617,definition,
( spl0_90
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
thf(f3618,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f3617]) ).
thf(f3619,plain,
( spl0_90
| spl0_79
| spl0_16
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f3615,f3103,f237,f3114,f3617]) ).
thf(f3620,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_90 ),
inference(constrained_superposition,[],[f3077,f3618]) ).
thf(f3621,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_7
| ~ spl0_90 ),
inference(constrained_superposition,[],[f128,f3618]) ).
thf(f3623,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_90 ),
inference(constrained_superposition,[],[f3406,f3618]) ).
thf(f3626,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_74
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f3620]) ).
thf(f3629,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_4
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f3623]) ).
thf(f3630,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_7
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f3621]) ).
thf(f3660,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_80 ),
inference(constrained_superposition,[],[f302,f3119]) ).
thf(f3695,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( b @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_11
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f3660]) ).
thf(f3709,definition,
( spl0_91
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
thf(f3710,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( b @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f3709]) ).
thf(f3714,plain,
( spl0_82
| spl0_91
| ~ spl0_11
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f3695,f3118,f160,f3709,f3174]) ).
thf(f3730,definition,
( spl0_94
<=> ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
thf(f3731,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f3730]) ).
thf(f3742,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_77 ),
inference(avatar_component_clause,[],[f3107]) ).
thf(f3753,definition,
( spl0_98
<=> ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
thf(f3754,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f3753]) ).
thf(f3765,definition,
( spl0_101
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( b @ z @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
thf(f3766,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f3765]) ).
thf(f3772,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_77 ),
inference(constrained_superposition,[],[f3742,f36]) ).
thf(f3779,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_77 ),
inference(trivial_inequality_removal,[],[f3772]) ).
thf(f3782,plain,
( spl0_73
| spl0_77 ),
inference(avatar_split_clause,[],[f3779,f3107,f3073]) ).
thf(f3808,plain,
( spl0_82
| ~ spl0_16
| ~ spl0_7
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f3630,f3617,f127,f237,f3174]) ).
thf(f3813,definition,
( spl0_103
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 )
| ( ( b @ X1 @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
thf(f3814,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( ( b @ X1 @ z )
= $true ) )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f3813]) ).
thf(f3817,definition,
( spl0_104
<=> ( ( r @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
thf(f3818,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f3817]) ).
thf(f3820,definition,
( spl0_105
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
thf(f3821,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f3820]) ).
thf(f3822,plain,
( spl0_104
| spl0_105
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f3433,f70,f3820,f3817]) ).
thf(f3824,definition,
( spl0_106
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
thf(f3825,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f3824]) ).
thf(f3826,plain,
( spl0_106
| spl0_103
| ~ spl0_1
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f2417,f160,f45,f3813,f3824]) ).
thf(f3828,definition,
( spl0_107
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
thf(f3829,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f3828]) ).
thf(f3830,plain,
( spl0_107
| ~ spl0_16
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f3437,f70,f237,f3828]) ).
thf(f3833,definition,
( spl0_108
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
thf(f3834,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f3833]) ).
thf(f3835,plain,
( spl0_104
| spl0_108 ),
inference(avatar_split_clause,[],[f2294,f3833,f3817]) ).
thf(f3842,plain,
( spl0_73
| ~ spl0_16
| ~ spl0_4
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f3629,f3617,f70,f237,f3073]) ).
thf(f3843,plain,
( ~ spl0_16
| ~ spl0_74
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f3626,f3617,f3076,f237]) ).
thf(f3844,plain,
( spl0_103
| ~ spl0_1
| spl0_13 ),
inference(avatar_split_clause,[],[f2416,f194,f45,f3813]) ).
thf(f3855,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_76
| ~ spl0_104 ),
inference(constrained_superposition,[],[f3364,f3818]) ).
thf(f3865,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_76
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f3855]) ).
thf(f3869,plain,
( ( $true
= ( b @ ( s @ z ) @ z ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f237]) ).
thf(f3871,plain,
( spl0_79
| spl0_90
| ~ spl0_76
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f3865,f3817,f3103,f3617,f3114]) ).
thf(f3901,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_11
| spl0_13
| ~ spl0_78 ),
inference(constrained_superposition,[],[f2930,f3112]) ).
thf(f3902,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_78 ),
inference(constrained_superposition,[],[f161,f3112]) ).
thf(f3904,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f29,f3112]) ).
thf(f3907,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f3904]) ).
thf(f3908,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_11
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f3902]) ).
thf(f3914,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_11
| spl0_13
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f3901]) ).
thf(f3916,plain,
( spl0_101
| ~ spl0_11
| spl0_13
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f3914,f3111,f194,f160,f3765]) ).
thf(f3921,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_78 ),
inference(constrained_superposition,[],[f3908,f36]) ).
thf(f3926,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_11
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f3921]) ).
thf(f3956,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ z )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X2 )
| ( $true != $true )
| ( z = X2 )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_1
| ~ spl0_78 ),
inference(constrained_superposition,[],[f3907,f337]) ).
thf(f3960,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X2 )
| ( ( b @ X2 @ z )
= $true )
| ( z = X2 ) )
| ~ spl0_1
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f3956]) ).
thf(f3966,definition,
( spl0_113
<=> ! [X2: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X2 )
| ( ( b @ X2 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
thf(f3967,plain,
( ! [X2: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X2 )
| ( ( s @ ( s @ z ) )
= X2 )
| ( ( b @ X2 @ z )
= $true ) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f3966]) ).
thf(f3968,plain,
( spl0_8
| spl0_113
| spl0_74
| ~ spl0_1
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f3960,f3111,f45,f3076,f3966,f130]) ).
thf(f3970,plain,
( spl0_72
| spl0_88 ),
inference(avatar_split_clause,[],[f3584,f3574,f3060]) ).
thf(f3986,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_13
| ~ spl0_65 ),
inference(constrained_superposition,[],[f2272,f2767]) ).
thf(f3994,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( z
= ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_65 ),
inference(constrained_superposition,[],[f161,f2767]) ).
thf(f3995,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f65,f2767]) ).
thf(f4001,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_11
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f3994]) ).
thf(f4002,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( s @ X0 )
= z )
| ( $true != $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_65 ),
inference(duplicate_literal_removal,[],[f3995]) ).
thf(f4003,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f4002]) ).
thf(f4007,plain,
( ( z
= ( s @ z ) )
| spl0_13
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f3986]) ).
thf(f4009,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_11
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f4001,f32]) ).
thf(f4010,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f4003,f32]) ).
thf(f4011,plain,
( $false
| spl0_13
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f4007,f32]) ).
thf(f4012,plain,
( spl0_13
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f4011]) ).
thf(f4014,plain,
( spl0_106
| ~ spl0_11
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f4009,f2766,f160,f3824]) ).
thf(f4016,definition,
( spl0_114
<=> ! [X2: $i,X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
thf(f4017,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f4016]) ).
thf(f4018,plain,
( spl0_114
| spl0_60
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f4010,f2766,f2422,f4016]) ).
thf(f4019,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f131,f80]) ).
thf(f4025,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f4019]) ).
thf(f4031,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_72 ),
inference(constrained_superposition,[],[f4025,f3061]) ).
thf(f4040,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f4031]) ).
thf(f4042,plain,
( spl0_86
| ~ spl0_8
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f4040,f3060,f130,f3466]) ).
thf(f4043,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_108 ),
inference(constrained_superposition,[],[f3834,f79]) ).
thf(f4059,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_108 ),
inference(duplicate_literal_removal,[],[f4043]) ).
thf(f4060,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f4059]) ).
thf(f4129,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| spl0_104 ),
inference(avatar_component_clause,[],[f3817]) ).
thf(f4139,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_86 ),
inference(avatar_component_clause,[],[f3466]) ).
thf(f4141,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| spl0_104 ),
inference(constrained_superposition,[],[f4129,f28]) ).
thf(f4142,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ z ) @ z ) )
| spl0_104 ),
inference(trivial_inequality_removal,[],[f4141]) ).
thf(f4143,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_86 ),
inference(constrained_superposition,[],[f4139,f28]) ).
thf(f4144,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_86 ),
inference(trivial_inequality_removal,[],[f4143]) ).
thf(f4145,plain,
( spl0_79
| spl0_90
| spl0_86 ),
inference(avatar_split_clause,[],[f4144,f3466,f3617,f3114]) ).
thf(f4146,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_90 ),
inference(constrained_superposition,[],[f131,f3618]) ).
thf(f4155,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f4146]) ).
thf(f4160,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_90 ),
inference(constrained_superposition,[],[f4155,f337]) ).
thf(f4164,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( b @ X0 @ z ) ) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f4160]) ).
thf(f4166,plain,
( spl0_113
| ~ spl0_1
| ~ spl0_8
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f4164,f3617,f130,f45,f3966]) ).
thf(f4200,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_70
| spl0_77 ),
inference(constrained_superposition,[],[f3742,f3054]) ).
thf(f4219,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_70
| spl0_77 ),
inference(trivial_inequality_removal,[],[f4200]) ).
thf(f4237,plain,
( $false
| ~ spl0_70
| spl0_77 ),
inference(forward_subsumption_resolution,[],[f4219,f32]) ).
thf(f4238,plain,
( ~ spl0_70
| spl0_77 ),
inference(avatar_contradiction_clause,[],[f4237]) ).
thf(f4266,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
= $true ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f3101,f28]) ).
thf(f4267,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
= $true ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f4266]) ).
thf(f4274,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_77
| ~ spl0_78 ),
inference(constrained_superposition,[],[f3908,f3108]) ).
thf(f4276,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_77 ),
inference(constrained_superposition,[],[f302,f3108]) ).
thf(f4280,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f29,f3108]) ).
thf(f4283,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f4280]) ).
thf(f4286,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_11
| ~ spl0_77
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f4274]) ).
thf(f4287,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f4276]) ).
thf(f4288,plain,
( $false
| ~ spl0_75
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f3175,f3101]) ).
thf(f4289,plain,
( ~ spl0_75
| ~ spl0_82 ),
inference(avatar_contradiction_clause,[],[f4288]) ).
thf(f4365,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_77
| ~ spl0_94 ),
inference(constrained_superposition,[],[f3731,f3108]) ).
thf(f4380,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_77
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f4365]) ).
thf(f4386,plain,
( $false
| ~ spl0_16
| ~ spl0_77
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f4380,f3869]) ).
thf(f4387,plain,
( ~ spl0_16
| ~ spl0_77
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f4386]) ).
thf(f4392,plain,
( spl0_70
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f4267,f3100,f3053]) ).
thf(f4396,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f4283,f80]) ).
thf(f4399,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( z = X2 )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X2 )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_77 ),
inference(constrained_superposition,[],[f4283,f337]) ).
thf(f4401,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f4396]) ).
thf(f4404,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X2 )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X2 )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_77 ),
inference(duplicate_literal_removal,[],[f4399]) ).
thf(f4405,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X2 )
| ( ( b @ X2 @ z )
= $true )
| ( z = X2 )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f4404]) ).
thf(f4408,plain,
( spl0_113
| spl0_60
| spl0_74
| ~ spl0_1
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f4405,f3107,f45,f3076,f2422,f3966]) ).
thf(f4640,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_86
| ~ spl0_107 ),
inference(constrained_superposition,[],[f4139,f3829]) ).
thf(f4648,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f27,f3829]) ).
thf(f4651,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_86
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f4640]) ).
thf(f4653,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f4648]) ).
thf(f4662,plain,
( spl0_73
| spl0_86
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f4651,f3828,f3466,f3073]) ).
thf(f4664,definition,
( spl0_135
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
thf(f4665,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f4664]) ).
thf(f4666,plain,
( spl0_17
| spl0_135
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f4653,f3828,f4664,f249]) ).
thf(f4767,plain,
( spl0_113
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f3614,f3103,f3966]) ).
thf(f4812,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_87
| ~ spl0_113 ),
inference(constrained_superposition,[],[f3470,f3967]) ).
thf(f4839,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_87
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f4812]) ).
thf(f4865,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( z = X0 )
| ( $true
= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_87
| ~ spl0_103
| ~ spl0_113 ),
inference(constrained_superposition,[],[f4839,f3814]) ).
thf(f4869,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_87
| ~ spl0_103
| ~ spl0_113 ),
inference(duplicate_literal_removal,[],[f4865]) ).
thf(f4870,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_87
| ~ spl0_103
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f4869]) ).
thf(f5288,definition,
( spl0_149
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
thf(f5289,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f5288]) ).
thf(f5336,definition,
( spl0_154
<=> ! [X0: $i] :
( ( $true
= ( b @ z @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
thf(f5337,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f5336]) ).
thf(f5784,plain,
( ( ( s @ z )
!= ( s @ ( s @ z ) ) )
| spl0_79 ),
inference(avatar_component_clause,[],[f3114]) ).
thf(f5806,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_73 ),
inference(avatar_component_clause,[],[f3073]) ).
thf(f5846,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_79 ),
inference(extensionality_resolution,[],[f41,f5784]) ).
thf(f5847,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_79 ),
inference(extensionality_resolution,[],[f41,f5784]) ).
thf(f5853,definition,
( spl0_167
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
thf(f5854,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f5853]) ).
thf(f5856,definition,
( spl0_168
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
thf(f5857,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f5856]) ).
thf(f5860,definition,
( spl0_169
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).
thf(f5861,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f5860]) ).
thf(f5863,definition,
( spl0_170
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
thf(f5864,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f5863]) ).
thf(f5867,definition,
( spl0_171
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
thf(f5868,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f5867]) ).
thf(f5870,definition,
( spl0_172
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
thf(f5871,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f5870]) ).
thf(f5890,definition,
( spl0_173
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
thf(f5891,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f5890]) ).
thf(f5898,definition,
( spl0_175
<=> ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
thf(f5899,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 ) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f5898]) ).
thf(f5903,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_167 ),
inference(constrained_superposition,[],[f302,f5854]) ).
thf(f5926,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f5903]) ).
thf(f5931,definition,
( spl0_176
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
thf(f5932,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f5931]) ).
thf(f5934,definition,
( spl0_177
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
thf(f5935,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f5934]) ).
thf(f5939,definition,
( spl0_178
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
thf(f5940,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f5939]) ).
thf(f5944,definition,
( spl0_179
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
thf(f5945,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_179 ),
inference(avatar_component_clause,[],[f5944]) ).
thf(f5946,plain,
( spl0_82
| ~ spl0_179
| ~ spl0_11
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f5926,f5853,f160,f5944,f3174]) ).
thf(f5970,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_169 ),
inference(constrained_superposition,[],[f302,f5861]) ).
thf(f5984,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f5970]) ).
thf(f5994,definition,
( spl0_180
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
thf(f5995,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f5994]) ).
thf(f5997,definition,
( spl0_181
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
thf(f5998,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f5997]) ).
thf(f6006,definition,
( spl0_183
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f6007,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f6006]) ).
thf(f6008,plain,
( ~ spl0_179
| spl0_183
| ~ spl0_11
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f5984,f5860,f160,f6006,f5944]) ).
thf(f6011,definition,
( spl0_184
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
thf(f6012,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f6011]) ).
thf(f6018,definition,
( spl0_186
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f6019,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_186 ),
inference(avatar_component_clause,[],[f6018]) ).
thf(f6027,definition,
( spl0_187
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
thf(f6028,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f6027]) ).
thf(f6030,definition,
( spl0_188
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
thf(f6031,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_188 ),
inference(avatar_component_clause,[],[f6030]) ).
thf(f6035,definition,
( spl0_189
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
thf(f6036,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f6035]) ).
thf(f6043,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f79,f6012]) ).
thf(f6112,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f6043,f31]) ).
thf(f6128,plain,
( $false
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f6112,f26]) ).
thf(f6129,plain,
~ spl0_184,
inference(avatar_contradiction_clause,[],[f6128]) ).
thf(f6153,definition,
( spl0_190
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f6154,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f6153]) ).
thf(f6173,definition,
( spl0_191
<=> ! [X1: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
thf(f6174,plain,
( ! [X1: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f6173]) ).
thf(f6176,definition,
( spl0_192
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f6177,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f6176]) ).
thf(f6185,definition,
( spl0_194
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f6186,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f6185]) ).
thf(f6188,definition,
( spl0_195
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
thf(f6189,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f6188]) ).
thf(f6194,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_13
| spl0_179 ),
inference(constrained_superposition,[],[f5945,f2900]) ).
thf(f6198,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_13
| spl0_179 ),
inference(trivial_inequality_removal,[],[f6194]) ).
thf(f6204,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_13
| spl0_179 ),
inference(forward_subsumption_resolution,[],[f6198,f32]) ).
thf(f6211,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f6018]) ).
thf(f6212,plain,
( spl0_186
| spl0_187
| spl0_13
| spl0_179 ),
inference(avatar_split_clause,[],[f6204,f5944,f194,f6027,f6018]) ).
thf(f6222,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f80,f6028]) ).
thf(f6287,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f6222,f26]) ).
thf(f6303,plain,
( $false
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f6287,f31]) ).
thf(f6304,plain,
~ spl0_187,
inference(avatar_contradiction_clause,[],[f6303]) ).
thf(f6327,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true ) )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f6174,f28]) ).
thf(f6330,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f6327]) ).
thf(f6336,plain,
( spl0_175
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f6330,f6173,f5898]) ).
thf(f6381,definition,
( spl0_199
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
thf(f6382,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f6381]) ).
thf(f6385,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_71
| ~ spl0_178 ),
inference(constrained_superposition,[],[f3058,f5940]) ).
thf(f6393,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_76
| ~ spl0_178 ),
inference(constrained_superposition,[],[f3364,f5940]) ).
thf(f6399,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_76
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f6393]) ).
thf(f6401,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_71
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f6385]) ).
thf(f6414,definition,
( spl0_200
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
thf(f6415,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f6414]) ).
thf(f6416,plain,
( spl0_190
| spl0_200
| ~ spl0_76
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f6399,f5939,f3103,f6414,f6153]) ).
thf(f6417,plain,
( spl0_200
| ~ spl0_71
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f6401,f5939,f3057,f6414]) ).
thf(f6441,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f2620,f6154]) ).
thf(f6512,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f6441,f31]) ).
thf(f6526,plain,
( $false
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f6512,f26]) ).
thf(f6527,plain,
~ spl0_190,
inference(avatar_contradiction_clause,[],[f6526]) ).
thf(f6539,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ~ spl0_1
| ~ spl0_176 ),
inference(constrained_superposition,[],[f46,f5932]) ).
thf(f6544,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ~ spl0_1
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f6539]) ).
thf(f6560,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_87
| ~ spl0_103
| ~ spl0_113
| spl0_188 ),
inference(constrained_superposition,[],[f6031,f4870]) ).
thf(f6568,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_87
| ~ spl0_103
| ~ spl0_113
| spl0_188 ),
inference(trivial_inequality_removal,[],[f6560]) ).
thf(f6571,definition,
( spl0_203
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f6572,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f6571]) ).
thf(f6579,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_87
| ~ spl0_103
| ~ spl0_113
| spl0_188 ),
inference(forward_subsumption_resolution,[],[f6568,f32]) ).
thf(f6582,plain,
( spl0_203
| spl0_184
| ~ spl0_87
| ~ spl0_103
| ~ spl0_113
| spl0_188 ),
inference(avatar_split_clause,[],[f6579,f6030,f3966,f3813,f3469,f6011,f6571]) ).
thf(f6588,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f2620,f6572]) ).
thf(f6654,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f6588,f31]) ).
thf(f6669,plain,
( $false
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f6654,f26]) ).
thf(f6670,plain,
~ spl0_203,
inference(avatar_contradiction_clause,[],[f6669]) ).
thf(f6681,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_189 ),
inference(constrained_superposition,[],[f4025,f6036]) ).
thf(f6691,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_8
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f6681]) ).
thf(f6694,definition,
( spl0_207
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f6695,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f6694]) ).
thf(f6697,definition,
( spl0_208
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
thf(f6698,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f6697]) ).
thf(f6732,definition,
( spl0_209
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f6733,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f6732]) ).
thf(f6734,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f6030]) ).
thf(f6742,definition,
( spl0_211
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).
thf(f6743,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f6742]) ).
thf(f6745,definition,
( spl0_212
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).
thf(f6746,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f6745]) ).
thf(f6769,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_78
| ~ spl0_200 ),
inference(constrained_superposition,[],[f3907,f6415]) ).
thf(f6778,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_78
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f6769]) ).
thf(f6792,definition,
( spl0_213
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
thf(f6793,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f6792]) ).
thf(f6794,plain,
( spl0_213
| spl0_177
| ~ spl0_78
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f6778,f6414,f3111,f5934,f6792]) ).
thf(f6798,definition,
( spl0_214
<=> ! [X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
thf(f6799,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f6798]) ).
thf(f6809,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_8
| ~ spl0_189 ),
inference(constrained_superposition,[],[f27,f6691]) ).
thf(f6810,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_8
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f6809]) ).
thf(f6817,plain,
( spl0_17
| spl0_212
| ~ spl0_8
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f6810,f6035,f130,f6745,f249]) ).
thf(f6819,definition,
( spl0_215
<=> ! [X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).
thf(f6820,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 ) )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f6819]) ).
thf(f6827,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_168
| ~ spl0_194 ),
inference(constrained_superposition,[],[f6186,f5857]) ).
thf(f6835,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_168
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f6827]) ).
thf(f6839,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_169
| ~ spl0_199 ),
inference(constrained_superposition,[],[f6382,f5861]) ).
thf(f6854,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_169
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f6839]) ).
thf(f6859,plain,
( $false
| ~ spl0_169
| ~ spl0_188
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f6854,f6734]) ).
thf(f6860,plain,
( ~ spl0_169
| ~ spl0_188
| ~ spl0_199 ),
inference(avatar_contradiction_clause,[],[f6859]) ).
thf(f6880,definition,
( spl0_216
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
thf(f6881,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_216 ),
inference(avatar_component_clause,[],[f6880]) ).
thf(f6884,definition,
( spl0_217
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).
thf(f6885,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f6884]) ).
thf(f6905,definition,
( spl0_219
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
thf(f6906,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f6905]) ).
thf(f6924,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_178 ),
inference(avatar_component_clause,[],[f5939]) ).
thf(f6925,plain,
( ~ spl0_178
| spl0_13
| ~ spl0_1
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f6544,f5931,f45,f194,f5939]) ).
thf(f6928,plain,
( spl0_55
| ~ spl0_13
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f4060,f3833,f194,f2332]) ).
thf(f6929,plain,
( ~ spl0_13
| ~ spl0_11
| ~ spl0_77
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f4286,f3111,f3107,f160,f194]) ).
thf(f6938,plain,
( spl0_82
| ~ spl0_13
| ~ spl0_11
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f4287,f3107,f160,f194,f3174]) ).
thf(f6951,plain,
( ~ spl0_13
| spl0_73
| ~ spl0_11
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f3926,f3111,f160,f3073,f194]) ).
thf(f6952,plain,
( ~ spl0_73
| ~ spl0_168
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f6835,f6185,f5856,f3073]) ).
thf(f6953,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f2360,f48,f45]) ).
thf(f6954,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f49,f35]) ).
thf(f6955,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( b @ z @ X0 ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f49,f28]) ).
thf(f6956,plain,
( ! [X0: $i] :
( ( b @ z @ ( s @ X0 ) )
= $true )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f6954]) ).
thf(f6957,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( b @ z @ X0 ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f6955]) ).
thf(f6958,plain,
( spl0_67
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f6956,f48,f2775]) ).
thf(f6959,plain,
( spl0_65
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f6957,f48,f2766]) ).
thf(f6960,plain,
( spl0_90
| spl0_84
| spl0_17
| spl0_79 ),
inference(avatar_split_clause,[],[f5846,f3114,f249,f3325,f3617]) ).
thf(f6965,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( b @ z @ X0 ) ) )
| spl0_13 ),
inference(constrained_superposition,[],[f2272,f2857]) ).
thf(f6968,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ z @ X0 ) )
| ( z = X0 ) )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f6965]) ).
thf(f6969,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( $true
= ( b @ z @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f6968,f32]) ).
thf(f7001,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_186 ),
inference(constrained_superposition,[],[f4025,f6211]) ).
thf(f7006,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_8
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f7001]) ).
thf(f7016,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_188 ),
inference(constrained_superposition,[],[f6031,f36]) ).
thf(f7019,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_188 ),
inference(trivial_inequality_removal,[],[f7016]) ).
thf(f7022,plain,
( spl0_208
| spl0_188 ),
inference(avatar_split_clause,[],[f7019,f6030,f6697]) ).
thf(f7048,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_186 ),
inference(constrained_superposition,[],[f3558,f7006]) ).
thf(f7052,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_8
| ~ spl0_186 ),
inference(constrained_superposition,[],[f27,f7006]) ).
thf(f7053,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_8
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f7052]) ).
thf(f7058,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f7048]) ).
thf(f7060,plain,
( spl0_192
| spl0_17
| ~ spl0_8
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f7053,f6018,f130,f249,f6176]) ).
thf(f7062,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_8
| ~ spl0_86
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f7058,f3467]) ).
thf(f7063,plain,
( spl0_200
| ~ spl0_8
| ~ spl0_86
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f7062,f6018,f3466,f130,f6414]) ).
thf(f7095,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_98
| ~ spl0_167 ),
inference(constrained_superposition,[],[f3754,f5854]) ).
thf(f7113,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_98
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f7095]) ).
thf(f7115,plain,
( $false
| ~ spl0_98
| ~ spl0_167
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f7113,f6211]) ).
thf(f7116,plain,
( ~ spl0_98
| ~ spl0_167
| ~ spl0_186 ),
inference(avatar_contradiction_clause,[],[f7115]) ).
thf(f7131,plain,
( ( $true != $true )
| ~ spl0_17
| ~ spl0_86 ),
inference(constrained_superposition,[],[f250,f3467]) ).
thf(f7132,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f250,f28]) ).
thf(f7133,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f7132]) ).
thf(f7134,plain,
( $false
| ~ spl0_17
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f7131]) ).
thf(f7135,plain,
( ~ spl0_17
| ~ spl0_86 ),
inference(avatar_contradiction_clause,[],[f7134]) ).
thf(f7136,plain,
( spl0_61
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f7133,f249,f2661]) ).
thf(f7315,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_167
| ~ spl0_199 ),
inference(constrained_superposition,[],[f6382,f5854]) ).
thf(f7317,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_199 ),
inference(constrained_superposition,[],[f6382,f80]) ).
thf(f7322,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_167
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f7315]) ).
thf(f7326,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f7317]) ).
thf(f7329,plain,
( $false
| ~ spl0_77
| ~ spl0_167
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f7322,f3108]) ).
thf(f7330,plain,
( ~ spl0_77
| ~ spl0_167
| ~ spl0_199 ),
inference(avatar_contradiction_clause,[],[f7329]) ).
thf(f7331,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_16
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f7326,f3869]) ).
thf(f7334,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_16
| ~ spl0_199 ),
inference(constrained_superposition,[],[f3558,f7331]) ).
thf(f7338,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_16
| ~ spl0_199 ),
inference(constrained_superposition,[],[f27,f7331]) ).
thf(f7340,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_16
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f7338]) ).
thf(f7341,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_16
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f7334]) ).
thf(f7346,plain,
( spl0_192
| spl0_17
| ~ spl0_16
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f7340,f6381,f237,f249,f6176]) ).
thf(f7347,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_16
| ~ spl0_86
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f7341,f3467]) ).
thf(f7350,plain,
( spl0_200
| ~ spl0_16
| ~ spl0_86
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f7347,f6381,f3466,f237,f6414]) ).
thf(f7351,plain,
( ( $true
= ( b @ ( s @ z ) @ z ) )
| spl0_104 ),
inference(forward_subsumption_resolution,[],[f4142,f32]) ).
thf(f7353,definition,
( spl0_227
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f7354,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f7353]) ).
thf(f7357,plain,
( spl0_16
| spl0_104 ),
inference(avatar_split_clause,[],[f7351,f3817,f237]) ).
thf(f7365,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_104 ),
inference(constrained_superposition,[],[f2359,f3818]) ).
thf(f7369,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ X0 @ z ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_104 ),
inference(constrained_superposition,[],[f41,f3818]) ).
thf(f7371,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( b @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f7369]) ).
thf(f7375,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( b @ ( s @ z ) @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f7365]) ).
thf(f7377,plain,
( spl0_149
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f7371,f3817,f5288]) ).
thf(f7381,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_16
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f7375,f238]) ).
thf(f7383,plain,
( spl0_52
| spl0_16
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f7381,f3817,f237,f2283]) ).
thf(f7384,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f2284,f28]) ).
thf(f7391,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f7384]) ).
thf(f7398,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f27,f5857]) ).
thf(f7402,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f7398]) ).
thf(f7406,plain,
( spl0_173
| spl0_75
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f7402,f5856,f3100,f5890]) ).
thf(f7408,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f71,f36]) ).
thf(f7410,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_195 ),
inference(constrained_superposition,[],[f71,f6189]) ).
thf(f7413,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f7410]) ).
thf(f7416,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f7408]) ).
thf(f7418,plain,
( spl0_114
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f7416,f70,f4016]) ).
thf(f7806,definition,
( spl0_244
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).
thf(f7807,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_244 ),
inference(avatar_component_clause,[],[f7806]) ).
thf(f7809,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_244 ),
inference(constrained_superposition,[],[f7807,f79]) ).
thf(f7811,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_103
| spl0_244 ),
inference(constrained_superposition,[],[f7807,f3814]) ).
thf(f7814,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_244 ),
inference(trivial_inequality_removal,[],[f7809]) ).
thf(f7817,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_103
| spl0_244 ),
inference(trivial_inequality_removal,[],[f7811]) ).
thf(f7819,plain,
( spl0_183
| spl0_244 ),
inference(avatar_split_clause,[],[f7814,f7806,f6006]) ).
thf(f7825,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_103
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f7817,f32]) ).
thf(f7826,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_103
| spl0_188
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f7825,f6031]) ).
thf(f7827,plain,
( spl0_184
| ~ spl0_103
| spl0_188
| spl0_244 ),
inference(avatar_split_clause,[],[f7826,f7806,f6030,f3813,f6011]) ).
thf(f7830,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f3558,f5868]) ).
thf(f7840,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f7830]) ).
thf(f7845,definition,
( spl0_246
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).
thf(f7846,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_246 ),
inference(avatar_component_clause,[],[f7845]) ).
thf(f7847,plain,
( spl0_219
| ~ spl0_246
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f7840,f5867,f7845,f6905]) ).
thf(f7848,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_246 ),
inference(constrained_superposition,[],[f7846,f2620]) ).
thf(f7853,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_246 ),
inference(trivial_inequality_removal,[],[f7848]) ).
thf(f7857,plain,
( spl0_200
| spl0_246 ),
inference(avatar_split_clause,[],[f7853,f7845,f6414]) ).
thf(f7861,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_219 ),
inference(constrained_superposition,[],[f302,f6906]) ).
thf(f7865,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_74
| ~ spl0_219 ),
inference(constrained_superposition,[],[f3077,f6906]) ).
thf(f7866,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_101
| ~ spl0_219 ),
inference(constrained_superposition,[],[f3766,f6906]) ).
thf(f7868,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_78
| ~ spl0_219 ),
inference(constrained_superposition,[],[f3907,f6906]) ).
thf(f7869,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_87
| ~ spl0_219 ),
inference(constrained_superposition,[],[f3470,f6906]) ).
thf(f7876,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_74
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f7865]) ).
thf(f7878,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_101
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f7866]) ).
thf(f7880,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_78
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f7868]) ).
thf(f7881,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_87
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f7869]) ).
thf(f7885,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f7861]) ).
thf(f7888,definition,
( spl0_247
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).
thf(f7889,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_247 ),
inference(avatar_component_clause,[],[f7888]) ).
thf(f7891,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_101
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f7878,f32]) ).
thf(f7893,plain,
( spl0_180
| spl0_247
| ~ spl0_78
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f7880,f6905,f3111,f7888,f5994]) ).
thf(f7894,plain,
( ~ spl0_244
| ~ spl0_87
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f7881,f6905,f3469,f7806]) ).
thf(f7899,plain,
( spl0_184
| spl0_189
| ~ spl0_101
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f7891,f6905,f3765,f6035,f6011]) ).
thf(f7905,plain,
( ~ spl0_188
| ~ spl0_74
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f7876,f6905,f3076,f6030]) ).
thf(f7906,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_78 ),
inference(avatar_component_clause,[],[f3111]) ).
thf(f7909,plain,
( ~ spl0_78
| spl0_183
| ~ spl0_11
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f7885,f6905,f160,f6006,f3111]) ).
thf(f7915,plain,
( spl0_199
| ~ spl0_4
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f7413,f6188,f70,f6381]) ).
thf(f7928,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f27,f5940]) ).
thf(f7935,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f7928]) ).
thf(f7938,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_78 ),
inference(constrained_superposition,[],[f7906,f79]) ).
thf(f7949,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_78 ),
inference(trivial_inequality_removal,[],[f7938]) ).
thf(f7977,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f27,f6698]) ).
thf(f7982,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f7977]) ).
thf(f7987,plain,
( spl0_211
| spl0_209
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f7982,f6697,f6732,f6742]) ).
thf(f7996,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_199 ),
inference(constrained_superposition,[],[f6382,f80]) ).
thf(f8002,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f7996]) ).
thf(f8008,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_170
| ~ spl0_194 ),
inference(constrained_superposition,[],[f6186,f5864]) ).
thf(f8018,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_170
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f8008]) ).
thf(f8025,plain,
( $false
| ~ spl0_170
| ~ spl0_194
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f8018,f6698]) ).
thf(f8026,plain,
( ~ spl0_170
| ~ spl0_194
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f8025]) ).
thf(f8028,plain,
( spl0_194
| spl0_191
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f7935,f5939,f6173,f6185]) ).
thf(f8030,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f6174,f2620]) ).
thf(f8032,plain,
( ( $true != $true )
| ~ spl0_178
| ~ spl0_191 ),
inference(constrained_superposition,[],[f6174,f5940]) ).
thf(f8036,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f8030]) ).
thf(f8037,plain,
( $false
| ~ spl0_178
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f8032]) ).
thf(f8038,plain,
( ~ spl0_178
| ~ spl0_191 ),
inference(avatar_contradiction_clause,[],[f8037]) ).
thf(f8040,plain,
( spl0_200
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f8036,f6173,f6414]) ).
thf(f8055,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_178 ),
inference(constrained_superposition,[],[f6924,f28]) ).
thf(f8056,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_178 ),
inference(trivial_inequality_removal,[],[f8055]) ).
thf(f8096,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_168
| ~ spl0_192 ),
inference(constrained_superposition,[],[f6177,f5857]) ).
thf(f8099,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_168
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f8096]) ).
thf(f8102,plain,
( $false
| ~ spl0_82
| ~ spl0_168
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f8099,f3175]) ).
thf(f8103,plain,
( ~ spl0_82
| ~ spl0_168
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f8102]) ).
thf(f8136,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_105 ),
inference(constrained_superposition,[],[f3821,f36]) ).
thf(f8139,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f8136]) ).
thf(f8144,plain,
( spl0_50
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f8139,f3820,f2270]) ).
thf(f8147,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_178 ),
inference(forward_subsumption_resolution,[],[f8056,f32]) ).
thf(f8149,plain,
( spl0_195
| spl0_178 ),
inference(avatar_split_clause,[],[f8147,f5939,f6188]) ).
thf(f8156,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f29,f6189]) ).
thf(f8158,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f8156]) ).
thf(f8167,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_170
| ~ spl0_173 ),
inference(constrained_superposition,[],[f5891,f5864]) ).
thf(f8170,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_170
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f8167]) ).
thf(f8181,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f5935,f80]) ).
thf(f8184,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_177
| ~ spl0_186 ),
inference(constrained_superposition,[],[f5935,f6211]) ).
thf(f8185,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f8181]) ).
thf(f8189,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_177
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f8184]) ).
thf(f8191,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_90 ),
inference(avatar_component_clause,[],[f3617]) ).
thf(f8192,plain,
( ~ spl0_90
| spl0_227
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f8185,f5934,f7353,f3617]) ).
thf(f8193,plain,
( $false
| ~ spl0_72
| ~ spl0_177
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f8189,f3061]) ).
thf(f8194,plain,
( ~ spl0_72
| ~ spl0_177
| ~ spl0_186 ),
inference(avatar_contradiction_clause,[],[f8193]) ).
thf(f8232,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f46,f2620]) ).
thf(f8240,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f8232]) ).
thf(f8271,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_247 ),
inference(constrained_superposition,[],[f7889,f80]) ).
thf(f8276,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f8271]) ).
thf(f8285,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f5998,f80]) ).
thf(f8289,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f8285]) ).
thf(f8294,definition,
( spl0_253
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).
thf(f8295,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_253 ),
inference(avatar_component_clause,[],[f8294]) ).
thf(f8297,definition,
( spl0_254
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_254])],[avatar_definition]) ).
thf(f8298,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f8297]) ).
thf(f8299,plain,
( ~ spl0_253
| spl0_254
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f8289,f5997,f8297,f8294]) ).
thf(f8300,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_253 ),
inference(constrained_superposition,[],[f8295,f80]) ).
thf(f8306,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_253 ),
inference(trivial_inequality_removal,[],[f8300]) ).
thf(f8312,plain,
( spl0_227
| spl0_253 ),
inference(avatar_split_clause,[],[f8306,f8294,f7353]) ).
thf(f8315,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_217 ),
inference(constrained_superposition,[],[f6885,f35]) ).
thf(f8319,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f8315]) ).
thf(f8323,definition,
( spl0_256
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).
thf(f8324,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_256 ),
inference(avatar_component_clause,[],[f8323]) ).
thf(f8325,plain,
( ~ spl0_256
| spl0_189
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f8319,f6884,f6035,f8323]) ).
thf(f8331,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_256 ),
inference(constrained_superposition,[],[f8324,f35]) ).
thf(f8334,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_256 ),
inference(trivial_inequality_removal,[],[f8331]) ).
thf(f8362,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f8158,f80]) ).
thf(f8371,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f8362]) ).
thf(f8374,definition,
( spl0_258
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).
thf(f8375,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_258 ),
inference(avatar_component_clause,[],[f8374]) ).
thf(f8376,plain,
( spl0_258
| spl0_8
| spl0_227
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f8371,f6188,f7353,f130,f8374]) ).
thf(f8378,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_173
| ~ spl0_227 ),
inference(constrained_superposition,[],[f5891,f7354]) ).
thf(f8379,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f3558,f7354]) ).
thf(f8387,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f8379]) ).
thf(f8388,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_173
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f8378]) ).
thf(f8394,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_86
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f8387,f3467]) ).
thf(f8395,plain,
( $false
| ~ spl0_86
| ~ spl0_173
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f8388,f3467]) ).
thf(f8396,plain,
( ~ spl0_86
| ~ spl0_173
| ~ spl0_227 ),
inference(avatar_contradiction_clause,[],[f8395]) ).
thf(f8399,plain,
( spl0_200
| ~ spl0_86
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f8394,f7353,f3466,f6414]) ).
thf(f8422,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_61
| spl0_90 ),
inference(constrained_superposition,[],[f8191,f2662]) ).
thf(f8451,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_61
| spl0_90 ),
inference(trivial_inequality_removal,[],[f8422]) ).
thf(f8460,plain,
( $false
| ~ spl0_61
| spl0_79
| spl0_90 ),
inference(forward_subsumption_resolution,[],[f8451,f5784]) ).
thf(f8461,plain,
( ~ spl0_61
| spl0_79
| spl0_90 ),
inference(avatar_contradiction_clause,[],[f8460]) ).
thf(f8777,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f5944]) ).
thf(f8794,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_246 ),
inference(avatar_component_clause,[],[f7845]) ).
thf(f8811,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_176 ),
inference(avatar_component_clause,[],[f5931]) ).
thf(f9042,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_208 ),
inference(constrained_superposition,[],[f7391,f6698]) ).
thf(f9043,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f9042]) ).
thf(f9045,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f7806]) ).
thf(f9046,plain,
( spl0_184
| spl0_244
| ~ spl0_52
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f9043,f6697,f2283,f7806,f6011]) ).
thf(f9053,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_91
| ~ spl0_244 ),
inference(constrained_superposition,[],[f3710,f9045]) ).
thf(f9057,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) )
| ~ spl0_244 ),
inference(constrained_superposition,[],[f29,f9045]) ).
thf(f9065,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_91
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f9053]) ).
thf(f9067,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f9057]) ).
thf(f9070,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_91
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f9065,f32]) ).
thf(f9071,plain,
( spl0_189
| spl0_203
| ~ spl0_91
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f9070,f7806,f3709,f6571,f6035]) ).
thf(f9185,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_64
| ~ spl0_77 ),
inference(constrained_superposition,[],[f4283,f2764]) ).
thf(f9194,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_64
| ~ spl0_247 ),
inference(constrained_superposition,[],[f7889,f2764]) ).
thf(f9204,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_64
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f9194]) ).
thf(f9209,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_64
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f9185]) ).
thf(f9235,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_13
| spl0_78 ),
inference(constrained_superposition,[],[f7906,f6969]) ).
thf(f9248,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_13
| spl0_78 ),
inference(trivial_inequality_removal,[],[f9235]) ).
thf(f9264,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_74
| ~ spl0_175 ),
inference(constrained_superposition,[],[f3077,f5899]) ).
thf(f9291,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_74
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f9264]) ).
thf(f9317,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_200 ),
inference(avatar_component_clause,[],[f6414]) ).
thf(f9321,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_74
| ~ spl0_175
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f9291,f6189]) ).
thf(f9330,plain,
( spl0_190
| ~ spl0_74
| ~ spl0_175
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f9321,f6188,f5898,f3076,f6153]) ).
thf(f9435,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_50
| spl0_176 ),
inference(constrained_superposition,[],[f8811,f2271]) ).
thf(f9449,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_50
| spl0_176 ),
inference(trivial_inequality_removal,[],[f9435]) ).
thf(f9458,plain,
( $false
| ~ spl0_50
| spl0_176
| spl0_178 ),
inference(forward_subsumption_resolution,[],[f9449,f6924]) ).
thf(f9459,plain,
( ~ spl0_50
| spl0_176
| spl0_178 ),
inference(avatar_contradiction_clause,[],[f9458]) ).
thf(f9515,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_188
| ~ spl0_215 ),
inference(constrained_superposition,[],[f6031,f6820]) ).
thf(f9542,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_188
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f9515]) ).
thf(f9568,plain,
( $false
| spl0_188
| ~ spl0_215 ),
inference(forward_subsumption_resolution,[],[f9542,f32]) ).
thf(f9569,plain,
( spl0_188
| ~ spl0_215 ),
inference(avatar_contradiction_clause,[],[f9568]) ).
thf(f9580,definition,
( spl0_284
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).
thf(f9581,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_284 ),
inference(avatar_component_clause,[],[f9580]) ).
thf(f9583,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_189 ),
inference(avatar_component_clause,[],[f6035]) ).
thf(f9815,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ z ) )
| spl0_187 ),
inference(avatar_component_clause,[],[f6027]) ).
thf(f9819,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ ( s @ z ) ) )
| spl0_190 ),
inference(avatar_component_clause,[],[f6153]) ).
thf(f9827,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_187 ),
inference(extensionality_resolution,[],[f81,f9815]) ).
thf(f9828,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_187 ),
inference(extensionality_resolution,[],[f81,f9815]) ).
thf(f9829,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_187 ),
inference(extensionality_resolution,[],[f41,f9815]) ).
thf(f9830,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_187 ),
inference(extensionality_resolution,[],[f41,f9815]) ).
thf(f9832,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_187 ),
inference(extensionality_resolution,[],[f37,f9815]) ).
thf(f9836,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f8294]) ).
thf(f9837,plain,
( spl0_192
| spl0_17
| spl0_253
| spl0_187 ),
inference(avatar_split_clause,[],[f9830,f6027,f8294,f249,f6176]) ).
thf(f9839,definition,
( spl0_290
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).
thf(f9840,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f9839]) ).
thf(f9842,definition,
( spl0_291
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).
thf(f9843,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f9842]) ).
thf(f9844,plain,
( spl0_290
| spl0_291
| spl0_187 ),
inference(avatar_split_clause,[],[f9828,f6027,f9842,f9839]) ).
thf(f9846,definition,
( spl0_292
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
thf(f9847,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f9846]) ).
thf(f9849,definition,
( spl0_293
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).
thf(f9850,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f9849]) ).
thf(f9851,plain,
( spl0_292
| spl0_293
| spl0_187 ),
inference(avatar_split_clause,[],[f9832,f6027,f9849,f9846]) ).
thf(f9853,definition,
( spl0_294
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
thf(f9854,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f9853]) ).
thf(f9856,definition,
( spl0_295
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).
thf(f9857,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_295 ),
inference(avatar_component_clause,[],[f9856]) ).
thf(f9858,plain,
( spl0_294
| spl0_295
| spl0_187 ),
inference(avatar_split_clause,[],[f9827,f6027,f9856,f9853]) ).
thf(f9859,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_190 ),
inference(extensionality_resolution,[],[f81,f9819]) ).
thf(f9860,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_190 ),
inference(extensionality_resolution,[],[f81,f9819]) ).
thf(f9862,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_190 ),
inference(extensionality_resolution,[],[f41,f9819]) ).
thf(f9863,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_190 ),
inference(extensionality_resolution,[],[f37,f9819]) ).
thf(f9864,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_190 ),
inference(extensionality_resolution,[],[f37,f9819]) ).
thf(f9865,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_190 ),
inference(extensionality_resolution,[],[f28,f9819]) ).
thf(f9869,definition,
( spl0_296
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).
thf(f9870,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_296 ),
inference(avatar_component_clause,[],[f9869]) ).
thf(f9872,definition,
( spl0_297
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_297])],[avatar_definition]) ).
thf(f9873,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f9872]) ).
thf(f9874,plain,
( spl0_296
| spl0_297
| spl0_190 ),
inference(avatar_split_clause,[],[f9859,f6153,f9872,f9869]) ).
thf(f9876,definition,
( spl0_298
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
thf(f9877,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f9876]) ).
thf(f9879,definition,
( spl0_299
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_299])],[avatar_definition]) ).
thf(f9880,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_299 ),
inference(avatar_component_clause,[],[f9879]) ).
thf(f9881,plain,
( spl0_298
| spl0_299
| spl0_190 ),
inference(avatar_split_clause,[],[f9860,f6153,f9879,f9876]) ).
thf(f9890,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_114
| ~ spl0_253 ),
inference(constrained_superposition,[],[f4017,f9836]) ).
thf(f9893,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_114
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f9890]) ).
thf(f9916,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_207
| ~ spl0_292 ),
inference(constrained_superposition,[],[f6695,f9847]) ).
thf(f9924,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_207
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f9916]) ).
thf(f9936,plain,
( $false
| ~ spl0_77
| ~ spl0_207
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f9924,f3108]) ).
thf(f9937,plain,
( ~ spl0_77
| ~ spl0_207
| ~ spl0_292 ),
inference(avatar_contradiction_clause,[],[f9936]) ).
thf(f9943,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_217
| ~ spl0_293 ),
inference(constrained_superposition,[],[f6885,f9850]) ).
thf(f9956,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_217
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f9943]) ).
thf(f9962,definition,
( spl0_300
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
thf(f9963,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f9962]) ).
thf(f9965,plain,
( $false
| ~ spl0_168
| ~ spl0_217
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f9956,f5857]) ).
thf(f9966,plain,
( ~ spl0_168
| ~ spl0_217
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f9965]) ).
thf(f9971,plain,
( spl0_72
| spl0_71
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f8240,f45,f3057,f3060]) ).
thf(f9974,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_64
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f9209,f32]) ).
thf(f9975,plain,
( spl0_82
| spl0_78 ),
inference(avatar_split_clause,[],[f7949,f3111,f3174]) ).
thf(f9977,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_64
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f9204,f32]) ).
thf(f9982,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_114
| spl0_178
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f9893,f6924]) ).
thf(f9985,plain,
( ~ spl0_90
| spl0_254
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f8276,f7888,f8297,f3617]) ).
thf(f9987,plain,
( ~ spl0_16
| spl0_227
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f8002,f6381,f7353,f237]) ).
thf(f9989,plain,
( spl0_87
| spl0_86
| spl0_8
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f4401,f3107,f130,f3466,f3469]) ).
thf(f9992,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_13
| spl0_78 ),
inference(forward_subsumption_resolution,[],[f9248,f32]) ).
thf(f9994,plain,
( ~ spl0_216
| ~ spl0_170
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f8170,f5890,f5863,f6880]) ).
thf(f9999,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_64
| ~ spl0_77
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f9974,f5784]) ).
thf(f10001,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_64
| spl0_189
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f9977,f9583]) ).
thf(f10005,plain,
( ~ spl0_16
| ~ spl0_114
| spl0_178
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f9982,f8294,f5939,f4016,f237]) ).
thf(f10008,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_13
| spl0_78
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f9992,f5784]) ).
thf(f10010,plain,
( spl0_8
| spl0_72
| spl0_87
| ~ spl0_64
| ~ spl0_77
| spl0_79 ),
inference(avatar_split_clause,[],[f9999,f3114,f3107,f2763,f3469,f3060,f130]) ).
thf(f10011,plain,
( spl0_184
| ~ spl0_90
| ~ spl0_64
| spl0_189
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f10001,f7888,f6035,f2763,f3617,f6011]) ).
thf(f10014,plain,
( spl0_72
| spl0_13
| spl0_78
| spl0_79 ),
inference(avatar_split_clause,[],[f10008,f3114,f3111,f194,f3060]) ).
thf(f10020,plain,
( spl0_186
| spl0_256 ),
inference(avatar_split_clause,[],[f8334,f8323,f6018]) ).
thf(f10037,plain,
( spl0_169
| spl0_170
| spl0_190 ),
inference(avatar_split_clause,[],[f9863,f6153,f5863,f5860]) ).
thf(f10045,plain,
( spl0_171
| spl0_172
| spl0_190 ),
inference(avatar_split_clause,[],[f9864,f6153,f5870,f5867]) ).
thf(f10055,plain,
( spl0_78
| spl0_84
| spl0_75
| spl0_79 ),
inference(avatar_split_clause,[],[f5847,f3114,f3100,f3325,f3111]) ).
thf(f10057,plain,
( spl0_173
| spl0_75
| spl0_167
| spl0_190 ),
inference(avatar_split_clause,[],[f9862,f6153,f5853,f3100,f5890]) ).
thf(f10059,plain,
( ( $true != $true )
| ~ spl0_10
| ~ spl0_253 ),
inference(constrained_superposition,[],[f150,f9836]) ).
thf(f10060,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( b @ z @ X0 ) ) )
| ~ spl0_10
| ~ spl0_64 ),
inference(constrained_superposition,[],[f150,f2764]) ).
thf(f10068,plain,
( $false
| ~ spl0_10
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f10059]) ).
thf(f10069,plain,
( ~ spl0_10
| ~ spl0_253 ),
inference(avatar_contradiction_clause,[],[f10068]) ).
thf(f10070,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_10
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f10060]) ).
thf(f10075,plain,
( spl0_154
| ~ spl0_10
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f10070,f2763,f149,f5336]) ).
thf(f10097,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_72
| ~ spl0_77 ),
inference(constrained_superposition,[],[f4283,f3061]) ).
thf(f10098,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f90,f3061]) ).
thf(f10102,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_72
| ~ spl0_77 ),
inference(duplicate_literal_removal,[],[f10097]) ).
thf(f10103,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_72
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f10102]) ).
thf(f10104,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f10098]) ).
thf(f10109,plain,
( spl0_74
| spl0_60
| ~ spl0_72
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f10103,f3107,f3060,f2422,f3076]) ).
thf(f10110,plain,
( spl0_82
| spl0_8
| spl0_74
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f10104,f3060,f3076,f130,f3174]) ).
thf(f10111,plain,
( ( $true != $true )
| ~ spl0_75
| ~ spl0_168 ),
inference(constrained_superposition,[],[f3101,f5857]) ).
thf(f10114,plain,
( $false
| ~ spl0_75
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f10111]) ).
thf(f10115,plain,
( ~ spl0_75
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f10114]) ).
thf(f10184,plain,
( spl0_167
| spl0_168
| spl0_190 ),
inference(avatar_split_clause,[],[f9865,f6153,f5856,f5853]) ).
thf(f10190,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f27,f3175]) ).
thf(f10193,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f10190]) ).
thf(f10198,plain,
( spl0_75
| spl0_84
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f10193,f3174,f3325,f3100]) ).
thf(f10248,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f6743,f2620]) ).
thf(f10250,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f6743,f28]) ).
thf(f10251,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f10248]) ).
thf(f10252,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f10250]) ).
thf(f10255,plain,
( spl0_219
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f10251,f6742,f6905]) ).
thf(f10256,plain,
( spl0_215
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f10252,f6742,f6819]) ).
thf(f10257,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_149
| ~ spl0_227 ),
inference(constrained_superposition,[],[f5289,f7354]) ).
thf(f10259,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f3558,f7354]) ).
thf(f10260,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_227 ),
inference(constrained_superposition,[],[f46,f7354]) ).
thf(f10266,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_149
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f10257]) ).
thf(f10268,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f10260]) ).
thf(f10269,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f10259]) ).
thf(f10274,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_149
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f10266,f32]) ).
thf(f10279,plain,
( spl0_195
| spl0_191
| ~ spl0_149
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f10274,f7353,f5288,f6173,f6188]) ).
thf(f10283,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_1
| spl0_186
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f10268,f6019]) ).
thf(f10286,plain,
( spl0_200
| ~ spl0_86
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f10269,f7353,f3466,f6414]) ).
thf(f10287,plain,
( ~ spl0_104
| ~ spl0_1
| spl0_186
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f10283,f7353,f6018,f45,f3817]) ).
thf(f10297,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_86 ),
inference(constrained_superposition,[],[f27,f3467]) ).
thf(f10300,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f10297]) ).
thf(f10304,plain,
( spl0_17
| spl0_84
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f10300,f3466,f3325,f249]) ).
thf(f10413,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_246 ),
inference(constrained_superposition,[],[f7846,f28]) ).
thf(f10415,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_246 ),
inference(trivial_inequality_removal,[],[f10413]) ).
thf(f10416,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_190
| spl0_246 ),
inference(forward_subsumption_resolution,[],[f10415,f9819]) ).
thf(f10417,plain,
( spl0_200
| spl0_190
| spl0_246 ),
inference(avatar_split_clause,[],[f10416,f7845,f6153,f6414]) ).
thf(f10418,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_108
| ~ spl0_200 ),
inference(constrained_superposition,[],[f3834,f6415]) ).
thf(f10431,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_108
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f10418]) ).
thf(f10437,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_209
| ~ spl0_254 ),
inference(constrained_superposition,[],[f6733,f8298]) ).
thf(f10439,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_254 ),
inference(constrained_superposition,[],[f46,f8298]) ).
thf(f10448,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f10439]) ).
thf(f10450,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_209
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f10437]) ).
thf(f10460,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_74 ),
inference(constrained_superposition,[],[f3077,f80]) ).
thf(f10470,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f10460]) ).
thf(f10512,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_244
| ~ spl0_292 ),
inference(constrained_superposition,[],[f9067,f9847]) ).
thf(f10524,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_244
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f10512]) ).
thf(f10527,plain,
( spl0_94
| spl0_247
| ~ spl0_244
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f10524,f9846,f7806,f7888,f3730]) ).
thf(f10529,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f3326,f35]) ).
thf(f10530,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f3326,f2620]) ).
thf(f10533,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f10530]) ).
thf(f10534,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f10529]) ).
thf(f10543,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_200
| ~ spl0_214 ),
inference(constrained_superposition,[],[f6799,f6415]) ).
thf(f10559,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_200
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f10543]) ).
thf(f10562,plain,
( $false
| ~ spl0_72
| ~ spl0_200
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f10559,f3061]) ).
thf(f10563,plain,
( ~ spl0_72
| ~ spl0_200
| ~ spl0_214 ),
inference(avatar_contradiction_clause,[],[f10562]) ).
thf(f10565,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_4
| ~ spl0_77 ),
inference(constrained_superposition,[],[f71,f3108]) ).
thf(f10566,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_4
| ~ spl0_16 ),
inference(constrained_superposition,[],[f71,f3869]) ).
thf(f10571,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f10565]) ).
thf(f10573,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f10566]) ).
thf(f10574,plain,
( spl0_24
| ~ spl0_4
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f10573,f237,f70,f554]) ).
thf(f10576,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f555,f79]) ).
thf(f10589,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f10576]) ).
thf(f10591,plain,
( spl0_105
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f10589,f554,f3820]) ).
thf(f10592,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_70
| spl0_78 ),
inference(constrained_superposition,[],[f7906,f3054]) ).
thf(f10603,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_24
| ~ spl0_70 ),
inference(constrained_superposition,[],[f555,f3054]) ).
thf(f10607,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_70
| spl0_78 ),
inference(trivial_inequality_removal,[],[f10592]) ).
thf(f10619,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_24
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f10603]) ).
thf(f10621,plain,
( $false
| ~ spl0_70
| spl0_78
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f10607,f5784]) ).
thf(f10622,plain,
( ~ spl0_70
| spl0_78
| spl0_79 ),
inference(avatar_contradiction_clause,[],[f10621]) ).
thf(f10627,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_24
| ~ spl0_70
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f10619,f3108]) ).
thf(f10628,plain,
( $false
| ~ spl0_24
| ~ spl0_70
| ~ spl0_77
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f10627,f5784]) ).
thf(f10629,plain,
( ~ spl0_24
| ~ spl0_70
| ~ spl0_77
| spl0_79 ),
inference(avatar_contradiction_clause,[],[f10628]) ).
thf(f10655,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_72
| ~ spl0_108
| ~ spl0_200 ),
inference(forward_subsumption_resolution,[],[f10431,f3061]) ).
thf(f10658,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_72
| ~ spl0_108
| spl0_176
| ~ spl0_200 ),
inference(forward_subsumption_resolution,[],[f10655,f8811]) ).
thf(f10660,plain,
( spl0_258
| ~ spl0_72
| ~ spl0_108
| spl0_176
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f10658,f6414,f5931,f3833,f3060,f8374]) ).
thf(f10664,plain,
( ~ spl0_104
| spl0_189
| ~ spl0_1
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f10448,f8297,f45,f6035,f3817]) ).
thf(f10665,plain,
( spl0_86
| ~ spl0_16
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f10470,f3076,f237,f3466]) ).
thf(f10670,plain,
( ~ spl0_104
| ~ spl0_209
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f10450,f8297,f6732,f3817]) ).
thf(f10722,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_188 ),
inference(constrained_superposition,[],[f71,f6734]) ).
thf(f10727,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f10722]) ).
thf(f10728,plain,
( spl0_207
| ~ spl0_4
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f10727,f6030,f70,f6694]) ).
thf(f10790,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_284 ),
inference(constrained_superposition,[],[f9581,f80]) ).
thf(f10795,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_284 ),
inference(trivial_inequality_removal,[],[f10790]) ).
thf(f10810,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_293 ),
inference(constrained_superposition,[],[f27,f9850]) ).
thf(f10813,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f10810]) ).
thf(f10818,plain,
( spl0_75
| spl0_300
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f10813,f9849,f9962,f3100]) ).
thf(f10820,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_94
| ~ spl0_167 ),
inference(constrained_superposition,[],[f3731,f5854]) ).
thf(f10830,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_94
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f10820]) ).
thf(f10840,plain,
( $false
| ~ spl0_94
| ~ spl0_167
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f10830,f9836]) ).
thf(f10841,plain,
( ~ spl0_94
| ~ spl0_167
| ~ spl0_253 ),
inference(avatar_contradiction_clause,[],[f10840]) ).
thf(f10906,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_207 ),
inference(constrained_superposition,[],[f6695,f80]) ).
thf(f10912,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f10906]) ).
thf(f10974,definition,
( spl0_312
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition]) ).
thf(f10975,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f10974]) ).
thf(f10998,definition,
( spl0_316
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_316])],[avatar_definition]) ).
thf(f10999,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f10998]) ).
thf(f11008,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_172
| ~ spl0_214 ),
inference(constrained_superposition,[],[f6799,f5871]) ).
thf(f11023,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_172
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f11008]) ).
thf(f11027,plain,
( $false
| ~ spl0_172
| ~ spl0_189
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f11023,f6036]) ).
thf(f11028,plain,
( ~ spl0_172
| ~ spl0_189
| ~ spl0_214 ),
inference(avatar_contradiction_clause,[],[f11027]) ).
thf(f11062,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_316 ),
inference(constrained_superposition,[],[f79,f10999]) ).
thf(f11105,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_316 ),
inference(forward_subsumption_resolution,[],[f11062,f26]) ).
thf(f11113,plain,
( $false
| ~ spl0_316 ),
inference(forward_subsumption_resolution,[],[f11105,f31]) ).
thf(f11114,plain,
~ spl0_316,
inference(avatar_contradiction_clause,[],[f11113]) ).
thf(f11130,definition,
( spl0_321
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_321])],[avatar_definition]) ).
thf(f11131,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_321 ),
inference(avatar_component_clause,[],[f11130]) ).
thf(f11133,definition,
( spl0_322
<=> ! [X1: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_322])],[avatar_definition]) ).
thf(f11134,plain,
( ! [X1: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f11133]) ).
thf(f11141,definition,
( spl0_324
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).
thf(f11142,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f11141]) ).
thf(f11155,definition,
( spl0_325
<=> ! [X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).
thf(f11156,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f11155]) ).
thf(f11158,definition,
( spl0_326
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_326])],[avatar_definition]) ).
thf(f11159,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_326 ),
inference(avatar_component_clause,[],[f11158]) ).
thf(f11204,definition,
( spl0_327
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).
thf(f11205,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_327 ),
inference(avatar_component_clause,[],[f11204]) ).
thf(f11214,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_258
| ~ spl0_294 ),
inference(constrained_superposition,[],[f8375,f9854]) ).
thf(f11226,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_258
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f11214]) ).
thf(f11232,definition,
( spl0_329
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
thf(f11233,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f11232]) ).
thf(f11238,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_103
| ~ spl0_258
| ~ spl0_294 ),
inference(constrained_superposition,[],[f11226,f3814]) ).
thf(f11244,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_103
| ~ spl0_258
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f11238]) ).
thf(f11248,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_103
| ~ spl0_258
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f11244,f32]) ).
thf(f11254,plain,
( spl0_316
| spl0_324
| ~ spl0_103
| ~ spl0_258
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f11248,f9853,f8374,f3813,f11141,f10998]) ).
thf(f11280,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_324 ),
inference(constrained_superposition,[],[f71,f11142]) ).
thf(f11285,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_4
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f11280]) ).
thf(f11286,plain,
( spl0_325
| ~ spl0_4
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f11285,f11141,f70,f11155]) ).
thf(f11289,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_52
| ~ spl0_326 ),
inference(constrained_superposition,[],[f2284,f11159]) ).
thf(f11302,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_52
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f11289]) ).
thf(f11306,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_52
| ~ spl0_326 ),
inference(constrained_superposition,[],[f11302,f28]) ).
thf(f11307,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_52
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f11306]) ).
thf(f11342,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_105
| ~ spl0_188 ),
inference(constrained_superposition,[],[f3821,f6734]) ).
thf(f11349,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_105
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f11342]) ).
thf(f11362,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_212
| ~ spl0_293 ),
inference(constrained_superposition,[],[f6746,f9850]) ).
thf(f11365,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_212
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f11362]) ).
thf(f11368,plain,
( $false
| ~ spl0_82
| ~ spl0_212
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f11365,f3175]) ).
thf(f11369,plain,
( ~ spl0_82
| ~ spl0_212
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f11368]) ).
thf(f11370,plain,
( spl0_254
| spl0_284 ),
inference(avatar_split_clause,[],[f10795,f9580,f8297]) ).
thf(f11373,definition,
( spl0_331
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).
thf(f11374,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f11373]) ).
thf(f11376,plain,
( spl0_74
| ~ spl0_4
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f10571,f3107,f70,f3076]) ).
thf(f11381,plain,
( spl0_183
| ~ spl0_105
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f11349,f6030,f3820,f6006]) ).
thf(f11384,plain,
( ( $true != $true )
| ~ spl0_60
| ~ spl0_72 ),
inference(constrained_superposition,[],[f2423,f3061]) ).
thf(f11389,plain,
( $false
| ~ spl0_60
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f11384]) ).
thf(f11390,plain,
( ~ spl0_60
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f11389]) ).
thf(f11399,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_86 ),
inference(constrained_superposition,[],[f46,f3467]) ).
thf(f11405,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f11399]) ).
thf(f11413,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_64
| spl0_90 ),
inference(constrained_superposition,[],[f8191,f2764]) ).
thf(f11419,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_64
| spl0_90 ),
inference(trivial_inequality_removal,[],[f11413]) ).
thf(f11462,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_87
| ~ spl0_200 ),
inference(constrained_superposition,[],[f3470,f6415]) ).
thf(f11463,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_77
| ~ spl0_200 ),
inference(constrained_superposition,[],[f4283,f6415]) ).
thf(f11471,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_87
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f11462]) ).
thf(f11473,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_77
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f11463]) ).
thf(f11478,plain,
( $false
| ~ spl0_87
| ~ spl0_179
| ~ spl0_200 ),
inference(forward_subsumption_resolution,[],[f11471,f8777]) ).
thf(f11479,plain,
( ~ spl0_87
| ~ spl0_179
| ~ spl0_200 ),
inference(avatar_contradiction_clause,[],[f11478]) ).
thf(f11480,plain,
( spl0_214
| spl0_177
| ~ spl0_77
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f11473,f6414,f3107,f5934,f6798]) ).
thf(f11516,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_170 ),
inference(constrained_superposition,[],[f3558,f5864]) ).
thf(f11530,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f11516]) ).
thf(f11572,definition,
( spl0_332
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_332])],[avatar_definition]) ).
thf(f11573,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f11572]) ).
thf(f11575,definition,
( spl0_333
<=> ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_333])],[avatar_definition]) ).
thf(f11576,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_333 ),
inference(avatar_component_clause,[],[f11575]) ).
thf(f11621,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_52
| ~ spl0_326 ),
inference(forward_subsumption_resolution,[],[f11307,f32]) ).
thf(f11623,plain,
( spl0_324
| ~ spl0_52
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f11621,f11158,f2283,f11141]) ).
thf(f11669,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_194
| ~ spl0_295 ),
inference(constrained_superposition,[],[f6186,f9857]) ).
thf(f11679,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_194
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f11669]) ).
thf(f11689,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_194
| ~ spl0_295 ),
inference(constrained_superposition,[],[f11679,f28]) ).
thf(f11690,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_194
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f11689]) ).
thf(f11691,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_194
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f11690,f32]) ).
thf(f11692,plain,
( spl0_324
| ~ spl0_194
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f11691,f9856,f6185,f11141]) ).
thf(f11757,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_291
| ~ spl0_321 ),
inference(constrained_superposition,[],[f11131,f9843]) ).
thf(f11759,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_291
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f11757]) ).
thf(f11761,plain,
( $false
| ~ spl0_178
| ~ spl0_291
| ~ spl0_321 ),
inference(forward_subsumption_resolution,[],[f11759,f5940]) ).
thf(f11762,plain,
( ~ spl0_178
| ~ spl0_291
| ~ spl0_321 ),
inference(avatar_contradiction_clause,[],[f11761]) ).
thf(f11817,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_179 ),
inference(constrained_superposition,[],[f161,f8777]) ).
thf(f11825,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_11
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f11817]) ).
thf(f11832,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_179
| ~ spl0_200 ),
inference(constrained_superposition,[],[f11825,f6415]) ).
thf(f11833,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_179
| ~ spl0_290 ),
inference(constrained_superposition,[],[f11825,f9840]) ).
thf(f11844,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_179
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f11833]) ).
thf(f11847,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_179
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f11832]) ).
thf(f11853,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_179
| ~ spl0_290 ),
inference(constrained_superposition,[],[f11844,f79]) ).
thf(f11859,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_179
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f11853]) ).
thf(f11865,plain,
( spl0_326
| ~ spl0_11
| ~ spl0_179
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f11859,f9839,f5944,f160,f11158]) ).
thf(f11908,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_296 ),
inference(constrained_superposition,[],[f3558,f9870]) ).
thf(f11919,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_296 ),
inference(trivial_inequality_removal,[],[f11908]) ).
thf(f11927,definition,
( spl0_338
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_338])],[avatar_definition]) ).
thf(f11928,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_338 ),
inference(avatar_component_clause,[],[f11927]) ).
thf(f11929,plain,
( spl0_219
| ~ spl0_338
| ~ spl0_296 ),
inference(avatar_split_clause,[],[f11919,f9869,f11927,f6905]) ).
thf(f11937,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_207
| ~ spl0_297 ),
inference(constrained_superposition,[],[f6695,f9873]) ).
thf(f11947,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_207
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f11937]) ).
thf(f11952,plain,
( $false
| ~ spl0_207
| ~ spl0_297
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f11947,f11142]) ).
thf(f11953,plain,
( ~ spl0_207
| ~ spl0_297
| ~ spl0_324 ),
inference(avatar_contradiction_clause,[],[f11952]) ).
thf(f11955,definition,
( spl0_340
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_340])],[avatar_definition]) ).
thf(f11956,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_340 ),
inference(avatar_component_clause,[],[f11955]) ).
thf(f11964,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_338 ),
inference(constrained_superposition,[],[f11928,f2620]) ).
thf(f11967,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_338 ),
inference(trivial_inequality_removal,[],[f11964]) ).
thf(f11972,plain,
( spl0_331
| spl0_338 ),
inference(avatar_split_clause,[],[f11967,f11927,f11373]) ).
thf(f11973,plain,
( ~ spl0_16
| spl0_254
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f10912,f6694,f8297,f237]) ).
thf(f11975,plain,
( ~ spl0_78
| ~ spl0_11
| ~ spl0_179
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f11847,f6414,f5944,f160,f3111]) ).
thf(f11991,plain,
( ~ spl0_216
| spl0_200
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f11530,f5863,f6414,f6880]) ).
thf(f12116,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f2284,f28]) ).
thf(f12121,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f12116]) ).
thf(f12142,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_246 ),
inference(constrained_superposition,[],[f3326,f8794]) ).
thf(f12152,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_84
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f12142]) ).
thf(f12183,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_216 ),
inference(constrained_superposition,[],[f6881,f2620]) ).
thf(f12186,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_216 ),
inference(trivial_inequality_removal,[],[f12183]) ).
thf(f12188,plain,
( spl0_219
| spl0_216 ),
inference(avatar_split_clause,[],[f12186,f6880,f6905]) ).
thf(f12211,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_94
| ~ spl0_292 ),
inference(constrained_superposition,[],[f3731,f9847]) ).
thf(f12222,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_94
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f12211]) ).
thf(f12231,plain,
( ~ spl0_284
| ~ spl0_94
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f12222,f9846,f3730,f9580]) ).
thf(f12275,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_172
| ~ spl0_213 ),
inference(constrained_superposition,[],[f6793,f5871]) ).
thf(f12285,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_172
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f12275]) ).
thf(f12296,plain,
( ~ spl0_284
| ~ spl0_172
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f12285,f6792,f5870,f9580]) ).
thf(f12319,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_291 ),
inference(constrained_superposition,[],[f3558,f9843]) ).
thf(f12332,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f12319]) ).
thf(f12335,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_246
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f12332,f8794]) ).
thf(f12336,plain,
( spl0_331
| ~ spl0_246
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f12335,f9842,f7845,f11373]) ).
thf(f12349,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_199
| ~ spl0_294 ),
inference(constrained_superposition,[],[f6382,f9854]) ).
thf(f12358,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_199
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f12349]) ).
thf(f12366,plain,
( $false
| ~ spl0_199
| ~ spl0_294
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f12358,f11142]) ).
thf(f12367,plain,
( ~ spl0_199
| ~ spl0_294
| ~ spl0_324 ),
inference(avatar_contradiction_clause,[],[f12366]) ).
thf(f12373,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f3558,f9857]) ).
thf(f12382,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f12373]) ).
thf(f12387,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_200
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f12382,f9317]) ).
thf(f12390,plain,
( ~ spl0_338
| spl0_200
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f12387,f9856,f6414,f11927]) ).
thf(f12398,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_74
| ~ spl0_331 ),
inference(constrained_superposition,[],[f3077,f11374]) ).
thf(f12403,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_74
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f12398]) ).
thf(f12410,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_331 ),
inference(constrained_superposition,[],[f12403,f36]) ).
thf(f12413,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_74
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f12410]) ).
thf(f12416,plain,
( spl0_312
| ~ spl0_74
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f12413,f11373,f3076,f10974]) ).
thf(f12492,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_331
| ~ spl0_333 ),
inference(constrained_superposition,[],[f11576,f11374]) ).
thf(f12507,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_331
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f12492]) ).
thf(f12510,plain,
( $false
| ~ spl0_72
| ~ spl0_331
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f12507,f3061]) ).
thf(f12511,plain,
( ~ spl0_72
| ~ spl0_331
| ~ spl0_333 ),
inference(avatar_contradiction_clause,[],[f12510]) ).
thf(f12514,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_11
| ~ spl0_179 ),
inference(constrained_superposition,[],[f161,f8777]) ).
thf(f12525,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_11
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f12514]) ).
thf(f12532,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_179 ),
inference(constrained_superposition,[],[f12525,f36]) ).
thf(f12546,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_11
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f12532]) ).
thf(f12570,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_52
| ~ spl0_312 ),
inference(constrained_superposition,[],[f12121,f10975]) ).
thf(f12573,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_52
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f12570]) ).
thf(f12575,definition,
( spl0_342
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_342])],[avatar_definition]) ).
thf(f12577,plain,
( spl0_342
| spl0_316
| ~ spl0_52
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f12573,f10974,f2283,f10998,f12575]) ).
thf(f12626,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_209
| ~ spl0_296 ),
inference(constrained_superposition,[],[f6733,f9870]) ).
thf(f12637,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_209
| ~ spl0_296 ),
inference(trivial_inequality_removal,[],[f12626]) ).
thf(f12644,plain,
( $false
| ~ spl0_209
| ~ spl0_296
| ~ spl0_312 ),
inference(forward_subsumption_resolution,[],[f12637,f10975]) ).
thf(f12645,plain,
( ~ spl0_209
| ~ spl0_296
| ~ spl0_312 ),
inference(avatar_contradiction_clause,[],[f12644]) ).
thf(f12679,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_298
| ~ spl0_321 ),
inference(constrained_superposition,[],[f11131,f9877]) ).
thf(f12693,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_298
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f12679]) ).
thf(f12697,plain,
( $false
| ~ spl0_208
| ~ spl0_298
| ~ spl0_321 ),
inference(forward_subsumption_resolution,[],[f12693,f6698]) ).
thf(f12698,plain,
( ~ spl0_208
| ~ spl0_298
| ~ spl0_321 ),
inference(avatar_contradiction_clause,[],[f12697]) ).
thf(f12699,plain,
( ~ spl0_13
| spl0_178
| ~ spl0_11
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f12546,f5944,f160,f5939,f194]) ).
thf(f12704,plain,
( ~ spl0_176
| ~ spl0_84
| ~ spl0_246 ),
inference(avatar_split_clause,[],[f12152,f7845,f3325,f5931]) ).
thf(f12705,plain,
( ~ spl0_20
| spl0_72
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f10534,f3325,f3060,f289]) ).
thf(f12706,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_64
| spl0_90 ),
inference(forward_subsumption_resolution,[],[f11419,f32]) ).
thf(f12708,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_64
| spl0_79
| spl0_90 ),
inference(forward_subsumption_resolution,[],[f12706,f5784]) ).
thf(f12710,plain,
( spl0_72
| ~ spl0_64
| spl0_79
| spl0_90 ),
inference(avatar_split_clause,[],[f12708,f3617,f3114,f2763,f3060]) ).
thf(f12711,plain,
( ~ spl0_104
| spl0_72
| ~ spl0_1
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f11405,f3466,f45,f3060,f3817]) ).
thf(f12716,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_11
| ~ spl0_13 ),
inference(constrained_superposition,[],[f161,f195]) ).
thf(f12719,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f29,f195]) ).
thf(f12720,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f12719]) ).
thf(f12723,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f12716]) ).
thf(f12725,plain,
( spl0_106
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f12723,f194,f160,f3824]) ).
thf(f12788,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f131,f80]) ).
thf(f12795,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f12788]) ).
thf(f12802,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_106
| ~ spl0_179 ),
inference(constrained_superposition,[],[f3825,f8777]) ).
thf(f12811,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_106
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f12802]) ).
thf(f12818,plain,
( ~ spl0_186
| ~ spl0_106
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f12811,f5944,f3824,f6018]) ).
thf(f12841,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_183 ),
inference(constrained_superposition,[],[f2284,f6007]) ).
thf(f12846,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f27,f6007]) ).
thf(f12849,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f12846]) ).
thf(f12850,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_52
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f12841]) ).
thf(f12855,plain,
( spl0_211
| spl0_212
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f12849,f6006,f6745,f6742]) ).
thf(f12856,plain,
( $false
| ~ spl0_52
| ~ spl0_183
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f12850,f6698]) ).
thf(f12857,plain,
( ~ spl0_52
| ~ spl0_183
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f12856]) ).
thf(f12908,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_214 ),
inference(constrained_superposition,[],[f6799,f79]) ).
thf(f12923,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f12908]) ).
thf(f12927,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_13
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f12923,f195]) ).
thf(f12929,plain,
( spl0_176
| ~ spl0_13
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f12927,f6798,f194,f5931]) ).
thf(f13074,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_169
| ~ spl0_177 ),
inference(constrained_superposition,[],[f5935,f5861]) ).
thf(f13081,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_169
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f13074]) ).
thf(f13088,plain,
( $false
| ~ spl0_169
| ~ spl0_177
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f13081,f6906]) ).
thf(f13089,plain,
( ~ spl0_169
| ~ spl0_177
| ~ spl0_219 ),
inference(avatar_contradiction_clause,[],[f13088]) ).
thf(f13090,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_169
| ~ spl0_177 ),
inference(constrained_superposition,[],[f13081,f81]) ).
thf(f13095,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_169
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f13090]) ).
thf(f13098,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_169
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[],[f13095,f32]) ).
thf(f13107,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_84
| ~ spl0_169
| ~ spl0_177 ),
inference(constrained_superposition,[],[f3326,f13098]) ).
thf(f13108,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_169
| ~ spl0_177 ),
inference(constrained_superposition,[],[f46,f13098]) ).
thf(f13115,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_169
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f13108]) ).
thf(f13116,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_84
| ~ spl0_169
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f13107]) ).
thf(f13122,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_169
| ~ spl0_177
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f13115,f6698]) ).
thf(f13123,plain,
( $false
| ~ spl0_84
| ~ spl0_169
| ~ spl0_177
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f13116,f6007]) ).
thf(f13124,plain,
( ~ spl0_84
| ~ spl0_169
| ~ spl0_177
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[],[f13123]) ).
thf(f13128,plain,
( spl0_72
| ~ spl0_1
| ~ spl0_169
| ~ spl0_177
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f13122,f6697,f5934,f5860,f45,f3060]) ).
thf(f13290,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_114
| ~ spl0_219 ),
inference(constrained_superposition,[],[f4017,f6906]) ).
thf(f13295,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_114
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f13290]) ).
thf(f13324,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_247
| ~ spl0_297 ),
inference(constrained_superposition,[],[f7889,f9873]) ).
thf(f13337,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_247
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f13324]) ).
thf(f13338,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_247
| ~ spl0_297 ),
inference(constrained_superposition,[],[f13337,f81]) ).
thf(f13344,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_247
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f13338]) ).
thf(f13346,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_338 ),
inference(avatar_component_clause,[],[f11927]) ).
thf(f13348,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_247
| ~ spl0_297 ),
inference(forward_subsumption_resolution,[],[f13344,f32]) ).
thf(f13353,plain,
( spl0_338
| ~ spl0_247
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f13348,f9872,f7888,f11927]) ).
thf(f13357,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_84
| ~ spl0_338 ),
inference(constrained_superposition,[],[f3326,f13346]) ).
thf(f13365,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_84
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f13357]) ).
thf(f13372,plain,
( $false
| ~ spl0_84
| ~ spl0_326
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f13365,f11159]) ).
thf(f13373,plain,
( ~ spl0_84
| ~ spl0_326
| ~ spl0_338 ),
inference(avatar_contradiction_clause,[],[f13372]) ).
thf(f13385,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_324 ),
inference(avatar_component_clause,[],[f11141]) ).
thf(f13389,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_73
| ~ spl0_114
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f13295,f5806]) ).
thf(f13392,plain,
( ~ spl0_188
| spl0_73
| ~ spl0_114
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f13389,f6905,f4016,f3073,f6030]) ).
thf(f13400,plain,
( ( $true != $true )
| ~ spl0_183
| ~ spl0_211 ),
inference(constrained_superposition,[],[f6743,f6007]) ).
thf(f13402,plain,
( $false
| ~ spl0_183
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f13400]) ).
thf(f13403,plain,
( ~ spl0_183
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[],[f13402]) ).
thf(f13413,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_8
| ~ spl0_186 ),
inference(constrained_superposition,[],[f12795,f6211]) ).
thf(f13414,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_186
| ~ spl0_258 ),
inference(constrained_superposition,[],[f8375,f6211]) ).
thf(f13422,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_8
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f13413]) ).
thf(f13423,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_186
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f13414]) ).
thf(f13426,plain,
( spl0_227
| ~ spl0_8
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f13422,f6018,f130,f7353]) ).
thf(f13427,plain,
( $false
| ~ spl0_13
| ~ spl0_186
| ~ spl0_258 ),
inference(forward_subsumption_resolution,[],[f13423,f195]) ).
thf(f13428,plain,
( ~ spl0_13
| ~ spl0_186
| ~ spl0_258 ),
inference(avatar_contradiction_clause,[],[f13427]) ).
thf(f13492,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f27,f5932]) ).
thf(f13493,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f13492]) ).
thf(f13500,plain,
( spl0_192
| spl0_191
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f13493,f5931,f6173,f6176]) ).
thf(f13538,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_176 ),
inference(constrained_superposition,[],[f2284,f5932]) ).
thf(f13540,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_52
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f13538]) ).
thf(f13547,plain,
( ~ spl0_178
| ~ spl0_52
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f13540,f5931,f2283,f5939]) ).
thf(f13594,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_24
| ~ spl0_179 ),
inference(constrained_superposition,[],[f555,f8777]) ).
thf(f13595,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_24
| ~ spl0_78 ),
inference(constrained_superposition,[],[f555,f3112]) ).
thf(f13599,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_24
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f13594]) ).
thf(f13600,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_24
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f13595]) ).
thf(f13606,plain,
( $false
| ~ spl0_24
| ~ spl0_179
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f13599,f6189]) ).
thf(f13607,plain,
( ~ spl0_24
| ~ spl0_179
| ~ spl0_195 ),
inference(avatar_contradiction_clause,[],[f13606]) ).
thf(f13608,plain,
( $false
| ~ spl0_24
| ~ spl0_77
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f13600,f3108]) ).
thf(f13609,plain,
( ~ spl0_24
| ~ spl0_77
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f13608]) ).
thf(f13610,plain,
( spl0_192
| spl0_191
| spl0_179
| spl0_187 ),
inference(avatar_split_clause,[],[f9829,f6027,f5944,f6173,f6176]) ).
thf(f13666,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f90,f5854]) ).
thf(f13667,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f65,f5854]) ).
thf(f13668,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f29,f5854]) ).
thf(f13669,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f13668]) ).
thf(f13670,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f13667]) ).
thf(f13671,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f13666]) ).
thf(f13704,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f90,f6415]) ).
thf(f13705,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f65,f6415]) ).
thf(f13707,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f13705]) ).
thf(f13709,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f13704]) ).
thf(f13732,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_324 ),
inference(constrained_superposition,[],[f13385,f36]) ).
thf(f13737,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_324 ),
inference(trivial_inequality_removal,[],[f13732]) ).
thf(f13739,plain,
( spl0_312
| spl0_324 ),
inference(avatar_split_clause,[],[f13737,f11141,f10974]) ).
thf(f13741,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_312 ),
inference(constrained_superposition,[],[f2359,f10975]) ).
thf(f13746,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_312 ),
inference(constrained_superposition,[],[f27,f10975]) ).
thf(f13751,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f13746]) ).
thf(f13752,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f13741]) ).
thf(f13755,plain,
( spl0_322
| spl0_321
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f13751,f10974,f11130,f11133]) ).
thf(f13756,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_312
| spl0_324 ),
inference(forward_subsumption_resolution,[],[f13752,f13385]) ).
thf(f13757,plain,
( spl0_321
| ~ spl0_312
| spl0_324 ),
inference(avatar_split_clause,[],[f13756,f11141,f10974,f11130]) ).
thf(f13847,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f90,f5871]) ).
thf(f13854,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f13847]) ).
thf(f13862,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_331 ),
inference(constrained_superposition,[],[f65,f11374]) ).
thf(f13866,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f13862]) ).
thf(f13890,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f6177,f35]) ).
thf(f13892,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f13890]) ).
thf(f13972,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_297 ),
inference(constrained_superposition,[],[f90,f9873]) ).
thf(f13977,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f13972]) ).
thf(f14003,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_300 ),
inference(constrained_superposition,[],[f9963,f35]) ).
thf(f14006,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f14003]) ).
thf(f14010,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_189
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f14006,f9583]) ).
thf(f14011,plain,
( ~ spl0_88
| spl0_189
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f14010,f9962,f6035,f3574]) ).
thf(f14014,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_297
| ~ spl0_329 ),
inference(constrained_superposition,[],[f11233,f9873]) ).
thf(f14023,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_297
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f14014]) ).
thf(f14030,plain,
( ~ spl0_284
| ~ spl0_297
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f14023,f11232,f9872,f9580]) ).
thf(f14042,plain,
( ( $true != $true )
| ~ spl0_322
| ~ spl0_326 ),
inference(constrained_superposition,[],[f11134,f11159]) ).
thf(f14043,plain,
( ( $true != $true )
| ~ spl0_312
| ~ spl0_322 ),
inference(constrained_superposition,[],[f11134,f10975]) ).
thf(f14047,plain,
( $false
| ~ spl0_312
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f14043]) ).
thf(f14048,plain,
( ~ spl0_312
| ~ spl0_322 ),
inference(avatar_contradiction_clause,[],[f14047]) ).
thf(f14049,plain,
( $false
| ~ spl0_322
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f14042]) ).
thf(f14050,plain,
( ~ spl0_322
| ~ spl0_326 ),
inference(avatar_contradiction_clause,[],[f14049]) ).
thf(f14074,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_299
| ~ spl0_332 ),
inference(constrained_superposition,[],[f11573,f9880]) ).
thf(f14084,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_299
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f14074]) ).
thf(f14088,plain,
( $false
| ~ spl0_219
| ~ spl0_299
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f14084,f6906]) ).
thf(f14089,plain,
( ~ spl0_219
| ~ spl0_299
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f14088]) ).
thf(f14228,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_290
| ~ spl0_340 ),
inference(constrained_superposition,[],[f11956,f9840]) ).
thf(f14234,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_290
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f14228]) ).
thf(f14239,plain,
( $false
| ~ spl0_172
| ~ spl0_290
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f14234,f5871]) ).
thf(f14240,plain,
( ~ spl0_172
| ~ spl0_290
| ~ spl0_340 ),
inference(avatar_contradiction_clause,[],[f14239]) ).
thf(f14251,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_55
| ~ spl0_297 ),
inference(constrained_superposition,[],[f2333,f9873]) ).
thf(f14270,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_55
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f14251]) ).
thf(f14317,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_13
| ~ spl0_16 ),
inference(constrained_superposition,[],[f12720,f3869]) ).
thf(f14318,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f12720,f36]) ).
thf(f14322,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f14318]) ).
thf(f14323,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f14322]) ).
thf(f14326,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_13
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f14317]) ).
thf(f14327,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_13
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f14326]) ).
thf(f14332,plain,
( spl0_4
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f14327,f237,f194,f70]) ).
thf(f14348,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_71
| ~ spl0_208 ),
inference(constrained_superposition,[],[f3058,f6698]) ).
thf(f14362,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_71
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f14348]) ).
thf(f14394,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_114
| ~ spl0_167 ),
inference(constrained_superposition,[],[f4017,f5854]) ).
thf(f14396,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_114
| ~ spl0_200 ),
inference(constrained_superposition,[],[f4017,f6415]) ).
thf(f14398,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_114
| ~ spl0_331 ),
inference(constrained_superposition,[],[f4017,f11374]) ).
thf(f14405,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f4017,f80]) ).
thf(f14416,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_114
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f14394]) ).
thf(f14420,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_114
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f14396]) ).
thf(f14421,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_114
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f14398]) ).
thf(f14422,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f14405]) ).
thf(f14429,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_16
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f14422,f3869]) ).
thf(f14430,plain,
( spl0_107
| ~ spl0_16
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f14429,f4016,f237,f3828]) ).
thf(f14532,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_167
| ~ spl0_200 ),
inference(constrained_superposition,[],[f13669,f6415]) ).
thf(f14549,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_167
| ~ spl0_200 ),
inference(duplicate_literal_removal,[],[f14532]) ).
thf(f14550,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_167
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f14549]) ).
thf(f14553,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_167
| ~ spl0_200 ),
inference(constrained_superposition,[],[f14550,f6415]) ).
thf(f14564,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_167
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f14553]) ).
thf(f14568,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_167
| ~ spl0_172
| ~ spl0_200 ),
inference(constrained_superposition,[],[f14564,f5871]) ).
thf(f14569,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_167
| ~ spl0_200
| ~ spl0_290 ),
inference(constrained_superposition,[],[f14564,f9840]) ).
thf(f14570,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_167
| ~ spl0_200 ),
inference(constrained_superposition,[],[f14564,f79]) ).
thf(f14572,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_167
| ~ spl0_200 ),
inference(constrained_superposition,[],[f14564,f36]) ).
thf(f14576,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_167
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f14572]) ).
thf(f14578,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_167
| ~ spl0_172
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f14568]) ).
thf(f14579,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_167
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f14570]) ).
thf(f14581,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_167
| ~ spl0_200
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f14569]) ).
thf(f14585,plain,
( $false
| ~ spl0_167
| ~ spl0_172
| ~ spl0_200
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f14578,f6906]) ).
thf(f14586,plain,
( ~ spl0_167
| ~ spl0_172
| ~ spl0_200
| ~ spl0_219 ),
inference(avatar_contradiction_clause,[],[f14585]) ).
thf(f14587,plain,
( $false
| ~ spl0_167
| ~ spl0_200
| ~ spl0_290
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f14581,f11374]) ).
thf(f14588,plain,
( ~ spl0_167
| ~ spl0_200
| ~ spl0_290
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f14587]) ).
thf(f14589,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_342 ),
inference(avatar_component_clause,[],[f12575]) ).
thf(f14590,plain,
( ~ spl0_342
| spl0_183
| ~ spl0_55
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f14270,f9872,f2332,f6006,f12575]) ).
thf(f14591,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_72 ),
inference(avatar_component_clause,[],[f3060]) ).
thf(f14592,plain,
( ~ spl0_72
| spl0_178
| ~ spl0_167
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f14576,f6414,f5853,f5939,f3060]) ).
thf(f14596,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| spl0_186
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f13892,f6019]) ).
thf(f14598,plain,
( spl0_219
| ~ spl0_71
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f14362,f6697,f3057,f6905]) ).
thf(f14599,plain,
( spl0_177
| spl0_73
| spl0_214
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f13707,f6414,f6798,f3073,f5934]) ).
thf(f14602,plain,
( spl0_181
| spl0_213
| spl0_183
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f13854,f5870,f6006,f6792,f5997]) ).
thf(f14604,plain,
( spl0_177
| spl0_213
| spl0_82
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f13709,f6414,f3174,f6792,f5934]) ).
thf(f14606,plain,
( ~ spl0_324
| spl0_73
| ~ spl0_114
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f14421,f11373,f4016,f3073,f11141]) ).
thf(f14607,plain,
( spl0_73
| spl0_333
| spl0_332
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f13866,f11373,f11572,f11575,f3073]) ).
thf(f14609,plain,
( spl0_183
| spl0_329
| spl0_340
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f13977,f9872,f11955,f11232,f6006]) ).
thf(f14611,plain,
( ~ spl0_195
| spl0_73
| ~ spl0_114
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f14420,f6414,f4016,f3073,f6188]) ).
thf(f14614,plain,
( ~ spl0_77
| spl0_178
| ~ spl0_114
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f14416,f5853,f4016,f5939,f3107]) ).
thf(f14615,plain,
( ~ spl0_20
| spl0_186
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f14596,f6176,f6018,f289]) ).
thf(f14623,plain,
( ( $true != $true )
| ~ spl0_67
| spl0_186 ),
inference(constrained_superposition,[],[f6019,f2776]) ).
thf(f14625,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_55
| ~ spl0_67 ),
inference(constrained_superposition,[],[f2333,f2776]) ).
thf(f14637,plain,
( $false
| ~ spl0_67
| spl0_186 ),
inference(trivial_inequality_removal,[],[f14623]) ).
thf(f14638,plain,
( ~ spl0_67
| spl0_186 ),
inference(avatar_contradiction_clause,[],[f14637]) ).
thf(f14640,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_55
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f14625]) ).
thf(f14655,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ~ spl0_55
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f14640,f2776]) ).
thf(f14658,plain,
( spl0_5
| ~ spl0_55
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f14655,f2775,f2332,f92]) ).
thf(f14663,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f2359,f3074]) ).
thf(f14667,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f27,f3074]) ).
thf(f14671,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f14667]) ).
thf(f14672,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f14663]) ).
thf(f14675,plain,
( spl0_75
| spl0_76
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f14671,f3073,f3103,f3100]) ).
thf(f14676,plain,
( spl0_76
| spl0_77
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f14672,f3073,f3107,f3103]) ).
thf(f14704,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_78
| ~ spl0_98 ),
inference(constrained_superposition,[],[f3754,f3112]) ).
thf(f14716,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_78
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f14704]) ).
thf(f14721,plain,
( $false
| ~ spl0_13
| ~ spl0_78
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f14716,f195]) ).
thf(f14722,plain,
( ~ spl0_13
| ~ spl0_78
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f14721]) ).
thf(f14808,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_244 ),
inference(constrained_superposition,[],[f142,f9045]) ).
thf(f14811,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_106
| ~ spl0_244 ),
inference(constrained_superposition,[],[f3825,f9045]) ).
thf(f14817,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_244 ),
inference(duplicate_literal_removal,[],[f14808]) ).
thf(f14818,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f14817]) ).
thf(f14821,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_106
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f14811]) ).
thf(f14824,plain,
( spl0_11
| spl0_254
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f14818,f7806,f8297,f160]) ).
thf(f14832,plain,
( ~ spl0_189
| ~ spl0_106
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f14821,f7806,f3824,f6035]) ).
thf(f14837,plain,
( ( $true != $true )
| ~ spl0_176
| ~ spl0_191 ),
inference(constrained_superposition,[],[f6174,f5932]) ).
thf(f14838,plain,
( ( $true != $true )
| ~ spl0_5
| ~ spl0_191 ),
inference(constrained_superposition,[],[f6174,f93]) ).
thf(f14841,plain,
( $false
| ~ spl0_5
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f14838]) ).
thf(f14842,plain,
( ~ spl0_5
| ~ spl0_191 ),
inference(avatar_contradiction_clause,[],[f14841]) ).
thf(f14843,plain,
( $false
| ~ spl0_176
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f14837]) ).
thf(f14844,plain,
( ~ spl0_176
| ~ spl0_191 ),
inference(avatar_contradiction_clause,[],[f14843]) ).
thf(f14874,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_254 ),
inference(constrained_superposition,[],[f3558,f8298]) ).
thf(f14879,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_254 ),
inference(constrained_superposition,[],[f27,f8298]) ).
thf(f14881,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f14874]) ).
thf(f14883,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f14879]) ).
thf(f14889,plain,
( spl0_17
| spl0_212
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f14883,f8297,f6745,f249]) ).
thf(f14899,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_105
| ~ spl0_324 ),
inference(constrained_superposition,[],[f3821,f11142]) ).
thf(f14904,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_105
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f14899]) ).
thf(f14919,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f90,f9847]) ).
thf(f14925,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f14919]) ).
thf(f14992,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_65
| spl0_72 ),
inference(constrained_superposition,[],[f14591,f2767]) ).
thf(f15019,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_65
| spl0_72 ),
inference(trivial_inequality_removal,[],[f14992]) ).
thf(f15024,plain,
( $false
| ~ spl0_65
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f15019,f32]) ).
thf(f15025,plain,
( ~ spl0_65
| spl0_72 ),
inference(avatar_contradiction_clause,[],[f15024]) ).
thf(f15050,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_342 ),
inference(constrained_superposition,[],[f14589,f79]) ).
thf(f15057,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_342 ),
inference(trivial_inequality_removal,[],[f15050]) ).
thf(f15110,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_170
| ~ spl0_192 ),
inference(constrained_superposition,[],[f6177,f5864]) ).
thf(f15112,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_135
| ~ spl0_170 ),
inference(constrained_superposition,[],[f4665,f5864]) ).
thf(f15117,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_170
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f15110]) ).
thf(f15121,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_135
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f15112]) ).
thf(f15126,plain,
( $false
| ~ spl0_5
| ~ spl0_170
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f15117,f93]) ).
thf(f15127,plain,
( ~ spl0_5
| ~ spl0_170
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f15126]) ).
thf(f15133,plain,
( spl0_326
| spl0_342 ),
inference(avatar_split_clause,[],[f15057,f12575,f11158]) ).
thf(f15136,plain,
( spl0_326
| ~ spl0_105
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f14904,f11141,f3820,f11158]) ).
thf(f15137,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_135
| ~ spl0_170
| spl0_178 ),
inference(forward_subsumption_resolution,[],[f15121,f6924]) ).
thf(f15150,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_135
| ~ spl0_170
| spl0_178 ),
inference(constrained_superposition,[],[f15137,f28]) ).
thf(f15151,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_135
| ~ spl0_170
| spl0_178 ),
inference(trivial_inequality_removal,[],[f15150]) ).
thf(f15187,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_171
| ~ spl0_209 ),
inference(constrained_superposition,[],[f6733,f5868]) ).
thf(f15202,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_171
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f15187]) ).
thf(f15212,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_195
| ~ spl0_213 ),
inference(constrained_superposition,[],[f6793,f6189]) ).
thf(f15213,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f6793,f36]) ).
thf(f15220,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_195
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f15212]) ).
thf(f15222,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f15213]) ).
thf(f15225,plain,
( $false
| ~ spl0_16
| ~ spl0_195
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f15220,f3869]) ).
thf(f15226,plain,
( ~ spl0_16
| ~ spl0_195
| ~ spl0_213 ),
inference(avatar_contradiction_clause,[],[f15225]) ).
thf(f15227,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_16
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f15222,f3869]) ).
thf(f15228,plain,
( $false
| ~ spl0_16
| spl0_178
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f15227,f6924]) ).
thf(f15229,plain,
( ~ spl0_16
| spl0_178
| ~ spl0_213 ),
inference(avatar_contradiction_clause,[],[f15228]) ).
thf(f15232,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_291
| ~ spl0_327 ),
inference(constrained_superposition,[],[f11205,f9843]) ).
thf(f15235,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_135
| ~ spl0_291 ),
inference(constrained_superposition,[],[f4665,f9843]) ).
thf(f15241,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_135
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f15235]) ).
thf(f15242,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_291
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f15232]) ).
thf(f15251,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_135
| ~ spl0_176
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f15241,f5932]) ).
thf(f15252,plain,
( $false
| ~ spl0_176
| ~ spl0_291
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f15242,f5932]) ).
thf(f15253,plain,
( ~ spl0_176
| ~ spl0_291
| ~ spl0_327 ),
inference(avatar_contradiction_clause,[],[f15252]) ).
thf(f15255,plain,
( spl0_312
| ~ spl0_135
| ~ spl0_176
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f15251,f9842,f5931,f4664,f10974]) ).
thf(f15256,plain,
( spl0_244
| spl0_184
| ~ spl0_135
| ~ spl0_170
| spl0_178 ),
inference(avatar_split_clause,[],[f15151,f5939,f5863,f4664,f6011,f7806]) ).
thf(f15262,plain,
( spl0_177
| spl0_178
| spl0_98
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f13670,f5853,f3753,f5939,f5934]) ).
thf(f15263,plain,
( ~ spl0_178
| ~ spl0_171
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f15202,f6732,f5867,f5939]) ).
thf(f15271,plain,
( ( $true != $true )
| ~ spl0_17
| ~ spl0_227 ),
inference(constrained_superposition,[],[f250,f7354]) ).
thf(f15272,plain,
( ( $true != $true )
| ~ spl0_17
| ~ spl0_254 ),
inference(constrained_superposition,[],[f250,f8298]) ).
thf(f15275,plain,
( $false
| ~ spl0_17
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f15272]) ).
thf(f15276,plain,
( ~ spl0_17
| ~ spl0_254 ),
inference(avatar_contradiction_clause,[],[f15275]) ).
thf(f15277,plain,
( $false
| ~ spl0_17
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f15271]) ).
thf(f15278,plain,
( ~ spl0_17
| ~ spl0_227 ),
inference(avatar_contradiction_clause,[],[f15277]) ).
thf(f15279,plain,
( spl0_219
| ~ spl0_86
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f14881,f8297,f3466,f6905]) ).
thf(f15284,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_90 ),
inference(constrained_superposition,[],[f90,f3618]) ).
thf(f15290,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_90 ),
inference(duplicate_literal_removal,[],[f15284]) ).
thf(f15291,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f15290]) ).
thf(f15303,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f2359,f5940]) ).
thf(f15308,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f15303]) ).
thf(f15315,plain,
( spl0_194
| spl0_195
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f15308,f5939,f6188,f6185]) ).
thf(f15340,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_183 ),
inference(constrained_superposition,[],[f10533,f6007]) ).
thf(f15353,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_84
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f15340]) ).
thf(f15356,plain,
( spl0_219
| ~ spl0_84
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f15353,f6006,f3325,f6905]) ).
thf(f15360,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f142,f3112]) ).
thf(f15365,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f65,f3112]) ).
thf(f15368,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_78 ),
inference(duplicate_literal_removal,[],[f15360]) ).
thf(f15369,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f15368]) ).
thf(f15373,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f15365]) ).
thf(f15376,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_78
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f15369,f4139]) ).
thf(f15377,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_78
| spl0_104 ),
inference(forward_subsumption_resolution,[],[f15373,f4129]) ).
thf(f15379,plain,
( spl0_11
| ~ spl0_78
| spl0_86 ),
inference(avatar_split_clause,[],[f15376,f3466,f3111,f160]) ).
thf(f15380,plain,
( spl0_98
| spl0_87
| ~ spl0_78
| spl0_104 ),
inference(avatar_split_clause,[],[f15377,f3817,f3111,f3469,f3753]) ).
thf(f15409,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_71
| ~ spl0_312 ),
inference(constrained_superposition,[],[f3058,f10975]) ).
thf(f15417,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_71
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f15409]) ).
thf(f15423,plain,
( spl0_331
| ~ spl0_71
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f15417,f10974,f3057,f11373]) ).
thf(f15429,plain,
( spl0_183
| spl0_247
| spl0_94
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f14925,f9846,f3730,f7888,f6006]) ).
thf(f15431,plain,
( spl0_4
| spl0_104
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f14323,f194,f3817,f70]) ).
thf(f15432,plain,
( spl0_10
| spl0_82
| spl0_87
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f15291,f3617,f3469,f3174,f149]) ).
thf(f15433,plain,
( spl0_177
| spl0_176
| spl0_94
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f13671,f5853,f3730,f5931,f5934]) ).
thf(f15434,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_90
| ~ spl0_167
| ~ spl0_200 ),
inference(forward_subsumption_resolution,[],[f14579,f3618]) ).
thf(f15435,plain,
( spl0_176
| ~ spl0_90
| ~ spl0_167
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f15434,f6414,f5853,f3617,f5931]) ).
thf(f15446,plain,
( ( $true != $true )
| ~ spl0_60
| ~ spl0_186 ),
inference(constrained_superposition,[],[f2423,f6211]) ).
thf(f15453,plain,
( $false
| ~ spl0_60
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f15446]) ).
thf(f15454,plain,
( ~ spl0_60
| ~ spl0_186 ),
inference(avatar_contradiction_clause,[],[f15453]) ).
thf(f15459,plain,
( ( $true != $true )
| ~ spl0_10
| ~ spl0_90 ),
inference(constrained_superposition,[],[f150,f3618]) ).
thf(f15464,plain,
( $false
| ~ spl0_10
| ~ spl0_90 ),
inference(trivial_inequality_removal,[],[f15459]) ).
thf(f15465,plain,
( ~ spl0_10
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f15464]) ).
thf(f15488,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_104 ),
inference(constrained_superposition,[],[f27,f3818]) ).
thf(f15491,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f15488]) ).
thf(f15495,plain,
( spl0_17
| spl0_52
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f15491,f3817,f2283,f249]) ).
thf(f15498,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( z = X1 )
| ( ( b @ z @ X1 )
= $true )
| ( $true
= ( b @ z @ X0 ) ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f2455,f3074]) ).
thf(f15505,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ z @ X0 ) )
| ( z = X1 )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( b @ z @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f15498]) ).
thf(f15507,plain,
( spl0_80
| spl0_65
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f15505,f3073,f2766,f3118]) ).
thf(f15536,plain,
( ( $true != $true )
| ~ spl0_21
| spl0_72 ),
inference(constrained_superposition,[],[f14591,f293]) ).
thf(f15543,plain,
( $false
| ~ spl0_21
| spl0_72 ),
inference(trivial_inequality_removal,[],[f15536]) ).
thf(f15544,plain,
( ~ spl0_21
| spl0_72 ),
inference(avatar_contradiction_clause,[],[f15543]) ).
thf(f15562,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f90,f6036]) ).
thf(f15565,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f15562]) ).
thf(f15569,plain,
( spl0_207
| spl0_8
| spl0_183
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f15565,f6035,f6006,f130,f6694]) ).
thf(f15572,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_176 ),
inference(constrained_superposition,[],[f8811,f28]) ).
thf(f15573,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_176 ),
inference(trivial_inequality_removal,[],[f15572]) ).
thf(f15574,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_176
| spl0_187 ),
inference(forward_subsumption_resolution,[],[f15573,f9815]) ).
thf(f15575,plain,
( spl0_179
| spl0_176
| spl0_187 ),
inference(avatar_split_clause,[],[f15574,f6027,f5931,f5944]) ).
thf(f15576,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_179 ),
inference(constrained_superposition,[],[f142,f8777]) ).
thf(f15580,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_179 ),
inference(duplicate_literal_removal,[],[f15576]) ).
thf(f15581,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f15580]) ).
thf(f15605,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f27,f5857]) ).
thf(f15606,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f15605]) ).
thf(f15613,plain,
( spl0_75
| spl0_173
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f15606,f5856,f5890,f3100]) ).
thf(f15623,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f27,f6007]) ).
thf(f15625,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f15623]) ).
thf(f15632,plain,
( spl0_211
| spl0_212
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f15625,f6006,f6745,f6742]) ).
thf(f15648,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_246 ),
inference(constrained_superposition,[],[f27,f8794]) ).
thf(f15649,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f15648]) ).
thf(f15656,plain,
( spl0_191
| spl0_173
| ~ spl0_246 ),
inference(avatar_split_clause,[],[f15649,f7845,f5890,f6173]) ).
thf(f15681,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_216 ),
inference(constrained_superposition,[],[f6881,f28]) ).
thf(f15683,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_216 ),
inference(trivial_inequality_removal,[],[f15681]) ).
thf(f15684,plain,
( spl0_203
| spl0_219
| spl0_216 ),
inference(avatar_split_clause,[],[f15683,f6880,f6905,f6571]) ).
thf(f15711,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_326 ),
inference(constrained_superposition,[],[f27,f11159]) ).
thf(f15718,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f15711]) ).
thf(f15720,plain,
( spl0_327
| spl0_322
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f15718,f11158,f11133,f11204]) ).
thf(f15767,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_72
| ~ spl0_154 ),
inference(constrained_superposition,[],[f14591,f5337]) ).
thf(f15779,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_72
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f15767]) ).
thf(f15781,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_72
| spl0_79
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f15779,f5784]) ).
thf(f15786,plain,
( $false
| spl0_72
| spl0_79
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f15781,f32]) ).
thf(f15787,plain,
( spl0_72
| spl0_79
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f15786]) ).
thf(f15804,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_170
| ~ spl0_192 ),
inference(constrained_superposition,[],[f6177,f5864]) ).
thf(f15809,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_170 ),
inference(constrained_superposition,[],[f27,f5864]) ).
thf(f15810,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_170
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f15804]) ).
thf(f15813,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f15809]) ).
thf(f15818,plain,
( $false
| ~ spl0_170
| ~ spl0_183
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f15810,f6007]) ).
thf(f15819,plain,
( ~ spl0_170
| ~ spl0_183
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f15818]) ).
thf(f15821,plain,
( spl0_217
| spl0_211
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f15813,f5863,f6742,f6884]) ).
thf(f15822,plain,
( spl0_11
| spl0_227
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f15581,f5944,f7353,f160]) ).
thf(f15826,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f90,f9836]) ).
thf(f15832,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_253 ),
inference(duplicate_literal_removal,[],[f15826]) ).
thf(f15833,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f15832]) ).
thf(f15835,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_176
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f15833,f8811]) ).
thf(f15837,plain,
( spl0_10
| spl0_258
| spl0_176
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f15835,f8294,f5931,f8374,f149]) ).
thf(f15877,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_87
| ~ spl0_331 ),
inference(constrained_superposition,[],[f3470,f11374]) ).
thf(f15885,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_87
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f15877]) ).
thf(f15979,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_173 ),
inference(constrained_superposition,[],[f5891,f35]) ).
thf(f15984,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f15979]) ).
thf(f15998,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_290
| ~ spl0_325 ),
inference(constrained_superposition,[],[f11156,f9840]) ).
thf(f16009,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_290
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f15998]) ).
thf(f16010,plain,
( $false
| ~ spl0_195
| ~ spl0_290
| ~ spl0_325 ),
inference(forward_subsumption_resolution,[],[f16009,f6189]) ).
thf(f16011,plain,
( ~ spl0_195
| ~ spl0_290
| ~ spl0_325 ),
inference(avatar_contradiction_clause,[],[f16010]) ).
thf(f16014,plain,
( ~ spl0_342
| ~ spl0_87
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f15885,f11373,f3469,f12575]) ).
thf(f16082,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| ~ spl0_168 ),
inference(constrained_superposition,[],[f46,f5857]) ).
thf(f16083,plain,
( ( ( b @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_183 ),
inference(constrained_superposition,[],[f46,f6007]) ).
thf(f16086,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ~ spl0_1
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f16083]) ).
thf(f16090,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f16082]) ).
thf(f16145,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_212
| ~ spl0_296 ),
inference(constrained_superposition,[],[f6746,f9870]) ).
thf(f16153,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_212
| ~ spl0_296 ),
inference(trivial_inequality_removal,[],[f16145]) ).
thf(f16162,plain,
( $false
| ~ spl0_212
| ~ spl0_296
| ~ spl0_326 ),
inference(forward_subsumption_resolution,[],[f16153,f11159]) ).
thf(f16163,plain,
( ~ spl0_212
| ~ spl0_296
| ~ spl0_326 ),
inference(avatar_contradiction_clause,[],[f16162]) ).
thf(f16165,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_73
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f16090,f3074]) ).
thf(f16167,plain,
( spl0_186
| ~ spl0_88
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f15984,f5890,f3574,f6018]) ).
thf(f16168,plain,
( spl0_186
| ~ spl0_1
| ~ spl0_73
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f16165,f5856,f3073,f45,f6018]) ).
thf(f16172,plain,
( ~ spl0_208
| spl0_13
| ~ spl0_1
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f16086,f6006,f45,f194,f6697]) ).
thf(f16190,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f90,f6211]) ).
thf(f16191,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f65,f6211]) ).
thf(f16194,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f16190]) ).
thf(f16195,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_186 ),
inference(duplicate_literal_removal,[],[f16191]) ).
thf(f16196,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f16195]) ).
thf(f16197,plain,
( spl0_199
| spl0_8
| spl0_176
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f16194,f6018,f5931,f130,f6381]) ).
thf(f16198,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_178
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f16196,f6924]) ).
thf(f16199,plain,
( spl0_60
| spl0_199
| spl0_178
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f16198,f6018,f5939,f6381,f2422]) ).
thf(f16206,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f27,f5932]) ).
thf(f16212,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f16206]) ).
thf(f16214,plain,
( spl0_191
| spl0_192
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f16212,f5931,f6176,f6173]) ).
thf(f16233,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f65,f6036]) ).
thf(f16235,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_189 ),
inference(duplicate_literal_removal,[],[f16233]) ).
thf(f16236,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f16235]) ).
thf(f16239,plain,
( spl0_207
| spl0_60
| spl0_208
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f16236,f6035,f6697,f2422,f6694]) ).
thf(f16274,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f27,f7354]) ).
thf(f16278,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f16274]) ).
thf(f16284,plain,
( spl0_192
| spl0_17
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f16278,f7353,f249,f6176]) ).
thf(f16366,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f90,f6906]) ).
thf(f16373,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f16366]) ).
thf(f16374,plain,
( spl0_180
| spl0_247
| spl0_82
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f16373,f6905,f3174,f7888,f5994]) ).
thf(f16449,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_171
| ~ spl0_212 ),
inference(constrained_superposition,[],[f6746,f5868]) ).
thf(f16461,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_171
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f16449]) ).
thf(f16466,plain,
( $false
| ~ spl0_171
| ~ spl0_176
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f16461,f5932]) ).
thf(f16467,plain,
( ~ spl0_171
| ~ spl0_176
| ~ spl0_212 ),
inference(avatar_contradiction_clause,[],[f16466]) ).
thf(f16519,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_192
| ~ spl0_295 ),
inference(constrained_superposition,[],[f6177,f9857]) ).
thf(f16529,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_192
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f16519]) ).
thf(f16537,plain,
( $false
| ~ spl0_192
| ~ spl0_295
| ~ spl0_326 ),
inference(forward_subsumption_resolution,[],[f16529,f11159]) ).
thf(f16538,plain,
( ~ spl0_192
| ~ spl0_295
| ~ spl0_326 ),
inference(avatar_contradiction_clause,[],[f16537]) ).
thf(f16593,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_180
| ~ spl0_219 ),
inference(constrained_superposition,[],[f5995,f6906]) ).
thf(f16605,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_180
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f16593]) ).
thf(f16609,plain,
( $false
| ~ spl0_90
| ~ spl0_180
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f16605,f3618]) ).
thf(f16610,plain,
( ~ spl0_90
| ~ spl0_180
| ~ spl0_219 ),
inference(avatar_contradiction_clause,[],[f16609]) ).
thf(f16613,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_76
| ~ spl0_338 ),
inference(constrained_superposition,[],[f3104,f13346]) ).
thf(f16623,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_76
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f16613]) ).
thf(f16629,plain,
( $false
| ~ spl0_76
| ~ spl0_312
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f16623,f10975]) ).
thf(f16630,plain,
( ~ spl0_76
| ~ spl0_312
| ~ spl0_338 ),
inference(avatar_contradiction_clause,[],[f16629]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f72]) ).
cnf(s11,plain,
( ~ spl0_2
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f217]) ).
cnf(s12,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_11 ),
inference(sat_conversion,[],[f226]) ).
cnf(s16,plain,
( spl0_17
| ~ spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f267]) ).
cnf(s20,plain,
( ~ spl0_3
| ~ spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f385]) ).
cnf(s69,plain,
~ spl0_35,
inference(sat_conversion,[],[f1588]) ).
cnf(s74,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f1591]) ).
cnf(s76,plain,
( spl0_13
| ~ spl0_19
| spl0_21 ),
inference(sat_conversion,[],[f1593]) ).
cnf(s87,plain,
( ~ spl0_23
| spl0_35
| spl0_46 ),
inference(sat_conversion,[],[f1984]) ).
cnf(s96,plain,
~ spl0_45,
inference(sat_conversion,[],[f2077]) ).
cnf(s102,plain,
( spl0_45
| ~ spl0_46 ),
inference(sat_conversion,[],[f2169]) ).
cnf(s104,plain,
( ~ spl0_3
| ~ spl0_14
| spl0_49 ),
inference(sat_conversion,[],[f2185]) ).
cnf(s108,plain,
( spl0_23
| ~ spl0_49 ),
inference(sat_conversion,[],[f2268]) ).
cnf(s117,plain,
( ~ spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f2347]) ).
cnf(s126,plain,
( spl0_16
| spl0_64
| spl0_65 ),
inference(sat_conversion,[],[f2768]) ).
cnf(s142,plain,
( spl0_4
| ~ spl0_72
| spl0_73 ),
inference(sat_conversion,[],[f3172]) ).
cnf(s148,plain,
( ~ spl0_52
| ~ spl0_73
| spl0_78
| spl0_79 ),
inference(sat_conversion,[],[f3202]) ).
cnf(s152,plain,
( spl0_4
| ~ spl0_72
| ~ spl0_77 ),
inference(sat_conversion,[],[f3219]) ).
cnf(s157,plain,
~ spl0_79,
inference(sat_conversion,[],[f3278]) ).
cnf(s161,plain,
( ~ spl0_52
| ~ spl0_73
| ~ spl0_82 ),
inference(sat_conversion,[],[f3318]) ).
cnf(s163,plain,
( spl0_75
| ~ spl0_82
| spl0_84 ),
inference(sat_conversion,[],[f3327]) ).
cnf(s164,plain,
( ~ spl0_1
| spl0_13
| ~ spl0_73
| ~ spl0_82 ),
inference(sat_conversion,[],[f3329]) ).
cnf(s166,plain,
( spl0_71
| ~ spl0_76 ),
inference(sat_conversion,[],[f3368]) ).
cnf(s171,plain,
( spl0_16
| ~ spl0_76
| ~ spl0_86 ),
inference(sat_conversion,[],[f3491]) ).
cnf(s173,plain,
( spl0_10
| ~ spl0_78
| spl0_86
| spl0_87 ),
inference(sat_conversion,[],[f3522]) ).
cnf(s175,plain,
( spl0_10
| spl0_16
| spl0_77
| ~ spl0_78
| spl0_79
| spl0_87 ),
inference(sat_conversion,[],[f3524]) ).
cnf(s177,plain,
( spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f3550]) ).
cnf(s179,plain,
( spl0_16
| ~ spl0_76
| spl0_79
| spl0_90 ),
inference(sat_conversion,[],[f3619]) ).
cnf(s183,plain,
( ~ spl0_11
| ~ spl0_80
| spl0_82
| spl0_91 ),
inference(sat_conversion,[],[f3714]) ).
cnf(s194,plain,
( spl0_73
| spl0_77 ),
inference(sat_conversion,[],[f3782]) ).
cnf(s197,plain,
( ~ spl0_7
| ~ spl0_16
| spl0_82
| ~ spl0_90 ),
inference(sat_conversion,[],[f3808]) ).
cnf(s199,plain,
( ~ spl0_4
| spl0_104
| spl0_105 ),
inference(sat_conversion,[],[f3822]) ).
cnf(s200,plain,
( ~ spl0_1
| ~ spl0_11
| spl0_103
| spl0_106 ),
inference(sat_conversion,[],[f3826]) ).
cnf(s201,plain,
( ~ spl0_4
| ~ spl0_16
| spl0_107 ),
inference(sat_conversion,[],[f3830]) ).
cnf(s202,plain,
( spl0_104
| spl0_108 ),
inference(sat_conversion,[],[f3835]) ).
cnf(s205,plain,
( ~ spl0_4
| ~ spl0_16
| spl0_73
| ~ spl0_90 ),
inference(sat_conversion,[],[f3842]) ).
cnf(s206,plain,
( ~ spl0_16
| ~ spl0_74
| ~ spl0_90 ),
inference(sat_conversion,[],[f3843]) ).
cnf(s207,plain,
( ~ spl0_1
| spl0_13
| spl0_103 ),
inference(sat_conversion,[],[f3844]) ).
cnf(s213,plain,
( ~ spl0_76
| spl0_79
| spl0_90
| ~ spl0_104 ),
inference(sat_conversion,[],[f3871]) ).
cnf(s218,plain,
( ~ spl0_11
| spl0_13
| ~ spl0_78
| spl0_101 ),
inference(sat_conversion,[],[f3916]) ).
cnf(s219,plain,
( ~ spl0_1
| spl0_8
| spl0_74
| ~ spl0_78
| spl0_113 ),
inference(sat_conversion,[],[f3968]) ).
cnf(s221,plain,
( spl0_72
| spl0_88 ),
inference(sat_conversion,[],[f3970]) ).
cnf(s224,plain,
( spl0_13
| ~ spl0_65 ),
inference(sat_conversion,[],[f4012]) ).
cnf(s226,plain,
( ~ spl0_11
| ~ spl0_65
| spl0_106 ),
inference(sat_conversion,[],[f4014]) ).
cnf(s227,plain,
( spl0_60
| ~ spl0_65
| spl0_114 ),
inference(sat_conversion,[],[f4018]) ).
cnf(s228,plain,
( ~ spl0_8
| ~ spl0_72
| spl0_86 ),
inference(sat_conversion,[],[f4042]) ).
cnf(s234,plain,
( spl0_79
| spl0_86
| spl0_90 ),
inference(sat_conversion,[],[f4145]) ).
cnf(s235,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_90
| spl0_113 ),
inference(sat_conversion,[],[f4166]) ).
cnf(s238,plain,
( ~ spl0_70
| spl0_77 ),
inference(sat_conversion,[],[f4238]) ).
cnf(s250,plain,
( ~ spl0_75
| ~ spl0_82 ),
inference(sat_conversion,[],[f4289]) ).
cnf(s253,plain,
( ~ spl0_16
| ~ spl0_77
| ~ spl0_94 ),
inference(sat_conversion,[],[f4387]) ).
cnf(s255,plain,
( spl0_70
| ~ spl0_75 ),
inference(sat_conversion,[],[f4392]) ).
cnf(s256,plain,
( ~ spl0_1
| spl0_60
| spl0_74
| ~ spl0_77
| spl0_113 ),
inference(sat_conversion,[],[f4408]) ).
cnf(s268,plain,
( spl0_73
| spl0_86
| ~ spl0_107 ),
inference(sat_conversion,[],[f4662]) ).
cnf(s269,plain,
( spl0_17
| ~ spl0_107
| spl0_135 ),
inference(sat_conversion,[],[f4666]) ).
cnf(s275,plain,
( ~ spl0_76
| spl0_113 ),
inference(sat_conversion,[],[f4767]) ).
cnf(s380,plain,
( ~ spl0_11
| spl0_82
| ~ spl0_167
| ~ spl0_179 ),
inference(sat_conversion,[],[f5946]) ).
cnf(s389,plain,
( ~ spl0_11
| ~ spl0_169
| ~ spl0_179
| spl0_183 ),
inference(sat_conversion,[],[f6008]) ).
cnf(s402,plain,
~ spl0_184,
inference(sat_conversion,[],[f6129]) ).
cnf(s417,plain,
( spl0_13
| spl0_179
| spl0_186
| spl0_187 ),
inference(sat_conversion,[],[f6212]) ).
cnf(s424,plain,
~ spl0_187,
inference(sat_conversion,[],[f6304]) ).
cnf(s433,plain,
( spl0_175
| ~ spl0_191 ),
inference(sat_conversion,[],[f6336]) ).
cnf(s440,plain,
( ~ spl0_76
| ~ spl0_178
| spl0_190
| spl0_200 ),
inference(sat_conversion,[],[f6416]) ).
cnf(s441,plain,
( ~ spl0_71
| ~ spl0_178
| spl0_200 ),
inference(sat_conversion,[],[f6417]) ).
cnf(s456,plain,
~ spl0_190,
inference(sat_conversion,[],[f6527]) ).
cnf(s467,plain,
( ~ spl0_87
| ~ spl0_103
| ~ spl0_113
| spl0_184
| spl0_188
| spl0_203 ),
inference(sat_conversion,[],[f6582]) ).
cnf(s474,plain,
~ spl0_203,
inference(sat_conversion,[],[f6670]) ).
cnf(s488,plain,
( ~ spl0_78
| spl0_177
| ~ spl0_200
| spl0_213 ),
inference(sat_conversion,[],[f6794]) ).
cnf(s493,plain,
( ~ spl0_8
| spl0_17
| ~ spl0_189
| spl0_212 ),
inference(sat_conversion,[],[f6817]) ).
cnf(s496,plain,
( ~ spl0_169
| ~ spl0_188
| ~ spl0_199 ),
inference(sat_conversion,[],[f6860]) ).
cnf(s508,plain,
( ~ spl0_1
| spl0_13
| ~ spl0_176
| ~ spl0_178 ),
inference(sat_conversion,[],[f6925]) ).
cnf(s510,plain,
( ~ spl0_13
| spl0_55
| ~ spl0_108 ),
inference(sat_conversion,[],[f6928]) ).
cnf(s511,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_77
| ~ spl0_78 ),
inference(sat_conversion,[],[f6929]) ).
cnf(s514,plain,
( ~ spl0_11
| ~ spl0_13
| ~ spl0_77
| spl0_82 ),
inference(sat_conversion,[],[f6938]) ).
cnf(s522,plain,
( ~ spl0_11
| ~ spl0_13
| spl0_73
| ~ spl0_78 ),
inference(sat_conversion,[],[f6951]) ).
cnf(s523,plain,
( ~ spl0_73
| ~ spl0_168
| ~ spl0_194 ),
inference(sat_conversion,[],[f6952]) ).
cnf(s524,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f6953]) ).
cnf(s525,plain,
( ~ spl0_2
| spl0_67 ),
inference(sat_conversion,[],[f6958]) ).
cnf(s526,plain,
( ~ spl0_2
| spl0_65 ),
inference(sat_conversion,[],[f6959]) ).
cnf(s527,plain,
( spl0_17
| spl0_79
| spl0_84
| spl0_90 ),
inference(sat_conversion,[],[f6960]) ).
cnf(s536,plain,
( spl0_188
| spl0_208 ),
inference(sat_conversion,[],[f7022]) ).
cnf(s541,plain,
( ~ spl0_8
| spl0_17
| ~ spl0_186
| spl0_192 ),
inference(sat_conversion,[],[f7060]) ).
cnf(s544,plain,
( ~ spl0_8
| ~ spl0_86
| ~ spl0_186
| spl0_200 ),
inference(sat_conversion,[],[f7063]) ).
cnf(s546,plain,
( ~ spl0_98
| ~ spl0_167
| ~ spl0_186 ),
inference(sat_conversion,[],[f7116]) ).
cnf(s548,plain,
( ~ spl0_17
| ~ spl0_86 ),
inference(sat_conversion,[],[f7135]) ).
cnf(s549,plain,
( ~ spl0_17
| spl0_61 ),
inference(sat_conversion,[],[f7136]) ).
cnf(s573,plain,
( ~ spl0_77
| ~ spl0_167
| ~ spl0_199 ),
inference(sat_conversion,[],[f7330]) ).
cnf(s574,plain,
( ~ spl0_16
| spl0_17
| spl0_192
| ~ spl0_199 ),
inference(sat_conversion,[],[f7346]) ).
cnf(s577,plain,
( ~ spl0_16
| ~ spl0_86
| ~ spl0_199
| spl0_200 ),
inference(sat_conversion,[],[f7350]) ).
cnf(s580,plain,
( spl0_16
| spl0_104 ),
inference(sat_conversion,[],[f7357]) ).
cnf(s582,plain,
( ~ spl0_104
| spl0_149 ),
inference(sat_conversion,[],[f7377]) ).
cnf(s587,plain,
( spl0_16
| spl0_52
| ~ spl0_104 ),
inference(sat_conversion,[],[f7383]) ).
cnf(s589,plain,
( spl0_75
| ~ spl0_168
| spl0_173 ),
inference(sat_conversion,[],[f7406]) ).
cnf(s591,plain,
( ~ spl0_4
| spl0_114 ),
inference(sat_conversion,[],[f7418]) ).
cnf(s634,plain,
( spl0_183
| spl0_244 ),
inference(sat_conversion,[],[f7819]) ).
cnf(s637,plain,
( ~ spl0_103
| spl0_184
| spl0_188
| spl0_244 ),
inference(sat_conversion,[],[f7827]) ).
cnf(s640,plain,
( ~ spl0_171
| spl0_219
| ~ spl0_246 ),
inference(sat_conversion,[],[f7847]) ).
cnf(s641,plain,
( spl0_200
| spl0_246 ),
inference(sat_conversion,[],[f7857]) ).
cnf(s645,plain,
( ~ spl0_78
| spl0_180
| ~ spl0_219
| spl0_247 ),
inference(sat_conversion,[],[f7893]) ).
cnf(s646,plain,
( ~ spl0_87
| ~ spl0_219
| ~ spl0_244 ),
inference(sat_conversion,[],[f7894]) ).
cnf(s648,plain,
( ~ spl0_101
| spl0_184
| spl0_189
| ~ spl0_219 ),
inference(sat_conversion,[],[f7899]) ).
cnf(s653,plain,
( ~ spl0_74
| ~ spl0_188
| ~ spl0_219 ),
inference(sat_conversion,[],[f7905]) ).
cnf(s655,plain,
( ~ spl0_11
| ~ spl0_78
| spl0_183
| ~ spl0_219 ),
inference(sat_conversion,[],[f7909]) ).
cnf(s657,plain,
( ~ spl0_4
| ~ spl0_195
| spl0_199 ),
inference(sat_conversion,[],[f7915]) ).
cnf(s667,plain,
( ~ spl0_208
| spl0_209
| spl0_211 ),
inference(sat_conversion,[],[f7987]) ).
cnf(s672,plain,
( ~ spl0_170
| ~ spl0_194
| ~ spl0_208 ),
inference(sat_conversion,[],[f8026]) ).
cnf(s674,plain,
( ~ spl0_178
| spl0_191
| spl0_194 ),
inference(sat_conversion,[],[f8028]) ).
cnf(s676,plain,
( ~ spl0_178
| ~ spl0_191 ),
inference(sat_conversion,[],[f8038]) ).
cnf(s679,plain,
( ~ spl0_191
| spl0_200 ),
inference(sat_conversion,[],[f8040]) ).
cnf(s683,plain,
( ~ spl0_82
| ~ spl0_168
| ~ spl0_192 ),
inference(sat_conversion,[],[f8103]) ).
cnf(s686,plain,
( spl0_50
| ~ spl0_105 ),
inference(sat_conversion,[],[f8144]) ).
cnf(s689,plain,
( spl0_178
| spl0_195 ),
inference(sat_conversion,[],[f8149]) ).
cnf(s691,plain,
( ~ spl0_90
| ~ spl0_177
| spl0_227 ),
inference(sat_conversion,[],[f8192]) ).
cnf(s692,plain,
( ~ spl0_72
| ~ spl0_177
| ~ spl0_186 ),
inference(sat_conversion,[],[f8194]) ).
cnf(s695,plain,
( ~ spl0_181
| ~ spl0_253
| spl0_254 ),
inference(sat_conversion,[],[f8299]) ).
cnf(s697,plain,
( spl0_227
| spl0_253 ),
inference(sat_conversion,[],[f8312]) ).
cnf(s699,plain,
( spl0_189
| ~ spl0_217
| ~ spl0_256 ),
inference(sat_conversion,[],[f8325]) ).
cnf(s703,plain,
( spl0_8
| ~ spl0_195
| spl0_227
| spl0_258 ),
inference(sat_conversion,[],[f8376]) ).
cnf(s705,plain,
( ~ spl0_86
| ~ spl0_173
| ~ spl0_227 ),
inference(sat_conversion,[],[f8396]) ).
cnf(s708,plain,
( ~ spl0_86
| spl0_200
| ~ spl0_227 ),
inference(sat_conversion,[],[f8399]) ).
cnf(s711,plain,
( ~ spl0_61
| spl0_79
| spl0_90 ),
inference(sat_conversion,[],[f8461]) ).
cnf(s774,plain,
( ~ spl0_52
| spl0_184
| ~ spl0_208
| spl0_244 ),
inference(sat_conversion,[],[f9046]) ).
cnf(s775,plain,
( ~ spl0_91
| spl0_189
| spl0_203
| ~ spl0_244 ),
inference(sat_conversion,[],[f9071]) ).
cnf(s792,plain,
( ~ spl0_74
| ~ spl0_175
| spl0_190
| ~ spl0_195 ),
inference(sat_conversion,[],[f9330]) ).
cnf(s798,plain,
( ~ spl0_50
| spl0_176
| spl0_178 ),
inference(sat_conversion,[],[f9459]) ).
cnf(s803,plain,
( spl0_188
| ~ spl0_215 ),
inference(sat_conversion,[],[f9569]) ).
cnf(s820,plain,
( spl0_17
| spl0_187
| spl0_192
| spl0_253 ),
inference(sat_conversion,[],[f9837]) ).
cnf(s821,plain,
( spl0_187
| spl0_290
| spl0_291 ),
inference(sat_conversion,[],[f9844]) ).
cnf(s822,plain,
( spl0_187
| spl0_292
| spl0_293 ),
inference(sat_conversion,[],[f9851]) ).
cnf(s823,plain,
( spl0_187
| spl0_294
| spl0_295 ),
inference(sat_conversion,[],[f9858]) ).
cnf(s824,plain,
( spl0_190
| spl0_296
| spl0_297 ),
inference(sat_conversion,[],[f9874]) ).
cnf(s825,plain,
( spl0_190
| spl0_298
| spl0_299 ),
inference(sat_conversion,[],[f9881]) ).
cnf(s826,plain,
( ~ spl0_77
| ~ spl0_207
| ~ spl0_292 ),
inference(sat_conversion,[],[f9937]) ).
cnf(s830,plain,
( ~ spl0_168
| ~ spl0_217
| ~ spl0_293 ),
inference(sat_conversion,[],[f9966]) ).
cnf(s832,plain,
( ~ spl0_1
| spl0_71
| spl0_72 ),
inference(sat_conversion,[],[f9971]) ).
cnf(s834,plain,
( spl0_78
| spl0_82 ),
inference(sat_conversion,[],[f9975]) ).
cnf(s836,plain,
( ~ spl0_90
| ~ spl0_247
| spl0_254 ),
inference(sat_conversion,[],[f9985]) ).
cnf(s838,plain,
( ~ spl0_16
| ~ spl0_199
| spl0_227 ),
inference(sat_conversion,[],[f9987]) ).
cnf(s840,plain,
( spl0_8
| ~ spl0_77
| spl0_86
| spl0_87 ),
inference(sat_conversion,[],[f9989]) ).
cnf(s843,plain,
( ~ spl0_170
| ~ spl0_173
| ~ spl0_216 ),
inference(sat_conversion,[],[f9994]) ).
cnf(s850,plain,
( ~ spl0_16
| ~ spl0_114
| spl0_178
| ~ spl0_253 ),
inference(sat_conversion,[],[f10005]) ).
cnf(s853,plain,
( spl0_8
| ~ spl0_64
| spl0_72
| ~ spl0_77
| spl0_79
| spl0_87 ),
inference(sat_conversion,[],[f10010]) ).
cnf(s854,plain,
( ~ spl0_64
| ~ spl0_90
| spl0_184
| spl0_189
| ~ spl0_247 ),
inference(sat_conversion,[],[f10011]) ).
cnf(s857,plain,
( spl0_13
| spl0_72
| spl0_78
| spl0_79 ),
inference(sat_conversion,[],[f10014]) ).
cnf(s860,plain,
( spl0_186
| spl0_256 ),
inference(sat_conversion,[],[f10020]) ).
cnf(s867,plain,
( spl0_169
| spl0_170
| spl0_190 ),
inference(sat_conversion,[],[f10037]) ).
cnf(s871,plain,
( spl0_171
| spl0_172
| spl0_190 ),
inference(sat_conversion,[],[f10045]) ).
cnf(s875,plain,
( spl0_75
| spl0_78
| spl0_79
| spl0_84 ),
inference(sat_conversion,[],[f10055]) ).
cnf(s877,plain,
( spl0_75
| spl0_167
| spl0_173
| spl0_190 ),
inference(sat_conversion,[],[f10057]) ).
cnf(s878,plain,
( ~ spl0_10
| ~ spl0_253 ),
inference(sat_conversion,[],[f10069]) ).
cnf(s881,plain,
( ~ spl0_10
| ~ spl0_64
| spl0_154 ),
inference(sat_conversion,[],[f10075]) ).
cnf(s886,plain,
( spl0_60
| ~ spl0_72
| spl0_74
| ~ spl0_77 ),
inference(sat_conversion,[],[f10109]) ).
cnf(s887,plain,
( spl0_8
| ~ spl0_72
| spl0_74
| spl0_82 ),
inference(sat_conversion,[],[f10110]) ).
cnf(s888,plain,
( ~ spl0_75
| ~ spl0_168 ),
inference(sat_conversion,[],[f10115]) ).
cnf(s899,plain,
( spl0_167
| spl0_168
| spl0_190 ),
inference(sat_conversion,[],[f10184]) ).
cnf(s901,plain,
( spl0_75
| ~ spl0_82
| spl0_84 ),
inference(sat_conversion,[],[f10198]) ).
cnf(s910,plain,
( ~ spl0_211
| spl0_219 ),
inference(sat_conversion,[],[f10255]) ).
cnf(s911,plain,
( ~ spl0_211
| spl0_215 ),
inference(sat_conversion,[],[f10256]) ).
cnf(s916,plain,
( ~ spl0_149
| spl0_191
| spl0_195
| ~ spl0_227 ),
inference(sat_conversion,[],[f10279]) ).
cnf(s920,plain,
( ~ spl0_86
| spl0_200
| ~ spl0_227 ),
inference(sat_conversion,[],[f10286]) ).
cnf(s921,plain,
( ~ spl0_1
| ~ spl0_104
| spl0_186
| ~ spl0_227 ),
inference(sat_conversion,[],[f10287]) ).
cnf(s923,plain,
( spl0_17
| spl0_84
| ~ spl0_86 ),
inference(sat_conversion,[],[f10304]) ).
cnf(s929,plain,
( spl0_190
| spl0_200
| spl0_246 ),
inference(sat_conversion,[],[f10417]) ).
cnf(s942,plain,
( spl0_94
| ~ spl0_244
| spl0_247
| ~ spl0_292 ),
inference(sat_conversion,[],[f10527]) ).
cnf(s943,plain,
( ~ spl0_72
| ~ spl0_200
| ~ spl0_214 ),
inference(sat_conversion,[],[f10563]) ).
cnf(s944,plain,
( ~ spl0_4
| ~ spl0_16
| spl0_24 ),
inference(sat_conversion,[],[f10574]) ).
cnf(s946,plain,
( ~ spl0_24
| spl0_105 ),
inference(sat_conversion,[],[f10591]) ).
cnf(s948,plain,
( ~ spl0_70
| spl0_78
| spl0_79 ),
inference(sat_conversion,[],[f10622]) ).
cnf(s951,plain,
( ~ spl0_24
| ~ spl0_70
| ~ spl0_77
| spl0_79 ),
inference(sat_conversion,[],[f10629]) ).
cnf(s958,plain,
( ~ spl0_72
| ~ spl0_108
| spl0_176
| ~ spl0_200
| spl0_258 ),
inference(sat_conversion,[],[f10660]) ).
cnf(s962,plain,
( ~ spl0_1
| ~ spl0_104
| spl0_189
| ~ spl0_254 ),
inference(sat_conversion,[],[f10664]) ).
cnf(s963,plain,
( ~ spl0_16
| ~ spl0_74
| spl0_86 ),
inference(sat_conversion,[],[f10665]) ).
cnf(s965,plain,
( ~ spl0_104
| ~ spl0_209
| ~ spl0_254 ),
inference(sat_conversion,[],[f10670]) ).
cnf(s972,plain,
( ~ spl0_4
| ~ spl0_188
| spl0_207 ),
inference(sat_conversion,[],[f10728]) ).
cnf(s981,plain,
( spl0_75
| ~ spl0_293
| spl0_300 ),
inference(sat_conversion,[],[f10818]) ).
cnf(s983,plain,
( ~ spl0_94
| ~ spl0_167
| ~ spl0_253 ),
inference(sat_conversion,[],[f10841]) ).
cnf(s995,plain,
( ~ spl0_172
| ~ spl0_189
| ~ spl0_214 ),
inference(sat_conversion,[],[f11028]) ).
cnf(s1004,plain,
~ spl0_316,
inference(sat_conversion,[],[f11114]) ).
cnf(s1020,plain,
( ~ spl0_103
| ~ spl0_258
| ~ spl0_294
| spl0_316
| spl0_324 ),
inference(sat_conversion,[],[f11254]) ).
cnf(s1024,plain,
( ~ spl0_4
| ~ spl0_324
| spl0_325 ),
inference(sat_conversion,[],[f11286]) ).
cnf(s1030,plain,
( ~ spl0_82
| ~ spl0_212
| ~ spl0_293 ),
inference(sat_conversion,[],[f11369]) ).
cnf(s1031,plain,
( spl0_254
| spl0_284 ),
inference(sat_conversion,[],[f11370]) ).
cnf(s1033,plain,
( ~ spl0_4
| spl0_74
| ~ spl0_77 ),
inference(sat_conversion,[],[f11376]) ).
cnf(s1037,plain,
( ~ spl0_105
| spl0_183
| ~ spl0_188 ),
inference(sat_conversion,[],[f11381]) ).
cnf(s1039,plain,
( ~ spl0_60
| ~ spl0_72 ),
inference(sat_conversion,[],[f11390]) ).
cnf(s1047,plain,
( ~ spl0_87
| ~ spl0_179
| ~ spl0_200 ),
inference(sat_conversion,[],[f11479]) ).
cnf(s1048,plain,
( ~ spl0_77
| spl0_177
| ~ spl0_200
| spl0_214 ),
inference(sat_conversion,[],[f11480]) ).
cnf(s1070,plain,
( ~ spl0_52
| spl0_324
| ~ spl0_326 ),
inference(sat_conversion,[],[f11623]) ).
cnf(s1079,plain,
( ~ spl0_194
| ~ spl0_295
| spl0_324 ),
inference(sat_conversion,[],[f11692]) ).
cnf(s1083,plain,
( ~ spl0_178
| ~ spl0_291
| ~ spl0_321 ),
inference(sat_conversion,[],[f11762]) ).
cnf(s1088,plain,
( ~ spl0_11
| ~ spl0_179
| ~ spl0_290
| spl0_326 ),
inference(sat_conversion,[],[f11865]) ).
cnf(s1094,plain,
( spl0_219
| ~ spl0_296
| ~ spl0_338 ),
inference(sat_conversion,[],[f11929]) ).
cnf(s1097,plain,
( ~ spl0_207
| ~ spl0_297
| ~ spl0_324 ),
inference(sat_conversion,[],[f11953]) ).
cnf(s1101,plain,
( spl0_331
| spl0_338 ),
inference(sat_conversion,[],[f11972]) ).
cnf(s1102,plain,
( ~ spl0_16
| ~ spl0_207
| spl0_254 ),
inference(sat_conversion,[],[f11973]) ).
cnf(s1103,plain,
( ~ spl0_11
| ~ spl0_78
| ~ spl0_179
| ~ spl0_200 ),
inference(sat_conversion,[],[f11975]) ).
cnf(s1118,plain,
( ~ spl0_170
| spl0_200
| ~ spl0_216 ),
inference(sat_conversion,[],[f11991]) ).
cnf(s1142,plain,
( spl0_216
| spl0_219 ),
inference(sat_conversion,[],[f12188]) ).
cnf(s1146,plain,
( ~ spl0_94
| ~ spl0_284
| ~ spl0_292 ),
inference(sat_conversion,[],[f12231]) ).
cnf(s1151,plain,
( ~ spl0_172
| ~ spl0_213
| ~ spl0_284 ),
inference(sat_conversion,[],[f12296]) ).
cnf(s1156,plain,
( ~ spl0_246
| ~ spl0_291
| spl0_331 ),
inference(sat_conversion,[],[f12336]) ).
cnf(s1160,plain,
( ~ spl0_199
| ~ spl0_294
| ~ spl0_324 ),
inference(sat_conversion,[],[f12367]) ).
cnf(s1165,plain,
( spl0_200
| ~ spl0_295
| ~ spl0_338 ),
inference(sat_conversion,[],[f12390]) ).
cnf(s1171,plain,
( ~ spl0_74
| spl0_312
| ~ spl0_331 ),
inference(sat_conversion,[],[f12416]) ).
cnf(s1179,plain,
( ~ spl0_72
| ~ spl0_331
| ~ spl0_333 ),
inference(sat_conversion,[],[f12511]) ).
cnf(s1181,plain,
( ~ spl0_52
| ~ spl0_312
| spl0_316
| spl0_342 ),
inference(sat_conversion,[],[f12577]) ).
cnf(s1183,plain,
( ~ spl0_209
| ~ spl0_296
| ~ spl0_312 ),
inference(sat_conversion,[],[f12645]) ).
cnf(s1191,plain,
( ~ spl0_208
| ~ spl0_298
| ~ spl0_321 ),
inference(sat_conversion,[],[f12698]) ).
cnf(s1192,plain,
( ~ spl0_11
| ~ spl0_13
| spl0_178
| ~ spl0_179 ),
inference(sat_conversion,[],[f12699]) ).
cnf(s1197,plain,
( ~ spl0_84
| ~ spl0_176
| ~ spl0_246 ),
inference(sat_conversion,[],[f12704]) ).
cnf(s1198,plain,
( ~ spl0_20
| spl0_72
| ~ spl0_84 ),
inference(sat_conversion,[],[f12705]) ).
cnf(s1200,plain,
( ~ spl0_64
| spl0_72
| spl0_79
| spl0_90 ),
inference(sat_conversion,[],[f12710]) ).
cnf(s1201,plain,
( ~ spl0_1
| spl0_72
| ~ spl0_86
| ~ spl0_104 ),
inference(sat_conversion,[],[f12711]) ).
cnf(s1206,plain,
( ~ spl0_11
| ~ spl0_13
| spl0_106 ),
inference(sat_conversion,[],[f12725]) ).
cnf(s1219,plain,
( ~ spl0_106
| ~ spl0_179
| ~ spl0_186 ),
inference(sat_conversion,[],[f12818]) ).
cnf(s1221,plain,
( ~ spl0_183
| spl0_211
| spl0_212 ),
inference(sat_conversion,[],[f12855]) ).
cnf(s1222,plain,
( ~ spl0_52
| ~ spl0_183
| ~ spl0_208 ),
inference(sat_conversion,[],[f12857]) ).
cnf(s1230,plain,
( ~ spl0_13
| spl0_176
| ~ spl0_214 ),
inference(sat_conversion,[],[f12929]) ).
cnf(s1241,plain,
( ~ spl0_169
| ~ spl0_177
| ~ spl0_219 ),
inference(sat_conversion,[],[f13089]) ).
cnf(s1243,plain,
( ~ spl0_84
| ~ spl0_169
| ~ spl0_177
| ~ spl0_183 ),
inference(sat_conversion,[],[f13124]) ).
cnf(s1246,plain,
( ~ spl0_1
| spl0_72
| ~ spl0_169
| ~ spl0_177
| ~ spl0_208 ),
inference(sat_conversion,[],[f13128]) ).
cnf(s1265,plain,
( ~ spl0_247
| ~ spl0_297
| spl0_338 ),
inference(sat_conversion,[],[f13353]) ).
cnf(s1266,plain,
( ~ spl0_84
| ~ spl0_326
| ~ spl0_338 ),
inference(sat_conversion,[],[f13373]) ).
cnf(s1276,plain,
( spl0_73
| ~ spl0_114
| ~ spl0_188
| ~ spl0_219 ),
inference(sat_conversion,[],[f13392]) ).
cnf(s1277,plain,
( ~ spl0_183
| ~ spl0_211 ),
inference(sat_conversion,[],[f13403]) ).
cnf(s1285,plain,
( ~ spl0_8
| ~ spl0_186
| spl0_227 ),
inference(sat_conversion,[],[f13426]) ).
cnf(s1286,plain,
( ~ spl0_13
| ~ spl0_186
| ~ spl0_258 ),
inference(sat_conversion,[],[f13428]) ).
cnf(s1300,plain,
( ~ spl0_176
| spl0_191
| spl0_192 ),
inference(sat_conversion,[],[f13500]) ).
cnf(s1308,plain,
( ~ spl0_52
| ~ spl0_176
| ~ spl0_178 ),
inference(sat_conversion,[],[f13547]) ).
cnf(s1315,plain,
( ~ spl0_24
| ~ spl0_179
| ~ spl0_195 ),
inference(sat_conversion,[],[f13607]) ).
cnf(s1316,plain,
( ~ spl0_24
| ~ spl0_77
| ~ spl0_78 ),
inference(sat_conversion,[],[f13609]) ).
cnf(s1318,plain,
( spl0_179
| spl0_187
| spl0_191
| spl0_192 ),
inference(sat_conversion,[],[f13610]) ).
cnf(s1336,plain,
( spl0_312
| spl0_324 ),
inference(sat_conversion,[],[f13739]) ).
cnf(s1339,plain,
( ~ spl0_312
| spl0_321
| spl0_322 ),
inference(sat_conversion,[],[f13755]) ).
cnf(s1340,plain,
( ~ spl0_312
| spl0_321
| spl0_324 ),
inference(sat_conversion,[],[f13757]) ).
cnf(s1356,plain,
( ~ spl0_88
| spl0_189
| ~ spl0_300 ),
inference(sat_conversion,[],[f14011]) ).
cnf(s1357,plain,
( ~ spl0_284
| ~ spl0_297
| ~ spl0_329 ),
inference(sat_conversion,[],[f14030]) ).
cnf(s1360,plain,
( ~ spl0_312
| ~ spl0_322 ),
inference(sat_conversion,[],[f14048]) ).
cnf(s1361,plain,
( ~ spl0_322
| ~ spl0_326 ),
inference(sat_conversion,[],[f14050]) ).
cnf(s1365,plain,
( ~ spl0_219
| ~ spl0_299
| ~ spl0_332 ),
inference(sat_conversion,[],[f14089]) ).
cnf(s1376,plain,
( ~ spl0_172
| ~ spl0_290
| ~ spl0_340 ),
inference(sat_conversion,[],[f14240]) ).
cnf(s1379,plain,
( spl0_4
| ~ spl0_13
| ~ spl0_16 ),
inference(sat_conversion,[],[f14332]) ).
cnf(s1385,plain,
( ~ spl0_16
| spl0_107
| ~ spl0_114 ),
inference(sat_conversion,[],[f14430]) ).
cnf(s1388,plain,
( ~ spl0_167
| ~ spl0_172
| ~ spl0_200
| ~ spl0_219 ),
inference(sat_conversion,[],[f14586]) ).
cnf(s1389,plain,
( ~ spl0_167
| ~ spl0_200
| ~ spl0_290
| ~ spl0_331 ),
inference(sat_conversion,[],[f14588]) ).
cnf(s1390,plain,
( ~ spl0_55
| spl0_183
| ~ spl0_297
| ~ spl0_342 ),
inference(sat_conversion,[],[f14590]) ).
cnf(s1391,plain,
( ~ spl0_72
| ~ spl0_167
| spl0_178
| ~ spl0_200 ),
inference(sat_conversion,[],[f14592]) ).
cnf(s1396,plain,
( ~ spl0_71
| ~ spl0_208
| spl0_219 ),
inference(sat_conversion,[],[f14598]) ).
cnf(s1397,plain,
( spl0_73
| spl0_177
| ~ spl0_200
| spl0_214 ),
inference(sat_conversion,[],[f14599]) ).
cnf(s1399,plain,
( ~ spl0_172
| spl0_181
| spl0_183
| spl0_213 ),
inference(sat_conversion,[],[f14602]) ).
cnf(s1401,plain,
( spl0_82
| spl0_177
| ~ spl0_200
| spl0_213 ),
inference(sat_conversion,[],[f14604]) ).
cnf(s1403,plain,
( spl0_73
| ~ spl0_114
| ~ spl0_324
| ~ spl0_331 ),
inference(sat_conversion,[],[f14606]) ).
cnf(s1404,plain,
( spl0_73
| ~ spl0_331
| spl0_332
| spl0_333 ),
inference(sat_conversion,[],[f14607]) ).
cnf(s1406,plain,
( spl0_183
| ~ spl0_297
| spl0_329
| spl0_340 ),
inference(sat_conversion,[],[f14609]) ).
cnf(s1408,plain,
( spl0_73
| ~ spl0_114
| ~ spl0_195
| ~ spl0_200 ),
inference(sat_conversion,[],[f14611]) ).
cnf(s1410,plain,
( ~ spl0_77
| ~ spl0_114
| ~ spl0_167
| spl0_178 ),
inference(sat_conversion,[],[f14614]) ).
cnf(s1411,plain,
( ~ spl0_20
| spl0_186
| ~ spl0_192 ),
inference(sat_conversion,[],[f14615]) ).
cnf(s1416,plain,
( ~ spl0_67
| spl0_186 ),
inference(sat_conversion,[],[f14638]) ).
cnf(s1419,plain,
( spl0_5
| ~ spl0_55
| ~ spl0_67 ),
inference(sat_conversion,[],[f14658]) ).
cnf(s1422,plain,
( ~ spl0_73
| spl0_75
| spl0_76 ),
inference(sat_conversion,[],[f14675]) ).
cnf(s1423,plain,
( ~ spl0_73
| spl0_76
| spl0_77 ),
inference(sat_conversion,[],[f14676]) ).
cnf(s1425,plain,
( ~ spl0_13
| ~ spl0_78
| ~ spl0_98 ),
inference(sat_conversion,[],[f14722]) ).
cnf(s1428,plain,
( spl0_11
| ~ spl0_244
| spl0_254 ),
inference(sat_conversion,[],[f14824]) ).
cnf(s1432,plain,
( ~ spl0_106
| ~ spl0_189
| ~ spl0_244 ),
inference(sat_conversion,[],[f14832]) ).
cnf(s1436,plain,
( ~ spl0_5
| ~ spl0_191 ),
inference(sat_conversion,[],[f14842]) ).
cnf(s1437,plain,
( ~ spl0_176
| ~ spl0_191 ),
inference(sat_conversion,[],[f14844]) ).
cnf(s1442,plain,
( spl0_17
| spl0_212
| ~ spl0_254 ),
inference(sat_conversion,[],[f14889]) ).
cnf(s1450,plain,
( ~ spl0_65
| spl0_72 ),
inference(sat_conversion,[],[f15025]) ).
cnf(s1456,plain,
( ~ spl0_5
| ~ spl0_170
| ~ spl0_192 ),
inference(sat_conversion,[],[f15127]) ).
cnf(s1460,plain,
( spl0_326
| spl0_342 ),
inference(sat_conversion,[],[f15133]) ).
cnf(s1462,plain,
( ~ spl0_105
| ~ spl0_324
| spl0_326 ),
inference(sat_conversion,[],[f15136]) ).
cnf(s1472,plain,
( ~ spl0_16
| ~ spl0_195
| ~ spl0_213 ),
inference(sat_conversion,[],[f15226]) ).
cnf(s1473,plain,
( ~ spl0_16
| spl0_178
| ~ spl0_213 ),
inference(sat_conversion,[],[f15229]) ).
cnf(s1475,plain,
( ~ spl0_176
| ~ spl0_291
| ~ spl0_327 ),
inference(sat_conversion,[],[f15253]) ).
cnf(s1477,plain,
( ~ spl0_135
| ~ spl0_176
| ~ spl0_291
| spl0_312 ),
inference(sat_conversion,[],[f15255]) ).
cnf(s1478,plain,
( ~ spl0_135
| ~ spl0_170
| spl0_178
| spl0_184
| spl0_244 ),
inference(sat_conversion,[],[f15256]) ).
cnf(s1482,plain,
( spl0_98
| ~ spl0_167
| spl0_177
| spl0_178 ),
inference(sat_conversion,[],[f15262]) ).
cnf(s1483,plain,
( ~ spl0_171
| ~ spl0_178
| ~ spl0_209 ),
inference(sat_conversion,[],[f15263]) ).
cnf(s1488,plain,
( ~ spl0_17
| ~ spl0_254 ),
inference(sat_conversion,[],[f15276]) ).
cnf(s1489,plain,
( ~ spl0_17
| ~ spl0_227 ),
inference(sat_conversion,[],[f15278]) ).
cnf(s1491,plain,
( ~ spl0_86
| spl0_219
| ~ spl0_254 ),
inference(sat_conversion,[],[f15279]) ).
cnf(s1493,plain,
( ~ spl0_178
| spl0_194
| spl0_195 ),
inference(sat_conversion,[],[f15315]) ).
cnf(s1500,plain,
( ~ spl0_84
| ~ spl0_183
| spl0_219 ),
inference(sat_conversion,[],[f15356]) ).
cnf(s1503,plain,
( spl0_11
| ~ spl0_78
| spl0_86 ),
inference(sat_conversion,[],[f15379]) ).
cnf(s1504,plain,
( ~ spl0_78
| spl0_87
| spl0_98
| spl0_104 ),
inference(sat_conversion,[],[f15380]) ).
cnf(s1506,plain,
( ~ spl0_71
| ~ spl0_312
| spl0_331 ),
inference(sat_conversion,[],[f15423]) ).
cnf(s1512,plain,
( spl0_94
| spl0_183
| spl0_247
| ~ spl0_292 ),
inference(sat_conversion,[],[f15429]) ).
cnf(s1514,plain,
( spl0_4
| ~ spl0_13
| spl0_104 ),
inference(sat_conversion,[],[f15431]) ).
cnf(s1515,plain,
( spl0_10
| spl0_82
| spl0_87
| ~ spl0_90 ),
inference(sat_conversion,[],[f15432]) ).
cnf(s1516,plain,
( spl0_94
| ~ spl0_167
| spl0_176
| spl0_177 ),
inference(sat_conversion,[],[f15433]) ).
cnf(s1517,plain,
( ~ spl0_90
| ~ spl0_167
| spl0_176
| ~ spl0_200 ),
inference(sat_conversion,[],[f15435]) ).
cnf(s1522,plain,
( ~ spl0_60
| ~ spl0_186 ),
inference(sat_conversion,[],[f15454]) ).
cnf(s1524,plain,
( ~ spl0_10
| ~ spl0_90 ),
inference(sat_conversion,[],[f15465]) ).
cnf(s1529,plain,
( spl0_17
| spl0_52
| ~ spl0_104 ),
inference(sat_conversion,[],[f15495]) ).
cnf(s1534,plain,
( spl0_65
| ~ spl0_73
| spl0_80 ),
inference(sat_conversion,[],[f15507]) ).
cnf(s1537,plain,
( ~ spl0_21
| spl0_72 ),
inference(sat_conversion,[],[f15544]) ).
cnf(s1541,plain,
( spl0_8
| spl0_183
| ~ spl0_189
| spl0_207 ),
inference(sat_conversion,[],[f15569]) ).
cnf(s1543,plain,
( spl0_176
| spl0_179
| spl0_187 ),
inference(sat_conversion,[],[f15575]) ).
cnf(s1545,plain,
( spl0_75
| ~ spl0_168
| spl0_173 ),
inference(sat_conversion,[],[f15613]) ).
cnf(s1549,plain,
( ~ spl0_183
| spl0_211
| spl0_212 ),
inference(sat_conversion,[],[f15632]) ).
cnf(s1551,plain,
( spl0_173
| spl0_191
| ~ spl0_246 ),
inference(sat_conversion,[],[f15656]) ).
cnf(s1557,plain,
( spl0_203
| spl0_216
| spl0_219 ),
inference(sat_conversion,[],[f15684]) ).
cnf(s1563,plain,
( spl0_322
| ~ spl0_326
| spl0_327 ),
inference(sat_conversion,[],[f15720]) ).
cnf(s1569,plain,
( spl0_72
| spl0_79
| ~ spl0_154 ),
inference(sat_conversion,[],[f15787]) ).
cnf(s1570,plain,
( ~ spl0_170
| ~ spl0_183
| ~ spl0_192 ),
inference(sat_conversion,[],[f15819]) ).
cnf(s1572,plain,
( ~ spl0_170
| spl0_211
| spl0_217 ),
inference(sat_conversion,[],[f15821]) ).
cnf(s1573,plain,
( spl0_11
| ~ spl0_179
| spl0_227 ),
inference(sat_conversion,[],[f15822]) ).
cnf(s1577,plain,
( spl0_10
| spl0_176
| ~ spl0_253
| spl0_258 ),
inference(sat_conversion,[],[f15837]) ).
cnf(s1592,plain,
( ~ spl0_195
| ~ spl0_290
| ~ spl0_325 ),
inference(sat_conversion,[],[f16011]) ).
cnf(s1594,plain,
( ~ spl0_87
| ~ spl0_331
| ~ spl0_342 ),
inference(sat_conversion,[],[f16014]) ).
cnf(s1600,plain,
( ~ spl0_212
| ~ spl0_296
| ~ spl0_326 ),
inference(sat_conversion,[],[f16163]) ).
cnf(s1603,plain,
( ~ spl0_88
| ~ spl0_173
| spl0_186 ),
inference(sat_conversion,[],[f16167]) ).
cnf(s1604,plain,
( ~ spl0_1
| ~ spl0_73
| ~ spl0_168
| spl0_186 ),
inference(sat_conversion,[],[f16168]) ).
cnf(s1607,plain,
( ~ spl0_1
| spl0_13
| ~ spl0_183
| ~ spl0_208 ),
inference(sat_conversion,[],[f16172]) ).
cnf(s1610,plain,
( spl0_8
| spl0_176
| ~ spl0_186
| spl0_199 ),
inference(sat_conversion,[],[f16197]) ).
cnf(s1611,plain,
( spl0_60
| spl0_178
| ~ spl0_186
| spl0_199 ),
inference(sat_conversion,[],[f16199]) ).
cnf(s1612,plain,
( ~ spl0_176
| spl0_191
| spl0_192 ),
inference(sat_conversion,[],[f16214]) ).
cnf(s1616,plain,
( spl0_60
| ~ spl0_189
| spl0_207
| spl0_208 ),
inference(sat_conversion,[],[f16239]) ).
cnf(s1626,plain,
( spl0_17
| spl0_192
| ~ spl0_227 ),
inference(sat_conversion,[],[f16284]) ).
cnf(s1633,plain,
( spl0_82
| spl0_180
| ~ spl0_219
| spl0_247 ),
inference(sat_conversion,[],[f16374]) ).
cnf(s1643,plain,
( ~ spl0_171
| ~ spl0_176
| ~ spl0_212 ),
inference(sat_conversion,[],[f16467]) ).
cnf(s1648,plain,
( ~ spl0_192
| ~ spl0_295
| ~ spl0_326 ),
inference(sat_conversion,[],[f16538]) ).
cnf(s1653,plain,
( ~ spl0_90
| ~ spl0_180
| ~ spl0_219 ),
inference(sat_conversion,[],[f16610]) ).
cnf(s1655,plain,
( ~ spl0_76
| ~ spl0_312
| ~ spl0_338 ),
inference(sat_conversion,[],[f16630]) ).
cnf(s1661,plain,
( ~ spl0_87
| ~ spl0_103
| ~ spl0_113
| spl0_184
| spl0_188 ),
inference(rat,[],[s467,s474]) ).
cnf(s1666,plain,
( ~ spl0_76
| ~ spl0_178
| spl0_200 ),
inference(rat,[],[s440,s456]) ).
cnf(s1669,plain,
( spl0_13
| spl0_179
| spl0_186 ),
inference(rat,[],[s417,s424]) ).
cnf(s1689,plain,
( ~ spl0_52
| ~ spl0_73
| spl0_78 ),
inference(rat,[],[s148,s157]) ).
cnf(s1694,plain,
~ spl0_46,
inference(rat,[],[s102,s96]) ).
cnf(s1697,plain,
( ~ spl0_23
| spl0_35 ),
inference(rat,[],[s87,s1694]) ).
cnf(s1701,plain,
~ spl0_23,
inference(rat,[],[s1697,s69]) ).
cnf(s1702,plain,
~ spl0_49,
inference(rat,[],[s108,s1701]) ).
cnf(s1718,plain,
( ~ spl0_8
| ~ spl0_104
| ~ spl0_2 ),
inference(rat,[],[s916,s676,s1472,s1473,s171,s488,s1423,s1689,s1397,s1048,s943,s1529,s920,s1489,s228,s1285,s692,s1416,s525,s1450,s526,s582]) ).
cnf(s1719,plain,
( ~ spl0_73
| ~ spl0_52
| ~ spl0_24
| ~ spl0_16
| ~ spl0_7
| ~ spl0_104 ),
inference(rat,[],[s213,s1423,s197,s1316,s161,s1689,s157]) ).
cnf(s1720,plain,
( spl0_176
| spl0_73
| ~ spl0_16
| spl0_8
| ~ spl0_2 ),
inference(rat,[],[s577,s1397,s1610,s1230,s224,s692,s1416,s525,s268,s1385,s227,s1039,s1450,s526]) ).
cnf(s1721,plain,
( spl0_17
| ~ spl0_24
| ~ spl0_16
| ~ spl0_104
| ~ spl0_2 ),
inference(rat,[],[s1408,s641,s689,s1197,s1308,s1720,s923,s268,s1719,s1529,s11,s1718,s1385,s227,s1039,s1450,s526]) ).
cnf(s1722,plain,
( ~ spl0_16
| spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s871,s1388,s1666,s1500,s1643,s899,s1423,s163,s250,s1221,s1277,s523,s886,s197,s634,s1493,s1543,s850,s268,s963,s711,s1428,s703,s1573,s697,s548,s549,s1488,s1489,s1721,s1385,s944,s1286,s1416,s227,s1039,s1450,s12,s11,s1718,s202,s510,s1419,s525,s224,s526,s456,s424,s157]) ).
cnf(s1725,plain,
( spl0_176
| spl0_73
| spl0_17
| spl0_8
| spl0_11
| ~ spl0_2 ),
inference(rat,[],[s834,s683,s1503,s899,s920,s1626,s573,s1397,s1573,s1610,s1230,s1543,s224,s692,s1416,s525,s1450,s526,s194,s456,s424]) ).
cnf(s1726,plain,
( spl0_73
| ~ spl0_52
| spl0_17
| spl0_8
| spl0_11
| ~ spl0_2 ),
inference(rat,[],[s875,s1197,s1503,s888,s929,s920,s899,s1408,s703,s1410,s689,s1308,s1725,s194,s1286,s224,s1416,s525,s227,s1039,s1450,s526,s157,s456]) ).
cnf(s1727,plain,
( spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1610,s1308,s573,s1482,s899,s888,s1422,s1423,s171,s1503,s1425,s1689,s1726,s587,s177,s1722,s1718,s202,s510,s12,s1419,s224,s692,s1416,s525,s1450,s526,s456]) ).
cnf(s1728,plain,
( ~ spl0_104
| ~ spl0_16
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s871,s1388,s1396,s1483,s1666,s166,s667,s911,s899,s1423,s536,s803,s523,s886,s972,s1493,s850,s268,s963,s1102,s703,s697,s548,s1488,s1489,s1721,s1718,s1286,s224,s1416,s525,s944,s1385,s227,s1039,s1450,s526,s456]) ).
cnf(s1729,plain,
( ~ spl0_200
| ~ spl0_77
| ~ spl0_2 ),
inference(rat,[],[s1048,s943,s692,s1416,s525,s1450,s526]) ).
cnf(s1730,plain,
( spl0_73
| ~ spl0_16
| ~ spl0_2 ),
inference(rat,[],[s1720,s1197,s544,s929,s1729,s923,s548,s268,s194,s1416,s525,s1385,s227,s1039,s1450,s526,s456]) ).
cnf(s1731,plain,
( ~ spl0_77
| ~ spl0_167
| ~ spl0_16
| ~ spl0_2 ),
inference(rat,[],[s1197,s923,s548,s929,s1516,s963,s1729,s253,s886,s1039,s692,s1416,s525,s1450,s526,s456]) ).
cnf(s1732,plain,
( spl0_188
| ~ spl0_200
| ~ spl0_71
| ~ spl0_167
| ~ spl0_178 ),
inference(rat,[],[s871,s1388,s1483,s1396,s667,s911,s536,s803,s456]) ).
cnf(s1733,plain,
( ~ spl0_178
| ~ spl0_16
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s887,s901,s963,s228,s1500,s1491,s1388,s871,s1643,s1221,s1277,s1102,s1037,s972,s1732,s958,s1666,s166,s255,s1423,s238,s1731,s899,s523,s674,s1450,s1286,s224,s526,s1416,s525,s1436,s1727,s946,s944,s202,s1728,s1730,s456]) ).
cnf(s1734,plain,
( ~ spl0_200
| ~ spl0_192
| spl0_213
| spl0_178
| ~ spl0_2 ),
inference(rat,[],[s683,s899,s1401,s1391,s692,s1416,s525,s1450,s526,s456]) ).
cnf(s1735,plain,
( ~ spl0_16
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s163,s250,s887,s963,s228,s1197,s708,s929,s1734,s1300,s838,s798,s1473,s1611,s1733,s686,s946,s944,s1416,s525,s1039,s1450,s526,s1436,s1727,s456]) ).
cnf(s1736,plain,
( ~ spl0_200
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s646,s1396,s774,s536,s496,s867,s1611,s1456,s1308,s1318,s1543,s175,s1103,s1524,s1503,s171,s213,s166,s1689,s1423,s1397,s1729,s943,s1039,s692,s1416,s525,s1450,s526,s1436,s1727,s587,s580,s1735,s402,s456,s424,s157]) ).
cnf(s1737,plain,
( ~ spl0_73
| ~ spl0_11
| ~ spl0_208
| ~ spl0_52
| ~ spl0_13 ),
inference(rat,[],[s166,s1396,s1423,s655,s511,s1689,s1222]) ).
cnf(s1738,plain,
( ~ spl0_176
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s250,s875,s514,s522,s194,s1737,s1428,s965,s774,s667,s911,s536,s803,s496,s867,s1456,s1611,s1197,s1300,s1308,s224,s1416,s525,s1039,s1450,s526,s1436,s1727,s587,s580,s1735,s929,s1736,s157,s402,s456]) ).
cnf(s1739,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1503,s1689,s708,s1726,s1573,s226,s1219,s1543,s1738,s1736,s1718,s587,s177,s580,s1735,s526,s1416,s525,s424]) ).
cnf(s1740,plain,
~ spl0_2,
inference(rat,[],[s1503,s171,s20,s104,s1689,s1423,s587,s2,s142,s152,s1379,s1514,s1739,s224,s1450,s526,s1702]) ).
cnf(s1741,plain,
spl0_1,
inference(rat,[],[s524,s1740]) ).
cnf(s1742,plain,
( ~ spl0_291
| ~ spl0_135
| ~ spl0_178
| ~ spl0_176 ),
inference(rat,[],[s1339,s1360,s1477,s1083]) ).
cnf(s1743,plain,
( ~ spl0_178
| ~ spl0_71
| ~ spl0_4
| ~ spl0_200
| ~ spl0_176
| ~ spl0_16
| ~ spl0_73 ),
inference(rat,[],[s1097,s824,s1336,s1094,s1506,s1101,s1389,s821,s1742,s1388,s871,s269,s1643,s1488,s1221,s1277,s1102,s1037,s972,s1732,s899,s523,s674,s1437,s201,s946,s944,s456,s424]) ).
cnf(s1744,plain,
( ~ spl0_188
| ~ spl0_199
| ~ spl0_105
| ~ spl0_192 ),
inference(rat,[],[s867,s1570,s496,s1037,s456]) ).
cnf(s1745,plain,
( ~ spl0_167
| spl0_8
| ~ spl0_90
| ~ spl0_219
| spl0_211
| spl0_17
| spl0_178
| spl0_75
| ~ spl0_200
| ~ spl0_176
| ~ spl0_16 ),
inference(rat,[],[s1512,s1146,s822,s981,s1356,s1541,s836,s1102,s1031,s1549,s1442,s1643,s871,s221,s1388,s1391,s424,s456]) ).
cnf(s1746,plain,
( spl0_8
| spl0_86
| spl0_10
| ~ spl0_219
| spl0_211
| ~ spl0_208
| ~ spl0_135
| spl0_17
| spl0_178
| spl0_75
| ~ spl0_200
| ~ spl0_176
| ~ spl0_16 ),
inference(rat,[],[s1478,s867,s1246,s646,s887,s1401,s1515,s683,s899,s1745,s1300,s1437,s1473,s234,s963,s402,s456,s1741,s157]) ).
cnf(s1747,plain,
( spl0_212
| ~ spl0_88
| ~ spl0_8
| ~ spl0_90
| spl0_211
| spl0_17
| spl0_75 ),
inference(rat,[],[s1512,s1146,s822,s981,s1356,s836,s1031,s1549,s493,s1442,s424]) ).
cnf(s1748,plain,
( spl0_86
| spl0_10
| ~ spl0_219
| spl0_211
| ~ spl0_208
| ~ spl0_135
| spl0_17
| spl0_178
| spl0_75
| ~ spl0_200
| ~ spl0_176
| ~ spl0_16 ),
inference(rat,[],[s867,s1478,s1246,s646,s1401,s1515,s683,s899,s1388,s871,s1643,s1747,s221,s228,s1746,s234,s1300,s1437,s1473,s456,s402,s1741,s157]) ).
cnf(s1749,plain,
( ~ spl0_312
| ~ spl0_247
| ~ spl0_209
| ~ spl0_76 ),
inference(rat,[],[s824,s1265,s1183,s1655,s456]) ).
cnf(s1750,plain,
( spl0_312
| ~ spl0_135
| ~ spl0_195
| ~ spl0_4
| ~ spl0_176 ),
inference(rat,[],[s1592,s821,s1024,s1477,s1336,s424]) ).
cnf(s1751,plain,
( spl0_86
| ~ spl0_219
| spl0_211
| ~ spl0_208
| ~ spl0_135
| spl0_17
| spl0_178
| spl0_75
| ~ spl0_200
| ~ spl0_176
| ~ spl0_16 ),
inference(rat,[],[s1524,s1748,s234,s157]) ).
cnf(s1752,plain,
( spl0_77
| ~ spl0_4
| ~ spl0_200
| ~ spl0_176
| ~ spl0_16
| ~ spl0_73 ),
inference(rat,[],[s1460,s1390,s1563,s1549,s510,s1475,s1643,s74,s202,s821,s871,s1198,s1201,s1389,s1388,s1391,s877,s705,s923,s1751,s824,s1183,s1360,s1506,s1750,s1396,s667,s911,s536,s803,s1744,s269,s1489,s697,s657,s850,s689,s1743,s166,s255,s1423,s238,s1300,s1437,s591,s201,s946,s944,s424,s456,s1741]) ).
cnf(s1753,plain,
( ~ spl0_4
| ~ spl0_200
| ~ spl0_176
| ~ spl0_16
| ~ spl0_73 ),
inference(rat,[],[s1743,s1410,s166,s899,s1422,s683,s255,s834,s951,s1316,s1752,s944,s591,s1300,s1437,s456,s157]) ).
cnf(s1754,plain,
( spl0_331
| ~ spl0_207
| spl0_219
| ~ spl0_71 ),
inference(rat,[],[s1097,s824,s1336,s1094,s1506,s1101,s456]) ).
cnf(s1755,plain,
( spl0_77
| ~ spl0_91
| ~ spl0_87
| ~ spl0_11
| ~ spl0_71
| ~ spl0_199
| spl0_60
| ~ spl0_78
| ~ spl0_103
| ~ spl0_200
| ~ spl0_176
| ~ spl0_73 ),
inference(rat,[],[s1563,s1361,s1475,s1460,s821,s1594,s1389,s1754,s877,s1616,s843,s1396,s1142,s775,s655,s634,s1570,s867,s496,s1661,s275,s255,s1423,s238,s1300,s1437,s424,s456,s474,s402]) ).
cnf(s1756,plain,
( ~ spl0_200
| ~ spl0_176
| ~ spl0_16
| ~ spl0_73 ),
inference(rat,[],[s655,s1557,s1570,s843,s867,s589,s888,s496,s899,s1661,s573,s256,s1755,s183,s1515,s1503,s963,s117,s527,s923,s16,s1489,s76,s838,s1198,s832,s1537,s1611,s692,s1522,s1411,s1401,s834,s1534,s1473,s74,s164,s207,s224,s508,s1379,s1753,s1300,s1437,s474,s456,s402,s1741,s157]) ).
cnf(s1757,plain,
( ~ spl0_178
| ~ spl0_176
| ~ spl0_16
| ~ spl0_73 ),
inference(rat,[],[s951,s944,s255,s1379,s1422,s1423,s508,s1666,s1756,s157,s1741]) ).
cnf(s1758,plain,
( ~ spl0_4
| ~ spl0_78
| ~ spl0_76
| ~ spl0_195
| spl0_200
| ~ spl0_176
| ~ spl0_16 ),
inference(rat,[],[s1749,s645,s1653,s1750,s1396,s667,s911,s269,s536,s803,s234,s1489,s1744,s577,s838,s946,s657,s201,s944,s1300,s1437,s166,s157]) ).
cnf(s1759,plain,
( spl0_77
| ~ spl0_176
| ~ spl0_16
| ~ spl0_73 ),
inference(rat,[],[s655,s1557,s1570,s1118,s867,s496,s1661,s1515,s1524,s1503,s234,s577,s1611,s1522,s1411,s74,s207,s1379,s1758,s901,s875,s275,s255,s1423,s238,s1300,s1437,s1197,s929,s1756,s689,s1757,s474,s456,s402,s157,s1741]) ).
cnf(s1760,plain,
( ~ spl0_4
| ~ spl0_77
| ~ spl0_195
| spl0_200
| ~ spl0_16 ),
inference(rat,[],[s963,s577,s1033,s657]) ).
cnf(s1761,plain,
( ~ spl0_176
| ~ spl0_16
| ~ spl0_73 ),
inference(rat,[],[s655,s1557,s1570,s1118,s867,s496,s1661,s256,s1515,s1524,s1503,s963,s234,s577,s1611,s1522,s1411,s857,s74,s164,s207,s152,s1379,s1760,s1759,s689,s1757,s1756,s1300,s1437,s474,s456,s402,s1741,s157]) ).
cnf(s1762,plain,
( ~ spl0_312
| ~ spl0_71
| ~ spl0_167
| ~ spl0_178
| ~ spl0_200 ),
inference(rat,[],[s1083,s821,s1339,s1389,s1360,s1506,s424]) ).
cnf(s1763,plain,
( ~ spl0_4
| ~ spl0_324
| ~ spl0_188
| spl0_104 ),
inference(rat,[],[s824,s1600,s1097,s1462,s1221,s1277,s1037,s972,s199,s456]) ).
cnf(s1764,plain,
( ~ spl0_76
| ~ spl0_178
| ~ spl0_200
| ~ spl0_16
| ~ spl0_73 ),
inference(rat,[],[s1411,s1626,s546,s1573,s1504,s380,s834,s74,s164,s1379,s1763,s1336,s1762,s1732,s213,s166,s1047,s1543,s549,s711,s1517,s899,s523,s674,s676,s1761,s1741,s157,s456,s424]) ).
cnf(s1765,plain,
( ~ spl0_178
| ~ spl0_200
| ~ spl0_16
| ~ spl0_73 ),
inference(rat,[],[s1198,s74,s152,s1379,s944,s951,s255,s1422,s1423,s1764,s923,s549,s234,s711,s1517,s899,s523,s674,s676,s1761,s157,s456]) ).
cnf(s1766,plain,
( ~ spl0_200
| ~ spl0_16
| ~ spl0_73 ),
inference(rat,[],[s692,s1198,s1411,s923,s1626,s1489,s1503,s1573,s1103,s1401,s834,s74,s164,s1379,s944,s1315,s689,s1473,s1765,s1543,s1761,s1741,s424]) ).
cnf(s1767,plain,
( ~ spl0_178
| ~ spl0_16
| ~ spl0_73 ),
inference(rat,[],[s944,s951,s152,s255,s832,s1422,s1423,s441,s1666,s1766,s157,s1741]) ).
cnf(s1768,plain,
( spl0_86
| ~ spl0_113
| ~ spl0_16
| ~ spl0_73 ),
inference(rat,[],[s655,s1557,s1570,s1118,s867,s1626,s1489,s496,s838,s1611,s1522,s1604,s1661,s899,s173,s380,s1524,s1503,s234,s1766,s207,s834,s164,s1379,s944,s1315,s689,s1767,s1543,s1761,s474,s456,s1741,s402,s157,s424]) ).
cnf(s1769,plain,
( ~ spl0_86
| ~ spl0_16
| ~ spl0_73 ),
inference(rat,[],[s1604,s1611,s899,s1039,s380,s1198,s1573,s923,s920,s577,s548,s1766,s164,s74,s1379,s944,s1315,s689,s1767,s1543,s1761,s1741,s456,s424]) ).
cnf(s1770,plain,
( ~ spl0_16
| ~ spl0_73 ),
inference(rat,[],[s235,s219,s1768,s963,s234,s1769,s834,s164,s1379,s944,s1315,s689,s1767,s1543,s1761,s424,s157,s1741]) ).
cnf(s1771,plain,
( ~ spl0_178
| ~ spl0_73 ),
inference(rat,[],[s1048,s943,s1423,s692,s1201,s920,s171,s921,s1503,s1573,s380,s899,s1543,s523,s1308,s674,s676,s1689,s161,s587,s580,s1770,s1741,s456,s424]) ).
cnf(s1772,plain,
( spl0_106
| ~ spl0_91
| ~ spl0_199
| spl0_77
| ~ spl0_200
| ~ spl0_73 ),
inference(rat,[],[s1522,s1755,s1669,s200,s1206,s166,s1515,s161,s1524,s179,s1543,s1103,s1503,s171,s1423,s1689,s587,s580,s1770,s1741,s424,s157]) ).
cnf(s1773,plain,
( ~ spl0_244
| ~ spl0_106
| ~ spl0_91 ),
inference(rat,[],[s1432,s775,s474]) ).
cnf(s1774,plain,
( spl0_244
| ~ spl0_199
| ~ spl0_192
| ~ spl0_52 ),
inference(rat,[],[s496,s867,s536,s1570,s774,s634,s456,s402]) ).
cnf(s1775,plain,
( ~ spl0_4
| ~ spl0_192
| ~ spl0_87
| ~ spl0_71
| ~ spl0_73 ),
inference(rat,[],[s1160,s823,s1070,s1648,s1460,s1594,s1754,s972,s536,s1396,s646,s1774,s657,s587,s580,s1770,s689,s1771,s424]) ).
cnf(s1776,plain,
( ~ spl0_186
| spl0_199
| spl0_178 ),
inference(rat,[],[s1611,s1522]) ).
cnf(s1777,plain,
( spl0_186
| spl0_179
| ~ spl0_90
| ~ spl0_73 ),
inference(rat,[],[s1482,s1425,s899,s691,s1669,s1604,s921,s1689,s587,s580,s1770,s1771,s456,s1741]) ).
cnf(s1778,plain,
( spl0_77
| ~ spl0_200
| ~ spl0_73 ),
inference(rat,[],[s1773,s1772,s183,s1534,s1450,s1391,s877,s843,s867,s496,s536,s1396,s1142,s646,s1774,s1776,s1777,s1300,s1437,s1543,s1103,s1515,s1524,s1503,s179,s171,s166,s255,s1423,s238,s1689,s161,s587,s580,s1770,s1771,s456,s424,s157]) ).
cnf(s1779,plain,
( ~ spl0_4
| ~ spl0_200
| ~ spl0_73 ),
inference(rat,[],[s1318,s1775,s1103,s1515,s1524,s1503,s179,s171,s166,s1422,s888,s433,s899,s792,s1410,s1033,s591,s1689,s161,s587,s580,s1770,s689,s1771,s1778,s424,s157,s456]) ).
cnf(s1780,plain,
( ~ spl0_200
| ~ spl0_73 ),
inference(rat,[],[s496,s867,s536,s843,s589,s888,s1396,s1142,s899,s646,s573,s1774,s1776,s1300,s1437,s1777,s1543,s1103,s1515,s881,s1503,s234,s126,s1201,s832,s1450,s1569,s152,s1779,s1778,s1689,s161,s587,s580,s1770,s1771,s456,s424,s157,s1741]) ).
cnf(s1781,plain,
( ~ spl0_312
| ~ spl0_87
| ~ spl0_71
| ~ spl0_52 ),
inference(rat,[],[s1594,s1181,s1506,s1004]) ).
cnf(s1783,plain,
( spl0_186
| ~ spl0_192
| ~ spl0_76
| ~ spl0_73 ),
inference(rat,[],[s1192,s74,s1777,s1411,s1771,s179,s1503,s171,s1689,s587,s580,s1770,s157]) ).
cnf(s1784,plain,
( ~ spl0_192
| ~ spl0_76
| ~ spl0_73 ),
inference(rat,[],[s1594,s1460,s1101,s1648,s1165,s823,s1160,s1776,s1783,s1771,s1780,s1336,s1781,s1515,s161,s1524,s179,s166,s587,s580,s1770,s424,s157]) ).
cnf(s1785,plain,
( ~ spl0_76
| ~ spl0_73 ),
inference(rat,[],[s824,s1600,s1265,s1221,s1277,s1460,s1633,s655,s1653,s1594,s1557,s1101,s1118,s1165,s867,s823,s496,s1160,s1776,s1604,s1661,s899,s207,s380,s1192,s1318,s1784,s1336,s1781,s1515,s1524,s1503,s179,s171,s166,s275,s1689,s161,s587,s580,s1770,s1771,s679,s1780,s456,s474,s424,s1741,s402,s157]) ).
cnf(s1786,plain,
~ spl0_73,
inference(rat,[],[s221,s1603,s152,s1776,s591,s573,s1410,s899,s888,s1422,s1423,s1785,s1551,s679,s929,s1780,s1771,s456]) ).
cnf(s1788,plain,
spl0_77,
inference(rat,[],[s194,s1786]) ).
cnf(s1790,plain,
( spl0_4
| ~ spl0_16
| ~ spl0_200
| ~ spl0_178 ),
inference(rat,[],[s923,s1489,s1503,s1573,s1103,s1198,s1543,s857,s74,s508,s142,s1379,s424,s157,s1741,s1786]) ).
cnf(s1791,plain,
( ~ spl0_186
| spl0_199
| spl0_176
| spl0_192
| spl0_17 ),
inference(rat,[],[s1610,s541]) ).
cnf(s1793,plain,
( ~ spl0_188
| ~ spl0_84
| ~ spl0_105
| ~ spl0_114 ),
inference(rat,[],[s1500,s1037,s1276,s1786]) ).
cnf(s1795,plain,
( ~ spl0_167
| ~ spl0_16
| ~ spl0_200
| ~ spl0_178 ),
inference(rat,[],[s1390,s824,s1460,s1094,s1266,s1101,s510,s1389,s202,s821,s921,s1742,s697,s1669,s1543,s695,s389,s1399,s692,s1428,s1151,s1397,s634,s1031,s943,s1500,s1491,s832,s1388,s1732,s269,s548,s268,s201,s867,s672,s674,s676,s871,s1483,s667,s536,s911,s803,s1793,s875,s255,s951,s1316,s946,s944,s591,s1790,s456,s424,s1741,s1786,s1788,s157]) ).
cnf(s1796,plain,
( ~ spl0_16
| ~ spl0_200
| ~ spl0_178 ),
inference(rat,[],[s1048,s1230,s1243,s1607,s389,s1573,s1318,s1612,s705,s683,s877,s899,s1795,s867,s672,s536,s1793,s875,s255,s834,s268,s951,s1316,s946,s201,s944,s591,s1790,s674,s676,s1788,s1741,s424,s456,s157,s1786]) ).
cnf(s1798,plain,
( spl0_219
| ~ spl0_106
| ~ spl0_256
| ~ spl0_84
| ~ spl0_11
| ~ spl0_179 ),
inference(rat,[],[s1572,s699,s867,s1432,s389,s634,s1500,s910,s456]) ).
cnf(s1799,plain,
( ~ spl0_192
| ~ spl0_11
| ~ spl0_253
| ~ spl0_74
| spl0_176
| ~ spl0_104
| ~ spl0_200
| ~ spl0_194 ),
inference(rat,[],[s672,s867,s536,s1241,s653,s1798,s1206,s74,s1411,s860,s692,s1201,s1516,s234,s983,s1517,s899,s683,s834,s875,s255,s948,s1103,s1543,s456,s1741,s157,s424]) ).
cnf(s1801,plain,
( spl0_324
| ~ spl0_103
| ~ spl0_258
| ~ spl0_194 ),
inference(rat,[],[s823,s1020,s1079,s424,s1004]) ).
cnf(s1802,plain,
( ~ spl0_188
| spl0_192
| ~ spl0_84
| spl0_75
| ~ spl0_258
| ~ spl0_11
| ~ spl0_4
| spl0_176
| spl0_17
| ~ spl0_194 ),
inference(rat,[],[s1094,s824,s1101,s1097,s1403,s1801,s200,s1798,s860,s1791,s573,s877,s843,s867,s389,s1500,s1142,s972,s1276,s1543,s591,s456,s1786,s1741,s1788,s424]) ).
cnf(s1803,plain,
( ~ spl0_4
| ~ spl0_200
| ~ spl0_178 ),
inference(rat,[],[s389,s867,s1222,s672,s536,s1802,s1799,s875,s255,s948,s1103,s1577,s878,s1573,s697,s916,s1408,s1033,s591,s674,s676,s177,s582,s1543,s1308,s587,s580,s1796,s456,s157,s1786,s1788,s424]) ).
cnf(s1804,plain,
( ~ spl0_200
| ~ spl0_178 ),
inference(rat,[],[s541,s1603,s683,s877,s899,s250,s1517,s1515,s881,s840,s234,s126,s1201,s221,s1450,s1569,s142,s1803,s1047,s1543,s1308,s587,s177,s580,s1796,s424,s1786,s1741,s157,s1788,s456]) ).
cnf(s1805,plain,
( ~ spl0_16
| spl0_84
| ~ spl0_72 ),
inference(rat,[],[s548,s527,s963,s205,s152,s886,s1039,s157,s1786,s1788]) ).
cnf(s1806,plain,
( ~ spl0_176
| ~ spl0_178 ),
inference(rat,[],[s587,s580,s1805,s1197,s1308,s929,s832,s441,s1804,s1741,s456]) ).
cnf(s1807,plain,
( ~ spl0_331
| ~ spl0_219
| ~ spl0_208
| ~ spl0_72 ),
inference(rat,[],[s825,s1365,s1191,s1404,s1340,s1179,s1171,s1403,s886,s1039,s591,s152,s456,s1786,s1788]) ).
cnf(s1808,plain,
( ~ spl0_16
| ~ spl0_178 ),
inference(rat,[],[s1088,s821,s1266,s1156,s1101,s1807,s1500,s389,s867,s672,s536,s1573,s1793,s920,s946,s1805,s963,s944,s674,s676,s929,s886,s1039,s591,s152,s832,s441,s1804,s1543,s1806,s424,s456,s1788,s1741]) ).
cnf(s1809,plain,
( ~ spl0_188
| ~ spl0_178 ),
inference(rat,[],[s1094,s824,s1101,s1097,s1403,s1801,s207,s514,s1030,s1221,s389,s1577,s878,s1573,s697,s916,s657,s496,s867,s822,s1118,s826,s910,s1142,s972,s1276,s674,s676,s591,s152,s832,s441,s1804,s1543,s1806,s582,s580,s1808,s456,s1786,s1741,s1788,s424]) ).
cnf(s1810,plain,
( ~ spl0_178
| spl0_191 ),
inference(rat,[],[s1428,s389,s867,s965,s774,s1222,s672,s667,s911,s536,s803,s1809,s1529,s177,s580,s1808,s1543,s1806,s674,s424,s402,s456]) ).
cnf(s1811,plain,
~ spl0_178,
inference(rat,[],[s1810,s676]) ).
cnf(s1812,plain,
spl0_195,
inference(rat,[],[s689,s1811]) ).
cnf(s1813,plain,
( ~ spl0_192
| spl0_84
| spl0_19
| ~ spl0_78
| ~ spl0_20
| ~ spl0_103
| ~ spl0_16 ),
inference(rat,[],[s1557,s655,s843,s1570,s867,s496,s1661,s256,s1503,s1515,s206,s117,s589,s683,s888,s923,s527,s16,s899,s1489,s573,s838,s1776,s1522,s1411,s474,s456,s402,s1741,s1788,s157,s1811]) ).
cnf(s1814,plain,
( ~ spl0_176
| spl0_192 ),
inference(rat,[],[s1300,s1437]) ).
cnf(s1815,plain,
( ~ spl0_16
| ~ spl0_200 ),
inference(rat,[],[s1626,s1489,s1573,s1103,s1543,s1814,s1813,s1198,s76,s857,s74,s207,s1379,s1537,s142,s591,s1408,s424,s157,s1741,s1786,s1812]) ).
cnf(s1816,plain,
( ~ spl0_13
| spl0_84
| ~ spl0_11 ),
inference(rat,[],[s250,s875,s514,s511,s157,s1788]) ).
cnf(s1817,plain,
( spl0_13
| ~ spl0_188
| spl0_179
| ~ spl0_192
| ~ spl0_200 ),
inference(rat,[],[s843,s877,s1142,s888,s867,s646,s899,s496,s1774,s573,s1776,s173,s1669,s857,s1529,s177,s1201,s580,s881,s126,s1815,s1450,s1569,s142,s591,s1408,s456,s1788,s1811,s157,s1786,s1812,s1741]) ).
cnf(s1819,plain,
( ~ spl0_183
| ~ spl0_167
| ~ spl0_84
| ~ spl0_176
| ~ spl0_200 ),
inference(rat,[],[s871,s1388,s1643,s1500,s1221,s1277,s456]) ).
cnf(s1820,plain,
( ~ spl0_13
| ~ spl0_11
| ~ spl0_176
| ~ spl0_200 ),
inference(rat,[],[s822,s942,s981,s854,s1356,s1432,s634,s1819,s983,s697,s921,s1776,s573,s899,s683,s250,s1816,s514,s1206,s221,s580,s1200,s126,s1815,s1450,s142,s591,s1408,s1814,s424,s402,s1741,s1811,s1788,s456,s1786,s1812,s157]) ).
cnf(s1821,plain,
( spl0_188
| ~ spl0_87
| ~ spl0_103
| ~ spl0_71 ),
inference(rat,[],[s1396,s646,s637,s536,s402]) ).
cnf(s1822,plain,
( ~ spl0_11
| ~ spl0_176
| ~ spl0_200 ),
inference(rat,[],[s1817,s1103,s1821,s173,s857,s207,s1820,s832,s1201,s580,s881,s126,s1815,s1450,s1569,s142,s591,s1408,s1814,s157,s1741,s1786,s1812]) ).
cnf(s1823,plain,
( ~ spl0_176
| ~ spl0_200 ),
inference(rat,[],[s871,s995,s1643,s1048,s962,s1442,s691,s1428,s921,s634,s1776,s1819,s573,s899,s875,s683,s255,s834,s948,s1503,s1822,s1814,s177,s1201,s580,s1200,s126,s1815,s1450,s142,s591,s1408,s456,s1788,s1741,s1811,s157,s1786,s1812]) ).
cnf(s1824,plain,
~ spl0_200,
inference(rat,[],[s1603,s541,s1545,s683,s888,s1515,s853,s899,s1047,s1517,s1543,s1823,s881,s1200,s126,s177,s1815,s221,s1450,s1569,s142,s591,s1408,s1788,s157,s456,s424,s1786,s1812]) ).
cnf(s1826,plain,
spl0_246,
inference(rat,[],[s929,s456,s1824]) ).
cnf(s1827,plain,
~ spl0_191,
inference(rat,[],[s679,s1824]) ).
cnf(s1828,plain,
spl0_173,
inference(rat,[],[s1551,s1827,s1826]) ).
cnf(s1829,plain,
( ~ spl0_16
| spl0_13
| ~ spl0_176 ),
inference(rat,[],[s76,s1537,s1813,s1805,s207,s875,s888,s899,s573,s1776,s1411,s74,s1814,s1197,s1826,s157,s456,s1788,s1811,s1741]) ).
cnf(s1830,plain,
( ~ spl0_331
| ~ spl0_114
| ~ spl0_87
| ~ spl0_52 ),
inference(rat,[],[s1460,s1070,s1594,s1403,s1786]) ).
cnf(s1831,plain,
( spl0_13
| ~ spl0_176 ),
inference(rat,[],[s1406,s1357,s1376,s824,s821,s1094,s1156,s1101,s1830,s591,s1031,s152,s965,s832,s1222,s667,s1821,s536,s496,s867,s871,s1118,s640,s910,s1142,s646,s1515,s1524,s1774,s527,s1529,s177,s580,s1829,s683,s899,s573,s1776,s1411,s74,s207,s1814,s1197,s456,s424,s1826,s1788,s1741,s1824,s157,s1811]) ).
cnf(s1832,plain,
( ~ spl0_16
| ~ spl0_13 ),
inference(rat,[],[s1379,s1760,s1812,s1824,s1788]) ).
cnf(s1833,plain,
( ~ spl0_13
| spl0_84 ),
inference(rat,[],[s255,s875,s948,s1503,s923,s177,s1832,s1816,s157]) ).
cnf(s1834,plain,
~ spl0_176,
inference(rat,[],[s1833,s1831,s1197,s1826]) ).
cnf(s1835,plain,
spl0_179,
inference(rat,[],[s1543,s424,s1834]) ).
cnf(s1840,plain,
( ~ spl0_199
| spl0_192
| ~ spl0_16 ),
inference(rat,[],[s1489,s838,s574]) ).
cnf(s1841,plain,
( ~ spl0_16
| spl0_13 ),
inference(rat,[],[s1840,s1776,s1813,s1603,s76,s1198,s857,s221,s1537,s142,s1760,s207,s74,s1811,s1828,s157,s1786,s1812,s1824,s1788,s1741]) ).
cnf(s1842,plain,
( ~ spl0_169
| ~ spl0_199
| ~ spl0_11 ),
inference(rat,[],[s1222,s536,s389,s496,s1529,s580,s177,s1841,s1192,s1835,s1811]) ).
cnf(s1843,plain,
( ~ spl0_192
| ~ spl0_11 ),
inference(rat,[],[s655,s1557,s1570,s1118,s867,s1842,s834,s683,s899,s573,s1776,s1411,s74,s1192,s474,s1824,s456,s1788,s1811,s1835]) ).
cnf(s1844,plain,
( ~ spl0_186
| ~ spl0_78
| ~ spl0_11 ),
inference(rat,[],[s822,s826,s830,s1616,s1572,s1222,s1277,s648,s655,s1557,s1118,s867,s899,s1842,s573,s1776,s1522,s1529,s580,s177,s1841,s218,s1192,s424,s1788,s402,s474,s1824,s456,s1811,s1835]) ).
cnf(s1845,plain,
( ~ spl0_78
| spl0_86
| ~ spl0_11 ),
inference(rat,[],[s1020,s1160,s823,s1165,s1101,s1830,s657,s591,s152,s221,s1603,s1844,s173,s207,s1529,s580,s1577,s878,s820,s1843,s177,s1841,s1192,s1004,s424,s1824,s1812,s1788,s1828,s1811,s1835,s1834,s1741]) ).
cnf(s1846,plain,
( spl0_84
| ~ spl0_11 ),
inference(rat,[],[s255,s875,s948,s1845,s923,s177,s1841,s1192,s157,s1811,s1835]) ).
cnf(s1847,plain,
~ spl0_11,
inference(rat,[],[s1088,s821,s1266,s1156,s1101,s1807,s536,s653,s1557,s1118,s867,s1842,s657,s886,s152,s1039,s1198,s1846,s74,s1192,s1835,s424,s1826,s474,s1824,s456,s1812,s1788,s1811]) ).
cnf(s1849,plain,
spl0_227,
inference(rat,[],[s1573,s1835,s1847]) ).
cnf(s1850,plain,
~ spl0_17,
inference(rat,[],[s1489,s1849]) ).
cnf(s1852,plain,
spl0_192,
inference(rat,[],[s1626,s1850,s1849]) ).
cnf(s1853,plain,
~ spl0_86,
inference(rat,[],[s708,s1824,s1849]) ).
cnf(s1857,plain,
~ spl0_78,
inference(rat,[],[s1503,s1847,s1853]) ).
cnf(s1860,plain,
spl0_82,
inference(rat,[],[s834,s1857]) ).
cnf(s1866,plain,
~ spl0_168,
inference(rat,[],[s683,s1852,s1860]) ).
cnf(s1868,plain,
spl0_167,
inference(rat,[],[s899,s456,s1866]) ).
cnf(s1869,plain,
~ spl0_114,
inference(rat,[],[s1410,s1788,s1811,s1868]) ).
cnf(s1871,plain,
~ spl0_199,
inference(rat,[],[s573,s1788,s1868]) ).
cnf(s1876,plain,
~ spl0_4,
inference(rat,[],[s591,s1869]) ).
cnf(s1877,plain,
~ spl0_186,
inference(rat,[],[s1776,s1811,s1871]) ).
cnf(s1878,plain,
~ spl0_72,
inference(rat,[],[s142,s1786,s1876]) ).
cnf(s1885,plain,
~ spl0_88,
inference(rat,[],[s1603,s1828,s1877]) ).
cnf(s1890,plain,
$false,
inference(rat,[],[s221,s1885,s1878]) ).
thf(f16634,plain,
$false,
inference(avatar_sat_refutation,[],[s1890]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA135^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 % Computer : n026.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Tue Sep 29 19:05:43 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running higher-order theorem proving
% 0.25/0.31 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
% 0.60/0.54 % (1031074)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.60/0.54 % (1031079)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1771545037:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.60/0.54 % (1031085)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.60/0.54 % (1031085)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
% 0.60/0.54 % (1031080)lrs+10_16_si=on:nwc=1.5:random_seed=4229427906:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.60/0.54 % (1031081)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3771513964:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.60/0.54 % (1031083)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1278964347:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.60/0.54 % (1031082)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=2844980977: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)
% 0.60/0.54 % (1031084)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2868363360:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.60/0.54 % (1031085)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=3945345956:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.60/0.54 % (1031081)Instruction limit reached!
% 0.60/0.54 % (1031081)------------------------------
% 0.60/0.54 % (1031081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.54 % (1031081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.54 % (1031081)CaDiCaL version: 2.1.3
% 0.60/0.54 % (1031081)Termination reason: Instruction limit
% 0.60/0.54 % (1031081)Termination phase: Saturation
% 0.60/0.54 % (1031081)Time elapsed: 0.004 s
% 0.60/0.54 % (1031081)Peak memory usage: 12 MB
% 0.60/0.54 % (1031081)Instructions burned: 3 (million)
% 0.60/0.54 % (1031080)Instruction limit reached!
% 0.60/0.54 % (1031080)------------------------------
% 0.60/0.54 % (1031080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.54 % (1031080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.54 % (1031080)CaDiCaL version: 2.1.3
% 0.60/0.54 % (1031080)Termination reason: Instruction limit
% 0.60/0.54 % (1031080)Termination phase: Saturation
% 0.60/0.54 % (1031080)Time elapsed: 0.015 s
% 0.60/0.54 % (1031080)Peak memory usage: 12 MB
% 0.60/0.54 % (1031080)Instructions burned: 18 (million)
% 0.60/0.54 % (1031079)Instruction limit reached!
% 0.60/0.54 % (1031079)------------------------------
% 0.60/0.54 % (1031079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.54 % (1031079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.54 % (1031079)CaDiCaL version: 2.1.3
% 0.60/0.54 % (1031079)Termination reason: Instruction limit
% 0.60/0.54 % (1031079)Termination phase: Saturation
% 0.60/0.54 % (1031079)Time elapsed: 0.033 s
% 0.60/0.54 % (1031079)Peak memory usage: 12 MB
% 0.60/0.54 % (1031079)Instructions burned: 90 (million)
% 0.60/0.54 % (1031083)Instruction limit reached!
% 0.60/0.54 % (1031083)------------------------------
% 0.60/0.54 % (1031083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.54 % (1031083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.54 % (1031083)CaDiCaL version: 2.1.3
% 0.60/0.54 % (1031083)Termination reason: Instruction limit
% 0.60/0.54 % (1031083)Termination phase: Saturation
% 0.60/0.54 % (1031083)Time elapsed: 0.019 s
% 0.60/0.54 % (1031083)Peak memory usage: 11 MB
% 0.60/0.54 % (1031083)Instructions burned: 24 (million)
% 0.60/0.54 % (1031096)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2361475401:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.60/0.54 % (1031093)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2985279404:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.39/0.59 % (1031084)Instruction limit reached!
% 1.39/0.59 % (1031084)------------------------------
% 1.39/0.59 % (1031084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.59 % (1031084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.59 % (1031084)CaDiCaL version: 2.1.3
% 1.39/0.59 % (1031084)Termination reason: Instruction limit
% 1.39/0.59 % (1031084)Termination phase: Saturation
% 1.39/0.59 % (1031084)Time elapsed: 0.063 s
% 1.39/0.59 % (1031084)Peak memory usage: 12 MB
% 1.39/0.59 % (1031084)Instructions burned: 76 (million)
% 1.39/0.59 % (1031096)Instruction limit reached!
% 1.39/0.59 % (1031096)------------------------------
% 1.39/0.59 % (1031096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.59 % (1031096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.59 % (1031096)CaDiCaL version: 2.1.3
% 1.39/0.59 % (1031096)Termination reason: Instruction limit
% 1.39/0.59 % (1031096)Termination phase: Saturation
% 1.39/0.59 % (1031096)Time elapsed: 0.012 s
% 1.39/0.59 % (1031096)Peak memory usage: 12 MB
% 1.39/0.59 % (1031096)Instructions burned: 12 (million)
% 1.39/0.59 % (1031093)Instruction limit reached!
% 1.39/0.59 % (1031093)------------------------------
% 1.39/0.59 % (1031093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.59 % (1031093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.59 % (1031093)CaDiCaL version: 2.1.3
% 1.39/0.59 % (1031093)Termination reason: Instruction limit
% 1.39/0.59 % (1031093)Termination phase: Saturation
% 1.39/0.59 % (1031093)Time elapsed: 0.009 s
% 1.39/0.59 % (1031093)Peak memory usage: 12 MB
% 1.39/0.59 % (1031093)Instructions burned: 2 (million)
% 1.39/0.59 % (1031095)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.39/0.59 % (1031095)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1413376569:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.39/0.59 % (1031094)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=800472876:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.39/0.59 % (1031095)Instruction limit reached!
% 1.39/0.59 % (1031095)------------------------------
% 1.39/0.59 % (1031095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.59 % (1031095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.59 % (1031095)CaDiCaL version: 2.1.3
% 1.39/0.59 % (1031095)Termination reason: Instruction limit
% 1.39/0.59 % (1031095)Termination phase: Saturation
% 1.39/0.59 % (1031095)Time elapsed: 0.004 s
% 1.39/0.59 % (1031095)Peak memory usage: 12 MB
% 1.39/0.59 % (1031095)Instructions burned: 7 (million)
% 1.39/0.59 % (1031099)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.39/0.59 % (1031099)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.39/0.59 % (1031094)Instruction limit reached!
% 1.39/0.59 % (1031094)------------------------------
% 1.39/0.59 % (1031094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.59 % (1031094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.59 % (1031094)CaDiCaL version: 2.1.3
% 1.39/0.59 % (1031094)Termination reason: Instruction limit
% 1.39/0.59 % (1031094)Termination phase: Saturation
% 1.39/0.59 % (1031094)Time elapsed: 0.006 s
% 1.39/0.59 % (1031094)Peak memory usage: 12 MB
% 1.39/0.59 % (1031094)Instructions burned: 5 (million)
% 1.39/0.59 % (1031099)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1051129743:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.39/0.59 % (1031099)Instruction limit reached!
% 1.39/0.59 % (1031099)------------------------------
% 1.39/0.59 % (1031099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.59 % (1031099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.59 % (1031099)CaDiCaL version: 2.1.3
% 1.39/0.59 % (1031099)Termination reason: Instruction limit
% 1.39/0.67 % (1031099)Termination phase: Saturation
% 1.39/0.67 % (1031099)Time elapsed: 0.013 s
% 1.39/0.67 % (1031099)Peak memory usage: 12 MB
% 1.39/0.67 % (1031099)Instructions burned: 30 (million)
% 1.39/0.67 % (1031100)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=1570040294:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.39/0.67 % (1031101)lrs+10_1_si=on:cs=on:random_seed=4170518956:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.39/0.67 % (1031101)Instruction limit reached!
% 1.39/0.67 % (1031101)------------------------------
% 1.39/0.67 % (1031101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.67 % (1031101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.67 % (1031101)CaDiCaL version: 2.1.3
% 1.39/0.67 % (1031101)Termination reason: Instruction limit
% 1.39/0.67 % (1031101)Termination phase: Saturation
% 1.39/0.67 % (1031101)Time elapsed: 0.011 s
% 1.39/0.67 % (1031101)Peak memory usage: 12 MB
% 1.39/0.67 % (1031101)Instructions burned: 12 (million)
% 1.39/0.67 % (1031104)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.39/0.67 % (1031085)Instruction limit reached!
% 1.39/0.67 % (1031085)------------------------------
% 1.39/0.67 % (1031085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.67 % (1031085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.67 % (1031085)CaDiCaL version: 2.1.3
% 1.39/0.67 % (1031085)Termination reason: Instruction limit
% 1.39/0.67 % (1031085)Termination phase: Saturation
% 1.39/0.67 % (1031085)Time elapsed: 0.108 s
% 1.39/0.67 % (1031085)Peak memory usage: 12 MB
% 1.39/0.67 % (1031085)Instructions burned: 157 (million)
% 1.39/0.67 % (1031104)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=3989629715:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.39/0.67 % (1031104)Instruction limit reached!
% 1.39/0.67 % (1031104)------------------------------
% 1.39/0.67 % (1031104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.67 % (1031104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.67 % (1031104)CaDiCaL version: 2.1.3
% 1.39/0.67 % (1031104)Termination reason: Instruction limit
% 1.39/0.67 % (1031104)Termination phase: Saturation
% 1.39/0.67 % (1031104)Time elapsed: 0.010 s
% 1.39/0.67 % (1031104)Peak memory usage: 11 MB
% 1.39/0.67 % (1031104)Instructions burned: 3 (million)
% 1.39/0.67 % (1031105)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2894232859:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.39/0.67 % (1031105)Refutation not found, incomplete strategy
% 1.39/0.67 % (1031105)------------------------------
% 1.39/0.67 % (1031105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.67 % (1031105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.67 % (1031105)CaDiCaL version: 2.1.3
% 1.39/0.67 % (1031105)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.67 % (1031105)Time elapsed: 0.0000 s
% 1.39/0.67 % (1031105)Peak memory usage: 11 MB
% 1.39/0.67 % (1031105)------------------------------
% 1.39/0.67 % (1031105)------------------------------
% 1.39/0.67 % (1031100)Instruction limit reached!
% 1.39/0.67 % (1031100)------------------------------
% 1.39/0.67 % (1031100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.67 % (1031100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.67 % (1031100)CaDiCaL version: 2.1.3
% 1.39/0.67 % (1031100)Termination reason: Instruction limit
% 1.39/0.67 % (1031100)Termination phase: Saturation
% 1.39/0.67 % (1031100)Time elapsed: 0.070 s
% 1.39/0.67 % (1031100)Peak memory usage: 12 MB
% 1.39/0.67 % (1031100)Instructions burned: 87 (million)
% 1.39/0.67 % (1031108)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4252239911:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.39/0.67 % (1031108)Refutation not found, incomplete strategy
% 1.39/0.67 % (1031108)------------------------------
% 1.39/0.67 % (1031108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.67 % (1031108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.71 % (1031108)CaDiCaL version: 2.1.3
% 1.93/0.71 % (1031108)Termination reason: Refutation not found, incomplete strategy
% 1.93/0.71 % (1031108)Time elapsed: 0.001 s
% 1.93/0.71 % (1031108)Peak memory usage: 11 MB
% 1.93/0.71 % (1031108)------------------------------
% 1.93/0.71 % (1031108)------------------------------
% 1.93/0.71 % (1031111)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3512644263:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.93/0.71 % (1031110)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1107580960:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.93/0.71 % (1031110)Refutation not found, incomplete strategy
% 1.93/0.71 % (1031110)------------------------------
% 1.93/0.71 % (1031110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.71 % (1031110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.71 % (1031110)CaDiCaL version: 2.1.3
% 1.93/0.71 % (1031110)Termination reason: Refutation not found, incomplete strategy
% 1.93/0.71 % (1031110)Time elapsed: 0.0000 s
% 1.93/0.71 % (1031110)Peak memory usage: 11 MB
% 1.93/0.71 % (1031110)------------------------------
% 1.93/0.71 % (1031110)------------------------------
% 1.93/0.71 % (1031111)Instruction limit reached!
% 1.93/0.71 % (1031111)------------------------------
% 1.93/0.71 % (1031111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.71 % (1031111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.71 % (1031111)CaDiCaL version: 2.1.3
% 1.93/0.71 % (1031111)Termination reason: Instruction limit
% 1.93/0.71 % (1031111)Termination phase: Saturation
% 1.93/0.71 % (1031111)Time elapsed: 0.014 s
% 1.93/0.71 % (1031111)Peak memory usage: 11 MB
% 1.93/0.71 % (1031111)Instructions burned: 14 (million)
% 1.93/0.71 % (1031116)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1543981861:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 1.93/0.71 % (1031116)Refutation not found, incomplete strategy
% 1.93/0.71 % (1031116)------------------------------
% 1.93/0.71 % (1031116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.71 % (1031116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.71 % (1031116)CaDiCaL version: 2.1.3
% 1.93/0.71 % (1031116)Termination reason: Refutation not found, incomplete strategy
% 1.93/0.71 % (1031116)Time elapsed: 0.0000 s
% 1.93/0.71 % (1031116)Peak memory usage: 11 MB
% 1.93/0.71 % (1031116)------------------------------
% 1.93/0.71 % (1031116)------------------------------
% 1.93/0.71 % (1031113)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1264742316:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.93/0.71 % (1031115)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4113467239:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.93/0.71 % (1031113)Refutation not found, incomplete strategy
% 1.93/0.71 % (1031113)------------------------------
% 1.93/0.71 % (1031113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.71 % (1031113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.71 % (1031113)CaDiCaL version: 2.1.3
% 1.93/0.71 % (1031113)Termination reason: Refutation not found, incomplete strategy
% 1.93/0.71 % (1031113)Time elapsed: 0.001 s
% 1.93/0.71 % (1031113)Peak memory usage: 11 MB
% 1.93/0.71 % (1031113)------------------------------
% 1.93/0.71 % (1031113)------------------------------
% 1.93/0.71 % (1031124)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
% 1.93/0.71 % (1031124)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.93/0.71 % (1031119)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=547295455:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.93/0.71 % (1031121)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1084561567:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.13/0.80 % (1031124)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=3331082164:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.13/0.80 % (1031115)Instruction limit reached!
% 2.13/0.80 % (1031115)------------------------------
% 2.13/0.80 % (1031115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.80 % (1031115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.80 % (1031115)CaDiCaL version: 2.1.3
% 2.13/0.80 % (1031115)Termination reason: Instruction limit
% 2.13/0.80 % (1031115)Termination phase: Saturation
% 2.13/0.80 % (1031115)Time elapsed: 0.013 s
% 2.13/0.80 % (1031115)Peak memory usage: 11 MB
% 2.13/0.80 % (1031115)Instructions burned: 14 (million)
% 2.13/0.80 % (1031122)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3510339525:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.13/0.80 % (1031127)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.13/0.80 % (1031124)Instruction limit reached!
% 2.13/0.80 % (1031124)------------------------------
% 2.13/0.80 % (1031124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.80 % (1031124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.80 % (1031124)CaDiCaL version: 2.1.3
% 2.13/0.80 % (1031124)Termination reason: Instruction limit
% 2.13/0.80 % (1031124)Termination phase: Saturation
% 2.13/0.80 % (1031124)Time elapsed: 0.007 s
% 2.13/0.80 % (1031124)Peak memory usage: 12 MB
% 2.13/0.80 % (1031124)Instructions burned: 14 (million)
% 2.13/0.80 % (1031121)Instruction limit reached!
% 2.13/0.80 % (1031121)------------------------------
% 2.13/0.80 % (1031121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.80 % (1031121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.80 % (1031121)CaDiCaL version: 2.1.3
% 2.13/0.80 % (1031121)Termination reason: Instruction limit
% 2.13/0.80 % (1031121)Termination phase: Saturation
% 2.13/0.80 % (1031121)Time elapsed: 0.017 s
% 2.13/0.80 % (1031121)Peak memory usage: 11 MB
% 2.13/0.80 % (1031121)Instructions burned: 23 (million)
% 2.13/0.80 % (1031127)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=3258024453:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.13/0.80 % (1031119)Instruction limit reached!
% 2.13/0.80 % (1031119)------------------------------
% 2.13/0.80 % (1031119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.80 % (1031119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.80 % (1031119)CaDiCaL version: 2.1.3
% 2.13/0.80 % (1031119)Termination reason: Instruction limit
% 2.13/0.80 % (1031119)Termination phase: Saturation
% 2.13/0.80 % (1031119)Time elapsed: 0.023 s
% 2.13/0.80 % (1031119)Peak memory usage: 12 MB
% 2.13/0.80 % (1031119)Instructions burned: 26 (million)
% 2.13/0.80 % (1031127)Instruction limit reached!
% 2.13/0.80 % (1031127)------------------------------
% 2.13/0.80 % (1031127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.80 % (1031127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.80 % (1031127)CaDiCaL version: 2.1.3
% 2.13/0.80 % (1031127)Termination reason: Instruction limit
% 2.13/0.80 % (1031127)Termination phase: Saturation
% 2.13/0.80 % (1031127)Time elapsed: 0.027 s
% 2.13/0.80 % (1031127)Peak memory usage: 12 MB
% 2.13/0.80 % (1031127)Instructions burned: 8 (million)
% 2.13/0.80 % (1031122)Instruction limit reached!
% 2.13/0.80 % (1031122)------------------------------
% 2.13/0.80 % (1031122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.80 % (1031122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.80 % (1031122)CaDiCaL version: 2.1.3
% 2.13/0.80 % (1031122)Termination reason: Instruction limit
% 2.13/0.80 % (1031122)Termination phase: Saturation
% 2.13/0.80 % (1031122)Time elapsed: 0.046 s
% 2.13/0.80 % (1031122)Peak memory usage: 12 MB
% 2.13/0.80 % (1031122)Instructions burned: 61 (million)
% 2.13/0.80 % (1031131)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=3745620805:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.26/0.87 % (1031134)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3013744119:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.26/0.87 % (1031136)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1262914914:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.26/0.87 % (1031133)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2985385983:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.26/0.87 % (1031134)Instruction limit reached!
% 2.26/0.87 % (1031134)------------------------------
% 2.26/0.87 % (1031134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.87 % (1031134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.87 % (1031134)CaDiCaL version: 2.1.3
% 2.26/0.87 % (1031134)Termination reason: Instruction limit
% 2.26/0.87 % (1031134)Termination phase: Saturation
% 2.26/0.87 % (1031134)Time elapsed: 0.010 s
% 2.26/0.87 % (1031134)Peak memory usage: 11 MB
% 2.26/0.87 % (1031134)Instructions burned: 24 (million)
% 2.26/0.87 % (1031137)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2421883189:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 2.26/0.87 % (1031133)Instruction limit reached!
% 2.26/0.87 % (1031133)------------------------------
% 2.26/0.87 % (1031133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.87 % (1031133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.87 % (1031133)CaDiCaL version: 2.1.3
% 2.26/0.87 % (1031133)Termination reason: Instruction limit
% 2.26/0.87 % (1031133)Termination phase: Saturation
% 2.26/0.87 % (1031133)Time elapsed: 0.008 s
% 2.26/0.87 % (1031133)Peak memory usage: 12 MB
% 2.26/0.87 % (1031133)Instructions burned: 8 (million)
% 2.26/0.87 % (1031136)Instruction limit reached!
% 2.26/0.87 % (1031136)------------------------------
% 2.26/0.87 % (1031136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.87 % (1031136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.87 % (1031136)CaDiCaL version: 2.1.3
% 2.26/0.87 % (1031136)Termination reason: Instruction limit
% 2.26/0.87 % (1031136)Termination phase: Saturation
% 2.26/0.87 % (1031136)Time elapsed: 0.018 s
% 2.26/0.87 % (1031136)Peak memory usage: 11 MB
% 2.26/0.87 % (1031136)Instructions burned: 21 (million)
% 2.26/0.87 % (1031138)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1278809516:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 2.26/0.87 % (1031144)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=348140119:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 2.26/0.87 % (1031144)Refutation not found, incomplete strategy
% 2.26/0.87 % (1031144)------------------------------
% 2.26/0.87 % (1031144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.87 % (1031144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.87 % (1031144)CaDiCaL version: 2.1.3
% 2.26/0.87 % (1031144)Termination reason: Refutation not found, incomplete strategy
% 2.26/0.87 % (1031144)Time elapsed: 0.0000 s
% 2.26/0.87 % (1031144)Peak memory usage: 11 MB
% 2.26/0.87 % (1031144)------------------------------
% 2.26/0.87 % (1031144)------------------------------
% 2.26/0.87 % (1031131)Instruction limit reached!
% 2.26/0.87 % (1031131)------------------------------
% 2.26/0.87 % (1031131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.87 % (1031131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.87 % (1031131)CaDiCaL version: 2.1.3
% 2.26/0.87 % (1031131)Termination reason: Instruction limit
% 2.26/0.87 % (1031131)Termination phase: Saturation
% 2.26/0.87 % (1031131)Time elapsed: 0.034 s
% 2.26/0.87 % (1031131)Peak memory usage: 12 MB
% 2.26/0.87 % (1031131)Instructions burned: 31 (million)
% 2.26/0.87 % (1031082)Instruction limit reached!
% 2.26/0.87 % (1031082)------------------------------
% 2.26/0.87 % (1031082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.87 % (1031082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.87 % (1031082)CaDiCaL version: 2.1.3
% 2.26/0.87 % (1031082)Termination reason: Instruction limit
% 2.26/0.87 % (1031082)Termination phase: Saturation
% 2.26/0.87 % (1031082)Time elapsed: 0.349 s
% 2.58/1.03 % (1031082)Peak memory usage: 13 MB
% 2.58/1.03 % (1031082)Instructions burned: 635 (million)
% 2.58/1.03 % (1031145)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2933881986:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.58/1.03 % (1031146)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.58/1.03 % (1031146)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=533851720:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.58/1.03 % (1031146)Instruction limit reached!
% 2.58/1.03 % (1031146)------------------------------
% 2.58/1.03 % (1031146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/1.03 % (1031146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.03 % (1031146)CaDiCaL version: 2.1.3
% 2.58/1.03 % (1031146)Termination reason: Instruction limit
% 2.58/1.03 % (1031146)Termination phase: Saturation
% 2.58/1.03 % (1031146)Time elapsed: 0.007 s
% 2.58/1.03 % (1031146)Peak memory usage: 12 MB
% 2.58/1.03 % (1031146)Instructions burned: 7 (million)
% 2.58/1.03 % (1031149)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1998029874:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.58/1.03 % (1031145)Instruction limit reached!
% 2.58/1.03 % (1031145)------------------------------
% 2.58/1.03 % (1031145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/1.03 % (1031145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.03 % (1031145)CaDiCaL version: 2.1.3
% 2.58/1.03 % (1031145)Termination reason: Instruction limit
% 2.58/1.03 % (1031145)Termination phase: Saturation
% 2.58/1.03 % (1031145)Time elapsed: 0.032 s
% 2.58/1.03 % (1031145)Peak memory usage: 12 MB
% 2.58/1.03 % (1031145)Instructions burned: 42 (million)
% 2.58/1.03 % (1031150)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=3804805761:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.58/1.03 % (1031150)Refutation not found, incomplete strategy
% 2.58/1.03 % (1031150)------------------------------
% 2.58/1.03 % (1031150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/1.03 % (1031150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.03 % (1031150)CaDiCaL version: 2.1.3
% 2.58/1.03 % (1031150)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.03 % (1031150)Time elapsed: 0.001 s
% 2.58/1.03 % (1031151)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.58/1.03 % (1031149)Refutation not found, incomplete strategy
% 2.58/1.03 % (1031149)------------------------------
% 2.58/1.03 % (1031149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/1.03 % (1031149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.03 % (1031149)CaDiCaL version: 2.1.3
% 2.58/1.03 % (1031149)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.03 % (1031149)Time elapsed: 0.016 s
% 2.58/1.03 % (1031149)Peak memory usage: 11 MB
% 2.58/1.03 % (1031149)------------------------------
% 2.58/1.03 % (1031149)------------------------------
% 2.58/1.03 % (1031150)Peak memory usage: 11 MB
% 2.58/1.03 % (1031150)------------------------------
% 2.58/1.03 % (1031150)------------------------------
% 2.58/1.03 % (1031138)Instruction limit reached!
% 2.58/1.03 % (1031138)------------------------------
% 2.58/1.03 % (1031138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/1.03 % (1031138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.03 % (1031138)CaDiCaL version: 2.1.3
% 2.58/1.03 % (1031138)Termination reason: Instruction limit
% 2.58/1.03 % (1031138)Termination phase: Saturation
% 2.58/1.03 % (1031138)Time elapsed: 0.098 s
% 2.58/1.03 % (1031138)Peak memory usage: 12 MB
% 2.58/1.03 % (1031138)Instructions burned: 143 (million)
% 2.58/1.03 % (1031151)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1782586482:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.58/1.10 % (1031151)Refutation not found, incomplete strategy
% 2.58/1.10 % (1031151)------------------------------
% 2.58/1.10 % (1031151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/1.10 % (1031151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.10 % (1031151)CaDiCaL version: 2.1.3
% 2.58/1.10 % (1031151)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.10 % (1031151)Time elapsed: 0.005 s
% 2.58/1.10 % (1031151)Peak memory usage: 11 MB
% 2.58/1.10 % (1031151)Instructions burned: 1 (million)
% 2.58/1.10 % (1031151)------------------------------
% 2.58/1.10 % (1031151)------------------------------
% 2.58/1.10 % (1031154)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3741813371:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 2.58/1.10 % (1031156)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4086167275:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 2.58/1.10 % (1031158)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=2770574668:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 2.58/1.10 % (1031156)Refutation not found, incomplete strategy
% 2.58/1.10 % (1031156)------------------------------
% 2.58/1.10 % (1031156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/1.10 % (1031156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.10 % (1031156)CaDiCaL version: 2.1.3
% 2.58/1.10 % (1031156)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.10 % (1031156)Time elapsed: 0.004 s
% 2.58/1.10 % (1031156)Peak memory usage: 12 MB
% 2.58/1.10 % (1031156)Instructions burned: 2 (million)
% 2.58/1.10 % (1031156)------------------------------
% 2.58/1.10 % (1031156)------------------------------
% 2.58/1.10 % (1031161)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=166710392:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 2.58/1.10 % (1031159)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=4085737623:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 2.58/1.10 % (1031154)Instruction limit reached!
% 2.58/1.10 % (1031154)------------------------------
% 2.58/1.10 % (1031154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/1.10 % (1031154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.10 % (1031154)CaDiCaL version: 2.1.3
% 2.58/1.10 % (1031154)Termination reason: Instruction limit
% 2.58/1.10 % (1031154)Termination phase: Saturation
% 2.58/1.10 % (1031154)Time elapsed: 0.019 s
% 2.58/1.10 % (1031154)Peak memory usage: 11 MB
% 2.58/1.10 % (1031154)Instructions burned: 22 (million)
% 2.58/1.10 % (1031162)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4088662304:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 2.58/1.10 % (1031162)Refutation not found, incomplete strategy
% 2.58/1.10 % (1031162)------------------------------
% 2.58/1.10 % (1031162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/1.10 % (1031162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.10 % (1031162)CaDiCaL version: 2.1.3
% 2.58/1.10 % (1031162)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.10 % (1031162)Time elapsed: 0.002 s
% 2.58/1.10 % (1031162)Peak memory usage: 11 MB
% 2.58/1.10 % (1031162)Instructions burned: 1 (million)
% 2.58/1.10 % (1031162)------------------------------
% 2.58/1.10 % (1031162)------------------------------
% 2.58/1.10 % (1031167)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3464865845:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 2.58/1.10 % (1031161)Instruction limit reached!
% 2.58/1.10 % (1031161)------------------------------
% 2.58/1.10 % (1031161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.58/1.10 % (1031161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.16 % (1031161)CaDiCaL version: 2.1.3
% 4.18/1.16 % (1031161)Termination reason: Instruction limit
% 4.18/1.16 % (1031161)Termination phase: Saturation
% 4.18/1.16 % (1031161)Time elapsed: 0.040 s
% 4.18/1.16 % (1031161)Peak memory usage: 12 MB
% 4.18/1.16 % (1031161)Instructions burned: 45 (million)
% 4.18/1.16 % (1031169)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 4.18/1.16 % (1031167)Instruction limit reached!
% 4.18/1.16 % (1031167)------------------------------
% 4.18/1.16 % (1031167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/1.16 % (1031167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.16 % (1031167)CaDiCaL version: 2.1.3
% 4.18/1.16 % (1031167)Termination reason: Instruction limit
% 4.18/1.16 % (1031167)Termination phase: Saturation
% 4.18/1.16 % (1031167)Time elapsed: 0.019 s
% 4.18/1.16 % (1031167)Peak memory usage: 12 MB
% 4.18/1.16 % (1031167)Instructions burned: 21 (million)
% 4.18/1.16 % (1031169)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2000356933:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 4.18/1.16 % (1031171)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1190005729:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 4.18/1.16 % (1031174)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=234847921:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 4.18/1.16 % (1031174)Refutation not found, incomplete strategy
% 4.18/1.16 % (1031174)------------------------------
% 4.18/1.16 % (1031174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/1.16 % (1031174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.16 % (1031174)CaDiCaL version: 2.1.3
% 4.18/1.16 % (1031174)Termination reason: Refutation not found, incomplete strategy
% 4.18/1.16 % (1031174)Time elapsed: 0.002 s
% 4.18/1.16 % (1031174)Peak memory usage: 11 MB
% 4.18/1.16 % (1031174)Instructions burned: 1 (million)
% 4.18/1.16 % (1031174)------------------------------
% 4.18/1.16 % (1031174)------------------------------
% 4.18/1.16 % (1031171)Instruction limit reached!
% 4.18/1.16 % (1031171)------------------------------
% 4.18/1.16 % (1031171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/1.16 % (1031171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.16 % (1031171)CaDiCaL version: 2.1.3
% 4.18/1.16 % (1031171)Termination reason: Instruction limit
% 4.18/1.16 % (1031171)Termination phase: Saturation
% 4.18/1.16 % (1031171)Time elapsed: 0.032 s
% 4.18/1.16 % (1031171)Peak memory usage: 12 MB
% 4.18/1.16 % (1031171)Instructions burned: 13 (million)
% 4.18/1.16 % (1031173)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=186120972:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 4.18/1.16 % (1031178)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2122581613:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 4.18/1.16 % (1031179)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1356554937:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 4.18/1.16 % (1031178)Instruction limit reached!
% 4.18/1.16 % (1031178)------------------------------
% 4.18/1.16 % (1031178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/1.16 % (1031178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.16 % (1031178)CaDiCaL version: 2.1.3
% 4.18/1.16 % (1031178)Termination reason: Instruction limit
% 4.18/1.16 % (1031178)Termination phase: Saturation
% 4.18/1.16 % (1031178)Time elapsed: 0.041 s
% 4.18/1.16 % (1031178)Peak memory usage: 12 MB
% 4.18/1.16 % (1031178)Instructions burned: 32 (million)
% 4.18/1.16 % (1031173)Instruction limit reached!
% 4.18/1.16 % (1031173)------------------------------
% 4.18/1.16 % (1031173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/1.16 % (1031173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.16 % (1031173)CaDiCaL version: 2.1.3
% 4.18/1.16 % (1031173)Termination reason: Instruction limit
% 4.18/1.16 % (1031173)Termination phase: Saturation
% 4.63/1.27 % (1031173)Time elapsed: 0.087 s
% 4.63/1.27 % (1031173)Peak memory usage: 12 MB
% 4.63/1.27 % (1031173)Instructions burned: 67 (million)
% 4.63/1.27 % (1031169)Instruction limit reached!
% 4.63/1.27 % (1031169)------------------------------
% 4.63/1.27 % (1031169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.27 % (1031169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.27 % (1031169)CaDiCaL version: 2.1.3
% 4.63/1.27 % (1031169)Termination reason: Instruction limit
% 4.63/1.27 % (1031169)Termination phase: Saturation
% 4.63/1.27 % (1031169)Time elapsed: 0.164 s
% 4.63/1.27 % (1031169)Peak memory usage: 12 MB
% 4.63/1.27 % (1031169)Instructions burned: 201 (million)
% 4.63/1.27 % (1031183)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=42652208:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 4.63/1.27 % (1031184)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2212152752:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/67Mi)
% 4.63/1.27 % (1031184)Refutation not found, incomplete strategy
% 4.63/1.27 % (1031184)------------------------------
% 4.63/1.27 % (1031184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.27 % (1031184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.27 % (1031184)CaDiCaL version: 2.1.3
% 4.63/1.27 % (1031184)Termination reason: Refutation not found, incomplete strategy
% 4.63/1.27 % (1031184)Time elapsed: 0.002 s
% 4.63/1.27 % (1031184)Peak memory usage: 11 MB
% 4.63/1.27 % (1031184)Instructions burned: 1 (million)
% 4.63/1.27 % (1031184)------------------------------
% 4.63/1.27 % (1031184)------------------------------
% 4.63/1.27 % (1031185)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 4.63/1.27 % (1031185)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=667897136:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 4.63/1.27 % (1031179)Instruction limit reached!
% 4.63/1.27 % (1031179)------------------------------
% 4.63/1.27 % (1031179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.27 % (1031179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.27 % (1031179)CaDiCaL version: 2.1.3
% 4.63/1.27 % (1031179)Termination reason: Instruction limit
% 4.63/1.27 % (1031179)Termination phase: Saturation
% 4.63/1.27 % (1031179)Time elapsed: 0.093 s
% 4.63/1.27 % (1031179)Peak memory usage: 12 MB
% 4.63/1.27 % (1031179)Instructions burned: 142 (million)
% 4.63/1.27 % (1031183)Instruction limit reached!
% 4.63/1.27 % (1031183)------------------------------
% 4.63/1.27 % (1031183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.27 % (1031183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.27 % (1031183)CaDiCaL version: 2.1.3
% 4.63/1.27 % (1031183)Termination reason: Instruction limit
% 4.63/1.27 % (1031183)Termination phase: Saturation
% 4.63/1.27 % (1031183)Time elapsed: 0.029 s
% 4.63/1.27 % (1031183)Peak memory usage: 12 MB
% 4.63/1.27 % (1031183)Instructions burned: 34 (million)
% 4.63/1.27 % (1031159)Instruction limit reached!
% 4.63/1.27 % (1031159)------------------------------
% 4.63/1.27 % (1031159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.27 % (1031159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.27 % (1031159)CaDiCaL version: 2.1.3
% 4.63/1.27 % (1031159)Termination reason: Instruction limit
% 4.63/1.27 % (1031159)Termination phase: Saturation
% 4.63/1.27 % (1031159)Time elapsed: 0.268 s
% 4.63/1.27 % (1031159)Peak memory usage: 13 MB
% 4.63/1.27 % (1031159)Instructions burned: 856 (million)
% 4.63/1.27 % (1031188)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2984889775:st=2:i=246:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/246Mi)
% 4.63/1.27 % (1031188)Refutation not found, incomplete strategy
% 4.63/1.27 % (1031188)------------------------------
% 4.63/1.27 % (1031188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.27 % (1031188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.27 % (1031188)CaDiCaL version: 2.1.3
% 4.63/1.27 % (1031188)Termination reason: Refutation not found, incomplete strategy
% 4.63/1.27 % (1031188)Time elapsed: 0.001 s
% 5.16/1.42 % (1031188)Peak memory usage: 11 MB
% 5.16/1.42 % (1031188)------------------------------
% 5.16/1.42 % (1031188)------------------------------
% 5.16/1.42 % (1031190)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1004480799:cond=on:i=96:bd=all:rtra=on_2992 on theBenchmark for (2992ds/96Mi)
% 5.16/1.42 % (1031158)Instruction limit reached!
% 5.16/1.42 % (1031158)------------------------------
% 5.16/1.42 % (1031158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.16/1.42 % (1031158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.42 % (1031158)CaDiCaL version: 2.1.3
% 5.16/1.42 % (1031158)Termination reason: Instruction limit
% 5.16/1.42 % (1031158)Termination phase: Saturation
% 5.16/1.42 % (1031158)Time elapsed: 0.287 s
% 5.16/1.42 % (1031158)Peak memory usage: 13 MB
% 5.16/1.42 % (1031158)Instructions burned: 316 (million)
% 5.16/1.42 % (1031192)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2786159463:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/874Mi)
% 5.16/1.42 % (1031192)Refutation not found, incomplete strategy
% 5.16/1.42 % (1031192)------------------------------
% 5.16/1.42 % (1031192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.16/1.42 % (1031192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.42 % (1031192)CaDiCaL version: 2.1.3
% 5.16/1.42 % (1031192)Termination reason: Refutation not found, incomplete strategy
% 5.16/1.42 % (1031192)Time elapsed: 0.0000 s
% 5.16/1.42 % (1031192)Peak memory usage: 11 MB
% 5.16/1.42 % (1031192)------------------------------
% 5.16/1.42 % (1031192)------------------------------
% 5.16/1.42 % (1031191)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2806108037:i=427:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/427Mi)
% 5.16/1.42 % (1031191)Refutation not found, incomplete strategy
% 5.16/1.42 % (1031191)------------------------------
% 5.16/1.42 % (1031191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.16/1.42 % (1031191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.42 % (1031191)CaDiCaL version: 2.1.3
% 5.16/1.42 % (1031191)Termination reason: Refutation not found, incomplete strategy
% 5.16/1.42 % (1031191)Time elapsed: 0.001 s
% 5.16/1.42 % (1031191)Peak memory usage: 11 MB
% 5.16/1.42 % (1031191)------------------------------
% 5.16/1.42 % (1031191)------------------------------
% 5.16/1.42 % (1031197)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3210050231:st=1.5:i=130:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 5.16/1.42 % (1031194)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3417237919:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/515Mi)
% 5.16/1.42 % (1031197)Refutation not found, incomplete strategy
% 5.16/1.42 % (1031197)------------------------------
% 5.16/1.42 % (1031197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.16/1.42 % (1031197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.42 % (1031197)CaDiCaL version: 2.1.3
% 5.16/1.42 % (1031197)Termination reason: Refutation not found, incomplete strategy
% 5.16/1.42 % (1031197)Time elapsed: 0.001 s
% 5.16/1.42 % (1031197)Peak memory usage: 11 MB
% 5.16/1.42 % (1031197)Instructions burned: 1 (million)
% 5.16/1.42 % (1031197)------------------------------
% 5.16/1.42 % (1031197)------------------------------
% 5.16/1.42 % (1031194)Refutation not found, incomplete strategy
% 5.16/1.42 % (1031194)------------------------------
% 5.16/1.42 % (1031194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.16/1.42 % (1031194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/1.42 % (1031194)CaDiCaL version: 2.1.3
% 5.16/1.42 % (1031194)Termination reason: Refutation not found, incomplete strategy
% 5.16/1.42 % (1031194)Time elapsed: 0.001 s
% 5.16/1.42 % (1031194)Peak memory usage: 12 MB
% 5.16/1.42 % (1031194)------------------------------
% 5.16/1.42 % (1031194)------------------------------
% 5.16/1.42 % (1031198)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=535928884:i=44:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/44Mi)
% 5.16/1.42 % (1031200)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=4119529750:s2a=on:i=571:nm=16:rtra=on_2991 on theBenchmark for (2991ds/571Mi)
% 5.16/1.42 % (1031200)Refutation not found, incomplete strategy
% 4.57/1.52 % (1031200)------------------------------
% 4.57/1.52 % (1031200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/1.52 % (1031200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.52 % (1031200)CaDiCaL version: 2.1.3
% 4.57/1.52 % (1031200)Termination reason: Refutation not found, incomplete strategy
% 4.57/1.52 % (1031200)Time elapsed: 0.002 s
% 4.57/1.52 % (1031200)Peak memory usage: 12 MB
% 4.57/1.52 % (1031200)Instructions burned: 1 (million)
% 4.57/1.52 % (1031200)------------------------------
% 4.57/1.52 % (1031200)------------------------------
% 4.57/1.52 % (1031204)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1105158588:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/95Mi)
% 4.57/1.52 % (1031203)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1392058880:i=450:rtra=on:ixr=off:ntd=on_2991 on theBenchmark for (2991ds/450Mi)
% 4.57/1.52 % (1031198)Instruction limit reached!
% 4.57/1.52 % (1031198)------------------------------
% 4.57/1.52 % (1031198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/1.52 % (1031198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.52 % (1031198)CaDiCaL version: 2.1.3
% 4.57/1.52 % (1031198)Termination reason: Instruction limit
% 4.57/1.52 % (1031198)Termination phase: Saturation
% 4.57/1.52 % (1031198)Time elapsed: 0.038 s
% 4.57/1.52 % (1031198)Peak memory usage: 12 MB
% 4.57/1.52 % (1031198)Instructions burned: 44 (million)
% 4.57/1.52 % (1031190)Instruction limit reached!
% 4.57/1.52 % (1031190)------------------------------
% 4.57/1.52 % (1031190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/1.52 % (1031190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.52 % (1031190)CaDiCaL version: 2.1.3
% 4.57/1.52 % (1031190)Termination reason: Instruction limit
% 4.57/1.52 % (1031190)Termination phase: Saturation
% 4.57/1.52 % (1031190)Time elapsed: 0.078 s
% 4.57/1.52 % (1031190)Peak memory usage: 12 MB
% 4.57/1.52 % (1031190)Instructions burned: 96 (million)
% 4.57/1.52 % (1031207)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=3342319155:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2991 on theBenchmark for (2991ds/65Mi)
% 4.57/1.52 % (1031185)Instruction limit reached!
% 4.57/1.52 % (1031185)------------------------------
% 4.57/1.52 % (1031185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/1.52 % (1031185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.52 % (1031185)CaDiCaL version: 2.1.3
% 4.57/1.52 % (1031185)Termination reason: Instruction limit
% 4.57/1.52 % (1031185)Termination phase: Saturation
% 4.57/1.52 % (1031185)Time elapsed: 0.148 s
% 4.57/1.52 % (1031185)Peak memory usage: 12 MB
% 4.57/1.52 % (1031185)Instructions burned: 181 (million)
% 4.57/1.52 % (1031204)Instruction limit reached!
% 4.57/1.52 % (1031204)------------------------------
% 4.57/1.52 % (1031204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/1.52 % (1031204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.52 % (1031204)CaDiCaL version: 2.1.3
% 4.57/1.52 % (1031204)Termination reason: Instruction limit
% 4.57/1.52 % (1031204)Termination phase: Saturation
% 4.57/1.52 % (1031204)Time elapsed: 0.074 s
% 4.57/1.52 % (1031204)Peak memory usage: 12 MB
% 4.57/1.52 % (1031204)Instructions burned: 96 (million)
% 4.57/1.52 % (1031210)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=3276979080: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_2991 on theBenchmark for (2991ds/105Mi)
% 4.57/1.52 % (1031211)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=3833818195:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2991 on theBenchmark for (2991ds/5755Mi)
% 4.57/1.52 % (1031211)Refutation not found, incomplete strategy
% 4.57/1.52 % (1031211)------------------------------
% 4.57/1.52 % (1031211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.57/1.52 % (1031211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.66 % (1031211)CaDiCaL version: 2.1.3
% 5.90/1.66 % (1031211)Termination reason: Refutation not found, incomplete strategy
% 5.90/1.66 % (1031211)Time elapsed: 0.005 s
% 5.90/1.66 % (1031211)Peak memory usage: 12 MB
% 5.90/1.66 % (1031211)------------------------------
% 5.90/1.66 % (1031211)------------------------------
% 5.90/1.66 % (1031207)Instruction limit reached!
% 5.90/1.66 % (1031207)------------------------------
% 5.90/1.66 % (1031207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.66 % (1031207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.66 % (1031207)CaDiCaL version: 2.1.3
% 5.90/1.66 % (1031207)Termination reason: Instruction limit
% 5.90/1.66 % (1031207)Termination phase: Saturation
% 5.90/1.66 % (1031207)Time elapsed: 0.055 s
% 5.90/1.66 % (1031207)Peak memory usage: 12 MB
% 5.90/1.66 % (1031207)Instructions burned: 66 (million)
% 5.90/1.66 % (1031213)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1918795431:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/375Mi)
% 5.90/1.66 % (1031213)Refutation not found, incomplete strategy
% 5.90/1.66 % (1031213)------------------------------
% 5.90/1.66 % (1031213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.66 % (1031213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.66 % (1031213)CaDiCaL version: 2.1.3
% 5.90/1.66 % (1031213)Termination reason: Refutation not found, incomplete strategy
% 5.90/1.66 % (1031213)Time elapsed: 0.001 s
% 5.90/1.66 % (1031213)Peak memory usage: 11 MB
% 5.90/1.66 % (1031213)------------------------------
% 5.90/1.66 % (1031213)------------------------------
% 5.90/1.66 % (1031214)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1750781370:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/495Mi)
% 5.90/1.66 % (1031217)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=1063634087:cond=on:i=34:hud=10:nm=10:rtra=on_2990 on theBenchmark for (2990ds/34Mi)
% 5.90/1.66 % (1031218)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=4206214922:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/91Mi)
% 5.90/1.66 % (1031220)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=450218439:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2990 on theBenchmark for (2990ds/66Mi)
% 5.90/1.66 % (1031220)Refutation not found, incomplete strategy
% 5.90/1.66 % (1031220)------------------------------
% 5.90/1.66 % (1031220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.66 % (1031220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.66 % (1031220)CaDiCaL version: 2.1.3
% 5.90/1.66 % (1031220)Termination reason: Refutation not found, incomplete strategy
% 5.90/1.66 % (1031220)Time elapsed: 0.001 s
% 5.90/1.66 % (1031220)Peak memory usage: 11 MB
% 5.90/1.66 % (1031220)------------------------------
% 5.90/1.66 % (1031220)------------------------------
% 5.90/1.66 % (1031217)Instruction limit reached!
% 5.90/1.66 % (1031217)------------------------------
% 5.90/1.66 % (1031217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.66 % (1031217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.66 % (1031217)CaDiCaL version: 2.1.3
% 5.90/1.66 % (1031217)Termination reason: Instruction limit
% 5.90/1.66 % (1031217)Termination phase: Saturation
% 5.90/1.66 % (1031217)Time elapsed: 0.017 s
% 5.90/1.66 % (1031217)Peak memory usage: 12 MB
% 5.90/1.66 % (1031217)Instructions burned: 35 (million)
% 5.90/1.66 % (1031210)Instruction limit reached!
% 5.90/1.66 % (1031210)------------------------------
% 5.90/1.66 % (1031210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.66 % (1031210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.66 % (1031210)CaDiCaL version: 2.1.3
% 5.90/1.66 % (1031210)Termination reason: Instruction limit
% 5.90/1.66 % (1031210)Termination phase: Saturation
% 5.90/1.66 % (1031210)Time elapsed: 0.110 s
% 5.90/1.66 % (1031210)Peak memory usage: 12 MB
% 5.90/1.66 % (1031210)Instructions burned: 105 (million)
% 5.90/1.66 % (1031218)Instruction limit reached!
% 5.90/1.66 % (1031218)------------------------------
% 5.90/1.66 % (1031218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.79 % (1031218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.79 % (1031218)CaDiCaL version: 2.1.3
% 6.18/1.79 % (1031218)Termination reason: Instruction limit
% 6.18/1.79 % (1031218)Termination phase: Saturation
% 6.18/1.79 % (1031218)Time elapsed: 0.062 s
% 6.18/1.79 % (1031218)Peak memory usage: 12 MB
% 6.18/1.79 % (1031218)Instructions burned: 92 (million)
% 6.18/1.79 % (1031225)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2637698948:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2989 on theBenchmark for (2989ds/22Mi)
% 6.18/1.79 % (1031226)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=1338137670:i=338:bd=all:ins=4:rtra=on_2989 on theBenchmark for (2989ds/338Mi)
% 6.18/1.79 % (1031227)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2022958038:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/28Mi)
% 6.18/1.79 % (1031227)Refutation not found, incomplete strategy
% 6.18/1.79 % (1031227)------------------------------
% 6.18/1.79 % (1031227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.79 % (1031227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.79 % (1031227)CaDiCaL version: 2.1.3
% 6.18/1.79 % (1031227)Termination reason: Refutation not found, incomplete strategy
% 6.18/1.79 % (1031227)Time elapsed: 0.001 s
% 6.18/1.79 % (1031227)Peak memory usage: 11 MB
% 6.18/1.79 % (1031227)------------------------------
% 6.18/1.79 % (1031227)------------------------------
% 6.18/1.79 % (1031228)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.18/1.79 % (1031225)Instruction limit reached!
% 6.18/1.79 % (1031225)------------------------------
% 6.18/1.79 % (1031225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.79 % (1031225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.79 % (1031225)CaDiCaL version: 2.1.3
% 6.18/1.79 % (1031225)Termination reason: Instruction limit
% 6.18/1.79 % (1031225)Termination phase: Saturation
% 6.18/1.79 % (1031225)Time elapsed: 0.050 s
% 6.18/1.79 % (1031225)Peak memory usage: 12 MB
% 6.18/1.79 % (1031225)Instructions burned: 23 (million)
% 6.18/1.79 % (1031228)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1586291054:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/137Mi)
% 6.18/1.79 % (1031232)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=2529670934:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2988 on theBenchmark for (2988ds/340Mi)
% 6.18/1.79 % (1031137)Instruction limit reached!
% 6.18/1.79 % (1031137)------------------------------
% 6.18/1.79 % (1031137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.79 % (1031137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.79 % (1031137)CaDiCaL version: 2.1.3
% 6.18/1.79 % (1031137)Termination reason: Instruction limit
% 6.18/1.79 % (1031137)Termination phase: Saturation
% 6.18/1.79 % (1031137)Time elapsed: 0.812 s
% 6.18/1.79 % (1031137)Peak memory usage: 12 MB
% 6.18/1.79 % (1031137)Instructions burned: 1241 (million)
% 6.18/1.79 % (1031233)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=583745414:i=227:sd=1:bd=all:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/227Mi)
% 6.18/1.79 % (1031233)Refutation not found, incomplete strategy
% 6.18/1.79 % (1031233)------------------------------
% 6.18/1.79 % (1031233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.79 % (1031233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.79 % (1031233)CaDiCaL version: 2.1.3
% 6.18/1.79 % (1031233)Termination reason: Refutation not found, incomplete strategy
% 6.18/1.79 % (1031233)Time elapsed: 0.001 s
% 6.18/1.79 % (1031233)Peak memory usage: 11 MB
% 6.18/1.79 % (1031233)------------------------------
% 6.18/1.79 % (1031233)------------------------------
% 6.18/1.79 % (1031236)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.18/1.79 % (1031236)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1122128773:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/373Mi)
% 7.16/1.85 % (1031203)Instruction limit reached!
% 7.16/1.85 % (1031203)------------------------------
% 7.16/1.85 % (1031203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.85 % (1031203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.85 % (1031203)CaDiCaL version: 2.1.3
% 7.16/1.85 % (1031203)Termination reason: Instruction limit
% 7.16/1.85 % (1031203)Termination phase: Saturation
% 7.16/1.85 % (1031203)Time elapsed: 0.356 s
% 7.16/1.85 % (1031203)Peak memory usage: 12 MB
% 7.16/1.85 % (1031203)Instructions burned: 451 (million)
% 7.16/1.85 % (1031238)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2127412717:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 7.16/1.85 % (1031240)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3757377573:i=575:rtra=on_2987 on theBenchmark for (2987ds/575Mi)
% 7.16/1.85 % (1031240)Refutation not found, incomplete strategy
% 7.16/1.85 % (1031240)------------------------------
% 7.16/1.85 % (1031240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.85 % (1031240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.85 % (1031240)CaDiCaL version: 2.1.3
% 7.16/1.85 % (1031240)Termination reason: Refutation not found, incomplete strategy
% 7.16/1.85 % (1031240)Time elapsed: 0.002 s
% 7.16/1.85 % (1031240)Peak memory usage: 11 MB
% 7.16/1.85 % (1031240)Instructions burned: 1 (million)
% 7.16/1.85 % (1031240)------------------------------
% 7.16/1.85 % (1031240)------------------------------
% 7.16/1.85 % (1031228)Instruction limit reached!
% 7.16/1.85 % (1031228)------------------------------
% 7.16/1.85 % (1031228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.85 % (1031228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.85 % (1031228)CaDiCaL version: 2.1.3
% 7.16/1.85 % (1031228)Termination reason: Instruction limit
% 7.16/1.85 % (1031228)Termination phase: Saturation
% 7.16/1.85 % (1031228)Time elapsed: 0.101 s
% 7.16/1.85 % (1031228)Peak memory usage: 12 MB
% 7.16/1.85 % (1031228)Instructions burned: 137 (million)
% 7.16/1.85 % (1031243)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3634460611:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2987 on theBenchmark for (2987ds/270Mi)
% 7.16/1.85 % (1031244)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=3791528669: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_2987 on theBenchmark for (2987ds/9840Mi)
% 7.16/1.85 % (1031232)Instruction limit reached!
% 7.16/1.85 % (1031232)------------------------------
% 7.16/1.85 % (1031232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.85 % (1031232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.85 % (1031232)CaDiCaL version: 2.1.3
% 7.16/1.85 % (1031232)Termination reason: Instruction limit
% 7.16/1.85 % (1031232)Termination phase: Saturation
% 7.16/1.85 % (1031232)Time elapsed: 0.140 s
% 7.16/1.85 % (1031232)Peak memory usage: 13 MB
% 7.16/1.85 % (1031232)Instructions burned: 342 (million)
% 7.16/1.85 % (1031238)Instruction limit reached!
% 7.16/1.85 % (1031238)------------------------------
% 7.16/1.85 % (1031238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.16/1.85 % (1031238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.85 % (1031238)CaDiCaL version: 2.1.3
% 7.16/1.85 % (1031238)Termination reason: Instruction limit
% 7.16/1.85 % (1031238)Termination phase: Saturation
% 7.16/1.85 % (1031238)Time elapsed: 0.080 s
% 7.16/1.85 % (1031238)Peak memory usage: 12 MB
% 7.16/1.85 % (1031238)Instructions burned: 116 (million)
% 7.16/1.85 % (1031248)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.16/1.85 % (1031247)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=762098395:i=421:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/421Mi)
% 7.16/1.85 % (1031247)Refutation not found, incomplete strategy
% 7.16/1.85 % (1031247)------------------------------
% 7.83/1.97 % (1031247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.97 % (1031247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.97 % (1031247)CaDiCaL version: 2.1.3
% 7.83/1.97 % (1031247)Termination reason: Refutation not found, incomplete strategy
% 7.83/1.97 % (1031247)Time elapsed: 0.001 s
% 7.83/1.97 % (1031247)Peak memory usage: 12 MB
% 7.83/1.97 % (1031247)------------------------------
% 7.83/1.97 % (1031247)------------------------------
% 7.83/1.97 % (1031248)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=3465231818:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/270Mi)
% 7.83/1.97 % (1031250)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1716943160:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/31Mi)
% 7.83/1.97 % (1031226)Instruction limit reached!
% 7.83/1.97 % (1031226)------------------------------
% 7.83/1.97 % (1031226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.97 % (1031226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.97 % (1031226)CaDiCaL version: 2.1.3
% 7.83/1.97 % (1031226)Termination reason: Instruction limit
% 7.83/1.97 % (1031226)Termination phase: Saturation
% 7.83/1.97 % (1031226)Time elapsed: 0.270 s
% 7.83/1.97 % (1031226)Peak memory usage: 14 MB
% 7.83/1.97 % (1031226)Instructions burned: 338 (million)
% 7.83/1.97 % (1031214)Instruction limit reached!
% 7.83/1.97 % (1031214)------------------------------
% 7.83/1.97 % (1031214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.97 % (1031214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.97 % (1031214)CaDiCaL version: 2.1.3
% 7.83/1.97 % (1031214)Termination reason: Instruction limit
% 7.83/1.97 % (1031214)Termination phase: Saturation
% 7.83/1.97 % (1031214)Time elapsed: 0.404 s
% 7.83/1.97 % (1031214)Peak memory usage: 13 MB
% 7.83/1.97 % (1031214)Instructions burned: 495 (million)
% 7.83/1.97 % (1031250)Instruction limit reached!
% 7.83/1.97 % (1031250)------------------------------
% 7.83/1.97 % (1031250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.97 % (1031250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.97 % (1031250)CaDiCaL version: 2.1.3
% 7.83/1.97 % (1031250)Termination reason: Instruction limit
% 7.83/1.97 % (1031250)Termination phase: Saturation
% 7.83/1.97 % (1031250)Time elapsed: 0.043 s
% 7.83/1.97 % (1031250)Peak memory usage: 12 MB
% 7.83/1.97 % (1031250)Instructions burned: 31 (million)
% 7.83/1.97 % (1031253)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.83/1.97 % (1031253)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.83/1.97 % (1031253)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=1802174578:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2986 on theBenchmark for (2986ds/1440Mi)
% 7.83/1.97 % (1031236)Instruction limit reached!
% 7.83/1.97 % (1031236)------------------------------
% 7.83/1.97 % (1031236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.97 % (1031236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.97 % (1031236)CaDiCaL version: 2.1.3
% 7.83/1.97 % (1031236)Termination reason: Instruction limit
% 7.83/1.97 % (1031236)Termination phase: Saturation
% 7.83/1.97 % (1031236)Time elapsed: 0.270 s
% 7.83/1.97 % (1031236)Peak memory usage: 12 MB
% 7.83/1.97 % (1031236)Instructions burned: 373 (million)
% 7.83/1.97 % (1031254)dis+10_2_sil=128000:si=on:random_seed=3528399353:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2985 on theBenchmark for (2985ds/339Mi)
% 7.83/1.97 % (1031254)Refutation not found, incomplete strategy
% 7.83/1.97 % (1031254)------------------------------
% 7.83/1.97 % (1031254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.83/1.97 % (1031254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.97 % (1031254)CaDiCaL version: 2.1.3
% 7.83/1.97 % (1031254)Termination reason: Refutation not found, incomplete strategy
% 7.91/2.15 % (1031254)Time elapsed: 0.0000 s
% 7.91/2.15 % (1031254)Peak memory usage: 11 MB
% 7.91/2.15 % (1031254)------------------------------
% 7.91/2.15 % (1031254)------------------------------
% 7.91/2.15 % (1031255)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2413025900:i=111:add=on:fgj=on:rtra=on:fdi=1024_2985 on theBenchmark for (2985ds/111Mi)
% 7.91/2.15 % (1031259)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=757005294:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/136Mi)
% 7.91/2.15 % (1031243)Instruction limit reached!
% 7.91/2.15 % (1031243)------------------------------
% 7.91/2.15 % (1031243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/2.15 % (1031243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/2.15 % (1031243)CaDiCaL version: 2.1.3
% 7.91/2.15 % (1031243)Termination reason: Instruction limit
% 7.91/2.15 % (1031243)Termination phase: Saturation
% 7.91/2.15 % (1031243)Time elapsed: 0.209 s
% 7.91/2.15 % (1031243)Peak memory usage: 12 MB
% 7.91/2.15 % (1031243)Instructions burned: 271 (million)
% 7.91/2.15 % (1031259)Refutation not found, incomplete strategy
% 7.91/2.15 % (1031259)------------------------------
% 7.91/2.15 % (1031259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/2.15 % (1031259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/2.15 % (1031259)CaDiCaL version: 2.1.3
% 7.91/2.15 % (1031259)Termination reason: Refutation not found, incomplete strategy
% 7.91/2.15 % (1031259)Time elapsed: 0.001 s
% 7.91/2.15 % (1031259)Peak memory usage: 11 MB
% 7.91/2.15 % (1031259)Instructions burned: 1 (million)
% 7.91/2.15 % (1031259)------------------------------
% 7.91/2.15 % (1031259)------------------------------
% 7.91/2.15 % (1031257)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=204604176:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/122Mi)
% 7.91/2.15 % (1031257)Refutation not found, incomplete strategy
% 7.91/2.15 % (1031257)------------------------------
% 7.91/2.15 % (1031257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/2.15 % (1031257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/2.15 % (1031257)CaDiCaL version: 2.1.3
% 7.91/2.15 % (1031257)Termination reason: Refutation not found, incomplete strategy
% 7.91/2.15 % (1031257)Time elapsed: 0.001 s
% 7.91/2.15 % (1031257)Peak memory usage: 11 MB
% 7.91/2.15 % (1031257)------------------------------
% 7.91/2.15 % (1031257)------------------------------
% 7.91/2.15 % (1031263)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=2440345771:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2985 on theBenchmark for (2985ds/1254Mi)
% 7.91/2.15 % (1031263)Refutation not found, incomplete strategy
% 7.91/2.15 % (1031263)------------------------------
% 7.91/2.15 % (1031263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/2.15 % (1031263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/2.15 % (1031263)CaDiCaL version: 2.1.3
% 7.91/2.15 % (1031263)Termination reason: Refutation not found, incomplete strategy
% 7.91/2.15 % (1031263)Time elapsed: 0.001 s
% 7.91/2.15 % (1031263)Peak memory usage: 12 MB
% 7.91/2.15 % (1031263)Instructions burned: 3 (million)
% 7.91/2.15 % (1031263)------------------------------
% 7.91/2.15 % (1031263)------------------------------
% 7.91/2.15 % (1031262)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1685590282:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/232Mi)
% 7.91/2.15 % (1031262)Refutation not found, incomplete strategy
% 7.91/2.15 % (1031262)------------------------------
% 7.91/2.15 % (1031262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/2.15 % (1031262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/2.15 % (1031262)CaDiCaL version: 2.1.3
% 7.91/2.15 % (1031262)Termination reason: Refutation not found, incomplete strategy
% 7.91/2.15 % (1031262)Time elapsed: 0.001 s
% 7.91/2.15 % (1031262)Peak memory usage: 11 MB
% 7.91/2.15 % (1031262)------------------------------
% 7.91/2.15 % (1031262)------------------------------
% 7.91/2.15 % (1031265)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 10.40/2.33 % (1031265)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=3097982214:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2984 on theBenchmark for (2984ds/281Mi)
% 10.40/2.33 % (1031267)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3425637199:i=619:add=on:rtra=on_2984 on theBenchmark for (2984ds/619Mi)
% 10.40/2.33 % (1031267)Refutation not found, incomplete strategy
% 10.40/2.33 % (1031267)------------------------------
% 10.40/2.33 % (1031267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.40/2.33 % (1031267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.33 % (1031267)CaDiCaL version: 2.1.3
% 10.40/2.33 % (1031267)Termination reason: Refutation not found, incomplete strategy
% 10.40/2.33 % (1031267)Time elapsed: 0.006 s
% 10.40/2.33 % (1031267)Peak memory usage: 12 MB
% 10.40/2.33 % (1031267)Instructions burned: 2 (million)
% 10.40/2.33 % (1031267)------------------------------
% 10.40/2.33 % (1031267)------------------------------
% 10.40/2.33 % (1031255)Instruction limit reached!
% 10.40/2.33 % (1031255)------------------------------
% 10.40/2.33 % (1031255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.40/2.33 % (1031255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.33 % (1031255)CaDiCaL version: 2.1.3
% 10.40/2.33 % (1031255)Termination reason: Instruction limit
% 10.40/2.33 % (1031255)Termination phase: Saturation
% 10.40/2.33 % (1031255)Time elapsed: 0.089 s
% 10.40/2.33 % (1031255)Peak memory usage: 12 MB
% 10.40/2.33 % (1031255)Instructions burned: 112 (million)
% 10.40/2.33 % (1031248)Instruction limit reached!
% 10.40/2.33 % (1031248)------------------------------
% 10.40/2.33 % (1031248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.40/2.33 % (1031248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.33 % (1031248)CaDiCaL version: 2.1.3
% 10.40/2.33 % (1031248)Termination reason: Instruction limit
% 10.40/2.33 % (1031248)Termination phase: Saturation
% 10.40/2.33 % (1031248)Time elapsed: 0.235 s
% 10.40/2.33 % (1031248)Peak memory usage: 12 MB
% 10.40/2.33 % (1031248)Instructions burned: 270 (million)
% 10.40/2.33 % (1031269)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=2048918756:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/865Mi)
% 10.40/2.33 % (1031273)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2559965435:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/130Mi)
% 10.40/2.33 % (1031272)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3775636680:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2984 on theBenchmark for (2984ds/212Mi)
% 10.40/2.33 % (1031273)Refutation not found, incomplete strategy
% 10.40/2.33 % (1031273)------------------------------
% 10.40/2.33 % (1031273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.40/2.33 % (1031273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.33 % (1031273)CaDiCaL version: 2.1.3
% 10.40/2.33 % (1031273)Termination reason: Refutation not found, incomplete strategy
% 10.40/2.33 % (1031273)Time elapsed: 0.001 s
% 10.40/2.33 % (1031273)Peak memory usage: 11 MB
% 10.40/2.33 % (1031273)------------------------------
% 10.40/2.33 % (1031273)------------------------------
% 10.40/2.33 % (1031274)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3378301527:st=1.5:i=346:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/346Mi)
% 10.40/2.33 % (1031274)Refutation not found, incomplete strategy
% 10.40/2.33 % (1031274)------------------------------
% 10.40/2.33 % (1031274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.40/2.33 % (1031274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/2.33 % (1031274)CaDiCaL version: 2.1.3
% 10.40/2.33 % (1031274)Termination reason: Refutation not found, incomplete strategy
% 10.40/2.33 % (1031274)Time elapsed: 0.001 s
% 10.40/2.33 % (1031272)Refutation not found, incomplete strategy
% 10.40/2.33 % (1031272)------------------------------
% 10.40/2.33 % (1031272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.40/2.33 % (1031272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.63 % (1031272)CaDiCaL version: 2.1.3
% 11.47/2.63 % (1031272)Termination reason: Refutation not found, incomplete strategy
% 11.47/2.63 % (1031272)Time elapsed: 0.012 s
% 11.47/2.63 % (1031272)Peak memory usage: 11 MB
% 11.47/2.63 % (1031272)------------------------------
% 11.47/2.63 % (1031272)------------------------------
% 11.47/2.63 % (1031274)Peak memory usage: 11 MB
% 11.47/2.63 % (1031274)Instructions burned: 1 (million)
% 11.47/2.63 % (1031274)------------------------------
% 11.47/2.63 % (1031274)------------------------------
% 11.47/2.63 % (1031278)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=4180761722:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/152Mi)
% 11.47/2.63 % (1031280)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3420629035:i=75:ep=R:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/75Mi)
% 11.47/2.63 % (1031281)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=979433756:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/387Mi)
% 11.47/2.63 % (1031281)Refutation not found, incomplete strategy
% 11.47/2.63 % (1031281)------------------------------
% 11.47/2.63 % (1031281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.63 % (1031281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.63 % (1031281)CaDiCaL version: 2.1.3
% 11.47/2.63 % (1031281)Termination reason: Refutation not found, incomplete strategy
% 11.47/2.63 % (1031281)Time elapsed: 0.002 s
% 11.47/2.63 % (1031281)Peak memory usage: 11 MB
% 11.47/2.63 % (1031281)Instructions burned: 1 (million)
% 11.47/2.63 % (1031281)------------------------------
% 11.47/2.63 % (1031281)------------------------------
% 11.47/2.63 % (1031285)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=2891056459:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2982 on theBenchmark for (2982ds/148Mi)
% 11.47/2.63 % (1031265)Instruction limit reached!
% 11.47/2.63 % (1031265)------------------------------
% 11.47/2.63 % (1031265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.63 % (1031265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.63 % (1031265)CaDiCaL version: 2.1.3
% 11.47/2.63 % (1031265)Termination reason: Instruction limit
% 11.47/2.63 % (1031265)Termination phase: Saturation
% 11.47/2.63 % (1031265)Time elapsed: 0.242 s
% 11.47/2.63 % (1031265)Peak memory usage: 13 MB
% 11.47/2.63 % (1031265)Instructions burned: 282 (million)
% 11.47/2.63 % (1031280)Instruction limit reached!
% 11.47/2.63 % (1031280)------------------------------
% 11.47/2.63 % (1031280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.63 % (1031280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.63 % (1031280)CaDiCaL version: 2.1.3
% 11.47/2.63 % (1031280)Termination reason: Instruction limit
% 11.47/2.63 % (1031280)Termination phase: Saturation
% 11.47/2.63 % (1031280)Time elapsed: 0.086 s
% 11.47/2.63 % (1031280)Peak memory usage: 12 MB
% 11.47/2.63 % (1031280)Instructions burned: 75 (million)
% 11.47/2.63 % (1031288)lrs+10_1_sil=128000:si=on:random_seed=957075441:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/888Mi)
% 11.47/2.63 % (1031287)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2252997348:i=161:piset=and:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/161Mi)
% 11.47/2.63 % (1031288)Refutation not found, incomplete strategy
% 11.47/2.63 % (1031288)------------------------------
% 11.47/2.63 % (1031288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.63 % (1031288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.63 % (1031288)CaDiCaL version: 2.1.3
% 11.47/2.63 % (1031288)Termination reason: Refutation not found, incomplete strategy
% 11.47/2.63 % (1031288)Time elapsed: 0.001 s
% 11.47/2.63 % (1031288)Peak memory usage: 11 MB
% 11.47/2.63 % (1031288)------------------------------
% 11.47/2.63 % (1031288)------------------------------
% 11.47/2.63 % (1031278)Instruction limit reached!
% 11.47/2.63 % (1031278)------------------------------
% 11.47/2.63 % (1031278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.63 % (1031278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.63 % (1031278)CaDiCaL version: 2.1.3
% 11.47/2.63 % (1031278)Termination reason: Instruction limit
% 12.44/2.85 % (1031278)Termination phase: Saturation
% 12.44/2.85 % (1031278)Time elapsed: 0.124 s
% 12.44/2.85 % (1031278)Peak memory usage: 12 MB
% 12.44/2.85 % (1031278)Instructions burned: 152 (million)
% 12.44/2.85 % (1031292)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=938286401:i=88:s2at=3:nm=2:rtra=on:rawr=on_2981 on theBenchmark for (2981ds/88Mi)
% 12.44/2.85 % (1031291)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=3049266466:i=136:add=on:ins=4:rtra=on:sup=off_2981 on theBenchmark for (2981ds/136Mi)
% 12.44/2.85 % (1031292)Instruction limit reached!
% 12.44/2.85 % (1031292)------------------------------
% 12.44/2.85 % (1031292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.85 % (1031292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.85 % (1031292)CaDiCaL version: 2.1.3
% 12.44/2.85 % (1031292)Termination reason: Instruction limit
% 12.44/2.85 % (1031292)Termination phase: Saturation
% 12.44/2.85 % (1031292)Time elapsed: 0.041 s
% 12.44/2.85 % (1031292)Peak memory usage: 12 MB
% 12.44/2.85 % (1031292)Instructions burned: 91 (million)
% 12.44/2.85 % (1031285)Instruction limit reached!
% 12.44/2.85 % (1031285)------------------------------
% 12.44/2.85 % (1031285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.85 % (1031285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.85 % (1031285)CaDiCaL version: 2.1.3
% 12.44/2.85 % (1031285)Termination reason: Instruction limit
% 12.44/2.85 % (1031285)Termination phase: Saturation
% 12.44/2.85 % (1031285)Time elapsed: 0.143 s
% 12.44/2.85 % (1031285)Peak memory usage: 12 MB
% 12.44/2.85 % (1031285)Instructions burned: 148 (million)
% 12.44/2.85 % (1031296)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=530679017:i=2186:rtra=on:ixr=off_2980 on theBenchmark for (2980ds/2186Mi)
% 12.44/2.85 % (1031295)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3193334454:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2981 on theBenchmark for (2981ds/93Mi)
% 12.44/2.85 % (1031287)Instruction limit reached!
% 12.44/2.85 % (1031287)------------------------------
% 12.44/2.85 % (1031287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.85 % (1031287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.85 % (1031287)CaDiCaL version: 2.1.3
% 12.44/2.85 % (1031287)Termination reason: Instruction limit
% 12.44/2.85 % (1031287)Termination phase: Saturation
% 12.44/2.85 % (1031287)Time elapsed: 0.107 s
% 12.44/2.85 % (1031287)Peak memory usage: 12 MB
% 12.44/2.85 % (1031287)Instructions burned: 162 (million)
% 12.44/2.85 % (1031291)Instruction limit reached!
% 12.44/2.85 % (1031291)------------------------------
% 12.44/2.85 % (1031291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.85 % (1031291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.85 % (1031291)CaDiCaL version: 2.1.3
% 12.44/2.85 % (1031291)Termination reason: Instruction limit
% 12.44/2.85 % (1031291)Termination phase: Saturation
% 12.44/2.85 % (1031291)Time elapsed: 0.095 s
% 12.44/2.85 % (1031291)Peak memory usage: 12 MB
% 12.44/2.85 % (1031291)Instructions burned: 136 (million)
% 12.44/2.85 % (1031299)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2200770307:s2a=on:i=240:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/240Mi)
% 12.44/2.85 % (1031300)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=819540516:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2980 on theBenchmark for (2980ds/805Mi)
% 12.44/2.85 % (1031253)Instruction limit reached!
% 12.44/2.85 % (1031253)------------------------------
% 12.44/2.85 % (1031253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.44/2.85 % (1031253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.44/2.85 % (1031253)CaDiCaL version: 2.1.3
% 12.44/2.85 % (1031253)Termination reason: Instruction limit
% 12.44/2.85 % (1031253)Termination phase: Saturation
% 12.44/2.85 % (1031253)Time elapsed: 0.556 s
% 12.44/2.85 % (1031253)Peak memory usage: 13 MB
% 12.44/2.85 % (1031253)Instructions burned: 1441 (million)
% 12.44/2.85 % (1031295)Instruction limit reached!
% 12.44/2.85 % (1031295)------------------------------
% 12.44/2.85 % (1031295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.04/3.07 % (1031295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/3.07 % (1031295)CaDiCaL version: 2.1.3
% 13.04/3.07 % (1031295)Termination reason: Instruction limit
% 13.04/3.07 % (1031295)Termination phase: Saturation
% 13.04/3.07 % (1031295)Time elapsed: 0.078 s
% 13.04/3.07 % (1031295)Peak memory usage: 13 MB
% 13.04/3.07 % (1031295)Instructions burned: 93 (million)
% 13.04/3.07 % (1031303)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 13.04/3.07 % (1031303)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=2325766703:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2979 on theBenchmark for (2979ds/391Mi)
% 13.04/3.07 % (1031303)Refutation not found, incomplete strategy
% 13.04/3.07 % (1031303)------------------------------
% 13.04/3.07 % (1031303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.04/3.07 % (1031303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/3.07 % (1031303)CaDiCaL version: 2.1.3
% 13.04/3.07 % (1031303)Termination reason: Refutation not found, incomplete strategy
% 13.04/3.07 % (1031303)Time elapsed: 0.002 s
% 13.04/3.07 % (1031303)Peak memory usage: 11 MB
% 13.04/3.07 % (1031303)Instructions burned: 1 (million)
% 13.04/3.07 % (1031303)------------------------------
% 13.04/3.07 % (1031303)------------------------------
% 13.04/3.07 % (1031304)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3371664121:i=355:av=off:fsr=off:rtra=on:ixr=off_2979 on theBenchmark for (2979ds/355Mi)
% 13.04/3.07 % (1031299)Instruction limit reached!
% 13.04/3.07 % (1031299)------------------------------
% 13.04/3.07 % (1031299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.04/3.07 % (1031299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/3.07 % (1031299)CaDiCaL version: 2.1.3
% 13.04/3.07 % (1031299)Termination reason: Instruction limit
% 13.04/3.07 % (1031299)Termination phase: Saturation
% 13.04/3.07 % (1031299)Time elapsed: 0.099 s
% 13.04/3.07 % (1031299)Peak memory usage: 13 MB
% 13.04/3.07 % (1031299)Instructions burned: 240 (million)
% 13.04/3.07 % (1031306)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3379238413:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/314Mi)
% 13.04/3.07 % (1031306)Refutation not found, incomplete strategy
% 13.04/3.07 % (1031306)------------------------------
% 13.04/3.07 % (1031306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.04/3.07 % (1031306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/3.07 % (1031306)CaDiCaL version: 2.1.3
% 13.04/3.07 % (1031306)Termination reason: Refutation not found, incomplete strategy
% 13.04/3.07 % (1031306)Time elapsed: 0.001 s
% 13.04/3.07 % (1031306)Peak memory usage: 11 MB
% 13.04/3.07 % (1031306)------------------------------
% 13.04/3.07 % (1031306)------------------------------
% 13.04/3.07 % (1031308)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2579097851:s2a=on:i=251:fsr=off:rtra=on_2979 on theBenchmark for (2979ds/251Mi)
% 13.04/3.07 % (1031310)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=1079435567: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_2979 on theBenchmark for (2979ds/2470Mi)
% 13.04/3.07 % (1031308)Instruction limit reached!
% 13.04/3.07 % (1031308)------------------------------
% 13.04/3.07 % (1031308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.04/3.07 % (1031308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/3.07 % (1031308)CaDiCaL version: 2.1.3
% 13.04/3.07 % (1031308)Termination reason: Instruction limit
% 13.04/3.07 % (1031308)Termination phase: Saturation
% 13.04/3.07 % (1031308)Time elapsed: 0.142 s
% 13.04/3.07 % (1031308)Peak memory usage: 13 MB
% 13.04/3.07 % (1031308)Instructions burned: 252 (million)
% 13.04/3.07 % (1031313)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2452251046:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2977 on theBenchmark for (2977ds/673Mi)
% 13.04/3.07 % (1031269)Instruction limit reached!
% 13.04/3.07 % (1031269)------------------------------
% 15.64/3.22 % (1031269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.64/3.22 % (1031269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/3.22 % (1031269)CaDiCaL version: 2.1.3
% 15.64/3.22 % (1031269)Termination reason: Instruction limit
% 15.64/3.22 % (1031269)Termination phase: Saturation
% 15.64/3.22 % (1031269)Time elapsed: 0.722 s
% 15.64/3.22 % (1031269)Peak memory usage: 15 MB
% 15.64/3.22 % (1031269)Instructions burned: 866 (million)
% 15.64/3.22 % (1031304)Instruction limit reached!
% 15.64/3.22 % (1031304)------------------------------
% 15.64/3.22 % (1031304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.64/3.22 % (1031304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/3.22 % (1031304)CaDiCaL version: 2.1.3
% 15.64/3.22 % (1031304)Termination reason: Instruction limit
% 15.64/3.22 % (1031304)Termination phase: Saturation
% 15.64/3.22 % (1031304)Time elapsed: 0.271 s
% 15.64/3.22 % (1031304)Peak memory usage: 12 MB
% 15.64/3.22 % (1031304)Instructions burned: 356 (million)
% 15.64/3.22 % (1031300)Instruction limit reached!
% 15.64/3.22 % (1031300)------------------------------
% 15.64/3.22 % (1031300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.64/3.22 % (1031300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/3.22 % (1031300)CaDiCaL version: 2.1.3
% 15.64/3.22 % (1031300)Termination reason: Instruction limit
% 15.64/3.22 % (1031300)Termination phase: Saturation
% 15.64/3.22 % (1031300)Time elapsed: 0.327 s
% 15.64/3.22 % (1031300)Peak memory usage: 13 MB
% 15.64/3.22 % (1031300)Instructions burned: 806 (million)
% 15.64/3.22 % (1031316)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2366647121:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2976 on theBenchmark for (2976ds/270Mi)
% 15.64/3.22 % (1031315)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3081958715:i=116:ep=RSTC:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/116Mi)
% 15.64/3.22 % (1031317)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=60383226: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_2976 on theBenchmark for (2976ds/30Mi)
% 15.64/3.22 % (1031317)Instruction limit reached!
% 15.64/3.22 % (1031317)------------------------------
% 15.64/3.22 % (1031317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.64/3.22 % (1031317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/3.22 % (1031317)CaDiCaL version: 2.1.3
% 15.64/3.22 % (1031317)Termination reason: Instruction limit
% 15.64/3.22 % (1031317)Termination phase: Saturation
% 15.64/3.22 % (1031317)Time elapsed: 0.023 s
% 15.64/3.22 % (1031317)Peak memory usage: 12 MB
% 15.64/3.22 % (1031317)Instructions burned: 30 (million)
% 15.64/3.22 % (1031321)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 15.64/3.22 % (1031321)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=82552028:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2975 on theBenchmark for (2975ds/39Mi)
% 15.64/3.22 % (1031315)Instruction limit reached!
% 15.64/3.22 % (1031315)------------------------------
% 15.64/3.22 % (1031315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.64/3.22 % (1031315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/3.22 % (1031315)CaDiCaL version: 2.1.3
% 15.64/3.22 % (1031315)Termination reason: Instruction limit
% 15.64/3.22 % (1031315)Termination phase: Saturation
% 15.64/3.22 % (1031315)Time elapsed: 0.111 s
% 15.64/3.22 % (1031315)Peak memory usage: 12 MB
% 15.64/3.22 % (1031315)Instructions burned: 116 (million)
% 15.64/3.22 % (1031323)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=723178040:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2975 on theBenchmark for (2975ds/365Mi)
% 15.64/3.22 % (1031321)Instruction limit reached!
% 15.64/3.22 % (1031321)------------------------------
% 15.64/3.22 % (1031321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.64/3.22 % (1031321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/3.22 % (1031321)CaDiCaL version: 2.1.3
% 15.64/3.22 % (1031321)Termination reason: Instruction limit
% 17.86/3.52 % (1031321)Termination phase: Saturation
% 17.86/3.52 % (1031321)Time elapsed: 0.061 s
% 17.86/3.52 % (1031321)Peak memory usage: 12 MB
% 17.86/3.52 % (1031321)Instructions burned: 39 (million)
% 17.86/3.52 % (1031313)Instruction limit reached!
% 17.86/3.52 % (1031313)------------------------------
% 17.86/3.52 % (1031313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/3.52 % (1031313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.52 % (1031313)CaDiCaL version: 2.1.3
% 17.86/3.52 % (1031313)Termination reason: Instruction limit
% 17.86/3.52 % (1031313)Termination phase: Saturation
% 17.86/3.52 % (1031313)Time elapsed: 0.296 s
% 17.86/3.52 % (1031313)Peak memory usage: 12 MB
% 17.86/3.52 % (1031313)Instructions burned: 675 (million)
% 17.86/3.52 % (1031325)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2468305888:i=158:av=off:rtra=on_2974 on theBenchmark for (2974ds/158Mi)
% 17.86/3.52 % (1031326)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
% 17.86/3.52 % (1031326)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=2560543962:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/252Mi)
% 17.86/3.52 % (1031316)Instruction limit reached!
% 17.86/3.52 % (1031316)------------------------------
% 17.86/3.52 % (1031316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/3.52 % (1031316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.52 % (1031316)CaDiCaL version: 2.1.3
% 17.86/3.52 % (1031316)Termination reason: Instruction limit
% 17.86/3.52 % (1031316)Termination phase: Saturation
% 17.86/3.52 % (1031316)Time elapsed: 0.312 s
% 17.86/3.52 % (1031316)Peak memory usage: 12 MB
% 17.86/3.52 % (1031316)Instructions burned: 270 (million)
% 17.86/3.52 % (1031325)Instruction limit reached!
% 17.86/3.52 % (1031325)------------------------------
% 17.86/3.52 % (1031325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/3.52 % (1031325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.52 % (1031325)CaDiCaL version: 2.1.3
% 17.86/3.52 % (1031325)Termination reason: Instruction limit
% 17.86/3.52 % (1031325)Termination phase: Saturation
% 17.86/3.52 % (1031325)Time elapsed: 0.124 s
% 17.86/3.52 % (1031325)Peak memory usage: 12 MB
% 17.86/3.52 % (1031325)Instructions burned: 159 (million)
% 17.86/3.52 % (1031330)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=3450690137:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/160Mi)
% 17.86/3.52 % (1031329)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=4270849512:i=213:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/213Mi)
% 17.86/3.52 % (1031330)Refutation not found, incomplete strategy
% 17.86/3.52 % (1031330)------------------------------
% 17.86/3.52 % (1031330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/3.52 % (1031330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.52 % (1031330)CaDiCaL version: 2.1.3
% 17.86/3.52 % (1031330)Termination reason: Refutation not found, incomplete strategy
% 17.86/3.52 % (1031330)Time elapsed: 0.0000 s
% 17.86/3.52 % (1031330)Peak memory usage: 11 MB
% 17.86/3.52 % (1031330)Instructions burned: 1 (million)
% 17.86/3.52 % (1031329)Refutation not found, incomplete strategy
% 17.86/3.52 % (1031329)------------------------------
% 17.86/3.52 % (1031329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/3.52 % (1031329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.52 % (1031329)CaDiCaL version: 2.1.3
% 17.86/3.52 % (1031329)Termination reason: Refutation not found, incomplete strategy
% 17.86/3.52 % (1031329)Time elapsed: 0.001 s
% 17.86/3.52 % (1031329)Peak memory usage: 12 MB
% 17.86/3.52 % (1031330)------------------------------
% 17.86/3.52 % (1031330)------------------------------
% 17.86/3.52 % (1031329)------------------------------
% 17.86/3.52 % (1031329)------------------------------
% 17.86/3.52 % (1031323)Instruction limit reached!
% 17.86/3.52 % (1031323)------------------------------
% 17.86/3.52 % (1031323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/3.52 % (1031323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.41/3.62 % (1031323)CaDiCaL version: 2.1.3
% 18.41/3.62 % (1031323)Termination reason: Instruction limit
% 18.41/3.62 % (1031323)Termination phase: Saturation
% 18.41/3.62 % (1031323)Time elapsed: 0.222 s
% 18.41/3.62 % (1031323)Peak memory usage: 13 MB
% 18.41/3.62 % (1031323)Instructions burned: 366 (million)
% 18.41/3.62 % (1031334)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 18.41/3.62 % (1031334)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=1495107235:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2972 on theBenchmark for (2972ds/237Mi)
% 18.41/3.62 % (1031334)Refutation not found, incomplete strategy
% 18.41/3.62 % (1031334)------------------------------
% 18.41/3.62 % (1031334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.41/3.62 % (1031334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.41/3.62 % (1031334)CaDiCaL version: 2.1.3
% 18.41/3.62 % (1031334)Termination reason: Refutation not found, incomplete strategy
% 18.41/3.62 % (1031334)Time elapsed: 0.0000 s
% 18.41/3.62 % (1031334)Peak memory usage: 11 MB
% 18.41/3.62 % (1031334)------------------------------
% 18.41/3.62 % (1031334)------------------------------
% 18.41/3.62 % (1031333)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2734749904:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/763Mi)
% 18.41/3.62 % (1031337)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=4087339732:i=300:piset=and:nm=32:rtra=on_2972 on theBenchmark for (2972ds/300Mi)
% 18.41/3.62 % (1031335)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=4047101321:s2a=on:i=386:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/386Mi)
% 18.41/3.62 % (1031326)Instruction limit reached!
% 18.41/3.62 % (1031326)------------------------------
% 18.41/3.62 % (1031326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.41/3.62 % (1031326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.41/3.62 % (1031326)CaDiCaL version: 2.1.3
% 18.41/3.62 % (1031326)Termination reason: Instruction limit
% 18.41/3.62 % (1031326)Termination phase: Saturation
% 18.41/3.62 % (1031326)Time elapsed: 0.190 s
% 18.41/3.62 % (1031326)Peak memory usage: 12 MB
% 18.41/3.62 % (1031326)Instructions burned: 253 (million)
% 18.41/3.62 % (1031341)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=710356100:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/567Mi)
% 18.41/3.62 % (1031341)Refutation not found, incomplete strategy
% 18.41/3.62 % (1031341)------------------------------
% 18.41/3.62 % (1031341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.41/3.62 % (1031341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.41/3.62 % (1031341)CaDiCaL version: 2.1.3
% 18.41/3.62 % (1031341)Termination reason: Refutation not found, incomplete strategy
% 18.41/3.62 % (1031341)Time elapsed: 0.002 s
% 18.41/3.62 % (1031341)Peak memory usage: 12 MB
% 18.41/3.62 % (1031341)Instructions burned: 1 (million)
% 18.41/3.62 % (1031341)------------------------------
% 18.41/3.62 % (1031341)------------------------------
% 18.41/3.62 % (1031343)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3585548030:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2971 on theBenchmark for (2971ds/379Mi)
% 18.41/3.62 % (1031343)Refutation not found, incomplete strategy
% 18.41/3.62 % (1031343)------------------------------
% 18.41/3.62 % (1031343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.41/3.62 % (1031343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.41/3.62 % (1031343)CaDiCaL version: 2.1.3
% 18.41/3.62 % (1031343)Termination reason: Refutation not found, incomplete strategy
% 18.41/3.62 % (1031343)Time elapsed: 0.001 s
% 18.41/3.62 % (1031343)Peak memory usage: 12 MB
% 18.41/3.62 % (1031343)------------------------------
% 18.41/3.62 % (1031343)------------------------------
% 18.41/3.62 % (1031345)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=572955192:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2971 on theBenchmark for (2971ds/429Mi)
% 18.41/3.62 % (1031337)Instruction limit reached!
% 18.41/3.62 % (1031337)------------------------------
% 19.26/3.72 % (1031337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.26/3.72 % (1031337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.26/3.72 % (1031337)CaDiCaL version: 2.1.3
% 19.26/3.72 % (1031337)Termination reason: Instruction limit
% 19.26/3.72 % (1031337)Termination phase: Saturation
% 19.26/3.72 % (1031337)Time elapsed: 0.123 s
% 19.26/3.72 % (1031337)Peak memory usage: 12 MB
% 19.26/3.72 % (1031337)Instructions burned: 302 (million)
% 19.26/3.72 % (1031347)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3850529872:i=478:bd=all:rtra=on_2971 on theBenchmark for (2971ds/478Mi)
% 19.26/3.72 % (1031347)Refutation not found, incomplete strategy
% 19.26/3.72 % (1031347)------------------------------
% 19.26/3.72 % (1031347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.26/3.72 % (1031347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.26/3.72 % (1031347)CaDiCaL version: 2.1.3
% 19.26/3.72 % (1031347)Termination reason: Refutation not found, incomplete strategy
% 19.26/3.72 % (1031347)Time elapsed: 0.005 s
% 19.26/3.72 % (1031347)Peak memory usage: 11 MB
% 19.26/3.72 % (1031347)Instructions burned: 1 (million)
% 19.26/3.72 % (1031347)------------------------------
% 19.26/3.72 % (1031347)------------------------------
% 19.26/3.72 % (1031351)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1450240873:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2970 on theBenchmark for (2970ds/445Mi)
% 19.26/3.72 % (1031335)Instruction limit reached!
% 19.26/3.72 % (1031335)------------------------------
% 19.26/3.72 % (1031335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.26/3.72 % (1031335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.26/3.72 % (1031335)CaDiCaL version: 2.1.3
% 19.26/3.72 % (1031335)Termination reason: Instruction limit
% 19.26/3.72 % (1031335)Termination phase: Saturation
% 19.26/3.72 % (1031335)Time elapsed: 0.304 s
% 19.26/3.72 % (1031335)Peak memory usage: 12 MB
% 19.26/3.72 % (1031335)Instructions burned: 386 (million)
% 19.26/3.72 % (1031353)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=988959683:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2969 on theBenchmark for (2969ds/71Mi)
% 19.26/3.72 % (1031345)Instruction limit reached!
% 19.26/3.72 % (1031345)------------------------------
% 19.26/3.72 % (1031345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.26/3.72 % (1031345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.26/3.72 % (1031345)CaDiCaL version: 2.1.3
% 19.26/3.72 % (1031345)Termination reason: Instruction limit
% 19.26/3.72 % (1031345)Termination phase: Saturation
% 19.26/3.72 % (1031345)Time elapsed: 0.260 s
% 19.26/3.72 % (1031345)Peak memory usage: 12 MB
% 19.26/3.72 % (1031345)Instructions burned: 430 (million)
% 19.26/3.72 % (1031355)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2515568901:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/302Mi)
% 19.26/3.72 % (1031355)Refutation not found, incomplete strategy
% 19.26/3.72 % (1031355)------------------------------
% 19.26/3.72 % (1031355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.26/3.72 % (1031355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.26/3.72 % (1031355)CaDiCaL version: 2.1.3
% 19.26/3.72 % (1031355)Termination reason: Refutation not found, incomplete strategy
% 19.26/3.72 % (1031355)Time elapsed: 0.001 s
% 19.26/3.72 % (1031355)Peak memory usage: 11 MB
% 19.26/3.72 % (1031355)------------------------------
% 19.26/3.72 % (1031355)------------------------------
% 19.26/3.72 % (1031353)Instruction limit reached!
% 19.26/3.72 % (1031353)------------------------------
% 19.26/3.72 % (1031353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.26/3.72 % (1031353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.26/3.72 % (1031353)CaDiCaL version: 2.1.3
% 19.26/3.72 % (1031353)Termination reason: Instruction limit
% 19.26/3.72 % (1031353)Termination phase: Saturation
% 19.26/3.72 % (1031353)Time elapsed: 0.058 s
% 19.26/3.72 % (1031353)Peak memory usage: 12 MB
% 19.26/3.72 % (1031353)Instructions burned: 72 (million)
% 19.26/3.72 % (1031357)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=4172866556:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2968 on theBenchmark for (2968ds/4980Mi)
% 19.26/3.72 % (1031357)Refutation not found, incomplete strategy
% 19.26/3.72 % (1031357)------------------------------
% 19.80/3.95 % (1031357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/3.95 % (1031357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.95 % (1031357)CaDiCaL version: 2.1.3
% 19.80/3.95 % (1031357)Termination reason: Refutation not found, incomplete strategy
% 19.80/3.95 % (1031357)Time elapsed: 0.001 s
% 19.80/3.95 % (1031357)Peak memory usage: 12 MB
% 19.80/3.95 % (1031357)------------------------------
% 19.80/3.95 % (1031357)------------------------------
% 19.80/3.95 % (1031358)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
% 19.80/3.95 % (1031358)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 19.80/3.95 % (1031333)Instruction limit reached!
% 19.80/3.95 % (1031333)------------------------------
% 19.80/3.95 % (1031333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/3.95 % (1031333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.95 % (1031333)CaDiCaL version: 2.1.3
% 19.80/3.95 % (1031333)Termination reason: Instruction limit
% 19.80/3.95 % (1031333)Termination phase: Saturation
% 19.80/3.95 % (1031333)Time elapsed: 0.454 s
% 19.80/3.95 % (1031333)Peak memory usage: 13 MB
% 19.80/3.95 % (1031333)Instructions burned: 764 (million)
% 19.80/3.95 % (1031358)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3836100248:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2968 on theBenchmark for (2968ds/100Mi)
% 19.80/3.95 % (1031362)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=1964771614:i=289:rtra=on_2967 on theBenchmark for (2967ds/289Mi)
% 19.80/3.95 % (1031362)Refutation not found, incomplete strategy
% 19.80/3.95 % (1031362)------------------------------
% 19.80/3.95 % (1031362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/3.95 % (1031362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.95 % (1031362)CaDiCaL version: 2.1.3
% 19.80/3.95 % (1031362)Termination reason: Refutation not found, incomplete strategy
% 19.80/3.95 % (1031362)Time elapsed: 0.001 s
% 19.80/3.95 % (1031362)Peak memory usage: 11 MB
% 19.80/3.95 % (1031362)Instructions burned: 1 (million)
% 19.80/3.95 % (1031360)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=3622330967:i=76:piset=equals:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/76Mi)
% 19.80/3.95 % (1031362)------------------------------
% 19.80/3.95 % (1031362)------------------------------
% 19.80/3.95 % (1031365)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=2874054255:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2967 on theBenchmark for (2967ds/493Mi)
% 19.80/3.95 % (1031358)Instruction limit reached!
% 19.80/3.95 % (1031358)------------------------------
% 19.80/3.95 % (1031358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/3.95 % (1031358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.95 % (1031358)CaDiCaL version: 2.1.3
% 19.80/3.95 % (1031358)Termination reason: Instruction limit
% 19.80/3.95 % (1031358)Termination phase: Saturation
% 19.80/3.95 % (1031358)Time elapsed: 0.049 s
% 19.80/3.95 % (1031358)Peak memory usage: 12 MB
% 19.80/3.95 % (1031358)Instructions burned: 102 (million)
% 19.80/3.95 % (1031367)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=2419783465:cond=on:i=34:hud=10:nm=10:rtra=on_2967 on theBenchmark for (2967ds/34Mi)
% 19.80/3.95 % (1031360)Instruction limit reached!
% 19.80/3.95 % (1031360)------------------------------
% 19.80/3.95 % (1031360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/3.95 % (1031360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.95 % (1031360)CaDiCaL version: 2.1.3
% 19.80/3.95 % (1031360)Termination reason: Instruction limit
% 19.80/3.95 % (1031360)Termination phase: Saturation
% 19.80/3.95 % (1031360)Time elapsed: 0.066 s
% 19.80/3.95 % (1031360)Peak memory usage: 12 MB
% 19.80/3.95 % (1031360)Instructions burned: 77 (million)
% 22.45/4.20 % (1031367)Instruction limit reached!
% 22.45/4.20 % (1031367)------------------------------
% 22.45/4.20 % (1031367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.45/4.20 % (1031367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/4.20 % (1031367)CaDiCaL version: 2.1.3
% 22.45/4.20 % (1031367)Termination reason: Instruction limit
% 22.45/4.20 % (1031367)Termination phase: Saturation
% 22.45/4.20 % (1031367)Time elapsed: 0.024 s
% 22.45/4.20 % (1031367)Peak memory usage: 12 MB
% 22.45/4.20 % (1031367)Instructions burned: 41 (million)
% 22.45/4.20 % (1031369)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 22.45/4.20 % (1031369)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=725576310:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2966 on theBenchmark for (2966ds/372Mi)
% 22.45/4.20 % (1031369)Refutation not found, incomplete strategy
% 22.45/4.20 % (1031369)------------------------------
% 22.45/4.20 % (1031369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.45/4.20 % (1031369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/4.20 % (1031369)CaDiCaL version: 2.1.3
% 22.45/4.20 % (1031369)Termination reason: Refutation not found, incomplete strategy
% 22.45/4.20 % (1031369)Time elapsed: 0.001 s
% 22.45/4.20 % (1031369)Peak memory usage: 12 MB
% 22.45/4.20 % (1031369)Instructions burned: 2 (million)
% 22.45/4.20 % (1031369)------------------------------
% 22.45/4.20 % (1031369)------------------------------
% 22.45/4.20 % (1031370)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2088142854:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2966 on theBenchmark for (2966ds/670Mi)
% 22.45/4.20 % (1031351)Instruction limit reached!
% 22.45/4.20 % (1031351)------------------------------
% 22.45/4.20 % (1031351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.45/4.20 % (1031351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/4.20 % (1031351)CaDiCaL version: 2.1.3
% 22.45/4.20 % (1031351)Termination reason: Instruction limit
% 22.45/4.20 % (1031351)Termination phase: Saturation
% 22.45/4.20 % (1031351)Time elapsed: 0.373 s
% 22.45/4.20 % (1031351)Peak memory usage: 14 MB
% 22.45/4.20 % (1031351)Instructions burned: 445 (million)
% 22.45/4.20 % (1031372)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=721193540:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2966 on theBenchmark for (2966ds/647Mi)
% 22.45/4.20 % (1031296)Instruction limit reached!
% 22.45/4.20 % (1031296)------------------------------
% 22.45/4.20 % (1031296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.45/4.20 % (1031296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/4.20 % (1031296)CaDiCaL version: 2.1.3
% 22.45/4.20 % (1031296)Termination reason: Instruction limit
% 22.45/4.20 % (1031296)Termination phase: Saturation
% 22.45/4.20 % (1031296)Time elapsed: 1.454 s
% 22.45/4.20 % (1031296)Peak memory usage: 13 MB
% 22.45/4.20 % (1031296)Instructions burned: 2187 (million)
% 22.45/4.20 % (1031372)Refutation not found, incomplete strategy
% 22.45/4.20 % (1031372)------------------------------
% 22.45/4.20 % (1031372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.45/4.20 % (1031372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/4.20 % (1031372)CaDiCaL version: 2.1.3
% 22.45/4.20 % (1031372)Termination reason: Refutation not found, incomplete strategy
% 22.45/4.20 % (1031372)Time elapsed: 0.001 s
% 22.45/4.20 % (1031372)Peak memory usage: 11 MB
% 22.45/4.20 % (1031372)------------------------------
% 22.45/4.20 % (1031372)------------------------------
% 22.45/4.20 % (1031374)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=833307218:i=857:add=off:kws=frequency:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/857Mi)
% 22.45/4.20 % (1031378)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3800304252:i=285:hud=10:bd=all:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/285Mi)
% 22.45/4.20 % (1031378)Refutation not found, incomplete strategy
% 22.45/4.20 % (1031378)------------------------------
% 22.45/4.20 % (1031378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.19/4.46 % (1031378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.19/4.46 % (1031378)CaDiCaL version: 2.1.3
% 24.19/4.46 % (1031378)Termination reason: Refutation not found, incomplete strategy
% 24.19/4.46 % (1031378)Time elapsed: 0.001 s
% 24.19/4.46 % (1031378)Peak memory usage: 11 MB
% 24.19/4.46 % (1031378)Instructions burned: 1 (million)
% 24.19/4.46 % (1031378)------------------------------
% 24.19/4.46 % (1031378)------------------------------
% 24.19/4.46 % (1031376)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=3593390060:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2966 on theBenchmark for (2966ds/693Mi)
% 24.19/4.46 % (1031380)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 24.19/4.46 % (1031380)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=2797402109:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2966 on theBenchmark for (2966ds/52Mi)
% 24.19/4.46 % (1031380)Instruction limit reached!
% 24.19/4.46 % (1031380)------------------------------
% 24.19/4.46 % (1031380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.19/4.46 % (1031380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.19/4.46 % (1031380)CaDiCaL version: 2.1.3
% 24.19/4.46 % (1031380)Termination reason: Instruction limit
% 24.19/4.46 % (1031380)Termination phase: Saturation
% 24.19/4.46 % (1031380)Time elapsed: 0.024 s
% 24.19/4.46 % (1031380)Peak memory usage: 12 MB
% 24.19/4.46 % (1031380)Instructions burned: 54 (million)
% 24.19/4.46 % (1031383)dis+10_1_si=on:random_seed=1846678450:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2965 on theBenchmark for (2965ds/407Mi)
% 24.19/4.46 % (1031383)Refutation not found, incomplete strategy
% 24.19/4.46 % (1031383)------------------------------
% 24.19/4.46 % (1031383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.19/4.46 % (1031383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.19/4.46 % (1031383)CaDiCaL version: 2.1.3
% 24.19/4.46 % (1031383)Termination reason: Refutation not found, incomplete strategy
% 24.19/4.46 % (1031383)Time elapsed: 0.001 s
% 24.19/4.46 % (1031383)Peak memory usage: 12 MB
% 24.19/4.46 % (1031383)------------------------------
% 24.19/4.46 % (1031383)------------------------------
% 24.19/4.46 % (1031385)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=2435215762:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/2240Mi)
% 24.19/4.46 % (1031370)Instruction limit reached!
% 24.19/4.46 % (1031370)------------------------------
% 24.19/4.46 % (1031370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.19/4.46 % (1031370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.19/4.46 % (1031370)CaDiCaL version: 2.1.3
% 24.19/4.46 % (1031370)Termination reason: Instruction limit
% 24.19/4.46 % (1031370)Termination phase: Saturation
% 24.19/4.46 % (1031370)Time elapsed: 0.255 s
% 24.19/4.46 % (1031370)Peak memory usage: 12 MB
% 24.19/4.46 % (1031370)Instructions burned: 671 (million)
% 24.19/4.46 % (1031387)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=99075598:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2964 on theBenchmark for (2964ds/336Mi)
% 24.19/4.46 % (1031387)Refutation not found, incomplete strategy
% 24.19/4.46 % (1031387)------------------------------
% 24.19/4.46 % (1031387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.19/4.46 % (1031387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.19/4.46 % (1031387)CaDiCaL version: 2.1.3
% 24.19/4.46 % (1031387)Termination reason: Refutation not found, incomplete strategy
% 24.19/4.46 % (1031387)Time elapsed: 0.001 s
% 24.19/4.46 % (1031387)Peak memory usage: 12 MB
% 24.19/4.46 % (1031387)------------------------------
% 24.19/4.46 % (1031387)------------------------------
% 24.19/4.46 % (1031365)Instruction limit reached!
% 24.19/4.46 % (1031365)------------------------------
% 24.19/4.46 % (1031365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.19/4.46 % (1031365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.19/4.46 % (1031365)CaDiCaL version: 2.1.3
% 24.19/4.46 % (1031365)Termination reason: Instruction limit
% 26.15/4.89 % (1031365)Termination phase: Saturation
% 26.15/4.89 % (1031365)Time elapsed: 0.374 s
% 26.15/4.89 % (1031365)Peak memory usage: 13 MB
% 26.15/4.89 % (1031365)Instructions burned: 493 (million)
% 26.15/4.89 % (1031389)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=3194544561:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2963 on theBenchmark for (2963ds/1142Mi)
% 26.15/4.89 % (1031390)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1786975756:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2963 on theBenchmark for (2963ds/376Mi)
% 26.15/4.89 % (1031390)Refutation not found, incomplete strategy
% 26.15/4.89 % (1031390)------------------------------
% 26.15/4.89 % (1031390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.89 % (1031390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.89 % (1031390)CaDiCaL version: 2.1.3
% 26.15/4.89 % (1031390)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.89 % (1031390)Time elapsed: 0.001 s
% 26.15/4.89 % (1031390)Peak memory usage: 12 MB
% 26.15/4.89 % (1031390)------------------------------
% 26.15/4.89 % (1031390)------------------------------
% 26.15/4.89 % (1031393)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1602658150:i=766:bd=all:rtra=on_2963 on theBenchmark for (2963ds/766Mi)
% 26.15/4.89 % (1031393)Refutation not found, incomplete strategy
% 26.15/4.89 % (1031393)------------------------------
% 26.15/4.89 % (1031393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.89 % (1031393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.89 % (1031393)CaDiCaL version: 2.1.3
% 26.15/4.89 % (1031393)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.89 % (1031393)Time elapsed: 0.001 s
% 26.15/4.89 % (1031393)Peak memory usage: 12 MB
% 26.15/4.89 % (1031393)Instructions burned: 1 (million)
% 26.15/4.89 % (1031393)------------------------------
% 26.15/4.89 % (1031393)------------------------------
% 26.15/4.89 % (1031395)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 26.15/4.89 % (1031395)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=3437858922: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_2963 on theBenchmark for (2963ds/959Mi)
% 26.15/4.89 % (1031395)Refutation not found, incomplete strategy
% 26.15/4.89 % (1031395)------------------------------
% 26.15/4.89 % (1031395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.89 % (1031395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.89 % (1031395)CaDiCaL version: 2.1.3
% 26.15/4.89 % (1031395)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.89 % (1031395)Time elapsed: 0.0000 s
% 26.15/4.89 % (1031395)Peak memory usage: 11 MB
% 26.15/4.89 % (1031395)------------------------------
% 26.15/4.89 % (1031395)------------------------------
% 26.15/4.89 % (1031397)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=2649392216:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2962 on theBenchmark for (2962ds/6359Mi)
% 26.15/4.89 % (1031376)Instruction limit reached!
% 26.15/4.89 % (1031376)------------------------------
% 26.15/4.89 % (1031376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.89 % (1031376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.89 % (1031376)CaDiCaL version: 2.1.3
% 26.15/4.89 % (1031376)Termination reason: Instruction limit
% 26.15/4.89 % (1031376)Termination phase: Saturation
% 26.15/4.89 % (1031376)Time elapsed: 0.447 s
% 26.15/4.89 % (1031376)Peak memory usage: 12 MB
% 26.15/4.89 % (1031376)Instructions burned: 693 (million)
% 26.15/4.89 % (1031399)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3449035738:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2961 on theBenchmark for (2961ds/35Mi)
% 26.15/4.89 % (1031399)Refutation not found, incomplete strategy
% 26.15/4.89 % (1031399)------------------------------
% 26.15/4.89 % (1031399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.89 % (1031399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.89 % (1031399)CaDiCaL version: 2.1.3
% 26.15/4.89 % (1031399)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.89 % (1031399)Time elapsed: 0.001 s
% 26.15/4.89 % (1031399)Peak memory usage: 11 MB
% 26.15/4.89 % (1031399)------------------------------
% 26.15/4.89 % (1031399)------------------------------
% 26.15/4.89 % (1031401)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=532202630:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2961 on theBenchmark for (2961ds/53Mi)
% 26.15/4.89 % (1031374)Instruction limit reached!
% 26.15/4.89 % (1031374)------------------------------
% 26.15/4.89 % (1031374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.89 % (1031374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.89 % (1031374)CaDiCaL version: 2.1.3
% 26.15/4.89 % (1031374)Termination reason: Instruction limit
% 26.15/4.89 % (1031374)Termination phase: Saturation
% 26.15/4.89 % (1031374)Time elapsed: 0.538 s
% 26.15/4.89 % (1031374)Peak memory usage: 12 MB
% 26.15/4.89 % (1031374)Instructions burned: 858 (million)
% 26.15/4.89 % (1031403)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=1020892524:s2a=on:i=876:s2at=6:nm=2:rtra=on_2960 on theBenchmark for (2960ds/876Mi)
% 26.15/4.89 % (1031401)Instruction limit reached!
% 26.15/4.89 % (1031401)------------------------------
% 26.15/4.89 % (1031401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.89 % (1031401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.89 % (1031401)CaDiCaL version: 2.1.3
% 26.15/4.89 % (1031401)Termination reason: Instruction limit
% 26.15/4.89 % (1031401)Termination phase: Saturation
% 26.15/4.89 % (1031401)Time elapsed: 0.047 s
% 26.15/4.89 % (1031401)Peak memory usage: 12 MB
% 26.15/4.89 % (1031401)Instructions burned: 53 (million)
% 26.15/4.89 % (1031405)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4031693685:i=57:ep=R:rtra=on:ntd=on_2960 on theBenchmark for (2960ds/57Mi)
% 26.15/4.89 % (1031405)Instruction limit reached!
% 26.15/4.89 % (1031405)------------------------------
% 26.15/4.89 % (1031405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.89 % (1031405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.89 % (1031405)CaDiCaL version: 2.1.3
% 26.15/4.89 % (1031405)Termination reason: Instruction limit
% 26.15/4.89 % (1031405)Termination phase: Saturation
% 26.15/4.89 % (1031405)Time elapsed: 0.050 s
% 26.15/4.89 % (1031405)Peak memory usage: 12 MB
% 26.15/4.89 % (1031405)Instructions burned: 58 (million)
% 26.15/4.89 % (1031407)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 26.15/4.89 % (1031407)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=877030179:i=306:bd=all:rtra=on_2959 on theBenchmark for (2959ds/306Mi)
% 26.15/4.89 % (1031407)Refutation not found, incomplete strategy
% 26.15/4.89 % (1031407)------------------------------
% 26.15/4.89 % (1031407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.89 % (1031407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.89 % (1031407)CaDiCaL version: 2.1.3
% 26.15/4.89 % (1031407)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.89 % (1031407)Time elapsed: 0.003 s
% 26.15/4.89 % (1031407)Peak memory usage: 12 MB
% 26.15/4.89 % (1031407)Instructions burned: 1 (million)
% 26.15/4.89 % (1031407)------------------------------
% 26.15/4.89 % (1031407)------------------------------
% 26.15/4.89 % (1031310)Instruction limit reached!
% 26.15/4.89 % (1031310)------------------------------
% 26.15/4.89 % (1031310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.89 % (1031310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.89 % (1031310)CaDiCaL version: 2.1.3
% 26.15/4.89 % (1031310)Termination reason: Instruction limit
% 26.15/4.89 % (1031310)Termination phase: Saturation
% 26.15/4.89 % (1031310)Time elapsed: 1.993 s
% 26.15/4.89 % (1031310)Peak memory usage: 17 MB
% 26.15/4.89 % (1031310)Instructions burned: 2470 (million)
% 26.15/4.89 % (1031409)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=4278781714:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2959 on theBenchmark for (2959ds/262Mi)
% 26.15/4.89 % (1031409)Refutation not found, incomplete strategy
% 26.15/4.89 % (1031409)------------------------------
% 26.15/4.89 % (1031409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.89 % (1031409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.89 % (1031409)CaDiCaL version: 2.1.3
% 26.15/4.89 % (1031409)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.89 % (1031409)Time elapsed: 0.001 s
% 26.15/4.89 % (1031409)Peak memory usage: 11 MB
% 26.15/4.89 % (1031410)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 26.15/4.89 % (1031409)------------------------------
% 26.15/4.89 % (1031409)------------------------------
% 26.15/4.89 % (1031410)ott+1002_16_sil=128000:si=on:random_seed=3507394694:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2958 on theBenchmark for (2958ds/409Mi)
% 26.15/4.89 % (1031412)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=724382750:s2a=on:i=381:rtra=on_2958 on theBenchmark for (2958ds/381Mi)
% 26.15/4.89 % (1031410)Instruction limit reached!
% 26.15/4.89 % (1031410)------------------------------
% 26.15/4.89 % (1031410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.89 % (1031410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.89 % (1031410)CaDiCaL version: 2.1.3
% 26.15/4.89 % (1031410)Termination reason: Instruction limit
% 26.15/4.89 % (1031410)Termination phase: Saturation
% 26.15/4.89 % (1031410)Time elapsed: 0.281 s
% 26.15/4.89 % (1031410)Peak memory usage: 13 MB
% 26.15/4.89 % (1031410)Instructions burned: 409 (million)
% 26.15/4.89 % (1031389)Instruction limit reached!
% 26.15/4.89 % (1031389)------------------------------
% 26.15/4.89 % (1031389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.89 % (1031389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.89 % (1031389)CaDiCaL version: 2.1.3
% 26.15/4.89 % (1031389)Termination reason: Instruction limit
% 26.15/4.89 % (1031389)Termination phase: Saturation
% 26.15/4.89 % (1031389)Time elapsed: 0.804 s
% 26.15/4.89 % (1031389)Peak memory usage: 14 MB
% 26.15/4.89 % (1031389)Instructions burned: 1142 (million)
% 26.15/4.89 % (1031415)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=574390207:cond=on:i=324:rtra=on:ntd=on_2955 on theBenchmark for (2955ds/324Mi)
% 26.15/4.89 % (1031416)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3789059744:i=240:kws=inv_precedence:rtra=on_2955 on theBenchmark for (2955ds/240Mi)
% 26.15/4.89 % (1031416)Refutation not found, incomplete strategy
% 26.15/4.89 % (1031416)------------------------------
% 26.15/4.89 % (1031416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.89 % (1031416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.89 % (1031416)CaDiCaL version: 2.1.3
% 26.15/4.89 % (1031416)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.89 % (1031416)Time elapsed: 0.002 s
% 26.15/4.89 % (1031416)Peak memory usage: 11 MB
% 26.15/4.89 % (1031416)Instructions burned: 1 (million)
% 26.15/4.89 % (1031416)------------------------------
% 26.15/4.89 % (1031416)------------------------------
% 26.15/4.89 % (1031412)Instruction limit reached!
% 26.15/4.89 % (1031412)------------------------------
% 26.15/4.89 % (1031412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.89 % (1031412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.89 % (1031412)CaDiCaL version: 2.1.3
% 26.15/4.89 % (1031412)Termination reason: Instruction limit
% 26.15/4.89 % (1031412)Termination phase: Saturation
% 26.15/4.89 % (1031412)Time elapsed: 0.296 s
% 26.15/4.89 % (1031412)Peak memory usage: 12 MB
% 26.15/4.89 % (1031412)Instructions burned: 382 (million)
% 26.15/4.89 % (1031397) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1031074-1031397"...
% 26.15/4.89 % (1031419)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 26.15/4.89 % (1031419)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=230492861:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2955 on theBenchmark for (2955ds/124Mi)
% 26.15/4.89 % (1031420)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3293598366:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2955 on theBenchmark for (2955ds/223Mi)
% 26.15/4.89 % (1031397)...printing done.
% 26.15/4.89 % (1031397)Refutation found. Thanks to Tanya!
% 26.15/4.89 % SZS status Unsatisfiable for theBenchmark
% 26.15/4.89 % SZS output start Proof for theBenchmark
% See solution above
% 27.58/4.93 % (1031397)------------------------------
% 27.58/4.93 % (1031397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.58/4.93 % (1031397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.58/4.93 % (1031397)CaDiCaL version: 2.1.3
% 27.58/4.93 % (1031397)Termination reason: Refutation
% 27.58/4.93 % (1031397)Time elapsed: 0.833 s
% 27.58/4.93 % (1031397)Peak memory usage: 16 MB
% 27.58/4.93 % (1031397)Instructions burned: 1670 (million)
% 27.58/4.93 % (1031074)Success in time 4.566 s
% 27.58/4.93 % Vampire exiting
%------------------------------------------------------------------------------