%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA134^1 : 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 : n007.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 07:56:46 AM UTC 2026
% Result : Unsatisfiable 51.86s 7.78s
% Output : Refutation 53.63s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( r @ X0 @ X1 )
| ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X0: $i,X3: $i,X2: $i,X1: $i] :
( ~ ( r @ X0 @ X3 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X1 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X0: $i,X2: $i,X1: $i,X4: $i,X3: $i] :
( ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X4 ) ),
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 @ X0 @ X1 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X3 @ X2 )
| ~ ( r @ X3 @ X1 ) ),
inference(rectify,[],[f6]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( $true
!= ( r @ X3 @ X1 ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( r @ X0 @ X1 )
| ( b @ 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 @ X0 @ X2 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X4 @ X3 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X0 @ X3 ) ),
inference(rectify,[],[f7]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X4 ) )
| ( $true
!= ( b @ X0 @ X3 ) ) ),
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,X2: $i,X0: $i,X3: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X1: $i,X3: $i,X0: $i,X2: $i,X4: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X4 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(flattening,[],[f15]) ).
thf(f21,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f17]) ).
thf(f22,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X3 @ X0 ) )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X2 @ X3 ) ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X4 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X4 )
!= $true )
| ( $true
!= ( b @ X3 @ X0 ) ) ),
inference(rectify,[],[f20]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( b @ X1 @ X0 ) )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(rectify,[],[f13]) ).
thf(f26,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f27,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( $true
!= ( r @ X2 @ X3 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f30,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f31,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f32,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f32,f27]) ).
thf(f36,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f32,f27]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f32,f28]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f31,f35]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f45,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f43,f35]) ).
thf(f46,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X2 ) ) ),
inference(duplicate_literal_removal,[],[f45]) ).
thf(f47,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f46]) ).
thf(f50,definition,
( spl0_1
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f51,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
thf(f53,definition,
( spl0_2
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f54,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
thf(f55,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f47,f53,f50]) ).
thf(f63,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f31,f36]) ).
thf(f64,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f63]) ).
thf(f68,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f64,f35]) ).
thf(f70,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(duplicate_literal_removal,[],[f68]) ).
thf(f71,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f70]) ).
thf(f73,definition,
( spl0_3
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f74,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f73]) ).
thf(f76,definition,
( spl0_4
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f77,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f76]) ).
thf(f78,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f71,f76,f73]) ).
thf(f79,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X2 ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f29,f74]) ).
thf(f80,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f79]) ).
thf(f81,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f80,f74]) ).
thf(f82,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f81]) ).
thf(f83,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f82]) ).
thf(f84,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f37,f28]) ).
thf(f86,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f37,f27]) ).
thf(f87,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f37,f27]) ).
thf(f97,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f64,f86]) ).
thf(f98,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f43,f86]) ).
thf(f99,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f31,f86]) ).
thf(f101,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f98]) ).
thf(f102,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f97]) ).
thf(f103,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f99]) ).
thf(f105,definition,
( spl0_5
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f106,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f108,definition,
( spl0_6
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f109,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_6 ),
inference(avatar_component_clause,[],[f108]) ).
thf(f111,definition,
( spl0_7
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f112,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_7 ),
inference(avatar_component_clause,[],[f111]) ).
thf(f115,definition,
( spl0_8
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f116,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f118,definition,
( spl0_9
<=> ( ( r @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f119,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f120,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f101,f118,f115]) ).
thf(f122,definition,
( spl0_10
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f123,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f122]) ).
thf(f125,definition,
( spl0_11
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f126,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f125]) ).
thf(f127,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f102,f125,f122]) ).
thf(f128,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_6 ),
inference(constrained_superposition,[],[f109,f35]) ).
thf(f130,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f128]) ).
thf(f132,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f130,f108,f118]) ).
thf(f134,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_7 ),
inference(constrained_superposition,[],[f112,f36]) ).
thf(f136,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_7 ),
inference(trivial_inequality_removal,[],[f134]) ).
thf(f138,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f136,f111,f125]) ).
thf(f140,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f116,f86]) ).
thf(f147,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f140]) ).
thf(f148,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f147]) ).
thf(f176,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(constrained_superposition,[],[f83,f106]) ).
thf(f177,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f29,f106]) ).
thf(f178,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f177]) ).
thf(f179,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f176]) ).
thf(f182,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f179,f74]) ).
thf(f184,definition,
( spl0_13
<=> ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f185,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f184]) ).
thf(f186,plain,
( spl0_13
| spl0_9
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f182,f105,f73,f118,f184]) ).
thf(f187,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f29,f119]) ).
thf(f188,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f187]) ).
thf(f189,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f188,f119]) ).
thf(f190,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f189]) ).
thf(f197,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f77,f32]) ).
thf(f198,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f77,f36]) ).
thf(f199,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f198]) ).
thf(f200,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f197]) ).
thf(f201,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f199,f32]) ).
thf(f203,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f199,f37]) ).
thf(f205,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f203]) ).
thf(f207,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f201]) ).
thf(f210,definition,
( spl0_14
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f211,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f210]) ).
thf(f224,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f178,f106]) ).
thf(f225,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f224]) ).
thf(f226,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f225]) ).
thf(f227,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( z = X1 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X1 @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f200,f32]) ).
thf(f228,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( z = X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f200,f36]) ).
thf(f229,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f227]) ).
thf(f230,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f228]) ).
thf(f231,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( z = X1 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X1 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f229,f32]) ).
thf(f232,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ X1 ) )
| ( ( s @ X0 )
= z )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f229,f37]) ).
thf(f234,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( z
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f232]) ).
thf(f236,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( X0 = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( z = X0 )
| ( z = X1 )
| ( ( r @ X0 @ X1 )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f231]) ).
thf(f237,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 )
| ( z
= ( s @ X1 ) ) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f234,f27]) ).
thf(f238,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f237,f27]) ).
thf(f239,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( z = X3 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( X0 = X3 )
| ( $true
= ( r @ X3 @ z ) )
| ( z = X0 )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ X3 )
= $true )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f29,f236]) ).
thf(f252,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( X0 = X3 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X3 )
= $true )
| ( z = X3 )
| ( $true
= ( r @ X3 @ z ) )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f239]) ).
thf(f256,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( z = X3 )
| ( z = X0 )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
= ( r @ X3 @ z ) )
| ( X0 = X3 ) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f252,f29]) ).
thf(f263,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f64,f87]) ).
thf(f264,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f43,f87]) ).
thf(f266,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f31,f87]) ).
thf(f271,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f264]) ).
thf(f274,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f266]) ).
thf(f275,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f263]) ).
thf(f284,definition,
( spl0_17
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f285,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f284]) ).
thf(f288,definition,
( spl0_18
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f289,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f288]) ).
thf(f291,definition,
( spl0_19
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f292,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f291]) ).
thf(f293,plain,
( spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f271,f291,f288]) ).
thf(f295,definition,
( spl0_20
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f296,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f295]) ).
thf(f297,plain,
( spl0_20
| spl0_17 ),
inference(avatar_split_clause,[],[f275,f284,f295]) ).
thf(f338,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ),
inference(constrained_superposition,[],[f274,f87]) ).
thf(f341,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) ),
inference(duplicate_literal_removal,[],[f338]) ).
thf(f342,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f341]) ).
thf(f349,definition,
( spl0_22
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f350,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f349]) ).
thf(f352,definition,
( spl0_23
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f353,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f352]) ).
thf(f354,plain,
( spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f342,f352,f349]) ).
thf(f376,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( z = X1 )
| ( ( s @ X0 )
= X1 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f230,f32]) ).
thf(f378,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f376]) ).
thf(f382,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( $true != $true )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f207,f32]) ).
thf(f384,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f382]) ).
thf(f2645,definition,
( spl0_32
<=> ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f2646,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f2645]) ).
thf(f2656,definition,
( spl0_35
<=> ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f2657,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f2656]) ).
thf(f2729,definition,
( spl0_48
<=> ! [X1: $i] :
( ( z = X1 )
| ( $true
= ( r @ z @ X1 ) )
| ( ( r @ X1 @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f2730,plain,
( ! [X1: $i] :
( ( $true
= ( r @ z @ X1 ) )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f2729]) ).
thf(f2765,definition,
( spl0_53
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f2766,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f2765]) ).
thf(f2769,definition,
( spl0_54
<=> ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f2770,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f2769]) ).
thf(f2827,definition,
( spl0_62
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
thf(f2828,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f2827]) ).
thf(f2922,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(extensionality_resolution,[],[f84,f27]) ).
thf(f2977,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X1 )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( X0 = X1 ) )
| ~ spl0_4
| ~ spl0_9 ),
inference(constrained_superposition,[],[f256,f119]) ).
thf(f2983,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( X0 = X1 )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_4
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f2977]) ).
thf(f3066,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f274,f2922]) ).
thf(f3068,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f103,f2922]) ).
thf(f3072,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f64,f2922]) ).
thf(f3073,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f43,f2922]) ).
thf(f3077,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ X3 ) ) ),
inference(constrained_superposition,[],[f31,f2922]) ).
thf(f3084,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f3068]) ).
thf(f3088,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f3072]) ).
thf(f3091,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f3073]) ).
thf(f3092,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f3077]) ).
thf(f3093,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f3066]) ).
thf(f3099,definition,
( spl0_69
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f3100,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f3099]) ).
thf(f3106,definition,
( spl0_71
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f3107,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f3106]) ).
thf(f3118,definition,
( spl0_74
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
thf(f3119,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f3118]) ).
thf(f3120,plain,
( spl0_74
| spl0_69 ),
inference(avatar_split_clause,[],[f3084,f3099,f3118]) ).
thf(f3122,definition,
( spl0_75
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
thf(f3123,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f3122]) ).
thf(f3129,definition,
( spl0_77
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
thf(f3130,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_77 ),
inference(avatar_component_clause,[],[f3129]) ).
thf(f3132,definition,
( spl0_78
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
thf(f3133,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_78 ),
inference(avatar_component_clause,[],[f3132]) ).
thf(f3135,definition,
( spl0_79
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
thf(f3136,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f3135]) ).
thf(f3140,definition,
( spl0_80
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f3141,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f3140]) ).
thf(f3142,plain,
( spl0_80
| spl0_75 ),
inference(avatar_split_clause,[],[f3088,f3122,f3140]) ).
thf(f3149,definition,
( spl0_82
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
thf(f3150,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f3149]) ).
thf(f3152,definition,
( spl0_83
<=> ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f3153,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f3152]) ).
thf(f3154,plain,
( spl0_82
| spl0_83 ),
inference(avatar_split_clause,[],[f3091,f3152,f3149]) ).
thf(f3156,definition,
( spl0_84
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
thf(f3157,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f3156]) ).
thf(f3159,definition,
( spl0_85
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
thf(f3160,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f3159]) ).
thf(f3161,plain,
( spl0_84
| spl0_85 ),
inference(avatar_split_clause,[],[f3093,f3159,f3156]) ).
thf(f3166,definition,
( spl0_87
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
thf(f3167,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_87 ),
inference(avatar_component_clause,[],[f3166]) ).
thf(f3171,definition,
( spl0_88
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
thf(f3172,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f3171]) ).
thf(f3211,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_78 ),
inference(constrained_superposition,[],[f3133,f36]) ).
thf(f3214,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_78 ),
inference(trivial_inequality_removal,[],[f3211]) ).
thf(f3248,definition,
( spl0_92
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
thf(f3249,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f3248]) ).
thf(f3301,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f211,f36]) ).
thf(f3303,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f3301]) ).
thf(f3305,plain,
( spl0_92
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f3303,f210,f3248]) ).
thf(f3352,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_87 ),
inference(constrained_superposition,[],[f3167,f32]) ).
thf(f3355,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_87 ),
inference(trivial_inequality_removal,[],[f3352]) ).
thf(f3358,plain,
( spl0_85
| spl0_71
| spl0_87 ),
inference(avatar_split_clause,[],[f3355,f3166,f3106,f3159]) ).
thf(f3360,plain,
( spl0_75
| spl0_78 ),
inference(avatar_split_clause,[],[f3214,f3132,f3122]) ).
thf(f3361,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_4
| ~ spl0_11 ),
inference(constrained_superposition,[],[f256,f126]) ).
thf(f3362,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f29,f126]) ).
thf(f3363,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X1 )
| ( ( r @ X1 @ z )
!= $true )
| ( z = X0 )
| ( X0 = X1 ) )
| ~ spl0_4
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f3361]) ).
thf(f3364,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f3362]) ).
thf(f3372,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_69 ),
inference(constrained_superposition,[],[f190,f3100]) ).
thf(f3375,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f29,f3100]) ).
thf(f3379,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_9
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f3372]) ).
thf(f3381,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f3375]) ).
thf(f3401,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_69 ),
inference(constrained_superposition,[],[f3364,f3100]) ).
thf(f3408,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f3401]) ).
thf(f3425,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_11
| ~ spl0_69 ),
inference(constrained_superposition,[],[f3408,f236]) ).
thf(f3429,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_11
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f3425]) ).
thf(f3433,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_4
| ~ spl0_11
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f3429,f27]) ).
thf(f3436,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_4
| ~ spl0_11
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f3433,f126]) ).
thf(f3437,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f3381,f3100]) ).
thf(f3447,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f3437]) ).
thf(f3450,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_69 ),
inference(constrained_superposition,[],[f3447,f238]) ).
thf(f3454,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_4
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f3450]) ).
thf(f3462,definition,
( spl0_94
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
thf(f3463,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f3462]) ).
thf(f3465,definition,
( spl0_95
<=> ! [X1: $i] :
( ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X1 @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
thf(f3466,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f3465]) ).
thf(f3469,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f3454,f190]) ).
thf(f3471,definition,
( spl0_96
<=> ! [X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
thf(f3472,plain,
( ! [X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f3471]) ).
thf(f3478,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_83 ),
inference(avatar_component_clause,[],[f3152]) ).
thf(f3480,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f3469,f3379]) ).
thf(f3485,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69 ),
inference(constrained_superposition,[],[f3480,f238]) ).
thf(f3487,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f3485]) ).
thf(f3502,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f32]) ).
thf(f3504,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( z = X0 )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f3502]) ).
thf(f3580,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f3150,f2922]) ).
thf(f3589,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_82 ),
inference(duplicate_literal_removal,[],[f3580]) ).
thf(f3590,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f3589]) ).
thf(f3617,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f3157,f2922]) ).
thf(f3624,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_84 ),
inference(duplicate_literal_removal,[],[f3617]) ).
thf(f3625,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f3624]) ).
thf(f3631,definition,
( spl0_98
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
thf(f3632,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_98 ),
inference(avatar_component_clause,[],[f3631]) ).
thf(f3634,definition,
( spl0_99
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
thf(f3635,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f3634]) ).
thf(f3636,plain,
( ~ spl0_98
| spl0_99
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f3625,f3156,f3634,f3631]) ).
thf(f3639,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_98 ),
inference(constrained_superposition,[],[f3632,f32]) ).
thf(f3641,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_98 ),
inference(trivial_inequality_removal,[],[f3639]) ).
thf(f3721,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_19
| ~ spl0_94 ),
inference(constrained_superposition,[],[f3463,f292]) ).
thf(f3730,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_19
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f3721]) ).
thf(f3737,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_19
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f3730,f126]) ).
thf(f3738,plain,
( spl0_83
| ~ spl0_11
| ~ spl0_19
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f3737,f3462,f291,f125,f3152]) ).
thf(f3741,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_69
| ~ spl0_83 ),
inference(constrained_superposition,[],[f3447,f3153]) ).
thf(f3745,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_69
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f3741]) ).
thf(f3749,plain,
( $false
| ~ spl0_9
| ~ spl0_69
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f3745,f119]) ).
thf(f3750,plain,
( ~ spl0_9
| ~ spl0_69
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f3749]) ).
thf(f3849,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_92 ),
inference(constrained_superposition,[],[f29,f3249]) ).
thf(f3856,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_92 ),
inference(trivial_inequality_removal,[],[f3849]) ).
thf(f3862,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f3856,f29]) ).
thf(f4183,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( z = X1 )
| ( z = X0 )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f3504,f32]) ).
thf(f4185,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( z = X1 )
| ( $true
= ( r @ z @ X1 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f4183]) ).
thf(f4328,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_5
| ~ spl0_79 ),
inference(constrained_superposition,[],[f226,f3136]) ).
thf(f4332,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_79 ),
inference(constrained_superposition,[],[f29,f3136]) ).
thf(f4333,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f4332]) ).
thf(f4341,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_5
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f4328]) ).
thf(f4348,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_85 ),
inference(avatar_component_clause,[],[f3159]) ).
thf(f4350,definition,
( spl0_100
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
thf(f4351,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f4350]) ).
thf(f4354,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_79
| spl0_83 ),
inference(forward_subsumption_resolution,[],[f4341,f3478]) ).
thf(f4358,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_5
| ~ spl0_79
| spl0_83 ),
inference(forward_subsumption_resolution,[],[f4354,f106]) ).
thf(f4365,plain,
( spl0_100
| ~ spl0_5
| ~ spl0_79
| spl0_83 ),
inference(avatar_split_clause,[],[f4358,f3152,f3135,f105,f4350]) ).
thf(f4367,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_19
| spl0_85 ),
inference(constrained_superposition,[],[f4348,f292]) ).
thf(f4372,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_19
| spl0_85 ),
inference(trivial_inequality_removal,[],[f4367]) ).
thf(f4377,plain,
( $false
| ~ spl0_19
| spl0_83
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f4372,f3478]) ).
thf(f4378,plain,
( ~ spl0_19
| spl0_83
| spl0_85 ),
inference(avatar_contradiction_clause,[],[f4377]) ).
thf(f4389,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( X0 = X1 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z = X1 ) )
| ~ spl0_4
| ~ spl0_85 ),
inference(constrained_superposition,[],[f256,f3160]) ).
thf(f4391,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( X0 = X1 )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_4
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f4389]) ).
thf(f4557,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X1 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ z @ X1 ) )
| ( z = X0 )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f4185,f32]) ).
thf(f4559,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X1 )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ z @ X1 ) )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f4557]) ).
thf(f4560,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ z @ X1 ) )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X1 )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f4559]) ).
thf(f4571,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f4560,f2922]) ).
thf(f4578,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f4571]) ).
thf(f4929,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_88
| ~ spl0_92 ),
inference(constrained_superposition,[],[f3862,f3172]) ).
thf(f4949,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_88
| ~ spl0_92 ),
inference(trivial_inequality_removal,[],[f4929]) ).
thf(f5416,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f87,f3107]) ).
thf(f5581,definition,
( spl0_109
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
thf(f5582,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f5581]) ).
thf(f5584,definition,
( spl0_110
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
thf(f5585,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f5584]) ).
thf(f5591,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f5416,f30]) ).
thf(f5608,plain,
( $false
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f5591,f26]) ).
thf(f5609,plain,
~ spl0_71,
inference(avatar_contradiction_clause,[],[f5608]) ).
thf(f6053,plain,
( ( ( s @ z )
!= ( s @ ( s @ z ) ) )
| spl0_71 ),
inference(avatar_component_clause,[],[f3106]) ).
thf(f6147,definition,
( spl0_124
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
thf(f6148,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f6147]) ).
thf(f6159,definition,
( spl0_126
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
thf(f6160,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f6159]) ).
thf(f6170,definition,
( spl0_128
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
thf(f6171,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f6170]) ).
thf(f6199,plain,
( spl0_95
| ~ spl0_4
| ~ spl0_11
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f3436,f3099,f125,f76,f3465]) ).
thf(f6222,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_4
| spl0_71 ),
inference(extensionality_resolution,[],[f238,f6053]) ).
thf(f6223,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| spl0_71 ),
inference(extensionality_resolution,[],[f238,f6053]) ).
thf(f6224,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_4
| spl0_71 ),
inference(extensionality_resolution,[],[f205,f6053]) ).
thf(f6231,definition,
( spl0_132
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
thf(f6232,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f6231]) ).
thf(f6234,definition,
( spl0_133
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
thf(f6235,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f6234]) ).
thf(f6238,definition,
( spl0_134
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
thf(f6239,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f6238]) ).
thf(f6241,definition,
( spl0_135
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
thf(f6242,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f6241]) ).
thf(f6245,definition,
( spl0_136
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
thf(f6246,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f6245]) ).
thf(f6248,definition,
( spl0_137
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
thf(f6249,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f6248]) ).
thf(f6291,definition,
( spl0_138
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
thf(f6292,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f6291]) ).
thf(f6293,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_109 ),
inference(avatar_component_clause,[],[f5581]) ).
thf(f6295,definition,
( spl0_139
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
thf(f6296,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f6295]) ).
thf(f6300,definition,
( spl0_140
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
thf(f6301,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f6300]) ).
thf(f6351,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_138 ),
inference(constrained_superposition,[],[f86,f6292]) ).
thf(f6505,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f6351,f30]) ).
thf(f6524,plain,
( $false
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f6505,f26]) ).
thf(f6525,plain,
~ spl0_138,
inference(avatar_contradiction_clause,[],[f6524]) ).
thf(f6531,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_82
| ~ spl0_132 ),
inference(constrained_superposition,[],[f3590,f6232]) ).
thf(f6533,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_132 ),
inference(constrained_superposition,[],[f148,f6232]) ).
thf(f6534,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_8
| ~ spl0_132 ),
inference(constrained_superposition,[],[f116,f6232]) ).
thf(f6538,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_74
| ~ spl0_132 ),
inference(constrained_superposition,[],[f3119,f6232]) ).
thf(f6544,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_132 ),
inference(constrained_superposition,[],[f123,f6232]) ).
thf(f6552,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_10
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f6544]) ).
thf(f6554,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_74
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f6538]) ).
thf(f6561,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_8
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f6533]) ).
thf(f6572,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_8
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f6534]) ).
thf(f6573,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_82
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f6531]) ).
thf(f6575,definition,
( spl0_142
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
thf(f6576,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f6575]) ).
thf(f6578,definition,
( spl0_143
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f6579,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f6578]) ).
thf(f6580,plain,
( spl0_142
| spl0_143
| ~ spl0_10
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f6552,f6231,f122,f6578,f6575]) ).
thf(f6582,definition,
( spl0_144
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
thf(f6583,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_144 ),
inference(avatar_component_clause,[],[f6582]) ).
thf(f6586,definition,
( spl0_145
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
thf(f6587,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f6586]) ).
thf(f6589,definition,
( spl0_146
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
thf(f6590,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f6589]) ).
thf(f6591,plain,
( spl0_145
| spl0_146
| ~ spl0_74
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f6554,f6231,f3118,f6589,f6586]) ).
thf(f6593,definition,
( spl0_147
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
thf(f6594,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f6593]) ).
thf(f6597,definition,
( spl0_148
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
thf(f6598,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_148 ),
inference(avatar_component_clause,[],[f6597]) ).
thf(f6603,definition,
( spl0_150
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
thf(f6604,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f6603]) ).
thf(f6607,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_8
| spl0_109
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f6561,f6293]) ).
thf(f6613,definition,
( spl0_152
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
thf(f6614,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f6613]) ).
thf(f6618,definition,
( spl0_153
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
thf(f6619,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_153 ),
inference(avatar_component_clause,[],[f6618]) ).
thf(f6621,definition,
( spl0_154
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
thf(f6622,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_154 ),
inference(avatar_component_clause,[],[f6621]) ).
thf(f6625,definition,
( spl0_155
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
thf(f6626,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f6625]) ).
thf(f6629,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_8
| spl0_109
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f6572,f6293]) ).
thf(f6631,definition,
( spl0_156
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
thf(f6632,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_156 ),
inference(avatar_component_clause,[],[f6631]) ).
thf(f6634,definition,
( spl0_157
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
thf(f6635,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_157 ),
inference(avatar_component_clause,[],[f6634]) ).
thf(f6636,plain,
( spl0_150
| ~ spl0_156
| ~ spl0_157
| ~ spl0_82
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f6573,f6231,f3149,f6634,f6631,f6603]) ).
thf(f6638,definition,
( spl0_158
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
thf(f6639,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_158 ),
inference(avatar_component_clause,[],[f6638]) ).
thf(f6640,plain,
( ~ spl0_157
| ~ spl0_158
| ~ spl0_8
| spl0_109
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f6607,f6231,f5581,f115,f6638,f6634]) ).
thf(f6642,plain,
( spl0_152
| ~ spl0_8
| spl0_109
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f6629,f6231,f5581,f115,f6613]) ).
thf(f6644,definition,
( spl0_159
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
thf(f6645,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f6644]) ).
thf(f6655,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_88
| ~ spl0_92
| ~ spl0_133 ),
inference(constrained_superposition,[],[f4949,f6235]) ).
thf(f6671,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_88
| ~ spl0_92
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f6655]) ).
thf(f6690,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_150 ),
inference(avatar_component_clause,[],[f6603]) ).
thf(f6691,plain,
( ~ spl0_150
| spl0_143
| ~ spl0_88
| ~ spl0_92
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f6671,f6234,f3248,f3171,f6578,f6603]) ).
thf(f6702,definition,
( spl0_160
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
thf(f6703,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f6702]) ).
thf(f6718,definition,
( spl0_161
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
thf(f6719,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_161 ),
inference(avatar_component_clause,[],[f6718]) ).
thf(f6721,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f6718]) ).
thf(f6739,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_69
| ~ spl0_150 ),
inference(constrained_superposition,[],[f3447,f6604]) ).
thf(f6740,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_5
| ~ spl0_150 ),
inference(constrained_superposition,[],[f226,f6604]) ).
thf(f6744,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_69
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f6739]) ).
thf(f6748,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f6740]) ).
thf(f6816,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_82
| ~ spl0_134 ),
inference(constrained_superposition,[],[f3150,f6239]) ).
thf(f6817,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_8
| ~ spl0_134 ),
inference(constrained_superposition,[],[f148,f6239]) ).
thf(f6818,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_8
| ~ spl0_134 ),
inference(constrained_superposition,[],[f116,f6239]) ).
thf(f6822,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_74
| ~ spl0_134 ),
inference(constrained_superposition,[],[f3119,f6239]) ).
thf(f6828,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_10
| ~ spl0_134 ),
inference(constrained_superposition,[],[f123,f6239]) ).
thf(f6834,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_134 ),
inference(constrained_superposition,[],[f229,f6239]) ).
thf(f6841,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f6818]) ).
thf(f6842,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f6834]) ).
thf(f6845,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_10
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f6828]) ).
thf(f6847,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_82
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f6816]) ).
thf(f6854,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_74
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f6822]) ).
thf(f6857,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f6817]) ).
thf(f6867,plain,
( spl0_152
| spl0_143
| ~ spl0_8
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f6841,f6238,f115,f6578,f6613]) ).
thf(f6868,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f6842,f27]) ).
thf(f6870,plain,
( spl0_152
| spl0_146
| ~ spl0_82
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f6847,f6238,f3149,f6589,f6613]) ).
thf(f6876,definition,
( spl0_163
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
thf(f6877,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_163 ),
inference(avatar_component_clause,[],[f6876]) ).
thf(f6878,plain,
( ~ spl0_163
| ~ spl0_154
| spl0_143
| ~ spl0_8
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f6857,f6238,f115,f6578,f6621,f6876]) ).
thf(f6905,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_159 ),
inference(constrained_superposition,[],[f86,f6645]) ).
thf(f7017,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f6905,f30]) ).
thf(f7033,plain,
( $false
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f7017,f26]) ).
thf(f7034,plain,
~ spl0_159,
inference(avatar_contradiction_clause,[],[f7033]) ).
thf(f7037,plain,
( ~ spl0_109
| ~ spl0_69
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f6744,f6603,f3099,f5581]) ).
thf(f7038,plain,
( spl0_142
| spl0_109
| ~ spl0_10
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f6845,f6238,f122,f5581,f6575]) ).
thf(f7043,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_5
| spl0_83
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f6748,f3478]) ).
thf(f7045,plain,
( ~ spl0_109
| ~ spl0_5
| spl0_83
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f7043,f6603,f3152,f105,f5581]) ).
thf(f7047,definition,
( spl0_165
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
thf(f7048,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_165 ),
inference(avatar_component_clause,[],[f7047]) ).
thf(f7055,plain,
( spl0_145
| spl0_150
| ~ spl0_74
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f6854,f6238,f3118,f6603,f6586]) ).
thf(f7060,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f6868,f27]) ).
thf(f7063,definition,
( spl0_168
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
thf(f7064,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f7063]) ).
thf(f7067,definition,
( spl0_169
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).
thf(f7068,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f7067]) ).
thf(f7070,plain,
( spl0_161
| spl0_168
| ~ spl0_4
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f7060,f6238,f76,f7063,f6718]) ).
thf(f7086,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| ~ spl0_109 ),
inference(constrained_superposition,[],[f3480,f5582]) ).
thf(f7088,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_109 ),
inference(constrained_superposition,[],[f190,f5582]) ).
thf(f7095,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f7086]) ).
thf(f7099,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f7088]) ).
thf(f7102,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| spl0_71
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f7095,f6053]) ).
thf(f7103,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| spl0_71
| ~ spl0_109 ),
inference(avatar_contradiction_clause,[],[f7102]) ).
thf(f7104,plain,
( $false
| ~ spl0_9
| ~ spl0_109
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f7099,f6721]) ).
thf(f7105,plain,
( ~ spl0_9
| ~ spl0_109
| ~ spl0_161 ),
inference(avatar_contradiction_clause,[],[f7104]) ).
thf(f7109,plain,
( spl0_161
| ~ spl0_78
| spl0_136
| ~ spl0_4
| spl0_71 ),
inference(avatar_split_clause,[],[f6224,f3106,f76,f6245,f3132,f6718]) ).
thf(f7132,definition,
( spl0_170
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
thf(f7133,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f7132]) ).
thf(f7143,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_4
| spl0_109 ),
inference(constrained_superposition,[],[f6293,f238]) ).
thf(f7145,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| spl0_109 ),
inference(trivial_inequality_removal,[],[f7143]) ).
thf(f7148,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_144 ),
inference(constrained_superposition,[],[f6583,f86]) ).
thf(f7149,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_144 ),
inference(constrained_superposition,[],[f6583,f37]) ).
thf(f7150,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_144 ),
inference(constrained_superposition,[],[f6583,f32]) ).
thf(f7151,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_144 ),
inference(trivial_inequality_removal,[],[f7149]) ).
thf(f7152,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_144 ),
inference(trivial_inequality_removal,[],[f7148]) ).
thf(f7153,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_144 ),
inference(trivial_inequality_removal,[],[f7150]) ).
thf(f7154,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_144 ),
inference(forward_subsumption_resolution,[],[f7151,f27]) ).
thf(f7155,plain,
( $false
| spl0_109
| spl0_144 ),
inference(forward_subsumption_resolution,[],[f7152,f6293]) ).
thf(f7156,plain,
( spl0_109
| spl0_144 ),
inference(avatar_contradiction_clause,[],[f7155]) ).
thf(f7157,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_109
| spl0_144 ),
inference(forward_subsumption_resolution,[],[f7153,f6293]) ).
thf(f7158,plain,
( $false
| spl0_109
| spl0_144 ),
inference(forward_subsumption_resolution,[],[f7154,f6293]) ).
thf(f7159,plain,
( spl0_109
| spl0_144 ),
inference(avatar_contradiction_clause,[],[f7158]) ).
thf(f7160,plain,
( spl0_138
| spl0_109
| spl0_144 ),
inference(avatar_split_clause,[],[f7157,f6582,f5581,f6291]) ).
thf(f7161,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_157 ),
inference(constrained_superposition,[],[f6635,f36]) ).
thf(f7163,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_157 ),
inference(trivial_inequality_removal,[],[f7161]) ).
thf(f7165,plain,
( spl0_168
| spl0_157 ),
inference(avatar_split_clause,[],[f7163,f6634,f7063]) ).
thf(f7232,definition,
( spl0_172
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
thf(f7233,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f7232]) ).
thf(f7249,definition,
( spl0_174
<=> ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
thf(f7250,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_174 ),
inference(avatar_component_clause,[],[f7249]) ).
thf(f7263,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_148 ),
inference(constrained_superposition,[],[f6598,f32]) ).
thf(f7266,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_148 ),
inference(trivial_inequality_removal,[],[f7263]) ).
thf(f7269,plain,
( spl0_159
| spl0_143
| spl0_148 ),
inference(avatar_split_clause,[],[f7266,f6597,f6578,f6644]) ).
thf(f7271,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_85
| ~ spl0_150 ),
inference(constrained_superposition,[],[f4391,f6604]) ).
thf(f7278,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_85
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f7271]) ).
thf(f7281,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_11
| ~ spl0_155 ),
inference(constrained_superposition,[],[f3363,f6626]) ).
thf(f7288,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_4
| ~ spl0_11
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f7281]) ).
thf(f7291,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_4
| ~ spl0_11
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f7288,f27]) ).
thf(f7293,definition,
( spl0_175
<=> ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
thf(f7294,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f7293]) ).
thf(f7295,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_168 ),
inference(avatar_component_clause,[],[f7063]) ).
thf(f7296,plain,
( spl0_175
| ~ spl0_168
| ~ spl0_4
| ~ spl0_11
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f7291,f6625,f125,f76,f7063,f7293]) ).
thf(f7344,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_133 ),
inference(constrained_superposition,[],[f29,f6235]) ).
thf(f7346,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f7344]) ).
thf(f7357,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_155 ),
inference(avatar_component_clause,[],[f6625]) ).
thf(f7428,definition,
( spl0_176
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
thf(f7429,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f7428]) ).
thf(f7430,plain,
( spl0_11
| spl0_176
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f3487,f3099,f118,f76,f7428,f125]) ).
thf(f7433,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_4
| ~ spl0_85
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f7278,f27]) ).
thf(f7435,definition,
( spl0_177
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
thf(f7436,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f7435]) ).
thf(f7446,definition,
( spl0_178
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
thf(f7447,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_178 ),
inference(avatar_component_clause,[],[f7446]) ).
thf(f7448,plain,
( spl0_140
| ~ spl0_178
| ~ spl0_4
| ~ spl0_85
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f7433,f6603,f3159,f76,f7446,f6300]) ).
thf(f7461,definition,
( spl0_180
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
thf(f7462,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f7461]) ).
thf(f7465,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f29,f126]) ).
thf(f7466,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f7465]) ).
thf(f7468,plain,
( spl0_177
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f7466,f125,f7435]) ).
thf(f7492,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_9
| ~ spl0_180 ),
inference(constrained_superposition,[],[f188,f7462]) ).
thf(f7497,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_9
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f7492]) ).
thf(f7626,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f289,f87]) ).
thf(f7631,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f7626]) ).
thf(f7636,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_133 ),
inference(constrained_superposition,[],[f7346,f6235]) ).
thf(f7643,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f7636]) ).
thf(f7654,definition,
( spl0_181
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
thf(f7655,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f7654]) ).
thf(f7661,definition,
( spl0_183
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f7662,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f7661]) ).
thf(f7672,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_133
| ~ spl0_180 ),
inference(constrained_superposition,[],[f7643,f7462]) ).
thf(f7676,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_133
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f7672]) ).
thf(f7686,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f6576,f87]) ).
thf(f7691,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f7686]) ).
thf(f7707,plain,
( ~ spl0_7
| spl0_155
| ~ spl0_163
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f7691,f6575,f6876,f6625,f111]) ).
thf(f7710,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_155
| ~ spl0_180 ),
inference(constrained_superposition,[],[f7497,f6626]) ).
thf(f7713,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_9
| ~ spl0_155
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f7710]) ).
thf(f7718,plain,
( $false
| ~ spl0_9
| ~ spl0_11
| ~ spl0_155
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f7713,f126]) ).
thf(f7719,plain,
( ~ spl0_9
| ~ spl0_11
| ~ spl0_155
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f7718]) ).
thf(f7738,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| ~ spl0_143 ),
inference(constrained_superposition,[],[f3480,f6579]) ).
thf(f7739,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_143 ),
inference(constrained_superposition,[],[f190,f6579]) ).
thf(f7740,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_143 ),
inference(constrained_superposition,[],[f2983,f6579]) ).
thf(f7744,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z = X0 )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f7740]) ).
thf(f7745,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_9
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f7739]) ).
thf(f7747,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f7738]) ).
thf(f7749,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_143
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f7744,f7462]) ).
thf(f7750,plain,
( $false
| ~ spl0_9
| ~ spl0_143
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f7745,f7064]) ).
thf(f7751,plain,
( ~ spl0_9
| ~ spl0_143
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f7750]) ).
thf(f7752,plain,
( spl0_138
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f7747,f6578,f3099,f118,f76,f6291]) ).
thf(f7753,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_143
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f7749,f27]) ).
thf(f7754,plain,
( spl0_175
| ~ spl0_4
| ~ spl0_9
| ~ spl0_143
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f7753,f7461,f6578,f118,f76,f7293]) ).
thf(f7757,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_153 ),
inference(constrained_superposition,[],[f6619,f37]) ).
thf(f7760,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_153 ),
inference(trivial_inequality_removal,[],[f7757]) ).
thf(f7792,definition,
( spl0_185
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
thf(f7793,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f7792]) ).
thf(f7811,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f6594,f87]) ).
thf(f7816,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_147 ),
inference(duplicate_literal_removal,[],[f7811]) ).
thf(f7817,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f7816]) ).
thf(f7830,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_79 ),
inference(constrained_superposition,[],[f4333,f3136]) ).
thf(f7852,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_79 ),
inference(duplicate_literal_removal,[],[f7830]) ).
thf(f7853,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f7852]) ).
thf(f7859,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_79
| ~ spl0_133 ),
inference(constrained_superposition,[],[f7853,f6235]) ).
thf(f7866,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_79
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f7859]) ).
thf(f7892,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_168
| ~ spl0_175 ),
inference(constrained_superposition,[],[f7064,f7294]) ).
thf(f7897,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_175
| ~ spl0_180 ),
inference(constrained_superposition,[],[f7462,f7294]) ).
thf(f7970,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| ~ spl0_175 ),
inference(constrained_superposition,[],[f3480,f7294]) ).
thf(f7978,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_168
| ~ spl0_175 ),
inference(duplicate_literal_removal,[],[f7892]) ).
thf(f7987,plain,
( spl0_35
| ~ spl0_168
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f7978,f7293,f7063,f2656]) ).
thf(f7989,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| ~ spl0_175 ),
inference(forward_subsumption_resolution,[],[f7970,f190]) ).
thf(f7992,plain,
( spl0_48
| ~ spl0_175
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f7897,f7461,f7293,f2729]) ).
thf(f7996,definition,
( spl0_186
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f7997,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f7996]) ).
thf(f7998,plain,
( spl0_138
| spl0_186
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f7989,f7293,f3099,f118,f76,f7996,f6291]) ).
thf(f7999,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_69
| ~ spl0_186 ),
inference(constrained_superposition,[],[f7997,f3100]) ).
thf(f8002,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_69
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f7999]) ).
thf(f8005,plain,
( $false
| ~ spl0_69
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f8002,f27]) ).
thf(f8006,plain,
( ~ spl0_69
| ~ spl0_186 ),
inference(avatar_contradiction_clause,[],[f8005]) ).
thf(f8011,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_35
| spl0_161 ),
inference(constrained_superposition,[],[f6719,f2657]) ).
thf(f8022,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_35
| spl0_161 ),
inference(trivial_inequality_removal,[],[f8011]) ).
thf(f8030,plain,
( $false
| ~ spl0_35
| spl0_161 ),
inference(forward_subsumption_resolution,[],[f8022,f27]) ).
thf(f8031,plain,
( ~ spl0_35
| spl0_161 ),
inference(avatar_contradiction_clause,[],[f8030]) ).
thf(f8038,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_48
| ~ spl0_133
| ~ spl0_180 ),
inference(constrained_superposition,[],[f7676,f2730]) ).
thf(f8053,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_48
| ~ spl0_133
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f8038]) ).
thf(f8061,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_48
| ~ spl0_133
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f8053,f27]) ).
thf(f8066,plain,
( $false
| ~ spl0_48
| ~ spl0_133
| spl0_161
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f8061,f6719]) ).
thf(f8067,plain,
( ~ spl0_48
| ~ spl0_133
| spl0_161
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f8066]) ).
thf(f8079,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_17
| spl0_178 ),
inference(constrained_superposition,[],[f7447,f285]) ).
thf(f8092,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_17
| spl0_178 ),
inference(trivial_inequality_removal,[],[f8079]) ).
thf(f8106,plain,
( $false
| ~ spl0_17
| spl0_161
| spl0_178 ),
inference(forward_subsumption_resolution,[],[f8092,f6719]) ).
thf(f8107,plain,
( ~ spl0_17
| spl0_161
| spl0_178 ),
inference(avatar_contradiction_clause,[],[f8106]) ).
thf(f8113,definition,
( spl0_187
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
thf(f8114,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f8113]) ).
thf(f8115,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f7446]) ).
thf(f8116,plain,
( spl0_187
| spl0_178
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f7817,f6593,f7446,f8113]) ).
thf(f8126,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_177
| ~ spl0_178 ),
inference(constrained_superposition,[],[f7436,f8115]) ).
thf(f8133,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_177
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f8126]) ).
thf(f8136,plain,
( spl0_181
| ~ spl0_177
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f8133,f7446,f7435,f7654]) ).
thf(f8156,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_95
| ~ spl0_133 ),
inference(constrained_superposition,[],[f7643,f3466]) ).
thf(f8159,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_95
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f8156]) ).
thf(f8174,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f29,f3472]) ).
thf(f8182,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( z = X0 ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f8174]) ).
thf(f8191,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f8182,f29]) ).
thf(f8212,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_96 ),
inference(constrained_superposition,[],[f8191,f126]) ).
thf(f8240,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_11
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f8212]) ).
thf(f8924,definition,
( spl0_212
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).
thf(f8925,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f8924]) ).
thf(f9242,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_139 ),
inference(avatar_component_clause,[],[f6295]) ).
thf(f9265,plain,
( ( ( s @ z )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_138 ),
inference(avatar_component_clause,[],[f6291]) ).
thf(f9303,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| spl0_138 ),
inference(extensionality_resolution,[],[f238,f9265]) ).
thf(f9304,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| spl0_138 ),
inference(extensionality_resolution,[],[f238,f9265]) ).
thf(f9312,definition,
( spl0_242
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).
thf(f9313,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f9312]) ).
thf(f9315,definition,
( spl0_243
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).
thf(f9316,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f9315]) ).
thf(f9319,definition,
( spl0_244
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).
thf(f9320,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f9319]) ).
thf(f9321,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f6631]) ).
thf(f9324,definition,
( spl0_245
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).
thf(f9325,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f9324]) ).
thf(f9327,definition,
( spl0_246
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).
thf(f9328,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_246 ),
inference(avatar_component_clause,[],[f9327]) ).
thf(f9332,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_133
| ~ spl0_244 ),
inference(constrained_superposition,[],[f7643,f9320]) ).
thf(f9344,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_133
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f9332]) ).
thf(f9347,plain,
( $false
| ~ spl0_133
| ~ spl0_136
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f9344,f6246]) ).
thf(f9348,plain,
( ~ spl0_133
| ~ spl0_136
| ~ spl0_244 ),
inference(avatar_contradiction_clause,[],[f9347]) ).
thf(f9349,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_143 ),
inference(avatar_component_clause,[],[f6578]) ).
thf(f9351,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| spl0_143 ),
inference(constrained_superposition,[],[f9349,f238]) ).
thf(f9354,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| spl0_143 ),
inference(trivial_inequality_removal,[],[f9351]) ).
thf(f9356,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_18
| ~ spl0_156 ),
inference(constrained_superposition,[],[f7631,f9321]) ).
thf(f9360,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_156
| ~ spl0_169 ),
inference(constrained_superposition,[],[f7068,f9321]) ).
thf(f9393,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_18
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f9356]) ).
thf(f9394,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_156
| ~ spl0_169 ),
inference(duplicate_literal_removal,[],[f9360]) ).
thf(f9395,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_156
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f9394]) ).
thf(f9403,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_18
| spl0_85
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f9393,f4348]) ).
thf(f9406,definition,
( spl0_247
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).
thf(f9407,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_247 ),
inference(avatar_component_clause,[],[f9406]) ).
thf(f9411,plain,
( ~ spl0_158
| ~ spl0_157
| ~ spl0_18
| spl0_85
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f9403,f6631,f3159,f288,f6634,f6638]) ).
thf(f9413,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_247 ),
inference(constrained_superposition,[],[f9407,f35]) ).
thf(f9416,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_247 ),
inference(trivial_inequality_removal,[],[f9413]) ).
thf(f9419,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_158 ),
inference(constrained_superposition,[],[f6639,f32]) ).
thf(f9421,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_158 ),
inference(trivial_inequality_removal,[],[f9419]) ).
thf(f9424,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_155
| spl0_158 ),
inference(forward_subsumption_resolution,[],[f9421,f7357]) ).
thf(f9429,plain,
( spl0_159
| spl0_155
| spl0_158 ),
inference(avatar_split_clause,[],[f9424,f6638,f6625,f6644]) ).
thf(f9481,definition,
( spl0_248
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).
thf(f9482,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_248 ),
inference(avatar_component_clause,[],[f9481]) ).
thf(f9488,definition,
( spl0_249
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
thf(f9489,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f9488]) ).
thf(f9493,definition,
( spl0_250
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_250])],[avatar_definition]) ).
thf(f9494,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_250 ),
inference(avatar_component_clause,[],[f9493]) ).
thf(f9496,definition,
( spl0_251
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).
thf(f9497,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_251 ),
inference(avatar_component_clause,[],[f9496]) ).
thf(f9515,definition,
( spl0_253
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).
thf(f9516,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f9515]) ).
thf(f9518,definition,
( spl0_254
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_254])],[avatar_definition]) ).
thf(f9519,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f9518]) ).
thf(f9536,definition,
( spl0_255
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).
thf(f9537,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_255 ),
inference(avatar_component_clause,[],[f9536]) ).
thf(f9553,definition,
( spl0_256
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).
thf(f9554,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_256 ),
inference(avatar_component_clause,[],[f9553]) ).
thf(f9557,definition,
( spl0_257
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).
thf(f9558,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_257 ),
inference(avatar_component_clause,[],[f9557]) ).
thf(f9752,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_160 ),
inference(avatar_component_clause,[],[f6702]) ).
thf(f9765,plain,
( ( ( s @ z )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_159 ),
inference(avatar_component_clause,[],[f6644]) ).
thf(f9771,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_159 ),
inference(extensionality_resolution,[],[f84,f9765]) ).
thf(f9772,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_159 ),
inference(extensionality_resolution,[],[f84,f9765]) ).
thf(f9773,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_4
| spl0_159 ),
inference(extensionality_resolution,[],[f238,f9765]) ).
thf(f9774,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_4
| spl0_159 ),
inference(extensionality_resolution,[],[f238,f9765]) ).
thf(f9777,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_159 ),
inference(extensionality_resolution,[],[f37,f9765]) ).
thf(f9783,definition,
( spl0_258
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).
thf(f9784,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_258 ),
inference(avatar_component_clause,[],[f9783]) ).
thf(f9786,definition,
( spl0_259
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_259])],[avatar_definition]) ).
thf(f9787,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_259 ),
inference(avatar_component_clause,[],[f9786]) ).
thf(f9788,plain,
( spl0_258
| spl0_259
| spl0_159 ),
inference(avatar_split_clause,[],[f9777,f6644,f9786,f9783]) ).
thf(f9792,definition,
( spl0_260
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).
thf(f9793,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_260 ),
inference(avatar_component_clause,[],[f9792]) ).
thf(f9795,definition,
( spl0_261
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).
thf(f9796,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f9795]) ).
thf(f9797,plain,
( spl0_260
| spl0_261
| spl0_159 ),
inference(avatar_split_clause,[],[f9771,f6644,f9795,f9792]) ).
thf(f9800,definition,
( spl0_262
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).
thf(f9801,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f9800]) ).
thf(f9803,definition,
( spl0_263
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).
thf(f9804,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_263 ),
inference(avatar_component_clause,[],[f9803]) ).
thf(f9805,plain,
( spl0_262
| spl0_263
| spl0_159 ),
inference(avatar_split_clause,[],[f9772,f6644,f9803,f9800]) ).
thf(f9822,definition,
( spl0_264
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).
thf(f9823,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f9822]) ).
thf(f9825,definition,
( spl0_265
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
thf(f9826,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f9825]) ).
thf(f9829,definition,
( spl0_266
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
thf(f9830,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f9829]) ).
thf(f9832,definition,
( spl0_267
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_267])],[avatar_definition]) ).
thf(f9833,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_267 ),
inference(avatar_component_clause,[],[f9832]) ).
thf(f9840,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_9
| ~ spl0_248 ),
inference(constrained_superposition,[],[f188,f9482]) ).
thf(f9844,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_9
| ~ spl0_248 ),
inference(trivial_inequality_removal,[],[f9840]) ).
thf(f9881,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_254 ),
inference(avatar_component_clause,[],[f9518]) ).
thf(f9893,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_257 ),
inference(constrained_superposition,[],[f2922,f9558]) ).
thf(f9978,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_257 ),
inference(forward_subsumption_resolution,[],[f9893,f26]) ).
thf(f10007,plain,
( $false
| ~ spl0_257 ),
inference(forward_subsumption_resolution,[],[f9978,f30]) ).
thf(f10008,plain,
~ spl0_257,
inference(avatar_contradiction_clause,[],[f10007]) ).
thf(f10046,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f86,f9516]) ).
thf(f10131,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f10046,f26]) ).
thf(f10151,plain,
( $false
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f10131,f30]) ).
thf(f10152,plain,
~ spl0_253,
inference(avatar_contradiction_clause,[],[f10151]) ).
thf(f10174,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10
| ~ spl0_258 ),
inference(constrained_superposition,[],[f123,f9784]) ).
thf(f10196,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_10
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f10174]) ).
thf(f10209,definition,
( spl0_271
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
thf(f10210,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_271 ),
inference(avatar_component_clause,[],[f10209]) ).
thf(f10212,definition,
( spl0_272
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
thf(f10213,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_272 ),
inference(avatar_component_clause,[],[f10212]) ).
thf(f10217,definition,
( spl0_273
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_273])],[avatar_definition]) ).
thf(f10218,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_273 ),
inference(avatar_component_clause,[],[f10217]) ).
thf(f10223,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_272 ),
inference(constrained_superposition,[],[f10213,f36]) ).
thf(f10226,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_272 ),
inference(trivial_inequality_removal,[],[f10223]) ).
thf(f10295,definition,
( spl0_275
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
thf(f10296,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f10295]) ).
thf(f10321,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_275 ),
inference(constrained_superposition,[],[f87,f10296]) ).
thf(f10407,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f10321,f26]) ).
thf(f10427,plain,
( $false
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f10407,f30]) ).
thf(f10428,plain,
~ spl0_275,
inference(avatar_contradiction_clause,[],[f10427]) ).
thf(f10475,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_156
| ~ spl0_169 ),
inference(constrained_superposition,[],[f9395,f87]) ).
thf(f10476,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_156
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f10475]) ).
thf(f10482,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_155
| ~ spl0_156
| ~ spl0_169 ),
inference(forward_subsumption_resolution,[],[f10476,f7357]) ).
thf(f10483,plain,
( ~ spl0_87
| spl0_155
| ~ spl0_156
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f10482,f7067,f6631,f6625,f3166]) ).
thf(f10544,definition,
( spl0_277
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).
thf(f10545,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f10544]) ).
thf(f10567,definition,
( spl0_281
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_281])],[avatar_definition]) ).
thf(f10568,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_281 ),
inference(avatar_component_clause,[],[f10567]) ).
thf(f10584,definition,
( spl0_285
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
thf(f10585,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_285 ),
inference(avatar_component_clause,[],[f10584]) ).
thf(f10598,definition,
( spl0_288
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).
thf(f10599,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_288 ),
inference(avatar_component_clause,[],[f10598]) ).
thf(f10802,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_160 ),
inference(constrained_superposition,[],[f2922,f6703]) ).
thf(f10909,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f10802,f30]) ).
thf(f10937,plain,
( $false
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f10909,f26]) ).
thf(f10938,plain,
~ spl0_160,
inference(avatar_contradiction_clause,[],[f10937]) ).
thf(f10950,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_160 ),
inference(extensionality_resolution,[],[f84,f9752]) ).
thf(f10951,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_160 ),
inference(extensionality_resolution,[],[f84,f9752]) ).
thf(f10952,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_4
| spl0_160 ),
inference(extensionality_resolution,[],[f238,f9752]) ).
thf(f10953,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| spl0_160 ),
inference(extensionality_resolution,[],[f238,f9752]) ).
thf(f10956,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_160 ),
inference(extensionality_resolution,[],[f37,f9752]) ).
thf(f10957,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_160 ),
inference(extensionality_resolution,[],[f37,f9752]) ).
thf(f10960,plain,
( spl0_265
| spl0_264
| spl0_160 ),
inference(avatar_split_clause,[],[f10950,f6702,f9822,f9825]) ).
thf(f10961,plain,
( spl0_267
| spl0_266
| spl0_160 ),
inference(avatar_split_clause,[],[f10951,f6702,f9829,f9832]) ).
thf(f11022,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_285 ),
inference(constrained_superposition,[],[f10585,f32]) ).
thf(f11025,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_285 ),
inference(trivial_inequality_removal,[],[f11022]) ).
thf(f11028,plain,
( spl0_275
| spl0_277
| spl0_285 ),
inference(avatar_split_clause,[],[f11025,f10584,f10544,f10295]) ).
thf(f11092,definition,
( spl0_293
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).
thf(f11093,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f11092]) ).
thf(f11162,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_187
| ~ spl0_263 ),
inference(constrained_superposition,[],[f8114,f9804]) ).
thf(f11192,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_187
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f11162]) ).
thf(f11213,plain,
( ~ spl0_285
| ~ spl0_187
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f11192,f9803,f8113,f10584]) ).
thf(f11302,definition,
( spl0_300
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
thf(f11303,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_300 ),
inference(avatar_component_clause,[],[f11302]) ).
thf(f11337,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_154 ),
inference(constrained_superposition,[],[f6622,f32]) ).
thf(f11338,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_154 ),
inference(trivial_inequality_removal,[],[f11337]) ).
thf(f11340,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f11338,f27]) ).
thf(f11343,plain,
( $false
| spl0_154
| spl0_161 ),
inference(forward_subsumption_resolution,[],[f11340,f6719]) ).
thf(f11344,plain,
( spl0_154
| spl0_161 ),
inference(avatar_contradiction_clause,[],[f11343]) ).
thf(f11345,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_163 ),
inference(constrained_superposition,[],[f6877,f87]) ).
thf(f11348,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_163 ),
inference(trivial_inequality_removal,[],[f11345]) ).
thf(f11351,plain,
( spl0_178
| spl0_163 ),
inference(avatar_split_clause,[],[f11348,f6876,f7446]) ).
thf(f11376,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_136
| ~ spl0_181 ),
inference(constrained_superposition,[],[f7655,f6246]) ).
thf(f11381,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_136
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f11376]) ).
thf(f11388,plain,
( $false
| ~ spl0_69
| ~ spl0_136
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f11381,f3100]) ).
thf(f11389,plain,
( ~ spl0_69
| ~ spl0_136
| ~ spl0_181 ),
inference(avatar_contradiction_clause,[],[f11388]) ).
thf(f11406,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f29,f3160]) ).
thf(f11412,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f11406]) ).
thf(f11509,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_133
| ~ spl0_266 ),
inference(constrained_superposition,[],[f7643,f9830]) ).
thf(f11517,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_133
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f11509]) ).
thf(f11524,plain,
( $false
| ~ spl0_133
| ~ spl0_262
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f11517,f9801]) ).
thf(f11525,plain,
( ~ spl0_133
| ~ spl0_262
| ~ spl0_266 ),
inference(avatar_contradiction_clause,[],[f11524]) ).
thf(f11646,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f2922,f6296]) ).
thf(f11739,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f11646,f30]) ).
thf(f11776,plain,
( $false
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f11739,f26]) ).
thf(f11777,plain,
~ spl0_139,
inference(avatar_contradiction_clause,[],[f11776]) ).
thf(f11787,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_139 ),
inference(extensionality_resolution,[],[f84,f9242]) ).
thf(f11788,plain,
( ( $true
= ( 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 ) ) ) ) ) )
| spl0_139 ),
inference(extensionality_resolution,[],[f84,f9242]) ).
thf(f11791,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| spl0_139 ),
inference(extensionality_resolution,[],[f205,f9242]) ).
thf(f11793,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_139 ),
inference(extensionality_resolution,[],[f37,f9242]) ).
thf(f11794,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_139 ),
inference(extensionality_resolution,[],[f37,f9242]) ).
thf(f11796,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_139 ),
inference(extensionality_resolution,[],[f32,f9242]) ).
thf(f11798,definition,
( spl0_304
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).
thf(f11799,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f11798]) ).
thf(f11800,plain,
( spl0_281
| spl0_304
| spl0_139 ),
inference(avatar_split_clause,[],[f11787,f6295,f11798,f10567]) ).
thf(f11802,definition,
( spl0_305
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
thf(f11803,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f11802]) ).
thf(f11805,definition,
( spl0_306
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).
thf(f11806,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f11805]) ).
thf(f11807,plain,
( spl0_305
| spl0_306
| spl0_139 ),
inference(avatar_split_clause,[],[f11788,f6295,f11805,f11802]) ).
thf(f11808,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_300 ),
inference(constrained_superposition,[],[f11303,f86]) ).
thf(f11811,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_300 ),
inference(trivial_inequality_removal,[],[f11808]) ).
thf(f11814,plain,
( $false
| spl0_254
| spl0_300 ),
inference(forward_subsumption_resolution,[],[f11811,f9881]) ).
thf(f11815,plain,
( spl0_254
| spl0_300 ),
inference(avatar_contradiction_clause,[],[f11814]) ).
thf(f11822,definition,
( spl0_307
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).
thf(f11823,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_307 ),
inference(avatar_component_clause,[],[f11822]) ).
thf(f11824,plain,
( spl0_307
| spl0_254
| ~ spl0_10
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f10196,f9783,f122,f9518,f11822]) ).
thf(f11827,plain,
( spl0_254
| spl0_300 ),
inference(avatar_split_clause,[],[f11811,f11302,f9518]) ).
thf(f11830,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| ~ spl0_254 ),
inference(constrained_superposition,[],[f3480,f9519]) ).
thf(f11831,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_254 ),
inference(constrained_superposition,[],[f190,f9519]) ).
thf(f11839,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f11830]) ).
thf(f11846,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f11831]) ).
thf(f11849,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| spl0_159
| ~ spl0_254 ),
inference(forward_subsumption_resolution,[],[f11839,f9765]) ).
thf(f11850,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| spl0_159
| ~ spl0_254 ),
inference(avatar_contradiction_clause,[],[f11849]) ).
thf(f11852,plain,
( $false
| ~ spl0_9
| ~ spl0_254
| ~ spl0_256 ),
inference(forward_subsumption_resolution,[],[f11846,f9554]) ).
thf(f11853,plain,
( ~ spl0_9
| ~ spl0_254
| ~ spl0_256 ),
inference(avatar_contradiction_clause,[],[f11852]) ).
thf(f11860,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_69
| ~ spl0_259 ),
inference(constrained_superposition,[],[f3381,f9787]) ).
thf(f11871,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_69
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f11860]) ).
thf(f11874,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_133
| ~ spl0_305 ),
inference(constrained_superposition,[],[f7643,f11803]) ).
thf(f11885,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_133
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f11874]) ).
thf(f11889,plain,
( $false
| ~ spl0_133
| ~ spl0_243
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f11885,f9316]) ).
thf(f11890,plain,
( ~ spl0_133
| ~ spl0_243
| ~ spl0_305 ),
inference(avatar_contradiction_clause,[],[f11889]) ).
thf(f11896,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_145
| ~ spl0_306 ),
inference(constrained_superposition,[],[f6587,f11806]) ).
thf(f11906,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_306 ),
inference(constrained_superposition,[],[f229,f11806]) ).
thf(f11915,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_145
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f11896]) ).
thf(f11921,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f11906]) ).
thf(f11928,plain,
( ~ spl0_242
| ~ spl0_300
| ~ spl0_145
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f11915,f11805,f6586,f11302,f9312]) ).
thf(f11997,plain,
( spl0_245
| spl0_246
| spl0_160 ),
inference(avatar_split_clause,[],[f10956,f6702,f9327,f9324]) ).
thf(f12342,plain,
( spl0_242
| spl0_243
| spl0_160 ),
inference(avatar_split_clause,[],[f10957,f6702,f9315,f9312]) ).
thf(f12345,definition,
( spl0_309
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).
thf(f12346,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f12345]) ).
thf(f12348,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_96
| ~ spl0_249 ),
inference(constrained_superposition,[],[f8240,f9489]) ).
thf(f12351,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_69
| ~ spl0_249
| ~ spl0_259 ),
inference(constrained_superposition,[],[f11871,f9489]) ).
thf(f12352,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_9
| ~ spl0_248
| ~ spl0_249 ),
inference(constrained_superposition,[],[f9844,f9489]) ).
thf(f12357,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_96
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f12348]) ).
thf(f12359,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_69
| ~ spl0_249
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f12351]) ).
thf(f12365,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_9
| ~ spl0_248
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f12352]) ).
thf(f12366,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_96
| ~ spl0_249
| ~ spl0_256 ),
inference(forward_subsumption_resolution,[],[f12357,f9554]) ).
thf(f12367,plain,
( $false
| ~ spl0_69
| ~ spl0_85
| ~ spl0_249
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f12359,f3160]) ).
thf(f12368,plain,
( ~ spl0_69
| ~ spl0_85
| ~ spl0_249
| ~ spl0_259 ),
inference(avatar_contradiction_clause,[],[f12367]) ).
thf(f12370,plain,
( $false
| ~ spl0_9
| ~ spl0_11
| ~ spl0_248
| ~ spl0_249 ),
inference(forward_subsumption_resolution,[],[f12365,f126]) ).
thf(f12371,plain,
( ~ spl0_9
| ~ spl0_11
| ~ spl0_248
| ~ spl0_249 ),
inference(avatar_contradiction_clause,[],[f12370]) ).
thf(f12372,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_96
| ~ spl0_249
| ~ spl0_256 ),
inference(forward_subsumption_resolution,[],[f12366,f27]) ).
thf(f12374,plain,
( spl0_257
| ~ spl0_11
| ~ spl0_96
| ~ spl0_249
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f12372,f9553,f9488,f3471,f125,f9557]) ).
thf(f12385,plain,
( spl0_135
| spl0_134
| spl0_139 ),
inference(avatar_split_clause,[],[f11794,f6295,f6238,f6241]) ).
thf(f12390,plain,
( $false
| ~ spl0_133
| ~ spl0_170
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f7133,f7676]) ).
thf(f12391,plain,
( ~ spl0_133
| ~ spl0_170
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f12390]) ).
thf(f12398,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_79
| ~ spl0_133
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f7866,f6604]) ).
thf(f12399,plain,
( spl0_180
| spl0_247 ),
inference(avatar_split_clause,[],[f9416,f9406,f7461]) ).
thf(f12411,plain,
( spl0_180
| ~ spl0_79
| ~ spl0_133
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f12398,f6603,f6234,f3135,f7461]) ).
thf(f12429,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_165 ),
inference(constrained_superposition,[],[f7048,f32]) ).
thf(f12431,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_165 ),
inference(trivial_inequality_removal,[],[f12429]) ).
thf(f12435,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_160
| spl0_165 ),
inference(forward_subsumption_resolution,[],[f12431,f9752]) ).
thf(f12439,plain,
( spl0_146
| spl0_160
| spl0_165 ),
inference(avatar_split_clause,[],[f12435,f7047,f6702,f6589]) ).
thf(f12459,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_134
| ~ spl0_187 ),
inference(constrained_superposition,[],[f8114,f6239]) ).
thf(f12476,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_134
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f12459]) ).
thf(f12489,plain,
( ~ spl0_148
| ~ spl0_134
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f12476,f8113,f6238,f6597]) ).
thf(f12520,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_71
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f7760,f6053]) ).
thf(f12524,plain,
( spl0_150
| spl0_71
| spl0_153 ),
inference(avatar_split_clause,[],[f12520,f6618,f3106,f6603]) ).
thf(f12528,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_77 ),
inference(constrained_superposition,[],[f3130,f32]) ).
thf(f12529,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_77 ),
inference(trivial_inequality_removal,[],[f12528]) ).
thf(f12531,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_77 ),
inference(forward_subsumption_resolution,[],[f12529,f27]) ).
thf(f12534,plain,
( $false
| spl0_77
| spl0_83 ),
inference(forward_subsumption_resolution,[],[f12531,f3478]) ).
thf(f12535,plain,
( spl0_77
| spl0_83 ),
inference(avatar_contradiction_clause,[],[f12534]) ).
thf(f12539,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_161 ),
inference(constrained_superposition,[],[f29,f6721]) ).
thf(f12540,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f12539]) ).
thf(f12566,plain,
( spl0_177
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f11412,f3159,f7435]) ).
thf(f12614,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_155 ),
inference(constrained_superposition,[],[f29,f6626]) ).
thf(f12618,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f12614]) ).
thf(f12619,plain,
( spl0_177
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f12618,f6625,f7435]) ).
thf(f12620,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_248
| ~ spl0_249 ),
inference(constrained_superposition,[],[f9844,f9489]) ).
thf(f12626,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_9
| ~ spl0_248
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f12620]) ).
thf(f12629,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_248
| ~ spl0_249 ),
inference(constrained_superposition,[],[f12626,f384]) ).
thf(f12633,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_248
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f12629]) ).
thf(f12636,plain,
( spl0_54
| ~ spl0_4
| ~ spl0_9
| ~ spl0_248
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f12633,f9488,f9481,f118,f76,f2769]) ).
thf(f12654,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_135
| ~ spl0_183 ),
inference(constrained_superposition,[],[f7662,f6242]) ).
thf(f12663,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_135
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f12654]) ).
thf(f12664,plain,
( $false
| ~ spl0_135
| ~ spl0_168
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f12663,f7064]) ).
thf(f12665,plain,
( ~ spl0_135
| ~ spl0_168
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[],[f12664]) ).
thf(f12666,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| spl0_143 ),
inference(forward_subsumption_resolution,[],[f9354,f27]) ).
thf(f12669,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| spl0_138 ),
inference(forward_subsumption_resolution,[],[f9304,f3379]) ).
thf(f12678,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_95
| ~ spl0_133
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f8159,f6246]) ).
thf(f12684,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| spl0_138 ),
inference(forward_subsumption_resolution,[],[f9303,f3379]) ).
thf(f12685,plain,
( spl0_168
| spl0_11
| ~ spl0_4
| spl0_143 ),
inference(avatar_split_clause,[],[f12666,f6578,f76,f125,f7063]) ).
thf(f12687,plain,
( spl0_168
| spl0_146
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| spl0_138 ),
inference(avatar_split_clause,[],[f12669,f6291,f3099,f118,f76,f6589,f7063]) ).
thf(f12694,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_95
| ~ spl0_133
| ~ spl0_136
| spl0_160 ),
inference(forward_subsumption_resolution,[],[f12678,f9752]) ).
thf(f12696,plain,
( spl0_244
| spl0_168
| ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| spl0_138 ),
inference(avatar_split_clause,[],[f12684,f6291,f3099,f118,f76,f7063,f9319]) ).
thf(f12699,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_95
| ~ spl0_133
| ~ spl0_136
| spl0_160 ),
inference(forward_subsumption_resolution,[],[f12694,f27]) ).
thf(f12700,plain,
( spl0_168
| ~ spl0_95
| ~ spl0_133
| ~ spl0_136
| spl0_160 ),
inference(avatar_split_clause,[],[f12699,f6702,f6245,f6234,f3465,f7063]) ).
thf(f12701,plain,
( spl0_132
| spl0_133
| spl0_139 ),
inference(avatar_split_clause,[],[f11793,f6295,f6234,f6231]) ).
thf(f12704,plain,
( spl0_133
| spl0_168
| ~ spl0_154
| ~ spl0_4
| spl0_139 ),
inference(avatar_split_clause,[],[f11791,f6295,f76,f6621,f7063,f6234]) ).
thf(f12745,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_156 ),
inference(constrained_superposition,[],[f6632,f84]) ).
thf(f12746,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_156 ),
inference(constrained_superposition,[],[f6632,f37]) ).
thf(f12748,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_156 ),
inference(trivial_inequality_removal,[],[f12745]) ).
thf(f12750,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_156 ),
inference(trivial_inequality_removal,[],[f12746]) ).
thf(f12751,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_156 ),
inference(forward_subsumption_resolution,[],[f12748,f27]) ).
thf(f12753,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_138
| spl0_156 ),
inference(forward_subsumption_resolution,[],[f12750,f9265]) ).
thf(f12754,plain,
( spl0_244
| spl0_156 ),
inference(avatar_split_clause,[],[f12751,f6631,f9319]) ).
thf(f12756,plain,
( spl0_244
| spl0_138
| spl0_156 ),
inference(avatar_split_clause,[],[f12753,f6631,f6291,f9319]) ).
thf(f12758,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_69
| ~ spl0_244 ),
inference(constrained_superposition,[],[f3381,f9320]) ).
thf(f12766,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_69
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f12758]) ).
thf(f12768,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_82
| ~ spl0_132 ),
inference(constrained_superposition,[],[f3150,f6232]) ).
thf(f12772,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_80
| ~ spl0_132 ),
inference(constrained_superposition,[],[f3141,f6232]) ).
thf(f12783,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_80
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f12772]) ).
thf(f12789,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_82
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f12768]) ).
thf(f12795,plain,
( spl0_146
| spl0_142
| ~ spl0_80
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f12783,f6231,f3140,f6575,f6589]) ).
thf(f12883,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_187
| ~ spl0_242 ),
inference(constrained_superposition,[],[f8114,f9313]) ).
thf(f12906,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_187
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f12883]) ).
thf(f12912,plain,
( ~ spl0_300
| ~ spl0_187
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f12906,f9312,f8113,f11302]) ).
thf(f12915,plain,
( spl0_137
| spl0_136
| spl0_139 ),
inference(avatar_split_clause,[],[f11796,f6295,f6245,f6248]) ).
thf(f12926,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_137 ),
inference(constrained_superposition,[],[f4560,f6249]) ).
thf(f12937,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f12926]) ).
thf(f12968,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_245
| ~ spl0_248 ),
inference(constrained_superposition,[],[f9844,f9325]) ).
thf(f12973,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_245
| ~ spl0_248 ),
inference(trivial_inequality_removal,[],[f12968]) ).
thf(f12976,plain,
( $false
| ~ spl0_9
| ~ spl0_161
| ~ spl0_245
| ~ spl0_248 ),
inference(forward_subsumption_resolution,[],[f12973,f6721]) ).
thf(f12977,plain,
( ~ spl0_9
| ~ spl0_161
| ~ spl0_245
| ~ spl0_248 ),
inference(avatar_contradiction_clause,[],[f12976]) ).
thf(f13019,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_155
| ~ spl0_177 ),
inference(constrained_superposition,[],[f7436,f6626]) ).
thf(f13033,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_155
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f13019]) ).
thf(f13035,plain,
( spl0_185
| ~ spl0_155
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f13033,f7435,f6625,f7792]) ).
thf(f13036,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_185
| ~ spl0_244 ),
inference(constrained_superposition,[],[f7793,f9320]) ).
thf(f13040,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_180
| ~ spl0_185 ),
inference(constrained_superposition,[],[f7793,f7462]) ).
thf(f13043,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_185
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f13036]) ).
thf(f13044,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_180
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f13040]) ).
thf(f13048,plain,
( $false
| ~ spl0_69
| ~ spl0_185
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f13043,f3100]) ).
thf(f13049,plain,
( ~ spl0_69
| ~ spl0_185
| ~ spl0_244 ),
inference(avatar_contradiction_clause,[],[f13048]) ).
thf(f13050,plain,
( $false
| ~ spl0_9
| ~ spl0_180
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f13044,f119]) ).
thf(f13051,plain,
( ~ spl0_9
| ~ spl0_180
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f13050]) ).
thf(f13058,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_177 ),
inference(constrained_superposition,[],[f7436,f126]) ).
thf(f13064,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_11
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f13058]) ).
thf(f13082,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_248
| ~ spl0_304 ),
inference(constrained_superposition,[],[f9844,f11799]) ).
thf(f13087,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_9
| ~ spl0_248
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f13082]) ).
thf(f13090,plain,
( $false
| ~ spl0_9
| ~ spl0_168
| ~ spl0_248
| ~ spl0_304 ),
inference(forward_subsumption_resolution,[],[f13087,f7064]) ).
thf(f13091,plain,
( ~ spl0_9
| ~ spl0_168
| ~ spl0_248
| ~ spl0_304 ),
inference(avatar_contradiction_clause,[],[f13090]) ).
thf(f13116,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_281 ),
inference(constrained_superposition,[],[f229,f10568]) ).
thf(f13123,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_281 ),
inference(trivial_inequality_removal,[],[f13116]) ).
thf(f13216,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_161 ),
inference(constrained_superposition,[],[f12540,f6721]) ).
thf(f13225,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f13216]) ).
thf(f13234,plain,
( spl0_183
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f13225,f6718,f7661]) ).
thf(f13244,plain,
( spl0_150
| spl0_152
| ~ spl0_82
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f12789,f6231,f3149,f6613,f6603]) ).
thf(f13251,definition,
( spl0_327
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).
thf(f13252,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_327 ),
inference(avatar_component_clause,[],[f13251]) ).
thf(f13258,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_9
| ~ spl0_170 ),
inference(constrained_superposition,[],[f188,f7133]) ).
thf(f13263,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_9
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f13258]) ).
thf(f13266,plain,
( spl0_183
| ~ spl0_9
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f13263,f7132,f118,f7661]) ).
thf(f13281,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_183
| ~ spl0_243 ),
inference(constrained_superposition,[],[f7662,f9316]) ).
thf(f13284,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_178
| ~ spl0_183 ),
inference(constrained_superposition,[],[f7662,f8115]) ).
thf(f13291,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_178
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f13284]) ).
thf(f13293,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_183
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f13281]) ).
thf(f13294,plain,
( $false
| ~ spl0_11
| ~ spl0_178
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f13291,f126]) ).
thf(f13295,plain,
( ~ spl0_11
| ~ spl0_178
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[],[f13294]) ).
thf(f13298,plain,
( $false
| ~ spl0_183
| ~ spl0_243
| ~ spl0_256 ),
inference(forward_subsumption_resolution,[],[f13293,f9554]) ).
thf(f13299,plain,
( ~ spl0_183
| ~ spl0_243
| ~ spl0_256 ),
inference(avatar_contradiction_clause,[],[f13298]) ).
thf(f13300,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f11921,f27]) ).
thf(f13302,definition,
( spl0_328
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).
thf(f13303,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f13302]) ).
thf(f13321,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_281 ),
inference(forward_subsumption_resolution,[],[f13123,f27]) ).
thf(f13325,plain,
( spl0_256
| spl0_272 ),
inference(avatar_split_clause,[],[f10226,f10212,f9553]) ).
thf(f13332,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f13300,f27]) ).
thf(f13339,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_281 ),
inference(forward_subsumption_resolution,[],[f13321,f27]) ).
thf(f13344,plain,
( spl0_256
| spl0_168
| ~ spl0_4
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f13332,f11805,f76,f7063,f9553]) ).
thf(f13348,plain,
( spl0_256
| spl0_168
| ~ spl0_4
| ~ spl0_281 ),
inference(avatar_split_clause,[],[f13339,f10567,f76,f7063,f9553]) ).
thf(f13354,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_168
| ~ spl0_176 ),
inference(constrained_superposition,[],[f7295,f7429]) ).
thf(f13361,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_168
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f13354]) ).
thf(f13363,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_168
| ~ spl0_176 ),
inference(forward_subsumption_resolution,[],[f13361,f27]) ).
thf(f13364,plain,
( $false
| spl0_138
| spl0_168
| ~ spl0_176 ),
inference(forward_subsumption_resolution,[],[f13363,f9265]) ).
thf(f13365,plain,
( spl0_138
| spl0_168
| ~ spl0_176 ),
inference(avatar_contradiction_clause,[],[f13364]) ).
thf(f13366,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_4
| spl0_178 ),
inference(constrained_superposition,[],[f7447,f238]) ).
thf(f13367,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_4
| spl0_178 ),
inference(trivial_inequality_removal,[],[f13366]) ).
thf(f13427,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_170
| ~ spl0_181 ),
inference(constrained_superposition,[],[f7655,f7133]) ).
thf(f13432,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_170
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f13427]) ).
thf(f13436,plain,
( $false
| ~ spl0_9
| ~ spl0_170
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f13432,f119]) ).
thf(f13437,plain,
( ~ spl0_9
| ~ spl0_170
| ~ spl0_181 ),
inference(avatar_contradiction_clause,[],[f13436]) ).
thf(f13458,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_69
| ~ spl0_244
| ~ spl0_305 ),
inference(constrained_superposition,[],[f12766,f11803]) ).
thf(f13463,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_69
| ~ spl0_244
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f13458]) ).
thf(f13466,plain,
( $false
| ~ spl0_69
| ~ spl0_244
| ~ spl0_250
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f13463,f9494]) ).
thf(f13467,plain,
( ~ spl0_69
| ~ spl0_244
| ~ spl0_250
| ~ spl0_305 ),
inference(avatar_contradiction_clause,[],[f13466]) ).
thf(f13469,definition,
( spl0_330
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).
thf(f13470,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_330 ),
inference(avatar_component_clause,[],[f13469]) ).
thf(f13484,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_69
| ~ spl0_133
| ~ spl0_244 ),
inference(constrained_superposition,[],[f12766,f6235]) ).
thf(f13491,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_69
| ~ spl0_133
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f13484]) ).
thf(f13508,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_80
| ~ spl0_242 ),
inference(constrained_superposition,[],[f3141,f9313]) ).
thf(f13514,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_242 ),
inference(constrained_superposition,[],[f4560,f9313]) ).
thf(f13523,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_80
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f13508]) ).
thf(f13527,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f13514]) ).
thf(f13538,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_161
| ~ spl0_245 ),
inference(constrained_superposition,[],[f12540,f9325]) ).
thf(f13542,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_161
| ~ spl0_245 ),
inference(trivial_inequality_removal,[],[f13538]) ).
thf(f13546,plain,
( spl0_255
| ~ spl0_161
| ~ spl0_245 ),
inference(avatar_split_clause,[],[f13542,f9324,f6718,f9536]) ).
thf(f13575,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_306 ),
inference(constrained_superposition,[],[f4560,f11806]) ).
thf(f13591,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f13575]) ).
thf(f13599,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f13591,f27]) ).
thf(f13603,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| spl0_168
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f13599,f7295]) ).
thf(f13604,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| spl0_168
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f13603,f27]) ).
thf(f13605,plain,
( spl0_180
| spl0_248
| ~ spl0_2
| spl0_168
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f13604,f11805,f7063,f53,f9481,f7461]) ).
thf(f13622,plain,
( spl0_330
| spl0_150
| ~ spl0_80
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f13523,f9312,f3140,f6603,f13469]) ).
thf(f13625,plain,
( ~ spl0_150
| ~ spl0_69
| ~ spl0_133
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f13491,f9319,f6234,f3099,f6603]) ).
thf(f13643,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f29,f7064]) ).
thf(f13644,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f13643]) ).
thf(f13669,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_80
| ~ spl0_134 ),
inference(constrained_superposition,[],[f3141,f6239]) ).
thf(f13688,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_80
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f13669]) ).
thf(f13695,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_80
| ~ spl0_134
| spl0_150 ),
inference(forward_subsumption_resolution,[],[f13688,f6690]) ).
thf(f13697,plain,
( spl0_142
| ~ spl0_80
| ~ spl0_134
| spl0_150 ),
inference(avatar_split_clause,[],[f13695,f6603,f6238,f3140,f6575]) ).
thf(f13896,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f6576,f87]) ).
thf(f13900,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f13896]) ).
thf(f14085,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f6614,f86]) ).
thf(f14094,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f14085]) ).
thf(f14132,definition,
( spl0_331
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).
thf(f14133,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f14132]) ).
thf(f14145,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_133
| ~ spl0_331 ),
inference(constrained_superposition,[],[f14133,f6235]) ).
thf(f14151,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_133
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f14145]) ).
thf(f14154,plain,
( $false
| ~ spl0_133
| ~ spl0_161
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f14151,f6721]) ).
thf(f14155,plain,
( ~ spl0_133
| ~ spl0_161
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f14154]) ).
thf(f14170,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_170 ),
inference(avatar_component_clause,[],[f7132]) ).
thf(f14192,definition,
( spl0_336
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_336])],[avatar_definition]) ).
thf(f14193,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_336 ),
inference(avatar_component_clause,[],[f14192]) ).
thf(f14196,definition,
( spl0_337
<=> ! [X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_337])],[avatar_definition]) ).
thf(f14197,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_337 ),
inference(avatar_component_clause,[],[f14196]) ).
thf(f14203,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_2
| spl0_83 ),
inference(forward_subsumption_resolution,[],[f4578,f3478]) ).
thf(f14223,definition,
( spl0_343
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).
thf(f14224,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_343 ),
inference(avatar_component_clause,[],[f14223]) ).
thf(f14231,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| spl0_9 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f14233,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_2
| spl0_83 ),
inference(forward_subsumption_resolution,[],[f14203,f27]) ).
thf(f14241,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_2
| spl0_83 ),
inference(forward_subsumption_resolution,[],[f14233,f27]) ).
thf(f14246,plain,
( spl0_79
| spl0_75
| ~ spl0_2
| spl0_83 ),
inference(avatar_split_clause,[],[f14241,f3152,f53,f3122,f3135]) ).
thf(f14255,plain,
( spl0_336
| ~ spl0_11
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f13064,f7435,f125,f14192]) ).
thf(f14256,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_69
| ~ spl0_336 ),
inference(constrained_superposition,[],[f14193,f3100]) ).
thf(f14260,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_69
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f14256]) ).
thf(f14269,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f2766,f32]) ).
thf(f14272,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f2766,f86]) ).
thf(f14274,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f14272]) ).
thf(f14276,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f14269]) ).
thf(f14277,plain,
( spl0_14
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f14274,f2765,f210]) ).
thf(f14278,plain,
( spl0_32
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f14276,f2765,f2645]) ).
thf(f14279,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_143
| ~ spl0_336 ),
inference(constrained_superposition,[],[f14193,f6579]) ).
thf(f14285,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_143
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f14279]) ).
thf(f14287,plain,
( $false
| ~ spl0_143
| ~ spl0_168
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f14285,f7064]) ).
thf(f14288,plain,
( ~ spl0_143
| ~ spl0_168
| ~ spl0_336 ),
inference(avatar_contradiction_clause,[],[f14287]) ).
thf(f14291,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_69
| spl0_71
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f6223,f14260]) ).
thf(f14292,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f12937,f27]) ).
thf(f14294,definition,
( spl0_347
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).
thf(f14295,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_347 ),
inference(avatar_component_clause,[],[f14294]) ).
thf(f14299,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f13527,f27]) ).
thf(f14305,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_69
| spl0_71
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f6222,f14260]) ).
thf(f14306,plain,
( $false
| ~ spl0_69
| ~ spl0_75
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f3123,f14260]) ).
thf(f14307,plain,
( ~ spl0_69
| ~ spl0_75
| ~ spl0_336 ),
inference(avatar_contradiction_clause,[],[f14306]) ).
thf(f14308,plain,
( spl0_150
| spl0_161
| ~ spl0_4
| ~ spl0_69
| spl0_71
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f14291,f14192,f3106,f3099,f76,f6718,f6603]) ).
thf(f14309,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| spl0_83
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f14292,f3478]) ).
thf(f14312,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f14299,f27]) ).
thf(f14315,plain,
( spl0_136
| spl0_161
| ~ spl0_4
| ~ spl0_69
| spl0_71
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f14305,f14192,f3106,f3099,f76,f6718,f6245]) ).
thf(f14316,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| spl0_83
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f14309,f27]) ).
thf(f14318,plain,
( spl0_248
| spl0_170
| spl0_161
| ~ spl0_2
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f14312,f9312,f53,f6718,f7132,f9481]) ).
thf(f14320,plain,
( spl0_161
| spl0_170
| ~ spl0_2
| spl0_83
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f14316,f6248,f3152,f53,f7132,f6718]) ).
thf(f14329,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f29,f3153]) ).
thf(f14333,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f14329]) ).
thf(f14336,plain,
( spl0_343
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f14333,f3152,f14223]) ).
thf(f14350,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_174 ),
inference(constrained_superposition,[],[f7250,f35]) ).
thf(f14352,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_174 ),
inference(trivial_inequality_removal,[],[f14350]) ).
thf(f14354,plain,
( spl0_170
| spl0_174 ),
inference(avatar_split_clause,[],[f14352,f7249,f7132]) ).
thf(f14358,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_170 ),
inference(constrained_superposition,[],[f29,f7133]) ).
thf(f14361,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f14358]) ).
thf(f14362,plain,
( spl0_343
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f14361,f7132,f14223]) ).
thf(f14428,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_254
| ~ spl0_336 ),
inference(constrained_superposition,[],[f14193,f9519]) ).
thf(f14435,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_254
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f14428]) ).
thf(f14436,plain,
( $false
| ~ spl0_254
| ~ spl0_256
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f14435,f9554]) ).
thf(f14437,plain,
( ~ spl0_254
| ~ spl0_256
| ~ spl0_336 ),
inference(avatar_contradiction_clause,[],[f14436]) ).
thf(f14444,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| spl0_254 ),
inference(constrained_superposition,[],[f9881,f238]) ).
thf(f14445,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| spl0_254 ),
inference(trivial_inequality_removal,[],[f14444]) ).
thf(f14457,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_83
| ~ spl0_343 ),
inference(constrained_superposition,[],[f14224,f3153]) ).
thf(f14458,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_170
| ~ spl0_343 ),
inference(constrained_superposition,[],[f14224,f7133]) ).
thf(f14459,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_170
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f14458]) ).
thf(f14461,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_83
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f14457]) ).
thf(f14462,plain,
( spl0_183
| ~ spl0_170
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f14459,f14223,f7132,f7661]) ).
thf(f14463,plain,
( spl0_94
| ~ spl0_83
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f14461,f14223,f3152,f3462]) ).
thf(f14471,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_85
| ~ spl0_94 ),
inference(constrained_superposition,[],[f3463,f3160]) ).
thf(f14478,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_85
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f14471]) ).
thf(f14479,plain,
( $false
| ~ spl0_11
| ~ spl0_85
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f14478,f126]) ).
thf(f14480,plain,
( ~ spl0_11
| ~ spl0_85
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f14479]) ).
thf(f14481,plain,
( ( $true != $true )
| ~ spl0_1
| spl0_9 ),
inference(constrained_superposition,[],[f14231,f51]) ).
thf(f14482,plain,
( ( $true != $true )
| ~ spl0_1
| spl0_170 ),
inference(constrained_superposition,[],[f14170,f51]) ).
thf(f14489,plain,
( $false
| ~ spl0_1
| spl0_9 ),
inference(trivial_inequality_removal,[],[f14481]) ).
thf(f14490,plain,
( ~ spl0_1
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f14489]) ).
thf(f14494,plain,
( $false
| ~ spl0_1
| spl0_170 ),
inference(trivial_inequality_removal,[],[f14482]) ).
thf(f14495,plain,
( ~ spl0_1
| spl0_170 ),
inference(avatar_contradiction_clause,[],[f14494]) ).
thf(f14542,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f29,f7462]) ).
thf(f14544,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f14542]) ).
thf(f14546,plain,
( spl0_343
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f14544,f7461,f14223]) ).
thf(f14549,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_248 ),
inference(constrained_superposition,[],[f29,f9482]) ).
thf(f14551,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_248 ),
inference(trivial_inequality_removal,[],[f14549]) ).
thf(f14553,plain,
( spl0_343
| ~ spl0_248 ),
inference(avatar_split_clause,[],[f14551,f9481,f14223]) ).
thf(f14554,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_271 ),
inference(constrained_superposition,[],[f10210,f35]) ).
thf(f14557,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_271 ),
inference(trivial_inequality_removal,[],[f14554]) ).
thf(f14558,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_180
| ~ spl0_343 ),
inference(constrained_superposition,[],[f14224,f7462]) ).
thf(f14560,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_180
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f14558]) ).
thf(f14562,plain,
( spl0_331
| ~ spl0_180
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f14560,f14223,f7461,f14132]) ).
thf(f14610,plain,
( spl0_161
| spl0_256
| spl0_245
| ~ spl0_4
| spl0_160 ),
inference(avatar_split_clause,[],[f10952,f6702,f76,f9324,f9553,f6718]) ).
thf(f14613,plain,
( spl0_161
| spl0_256
| spl0_243
| ~ spl0_4
| spl0_160 ),
inference(avatar_split_clause,[],[f10953,f6702,f76,f9315,f9553,f6718]) ).
thf(f14614,plain,
( spl0_143
| ~ spl0_7
| ~ spl0_144
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f14094,f6613,f6582,f111,f6578]) ).
thf(f14615,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| spl0_109 ),
inference(forward_subsumption_resolution,[],[f7145,f27]) ).
thf(f14616,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_4
| spl0_254 ),
inference(forward_subsumption_resolution,[],[f14445,f27]) ).
thf(f14617,plain,
( spl0_155
| ~ spl0_163
| ~ spl0_7
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f13900,f6575,f111,f6876,f6625]) ).
thf(f14618,plain,
( spl0_75
| spl0_259
| spl0_256
| ~ spl0_4
| spl0_159 ),
inference(avatar_split_clause,[],[f9773,f6644,f76,f9553,f9786,f3122]) ).
thf(f14620,plain,
( spl0_250
| spl0_256
| spl0_75
| ~ spl0_4
| spl0_159 ),
inference(avatar_split_clause,[],[f9774,f6644,f76,f3122,f9553,f9493]) ).
thf(f14624,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| spl0_178 ),
inference(forward_subsumption_resolution,[],[f13367,f27]) ).
thf(f14625,plain,
( spl0_161
| spl0_11
| ~ spl0_4
| spl0_109 ),
inference(avatar_split_clause,[],[f14615,f5581,f76,f125,f6718]) ).
thf(f14626,plain,
( spl0_256
| spl0_11
| ~ spl0_4
| spl0_254 ),
inference(avatar_split_clause,[],[f14616,f9518,f76,f125,f9553]) ).
thf(f14627,plain,
( spl0_11
| spl0_161
| ~ spl0_4
| spl0_178 ),
inference(avatar_split_clause,[],[f14624,f7446,f76,f6718,f125]) ).
thf(f14628,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_100
| ~ spl0_343 ),
inference(constrained_superposition,[],[f14224,f4351]) ).
thf(f14630,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_100 ),
inference(constrained_superposition,[],[f29,f4351]) ).
thf(f14631,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_100
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f14628]) ).
thf(f14632,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_100 ),
inference(trivial_inequality_removal,[],[f14630]) ).
thf(f14634,plain,
( spl0_212
| ~ spl0_100
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f14631,f14223,f4350,f8924]) ).
thf(f14643,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_62 ),
inference(constrained_superposition,[],[f2828,f87]) ).
thf(f14649,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f14643]) ).
thf(f14667,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_94
| ~ spl0_150 ),
inference(constrained_superposition,[],[f3463,f6604]) ).
thf(f14671,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_94
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f14667]) ).
thf(f14672,plain,
( $false
| ~ spl0_94
| ~ spl0_150
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f14671,f6721]) ).
thf(f14673,plain,
( ~ spl0_94
| ~ spl0_150
| ~ spl0_161 ),
inference(avatar_contradiction_clause,[],[f14672]) ).
thf(f14684,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_136
| ~ spl0_183 ),
inference(constrained_superposition,[],[f7662,f6246]) ).
thf(f14688,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_136
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f14684]) ).
thf(f14691,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_4
| ~ spl0_136
| ~ spl0_183 ),
inference(constrained_superposition,[],[f14688,f384]) ).
thf(f14695,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_136
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f14691]) ).
thf(f14697,plain,
( spl0_96
| ~ spl0_4
| ~ spl0_136
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f14695,f7661,f6245,f76,f3471]) ).
thf(f14698,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_212
| ~ spl0_261 ),
inference(constrained_superposition,[],[f8925,f9796]) ).
thf(f14701,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_155
| ~ spl0_212 ),
inference(constrained_superposition,[],[f8925,f6626]) ).
thf(f14710,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_212
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f14698]) ).
thf(f14711,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_155
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f14701]) ).
thf(f14713,plain,
( $false
| ~ spl0_161
| ~ spl0_212
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f14710,f6721]) ).
thf(f14714,plain,
( ~ spl0_161
| ~ spl0_212
| ~ spl0_261 ),
inference(avatar_contradiction_clause,[],[f14713]) ).
thf(f14716,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_155
| ~ spl0_212 ),
inference(constrained_superposition,[],[f14711,f378]) ).
thf(f14720,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_155
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f14716]) ).
thf(f14723,plain,
( spl0_337
| ~ spl0_4
| ~ spl0_155
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f14720,f8924,f6625,f76,f14196]) ).
thf(f14754,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_69
| ~ spl0_250 ),
inference(constrained_superposition,[],[f3447,f9494]) ).
thf(f14758,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_69
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f14754]) ).
thf(f14760,plain,
( $false
| ~ spl0_69
| ~ spl0_250
| ~ spl0_254 ),
inference(forward_subsumption_resolution,[],[f14758,f9519]) ).
thf(f14761,plain,
( ~ spl0_69
| ~ spl0_250
| ~ spl0_254 ),
inference(avatar_contradiction_clause,[],[f14760]) ).
thf(f14762,plain,
( $false
| ~ spl0_75
| ~ spl0_136
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f3123,f14688]) ).
thf(f14763,plain,
( ~ spl0_75
| ~ spl0_136
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[],[f14762]) ).
thf(f14831,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_80
| ~ spl0_246 ),
inference(constrained_superposition,[],[f3141,f9328]) ).
thf(f14848,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_80
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f14831]) ).
thf(f14852,plain,
( spl0_250
| spl0_330
| ~ spl0_80
| ~ spl0_246 ),
inference(avatar_split_clause,[],[f14848,f9327,f3140,f13469,f9493]) ).
thf(f14881,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_62 ),
inference(constrained_superposition,[],[f14649,f36]) ).
thf(f14884,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f14881]) ).
thf(f14886,plain,
( spl0_17
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f14884,f2827,f284]) ).
thf(f14898,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_327 ),
inference(constrained_superposition,[],[f13252,f238]) ).
thf(f14904,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_4
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f14898]) ).
thf(f14905,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_212
| ~ spl0_304 ),
inference(constrained_superposition,[],[f8925,f11799]) ).
thf(f14909,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_212
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f14905]) ).
thf(f14911,plain,
( $false
| ~ spl0_168
| ~ spl0_212
| ~ spl0_304 ),
inference(forward_subsumption_resolution,[],[f14909,f7064]) ).
thf(f14912,plain,
( ~ spl0_168
| ~ spl0_212
| ~ spl0_304 ),
inference(avatar_contradiction_clause,[],[f14911]) ).
thf(f14913,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_185
| ~ spl0_305 ),
inference(constrained_superposition,[],[f7793,f11803]) ).
thf(f14918,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_185
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f14913]) ).
thf(f14921,plain,
( $false
| ~ spl0_185
| ~ spl0_254
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f14918,f9519]) ).
thf(f14922,plain,
( ~ spl0_185
| ~ spl0_254
| ~ spl0_305 ),
inference(avatar_contradiction_clause,[],[f14921]) ).
thf(f14928,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_142
| ~ spl0_306 ),
inference(constrained_superposition,[],[f6576,f11806]) ).
thf(f14944,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_142
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f14928]) ).
thf(f14953,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_142
| ~ spl0_242
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f14944,f9313]) ).
thf(f14955,plain,
( ~ spl0_272
| ~ spl0_142
| ~ spl0_242
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f14953,f11805,f9312,f6575,f10212]) ).
thf(f14966,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_260 ),
inference(constrained_superposition,[],[f103,f9793]) ).
thf(f14972,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f14966]) ).
thf(f15047,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f35]) ).
thf(f15049,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f15047]) ).
thf(f15081,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_185
| ~ spl0_266 ),
inference(constrained_superposition,[],[f7793,f9830]) ).
thf(f15087,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_185
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f15081]) ).
thf(f15089,plain,
( $false
| ~ spl0_185
| ~ spl0_266
| ~ spl0_277 ),
inference(forward_subsumption_resolution,[],[f15087,f10545]) ).
thf(f15090,plain,
( ~ spl0_185
| ~ spl0_266
| ~ spl0_277 ),
inference(avatar_contradiction_clause,[],[f15089]) ).
thf(f15161,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_2
| ~ spl0_132 ),
inference(constrained_superposition,[],[f15049,f6232]) ).
thf(f15185,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f15161]) ).
thf(f15208,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f13644,f7064]) ).
thf(f15214,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f15208]) ).
thf(f15220,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_251 ),
inference(constrained_superposition,[],[f9497,f2922]) ).
thf(f15230,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f15220]) ).
thf(f15240,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f13470,f87]) ).
thf(f15243,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f15240]) ).
thf(f15248,plain,
( ~ spl0_163
| spl0_249
| ~ spl0_7
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f15243,f13469,f111,f9488,f6876]) ).
thf(f15284,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f2646,f32]) ).
thf(f15286,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f15284]) ).
thf(f15288,plain,
( spl0_54
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f15286,f2645,f2769]) ).
thf(f15299,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_124
| ~ spl0_156 ),
inference(constrained_superposition,[],[f6148,f9321]) ).
thf(f15310,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_124
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f15299]) ).
thf(f15329,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_124
| ~ spl0_156
| ~ spl0_281 ),
inference(constrained_superposition,[],[f15310,f10568]) ).
thf(f15341,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_124
| ~ spl0_156
| ~ spl0_281 ),
inference(trivial_inequality_removal,[],[f15329]) ).
thf(f15396,plain,
( spl0_250
| ~ spl0_78
| ~ spl0_153
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f15230,f9496,f6618,f3132,f9493]) ).
thf(f15405,plain,
( ~ spl0_258
| ~ spl0_300
| ~ spl0_124
| ~ spl0_156
| ~ spl0_281 ),
inference(avatar_split_clause,[],[f15341,f10567,f6631,f6147,f11302,f9783]) ).
thf(f15410,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_4
| spl0_85 ),
inference(constrained_superposition,[],[f4348,f238]) ).
thf(f15411,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ z ) )
| ~ spl0_4
| spl0_85 ),
inference(trivial_inequality_removal,[],[f15410]) ).
thf(f15412,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_4
| spl0_85
| ~ spl0_136
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f15411,f14688]) ).
thf(f15413,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_4
| spl0_85
| ~ spl0_136
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f15412,f27]) ).
thf(f15414,plain,
( spl0_11
| ~ spl0_4
| spl0_85
| ~ spl0_136
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f15413,f7661,f6245,f3159,f76,f125]) ).
thf(f15483,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_258
| ~ spl0_330 ),
inference(constrained_superposition,[],[f13470,f9784]) ).
thf(f15504,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_258
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f15483]) ).
thf(f15520,plain,
( spl0_343
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f14632,f4350,f14223]) ).
thf(f15521,plain,
( $false
| ~ spl0_100
| spl0_170 ),
inference(forward_subsumption_resolution,[],[f14170,f4351]) ).
thf(f15522,plain,
( ~ spl0_100
| spl0_170 ),
inference(avatar_contradiction_clause,[],[f15521]) ).
thf(f15523,plain,
( spl0_331
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f15214,f7063,f14132]) ).
thf(f15534,plain,
( spl0_248
| spl0_271 ),
inference(avatar_split_clause,[],[f14557,f10209,f9481]) ).
thf(f15550,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_4
| spl0_150 ),
inference(constrained_superposition,[],[f6690,f238]) ).
thf(f15551,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| spl0_150 ),
inference(trivial_inequality_removal,[],[f15550]) ).
thf(f15552,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_94
| ~ spl0_250 ),
inference(constrained_superposition,[],[f3463,f9494]) ).
thf(f15556,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_94
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f15552]) ).
thf(f15559,plain,
( $false
| ~ spl0_94
| ~ spl0_250
| ~ spl0_256 ),
inference(forward_subsumption_resolution,[],[f15556,f9554]) ).
thf(f15560,plain,
( ~ spl0_94
| ~ spl0_250
| ~ spl0_256 ),
inference(avatar_contradiction_clause,[],[f15559]) ).
thf(f15570,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_4
| ~ spl0_94
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f14904,f3463]) ).
thf(f15572,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_4
| spl0_71
| spl0_150 ),
inference(forward_subsumption_resolution,[],[f15551,f6053]) ).
thf(f15579,definition,
( spl0_350
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_350])],[avatar_definition]) ).
thf(f15580,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_350 ),
inference(avatar_component_clause,[],[f15579]) ).
thf(f15581,plain,
( spl0_161
| spl0_350
| ~ spl0_4
| ~ spl0_94
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f15570,f13251,f3462,f76,f15579,f6718]) ).
thf(f15582,plain,
( spl0_161
| spl0_75
| ~ spl0_4
| spl0_71
| spl0_150 ),
inference(avatar_split_clause,[],[f15572,f6603,f3106,f76,f3122,f6718]) ).
thf(f15619,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f29,f8115]) ).
thf(f15622,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f15619]) ).
thf(f15623,plain,
( spl0_177
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f15622,f7446,f7435]) ).
thf(f15624,plain,
( ~ spl0_137
| ~ spl0_78
| ~ spl0_258
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f15504,f13469,f9783,f3132,f6248]) ).
thf(f15634,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_126
| ~ spl0_137 ),
inference(constrained_superposition,[],[f6160,f6249]) ).
thf(f15646,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_126
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f15634]) ).
thf(f15659,plain,
( spl0_347
| ~ spl0_154
| ~ spl0_126
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f15646,f6248,f6159,f6621,f14294]) ).
thf(f15674,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_94
| ~ spl0_146 ),
inference(constrained_superposition,[],[f3463,f6590]) ).
thf(f15682,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_94
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f15674]) ).
thf(f15684,plain,
( $false
| ~ spl0_94
| ~ spl0_146
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f15682,f7064]) ).
thf(f15685,plain,
( ~ spl0_94
| ~ spl0_146
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f15684]) ).
thf(f15732,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_135
| ~ spl0_181 ),
inference(constrained_superposition,[],[f7655,f6242]) ).
thf(f15735,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_135
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f15732]) ).
thf(f15739,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_244
| ~ spl0_331 ),
inference(constrained_superposition,[],[f14133,f9320]) ).
thf(f15743,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_244
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f15739]) ).
thf(f15744,plain,
( $false
| ~ spl0_75
| ~ spl0_244
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f15743,f3123]) ).
thf(f15745,plain,
( ~ spl0_75
| ~ spl0_244
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f15744]) ).
thf(f15749,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_142
| ~ spl0_156 ),
inference(constrained_superposition,[],[f6576,f9321]) ).
thf(f15765,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_142
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f15749]) ).
thf(f15778,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_181
| ~ spl0_243 ),
inference(constrained_superposition,[],[f7655,f9316]) ).
thf(f15785,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_181
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f15778]) ).
thf(f15794,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_288
| ~ spl0_350 ),
inference(constrained_superposition,[],[f15580,f10599]) ).
thf(f15800,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_288
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f15794]) ).
thf(f15804,plain,
( spl0_257
| ~ spl0_288
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f15800,f15579,f10598,f9557]) ).
thf(f15812,plain,
( spl0_277
| spl0_147
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f14972,f9792,f6593,f10544]) ).
thf(f15827,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_4
| ~ spl0_177 ),
inference(constrained_superposition,[],[f7436,f384]) ).
thf(f15829,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( z = X1 )
| ( $true
!= ( r @ X0 @ z ) )
| ( z
= ( s @ z ) )
| ( ( r @ X1 @ z )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_177 ),
inference(constrained_superposition,[],[f7436,f236]) ).
thf(f15830,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( ( r @ X1 @ z )
= $true )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f15829]) ).
thf(f15831,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_4
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f15827]) ).
thf(f15835,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( ( r @ X1 @ z )
= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( z = X1 ) )
| ~ spl0_4
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[],[f15830,f27]) ).
thf(f15836,plain,
( spl0_54
| spl0_336
| ~ spl0_4
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f15831,f7435,f76,f14192,f2769]) ).
thf(f15839,plain,
( spl0_337
| spl0_336
| ~ spl0_4
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f15835,f7435,f76,f14192,f14196]) ).
thf(f15846,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_305
| ~ spl0_331 ),
inference(constrained_superposition,[],[f14133,f11803]) ).
thf(f15851,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_305
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f15846]) ).
thf(f15852,plain,
( $false
| ~ spl0_256
| ~ spl0_305
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f15851,f9554]) ).
thf(f15853,plain,
( ~ spl0_256
| ~ spl0_305
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f15852]) ).
thf(f15854,plain,
( ~ spl0_143
| ~ spl0_135
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f15735,f7654,f6241,f6578]) ).
thf(f15855,plain,
( ~ spl0_254
| ~ spl0_181
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f15785,f9315,f7654,f9518]) ).
thf(f15884,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_155
| ~ spl0_331 ),
inference(constrained_superposition,[],[f14133,f6626]) ).
thf(f15890,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_155
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f15884]) ).
thf(f15892,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_4
| ~ spl0_155
| ~ spl0_331 ),
inference(constrained_superposition,[],[f15890,f378]) ).
thf(f15894,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_155
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f15892]) ).
thf(f15897,plain,
( spl0_337
| ~ spl0_4
| ~ spl0_155
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f15894,f14132,f6625,f76,f14196]) ).
thf(f15901,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_178
| ~ spl0_183 ),
inference(constrained_superposition,[],[f7662,f8115]) ).
thf(f15902,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_178
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f15901]) ).
thf(f15903,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| spl0_9
| ~ spl0_48 ),
inference(constrained_superposition,[],[f14231,f2730]) ).
thf(f15920,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| spl0_9
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f15903]) ).
thf(f15926,plain,
( ( z
= ( s @ z ) )
| spl0_9
| ~ spl0_48
| ~ spl0_155
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f15920,f15890]) ).
thf(f15927,plain,
( $false
| spl0_9
| ~ spl0_48
| ~ spl0_155
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f15926,f27]) ).
thf(f15928,plain,
( spl0_9
| ~ spl0_48
| ~ spl0_155
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f15927]) ).
thf(f15935,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f3092,f6239]) ).
thf(f15948,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f15935]) ).
thf(f15965,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_82
| ~ spl0_242 ),
inference(constrained_superposition,[],[f3150,f9313]) ).
thf(f15980,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_82
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f15965]) ).
thf(f15990,plain,
( spl0_250
| spl0_251
| ~ spl0_82
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f15980,f9312,f3149,f9496,f9493]) ).
thf(f16001,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_82
| ~ spl0_306 ),
inference(constrained_superposition,[],[f3150,f11806]) ).
thf(f16016,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_82
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f16001]) ).
thf(f16028,plain,
( spl0_309
| spl0_250
| ~ spl0_82
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f16016,f11805,f3149,f9493,f12345]) ).
thf(f16111,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f7233,f35]) ).
thf(f16114,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f7233,f2922]) ).
thf(f16117,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f16111]) ).
thf(f16119,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f16114]) ).
thf(f16230,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_307 ),
inference(constrained_superposition,[],[f11823,f87]) ).
thf(f16232,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f16230]) ).
thf(f16237,plain,
( spl0_249
| ~ spl0_7
| ~ spl0_87
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f16232,f11822,f3166,f111,f9488]) ).
thf(f16240,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_249
| ~ spl0_255 ),
inference(constrained_superposition,[],[f9537,f9489]) ).
thf(f16243,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_249
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f16240]) ).
thf(f16248,plain,
( $false
| ~ spl0_178
| ~ spl0_249
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f16243,f8115]) ).
thf(f16249,plain,
( ~ spl0_178
| ~ spl0_249
| ~ spl0_255 ),
inference(avatar_contradiction_clause,[],[f16248]) ).
thf(f16342,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_309 ),
inference(constrained_superposition,[],[f12346,f2922]) ).
thf(f16355,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f16342]) ).
thf(f16402,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f13303,f35]) ).
thf(f16405,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_242
| ~ spl0_328 ),
inference(constrained_superposition,[],[f13303,f9313]) ).
thf(f16412,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_242
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f16405]) ).
thf(f16416,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328 ),
inference(duplicate_literal_removal,[],[f16402]) ).
thf(f16417,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f16416]) ).
thf(f16459,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_132
| ~ spl0_172 ),
inference(constrained_superposition,[],[f16119,f6232]) ).
thf(f16460,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_172
| ~ spl0_260 ),
inference(constrained_superposition,[],[f16119,f9793]) ).
thf(f16461,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_172
| ~ spl0_267 ),
inference(constrained_superposition,[],[f16119,f9833]) ).
thf(f16462,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_172
| ~ spl0_306 ),
inference(constrained_superposition,[],[f16119,f11806]) ).
thf(f16463,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_172
| ~ spl0_242 ),
inference(constrained_superposition,[],[f16119,f9313]) ).
thf(f16465,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_134
| ~ spl0_172 ),
inference(constrained_superposition,[],[f16119,f6239]) ).
thf(f16469,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_172
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f16462]) ).
thf(f16470,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_172
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f16463]) ).
thf(f16473,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_172
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f16461]) ).
thf(f16475,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_134
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f16465]) ).
thf(f16476,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_172
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f16460]) ).
thf(f16477,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_132
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f16459]) ).
thf(f16487,plain,
( spl0_288
| ~ spl0_153
| ~ spl0_172
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f16476,f9792,f7232,f6618,f10598]) ).
thf(f16493,plain,
( ~ spl0_153
| spl0_146
| ~ spl0_132
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f16477,f7232,f6231,f6589,f6618]) ).
thf(f16494,plain,
( spl0_83
| spl0_128
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f16117,f7232,f6170,f3152]) ).
thf(f16496,definition,
( spl0_352
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_352])],[avatar_definition]) ).
thf(f16497,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_352 ),
inference(avatar_component_clause,[],[f16496]) ).
thf(f16498,plain,
( ~ spl0_352
| spl0_146
| ~ spl0_172
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f16473,f9832,f7232,f6589,f16496]) ).
thf(f16505,definition,
( spl0_353
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_353])],[avatar_definition]) ).
thf(f16506,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_353 ),
inference(avatar_component_clause,[],[f16505]) ).
thf(f16507,plain,
( ~ spl0_353
| spl0_146
| ~ spl0_172
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f16469,f11805,f7232,f6589,f16505]) ).
thf(f16511,definition,
( spl0_354
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_354])],[avatar_definition]) ).
thf(f16512,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_354 ),
inference(avatar_component_clause,[],[f16511]) ).
thf(f16515,plain,
( spl0_150
| spl0_169
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f15948,f6238,f7067,f6603]) ).
thf(f16517,plain,
( spl0_150
| ~ spl0_165
| ~ spl0_134
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f16475,f7232,f6238,f7047,f6603]) ).
thf(f16521,plain,
( spl0_150
| ~ spl0_353
| ~ spl0_172
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f16470,f9312,f7232,f16505,f6603]) ).
thf(f16525,definition,
( spl0_355
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_355])],[avatar_definition]) ).
thf(f16526,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_355 ),
inference(avatar_component_clause,[],[f16525]) ).
thf(f16527,plain,
( spl0_170
| spl0_355
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f16417,f13302,f16525,f7132]) ).
thf(f16530,plain,
( ~ spl0_78
| spl0_250
| ~ spl0_165
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f16355,f12345,f7047,f9493,f3132]) ).
thf(f16533,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_137
| ~ spl0_142
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f15765,f6249]) ).
thf(f16535,plain,
( ~ spl0_78
| ~ spl0_137
| ~ spl0_142
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f16533,f6631,f6575,f6248,f3132]) ).
thf(f16538,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_4
| ~ spl0_178
| ~ spl0_183 ),
inference(constrained_superposition,[],[f15902,f384]) ).
thf(f16539,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_178
| ~ spl0_183 ),
inference(constrained_superposition,[],[f15902,f378]) ).
thf(f16541,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_4
| ~ spl0_178
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f16538]) ).
thf(f16543,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_4
| ~ spl0_178
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f16539]) ).
thf(f16544,plain,
( spl0_54
| ~ spl0_4
| ~ spl0_178
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f16541,f7661,f7446,f76,f2769]) ).
thf(f16546,plain,
( spl0_337
| ~ spl0_4
| ~ spl0_178
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f16543,f7661,f7446,f76,f14196]) ).
thf(f16566,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_100
| ~ spl0_255 ),
inference(constrained_superposition,[],[f9537,f4351]) ).
thf(f16572,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_100
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f16566]) ).
thf(f16579,plain,
( $false
| ~ spl0_100
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f16572,f4351]) ).
thf(f16580,plain,
( ~ spl0_100
| ~ spl0_255 ),
inference(avatar_contradiction_clause,[],[f16579]) ).
thf(f16584,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f29,f5582]) ).
thf(f16586,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f16584]) ).
thf(f16595,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| spl0_155 ),
inference(constrained_superposition,[],[f7357,f238]) ).
thf(f16596,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| spl0_155 ),
inference(trivial_inequality_removal,[],[f16595]) ).
thf(f16638,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_244
| ~ spl0_331 ),
inference(constrained_superposition,[],[f14133,f9320]) ).
thf(f16645,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_244
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f16638]) ).
thf(f16646,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_244
| ~ spl0_331 ),
inference(constrained_superposition,[],[f16645,f384]) ).
thf(f16650,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_244
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f16646]) ).
thf(f16653,plain,
( spl0_96
| ~ spl0_4
| ~ spl0_244
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f16650,f14132,f9319,f76,f3471]) ).
thf(f16670,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_250 ),
inference(constrained_superposition,[],[f29,f9494]) ).
thf(f16671,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f16670]) ).
thf(f16732,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_100
| ~ spl0_140 ),
inference(constrained_superposition,[],[f4351,f6301]) ).
thf(f16809,plain,
( spl0_48
| ~ spl0_100
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f16732,f6300,f4350,f2729]) ).
thf(f16813,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_353 ),
inference(constrained_superposition,[],[f16506,f2922]) ).
thf(f16815,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_353 ),
inference(constrained_superposition,[],[f16506,f37]) ).
thf(f16817,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_353 ),
inference(trivial_inequality_removal,[],[f16815]) ).
thf(f16818,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_353 ),
inference(trivial_inequality_removal,[],[f16813]) ).
thf(f16823,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_246
| ~ spl0_293 ),
inference(constrained_superposition,[],[f11093,f9328]) ).
thf(f16826,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_82
| ~ spl0_246 ),
inference(constrained_superposition,[],[f3150,f9328]) ).
thf(f16840,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_246
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f16823]) ).
thf(f16851,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_82
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f16826]) ).
thf(f16857,plain,
( spl0_251
| ~ spl0_246
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f16840,f11092,f9327,f9496]) ).
thf(f16859,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_82
| spl0_150
| ~ spl0_246 ),
inference(forward_subsumption_resolution,[],[f16851,f6690]) ).
thf(f16861,plain,
( spl0_251
| ~ spl0_82
| spl0_150
| ~ spl0_246 ),
inference(avatar_split_clause,[],[f16859,f9327,f6603,f3149,f9496]) ).
thf(f16868,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_352 ),
inference(constrained_superposition,[],[f16497,f2922]) ).
thf(f16873,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_352 ),
inference(trivial_inequality_removal,[],[f16868]) ).
thf(f16937,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_281
| ~ spl0_330 ),
inference(constrained_superposition,[],[f13470,f10568]) ).
thf(f16959,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_281
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f16937]) ).
thf(f16974,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_137
| ~ spl0_354 ),
inference(constrained_superposition,[],[f16512,f6249]) ).
thf(f16980,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_137
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f16974]) ).
thf(f17026,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f16586,f5582]) ).
thf(f17037,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f17026]) ).
thf(f17041,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_251 ),
inference(constrained_superposition,[],[f9497,f86]) ).
thf(f17049,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f17041]) ).
thf(f17107,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_250
| ~ spl0_256 ),
inference(constrained_superposition,[],[f16671,f9554]) ).
thf(f17114,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_250
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f17107]) ).
thf(f17155,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_4
| spl0_155 ),
inference(forward_subsumption_resolution,[],[f16596,f27]) ).
thf(f17159,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_251
| spl0_254 ),
inference(forward_subsumption_resolution,[],[f17049,f9881]) ).
thf(f17160,plain,
( ~ spl0_157
| spl0_170
| ~ spl0_247
| ~ spl0_2
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f15185,f6231,f53,f9406,f7132,f6634]) ).
thf(f17164,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_134
| ~ spl0_281
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f16959,f6239]) ).
thf(f17166,definition,
( spl0_356
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_356])],[avatar_definition]) ).
thf(f17167,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_356 ),
inference(avatar_component_clause,[],[f17166]) ).
thf(f17182,plain,
( ~ spl0_144
| ~ spl0_174
| ~ spl0_137
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f16980,f16511,f6248,f7249,f6582]) ).
thf(f17184,plain,
( spl0_181
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f17037,f5581,f7654]) ).
thf(f17188,plain,
( spl0_356
| ~ spl0_250
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f17114,f9553,f9493,f17166]) ).
thf(f17190,plain,
( spl0_11
| spl0_168
| ~ spl0_4
| spl0_155 ),
inference(avatar_split_clause,[],[f17155,f6625,f76,f7063,f125]) ).
thf(f17193,plain,
( ~ spl0_144
| ~ spl0_7
| ~ spl0_251
| spl0_254 ),
inference(avatar_split_clause,[],[f17159,f9518,f9496,f111,f6582]) ).
thf(f17194,plain,
( ~ spl0_157
| ~ spl0_134
| ~ spl0_281
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f17164,f13469,f10567,f6238,f6634]) ).
thf(f17228,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_109
| ~ spl0_336 ),
inference(constrained_superposition,[],[f14193,f5582]) ).
thf(f17230,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_109
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f17228]) ).
thf(f17232,plain,
( $false
| ~ spl0_109
| ~ spl0_161
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f17230,f6721]) ).
thf(f17233,plain,
( ~ spl0_109
| ~ spl0_161
| ~ spl0_336 ),
inference(avatar_contradiction_clause,[],[f17232]) ).
thf(f17240,definition,
( spl0_360
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_360])],[avatar_definition]) ).
thf(f17241,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_360 ),
inference(avatar_component_clause,[],[f17240]) ).
thf(f17246,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_4
| spl0_138
| spl0_168 ),
inference(forward_subsumption_resolution,[],[f9304,f7295]) ).
thf(f17247,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_159
| spl0_353 ),
inference(forward_subsumption_resolution,[],[f16817,f9765]) ).
thf(f17248,plain,
( spl0_250
| spl0_353 ),
inference(avatar_split_clause,[],[f16818,f16505,f9493]) ).
thf(f17250,plain,
( spl0_288
| spl0_352 ),
inference(avatar_split_clause,[],[f16873,f16496,f10598]) ).
thf(f17251,plain,
( spl0_330
| ~ spl0_242
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f16412,f13302,f9312,f13469]) ).
thf(f17253,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| spl0_138
| spl0_168 ),
inference(forward_subsumption_resolution,[],[f9303,f7295]) ).
thf(f17254,plain,
( spl0_146
| spl0_75
| ~ spl0_4
| spl0_138
| spl0_168 ),
inference(avatar_split_clause,[],[f17246,f7063,f6291,f76,f3122,f6589]) ).
thf(f17255,plain,
( spl0_250
| spl0_159
| spl0_353 ),
inference(avatar_split_clause,[],[f17247,f16505,f6644,f9493]) ).
thf(f17256,plain,
( spl0_244
| spl0_75
| ~ spl0_4
| spl0_138
| spl0_168 ),
inference(avatar_split_clause,[],[f17253,f7063,f6291,f76,f3122,f9319]) ).
thf(f17262,definition,
( spl0_362
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_362])],[avatar_definition]) ).
thf(f17263,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_362 ),
inference(avatar_component_clause,[],[f17262]) ).
thf(f17265,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_9
| ~ spl0_343 ),
inference(constrained_superposition,[],[f14224,f119]) ).
thf(f17268,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_9
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f17265]) ).
thf(f17269,plain,
( spl0_336
| ~ spl0_9
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f17268,f14223,f118,f14192]) ).
thf(f17282,plain,
( ( $true != $true )
| ~ spl0_23
| spl0_178 ),
inference(constrained_superposition,[],[f7447,f353]) ).
thf(f17289,plain,
( $false
| ~ spl0_23
| spl0_178 ),
inference(trivial_inequality_removal,[],[f17282]) ).
thf(f17290,plain,
( ~ spl0_23
| spl0_178 ),
inference(avatar_contradiction_clause,[],[f17289]) ).
thf(f17309,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_69
| ~ spl0_336 ),
inference(constrained_superposition,[],[f14193,f3100]) ).
thf(f17311,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_69
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f17309]) ).
thf(f17335,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_248
| ~ spl0_343 ),
inference(constrained_superposition,[],[f14224,f9482]) ).
thf(f17339,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_248
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f17335]) ).
thf(f17341,plain,
( spl0_356
| ~ spl0_248
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f17339,f14223,f9481,f17166]) ).
thf(f17343,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_126
| ~ spl0_156 ),
inference(constrained_superposition,[],[f6160,f9321]) ).
thf(f17358,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_126
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f17343]) ).
thf(f17368,definition,
( spl0_363
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_363])],[avatar_definition]) ).
thf(f17369,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_363 ),
inference(avatar_component_clause,[],[f17368]) ).
thf(f17370,plain,
( spl0_363
| ~ spl0_157
| ~ spl0_126
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f17358,f6631,f6159,f6634,f17368]) ).
thf(f17380,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f16526,f87]) ).
thf(f17381,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f17380]) ).
thf(f17432,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| spl0_161 ),
inference(constrained_superposition,[],[f6719,f74]) ).
thf(f17434,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_69
| ~ spl0_336 ),
inference(constrained_superposition,[],[f17311,f74]) ).
thf(f17436,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_177 ),
inference(constrained_superposition,[],[f7436,f74]) ).
thf(f17441,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f17436]) ).
thf(f17442,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| spl0_161 ),
inference(trivial_inequality_removal,[],[f17432]) ).
thf(f17443,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_69
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f17434]) ).
thf(f17447,plain,
( $false
| ~ spl0_3
| ~ spl0_69
| spl0_83
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f17443,f3478]) ).
thf(f17448,plain,
( ~ spl0_3
| ~ spl0_69
| spl0_83
| ~ spl0_336 ),
inference(avatar_contradiction_clause,[],[f17447]) ).
thf(f17451,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_177
| ~ spl0_343 ),
inference(forward_subsumption_resolution,[],[f17441,f14224]) ).
thf(f17456,plain,
( spl0_178
| ~ spl0_7
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f17381,f16525,f111,f7446]) ).
thf(f17457,plain,
( spl0_170
| ~ spl0_3
| spl0_161 ),
inference(avatar_split_clause,[],[f17442,f6718,f73,f7132]) ).
thf(f17460,plain,
( spl0_336
| ~ spl0_3
| ~ spl0_177
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f17451,f14223,f7435,f73,f14192]) ).
thf(f17473,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_13
| ~ spl0_343 ),
inference(constrained_superposition,[],[f14224,f185]) ).
thf(f17477,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_13
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f17473]) ).
thf(f17505,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_3
| spl0_168 ),
inference(constrained_superposition,[],[f7295,f74]) ).
thf(f17506,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_3
| spl0_168 ),
inference(trivial_inequality_removal,[],[f17505]) ).
thf(f17543,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_155
| ~ spl0_331 ),
inference(constrained_superposition,[],[f14133,f6626]) ).
thf(f17546,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_155
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f17543]) ).
thf(f17548,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_155
| ~ spl0_331 ),
inference(constrained_superposition,[],[f17546,f74]) ).
thf(f17549,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_3
| ~ spl0_155
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f17548]) ).
thf(f17550,plain,
( $false
| ~ spl0_3
| spl0_9
| ~ spl0_155
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f17549,f14231]) ).
thf(f17551,plain,
( ~ spl0_3
| spl0_9
| ~ spl0_155
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f17550]) ).
thf(f17558,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_85
| ~ spl0_94 ),
inference(constrained_superposition,[],[f3463,f3160]) ).
thf(f17564,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_85
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f17558]) ).
thf(f17566,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_85
| ~ spl0_94 ),
inference(constrained_superposition,[],[f17564,f74]) ).
thf(f17567,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_3
| ~ spl0_85
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f17566]) ).
thf(f17568,plain,
( $false
| ~ spl0_3
| spl0_9
| ~ spl0_85
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f17567,f14231]) ).
thf(f17569,plain,
( ~ spl0_3
| spl0_9
| ~ spl0_85
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f17568]) ).
thf(f17580,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_178
| ~ spl0_343 ),
inference(constrained_superposition,[],[f17477,f8115]) ).
thf(f17585,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_13
| ~ spl0_178
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f17580]) ).
thf(f17598,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_13
| ~ spl0_178
| ~ spl0_343 ),
inference(constrained_superposition,[],[f17585,f74]) ).
thf(f17599,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_3
| ~ spl0_13
| ~ spl0_178
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f17598]) ).
thf(f17600,plain,
( $false
| ~ spl0_3
| spl0_9
| ~ spl0_13
| ~ spl0_178
| ~ spl0_343 ),
inference(forward_subsumption_resolution,[],[f17599,f14231]) ).
thf(f17601,plain,
( ~ spl0_3
| spl0_9
| ~ spl0_13
| ~ spl0_178
| ~ spl0_343 ),
inference(avatar_contradiction_clause,[],[f17600]) ).
thf(f17909,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_242
| ~ spl0_347 ),
inference(constrained_superposition,[],[f14295,f9313]) ).
thf(f17921,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_242
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f17909]) ).
thf(f17928,plain,
( $false
| ~ spl0_242
| ~ spl0_258
| ~ spl0_347 ),
inference(forward_subsumption_resolution,[],[f17921,f9784]) ).
thf(f17929,plain,
( ~ spl0_242
| ~ spl0_258
| ~ spl0_347 ),
inference(avatar_contradiction_clause,[],[f17928]) ).
thf(f17942,plain,
( spl0_180
| ~ spl0_3
| spl0_168 ),
inference(avatar_split_clause,[],[f17506,f7063,f73,f7461]) ).
thf(f17951,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_170
| ~ spl0_327 ),
inference(constrained_superposition,[],[f13252,f7133]) ).
thf(f17953,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_170
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f17951]) ).
thf(f17956,plain,
( $false
| ~ spl0_83
| ~ spl0_170
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f17953,f3153]) ).
thf(f17957,plain,
( ~ spl0_83
| ~ spl0_170
| ~ spl0_327 ),
inference(avatar_contradiction_clause,[],[f17956]) ).
thf(f18056,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_183
| ~ spl0_243 ),
inference(constrained_superposition,[],[f7662,f9316]) ).
thf(f18060,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_183
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f18056]) ).
thf(f18061,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_183
| ~ spl0_243 ),
inference(constrained_superposition,[],[f18060,f74]) ).
thf(f18062,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_183
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f18061]) ).
thf(f18063,plain,
( spl0_248
| ~ spl0_3
| ~ spl0_183
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f18062,f9315,f7661,f73,f9481]) ).
thf(f18121,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_71
| spl0_98 ),
inference(forward_subsumption_resolution,[],[f3641,f6053]) ).
thf(f18125,plain,
( spl0_69
| spl0_71
| spl0_98 ),
inference(avatar_split_clause,[],[f18121,f3631,f3106,f3099]) ).
thf(f18130,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_85
| ~ spl0_177 ),
inference(constrained_superposition,[],[f7436,f3160]) ).
thf(f18132,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_85
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f18130]) ).
thf(f18174,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_62 ),
inference(constrained_superposition,[],[f2828,f32]) ).
thf(f18175,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f18174]) ).
thf(f18235,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_85
| ~ spl0_177
| ~ spl0_288 ),
inference(constrained_superposition,[],[f18132,f10599]) ).
thf(f18236,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_85
| ~ spl0_146
| ~ spl0_177 ),
inference(constrained_superposition,[],[f18132,f6590]) ).
thf(f18238,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_85
| ~ spl0_146
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f18236]) ).
thf(f18240,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_85
| ~ spl0_177
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f18235]) ).
thf(f18241,plain,
( $false
| ~ spl0_85
| ~ spl0_143
| ~ spl0_146
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[],[f18238,f6579]) ).
thf(f18242,plain,
( ~ spl0_85
| ~ spl0_143
| ~ spl0_146
| ~ spl0_177 ),
inference(avatar_contradiction_clause,[],[f18241]) ).
thf(f18243,plain,
( ~ spl0_277
| ~ spl0_85
| ~ spl0_177
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f18240,f10598,f7435,f3159,f10544]) ).
thf(f18269,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f29,f6246]) ).
thf(f18272,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f18269]) ).
thf(f18312,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_62 ),
inference(constrained_superposition,[],[f18175,f32]) ).
thf(f18314,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f18312]) ).
thf(f18316,plain,
( spl0_337
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f18314,f2827,f14196]) ).
thf(f18601,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_362 ),
inference(constrained_superposition,[],[f17263,f2922]) ).
thf(f18611,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_362 ),
inference(trivial_inequality_removal,[],[f18601]) ).
thf(f18616,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_150
| ~ spl0_362 ),
inference(forward_subsumption_resolution,[],[f18611,f6690]) ).
thf(f18617,plain,
( ~ spl0_77
| ~ spl0_98
| spl0_150
| ~ spl0_362 ),
inference(avatar_split_clause,[],[f18616,f17262,f6603,f3631,f3129]) ).
thf(f18618,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f18272,f6246]) ).
thf(f18619,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_136
| ~ spl0_244 ),
inference(constrained_superposition,[],[f18272,f9320]) ).
thf(f18621,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f18618]) ).
thf(f18622,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_136
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f18619]) ).
thf(f18624,plain,
( spl0_327
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f18621,f6245,f13251]) ).
thf(f18653,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_178
| ~ spl0_327 ),
inference(constrained_superposition,[],[f13252,f8115]) ).
thf(f18655,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_178
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f18653]) ).
thf(f18656,plain,
( $false
| ~ spl0_85
| ~ spl0_178
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f18655,f3160]) ).
thf(f18657,plain,
( ~ spl0_85
| ~ spl0_178
| ~ spl0_327 ),
inference(avatar_contradiction_clause,[],[f18656]) ).
thf(f18672,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_136
| ~ spl0_155
| ~ spl0_244 ),
inference(constrained_superposition,[],[f18622,f6626]) ).
thf(f18675,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_136
| ~ spl0_155
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f18672]) ).
thf(f18677,plain,
( $false
| ~ spl0_85
| ~ spl0_136
| ~ spl0_155
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f18675,f3160]) ).
thf(f18678,plain,
( ~ spl0_85
| ~ spl0_136
| ~ spl0_155
| ~ spl0_244 ),
inference(avatar_contradiction_clause,[],[f18677]) ).
thf(f18778,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_244 ),
inference(constrained_superposition,[],[f29,f9320]) ).
thf(f18780,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f18778]) ).
thf(f18819,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_258
| ~ spl0_354 ),
inference(constrained_superposition,[],[f16512,f9784]) ).
thf(f18832,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_258
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f18819]) ).
thf(f18839,plain,
( ~ spl0_300
| ~ spl0_271
| ~ spl0_258
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f18832,f16511,f9783,f10209,f11302]) ).
thf(f18858,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_245
| ~ spl0_356 ),
inference(constrained_superposition,[],[f17167,f9325]) ).
thf(f18861,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_245
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f18858]) ).
thf(f18862,plain,
( $false
| ~ spl0_161
| ~ spl0_245
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f18861,f6721]) ).
thf(f18863,plain,
( ~ spl0_161
| ~ spl0_245
| ~ spl0_356 ),
inference(avatar_contradiction_clause,[],[f18862]) ).
thf(f18867,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_85
| ~ spl0_337 ),
inference(constrained_superposition,[],[f4348,f14197]) ).
thf(f18868,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_85
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f18867]) ).
thf(f18869,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_85
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f18868,f27]) ).
thf(f18870,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_71
| spl0_85
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f18869,f6053]) ).
thf(f18871,plain,
( spl0_75
| spl0_71
| spl0_85
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f18870,f14196,f3159,f3106,f3122]) ).
thf(f18976,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_259 ),
inference(constrained_superposition,[],[f29,f9787]) ).
thf(f18978,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f18976]) ).
thf(f19026,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_135
| ~ spl0_327 ),
inference(constrained_superposition,[],[f13252,f6242]) ).
thf(f19027,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_243
| ~ spl0_327 ),
inference(constrained_superposition,[],[f13252,f9316]) ).
thf(f19031,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_135
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f19026]) ).
thf(f19032,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_243
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f19027]) ).
thf(f19034,plain,
( $false
| ~ spl0_135
| ~ spl0_146
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f19031,f6590]) ).
thf(f19035,plain,
( ~ spl0_135
| ~ spl0_146
| ~ spl0_327 ),
inference(avatar_contradiction_clause,[],[f19034]) ).
thf(f19036,plain,
( $false
| ~ spl0_243
| ~ spl0_250
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f19032,f9494]) ).
thf(f19037,plain,
( ~ spl0_243
| ~ spl0_250
| ~ spl0_327 ),
inference(avatar_contradiction_clause,[],[f19036]) ).
thf(f19060,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f3092,f6249]) ).
thf(f19061,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f274,f6249]) ).
thf(f19067,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_137 ),
inference(duplicate_literal_removal,[],[f19060]) ).
thf(f19068,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f19067]) ).
thf(f19072,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f19061]) ).
thf(f19102,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_137
| ~ spl0_355 ),
inference(constrained_superposition,[],[f16526,f6249]) ).
thf(f19106,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_137
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f19102]) ).
thf(f19110,plain,
( ~ spl0_78
| ~ spl0_137
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f19106,f16525,f6248,f3132]) ).
thf(f19111,plain,
( spl0_124
| spl0_178
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f19072,f6248,f7446,f6147]) ).
thf(f19261,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_244 ),
inference(constrained_superposition,[],[f18780,f9320]) ).
thf(f19268,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f19261]) ).
thf(f19269,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_244
| ~ spl0_305 ),
inference(constrained_superposition,[],[f19268,f11803]) ).
thf(f19272,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_180
| ~ spl0_244 ),
inference(constrained_superposition,[],[f19268,f7462]) ).
thf(f19273,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_244
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f19269]) ).
thf(f19274,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_180
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f19272]) ).
thf(f19277,plain,
( $false
| ~ spl0_244
| ~ spl0_250
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f19273,f9494]) ).
thf(f19278,plain,
( ~ spl0_244
| ~ spl0_250
| ~ spl0_305 ),
inference(avatar_contradiction_clause,[],[f19277]) ).
thf(f19279,plain,
( $false
| ~ spl0_83
| ~ spl0_180
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f19274,f3153]) ).
thf(f19280,plain,
( ~ spl0_83
| ~ spl0_180
| ~ spl0_244 ),
inference(avatar_contradiction_clause,[],[f19279]) ).
thf(f19303,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_259 ),
inference(constrained_superposition,[],[f18978,f9787]) ).
thf(f19308,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f19303]) ).
thf(f19309,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_259
| ~ spl0_304 ),
inference(constrained_superposition,[],[f19308,f11799]) ).
thf(f19311,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_248
| ~ spl0_259 ),
inference(constrained_superposition,[],[f19308,f9482]) ).
thf(f19312,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_259
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f19309]) ).
thf(f19314,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_248
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f19311]) ).
thf(f19315,plain,
( $false
| ~ spl0_146
| ~ spl0_259
| ~ spl0_304 ),
inference(forward_subsumption_resolution,[],[f19312,f6590]) ).
thf(f19316,plain,
( ~ spl0_146
| ~ spl0_259
| ~ spl0_304 ),
inference(avatar_contradiction_clause,[],[f19315]) ).
thf(f19317,plain,
( $false
| ~ spl0_83
| ~ spl0_248
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f19314,f3153]) ).
thf(f19318,plain,
( ~ spl0_83
| ~ spl0_248
| ~ spl0_259 ),
inference(avatar_contradiction_clause,[],[f19317]) ).
thf(f19362,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_360 ),
inference(constrained_superposition,[],[f17241,f2922]) ).
thf(f19370,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f19362]) ).
thf(f19379,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_150
| ~ spl0_360 ),
inference(forward_subsumption_resolution,[],[f19370,f6690]) ).
thf(f19380,plain,
( ~ spl0_98
| ~ spl0_87
| spl0_150
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f19379,f17240,f6603,f3166,f3631]) ).
thf(f19396,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_249
| ~ spl0_356 ),
inference(constrained_superposition,[],[f17167,f9489]) ).
thf(f19400,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_249
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f19396]) ).
thf(f19401,plain,
( $false
| ~ spl0_11
| ~ spl0_249
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f19400,f126]) ).
thf(f19402,plain,
( ~ spl0_11
| ~ spl0_249
| ~ spl0_356 ),
inference(avatar_contradiction_clause,[],[f19401]) ).
thf(f19495,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_363 ),
inference(constrained_superposition,[],[f17369,f87]) ).
thf(f19501,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_363 ),
inference(trivial_inequality_removal,[],[f19495]) ).
thf(f19502,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_155
| ~ spl0_363 ),
inference(forward_subsumption_resolution,[],[f19501,f7357]) ).
thf(f19503,plain,
( ~ spl0_98
| spl0_155
| ~ spl0_363 ),
inference(avatar_split_clause,[],[f19502,f17368,f6625,f3631]) ).
thf(f19564,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_183
| ~ spl0_243 ),
inference(constrained_superposition,[],[f7662,f9316]) ).
thf(f19566,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_183
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f19564]) ).
thf(f19593,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_54
| spl0_254 ),
inference(constrained_superposition,[],[f9881,f2770]) ).
thf(f19600,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54
| spl0_254 ),
inference(trivial_inequality_removal,[],[f19593]) ).
thf(f19603,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_183
| ~ spl0_243
| spl0_254 ),
inference(forward_subsumption_resolution,[],[f19600,f19566]) ).
thf(f19605,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_183
| ~ spl0_243
| spl0_254 ),
inference(forward_subsumption_resolution,[],[f19603,f27]) ).
thf(f19607,plain,
( spl0_253
| ~ spl0_54
| ~ spl0_183
| ~ spl0_243
| spl0_254 ),
inference(avatar_split_clause,[],[f19605,f9518,f9315,f7661,f2769,f9515]) ).
thf(f19731,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_133 ),
inference(constrained_superposition,[],[f29,f6235]) ).
thf(f19732,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f19731]) ).
thf(f19746,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f14295,f87]) ).
thf(f19747,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f19746]) ).
thf(f19755,plain,
( ~ spl0_98
| spl0_178
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f19747,f14294,f7446,f3631]) ).
thf(f19880,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f296,f35]) ).
thf(f19882,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f296,f86]) ).
thf(f19883,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f19882]) ).
thf(f19884,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f19880]) ).
thf(f19885,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f19884]) ).
thf(f19941,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_133
| ~ spl0_261 ),
inference(constrained_superposition,[],[f19732,f9796]) ).
thf(f19942,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_133 ),
inference(constrained_superposition,[],[f19732,f6235]) ).
thf(f19943,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_133
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f19941]) ).
thf(f19945,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f19942]) ).
thf(f19950,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_133
| ~ spl0_261
| ~ spl0_265 ),
inference(constrained_superposition,[],[f19943,f9826]) ).
thf(f19953,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_133
| ~ spl0_261
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f19950]) ).
thf(f19956,plain,
( $false
| ~ spl0_133
| ~ spl0_135
| ~ spl0_261
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f19953,f6242]) ).
thf(f19957,plain,
( ~ spl0_133
| ~ spl0_135
| ~ spl0_261
| ~ spl0_265 ),
inference(avatar_contradiction_clause,[],[f19956]) ).
thf(f19978,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f350,f36]) ).
thf(f19981,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f19978]) ).
thf(f20033,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f6148,f86]) ).
thf(f20035,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f6148,f36]) ).
thf(f20040,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f20033]) ).
thf(f20041,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f20035]) ).
thf(f20046,definition,
( spl0_366
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
thf(f20047,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f20046]) ).
thf(f20048,plain,
( spl0_366
| spl0_69
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f20040,f6147,f3099,f20046]) ).
thf(f20049,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_137
| ~ spl0_366 ),
inference(constrained_superposition,[],[f20047,f6249]) ).
thf(f20050,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_258
| ~ spl0_366 ),
inference(constrained_superposition,[],[f20047,f9784]) ).
thf(f20053,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_366 ),
inference(constrained_superposition,[],[f20047,f36]) ).
thf(f20058,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_258
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f20050]) ).
thf(f20061,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_137
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f20049]) ).
thf(f20063,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f20053]) ).
thf(f20064,plain,
( ~ spl0_273
| ~ spl0_300
| ~ spl0_258
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f20058,f20046,f9783,f11302,f10217]) ).
thf(f20065,plain,
( ~ spl0_144
| ~ spl0_163
| ~ spl0_137
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f20061,f20046,f6248,f6876,f6582]) ).
thf(f20072,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_273 ),
inference(constrained_superposition,[],[f10218,f87]) ).
thf(f20076,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_273 ),
inference(trivial_inequality_removal,[],[f20072]) ).
thf(f20079,plain,
( spl0_249
| spl0_273 ),
inference(avatar_split_clause,[],[f20076,f10217,f9488]) ).
thf(f20083,plain,
( spl0_53
| spl0_9
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f19885,f295,f118,f2765]) ).
thf(f20109,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_133
| ~ spl0_155 ),
inference(constrained_superposition,[],[f19945,f6626]) ).
thf(f20111,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_133
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f20109]) ).
thf(f20114,plain,
( $false
| ~ spl0_133
| ~ spl0_155
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f20111,f8115]) ).
thf(f20115,plain,
( ~ spl0_133
| ~ spl0_155
| ~ spl0_178 ),
inference(avatar_contradiction_clause,[],[f20114]) ).
thf(f20116,plain,
( spl0_172
| spl0_150
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f19068,f6248,f6603,f7232]) ).
thf(f20153,plain,
( spl0_354
| spl0_75
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f20041,f6147,f3122,f16511]) ).
thf(f20199,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f29,f6246]) ).
thf(f20200,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f20199]) ).
thf(f20224,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_156
| ~ spl0_366 ),
inference(constrained_superposition,[],[f20047,f9321]) ).
thf(f20227,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f3092,f9321]) ).
thf(f20228,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f274,f9321]) ).
thf(f20232,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f43,f9321]) ).
thf(f20236,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_156 ),
inference(duplicate_literal_removal,[],[f20227]) ).
thf(f20237,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f20236]) ).
thf(f20241,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f20228]) ).
thf(f20242,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_156
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f20224]) ).
thf(f20244,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f20232]) ).
thf(f20246,plain,
( spl0_146
| spl0_172
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f20237,f6631,f7232,f6589]) ).
thf(f20247,plain,
( ~ spl0_158
| ~ spl0_148
| ~ spl0_156
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f20242,f20046,f6631,f6597,f6638]) ).
thf(f20248,plain,
( spl0_180
| spl0_126
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f20244,f6631,f6159,f7461]) ).
thf(f20249,plain,
( spl0_155
| spl0_124
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f20241,f6631,f6147,f6625]) ).
thf(f20250,plain,
( ( $true != $true )
| ~ spl0_1
| spl0_83 ),
inference(constrained_superposition,[],[f3478,f51]) ).
thf(f20256,plain,
( $false
| ~ spl0_1
| spl0_83 ),
inference(trivial_inequality_removal,[],[f20250]) ).
thf(f20257,plain,
( ~ spl0_1
| spl0_83 ),
inference(avatar_contradiction_clause,[],[f20256]) ).
thf(f20337,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f274,f6232]) ).
thf(f20338,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f103,f6232]) ).
thf(f20339,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f64,f6232]) ).
thf(f20340,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f43,f6232]) ).
thf(f20343,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f20337]) ).
thf(f20345,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f20338]) ).
thf(f20347,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f20340]) ).
thf(f20349,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f20339]) ).
thf(f20379,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_136
| ~ spl0_181 ),
inference(constrained_superposition,[],[f7655,f6246]) ).
thf(f20381,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_136
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f20379]) ).
thf(f20383,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_244
| ~ spl0_331 ),
inference(constrained_superposition,[],[f14133,f9320]) ).
thf(f20385,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_244
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f20383]) ).
thf(f20504,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f35]) ).
thf(f20507,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f20504]) ).
thf(f20508,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_132
| ~ spl0_362 ),
inference(constrained_superposition,[],[f17263,f6232]) ).
thf(f20516,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_132
| ~ spl0_362 ),
inference(trivial_inequality_removal,[],[f20508]) ).
thf(f20522,plain,
( ~ spl0_247
| ~ spl0_148
| ~ spl0_132
| ~ spl0_362 ),
inference(avatar_split_clause,[],[f20516,f17262,f6231,f6597,f9406]) ).
thf(f20529,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_136
| ~ spl0_259 ),
inference(constrained_superposition,[],[f20200,f9787]) ).
thf(f20530,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_136
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f20529]) ).
thf(f20535,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_54
| spl0_109 ),
inference(constrained_superposition,[],[f6293,f2770]) ).
thf(f20539,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_54
| ~ spl0_136
| ~ spl0_181 ),
inference(constrained_superposition,[],[f20381,f2770]) ).
thf(f20544,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_54
| spl0_109 ),
inference(trivial_inequality_removal,[],[f20535]) ).
thf(f20546,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_54
| ~ spl0_136
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f20539]) ).
thf(f20550,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_54
| spl0_109 ),
inference(forward_subsumption_resolution,[],[f20544,f27]) ).
thf(f20551,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_54
| ~ spl0_136
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f20546,f27]) ).
thf(f20553,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_54
| spl0_109
| spl0_161 ),
inference(forward_subsumption_resolution,[],[f20550,f6719]) ).
thf(f20554,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_54
| spl0_71
| ~ spl0_136
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f20551,f6053]) ).
thf(f20556,plain,
( $false
| ~ spl0_54
| spl0_109
| spl0_138
| spl0_161 ),
inference(forward_subsumption_resolution,[],[f20553,f9265]) ).
thf(f20557,plain,
( ~ spl0_54
| spl0_109
| spl0_138
| spl0_161 ),
inference(avatar_contradiction_clause,[],[f20556]) ).
thf(f20558,plain,
( $false
| ~ spl0_54
| spl0_71
| ~ spl0_136
| ~ spl0_181
| ~ spl0_244
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f20554,f20385]) ).
thf(f20559,plain,
( ~ spl0_54
| spl0_71
| ~ spl0_136
| ~ spl0_181
| ~ spl0_244
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f20558]) ).
thf(f20564,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_245
| ~ spl0_259 ),
inference(constrained_superposition,[],[f20530,f9325]) ).
thf(f20569,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_245
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f20564]) ).
thf(f20570,plain,
( $false
| ~ spl0_136
| ~ spl0_150
| ~ spl0_245
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f20569,f6604]) ).
thf(f20571,plain,
( ~ spl0_136
| ~ spl0_150
| ~ spl0_245
| ~ spl0_259 ),
inference(avatar_contradiction_clause,[],[f20570]) ).
thf(f20583,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_246 ),
inference(constrained_superposition,[],[f274,f9328]) ).
thf(f20584,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_246 ),
inference(constrained_superposition,[],[f103,f9328]) ).
thf(f20587,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_246 ),
inference(constrained_superposition,[],[f43,f9328]) ).
thf(f20590,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f20584]) ).
thf(f20592,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f20587]) ).
thf(f20597,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f20583]) ).
thf(f20601,plain,
( spl0_249
| spl0_110
| ~ spl0_246 ),
inference(avatar_split_clause,[],[f20597,f9327,f5584,f9488]) ).
thf(f20616,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f20507,f86]) ).
thf(f20631,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f20616]) ).
thf(f20744,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_20
| ~ spl0_132 ),
inference(constrained_superposition,[],[f19883,f6232]) ).
thf(f20745,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_20
| ~ spl0_246 ),
inference(constrained_superposition,[],[f19883,f9328]) ).
thf(f20747,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_20
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f20744]) ).
thf(f20751,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_20
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f20745]) ).
thf(f20762,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_20
| ~ spl0_132
| spl0_143 ),
inference(forward_subsumption_resolution,[],[f20747,f9349]) ).
thf(f20763,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_20
| ~ spl0_246
| spl0_254 ),
inference(forward_subsumption_resolution,[],[f20751,f9881]) ).
thf(f20764,plain,
( ~ spl0_154
| ~ spl0_144
| ~ spl0_20
| ~ spl0_132
| spl0_143 ),
inference(avatar_split_clause,[],[f20762,f6578,f6231,f295,f6582,f6621]) ).
thf(f20765,plain,
( ~ spl0_154
| ~ spl0_144
| ~ spl0_20
| ~ spl0_246
| spl0_254 ),
inference(avatar_split_clause,[],[f20763,f9518,f9327,f295,f6582,f6621]) ).
thf(f20801,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_99
| ~ spl0_264 ),
inference(constrained_superposition,[],[f3635,f9823]) ).
thf(f20802,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_99
| ~ spl0_134 ),
inference(constrained_superposition,[],[f3635,f6239]) ).
thf(f20803,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_99
| ~ spl0_242 ),
inference(constrained_superposition,[],[f3635,f9313]) ).
thf(f20807,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_99 ),
inference(constrained_superposition,[],[f3635,f86]) ).
thf(f20816,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_99
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f20801]) ).
thf(f20821,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_99
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f20803]) ).
thf(f20823,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f20807]) ).
thf(f20824,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_99
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f20802]) ).
thf(f20829,plain,
( ~ spl0_87
| spl0_88
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f20823,f3634,f3171,f3166]) ).
thf(f20846,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_110
| ~ spl0_132 ),
inference(constrained_superposition,[],[f5585,f6232]) ).
thf(f20849,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f5585,f86]) ).
thf(f20851,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f5585,f36]) ).
thf(f20858,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_110
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f20846]) ).
thf(f20859,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f20851]) ).
thf(f20861,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f20849]) ).
thf(f20862,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_110
| ~ spl0_132
| ~ spl0_281 ),
inference(constrained_superposition,[],[f20858,f10568]) ).
thf(f20863,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_110
| ~ spl0_132
| ~ spl0_264 ),
inference(constrained_superposition,[],[f20858,f9823]) ).
thf(f20868,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_110
| ~ spl0_132 ),
inference(constrained_superposition,[],[f20858,f36]) ).
thf(f20872,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_110
| ~ spl0_132
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f20863]) ).
thf(f20873,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_110
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f20868]) ).
thf(f20874,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_110
| ~ spl0_132
| ~ spl0_281 ),
inference(trivial_inequality_removal,[],[f20862]) ).
thf(f20881,plain,
( ~ spl0_260
| ~ spl0_285
| ~ spl0_110
| ~ spl0_132
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f20872,f9822,f6231,f5584,f10584,f9792]) ).
thf(f20882,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_110
| ~ spl0_132
| ~ spl0_246
| ~ spl0_281 ),
inference(forward_subsumption_resolution,[],[f20874,f9328]) ).
thf(f20883,plain,
( ~ spl0_300
| ~ spl0_110
| ~ spl0_132
| ~ spl0_246
| ~ spl0_281 ),
inference(avatar_split_clause,[],[f20882,f10567,f9327,f6231,f5584,f11302]) ).
thf(f20884,plain,
( spl0_147
| spl0_143
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f20345,f6231,f6578,f6593]) ).
thf(f20885,plain,
( spl0_146
| ~ spl0_153
| ~ spl0_99
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f20824,f6238,f3634,f6618,f6589]) ).
thf(f20891,plain,
( spl0_109
| spl0_360
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f20861,f5584,f17240,f5581]) ).
thf(f20894,plain,
( spl0_168
| spl0_328
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f20349,f6231,f13302,f7063]) ).
thf(f20897,plain,
( spl0_147
| spl0_254
| ~ spl0_246 ),
inference(avatar_split_clause,[],[f20590,f9327,f9518,f6593]) ).
thf(f20899,plain,
( ~ spl0_153
| spl0_250
| ~ spl0_99
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f20821,f9312,f3634,f9493,f6618]) ).
thf(f20936,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_128 ),
inference(constrained_superposition,[],[f6171,f87]) ).
thf(f20937,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_128 ),
inference(trivial_inequality_removal,[],[f20936]) ).
thf(f20967,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_258 ),
inference(constrained_superposition,[],[f3092,f9784]) ).
thf(f20968,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_258 ),
inference(constrained_superposition,[],[f274,f9784]) ).
thf(f20977,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_258 ),
inference(duplicate_literal_removal,[],[f20967]) ).
thf(f20978,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f20977]) ).
thf(f20981,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f20968]) ).
thf(f20984,plain,
( spl0_250
| spl0_172
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f20978,f9783,f7232,f9493]) ).
thf(f21017,plain,
( ~ spl0_352
| spl0_146
| ~ spl0_99
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f20816,f9822,f3634,f6589,f16496]) ).
thf(f21044,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_244
| ~ spl0_331 ),
inference(constrained_superposition,[],[f20385,f74]) ).
thf(f21045,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_136 ),
inference(constrained_superposition,[],[f20200,f74]) ).
thf(f21048,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f21045]) ).
thf(f21049,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_244
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f21044]) ).
thf(f21056,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3
| ~ spl0_136
| ~ spl0_343 ),
inference(forward_subsumption_resolution,[],[f21048,f14224]) ).
thf(f21057,plain,
( $false
| ~ spl0_3
| spl0_83
| ~ spl0_244
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f21049,f3478]) ).
thf(f21058,plain,
( ~ spl0_3
| spl0_83
| ~ spl0_244
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f21057]) ).
thf(f21059,plain,
( spl0_94
| ~ spl0_3
| ~ spl0_136
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f21056,f14223,f6245,f73,f3462]) ).
thf(f21065,plain,
( spl0_85
| ~ spl0_7
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f20937,f6170,f111,f3159]) ).
thf(f21067,plain,
( ~ spl0_154
| spl0_168
| ~ spl0_6
| ~ spl0_110
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f20873,f6231,f5584,f108,f7063,f6621]) ).
thf(f21068,plain,
( ~ spl0_7
| spl0_75
| ~ spl0_6
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f20063,f20046,f108,f3122,f111]) ).
thf(f21069,plain,
( spl0_180
| spl0_293
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f20347,f6231,f11092,f7461]) ).
thf(f21070,plain,
( spl0_161
| spl0_362
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f20859,f5584,f17262,f6718]) ).
thf(f21073,plain,
( ~ spl0_6
| spl0_62
| spl0_11
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f19981,f349,f125,f2827,f108]) ).
thf(f21074,plain,
( spl0_248
| spl0_293
| ~ spl0_246 ),
inference(avatar_split_clause,[],[f20592,f9327,f11092,f9481]) ).
thf(f21075,plain,
( ~ spl0_6
| spl0_5
| ~ spl0_7
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f20631,f53,f111,f105,f108]) ).
thf(f21083,plain,
( spl0_249
| spl0_124
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f20981,f9783,f6147,f9488]) ).
thf(f21084,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_85
| ~ spl0_177 ),
inference(constrained_superposition,[],[f7436,f3160]) ).
thf(f21087,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_85
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f21084]) ).
thf(f21151,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f43,f6249]) ).
thf(f21161,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f21151]) ).
thf(f21198,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_212
| ~ spl0_265 ),
inference(constrained_superposition,[],[f8925,f9826]) ).
thf(f21208,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_212
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f21198]) ).
thf(f21210,plain,
( $false
| ~ spl0_168
| ~ spl0_212
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f21208,f7064]) ).
thf(f21211,plain,
( ~ spl0_168
| ~ spl0_212
| ~ spl0_265 ),
inference(avatar_contradiction_clause,[],[f21210]) ).
thf(f21216,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_85
| ~ spl0_177
| ~ spl0_250 ),
inference(constrained_superposition,[],[f21087,f9494]) ).
thf(f21219,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_85
| ~ spl0_177
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f21216]) ).
thf(f21220,plain,
( $false
| ~ spl0_85
| ~ spl0_177
| ~ spl0_250
| ~ spl0_254 ),
inference(forward_subsumption_resolution,[],[f21219,f9519]) ).
thf(f21221,plain,
( ~ spl0_85
| ~ spl0_177
| ~ spl0_250
| ~ spl0_254 ),
inference(avatar_contradiction_clause,[],[f21220]) ).
thf(f21222,plain,
( spl0_110
| spl0_155
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f20343,f6231,f6625,f5584]) ).
thf(f21223,plain,
( spl0_170
| spl0_126
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f21161,f6248,f6159,f7132]) ).
thf(f21224,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f29,f3123]) ).
thf(f21225,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f21224]) ).
thf(f21462,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f21225,f3123]) ).
thf(f21463,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f21462]) ).
thf(f21464,plain,
( spl0_94
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f21463,f3122,f3462]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f78]) ).
cnf(s4,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f120]) ).
cnf(s5,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f127]) ).
cnf(s6,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f132]) ).
cnf(s8,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f138]) ).
cnf(s11,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f186]) ).
cnf(s16,plain,
( spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f293]) ).
cnf(s17,plain,
( spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f297]) ).
cnf(s19,plain,
( spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f354]) ).
cnf(s107,plain,
( spl0_69
| spl0_74 ),
inference(sat_conversion,[],[f3120]) ).
cnf(s110,plain,
( spl0_75
| spl0_80 ),
inference(sat_conversion,[],[f3142]) ).
cnf(s112,plain,
( spl0_82
| spl0_83 ),
inference(sat_conversion,[],[f3154]) ).
cnf(s113,plain,
( spl0_84
| spl0_85 ),
inference(sat_conversion,[],[f3161]) ).
cnf(s135,plain,
( ~ spl0_14
| spl0_92 ),
inference(sat_conversion,[],[f3305]) ).
cnf(s139,plain,
( spl0_71
| spl0_85
| spl0_87 ),
inference(sat_conversion,[],[f3358]) ).
cnf(s141,plain,
( spl0_75
| spl0_78 ),
inference(sat_conversion,[],[f3360]) ).
cnf(s151,plain,
( ~ spl0_84
| ~ spl0_98
| spl0_99 ),
inference(sat_conversion,[],[f3636]) ).
cnf(s155,plain,
( ~ spl0_11
| ~ spl0_19
| spl0_83
| ~ spl0_94 ),
inference(sat_conversion,[],[f3738]) ).
cnf(s156,plain,
( ~ spl0_9
| ~ spl0_69
| ~ spl0_83 ),
inference(sat_conversion,[],[f3750]) ).
cnf(s161,plain,
( ~ spl0_5
| ~ spl0_79
| spl0_83
| spl0_100 ),
inference(sat_conversion,[],[f4365]) ).
cnf(s163,plain,
( ~ spl0_19
| spl0_83
| spl0_85 ),
inference(sat_conversion,[],[f4378]) ).
cnf(s191,plain,
~ spl0_71,
inference(sat_conversion,[],[f5609]) ).
cnf(s231,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_69
| spl0_95 ),
inference(sat_conversion,[],[f6199]) ).
cnf(s264,plain,
~ spl0_138,
inference(sat_conversion,[],[f6525]) ).
cnf(s268,plain,
( ~ spl0_10
| ~ spl0_132
| spl0_142
| spl0_143 ),
inference(sat_conversion,[],[f6580]) ).
cnf(s270,plain,
( ~ spl0_74
| ~ spl0_132
| spl0_145
| spl0_146 ),
inference(sat_conversion,[],[f6591]) ).
cnf(s278,plain,
( ~ spl0_82
| ~ spl0_132
| spl0_150
| ~ spl0_156
| ~ spl0_157 ),
inference(sat_conversion,[],[f6636]) ).
cnf(s279,plain,
( ~ spl0_8
| spl0_109
| ~ spl0_132
| ~ spl0_157
| ~ spl0_158 ),
inference(sat_conversion,[],[f6640]) ).
cnf(s280,plain,
( ~ spl0_8
| spl0_109
| ~ spl0_132
| spl0_152 ),
inference(sat_conversion,[],[f6642]) ).
cnf(s283,plain,
( ~ spl0_88
| ~ spl0_92
| ~ spl0_133
| spl0_143
| ~ spl0_150 ),
inference(sat_conversion,[],[f6691]) ).
cnf(s298,plain,
( ~ spl0_8
| ~ spl0_134
| spl0_143
| spl0_152 ),
inference(sat_conversion,[],[f6867]) ).
cnf(s299,plain,
( ~ spl0_82
| ~ spl0_134
| spl0_146
| spl0_152 ),
inference(sat_conversion,[],[f6870]) ).
cnf(s300,plain,
( ~ spl0_8
| ~ spl0_134
| spl0_143
| ~ spl0_154
| ~ spl0_163 ),
inference(sat_conversion,[],[f6878]) ).
cnf(s321,plain,
~ spl0_159,
inference(sat_conversion,[],[f7034]) ).
cnf(s323,plain,
( ~ spl0_69
| ~ spl0_109
| ~ spl0_150 ),
inference(sat_conversion,[],[f7037]) ).
cnf(s324,plain,
( ~ spl0_10
| spl0_109
| ~ spl0_134
| spl0_142 ),
inference(sat_conversion,[],[f7038]) ).
cnf(s327,plain,
( ~ spl0_5
| spl0_83
| ~ spl0_109
| ~ spl0_150 ),
inference(sat_conversion,[],[f7045]) ).
cnf(s331,plain,
( ~ spl0_74
| ~ spl0_134
| spl0_145
| spl0_150 ),
inference(sat_conversion,[],[f7055]) ).
cnf(s336,plain,
( ~ spl0_4
| ~ spl0_134
| spl0_161
| spl0_168 ),
inference(sat_conversion,[],[f7070]) ).
cnf(s338,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| spl0_71
| ~ spl0_109 ),
inference(sat_conversion,[],[f7103]) ).
cnf(s339,plain,
( ~ spl0_9
| ~ spl0_109
| ~ spl0_161 ),
inference(sat_conversion,[],[f7105]) ).
cnf(s341,plain,
( ~ spl0_4
| spl0_71
| ~ spl0_78
| spl0_136
| spl0_161 ),
inference(sat_conversion,[],[f7109]) ).
cnf(s346,plain,
( spl0_109
| spl0_144 ),
inference(sat_conversion,[],[f7156]) ).
cnf(s347,plain,
( spl0_109
| spl0_144 ),
inference(sat_conversion,[],[f7159]) ).
cnf(s348,plain,
( spl0_109
| spl0_138
| spl0_144 ),
inference(sat_conversion,[],[f7160]) ).
cnf(s349,plain,
( spl0_157
| spl0_168 ),
inference(sat_conversion,[],[f7165]) ).
cnf(s362,plain,
( spl0_143
| spl0_148
| spl0_159 ),
inference(sat_conversion,[],[f7269]) ).
cnf(s365,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_155
| ~ spl0_168
| spl0_175 ),
inference(sat_conversion,[],[f7296]) ).
cnf(s375,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_11
| ~ spl0_69
| spl0_176 ),
inference(sat_conversion,[],[f7430]) ).
cnf(s379,plain,
( ~ spl0_4
| ~ spl0_85
| spl0_140
| ~ spl0_150
| ~ spl0_178 ),
inference(sat_conversion,[],[f7448]) ).
cnf(s384,plain,
( ~ spl0_11
| spl0_177 ),
inference(sat_conversion,[],[f7468]) ).
cnf(s398,plain,
( ~ spl0_7
| ~ spl0_142
| spl0_155
| ~ spl0_163 ),
inference(sat_conversion,[],[f7707]) ).
cnf(s399,plain,
( ~ spl0_9
| ~ spl0_11
| ~ spl0_155
| ~ spl0_180 ),
inference(sat_conversion,[],[f7719]) ).
cnf(s402,plain,
( ~ spl0_9
| ~ spl0_143
| ~ spl0_168 ),
inference(sat_conversion,[],[f7751]) ).
cnf(s403,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| spl0_138
| ~ spl0_143 ),
inference(sat_conversion,[],[f7752]) ).
cnf(s404,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_143
| spl0_175
| ~ spl0_180 ),
inference(sat_conversion,[],[f7754]) ).
cnf(s406,plain,
( spl0_35
| ~ spl0_168
| ~ spl0_175 ),
inference(sat_conversion,[],[f7987]) ).
cnf(s407,plain,
( spl0_48
| ~ spl0_175
| ~ spl0_180 ),
inference(sat_conversion,[],[f7992]) ).
cnf(s408,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| spl0_138
| ~ spl0_175
| spl0_186 ),
inference(sat_conversion,[],[f7998]) ).
cnf(s409,plain,
( ~ spl0_69
| ~ spl0_186 ),
inference(sat_conversion,[],[f8006]) ).
cnf(s411,plain,
( ~ spl0_35
| spl0_161 ),
inference(sat_conversion,[],[f8031]) ).
cnf(s415,plain,
( ~ spl0_48
| ~ spl0_133
| spl0_161
| ~ spl0_180 ),
inference(sat_conversion,[],[f8067]) ).
cnf(s417,plain,
( ~ spl0_17
| spl0_161
| spl0_178 ),
inference(sat_conversion,[],[f8107]) ).
cnf(s419,plain,
( ~ spl0_147
| spl0_178
| spl0_187 ),
inference(sat_conversion,[],[f8116]) ).
cnf(s421,plain,
( ~ spl0_177
| ~ spl0_178
| spl0_181 ),
inference(sat_conversion,[],[f8136]) ).
cnf(s523,plain,
( ~ spl0_133
| ~ spl0_136
| ~ spl0_244 ),
inference(sat_conversion,[],[f9348]) ).
cnf(s529,plain,
( ~ spl0_18
| spl0_85
| ~ spl0_156
| ~ spl0_157
| ~ spl0_158 ),
inference(sat_conversion,[],[f9411]) ).
cnf(s533,plain,
( spl0_155
| spl0_158
| spl0_159 ),
inference(sat_conversion,[],[f9429]) ).
cnf(s552,plain,
( spl0_159
| spl0_258
| spl0_259 ),
inference(sat_conversion,[],[f9788]) ).
cnf(s554,plain,
( spl0_159
| spl0_260
| spl0_261 ),
inference(sat_conversion,[],[f9797]) ).
cnf(s555,plain,
( spl0_159
| spl0_262
| spl0_263 ),
inference(sat_conversion,[],[f9805]) ).
cnf(s574,plain,
~ spl0_257,
inference(sat_conversion,[],[f10008]) ).
cnf(s599,plain,
~ spl0_253,
inference(sat_conversion,[],[f10152]) ).
cnf(s627,plain,
~ spl0_275,
inference(sat_conversion,[],[f10428]) ).
cnf(s630,plain,
( ~ spl0_87
| spl0_155
| ~ spl0_156
| ~ spl0_169 ),
inference(sat_conversion,[],[f10483]) ).
cnf(s692,plain,
~ spl0_160,
inference(sat_conversion,[],[f10938]) ).
cnf(s700,plain,
( spl0_160
| spl0_264
| spl0_265 ),
inference(sat_conversion,[],[f10960]) ).
cnf(s701,plain,
( spl0_160
| spl0_266
| spl0_267 ),
inference(sat_conversion,[],[f10961]) ).
cnf(s712,plain,
( spl0_275
| spl0_277
| spl0_285 ),
inference(sat_conversion,[],[f11028]) ).
cnf(s732,plain,
( ~ spl0_187
| ~ spl0_263
| ~ spl0_285 ),
inference(sat_conversion,[],[f11213]) ).
cnf(s746,plain,
( spl0_154
| spl0_161 ),
inference(sat_conversion,[],[f11344]) ).
cnf(s747,plain,
( spl0_163
| spl0_178 ),
inference(sat_conversion,[],[f11351]) ).
cnf(s751,plain,
( ~ spl0_69
| ~ spl0_136
| ~ spl0_181 ),
inference(sat_conversion,[],[f11389]) ).
cnf(s763,plain,
( ~ spl0_133
| ~ spl0_262
| ~ spl0_266 ),
inference(sat_conversion,[],[f11525]) ).
cnf(s796,plain,
~ spl0_139,
inference(sat_conversion,[],[f11777]) ).
cnf(s804,plain,
( spl0_139
| spl0_281
| spl0_304 ),
inference(sat_conversion,[],[f11800]) ).
cnf(s805,plain,
( spl0_139
| spl0_305
| spl0_306 ),
inference(sat_conversion,[],[f11807]) ).
cnf(s806,plain,
( spl0_254
| spl0_300 ),
inference(sat_conversion,[],[f11815]) ).
cnf(s809,plain,
( ~ spl0_10
| spl0_254
| ~ spl0_258
| spl0_307 ),
inference(sat_conversion,[],[f11824]) ).
cnf(s812,plain,
( spl0_254
| spl0_300 ),
inference(sat_conversion,[],[f11827]) ).
cnf(s814,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| spl0_159
| ~ spl0_254 ),
inference(sat_conversion,[],[f11850]) ).
cnf(s815,plain,
( ~ spl0_9
| ~ spl0_254
| ~ spl0_256 ),
inference(sat_conversion,[],[f11853]) ).
cnf(s819,plain,
( ~ spl0_133
| ~ spl0_243
| ~ spl0_305 ),
inference(sat_conversion,[],[f11890]) ).
cnf(s820,plain,
( ~ spl0_145
| ~ spl0_242
| ~ spl0_300
| ~ spl0_306 ),
inference(sat_conversion,[],[f11928]) ).
cnf(s825,plain,
( spl0_160
| spl0_245
| spl0_246 ),
inference(sat_conversion,[],[f11997]) ).
cnf(s852,plain,
( spl0_160
| spl0_242
| spl0_243 ),
inference(sat_conversion,[],[f12342]) ).
cnf(s855,plain,
( ~ spl0_69
| ~ spl0_85
| ~ spl0_249
| ~ spl0_259 ),
inference(sat_conversion,[],[f12368]) ).
cnf(s856,plain,
( ~ spl0_9
| ~ spl0_11
| ~ spl0_248
| ~ spl0_249 ),
inference(sat_conversion,[],[f12371]) ).
cnf(s857,plain,
( ~ spl0_11
| ~ spl0_96
| ~ spl0_249
| ~ spl0_256
| spl0_257 ),
inference(sat_conversion,[],[f12374]) ).
cnf(s862,plain,
( spl0_134
| spl0_135
| spl0_139 ),
inference(sat_conversion,[],[f12385]) ).
cnf(s864,plain,
( ~ spl0_133
| ~ spl0_170
| ~ spl0_180 ),
inference(sat_conversion,[],[f12391]) ).
cnf(s868,plain,
( spl0_180
| spl0_247 ),
inference(sat_conversion,[],[f12399]) ).
cnf(s872,plain,
( ~ spl0_79
| ~ spl0_133
| ~ spl0_150
| spl0_180 ),
inference(sat_conversion,[],[f12411]) ).
cnf(s876,plain,
( spl0_146
| spl0_160
| spl0_165 ),
inference(sat_conversion,[],[f12439]) ).
cnf(s878,plain,
( ~ spl0_134
| ~ spl0_148
| ~ spl0_187 ),
inference(sat_conversion,[],[f12489]) ).
cnf(s895,plain,
( spl0_71
| spl0_150
| spl0_153 ),
inference(sat_conversion,[],[f12524]) ).
cnf(s899,plain,
( spl0_77
| spl0_83 ),
inference(sat_conversion,[],[f12535]) ).
cnf(s907,plain,
( ~ spl0_85
| spl0_177 ),
inference(sat_conversion,[],[f12566]) ).
cnf(s914,plain,
( ~ spl0_155
| spl0_177 ),
inference(sat_conversion,[],[f12619]) ).
cnf(s916,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_54
| ~ spl0_248
| ~ spl0_249 ),
inference(sat_conversion,[],[f12636]) ).
cnf(s917,plain,
( ~ spl0_135
| ~ spl0_168
| ~ spl0_183 ),
inference(sat_conversion,[],[f12665]) ).
cnf(s922,plain,
( ~ spl0_4
| spl0_11
| spl0_143
| spl0_168 ),
inference(sat_conversion,[],[f12685]) ).
cnf(s924,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| spl0_138
| spl0_146
| spl0_168 ),
inference(sat_conversion,[],[f12687]) ).
cnf(s927,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_69
| spl0_138
| spl0_168
| spl0_244 ),
inference(sat_conversion,[],[f12696]) ).
cnf(s930,plain,
( ~ spl0_95
| ~ spl0_133
| ~ spl0_136
| spl0_160
| spl0_168 ),
inference(sat_conversion,[],[f12700]) ).
cnf(s931,plain,
( spl0_132
| spl0_133
| spl0_139 ),
inference(sat_conversion,[],[f12701]) ).
cnf(s934,plain,
( ~ spl0_4
| spl0_133
| spl0_139
| ~ spl0_154
| spl0_168 ),
inference(sat_conversion,[],[f12704]) ).
cnf(s938,plain,
( spl0_156
| spl0_244 ),
inference(sat_conversion,[],[f12754]) ).
cnf(s940,plain,
( spl0_138
| spl0_156
| spl0_244 ),
inference(sat_conversion,[],[f12756]) ).
cnf(s941,plain,
( ~ spl0_80
| ~ spl0_132
| spl0_142
| spl0_146 ),
inference(sat_conversion,[],[f12795]) ).
cnf(s947,plain,
( ~ spl0_187
| ~ spl0_242
| ~ spl0_300 ),
inference(sat_conversion,[],[f12912]) ).
cnf(s950,plain,
( spl0_136
| spl0_137
| spl0_139 ),
inference(sat_conversion,[],[f12915]) ).
cnf(s955,plain,
( ~ spl0_9
| ~ spl0_161
| ~ spl0_245
| ~ spl0_248 ),
inference(sat_conversion,[],[f12977]) ).
cnf(s959,plain,
( ~ spl0_155
| ~ spl0_177
| spl0_185 ),
inference(sat_conversion,[],[f13035]) ).
cnf(s960,plain,
( ~ spl0_69
| ~ spl0_185
| ~ spl0_244 ),
inference(sat_conversion,[],[f13049]) ).
cnf(s961,plain,
( ~ spl0_9
| ~ spl0_180
| ~ spl0_185 ),
inference(sat_conversion,[],[f13051]) ).
cnf(s965,plain,
( ~ spl0_9
| ~ spl0_168
| ~ spl0_248
| ~ spl0_304 ),
inference(sat_conversion,[],[f13091]) ).
cnf(s976,plain,
( ~ spl0_161
| spl0_183 ),
inference(sat_conversion,[],[f13234]) ).
cnf(s981,plain,
( ~ spl0_82
| ~ spl0_132
| spl0_150
| spl0_152 ),
inference(sat_conversion,[],[f13244]) ).
cnf(s987,plain,
( ~ spl0_9
| ~ spl0_170
| spl0_183 ),
inference(sat_conversion,[],[f13266]) ).
cnf(s989,plain,
( ~ spl0_11
| ~ spl0_178
| ~ spl0_183 ),
inference(sat_conversion,[],[f13295]) ).
cnf(s991,plain,
( ~ spl0_183
| ~ spl0_243
| ~ spl0_256 ),
inference(sat_conversion,[],[f13299]) ).
cnf(s1001,plain,
( spl0_256
| spl0_272 ),
inference(sat_conversion,[],[f13325]) ).
cnf(s1010,plain,
( ~ spl0_4
| spl0_168
| spl0_256
| ~ spl0_306 ),
inference(sat_conversion,[],[f13344]) ).
cnf(s1014,plain,
( ~ spl0_4
| spl0_168
| spl0_256
| ~ spl0_281 ),
inference(sat_conversion,[],[f13348]) ).
cnf(s1019,plain,
( spl0_138
| spl0_168
| ~ spl0_176 ),
inference(sat_conversion,[],[f13365]) ).
cnf(s1020,plain,
( ~ spl0_9
| ~ spl0_170
| ~ spl0_181 ),
inference(sat_conversion,[],[f13437]) ).
cnf(s1021,plain,
( ~ spl0_69
| ~ spl0_244
| ~ spl0_250
| ~ spl0_305 ),
inference(sat_conversion,[],[f13467]) ).
cnf(s1030,plain,
( ~ spl0_161
| ~ spl0_245
| spl0_255 ),
inference(sat_conversion,[],[f13546]) ).
cnf(s1039,plain,
( ~ spl0_2
| spl0_168
| spl0_180
| spl0_248
| ~ spl0_306 ),
inference(sat_conversion,[],[f13605]) ).
cnf(s1041,plain,
( ~ spl0_80
| spl0_150
| ~ spl0_242
| spl0_330 ),
inference(sat_conversion,[],[f13622]) ).
cnf(s1044,plain,
( ~ spl0_69
| ~ spl0_133
| ~ spl0_150
| ~ spl0_244 ),
inference(sat_conversion,[],[f13625]) ).
cnf(s1050,plain,
( ~ spl0_80
| ~ spl0_134
| spl0_142
| spl0_150 ),
inference(sat_conversion,[],[f13697]) ).
cnf(s1085,plain,
( ~ spl0_133
| ~ spl0_161
| ~ spl0_331 ),
inference(sat_conversion,[],[f14155]) ).
cnf(s1111,plain,
( ~ spl0_2
| spl0_75
| spl0_79
| spl0_83 ),
inference(sat_conversion,[],[f14246]) ).
cnf(s1112,plain,
( ~ spl0_11
| ~ spl0_177
| spl0_336 ),
inference(sat_conversion,[],[f14255]) ).
cnf(s1113,plain,
( spl0_14
| ~ spl0_53 ),
inference(sat_conversion,[],[f14277]) ).
cnf(s1114,plain,
( spl0_32
| ~ spl0_53 ),
inference(sat_conversion,[],[f14278]) ).
cnf(s1115,plain,
( ~ spl0_143
| ~ spl0_168
| ~ spl0_336 ),
inference(sat_conversion,[],[f14288]) ).
cnf(s1121,plain,
( ~ spl0_69
| ~ spl0_75
| ~ spl0_336 ),
inference(sat_conversion,[],[f14307]) ).
cnf(s1122,plain,
( ~ spl0_4
| ~ spl0_69
| spl0_71
| spl0_150
| spl0_161
| ~ spl0_336 ),
inference(sat_conversion,[],[f14308]) ).
cnf(s1125,plain,
( ~ spl0_4
| ~ spl0_69
| spl0_71
| spl0_136
| spl0_161
| ~ spl0_336 ),
inference(sat_conversion,[],[f14315]) ).
cnf(s1126,plain,
( ~ spl0_2
| spl0_161
| spl0_170
| ~ spl0_242
| spl0_248 ),
inference(sat_conversion,[],[f14318]) ).
cnf(s1128,plain,
( ~ spl0_2
| spl0_83
| ~ spl0_137
| spl0_161
| spl0_170 ),
inference(sat_conversion,[],[f14320]) ).
cnf(s1134,plain,
( ~ spl0_83
| spl0_343 ),
inference(sat_conversion,[],[f14336]) ).
cnf(s1138,plain,
( spl0_170
| spl0_174 ),
inference(sat_conversion,[],[f14354]) ).
cnf(s1140,plain,
( ~ spl0_170
| spl0_343 ),
inference(sat_conversion,[],[f14362]) ).
cnf(s1143,plain,
( ~ spl0_254
| ~ spl0_256
| ~ spl0_336 ),
inference(sat_conversion,[],[f14437]) ).
cnf(s1146,plain,
( ~ spl0_170
| spl0_183
| ~ spl0_343 ),
inference(sat_conversion,[],[f14462]) ).
cnf(s1147,plain,
( ~ spl0_83
| spl0_94
| ~ spl0_343 ),
inference(sat_conversion,[],[f14463]) ).
cnf(s1149,plain,
( ~ spl0_11
| ~ spl0_85
| ~ spl0_94 ),
inference(sat_conversion,[],[f14480]) ).
cnf(s1150,plain,
( ~ spl0_1
| spl0_9 ),
inference(sat_conversion,[],[f14490]) ).
cnf(s1151,plain,
( ~ spl0_1
| spl0_170 ),
inference(sat_conversion,[],[f14495]) ).
cnf(s1154,plain,
( ~ spl0_180
| spl0_343 ),
inference(sat_conversion,[],[f14546]) ).
cnf(s1155,plain,
( ~ spl0_248
| spl0_343 ),
inference(sat_conversion,[],[f14553]) ).
cnf(s1156,plain,
( ~ spl0_180
| spl0_331
| ~ spl0_343 ),
inference(sat_conversion,[],[f14562]) ).
cnf(s1161,plain,
( ~ spl0_4
| spl0_160
| spl0_161
| spl0_245
| spl0_256 ),
inference(sat_conversion,[],[f14610]) ).
cnf(s1164,plain,
( ~ spl0_4
| spl0_160
| spl0_161
| spl0_243
| spl0_256 ),
inference(sat_conversion,[],[f14613]) ).
cnf(s1165,plain,
( ~ spl0_7
| spl0_143
| ~ spl0_144
| ~ spl0_152 ),
inference(sat_conversion,[],[f14614]) ).
cnf(s1166,plain,
( ~ spl0_7
| ~ spl0_142
| spl0_155
| ~ spl0_163 ),
inference(sat_conversion,[],[f14617]) ).
cnf(s1167,plain,
( ~ spl0_4
| spl0_75
| spl0_159
| spl0_256
| spl0_259 ),
inference(sat_conversion,[],[f14618]) ).
cnf(s1169,plain,
( ~ spl0_4
| spl0_75
| spl0_159
| spl0_250
| spl0_256 ),
inference(sat_conversion,[],[f14620]) ).
cnf(s1173,plain,
( ~ spl0_4
| spl0_11
| spl0_109
| spl0_161 ),
inference(sat_conversion,[],[f14625]) ).
cnf(s1174,plain,
( ~ spl0_4
| spl0_11
| spl0_254
| spl0_256 ),
inference(sat_conversion,[],[f14626]) ).
cnf(s1175,plain,
( ~ spl0_4
| spl0_11
| spl0_161
| spl0_178 ),
inference(sat_conversion,[],[f14627]) ).
cnf(s1176,plain,
( ~ spl0_100
| spl0_212
| ~ spl0_343 ),
inference(sat_conversion,[],[f14634]) ).
cnf(s1178,plain,
( ~ spl0_94
| ~ spl0_150
| ~ spl0_161 ),
inference(sat_conversion,[],[f14673]) ).
cnf(s1179,plain,
( ~ spl0_4
| spl0_96
| ~ spl0_136
| ~ spl0_183 ),
inference(sat_conversion,[],[f14697]) ).
cnf(s1180,plain,
( ~ spl0_161
| ~ spl0_212
| ~ spl0_261 ),
inference(sat_conversion,[],[f14714]) ).
cnf(s1182,plain,
( ~ spl0_4
| ~ spl0_155
| ~ spl0_212
| spl0_337 ),
inference(sat_conversion,[],[f14723]) ).
cnf(s1186,plain,
( ~ spl0_69
| ~ spl0_250
| ~ spl0_254 ),
inference(sat_conversion,[],[f14761]) ).
cnf(s1187,plain,
( ~ spl0_75
| ~ spl0_136
| ~ spl0_183 ),
inference(sat_conversion,[],[f14763]) ).
cnf(s1193,plain,
( ~ spl0_80
| ~ spl0_246
| spl0_250
| spl0_330 ),
inference(sat_conversion,[],[f14852]) ).
cnf(s1201,plain,
( spl0_17
| ~ spl0_62 ),
inference(sat_conversion,[],[f14886]) ).
cnf(s1203,plain,
( ~ spl0_168
| ~ spl0_212
| ~ spl0_304 ),
inference(sat_conversion,[],[f14912]) ).
cnf(s1204,plain,
( ~ spl0_185
| ~ spl0_254
| ~ spl0_305 ),
inference(sat_conversion,[],[f14922]) ).
cnf(s1209,plain,
( ~ spl0_142
| ~ spl0_242
| ~ spl0_272
| ~ spl0_306 ),
inference(sat_conversion,[],[f14955]) ).
cnf(s1224,plain,
( ~ spl0_185
| ~ spl0_266
| ~ spl0_277 ),
inference(sat_conversion,[],[f15090]) ).
cnf(s1231,plain,
( ~ spl0_7
| ~ spl0_163
| spl0_249
| ~ spl0_330 ),
inference(sat_conversion,[],[f15248]) ).
cnf(s1232,plain,
( ~ spl0_32
| spl0_54 ),
inference(sat_conversion,[],[f15288]) ).
cnf(s1243,plain,
( ~ spl0_78
| ~ spl0_153
| spl0_250
| ~ spl0_251 ),
inference(sat_conversion,[],[f15396]) ).
cnf(s1252,plain,
( ~ spl0_124
| ~ spl0_156
| ~ spl0_258
| ~ spl0_281
| ~ spl0_300 ),
inference(sat_conversion,[],[f15405]) ).
cnf(s1257,plain,
( ~ spl0_4
| spl0_11
| spl0_85
| ~ spl0_136
| ~ spl0_183 ),
inference(sat_conversion,[],[f15414]) ).
cnf(s1268,plain,
( ~ spl0_100
| spl0_343 ),
inference(sat_conversion,[],[f15520]) ).
cnf(s1269,plain,
( ~ spl0_100
| spl0_170 ),
inference(sat_conversion,[],[f15522]) ).
cnf(s1270,plain,
( ~ spl0_168
| spl0_331 ),
inference(sat_conversion,[],[f15523]) ).
cnf(s1279,plain,
( spl0_248
| spl0_271 ),
inference(sat_conversion,[],[f15534]) ).
cnf(s1288,plain,
( ~ spl0_94
| ~ spl0_250
| ~ spl0_256 ),
inference(sat_conversion,[],[f15560]) ).
cnf(s1302,plain,
( ~ spl0_4
| ~ spl0_94
| spl0_161
| ~ spl0_327
| spl0_350 ),
inference(sat_conversion,[],[f15581]) ).
cnf(s1303,plain,
( ~ spl0_4
| spl0_71
| spl0_75
| spl0_150
| spl0_161 ),
inference(sat_conversion,[],[f15582]) ).
cnf(s1311,plain,
( spl0_177
| ~ spl0_178 ),
inference(sat_conversion,[],[f15623]) ).
cnf(s1312,plain,
( ~ spl0_78
| ~ spl0_137
| ~ spl0_258
| ~ spl0_330 ),
inference(sat_conversion,[],[f15624]) ).
cnf(s1315,plain,
( ~ spl0_126
| ~ spl0_137
| ~ spl0_154
| spl0_347 ),
inference(sat_conversion,[],[f15659]) ).
cnf(s1318,plain,
( ~ spl0_94
| ~ spl0_146
| ~ spl0_168 ),
inference(sat_conversion,[],[f15685]) ).
cnf(s1325,plain,
( ~ spl0_75
| ~ spl0_244
| ~ spl0_331 ),
inference(sat_conversion,[],[f15745]) ).
cnf(s1329,plain,
( spl0_257
| ~ spl0_288
| ~ spl0_350 ),
inference(sat_conversion,[],[f15804]) ).
cnf(s1335,plain,
( spl0_147
| ~ spl0_260
| spl0_277 ),
inference(sat_conversion,[],[f15812]) ).
cnf(s1336,plain,
( ~ spl0_4
| spl0_54
| ~ spl0_177
| spl0_336 ),
inference(sat_conversion,[],[f15836]) ).
cnf(s1339,plain,
( ~ spl0_4
| ~ spl0_177
| spl0_336
| spl0_337 ),
inference(sat_conversion,[],[f15839]) ).
cnf(s1340,plain,
( ~ spl0_256
| ~ spl0_305
| ~ spl0_331 ),
inference(sat_conversion,[],[f15853]) ).
cnf(s1341,plain,
( ~ spl0_135
| ~ spl0_143
| ~ spl0_181 ),
inference(sat_conversion,[],[f15854]) ).
cnf(s1342,plain,
( ~ spl0_181
| ~ spl0_243
| ~ spl0_254 ),
inference(sat_conversion,[],[f15855]) ).
cnf(s1348,plain,
( ~ spl0_4
| ~ spl0_155
| ~ spl0_331
| spl0_337 ),
inference(sat_conversion,[],[f15897]) ).
cnf(s1351,plain,
( spl0_9
| ~ spl0_48
| ~ spl0_155
| ~ spl0_331 ),
inference(sat_conversion,[],[f15928]) ).
cnf(s1355,plain,
( ~ spl0_82
| ~ spl0_242
| spl0_250
| spl0_251 ),
inference(sat_conversion,[],[f15990]) ).
cnf(s1358,plain,
( ~ spl0_82
| spl0_250
| ~ spl0_306
| spl0_309 ),
inference(sat_conversion,[],[f16028]) ).
cnf(s1373,plain,
( ~ spl0_7
| ~ spl0_87
| spl0_249
| ~ spl0_307 ),
inference(sat_conversion,[],[f16237]) ).
cnf(s1374,plain,
( ~ spl0_178
| ~ spl0_249
| ~ spl0_255 ),
inference(sat_conversion,[],[f16249]) ).
cnf(s1378,plain,
( ~ spl0_153
| ~ spl0_172
| ~ spl0_260
| spl0_288 ),
inference(sat_conversion,[],[f16487]) ).
cnf(s1382,plain,
( ~ spl0_132
| spl0_146
| ~ spl0_153
| ~ spl0_172 ),
inference(sat_conversion,[],[f16493]) ).
cnf(s1383,plain,
( spl0_83
| spl0_128
| ~ spl0_172 ),
inference(sat_conversion,[],[f16494]) ).
cnf(s1384,plain,
( spl0_146
| ~ spl0_172
| ~ spl0_267
| ~ spl0_352 ),
inference(sat_conversion,[],[f16498]) ).
cnf(s1390,plain,
( spl0_146
| ~ spl0_172
| ~ spl0_306
| ~ spl0_353 ),
inference(sat_conversion,[],[f16507]) ).
cnf(s1394,plain,
( ~ spl0_134
| spl0_150
| spl0_169 ),
inference(sat_conversion,[],[f16515]) ).
cnf(s1396,plain,
( ~ spl0_134
| spl0_150
| ~ spl0_165
| ~ spl0_172 ),
inference(sat_conversion,[],[f16517]) ).
cnf(s1400,plain,
( spl0_150
| ~ spl0_172
| ~ spl0_242
| ~ spl0_353 ),
inference(sat_conversion,[],[f16521]) ).
cnf(s1403,plain,
( spl0_170
| ~ spl0_328
| spl0_355 ),
inference(sat_conversion,[],[f16527]) ).
cnf(s1406,plain,
( ~ spl0_78
| ~ spl0_165
| spl0_250
| ~ spl0_309 ),
inference(sat_conversion,[],[f16530]) ).
cnf(s1410,plain,
( ~ spl0_78
| ~ spl0_137
| ~ spl0_142
| ~ spl0_156 ),
inference(sat_conversion,[],[f16535]) ).
cnf(s1413,plain,
( ~ spl0_4
| spl0_54
| ~ spl0_178
| ~ spl0_183 ),
inference(sat_conversion,[],[f16544]) ).
cnf(s1414,plain,
( ~ spl0_4
| ~ spl0_178
| ~ spl0_183
| spl0_337 ),
inference(sat_conversion,[],[f16546]) ).
cnf(s1416,plain,
( ~ spl0_100
| ~ spl0_255 ),
inference(sat_conversion,[],[f16580]) ).
cnf(s1422,plain,
( ~ spl0_4
| spl0_96
| ~ spl0_244
| ~ spl0_331 ),
inference(sat_conversion,[],[f16653]) ).
cnf(s1425,plain,
( spl0_48
| ~ spl0_100
| ~ spl0_140 ),
inference(sat_conversion,[],[f16809]) ).
cnf(s1428,plain,
( ~ spl0_246
| spl0_251
| ~ spl0_293 ),
inference(sat_conversion,[],[f16857]) ).
cnf(s1431,plain,
( ~ spl0_82
| spl0_150
| ~ spl0_246
| spl0_251 ),
inference(sat_conversion,[],[f16861]) ).
cnf(s1447,plain,
( ~ spl0_2
| ~ spl0_132
| ~ spl0_157
| spl0_170
| ~ spl0_247 ),
inference(sat_conversion,[],[f17160]) ).
cnf(s1458,plain,
( ~ spl0_137
| ~ spl0_144
| ~ spl0_174
| ~ spl0_354 ),
inference(sat_conversion,[],[f17182]) ).
cnf(s1460,plain,
( ~ spl0_109
| spl0_181 ),
inference(sat_conversion,[],[f17184]) ).
cnf(s1462,plain,
( ~ spl0_250
| ~ spl0_256
| spl0_356 ),
inference(sat_conversion,[],[f17188]) ).
cnf(s1464,plain,
( ~ spl0_4
| spl0_11
| spl0_155
| spl0_168 ),
inference(sat_conversion,[],[f17190]) ).
cnf(s1467,plain,
( ~ spl0_7
| ~ spl0_144
| ~ spl0_251
| spl0_254 ),
inference(sat_conversion,[],[f17193]) ).
cnf(s1468,plain,
( ~ spl0_134
| ~ spl0_157
| ~ spl0_281
| ~ spl0_330 ),
inference(sat_conversion,[],[f17194]) ).
cnf(s1478,plain,
( ~ spl0_109
| ~ spl0_161
| ~ spl0_336 ),
inference(sat_conversion,[],[f17233]) ).
cnf(s1482,plain,
( spl0_250
| spl0_353 ),
inference(sat_conversion,[],[f17248]) ).
cnf(s1484,plain,
( spl0_288
| spl0_352 ),
inference(sat_conversion,[],[f17250]) ).
cnf(s1485,plain,
( ~ spl0_242
| ~ spl0_328
| spl0_330 ),
inference(sat_conversion,[],[f17251]) ).
cnf(s1489,plain,
( ~ spl0_4
| spl0_75
| spl0_138
| spl0_146
| spl0_168 ),
inference(sat_conversion,[],[f17254]) ).
cnf(s1490,plain,
( spl0_159
| spl0_250
| spl0_353 ),
inference(sat_conversion,[],[f17255]) ).
cnf(s1491,plain,
( ~ spl0_4
| spl0_75
| spl0_138
| spl0_168
| spl0_244 ),
inference(sat_conversion,[],[f17256]) ).
cnf(s1494,plain,
( ~ spl0_9
| spl0_336
| ~ spl0_343 ),
inference(sat_conversion,[],[f17269]) ).
cnf(s1496,plain,
( ~ spl0_23
| spl0_178 ),
inference(sat_conversion,[],[f17290]) ).
cnf(s1500,plain,
( ~ spl0_248
| ~ spl0_343
| spl0_356 ),
inference(sat_conversion,[],[f17341]) ).
cnf(s1501,plain,
( ~ spl0_126
| ~ spl0_156
| ~ spl0_157
| spl0_363 ),
inference(sat_conversion,[],[f17370]) ).
cnf(s1506,plain,
( ~ spl0_3
| ~ spl0_69
| spl0_83
| ~ spl0_336 ),
inference(sat_conversion,[],[f17448]) ).
cnf(s1510,plain,
( ~ spl0_7
| spl0_178
| ~ spl0_355 ),
inference(sat_conversion,[],[f17456]) ).
cnf(s1511,plain,
( ~ spl0_3
| spl0_161
| spl0_170 ),
inference(sat_conversion,[],[f17457]) ).
cnf(s1514,plain,
( ~ spl0_3
| ~ spl0_177
| spl0_336
| ~ spl0_343 ),
inference(sat_conversion,[],[f17460]) ).
cnf(s1521,plain,
( ~ spl0_3
| spl0_9
| ~ spl0_155
| ~ spl0_331 ),
inference(sat_conversion,[],[f17551]) ).
cnf(s1522,plain,
( ~ spl0_3
| spl0_9
| ~ spl0_85
| ~ spl0_94 ),
inference(sat_conversion,[],[f17569]) ).
cnf(s1525,plain,
( ~ spl0_3
| spl0_9
| ~ spl0_13
| ~ spl0_178
| ~ spl0_343 ),
inference(sat_conversion,[],[f17601]) ).
cnf(s1545,plain,
( ~ spl0_242
| ~ spl0_258
| ~ spl0_347 ),
inference(sat_conversion,[],[f17929]) ).
cnf(s1550,plain,
( ~ spl0_3
| spl0_168
| spl0_180 ),
inference(sat_conversion,[],[f17942]) ).
cnf(s1559,plain,
( ~ spl0_83
| ~ spl0_170
| ~ spl0_327 ),
inference(sat_conversion,[],[f17957]) ).
cnf(s1569,plain,
( ~ spl0_3
| ~ spl0_183
| ~ spl0_243
| spl0_248 ),
inference(sat_conversion,[],[f18063]) ).
cnf(s1577,plain,
( spl0_69
| spl0_71
| spl0_98 ),
inference(sat_conversion,[],[f18125]) ).
cnf(s1585,plain,
( ~ spl0_85
| ~ spl0_143
| ~ spl0_146
| ~ spl0_177 ),
inference(sat_conversion,[],[f18242]) ).
cnf(s1586,plain,
( ~ spl0_85
| ~ spl0_177
| ~ spl0_277
| ~ spl0_288 ),
inference(sat_conversion,[],[f18243]) ).
cnf(s1595,plain,
( ~ spl0_62
| spl0_337 ),
inference(sat_conversion,[],[f18316]) ).
cnf(s1612,plain,
( ~ spl0_77
| ~ spl0_98
| spl0_150
| ~ spl0_362 ),
inference(sat_conversion,[],[f18617]) ).
cnf(s1613,plain,
( ~ spl0_136
| spl0_327 ),
inference(sat_conversion,[],[f18624]) ).
cnf(s1621,plain,
( ~ spl0_85
| ~ spl0_178
| ~ spl0_327 ),
inference(sat_conversion,[],[f18657]) ).
cnf(s1625,plain,
( ~ spl0_85
| ~ spl0_136
| ~ spl0_155
| ~ spl0_244 ),
inference(sat_conversion,[],[f18678]) ).
cnf(s1649,plain,
( ~ spl0_258
| ~ spl0_271
| ~ spl0_300
| ~ spl0_354 ),
inference(sat_conversion,[],[f18839]) ).
cnf(s1652,plain,
( ~ spl0_161
| ~ spl0_245
| ~ spl0_356 ),
inference(sat_conversion,[],[f18863]) ).
cnf(s1654,plain,
( spl0_71
| spl0_75
| spl0_85
| ~ spl0_337 ),
inference(sat_conversion,[],[f18871]) ).
cnf(s1667,plain,
( ~ spl0_135
| ~ spl0_146
| ~ spl0_327 ),
inference(sat_conversion,[],[f19035]) ).
cnf(s1668,plain,
( ~ spl0_243
| ~ spl0_250
| ~ spl0_327 ),
inference(sat_conversion,[],[f19037]) ).
cnf(s1681,plain,
( ~ spl0_78
| ~ spl0_137
| ~ spl0_355 ),
inference(sat_conversion,[],[f19110]) ).
cnf(s1682,plain,
( spl0_124
| ~ spl0_137
| spl0_178 ),
inference(sat_conversion,[],[f19111]) ).
cnf(s1694,plain,
( ~ spl0_244
| ~ spl0_250
| ~ spl0_305 ),
inference(sat_conversion,[],[f19278]) ).
cnf(s1695,plain,
( ~ spl0_83
| ~ spl0_180
| ~ spl0_244 ),
inference(sat_conversion,[],[f19280]) ).
cnf(s1698,plain,
( ~ spl0_146
| ~ spl0_259
| ~ spl0_304 ),
inference(sat_conversion,[],[f19316]) ).
cnf(s1699,plain,
( ~ spl0_83
| ~ spl0_248
| ~ spl0_259 ),
inference(sat_conversion,[],[f19318]) ).
cnf(s1704,plain,
( ~ spl0_87
| ~ spl0_98
| spl0_150
| ~ spl0_360 ),
inference(sat_conversion,[],[f19380]) ).
cnf(s1709,plain,
( ~ spl0_11
| ~ spl0_249
| ~ spl0_356 ),
inference(sat_conversion,[],[f19402]) ).
cnf(s1717,plain,
( ~ spl0_98
| spl0_155
| ~ spl0_363 ),
inference(sat_conversion,[],[f19503]) ).
cnf(s1728,plain,
( ~ spl0_54
| ~ spl0_183
| ~ spl0_243
| spl0_253
| spl0_254 ),
inference(sat_conversion,[],[f19607]) ).
cnf(s1740,plain,
( ~ spl0_98
| spl0_178
| ~ spl0_347 ),
inference(sat_conversion,[],[f19755]) ).
cnf(s1760,plain,
( ~ spl0_133
| ~ spl0_135
| ~ spl0_261
| ~ spl0_265 ),
inference(sat_conversion,[],[f19957]) ).
cnf(s1764,plain,
( spl0_69
| ~ spl0_124
| spl0_366 ),
inference(sat_conversion,[],[f20048]) ).
cnf(s1765,plain,
( ~ spl0_258
| ~ spl0_273
| ~ spl0_300
| ~ spl0_366 ),
inference(sat_conversion,[],[f20064]) ).
cnf(s1766,plain,
( ~ spl0_137
| ~ spl0_144
| ~ spl0_163
| ~ spl0_366 ),
inference(sat_conversion,[],[f20065]) ).
cnf(s1768,plain,
( spl0_249
| spl0_273 ),
inference(sat_conversion,[],[f20079]) ).
cnf(s1772,plain,
( spl0_9
| ~ spl0_20
| spl0_53 ),
inference(sat_conversion,[],[f20083]) ).
cnf(s1781,plain,
( ~ spl0_133
| ~ spl0_155
| ~ spl0_178 ),
inference(sat_conversion,[],[f20115]) ).
cnf(s1783,plain,
( ~ spl0_137
| spl0_150
| spl0_172 ),
inference(sat_conversion,[],[f20116]) ).
cnf(s1791,plain,
( spl0_75
| ~ spl0_124
| spl0_354 ),
inference(sat_conversion,[],[f20153]) ).
cnf(s1803,plain,
( spl0_146
| ~ spl0_156
| spl0_172 ),
inference(sat_conversion,[],[f20246]) ).
cnf(s1804,plain,
( ~ spl0_148
| ~ spl0_156
| ~ spl0_158
| ~ spl0_366 ),
inference(sat_conversion,[],[f20247]) ).
cnf(s1806,plain,
( spl0_126
| ~ spl0_156
| spl0_180 ),
inference(sat_conversion,[],[f20248]) ).
cnf(s1807,plain,
( spl0_124
| spl0_155
| ~ spl0_156 ),
inference(sat_conversion,[],[f20249]) ).
cnf(s1808,plain,
( ~ spl0_1
| spl0_83 ),
inference(sat_conversion,[],[f20257]) ).
cnf(s1833,plain,
( ~ spl0_132
| ~ spl0_148
| ~ spl0_247
| ~ spl0_362 ),
inference(sat_conversion,[],[f20522]) ).
cnf(s1834,plain,
( ~ spl0_54
| spl0_109
| spl0_138
| spl0_161 ),
inference(sat_conversion,[],[f20557]) ).
cnf(s1835,plain,
( ~ spl0_54
| spl0_71
| ~ spl0_136
| ~ spl0_181
| ~ spl0_244
| ~ spl0_331 ),
inference(sat_conversion,[],[f20559]) ).
cnf(s1836,plain,
( ~ spl0_136
| ~ spl0_150
| ~ spl0_245
| ~ spl0_259 ),
inference(sat_conversion,[],[f20571]) ).
cnf(s1841,plain,
( spl0_110
| ~ spl0_246
| spl0_249 ),
inference(sat_conversion,[],[f20601]) ).
cnf(s1849,plain,
( ~ spl0_20
| ~ spl0_132
| spl0_143
| ~ spl0_144
| ~ spl0_154 ),
inference(sat_conversion,[],[f20764]) ).
cnf(s1850,plain,
( ~ spl0_20
| ~ spl0_144
| ~ spl0_154
| ~ spl0_246
| spl0_254 ),
inference(sat_conversion,[],[f20765]) ).
cnf(s1853,plain,
( ~ spl0_87
| spl0_88
| ~ spl0_99 ),
inference(sat_conversion,[],[f20829]) ).
cnf(s1854,plain,
( ~ spl0_110
| ~ spl0_132
| ~ spl0_260
| ~ spl0_264
| ~ spl0_285 ),
inference(sat_conversion,[],[f20881]) ).
cnf(s1855,plain,
( ~ spl0_110
| ~ spl0_132
| ~ spl0_246
| ~ spl0_281
| ~ spl0_300 ),
inference(sat_conversion,[],[f20883]) ).
cnf(s1856,plain,
( ~ spl0_132
| spl0_143
| spl0_147 ),
inference(sat_conversion,[],[f20884]) ).
cnf(s1857,plain,
( ~ spl0_99
| ~ spl0_134
| spl0_146
| ~ spl0_153 ),
inference(sat_conversion,[],[f20885]) ).
cnf(s1863,plain,
( spl0_109
| ~ spl0_110
| spl0_360 ),
inference(sat_conversion,[],[f20891]) ).
cnf(s1866,plain,
( ~ spl0_132
| spl0_168
| spl0_328 ),
inference(sat_conversion,[],[f20894]) ).
cnf(s1869,plain,
( spl0_147
| ~ spl0_246
| spl0_254 ),
inference(sat_conversion,[],[f20897]) ).
cnf(s1871,plain,
( ~ spl0_99
| ~ spl0_153
| ~ spl0_242
| spl0_250 ),
inference(sat_conversion,[],[f20899]) ).
cnf(s1876,plain,
( spl0_172
| spl0_250
| ~ spl0_258 ),
inference(sat_conversion,[],[f20984]) ).
cnf(s1878,plain,
( ~ spl0_99
| spl0_146
| ~ spl0_264
| ~ spl0_352 ),
inference(sat_conversion,[],[f21017]) ).
cnf(s1879,plain,
( ~ spl0_3
| spl0_83
| ~ spl0_244
| ~ spl0_331 ),
inference(sat_conversion,[],[f21058]) ).
cnf(s1880,plain,
( ~ spl0_3
| spl0_94
| ~ spl0_136
| ~ spl0_343 ),
inference(sat_conversion,[],[f21059]) ).
cnf(s1884,plain,
( ~ spl0_7
| spl0_85
| ~ spl0_128 ),
inference(sat_conversion,[],[f21065]) ).
cnf(s1886,plain,
( ~ spl0_6
| ~ spl0_110
| ~ spl0_132
| ~ spl0_154
| spl0_168 ),
inference(sat_conversion,[],[f21067]) ).
cnf(s1887,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_75
| ~ spl0_366 ),
inference(sat_conversion,[],[f21068]) ).
cnf(s1888,plain,
( ~ spl0_132
| spl0_180
| spl0_293 ),
inference(sat_conversion,[],[f21069]) ).
cnf(s1889,plain,
( ~ spl0_110
| spl0_161
| spl0_362 ),
inference(sat_conversion,[],[f21070]) ).
cnf(s1892,plain,
( ~ spl0_6
| spl0_11
| ~ spl0_22
| spl0_62 ),
inference(sat_conversion,[],[f21073]) ).
cnf(s1893,plain,
( ~ spl0_246
| spl0_248
| spl0_293 ),
inference(sat_conversion,[],[f21074]) ).
cnf(s1894,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f21075]) ).
cnf(s1899,plain,
( spl0_124
| spl0_249
| ~ spl0_258 ),
inference(sat_conversion,[],[f21083]) ).
cnf(s1913,plain,
( ~ spl0_168
| ~ spl0_212
| ~ spl0_265 ),
inference(sat_conversion,[],[f21211]) ).
cnf(s1914,plain,
( ~ spl0_85
| ~ spl0_177
| ~ spl0_250
| ~ spl0_254 ),
inference(sat_conversion,[],[f21221]) ).
cnf(s1915,plain,
( spl0_110
| ~ spl0_132
| spl0_155 ),
inference(sat_conversion,[],[f21222]) ).
cnf(s1916,plain,
( spl0_126
| ~ spl0_137
| spl0_170 ),
inference(sat_conversion,[],[f21223]) ).
cnf(s1926,plain,
( ~ spl0_75
| spl0_94 ),
inference(sat_conversion,[],[f21464]) ).
cnf(s2007,plain,
( spl0_85
| spl0_87 ),
inference(rat,[],[s139,s191]) ).
cnf(s2011,plain,
( ~ spl0_244
| ~ spl0_148
| spl0_155
| ~ spl0_83
| ~ spl0_136
| spl0_161 ),
inference(rat,[],[s1889,s1833,s1915,s931,s868,s523,s1695,s796]) ).
cnf(s2013,plain,
( spl0_155
| ~ spl0_148
| ~ spl0_136
| ~ spl0_83
| spl0_69
| spl0_161 ),
inference(rat,[],[s1764,s1804,s1807,s938,s2011,s533,s321]) ).
cnf(s2015,plain,
( ~ spl0_143
| spl0_161
| ~ spl0_181
| ~ spl0_336
| ~ spl0_4 ),
inference(rat,[],[s336,s862,s1115,s1341,s796]) ).
cnf(s2016,plain,
( ~ spl0_156
| spl0_69
| spl0_155
| ~ spl0_148 ),
inference(rat,[],[s1764,s1804,s1807,s533,s321]) ).
cnf(s2018,plain,
( ~ spl0_242
| ~ spl0_347
| ~ spl0_83
| spl0_170
| spl0_161
| ~ spl0_2 ),
inference(rat,[],[s1699,s552,s1126,s1545,s321]) ).
cnf(s2020,plain,
( ~ spl0_69
| spl0_161
| ~ spl0_181
| ~ spl0_336
| ~ spl0_4 ),
inference(rat,[],[s1125,s751,s191]) ).
cnf(s2022,plain,
( ~ spl0_137
| spl0_170
| spl0_347
| ~ spl0_154 ),
inference(rat,[],[s1315,s1916]) ).
cnf(s2023,plain,
( spl0_168
| ~ spl0_143
| ~ spl0_136
| spl0_363
| spl0_161
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s407,s415,s404,s1806,s1501,s938,s523,s934,s349,s746,s796]) ).
cnf(s2024,plain,
( ~ spl0_136
| ~ spl0_83
| spl0_69
| spl0_155
| spl0_161
| ~ spl0_336
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s1115,s2023,s362,s2013,s1717,s1577,s321,s191]) ).
cnf(s2025,plain,
( ~ spl0_137
| spl0_69
| ~ spl0_154
| spl0_178
| ~ spl0_9 ),
inference(rat,[],[s346,s1460,s1766,s1020,s1764,s2022,s1682,s747,s1740,s1577,s191]) ).
cnf(s2026,plain,
( spl0_168
| spl0_75
| ~ spl0_136
| ~ spl0_154
| ~ spl0_4 ),
inference(rat,[],[s523,s1491,s934,s264,s796]) ).
cnf(s2027,plain,
( spl0_250
| ~ spl0_165
| ~ spl0_331
| spl0_75
| ~ spl0_82
| ~ spl0_4 ),
inference(rat,[],[s805,s1358,s1340,s1406,s1169,s141,s796,s321]) ).
cnf(s2028,plain,
( spl0_69
| spl0_155
| spl0_161
| spl0_178
| ~ spl0_19
| ~ spl0_11
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s947,s812,s852,s1914,s1668,s2027,s876,s1667,s862,s878,s419,s1856,s931,s523,s940,s2016,s362,s1115,s1270,s2026,s1926,s155,s163,s112,s2024,s1613,s950,s2025,s1112,s384,s746,s692,s796,s264,s321]) ).
cnf(s2030,plain,
( ~ spl0_133
| ~ spl0_265
| ~ spl0_135
| ~ spl0_352
| spl0_146
| ~ spl0_185
| ~ spl0_136
| spl0_178 ),
inference(rat,[],[s732,s419,s555,s1335,s712,s763,s1224,s701,s1384,s1803,s554,s938,s1760,s523,s321,s627,s692]) ).
cnf(s2031,plain,
( ~ spl0_168
| ~ spl0_155
| spl0_35
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s365,s406]) ).
cnf(s2037,plain,
( ~ spl0_137
| spl0_69
| ~ spl0_144
| spl0_178 ),
inference(rat,[],[s1764,s1766,s1682,s747]) ).
cnf(s2039,plain,
( ~ spl0_248
| ~ spl0_300
| ~ spl0_83
| spl0_69
| ~ spl0_11
| ~ spl0_9 ),
inference(rat,[],[s1764,s1765,s1899,s1768,s552,s856,s1699,s321]) ).
cnf(s2040,plain,
( spl0_168
| spl0_248
| ~ spl0_243
| ~ spl0_83
| ~ spl0_148
| spl0_69
| ~ spl0_178
| ~ spl0_154
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1695,s1039,s940,s805,s2016,s819,s1781,s934,s264,s796]) ).
cnf(s2041,plain,
( spl0_136
| ~ spl0_178
| spl0_161
| ~ spl0_11
| ~ spl0_9
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s938,s2016,s1325,s2031,s1270,s2040,s2039,s812,s1342,s852,s2018,s141,s2022,s1128,s341,s950,s746,s411,s987,s989,s2020,s362,s2015,s421,s1112,s384,s692,s191,s796,s321]) ).
cnf(s2042,plain,
( ~ spl0_133
| ~ spl0_136
| ~ spl0_148
| spl0_69
| ~ spl0_178 ),
inference(rat,[],[s938,s2016,s523,s1781]) ).
cnf(s2043,plain,
( spl0_146
| ~ spl0_244
| ~ spl0_82
| ~ spl0_331
| ~ spl0_132
| ~ spl0_327
| ~ spl0_74
| spl0_161
| ~ spl0_336
| ~ spl0_4 ),
inference(rat,[],[s812,s820,s1143,s805,s1164,s852,s1694,s1668,s2027,s270,s876,s1325,s796,s692]) ).
cnf(s2046,plain,
( spl0_168
| ~ spl0_136
| ~ spl0_98
| spl0_178
| spl0_161
| ~ spl0_18
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s700,s2030,s1878,s959,s1484,s151,s533,s1329,s113,s529,s1302,s1149,s938,s1667,s1926,s523,s862,s2026,s934,s336,s349,s384,s746,s1613,s692,s321,s574,s796]) ).
cnf(s2047,plain,
( spl0_69
| spl0_178
| spl0_161
| ~ spl0_18
| ~ spl0_11
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s862,s878,s1667,s419,s2043,s1856,s931,s523,s940,s112,s2016,s2024,s362,s2031,s1115,s1270,s2046,s1613,s950,s2025,s107,s1577,s1112,s384,s746,s411,s796,s264,s321,s191]) ).
cnf(s2050,plain,
( ~ spl0_243
| spl0_75
| ~ spl0_327
| ~ spl0_183
| ~ spl0_4 ),
inference(rat,[],[s1169,s1668,s991,s321]) ).
cnf(s2052,plain,
( spl0_136
| spl0_69
| spl0_161
| ~ spl0_11
| ~ spl0_9
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2025,s2041,s950,s746,s796]) ).
cnf(s2053,plain,
( ~ spl0_259
| ~ spl0_300
| ~ spl0_146
| ~ spl0_150
| ~ spl0_110
| ~ spl0_132
| ~ spl0_136 ),
inference(rat,[],[s1855,s825,s804,s1836,s1698,s692,s796]) ).
cnf(s2054,plain,
( ~ spl0_243
| ~ spl0_146
| ~ spl0_96
| spl0_75
| ~ spl0_150
| ~ spl0_110
| ~ spl0_132
| ~ spl0_181
| ~ spl0_136
| spl0_69
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s1764,s1765,s1899,s552,s2053,s1768,s857,s1169,s812,s1668,s1342,s1613,s321,s574]) ).
cnf(s2055,plain,
( ~ spl0_178
| ~ spl0_136
| spl0_69
| spl0_161
| ~ spl0_11
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s1764,s1765,s1899,s552,s2053,s1768,s812,s857,s1143,s1164,s2054,s2043,s1422,s1325,s1612,s940,s1889,s112,s899,s2016,s1915,s2024,s2031,s1270,s934,s931,s2042,s362,s2015,s421,s1112,s384,s746,s411,s1577,s107,s1613,s321,s574,s692,s264,s796,s191]) ).
cnf(s2056,plain,
( spl0_69
| spl0_161
| ~ spl0_11
| ~ spl0_9
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s700,s2030,s1878,s1484,s151,s1329,s113,s1302,s1149,s1667,s1926,s862,s2026,s934,s336,s2031,s959,s2028,s16,s2047,s2055,s1613,s2052,s1577,s384,s746,s411,s692,s574,s796,s191]) ).
cnf(s2057,plain,
( spl0_161
| ~ spl0_11
| ~ spl0_9
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s965,s1279,s804,s1649,s1252,s1791,s1807,s552,s938,s1836,s523,s825,s931,s1850,s1849,s17,s417,s421,s365,s812,s348,s2026,s2020,s403,s408,s814,s1122,s1125,s338,s409,s1121,s2056,s746,s1112,s384,s796,s321,s692,s264,s191]) ).
cnf(s2058,plain,
( spl0_259
| spl0_75
| ~ spl0_96
| spl0_69
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s1764,s1765,s1899,s1768,s812,s857,s1143,s1167,s552,s1112,s384,s574,s321]) ).
cnf(s2059,plain,
( spl0_168
| ~ spl0_259
| ~ spl0_242
| spl0_75
| ~ spl0_136
| ~ spl0_4 ),
inference(rat,[],[s1485,s1866,s1468,s931,s804,s862,s523,s1698,s1667,s1491,s1489,s349,s1613,s796,s264]) ).
cnf(s2060,plain,
( ~ spl0_168
| spl0_178
| ~ spl0_161
| ~ spl0_336 ),
inference(rat,[],[s419,s1856,s878,s931,s862,s362,s1085,s917,s1115,s1270,s976,s796,s321]) ).
cnf(s2061,plain,
( spl0_69
| spl0_168
| ~ spl0_144
| ~ spl0_183
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s2059,s852,s2058,s2050,s1187,s1179,s1613,s950,s2037,s989,s692,s796]) ).
cnf(s2063,plain,
( ~ spl0_243
| ~ spl0_133
| spl0_168
| ~ spl0_183
| ~ spl0_4 ),
inference(rat,[],[s805,s1010,s819,s991,s796]) ).
cnf(s2064,plain,
( ~ spl0_133
| ~ spl0_137
| ~ spl0_11
| ~ spl0_9
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1039,s955,s805,s825,s1021,s1869,s1482,s419,s1400,s947,s852,s2063,s1783,s864,s1044,s927,s812,s814,s1138,s1458,s1791,s1682,s1121,s2061,s2060,s989,s976,s348,s1478,s2057,s1112,s384,s796,s692,s264,s321]) ).
cnf(s2065,plain,
( spl0_256
| ~ spl0_146
| spl0_75
| spl0_168
| ~ spl0_4 ),
inference(rat,[],[s804,s1698,s1014,s1167,s796,s321]) ).
cnf(s2066,plain,
( ~ spl0_11
| ~ spl0_9
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s950,s2064,s930,s931,s1856,s419,s947,s852,s991,s2065,s812,s924,s403,s814,s231,s1121,s2061,s2060,s348,s989,s1478,s976,s2057,s1112,s384,s796,s692,s264,s321]) ).
cnf(s2067,plain,
( spl0_168
| spl0_161
| spl0_11
| ~ spl0_4 ),
inference(rat,[],[s1781,s934,s1464,s746,s1175,s796]) ).
cnf(s2068,plain,
( spl0_136
| spl0_170
| spl0_161
| spl0_11
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1390,s1490,s805,s1288,s1340,s1174,s1342,s1803,s938,s852,s1318,s1325,s2018,s1147,s1134,s141,s2022,s1128,s341,s950,s746,s421,s1311,s1175,s1270,s2067,s321,s796,s692,s191]) ).
cnf(s2069,plain,
( ~ spl0_243
| ~ spl0_172
| spl0_146
| ~ spl0_327
| ~ spl0_331
| ~ spl0_181
| spl0_11
| ~ spl0_4 ),
inference(rat,[],[s805,s1390,s1340,s1490,s1174,s1668,s1342,s796,s321]) ).
cnf(s2070,plain,
( ~ spl0_75
| ~ spl0_132
| ~ spl0_327
| spl0_161
| spl0_11
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s820,s805,s812,s1340,s1143,s1164,s852,s2069,s1494,s1134,s1383,s270,s1803,s938,s1318,s1325,s1926,s421,s1311,s107,s338,s1173,s1270,s2067,s1884,s1621,s1175,s8,s796,s692,s191]) ).
cnf(s2071,plain,
( ~ spl0_243
| ~ spl0_146
| spl0_172
| ~ spl0_110
| ~ spl0_150
| ~ spl0_132
| ~ spl0_136
| ~ spl0_181 ),
inference(rat,[],[s552,s2053,s1876,s812,s1668,s1342,s1613,s321]) ).
cnf(s2072,plain,
( spl0_161
| ~ spl0_9
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s552,s809,s2053,s1373,s812,s916,s1143,s1126,s1164,s852,s2071,s1835,s2043,s940,s1383,s112,s1915,s2016,s2024,s1348,s1339,s1654,s1303,s2070,s2007,s1884,s931,s1621,s2042,s1613,s2068,s362,s402,s1270,s2067,s107,s1020,s338,s421,s1311,s1173,s1175,s8,s5,s2066,s321,s692,s191,s264,s796]) ).
cnf(s2073,plain,
( ~ spl0_178
| ~ spl0_155
| ~ spl0_157
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s1447,s931,s1020,s1781,s421,s868,s961,s959,s914,s796]) ).
cnf(s2074,plain,
( spl0_168
| ~ spl0_9
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1625,s1491,s1257,s1187,s950,s2037,s2073,s375,s1464,s349,s1019,s2066,s976,s348,s339,s2072,s264,s796]) ).
cnf(s2075,plain,
( ~ spl0_94
| ~ spl0_137
| ~ spl0_168
| ~ spl0_161 ),
inference(rat,[],[s876,s1396,s1783,s1318,s1178,s862,s917,s976,s692,s796]) ).
cnf(s2076,plain,
( ~ spl0_243
| ~ spl0_54
| ~ spl0_181
| ~ spl0_183 ),
inference(rat,[],[s1728,s1342,s599]) ).
cnf(s2077,plain,
( ~ spl0_83
| spl0_94 ),
inference(rat,[],[s1147,s1134]) ).
cnf(s2078,plain,
( spl0_254
| ~ spl0_82
| ~ spl0_168
| ~ spl0_161
| spl0_11
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s1855,s1915,s804,s959,s965,s961,s1893,s1888,s1428,s825,s1652,s1462,s1355,s1467,s1174,s812,s8,s348,s339,s852,s2076,s1413,s421,s1311,s419,s1856,s931,s1085,s1270,s878,s862,s917,s362,s402,s976,s796,s692,s321,s264]) ).
cnf(s2079,plain,
( spl0_94
| ~ spl0_168
| ~ spl0_161
| spl0_11
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s815,s1169,s1914,s2078,s112,s2077,s1654,s1926,s1311,s1414,s419,s1856,s931,s1085,s1270,s878,s862,s917,s362,s402,s976,s321,s191,s796]) ).
cnf(s2080,plain,
( ~ spl0_9
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1621,s1257,s1613,s950,s2075,s2079,s419,s1856,s878,s931,s862,s362,s1085,s917,s402,s1270,s2074,s976,s2072,s2066,s321,s796]) ).
cnf(s2081,plain,
( ~ spl0_83
| ~ spl0_259
| ~ spl0_243
| ~ spl0_148
| ~ spl0_178
| spl0_69
| spl0_168
| ~ spl0_154
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1699,s2040]) ).
cnf(s2082,plain,
( ~ spl0_170
| spl0_183 ),
inference(rat,[],[s1140,s1146]) ).
cnf(s2083,plain,
( ~ spl0_243
| ~ spl0_83
| ~ spl0_148
| ~ spl0_178
| spl0_69
| spl0_168
| ~ spl0_154
| ~ spl0_11
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1764,s1765,s1899,s1768,s1709,s552,s1500,s2081,s2040,s812,s1342,s421,s384,s1134,s321]) ).
cnf(s2084,plain,
( ~ spl0_178
| spl0_136
| spl0_168
| spl0_161
| ~ spl0_11
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s852,s2083,s2018,s2022,s1128,s2082,s362,s1341,s421,s989,s746,s862,s336,s950,s1125,s1112,s384,s692,s321,s191,s796]) ).
cnf(s2085,plain,
( spl0_136
| spl0_168
| spl0_161
| ~ spl0_11
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1871,s895,s1288,s283,s1164,s852,s135,s2063,s1341,s1113,s2082,s1460,s1772,s2022,s347,s17,s1740,s2037,s417,s2084,s1853,s151,s113,s2007,s1149,s1926,s141,s1577,s341,s1125,s950,s2080,s1112,s384,s934,s746,s862,s336,s191,s692,s796]) ).
cnf(s2086,plain,
( ~ spl0_178
| spl0_69
| ~ spl0_136
| ~ spl0_135
| ~ spl0_133
| ~ spl0_177 ),
inference(rat,[],[s362,s1341,s2042,s421,s321]) ).
cnf(s2087,plain,
( spl0_168
| spl0_161
| ~ spl0_11
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1460,s1834,s2015,s1232,s362,s1114,s2016,s1772,s959,s17,s2030,s417,s2086,s700,s1878,s1484,s151,s1329,s113,s1577,s1302,s1149,s938,s1121,s1926,s1667,s523,s2026,s1613,s2085,s862,s934,s336,s2080,s1112,s384,s746,s264,s321,s692,s574,s191,s796]) ).
cnf(s2088,plain,
( spl0_69
| ~ spl0_148
| spl0_155
| ~ spl0_331
| spl0_161
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s2053,s812,s2043,s1915,s1143,s112,s931,s1161,s2013,s523,s1613,s1836,s341,s2058,s1303,s141,s1422,s1325,s940,s2016,s107,s1112,s384,s796,s692,s191,s264]) ).
cnf(s2089,plain,
( spl0_161
| ~ spl0_11
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1772,s1114,s17,s1232,s417,s1834,s421,s323,s2020,s1122,s2088,s362,s1115,s2031,s1270,s2087,s411,s2080,s1112,s384,s264,s191,s321]) ).
cnf(s2090,plain,
( ~ spl0_11
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1462,s1482,s1652,s1400,s1783,s950,s825,s1044,s523,s1869,s931,s419,s279,s947,s533,s852,s812,s959,s991,s1143,s960,s2065,s1491,s1489,s1121,s349,s2061,s2060,s348,s989,s1478,s976,s2089,s1112,s384,s4,s2080,s796,s692,s321,s264]) ).
cnf(s2091,plain,
( spl0_136
| spl0_161
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1390,s1490,s805,s1288,s1340,s1164,s1803,s2076,s938,s1318,s1413,s1325,s1926,s2082,s141,s2068,s341,s421,s1311,s1175,s1270,s2067,s2090,s321,s796,s692,s191]) ).
cnf(s2092,plain,
( ~ spl0_75
| ~ spl0_327
| spl0_161
| spl0_11
| ~ spl0_4 ),
inference(rat,[],[s1390,s1490,s805,s1288,s1340,s1164,s2069,s1803,s938,s1318,s1325,s1926,s421,s1311,s1175,s1270,s2067,s321,s796,s692]) ).
cnf(s2093,plain,
( spl0_161
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s362,s2013,s1115,s1348,s1339,s327,s1654,s1303,s2092,s1621,s751,s1613,s2091,s1270,s421,s1311,s2067,s1173,s1175,s1894,s8,s2090,s6,s2080,s321,s191]) ).
cnf(s2094,plain,
( spl0_256
| spl0_168
| spl0_11
| ~ spl0_4 ),
inference(rat,[],[s1204,s805,s1174,s1010,s959,s914,s1464,s796]) ).
cnf(s2095,plain,
( ~ spl0_94
| ~ spl0_137
| ~ spl0_256
| ~ spl0_161 ),
inference(rat,[],[s1490,s1400,s1783,s1288,s1178,s852,s991,s976,s321,s692]) ).
cnf(s2096,plain,
( spl0_94
| spl0_168
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1182,s1176,s1268,s1654,s161,s1585,s1111,s1489,s2077,s1926,s1894,s8,s6,s2080,s922,s914,s1464,s2090,s191,s264]) ).
cnf(s2097,plain,
( spl0_168
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1625,s1491,s1257,s1187,s950,s2095,s2096,s2094,s1464,s2090,s976,s2093,s264,s796]) ).
cnf(s2098,plain,
( ~ spl0_336
| ~ spl0_168
| ~ spl0_161
| ~ spl0_7
| ~ spl0_8 ),
inference(rat,[],[s1165,s348,s298,s1478,s1115,s862,s917,s976,s264,s796]) ).
cnf(s2099,plain,
( spl0_150
| ~ spl0_306
| ~ spl0_74
| ~ spl0_242
| ~ spl0_85
| ~ spl0_177
| ~ spl0_246
| ~ spl0_82
| ~ spl0_78
| ~ spl0_134 ),
inference(rat,[],[s806,s1914,s820,s1243,s331,s1431,s895,s191]) ).
cnf(s2100,plain,
( ~ spl0_150
| ~ spl0_85
| ~ spl0_178
| ~ spl0_281
| ~ spl0_246
| ~ spl0_100
| spl0_83
| spl0_75
| ~ spl0_132
| ~ spl0_331
| ~ spl0_5
| ~ spl0_7
| spl0_9
| ~ spl0_4 ),
inference(rat,[],[s1914,s812,s2027,s1855,s876,s1915,s1585,s1351,s1165,s1425,s280,s348,s379,s327,s4,s112,s1311,s692,s264]) ).
cnf(s2101,plain,
( ~ spl0_178
| ~ spl0_260
| ~ spl0_281
| ~ spl0_264
| ~ spl0_246
| ~ spl0_100
| spl0_83
| spl0_75
| ~ spl0_137
| ~ spl0_132
| ~ spl0_134
| ~ spl0_331
| ~ spl0_183
| ~ spl0_5
| ~ spl0_7
| spl0_9
| ~ spl0_4 ),
inference(rat,[],[s855,s107,s1841,s2099,s1854,s805,s712,s1694,s940,s552,s1586,s1243,s1410,s1312,s1378,s1431,s1050,s1041,s895,s1783,s2100,s852,s2076,s1654,s1413,s1414,s421,s1311,s141,s110,s112,s796,s627,s264,s321,s191,s692]) ).
cnf(s2102,plain,
( ~ spl0_330
| ~ spl0_85
| ~ spl0_69
| ~ spl0_163
| ~ spl0_78
| ~ spl0_137
| ~ spl0_7 ),
inference(rat,[],[s855,s552,s1231,s1312,s321]) ).
cnf(s2103,plain,
( ~ spl0_137
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s852,s947,s1728,s419,s1869,s812,s1186,s1193,s2102,s1336,s907,s1654,s1595,s1892,s1764,s19,s1682,s747,s1496,s2101,s554,s804,s700,s825,s1180,s1203,s1913,s1030,s1176,s1268,s1416,s161,s1111,s1887,s110,s141,s2077,s1926,s2075,s1894,s6,s862,s917,s976,s931,s1085,s1270,s2098,s2097,s2093,s8,s2090,s4,s2080,s692,s599,s191,s321,s796]) ).
cnf(s2104,plain,
( ~ spl0_94
| ~ spl0_85
| ~ spl0_136
| ~ spl0_168
| ~ spl0_161
| ~ spl0_7 ),
inference(rat,[],[s940,s1625,s1803,s1166,s1382,s1050,s895,s1318,s1178,s862,s917,s931,s1085,s1270,s110,s1187,s976,s747,s1621,s1613,s264,s191,s796]) ).
cnf(s2105,plain,
( spl0_143
| spl0_178
| ~ spl0_132
| ~ spl0_134 ),
inference(rat,[],[s419,s878,s1856,s362,s321]) ).
cnf(s2106,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s419,s947,s1869,s812,s1914,s2027,s876,s1585,s2105,s825,s1030,s1416,s161,s1111,s112,s2077,s2104,s852,s907,s1621,s2050,s1257,s1187,s1613,s950,s2103,s931,s862,s1085,s917,s1270,s2097,s976,s2093,s1894,s8,s2090,s6,s2080,s796,s692]) ).
cnf(s2107,plain,
( spl0_9
| spl0_161
| spl0_168
| ~ spl0_3 ),
inference(rat,[],[s1886,s1915,s6,s1521,s1156,s1154,s746,s931,s864,s1511,s1550,s796]) ).
cnf(s2108,plain,
( ~ spl0_69
| ~ spl0_9
| ~ spl0_336
| ~ spl0_3 ),
inference(rat,[],[s1506,s156]) ).
cnf(s2109,plain,
( spl0_161
| spl0_168
| ~ spl0_11
| ~ spl0_3 ),
inference(rat,[],[s529,s938,s16,s1879,s155,s1149,s1559,s1880,s1613,s950,s2025,s2108,s533,s399,s2107,s989,s2082,s746,s1511,s1112,s384,s349,s1156,s1154,s1550,s796,s321]) ).
cnf(s2110,plain,
( spl0_9
| ~ spl0_132
| spl0_109
| ~ spl0_331
| ~ spl0_157
| ~ spl0_3 ),
inference(rat,[],[s279,s533,s4,s1521,s321]) ).
cnf(s2111,plain,
( spl0_168
| ~ spl0_11
| ~ spl0_3 ),
inference(rat,[],[s1704,s2007,s1178,s1149,s1880,s950,s1863,s2037,s1577,s1915,s2108,s399,s2110,s931,s348,s989,s1085,s1478,s976,s2109,s1156,s1154,s349,s1550,s1112,s384,s796,s191,s264]) ).
cnf(s2112,plain,
( spl0_161
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s1396,s872,s1803,s876,s1111,s938,s1318,s1559,s523,s1880,s1187,s1613,s950,s2025,s2108,s864,s4,s931,s300,s2105,s862,s747,s917,s989,s1140,s2082,s746,s1511,s1115,s2111,s2,s2106,s1112,s384,s692,s796]) ).
cnf(s2113,plain,
( ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s989,s2060,s976,s2112,s2111,s1112,s384,s2,s2106]) ).
cnf(s2114,plain,
( ~ spl0_178
| spl0_181 ),
inference(rat,[],[s421,s1311]) ).
cnf(s2115,plain,
( spl0_142
| ~ spl0_80
| ~ spl0_327
| spl0_109
| ~ spl0_132
| ~ spl0_10 ),
inference(rat,[],[s862,s1667,s324,s941,s796]) ).
cnf(s2116,plain,
( spl0_161
| spl0_168
| ~ spl0_2 ),
inference(rat,[],[s959,s914,s1166,s2115,s110,s1187,s1613,s950,s2025,s747,s2114,s2108,s1460,s931,s1494,s1020,s961,s864,s2082,s2107,s746,s1511,s8,s5,s2113,s1154,s1550,s2,s2106,s796]) ).
cnf(s2117,plain,
( ~ spl0_137
| spl0_363
| ~ spl0_355
| spl0_170
| ~ spl0_331
| ~ spl0_157 ),
inference(rat,[],[s1325,s940,s141,s1501,s1681,s1916,s264]) ).
cnf(s2118,plain,
( ~ spl0_178
| spl0_168
| ~ spl0_2 ),
inference(rat,[],[s1704,s2007,s1178,s1621,s1880,s1613,s950,s2117,s1717,s1863,s1577,s1915,s1403,s2108,s2073,s1020,s2110,s1478,s1514,s2114,s1311,s349,s1866,s931,s1085,s2116,s1156,s1154,s1550,s2,s2106,s796,s191]) ).
cnf(s2119,plain,
( ~ spl0_9
| ~ spl0_137
| spl0_178
| ~ spl0_161
| ~ spl0_343
| ~ spl0_3 ),
inference(rat,[],[s2037,s348,s2108,s1494,s339,s264]) ).
cnf(s2120,plain,
( spl0_9
| spl0_168
| ~ spl0_2 ),
inference(rat,[],[s630,s1394,s938,s1178,s1325,s1926,s1654,s2007,s862,s907,s1341,s1514,s1595,s268,s1460,s1478,s1892,s398,s2110,s6,s1521,s8,s5,s2113,s349,s931,s1085,s2116,s1156,s1154,s1550,s2,s2106,s747,s19,s1496,s2118,s191,s796]) ).
cnf(s2121,plain,
( spl0_168
| ~ spl0_2 ),
inference(rat,[],[s938,s278,s1879,s112,s1178,s1559,s1880,s1613,s950,s2119,s2120,s1403,s1510,s2118,s1866,s931,s1085,s2116,s1156,s1154,s349,s1550,s2,s2106,s8,s2113,s796]) ).
cnf(s2122,plain,
( ~ spl0_178
| ~ spl0_170
| ~ spl0_2 ),
inference(rat,[],[s1894,s11,s6,s1525,s1020,s2114,s2,s2106,s8,s2113,s1140]) ).
cnf(s2123,plain,
( spl0_161
| ~ spl0_2 ),
inference(rat,[],[s299,s112,s1318,s1559,s1880,s1613,s1165,s950,s348,s2025,s1460,s2108,s1494,s1020,s402,s6,s1892,s1201,s19,s417,s1496,s2122,s862,s917,s1140,s2082,s746,s1511,s2,s2106,s8,s2113,s2121,s796,s264]) ).
cnf(s2124,plain,
( ~ spl0_137
| spl0_100
| ~ spl0_2 ),
inference(rat,[],[s339,s324,s6,s1410,s1894,s938,s161,s1879,s1111,s141,s2077,s1926,s2075,s2,s2106,s8,s5,s2113,s1270,s862,s917,s976,s2123,s2121,s796]) ).
cnf(s2125,plain,
( ~ spl0_94
| ~ spl0_99
| ~ spl0_2 ),
inference(rat,[],[s1857,s895,s1318,s1178,s862,s917,s976,s2123,s2121,s191,s796]) ).
cnf(s2126,plain,
( spl0_254
| ~ spl0_9
| ~ spl0_178
| ~ spl0_2 ),
inference(rat,[],[s809,s1373,s552,s1374,s1836,s1030,s825,s1428,s1467,s5,s2007,s1888,s1154,s1880,s2,s2106,s981,s112,s2077,s2125,s151,s113,s1621,s1613,s1577,s751,s950,s2124,s1269,s2122,s2114,s931,s1085,s1270,s1165,s348,s339,s2123,s402,s2121,s8,s2113,s321,s692,s264,s796,s191]) ).
cnf(s2127,plain,
( ~ spl0_9
| ~ spl0_178
| ~ spl0_2 ),
inference(rat,[],[s1209,s805,s1001,s1204,s815,s2126,s959,s2016,s362,s324,s402,s339,s5,s2113,s862,s917,s1311,s938,s1879,s2077,s1270,s2121,s852,s1569,s1155,s1880,s2125,s151,s113,s1621,s1613,s1577,s751,s2114,s950,s2124,s1269,s2122,s976,s2123,s2,s2106,s796,s321,s692,s191]) ).
cnf(s2128,plain,
( ~ spl0_178
| ~ spl0_2 ),
inference(rat,[],[s6,s2127,s1894,s161,s1111,s2077,s2125,s151,s113,s1577,s1621,s751,s1187,s1613,s950,s2124,s1269,s2122,s2114,s8,s2113,s976,s2123,s191,s796]) ).
cnf(s2129,plain,
( spl0_94
| ~ spl0_2 ),
inference(rat,[],[s1050,s327,s110,s2077,s1926,s1894,s6,s324,s398,s1521,s402,s2105,s931,s1085,s2,s2106,s1270,s8,s747,s2128,s5,s2113,s862,s917,s976,s2123,s2121,s796]) ).
cnf(s2130,plain,
~ spl0_2,
inference(rat,[],[s1187,s1654,s950,s1522,s2075,s2129,s1595,s1892,s6,s402,s19,s2105,s1496,s2128,s862,s931,s917,s1085,s976,s2123,s1270,s2121,s2113,s2,s2106,s191,s796]) ).
cnf(s2131,plain,
spl0_1,
inference(rat,[],[s1,s2130]) ).
cnf(s2133,plain,
spl0_83,
inference(rat,[],[s1808,s2131]) ).
cnf(s2135,plain,
spl0_170,
inference(rat,[],[s1151,s2131]) ).
cnf(s2136,plain,
spl0_9,
inference(rat,[],[s1150,s2131]) ).
cnf(s2138,plain,
~ spl0_69,
inference(rat,[],[s156,s2136,s2133]) ).
cnf(s2140,plain,
~ spl0_327,
inference(rat,[],[s1559,s2135,s2133]) ).
cnf(s2142,plain,
~ spl0_181,
inference(rat,[],[s1020,s2135,s2136]) ).
cnf(s2146,plain,
~ spl0_136,
inference(rat,[],[s1613,s2140]) ).
cnf(s2147,plain,
~ spl0_109,
inference(rat,[],[s1460,s2142]) ).
cnf(s2148,plain,
~ spl0_178,
inference(rat,[],[s2114,s2142]) ).
cnf(s2150,plain,
spl0_137,
inference(rat,[],[s950,s796,s2146]) ).
cnf(s2151,plain,
spl0_144,
inference(rat,[],[s348,s264,s2147]) ).
cnf(s2158,plain,
$false,
inference(rat,[],[s2037,s2148,s2138,s2150,s2151]) ).
thf(f21465,plain,
$false,
inference(avatar_sat_refutation,[],[s2158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA134^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 19:00:42 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.33 % (3783191)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.19/0.33 % (3783198)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=334582031:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.19/0.33 % (3783198)Instruction limit reached!
% 0.19/0.33 % (3783198)------------------------------
% 0.19/0.33 % (3783198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (3783198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (3783198)CaDiCaL version: 2.1.3
% 0.19/0.33 % (3783198)Termination reason: Instruction limit
% 0.19/0.33 % (3783198)Termination phase: Saturation
% 0.19/0.33 % (3783198)Time elapsed: 0.001 s
% 0.19/0.33 % (3783198)Peak memory usage: 12 MB
% 0.19/0.33 % (3783198)Instructions burned: 4 (million)
% 0.19/0.33 % (3783202)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.19/0.33 % (3783202)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.19/0.33 % (3783196)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1070756706:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.19/0.33 % (3783197)lrs+10_16_si=on:nwc=1.5:random_seed=3832398706:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.19/0.33 % (3783201)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4207645055:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.19/0.33 % (3783199)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=1054281940:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.19/0.33 % (3783200)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3239254299:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.19/0.33 % (3783202)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=2966674011:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.19/0.33 % (3783204)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=375190887:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.19/0.33 % (3783204)Instruction limit reached!
% 0.19/0.33 % (3783204)------------------------------
% 0.19/0.33 % (3783204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (3783204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (3783204)CaDiCaL version: 2.1.3
% 0.19/0.33 % (3783204)Termination reason: Instruction limit
% 0.19/0.33 % (3783204)Termination phase: Saturation
% 0.19/0.33 % (3783204)Time elapsed: 0.001 s
% 0.19/0.33 % (3783204)Peak memory usage: 12 MB
% 0.19/0.33 % (3783204)Instructions burned: 2 (million)
% 0.19/0.33 % (3783197)Instruction limit reached!
% 0.19/0.33 % (3783197)------------------------------
% 0.19/0.33 % (3783197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (3783197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (3783197)CaDiCaL version: 2.1.3
% 0.19/0.33 % (3783197)Termination reason: Instruction limit
% 0.19/0.33 % (3783197)Termination phase: Saturation
% 0.19/0.33 % (3783197)Time elapsed: 0.009 s
% 0.19/0.33 % (3783197)Peak memory usage: 12 MB
% 0.19/0.33 % (3783197)Instructions burned: 18 (million)
% 0.19/0.33 % (3783200)Instruction limit reached!
% 0.19/0.33 % (3783200)------------------------------
% 0.19/0.33 % (3783200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (3783200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (3783200)CaDiCaL version: 2.1.3
% 0.19/0.33 % (3783200)Termination reason: Instruction limit
% 0.19/0.33 % (3783200)Termination phase: Saturation
% 0.19/0.33 % (3783200)Time elapsed: 0.012 s
% 0.19/0.33 % (3783200)Peak memory usage: 11 MB
% 0.19/0.33 % (3783200)Instructions burned: 24 (million)
% 0.19/0.33 % (3783212)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1309788968:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.19/0.36 % (3783212)Instruction limit reached!
% 0.19/0.36 % (3783212)------------------------------
% 0.19/0.36 % (3783212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.36 % (3783212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.36 % (3783212)CaDiCaL version: 2.1.3
% 0.19/0.36 % (3783212)Termination reason: Instruction limit
% 0.19/0.36 % (3783212)Termination phase: Saturation
% 0.19/0.36 % (3783212)Time elapsed: 0.002 s
% 0.19/0.36 % (3783212)Peak memory usage: 11 MB
% 0.19/0.36 % (3783212)Instructions burned: 5 (million)
% 0.19/0.36 % (3783213)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.19/0.36 % (3783213)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2088933760:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.19/0.36 % (3783216)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.19/0.36 % (3783216)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.19/0.36 % (3783214)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2409106074:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.19/0.36 % (3783216)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=350475498:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.19/0.36 % (3783213)Instruction limit reached!
% 0.19/0.36 % (3783213)------------------------------
% 0.19/0.36 % (3783213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.36 % (3783213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.36 % (3783213)CaDiCaL version: 2.1.3
% 0.19/0.36 % (3783213)Termination reason: Instruction limit
% 0.19/0.36 % (3783213)Termination phase: Saturation
% 0.19/0.36 % (3783213)Time elapsed: 0.004 s
% 0.19/0.36 % (3783213)Peak memory usage: 12 MB
% 0.19/0.36 % (3783213)Instructions burned: 7 (million)
% 0.19/0.36 % (3783201)Instruction limit reached!
% 0.19/0.36 % (3783201)------------------------------
% 0.19/0.36 % (3783201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.36 % (3783201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.36 % (3783201)CaDiCaL version: 2.1.3
% 0.19/0.36 % (3783201)Termination reason: Instruction limit
% 0.19/0.36 % (3783201)Termination phase: Saturation
% 0.19/0.36 % (3783201)Time elapsed: 0.037 s
% 0.19/0.36 % (3783201)Peak memory usage: 12 MB
% 0.19/0.36 % (3783201)Instructions burned: 75 (million)
% 0.19/0.36 % (3783196)Instruction limit reached!
% 0.19/0.36 % (3783196)------------------------------
% 0.19/0.36 % (3783196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.36 % (3783196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.36 % (3783196)CaDiCaL version: 2.1.3
% 0.19/0.36 % (3783196)Termination reason: Instruction limit
% 0.19/0.36 % (3783196)Termination phase: Saturation
% 0.19/0.36 % (3783196)Time elapsed: 0.038 s
% 0.19/0.36 % (3783196)Peak memory usage: 12 MB
% 0.19/0.36 % (3783196)Instructions burned: 87 (million)
% 0.19/0.36 % (3783216)Instruction limit reached!
% 0.19/0.36 % (3783216)------------------------------
% 0.19/0.36 % (3783216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.36 % (3783216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.36 % (3783216)CaDiCaL version: 2.1.3
% 0.19/0.36 % (3783216)Termination reason: Instruction limit
% 0.19/0.36 % (3783216)Termination phase: Saturation
% 0.19/0.36 % (3783216)Time elapsed: 0.007 s
% 0.19/0.36 % (3783216)Peak memory usage: 12 MB
% 0.19/0.36 % (3783216)Instructions burned: 29 (million)
% 0.19/0.36 % (3783214)Instruction limit reached!
% 0.19/0.36 % (3783214)------------------------------
% 0.19/0.36 % (3783214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.36 % (3783214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.36 % (3783214)CaDiCaL version: 2.1.3
% 0.19/0.36 % (3783214)Termination reason: Instruction limit
% 0.19/0.36 % (3783214)Termination phase: Saturation
% 0.93/0.38 % (3783214)Time elapsed: 0.008 s
% 0.93/0.38 % (3783214)Peak memory usage: 12 MB
% 0.93/0.38 % (3783214)Instructions burned: 12 (million)
% 0.93/0.38 % (3783223)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2543240776:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.93/0.38 % (3783223)Refutation not found, incomplete strategy
% 0.93/0.38 % (3783223)------------------------------
% 0.93/0.38 % (3783223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.38 % (3783223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.38 % (3783223)CaDiCaL version: 2.1.3
% 0.93/0.38 % (3783223)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.38 % (3783223)Time elapsed: 0.0000 s
% 0.93/0.38 % (3783223)Peak memory usage: 11 MB
% 0.93/0.38 % (3783223)------------------------------
% 0.93/0.38 % (3783223)------------------------------
% 0.93/0.38 % (3783220)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=1324357643:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.93/0.38 % (3783222)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.93/0.38 % (3783221)lrs+10_1_si=on:cs=on:random_seed=2718181645:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.93/0.38 % (3783222)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=2022564368:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.93/0.38 % (3783224)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1588299556:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.93/0.38 % (3783224)Refutation not found, incomplete strategy
% 0.93/0.38 % (3783224)------------------------------
% 0.93/0.38 % (3783224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.38 % (3783224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.38 % (3783224)CaDiCaL version: 2.1.3
% 0.93/0.38 % (3783224)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.38 % (3783224)Time elapsed: 0.0000 s
% 0.93/0.38 % (3783224)Peak memory usage: 11 MB
% 0.93/0.38 % (3783222)Instruction limit reached!
% 0.93/0.38 % (3783222)------------------------------
% 0.93/0.38 % (3783222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.38 % (3783222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.38 % (3783222)CaDiCaL version: 2.1.3
% 0.93/0.38 % (3783222)Termination reason: Instruction limit
% 0.93/0.38 % (3783222)Termination phase: Saturation
% 0.93/0.38 % (3783222)Time elapsed: 0.002 s
% 0.93/0.38 % (3783222)Peak memory usage: 11 MB
% 0.93/0.38 % (3783222)Instructions burned: 3 (million)
% 0.93/0.38 % (3783224)------------------------------
% 0.93/0.38 % (3783224)------------------------------
% 0.93/0.38 % (3783221)Instruction limit reached!
% 0.93/0.38 % (3783221)------------------------------
% 0.93/0.38 % (3783221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.38 % (3783221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.38 % (3783221)CaDiCaL version: 2.1.3
% 0.93/0.38 % (3783221)Termination reason: Instruction limit
% 0.93/0.38 % (3783221)Termination phase: Saturation
% 0.93/0.38 % (3783221)Time elapsed: 0.005 s
% 0.93/0.38 % (3783221)Peak memory usage: 12 MB
% 0.93/0.38 % (3783221)Instructions burned: 9 (million)
% 0.93/0.38 % (3783226)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3640733140:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.93/0.38 % (3783202)Instruction limit reached!
% 0.93/0.38 % (3783202)------------------------------
% 0.93/0.38 % (3783202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.38 % (3783226)Refutation not found, incomplete strategy
% 0.93/0.38 % (3783226)------------------------------
% 0.93/0.38 % (3783226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.38 % (3783202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.38 % (3783226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (3783226)CaDiCaL version: 2.1.3
% 0.93/0.41 % (3783202)CaDiCaL version: 2.1.3
% 0.93/0.41 % (3783226)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.41 % (3783226)Time elapsed: 0.0000 s
% 0.93/0.41 % (3783202)Termination reason: Instruction limit
% 0.93/0.41 % (3783202)Termination phase: Saturation
% 0.93/0.41 % (3783226)Peak memory usage: 11 MB
% 0.93/0.41 % (3783202)Time elapsed: 0.061 s
% 0.93/0.41 % (3783202)Peak memory usage: 12 MB
% 0.93/0.41 % (3783202)Instructions burned: 157 (million)
% 0.93/0.41 % (3783226)------------------------------
% 0.93/0.41 % (3783226)------------------------------
% 0.93/0.41 % (3783232)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2366915654:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.93/0.41 % (3783232)Refutation not found, incomplete strategy
% 0.93/0.41 % (3783232)------------------------------
% 0.93/0.41 % (3783232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (3783232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (3783232)CaDiCaL version: 2.1.3
% 0.93/0.41 % (3783232)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.41 % (3783232)Time elapsed: 0.0000 s
% 0.93/0.41 % (3783232)Peak memory usage: 11 MB
% 0.93/0.41 % (3783232)------------------------------
% 0.93/0.41 % (3783232)------------------------------
% 0.93/0.41 % (3783231)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=797486365:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.93/0.41 % (3783234)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3457179201:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.93/0.41 % (3783235)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1157412619:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.93/0.41 % (3783236)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3345932646:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.93/0.41 % (3783235)Refutation not found, incomplete strategy
% 0.93/0.41 % (3783235)------------------------------
% 0.93/0.41 % (3783235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (3783235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (3783235)CaDiCaL version: 2.1.3
% 0.93/0.41 % (3783235)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.41 % (3783235)Time elapsed: 0.0000 s
% 0.93/0.41 % (3783235)Peak memory usage: 11 MB
% 0.93/0.41 % (3783235)------------------------------
% 0.93/0.41 % (3783235)------------------------------
% 0.93/0.41 % (3783238)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=832586312:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.93/0.41 % (3783234)Instruction limit reached!
% 0.93/0.41 % (3783234)------------------------------
% 0.93/0.41 % (3783234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (3783234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (3783234)CaDiCaL version: 2.1.3
% 0.93/0.41 % (3783234)Termination reason: Instruction limit
% 0.93/0.41 % (3783234)Termination phase: Saturation
% 0.93/0.41 % (3783234)Time elapsed: 0.009 s
% 0.93/0.41 % (3783234)Peak memory usage: 12 MB
% 0.93/0.41 % (3783234)Instructions burned: 18 (million)
% 0.93/0.41 % (3783231)Instruction limit reached!
% 0.93/0.41 % (3783231)------------------------------
% 0.93/0.41 % (3783231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (3783231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (3783231)CaDiCaL version: 2.1.3
% 0.93/0.41 % (3783231)Termination reason: Instruction limit
% 0.93/0.41 % (3783231)Termination phase: Saturation
% 0.93/0.41 % (3783231)Time elapsed: 0.010 s
% 0.93/0.41 % (3783231)Peak memory usage: 12 MB
% 0.93/0.41 % (3783231)Instructions burned: 16 (million)
% 0.93/0.41 % (3783238)Instruction limit reached!
% 0.93/0.41 % (3783238)------------------------------
% 0.93/0.41 % (3783238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (3783238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (3783238)CaDiCaL version: 2.1.3
% 0.93/0.44 % (3783238)Termination reason: Instruction limit
% 0.93/0.44 % (3783238)Termination phase: Saturation
% 0.93/0.44 % (3783238)Time elapsed: 0.007 s
% 0.93/0.44 % (3783238)Peak memory usage: 12 MB
% 0.93/0.44 % (3783238)Instructions burned: 27 (million)
% 0.93/0.44 % (3783220)Instruction limit reached!
% 0.93/0.44 % (3783220)------------------------------
% 0.93/0.44 % (3783220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.44 % (3783220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.44 % (3783220)CaDiCaL version: 2.1.3
% 0.93/0.44 % (3783220)Termination reason: Instruction limit
% 0.93/0.44 % (3783220)Termination phase: Saturation
% 0.93/0.44 % (3783220)Time elapsed: 0.041 s
% 0.93/0.44 % (3783220)Peak memory usage: 12 MB
% 0.93/0.44 % (3783220)Instructions burned: 86 (million)
% 0.93/0.44 % (3783236)Instruction limit reached!
% 0.93/0.44 % (3783236)------------------------------
% 0.93/0.44 % (3783236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.44 % (3783236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.44 % (3783236)CaDiCaL version: 2.1.3
% 0.93/0.44 % (3783236)Termination reason: Instruction limit
% 0.93/0.44 % (3783236)Termination phase: Saturation
% 0.93/0.44 % (3783236)Time elapsed: 0.015 s
% 0.93/0.44 % (3783236)Peak memory usage: 12 MB
% 0.93/0.44 % (3783236)Instructions burned: 27 (million)
% 0.93/0.44 % (3783247)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=1064786236:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.93/0.44 % (3783245)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.93/0.44 % (3783245)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.93/0.44 % (3783243)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1079549728:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.93/0.44 % (3783246)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.93/0.44 % (3783245)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=1224533973:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.93/0.44 % (3783246)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=3812949286:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.93/0.44 % (3783247)Instruction limit reached!
% 0.93/0.44 % (3783247)------------------------------
% 0.93/0.44 % (3783247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.44 % (3783247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.44 % (3783247)CaDiCaL version: 2.1.3
% 0.93/0.44 % (3783247)Termination reason: Instruction limit
% 0.93/0.44 % (3783247)Termination phase: Saturation
% 0.93/0.44 % (3783247)Time elapsed: 0.009 s
% 0.93/0.44 % (3783247)Peak memory usage: 12 MB
% 0.93/0.44 % (3783247)Instructions burned: 35 (million)
% 0.93/0.44 % (3783248)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2602341558:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.93/0.44 % (3783246)Instruction limit reached!
% 0.93/0.44 % (3783246)------------------------------
% 0.93/0.44 % (3783246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.44 % (3783246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.44 % (3783246)CaDiCaL version: 2.1.3
% 0.93/0.44 % (3783246)Termination reason: Instruction limit
% 0.93/0.44 % (3783246)Termination phase: Saturation
% 0.93/0.44 % (3783246)Time elapsed: 0.005 s
% 0.93/0.44 % (3783246)Peak memory usage: 12 MB
% 0.93/0.44 % (3783246)Instructions burned: 8 (million)
% 0.93/0.44 % (3783249)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2449702728:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.93/0.44 % (3783245)Instruction limit reached!
% 0.93/0.44 % (3783245)------------------------------
% 0.93/0.44 % (3783245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.48 % (3783245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.48 % (3783245)CaDiCaL version: 2.1.3
% 1.60/0.48 % (3783245)Termination reason: Instruction limit
% 1.60/0.48 % (3783245)Termination phase: Saturation
% 1.60/0.48 % (3783245)Time elapsed: 0.009 s
% 1.60/0.48 % (3783245)Peak memory usage: 12 MB
% 1.60/0.48 % (3783245)Instructions burned: 15 (million)
% 1.60/0.48 % (3783248)Instruction limit reached!
% 1.60/0.48 % (3783248)------------------------------
% 1.60/0.48 % (3783248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.48 % (3783248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.48 % (3783248)CaDiCaL version: 2.1.3
% 1.60/0.48 % (3783248)Termination reason: Instruction limit
% 1.60/0.48 % (3783248)Termination phase: Saturation
% 1.60/0.48 % (3783248)Time elapsed: 0.005 s
% 1.60/0.48 % (3783248)Peak memory usage: 12 MB
% 1.60/0.48 % (3783248)Instructions burned: 9 (million)
% 1.60/0.48 % (3783255)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3534564369:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.60/0.48 % (3783249)Instruction limit reached!
% 1.60/0.48 % (3783249)------------------------------
% 1.60/0.48 % (3783249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.48 % (3783249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.48 % (3783249)CaDiCaL version: 2.1.3
% 1.60/0.48 % (3783249)Termination reason: Instruction limit
% 1.60/0.48 % (3783249)Termination phase: Saturation
% 1.60/0.48 % (3783249)Time elapsed: 0.010 s
% 1.60/0.48 % (3783249)Peak memory usage: 11 MB
% 1.60/0.48 % (3783249)Instructions burned: 24 (million)
% 1.60/0.48 % (3783255)Instruction limit reached!
% 1.60/0.48 % (3783255)------------------------------
% 1.60/0.48 % (3783255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.48 % (3783255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.48 % (3783255)CaDiCaL version: 2.1.3
% 1.60/0.48 % (3783255)Termination reason: Instruction limit
% 1.60/0.48 % (3783255)Termination phase: Saturation
% 1.60/0.48 % (3783255)Time elapsed: 0.005 s
% 1.60/0.48 % (3783255)Peak memory usage: 12 MB
% 1.60/0.48 % (3783255)Instructions burned: 20 (million)
% 1.60/0.48 % (3783243)Instruction limit reached!
% 1.60/0.48 % (3783243)------------------------------
% 1.60/0.48 % (3783243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.48 % (3783243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.48 % (3783243)CaDiCaL version: 2.1.3
% 1.60/0.48 % (3783243)Termination reason: Instruction limit
% 1.60/0.48 % (3783243)Termination phase: Saturation
% 1.60/0.48 % (3783243)Time elapsed: 0.025 s
% 1.60/0.48 % (3783243)Peak memory usage: 12 MB
% 1.60/0.48 % (3783243)Instructions burned: 61 (million)
% 1.60/0.48 % (3783256)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2487827644:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.60/0.48 % (3783262)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.60/0.48 % (3783258)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1770852829:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.60/0.48 % (3783259)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=808159749:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.60/0.48 % (3783259)Refutation not found, incomplete strategy
% 1.60/0.48 % (3783259)------------------------------
% 1.60/0.48 % (3783259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.48 % (3783259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.48 % (3783259)CaDiCaL version: 2.1.3
% 1.60/0.48 % (3783259)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.48 % (3783259)Time elapsed: 0.001 s
% 1.60/0.48 % (3783259)Peak memory usage: 11 MB
% 1.60/0.48 % (3783262)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=987559045:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.60/0.48 % (3783259)------------------------------
% 1.60/0.48 % (3783259)------------------------------
% 1.60/0.48 % (3783262)Instruction limit reached!
% 1.60/0.53 % (3783262)------------------------------
% 1.60/0.53 % (3783262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.53 % (3783262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.53 % (3783262)CaDiCaL version: 2.1.3
% 1.60/0.53 % (3783262)Termination reason: Instruction limit
% 1.60/0.53 % (3783262)Termination phase: Saturation
% 1.60/0.53 % (3783262)Time elapsed: 0.003 s
% 1.60/0.53 % (3783262)Peak memory usage: 12 MB
% 1.60/0.53 % (3783262)Instructions burned: 10 (million)
% 1.60/0.53 % (3783261)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2275882511:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.60/0.53 % (3783263)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3824196612:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.60/0.53 % (3783263)Refutation not found, incomplete strategy
% 1.60/0.53 % (3783263)------------------------------
% 1.60/0.53 % (3783263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.53 % (3783263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.53 % (3783263)CaDiCaL version: 2.1.3
% 1.60/0.53 % (3783263)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.53 % (3783263)Time elapsed: 0.001 s
% 1.60/0.53 % (3783263)Peak memory usage: 11 MB
% 1.60/0.53 % (3783269)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.60/0.53 % (3783263)------------------------------
% 1.60/0.53 % (3783263)------------------------------
% 1.60/0.53 % (3783269)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2494658022:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.60/0.53 % (3783269)Refutation not found, incomplete strategy
% 1.60/0.53 % (3783269)------------------------------
% 1.60/0.53 % (3783269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.53 % (3783269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.53 % (3783269)CaDiCaL version: 2.1.3
% 1.60/0.53 % (3783269)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.53 % (3783269)Time elapsed: 0.0000 s
% 1.60/0.53 % (3783269)Peak memory usage: 11 MB
% 1.60/0.53 % (3783269)Instructions burned: 1 (million)
% 1.60/0.53 % (3783269)------------------------------
% 1.60/0.53 % (3783269)------------------------------
% 1.60/0.53 % (3783268)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=102374313:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.60/0.53 % (3783268)Refutation not found, incomplete strategy
% 1.60/0.53 % (3783268)------------------------------
% 1.60/0.53 % (3783268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.53 % (3783268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.53 % (3783268)CaDiCaL version: 2.1.3
% 1.60/0.53 % (3783268)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.53 % (3783268)Time elapsed: 0.001 s
% 1.60/0.53 % (3783268)Peak memory usage: 11 MB
% 1.60/0.53 % (3783268)------------------------------
% 1.60/0.53 % (3783268)------------------------------
% 1.60/0.53 % (3783261)Instruction limit reached!
% 1.60/0.53 % (3783261)------------------------------
% 1.60/0.53 % (3783261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.60/0.53 % (3783272)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2326742618:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.60/0.53 % (3783261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.60/0.53 % (3783261)CaDiCaL version: 2.1.3
% 1.60/0.53 % (3783261)Termination reason: Instruction limit
% 1.60/0.53 % (3783261)Termination phase: Saturation
% 1.60/0.53 % (3783261)Time elapsed: 0.024 s
% 1.60/0.53 % (3783261)Peak memory usage: 12 MB
% 1.60/0.53 % (3783261)Instructions burned: 53 (million)
% 1.60/0.53 % (3783274)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3717522393:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.60/0.53 % (3783274)Refutation not found, incomplete strategy
% 1.60/0.53 % (3783274)------------------------------
% 2.31/0.57 % (3783274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.57 % (3783274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.57 % (3783274)CaDiCaL version: 2.1.3
% 2.31/0.57 % (3783274)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.57 % (3783274)Time elapsed: 0.002 s
% 2.31/0.57 % (3783274)Peak memory usage: 12 MB
% 2.31/0.57 % (3783274)Instructions burned: 2 (million)
% 2.31/0.57 % (3783274)------------------------------
% 2.31/0.57 % (3783274)------------------------------
% 2.31/0.57 % (3783276)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=969489799:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 2.31/0.57 % (3783272)Instruction limit reached!
% 2.31/0.57 % (3783272)------------------------------
% 2.31/0.57 % (3783272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.57 % (3783272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.57 % (3783272)CaDiCaL version: 2.1.3
% 2.31/0.57 % (3783272)Termination reason: Instruction limit
% 2.31/0.57 % (3783272)Termination phase: Saturation
% 2.31/0.57 % (3783272)Time elapsed: 0.011 s
% 2.31/0.57 % (3783272)Peak memory usage: 12 MB
% 2.31/0.57 % (3783272)Instructions burned: 23 (million)
% 2.31/0.57 % (3783258)Instruction limit reached!
% 2.31/0.57 % (3783258)------------------------------
% 2.31/0.57 % (3783258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.57 % (3783258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.57 % (3783258)CaDiCaL version: 2.1.3
% 2.31/0.57 % (3783258)Termination reason: Instruction limit
% 2.31/0.57 % (3783258)Termination phase: Saturation
% 2.31/0.57 % (3783258)Time elapsed: 0.046 s
% 2.31/0.57 % (3783258)Peak memory usage: 13 MB
% 2.31/0.57 % (3783258)Instructions burned: 143 (million)
% 2.31/0.57 % (3783278)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=3807916758:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.31/0.57 % (3783280)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=2959045082:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.31/0.57 % (3783283)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=4206665012:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.31/0.57 % (3783282)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3512216502:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.31/0.57 % (3783282)Refutation not found, incomplete strategy
% 2.31/0.57 % (3783282)------------------------------
% 2.31/0.57 % (3783282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.57 % (3783282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.57 % (3783282)CaDiCaL version: 2.1.3
% 2.31/0.57 % (3783282)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.57 % (3783282)Time elapsed: 0.001 s
% 2.31/0.57 % (3783282)Peak memory usage: 12 MB
% 2.31/0.57 % (3783282)Instructions burned: 1 (million)
% 2.31/0.57 % (3783283)Instruction limit reached!
% 2.31/0.57 % (3783283)------------------------------
% 2.31/0.57 % (3783283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.57 % (3783283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.57 % (3783283)CaDiCaL version: 2.1.3
% 2.31/0.57 % (3783283)Termination reason: Instruction limit
% 2.31/0.57 % (3783283)Termination phase: Saturation
% 2.31/0.57 % (3783283)Time elapsed: 0.006 s
% 2.31/0.57 % (3783283)Peak memory usage: 12 MB
% 2.31/0.57 % (3783283)Instructions burned: 22 (million)
% 2.31/0.57 % (3783282)------------------------------
% 2.31/0.57 % (3783282)------------------------------
% 2.31/0.57 % (3783288)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.31/0.57 % (3783288)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3542305644:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.31/0.61 % (3783199)Instruction limit reached!
% 2.31/0.61 % (3783199)------------------------------
% 2.31/0.61 % (3783199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.61 % (3783199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.61 % (3783199)CaDiCaL version: 2.1.3
% 2.31/0.61 % (3783199)Termination reason: Instruction limit
% 2.31/0.61 % (3783199)Termination phase: Saturation
% 2.31/0.61 % (3783199)Time elapsed: 0.216 s
% 2.31/0.61 % (3783199)Peak memory usage: 13 MB
% 2.31/0.61 % (3783199)Instructions burned: 635 (million)
% 2.31/0.61 % (3783280)Instruction limit reached!
% 2.31/0.61 % (3783280)------------------------------
% 2.31/0.61 % (3783280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.61 % (3783280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.61 % (3783280)CaDiCaL version: 2.1.3
% 2.31/0.61 % (3783280)Termination reason: Instruction limit
% 2.31/0.61 % (3783280)Termination phase: Saturation
% 2.31/0.61 % (3783280)Time elapsed: 0.024 s
% 2.31/0.61 % (3783280)Peak memory usage: 12 MB
% 2.31/0.61 % (3783280)Instructions burned: 47 (million)
% 2.31/0.61 % (3783289)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=980066874:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.31/0.61 % (3783289)Instruction limit reached!
% 2.31/0.61 % (3783289)------------------------------
% 2.31/0.61 % (3783289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.61 % (3783289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.61 % (3783289)CaDiCaL version: 2.1.3
% 2.31/0.61 % (3783289)Termination reason: Instruction limit
% 2.31/0.61 % (3783289)Termination phase: Saturation
% 2.31/0.61 % (3783289)Time elapsed: 0.007 s
% 2.31/0.61 % (3783289)Peak memory usage: 12 MB
% 2.31/0.61 % (3783289)Instructions burned: 14 (million)
% 2.31/0.61 % (3783292)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2439961271:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.31/0.61 % (3783291)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=192602945:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.31/0.61 % (3783292)Refutation not found, incomplete strategy
% 2.31/0.61 % (3783292)------------------------------
% 2.31/0.61 % (3783292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.61 % (3783292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.61 % (3783292)CaDiCaL version: 2.1.3
% 2.31/0.61 % (3783292)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.61 % (3783292)Time elapsed: 0.001 s
% 2.31/0.61 % (3783292)Peak memory usage: 11 MB
% 2.31/0.61 % (3783292)Instructions burned: 1 (million)
% 2.31/0.61 % (3783292)------------------------------
% 2.31/0.61 % (3783292)------------------------------
% 2.31/0.61 % (3783294)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1492237327:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.31/0.61 % (3783288)Instruction limit reached!
% 2.31/0.61 % (3783288)------------------------------
% 2.31/0.61 % (3783288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.61 % (3783288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.61 % (3783288)CaDiCaL version: 2.1.3
% 2.31/0.61 % (3783288)Termination reason: Instruction limit
% 2.31/0.61 % (3783288)Termination phase: Saturation
% 2.31/0.61 % (3783288)Time elapsed: 0.040 s
% 2.31/0.61 % (3783288)Peak memory usage: 12 MB
% 2.31/0.61 % (3783288)Instructions burned: 203 (million)
% 2.31/0.61 % (3783297)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2582642039:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.31/0.61 % (3783299)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=1952257064:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 2.31/0.61 % (3783294)Instruction limit reached!
% 2.31/0.61 % (3783294)------------------------------
% 2.31/0.61 % (3783294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.67 % (3783294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.67 % (3783294)CaDiCaL version: 2.1.3
% 2.65/0.67 % (3783294)Termination reason: Instruction limit
% 2.65/0.67 % (3783294)Termination phase: Saturation
% 2.65/0.67 % (3783294)Time elapsed: 0.016 s
% 2.65/0.67 % (3783294)Peak memory usage: 12 MB
% 2.65/0.67 % (3783294)Instructions burned: 32 (million)
% 2.65/0.67 % (3783291)Instruction limit reached!
% 2.65/0.67 % (3783291)------------------------------
% 2.65/0.67 % (3783291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.67 % (3783291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.67 % (3783291)CaDiCaL version: 2.1.3
% 2.65/0.67 % (3783291)Termination reason: Instruction limit
% 2.65/0.67 % (3783291)Termination phase: Saturation
% 2.65/0.67 % (3783291)Time elapsed: 0.032 s
% 2.65/0.67 % (3783291)Peak memory usage: 12 MB
% 2.65/0.67 % (3783291)Instructions burned: 68 (million)
% 2.65/0.67 % (3783299)Instruction limit reached!
% 2.65/0.67 % (3783299)------------------------------
% 2.65/0.67 % (3783299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.67 % (3783299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.67 % (3783299)CaDiCaL version: 2.1.3
% 2.65/0.67 % (3783299)Termination reason: Instruction limit
% 2.65/0.67 % (3783299)Termination phase: Saturation
% 2.65/0.67 % (3783299)Time elapsed: 0.010 s
% 2.65/0.67 % (3783299)Peak memory usage: 12 MB
% 2.65/0.67 % (3783299)Instructions burned: 38 (million)
% 2.65/0.67 % (3783302)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1567912355:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 2.65/0.67 % (3783304)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3864530942:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.65/0.67 % (3783304)Refutation not found, incomplete strategy
% 2.65/0.67 % (3783304)------------------------------
% 2.65/0.67 % (3783304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.67 % (3783303)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.65/0.67 % (3783304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.67 % (3783304)CaDiCaL version: 2.1.3
% 2.65/0.67 % (3783304)Termination reason: Refutation not found, incomplete strategy
% 2.65/0.67 % (3783304)Time elapsed: 0.0000 s
% 2.65/0.67 % (3783304)Peak memory usage: 12 MB
% 2.65/0.67 % (3783304)------------------------------
% 2.65/0.67 % (3783304)------------------------------
% 2.65/0.67 % (3783302)Refutation not found, incomplete strategy
% 2.65/0.67 % (3783302)------------------------------
% 2.65/0.67 % (3783302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.67 % (3783302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.67 % (3783302)CaDiCaL version: 2.1.3
% 2.65/0.67 % (3783302)Termination reason: Refutation not found, incomplete strategy
% 2.65/0.67 % (3783302)Time elapsed: 0.001 s
% 2.65/0.67 % (3783302)Peak memory usage: 12 MB
% 2.65/0.67 % (3783302)Instructions burned: 1 (million)
% 2.65/0.67 % (3783302)------------------------------
% 2.65/0.67 % (3783302)------------------------------
% 2.65/0.67 % (3783303)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3461974380:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 2.65/0.67 % (3783307)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3632166957:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.65/0.67 % (3783308)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3565764704:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 2.65/0.67 % (3783308)Refutation not found, incomplete strategy
% 2.65/0.67 % (3783308)------------------------------
% 2.65/0.67 % (3783308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.67 % (3783308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.67 % (3783308)CaDiCaL version: 2.1.3
% 2.65/0.67 % (3783308)Termination reason: Refutation not found, incomplete strategy
% 2.65/0.67 % (3783308)Time elapsed: 0.001 s
% 2.65/0.67 % (3783308)Peak memory usage: 12 MB
% 2.65/0.67 % (3783308)------------------------------
% 2.65/0.67 % (3783308)------------------------------
% 2.65/0.67 % (3783297)Instruction limit reached!
% 2.65/0.67 % (3783297)------------------------------
% 3.18/0.72 % (3783297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.18/0.72 % (3783297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/0.72 % (3783297)CaDiCaL version: 2.1.3
% 3.18/0.72 % (3783297)Termination reason: Instruction limit
% 3.18/0.72 % (3783297)Termination phase: Saturation
% 3.18/0.72 % (3783297)Time elapsed: 0.051 s
% 3.18/0.72 % (3783297)Peak memory usage: 12 MB
% 3.18/0.72 % (3783297)Instructions burned: 138 (million)
% 3.18/0.72 % (3783307)Instruction limit reached!
% 3.18/0.72 % (3783307)------------------------------
% 3.18/0.72 % (3783307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.18/0.72 % (3783307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/0.72 % (3783307)CaDiCaL version: 2.1.3
% 3.18/0.72 % (3783307)Termination reason: Instruction limit
% 3.18/0.72 % (3783307)Termination phase: Saturation
% 3.18/0.72 % (3783307)Time elapsed: 0.024 s
% 3.18/0.72 % (3783307)Peak memory usage: 12 MB
% 3.18/0.72 % (3783307)Instructions burned: 99 (million)
% 3.18/0.72 % (3783312)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3926226180:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 3.18/0.72 % (3783312)Refutation not found, incomplete strategy
% 3.18/0.72 % (3783312)------------------------------
% 3.18/0.72 % (3783312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.18/0.72 % (3783312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/0.72 % (3783312)CaDiCaL version: 2.1.3
% 3.18/0.72 % (3783312)Termination reason: Refutation not found, incomplete strategy
% 3.18/0.72 % (3783312)Time elapsed: 0.001 s
% 3.18/0.72 % (3783312)Peak memory usage: 11 MB
% 3.18/0.72 % (3783313)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1698278188:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 3.18/0.72 % (3783312)------------------------------
% 3.18/0.72 % (3783312)------------------------------
% 3.18/0.72 % (3783313)Refutation not found, incomplete strategy
% 3.18/0.72 % (3783313)------------------------------
% 3.18/0.72 % (3783313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.18/0.72 % (3783313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/0.72 % (3783313)CaDiCaL version: 2.1.3
% 3.18/0.72 % (3783313)Termination reason: Refutation not found, incomplete strategy
% 3.18/0.72 % (3783313)Time elapsed: 0.001 s
% 3.18/0.72 % (3783313)Peak memory usage: 12 MB
% 3.18/0.72 % (3783314)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3756174935:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 3.18/0.72 % (3783313)------------------------------
% 3.18/0.72 % (3783313)------------------------------
% 3.18/0.72 % (3783314)Refutation not found, incomplete strategy
% 3.18/0.72 % (3783314)------------------------------
% 3.18/0.72 % (3783314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.18/0.72 % (3783314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/0.72 % (3783314)CaDiCaL version: 2.1.3
% 3.18/0.72 % (3783314)Termination reason: Refutation not found, incomplete strategy
% 3.18/0.72 % (3783314)Time elapsed: 0.0000 s
% 3.18/0.72 % (3783314)Peak memory usage: 11 MB
% 3.18/0.72 % (3783314)Instructions burned: 1 (million)
% 3.18/0.72 % (3783314)------------------------------
% 3.18/0.72 % (3783314)------------------------------
% 3.18/0.72 % (3783320)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2625703370:i=450:rtra=on:ixr=off:ntd=on_2996 on theBenchmark for (2996ds/450Mi)
% 3.18/0.72 % (3783276)Instruction limit reached!
% 3.18/0.72 % (3783276)------------------------------
% 3.18/0.72 % (3783276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.18/0.72 % (3783276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/0.72 % (3783276)CaDiCaL version: 2.1.3
% 3.18/0.72 % (3783276)Termination reason: Instruction limit
% 3.18/0.72 % (3783276)Termination phase: Saturation
% 3.18/0.72 % (3783276)Time elapsed: 0.164 s
% 3.18/0.72 % (3783276)Peak memory usage: 14 MB
% 3.18/0.72 % (3783276)Instructions burned: 317 (million)
% 3.18/0.72 % (3783317)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3940780905:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 3.18/0.72 % (3783319)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2149510741:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 3.18/0.77 % (3783319)Refutation not found, incomplete strategy
% 3.18/0.77 % (3783319)------------------------------
% 3.18/0.77 % (3783319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.18/0.77 % (3783319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/0.77 % (3783319)CaDiCaL version: 2.1.3
% 3.18/0.77 % (3783319)Termination reason: Refutation not found, incomplete strategy
% 3.18/0.77 % (3783319)Time elapsed: 0.001 s
% 3.18/0.77 % (3783319)Peak memory usage: 12 MB
% 3.18/0.77 % (3783319)Instructions burned: 1 (million)
% 3.18/0.77 % (3783319)------------------------------
% 3.18/0.77 % (3783319)------------------------------
% 3.18/0.77 % (3783322)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2692417799:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/95Mi)
% 3.18/0.77 % (3783317)Instruction limit reached!
% 3.18/0.77 % (3783317)------------------------------
% 3.18/0.77 % (3783317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.18/0.77 % (3783317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/0.77 % (3783317)CaDiCaL version: 2.1.3
% 3.18/0.77 % (3783317)Termination reason: Instruction limit
% 3.18/0.77 % (3783317)Termination phase: Saturation
% 3.18/0.77 % (3783317)Time elapsed: 0.021 s
% 3.18/0.77 % (3783317)Peak memory usage: 12 MB
% 3.18/0.77 % (3783317)Instructions burned: 45 (million)
% 3.18/0.77 % (3783303)Instruction limit reached!
% 3.18/0.77 % (3783303)------------------------------
% 3.18/0.77 % (3783303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.18/0.77 % (3783303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/0.77 % (3783303)CaDiCaL version: 2.1.3
% 3.18/0.77 % (3783303)Termination reason: Instruction limit
% 3.18/0.77 % (3783303)Termination phase: Saturation
% 3.18/0.77 % (3783303)Time elapsed: 0.080 s
% 3.18/0.77 % (3783303)Peak memory usage: 12 MB
% 3.18/0.77 % (3783303)Instructions burned: 181 (million)
% 3.18/0.77 % (3783325)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=2830383275:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2996 on theBenchmark for (2996ds/65Mi)
% 3.18/0.77 % (3783329)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=1656913950:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.18/0.77 % (3783327)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=1845201047:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2995 on theBenchmark for (2995ds/105Mi)
% 3.18/0.77 % (3783329)Refutation not found, incomplete strategy
% 3.18/0.77 % (3783329)------------------------------
% 3.18/0.77 % (3783329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.18/0.77 % (3783329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/0.77 % (3783329)CaDiCaL version: 2.1.3
% 3.18/0.77 % (3783329)Termination reason: Refutation not found, incomplete strategy
% 3.18/0.77 % (3783329)Time elapsed: 0.001 s
% 3.18/0.77 % (3783329)Peak memory usage: 12 MB
% 3.18/0.77 % (3783329)------------------------------
% 3.18/0.77 % (3783329)------------------------------
% 3.18/0.77 % (3783325)Instruction limit reached!
% 3.18/0.77 % (3783325)------------------------------
% 3.18/0.77 % (3783325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.18/0.77 % (3783325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/0.77 % (3783325)CaDiCaL version: 2.1.3
% 3.18/0.77 % (3783325)Termination reason: Instruction limit
% 3.18/0.77 % (3783325)Termination phase: Saturation
% 3.18/0.77 % (3783325)Time elapsed: 0.031 s
% 3.18/0.77 % (3783325)Peak memory usage: 12 MB
% 3.18/0.77 % (3783325)Instructions burned: 65 (million)
% 3.18/0.77 % (3783322)Instruction limit reached!
% 3.18/0.77 % (3783322)------------------------------
% 3.18/0.77 % (3783322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.18/0.77 % (3783322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.87 % (3783322)CaDiCaL version: 2.1.3
% 3.68/0.87 % (3783322)Termination reason: Instruction limit
% 3.68/0.87 % (3783322)Termination phase: Saturation
% 3.68/0.87 % (3783322)Time elapsed: 0.042 s
% 3.68/0.87 % (3783322)Peak memory usage: 12 MB
% 3.68/0.87 % (3783322)Instructions burned: 95 (million)
% 3.68/0.87 % (3783332)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3499951174:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.68/0.87 % (3783332)Refutation not found, incomplete strategy
% 3.68/0.87 % (3783332)------------------------------
% 3.68/0.87 % (3783332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.87 % (3783332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.87 % (3783332)CaDiCaL version: 2.1.3
% 3.68/0.87 % (3783332)Termination reason: Refutation not found, incomplete strategy
% 3.68/0.87 % (3783332)Time elapsed: 0.0000 s
% 3.68/0.87 % (3783332)Peak memory usage: 11 MB
% 3.68/0.87 % (3783332)------------------------------
% 3.68/0.87 % (3783332)------------------------------
% 3.68/0.87 % (3783333)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3487987174:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 3.68/0.87 % (3783320)Instruction limit reached!
% 3.68/0.87 % (3783320)------------------------------
% 3.68/0.87 % (3783320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.87 % (3783320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.87 % (3783320)CaDiCaL version: 2.1.3
% 3.68/0.87 % (3783320)Termination reason: Instruction limit
% 3.68/0.87 % (3783320)Termination phase: Saturation
% 3.68/0.87 % (3783320)Time elapsed: 0.080 s
% 3.68/0.87 % (3783320)Peak memory usage: 12 MB
% 3.68/0.87 % (3783320)Instructions burned: 454 (million)
% 3.68/0.87 % (3783334)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=4135928209:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.68/0.87 % (3783336)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2415561208:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 3.68/0.87 % (3783327)Instruction limit reached!
% 3.68/0.87 % (3783327)------------------------------
% 3.68/0.87 % (3783327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.87 % (3783327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.87 % (3783327)CaDiCaL version: 2.1.3
% 3.68/0.87 % (3783327)Termination reason: Instruction limit
% 3.68/0.87 % (3783327)Termination phase: Saturation
% 3.68/0.87 % (3783327)Time elapsed: 0.053 s
% 3.68/0.87 % (3783327)Peak memory usage: 12 MB
% 3.68/0.87 % (3783327)Instructions burned: 105 (million)
% 3.68/0.87 % (3783338)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3050206608:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.68/0.87 % (3783338)Refutation not found, incomplete strategy
% 3.68/0.87 % (3783338)------------------------------
% 3.68/0.87 % (3783338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.87 % (3783338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.87 % (3783338)CaDiCaL version: 2.1.3
% 3.68/0.87 % (3783338)Termination reason: Refutation not found, incomplete strategy
% 3.68/0.87 % (3783338)Time elapsed: 0.0000 s
% 3.68/0.87 % (3783338)Peak memory usage: 12 MB
% 3.68/0.87 % (3783334)Instruction limit reached!
% 3.68/0.87 % (3783334)------------------------------
% 3.68/0.87 % (3783334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.87 % (3783334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.87 % (3783334)CaDiCaL version: 2.1.3
% 3.68/0.87 % (3783334)Termination reason: Instruction limit
% 3.68/0.87 % (3783334)Termination phase: Saturation
% 3.68/0.87 % (3783334)Time elapsed: 0.018 s
% 3.68/0.87 % (3783334)Peak memory usage: 12 MB
% 3.68/0.87 % (3783334)Instructions burned: 34 (million)
% 3.68/0.87 % (3783338)------------------------------
% 3.68/0.87 % (3783338)------------------------------
% 3.68/0.87 % (3783341)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1168156496:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 4.07/0.92 % (3783344)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2128189105:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/28Mi)
% 4.07/0.92 % (3783343)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=3958214405:i=338:bd=all:ins=4:rtra=on_2995 on theBenchmark for (2995ds/338Mi)
% 4.07/0.92 % (3783344)Refutation not found, incomplete strategy
% 4.07/0.92 % (3783344)------------------------------
% 4.07/0.92 % (3783344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.92 % (3783344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.92 % (3783344)CaDiCaL version: 2.1.3
% 4.07/0.92 % (3783344)Termination reason: Refutation not found, incomplete strategy
% 4.07/0.92 % (3783344)Time elapsed: 0.001 s
% 4.07/0.92 % (3783344)Peak memory usage: 11 MB
% 4.07/0.92 % (3783344)------------------------------
% 4.07/0.92 % (3783344)------------------------------
% 4.07/0.92 % (3783336)Instruction limit reached!
% 4.07/0.92 % (3783336)------------------------------
% 4.07/0.92 % (3783336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.92 % (3783336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.92 % (3783336)CaDiCaL version: 2.1.3
% 4.07/0.92 % (3783336)Termination reason: Instruction limit
% 4.07/0.92 % (3783336)Termination phase: Saturation
% 4.07/0.92 % (3783336)Time elapsed: 0.038 s
% 4.07/0.92 % (3783336)Peak memory usage: 12 MB
% 4.07/0.92 % (3783336)Instructions burned: 91 (million)
% 4.07/0.92 % (3783341)Instruction limit reached!
% 4.07/0.92 % (3783341)------------------------------
% 4.07/0.92 % (3783341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.92 % (3783341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.92 % (3783341)CaDiCaL version: 2.1.3
% 4.07/0.92 % (3783341)Termination reason: Instruction limit
% 4.07/0.92 % (3783341)Termination phase: Saturation
% 4.07/0.92 % (3783341)Time elapsed: 0.010 s
% 4.07/0.92 % (3783341)Peak memory usage: 12 MB
% 4.07/0.92 % (3783341)Instructions burned: 22 (million)
% 4.07/0.92 % (3783348)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 4.07/0.92 % (3783348)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=684630677:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2995 on theBenchmark for (2995ds/137Mi)
% 4.07/0.92 % (3783349)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=17862484:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2995 on theBenchmark for (2995ds/340Mi)
% 4.07/0.92 % (3783350)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2868729020:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 4.07/0.92 % (3783350)Refutation not found, incomplete strategy
% 4.07/0.92 % (3783350)------------------------------
% 4.07/0.92 % (3783350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.92 % (3783350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.92 % (3783350)CaDiCaL version: 2.1.3
% 4.07/0.92 % (3783350)Termination reason: Refutation not found, incomplete strategy
% 4.07/0.92 % (3783350)Time elapsed: 0.0000 s
% 4.07/0.92 % (3783350)Peak memory usage: 12 MB
% 4.07/0.92 % (3783350)------------------------------
% 4.07/0.92 % (3783350)------------------------------
% 4.07/0.92 % (3783278)Instruction limit reached!
% 4.07/0.92 % (3783278)------------------------------
% 4.07/0.92 % (3783278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.92 % (3783278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.92 % (3783278)CaDiCaL version: 2.1.3
% 4.07/0.92 % (3783278)Termination reason: Instruction limit
% 4.07/0.92 % (3783278)Termination phase: Saturation
% 4.07/0.92 % (3783278)Time elapsed: 0.306 s
% 4.07/0.92 % (3783278)Peak memory usage: 13 MB
% 4.07/0.92 % (3783278)Instructions burned: 854 (million)
% 4.07/0.92 % (3783348)Instruction limit reached!
% 4.07/0.92 % (3783348)------------------------------
% 4.07/0.92 % (3783348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.92 % (3783348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.94 % (3783348)CaDiCaL version: 2.1.3
% 4.07/0.94 % (3783348)Termination reason: Instruction limit
% 4.07/0.94 % (3783348)Termination phase: Saturation
% 4.07/0.94 % (3783348)Time elapsed: 0.030 s
% 4.07/0.94 % (3783348)Peak memory usage: 13 MB
% 4.07/0.94 % (3783348)Instructions burned: 140 (million)
% 4.07/0.94 % (3783354)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 4.07/0.94 % (3783354)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=171510226:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 4.07/0.94 % (3783355)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=4098776135:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 4.07/0.94 % (3783356)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=4232514037:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 4.07/0.94 % (3783356)Refutation not found, incomplete strategy
% 4.07/0.94 % (3783356)------------------------------
% 4.07/0.95 % (3783356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.95 % (3783356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.95 % (3783356)CaDiCaL version: 2.1.3
% 4.07/0.95 % (3783356)Termination reason: Refutation not found, incomplete strategy
% 4.07/0.95 % (3783356)Time elapsed: 0.0000 s
% 4.07/0.95 % (3783356)Peak memory usage: 11 MB
% 4.07/0.95 % (3783356)Instructions burned: 1 (million)
% 4.07/0.95 % (3783356)------------------------------
% 4.07/0.95 % (3783356)------------------------------
% 4.07/0.95 % (3783360)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=745055992:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2994 on theBenchmark for (2994ds/270Mi)
% 4.07/0.95 % (3783355)Instruction limit reached!
% 4.07/0.95 % (3783355)------------------------------
% 4.07/0.95 % (3783355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.95 % (3783355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.95 % (3783355)CaDiCaL version: 2.1.3
% 4.07/0.95 % (3783355)Termination reason: Instruction limit
% 4.07/0.95 % (3783355)Termination phase: Saturation
% 4.07/0.95 % (3783355)Time elapsed: 0.050 s
% 4.07/0.95 % (3783355)Peak memory usage: 12 MB
% 4.07/0.95 % (3783355)Instructions burned: 118 (million)
% 4.07/0.95 % (3783256)Instruction limit reached!
% 4.07/0.95 % (3783256)------------------------------
% 4.07/0.95 % (3783256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.95 % (3783256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.95 % (3783256)CaDiCaL version: 2.1.3
% 4.07/0.95 % (3783256)Termination reason: Instruction limit
% 4.07/0.95 % (3783256)Termination phase: Saturation
% 4.07/0.95 % (3783256)Time elapsed: 0.448 s
% 4.07/0.95 % (3783256)Peak memory usage: 13 MB
% 4.07/0.95 % (3783256)Instructions burned: 1243 (million)
% 4.07/0.95 % (3783362)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=361472464: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_2994 on theBenchmark for (2994ds/9840Mi)
% 4.07/0.95 % (3783360)Instruction limit reached!
% 4.07/0.95 % (3783360)------------------------------
% 4.07/0.95 % (3783360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.95 % (3783360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.95 % (3783360)CaDiCaL version: 2.1.3
% 4.07/0.95 % (3783360)Termination reason: Instruction limit
% 4.07/0.95 % (3783360)Termination phase: Saturation
% 4.07/0.95 % (3783360)Time elapsed: 0.061 s
% 4.07/0.95 % (3783360)Peak memory usage: 12 MB
% 4.07/0.95 % (3783360)Instructions burned: 273 (million)
% 4.07/0.95 % (3783365)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
% 4.07/0.95 % (3783365)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=822159190:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 4.07/0.95 % (3783363)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2419889259:i=421:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/421Mi)
% 4.07/0.99 % (3783363)Refutation not found, incomplete strategy
% 4.07/0.99 % (3783363)------------------------------
% 4.07/0.99 % (3783363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.99 % (3783363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.99 % (3783363)CaDiCaL version: 2.1.3
% 4.07/0.99 % (3783363)Termination reason: Refutation not found, incomplete strategy
% 4.07/0.99 % (3783363)Time elapsed: 0.001 s
% 4.07/0.99 % (3783363)Peak memory usage: 11 MB
% 4.07/0.99 % (3783363)------------------------------
% 4.07/0.99 % (3783363)------------------------------
% 4.07/0.99 % (3783343)Instruction limit reached!
% 4.07/0.99 % (3783343)------------------------------
% 4.07/0.99 % (3783343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.99 % (3783343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.99 % (3783343)CaDiCaL version: 2.1.3
% 4.07/0.99 % (3783343)Termination reason: Instruction limit
% 4.07/0.99 % (3783343)Termination phase: Saturation
% 4.07/0.99 % (3783343)Time elapsed: 0.147 s
% 4.07/0.99 % (3783343)Peak memory usage: 14 MB
% 4.07/0.99 % (3783343)Instructions burned: 340 (million)
% 4.07/0.99 % (3783368)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1078477430:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 4.07/0.99 % (3783369)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 4.07/0.99 % (3783369)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
% 4.07/0.99 % (3783369)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=2624638345:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/1440Mi)
% 4.07/0.99 % (3783368)Instruction limit reached!
% 4.07/0.99 % (3783368)------------------------------
% 4.07/0.99 % (3783368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.99 % (3783368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.99 % (3783368)CaDiCaL version: 2.1.3
% 4.07/0.99 % (3783368)Termination reason: Instruction limit
% 4.07/0.99 % (3783368)Termination phase: Saturation
% 4.07/0.99 % (3783368)Time elapsed: 0.016 s
% 4.07/0.99 % (3783368)Peak memory usage: 12 MB
% 4.07/0.99 % (3783368)Instructions burned: 32 (million)
% 4.07/0.99 % (3783333)Instruction limit reached!
% 4.07/0.99 % (3783333)------------------------------
% 4.07/0.99 % (3783333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.99 % (3783333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.99 % (3783333)CaDiCaL version: 2.1.3
% 4.07/0.99 % (3783333)Termination reason: Instruction limit
% 4.07/0.99 % (3783333)Termination phase: Saturation
% 4.07/0.99 % (3783333)Time elapsed: 0.218 s
% 4.07/0.99 % (3783333)Peak memory usage: 13 MB
% 4.07/0.99 % (3783333)Instructions burned: 495 (million)
% 4.07/0.99 % (3783349)Instruction limit reached!
% 4.07/0.99 % (3783349)------------------------------
% 4.07/0.99 % (3783349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.99 % (3783349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.99 % (3783349)CaDiCaL version: 2.1.3
% 4.07/0.99 % (3783349)Termination reason: Instruction limit
% 4.07/0.99 % (3783349)Termination phase: Saturation
% 4.07/0.99 % (3783349)Time elapsed: 0.153 s
% 4.07/0.99 % (3783349)Peak memory usage: 13 MB
% 4.07/0.99 % (3783349)Instructions burned: 340 (million)
% 4.07/0.99 % (3783365)Instruction limit reached!
% 4.07/0.99 % (3783365)------------------------------
% 4.07/0.99 % (3783365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.07/0.99 % (3783365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/0.99 % (3783365)CaDiCaL version: 2.1.3
% 4.07/0.99 % (3783365)Termination reason: Instruction limit
% 4.07/0.99 % (3783365)Termination phase: Saturation
% 4.07/0.99 % (3783365)Time elapsed: 0.058 s
% 4.07/0.99 % (3783365)Peak memory usage: 12 MB
% 4.07/0.99 % (3783365)Instructions burned: 272 (million)
% 4.07/0.99 % (3783373)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=742583957:i=111:add=on:fgj=on:rtra=on:fdi=1024_2993 on theBenchmark for (2993ds/111Mi)
% 5.65/1.06 % (3783372)dis+10_2_sil=128000:si=on:random_seed=195647381:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2993 on theBenchmark for (2993ds/339Mi)
% 5.65/1.06 % (3783374)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=3690298049:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/122Mi)
% 5.65/1.06 % (3783372)Refutation not found, incomplete strategy
% 5.65/1.06 % (3783372)------------------------------
% 5.65/1.06 % (3783372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.06 % (3783372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.06 % (3783372)CaDiCaL version: 2.1.3
% 5.65/1.06 % (3783372)Termination reason: Refutation not found, incomplete strategy
% 5.65/1.06 % (3783372)Time elapsed: 0.0000 s
% 5.65/1.06 % (3783372)Peak memory usage: 11 MB
% 5.65/1.06 % (3783374)Refutation not found, incomplete strategy
% 5.65/1.06 % (3783374)------------------------------
% 5.65/1.06 % (3783374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.06 % (3783374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.06 % (3783374)CaDiCaL version: 2.1.3
% 5.65/1.06 % (3783374)Termination reason: Refutation not found, incomplete strategy
% 5.65/1.06 % (3783374)Time elapsed: 0.001 s
% 5.65/1.06 % (3783374)Peak memory usage: 11 MB
% 5.65/1.06 % (3783372)------------------------------
% 5.65/1.06 % (3783372)------------------------------
% 5.65/1.06 % (3783374)------------------------------
% 5.65/1.06 % (3783374)------------------------------
% 5.65/1.06 % (3783378)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=3116474068:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/136Mi)
% 5.65/1.06 % (3783378)Refutation not found, incomplete strategy
% 5.65/1.06 % (3783378)------------------------------
% 5.65/1.06 % (3783378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.06 % (3783378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.06 % (3783378)CaDiCaL version: 2.1.3
% 5.65/1.06 % (3783378)Termination reason: Refutation not found, incomplete strategy
% 5.65/1.06 % (3783378)Time elapsed: 0.0000 s
% 5.65/1.06 % (3783378)Peak memory usage: 11 MB
% 5.65/1.06 % (3783378)Instructions burned: 1 (million)
% 5.65/1.06 % (3783378)------------------------------
% 5.65/1.06 % (3783378)------------------------------
% 5.65/1.06 % (3783382)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 5.65/1.06 % (3783379)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3519742595:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/232Mi)
% 5.65/1.06 % (3783380)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=529191051:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/1254Mi)
% 5.65/1.06 % (3783379)Refutation not found, incomplete strategy
% 5.65/1.06 % (3783379)------------------------------
% 5.65/1.06 % (3783379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.06 % (3783379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.06 % (3783379)CaDiCaL version: 2.1.3
% 5.65/1.06 % (3783379)Termination reason: Refutation not found, incomplete strategy
% 5.65/1.06 % (3783379)Time elapsed: 0.0000 s
% 5.65/1.06 % (3783379)Peak memory usage: 11 MB
% 5.65/1.06 % (3783382)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=4081369083:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2992 on theBenchmark for (2992ds/281Mi)
% 5.65/1.06 % (3783379)------------------------------
% 5.65/1.06 % (3783379)------------------------------
% 5.65/1.06 % (3783380)Refutation not found, incomplete strategy
% 5.65/1.06 % (3783380)------------------------------
% 5.65/1.06 % (3783380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.06 % (3783380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.14 % (3783380)CaDiCaL version: 2.1.3
% 6.35/1.14 % (3783380)Termination reason: Refutation not found, incomplete strategy
% 6.35/1.14 % (3783380)Time elapsed: 0.002 s
% 6.35/1.14 % (3783380)Peak memory usage: 11 MB
% 6.35/1.14 % (3783380)Instructions burned: 3 (million)
% 6.35/1.14 % (3783380)------------------------------
% 6.35/1.14 % (3783380)------------------------------
% 6.35/1.14 % (3783354)Instruction limit reached!
% 6.35/1.14 % (3783354)------------------------------
% 6.35/1.14 % (3783354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.14 % (3783354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.14 % (3783354)CaDiCaL version: 2.1.3
% 6.35/1.14 % (3783354)Termination reason: Instruction limit
% 6.35/1.14 % (3783354)Termination phase: Saturation
% 6.35/1.14 % (3783354)Time elapsed: 0.178 s
% 6.35/1.14 % (3783354)Peak memory usage: 12 MB
% 6.35/1.14 % (3783354)Instructions burned: 374 (million)
% 6.35/1.14 % (3783386)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4279341495:i=619:add=on:rtra=on_2992 on theBenchmark for (2992ds/619Mi)
% 6.35/1.14 % (3783387)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=2399990804:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/865Mi)
% 6.35/1.14 % (3783386)Refutation not found, incomplete strategy
% 6.35/1.14 % (3783386)------------------------------
% 6.35/1.14 % (3783386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.14 % (3783386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.14 % (3783386)CaDiCaL version: 2.1.3
% 6.35/1.14 % (3783386)Termination reason: Refutation not found, incomplete strategy
% 6.35/1.14 % (3783386)Time elapsed: 0.002 s
% 6.35/1.14 % (3783386)Peak memory usage: 12 MB
% 6.35/1.14 % (3783386)Instructions burned: 2 (million)
% 6.35/1.14 % (3783386)------------------------------
% 6.35/1.14 % (3783386)------------------------------
% 6.35/1.14 % (3783388)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2063573392:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/212Mi)
% 6.35/1.14 % (3783388)Refutation not found, incomplete strategy
% 6.35/1.14 % (3783388)------------------------------
% 6.35/1.14 % (3783388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.14 % (3783388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.14 % (3783388)CaDiCaL version: 2.1.3
% 6.35/1.14 % (3783388)Termination reason: Refutation not found, incomplete strategy
% 6.35/1.14 % (3783388)Time elapsed: 0.001 s
% 6.35/1.14 % (3783388)Peak memory usage: 11 MB
% 6.35/1.14 % (3783373)Instruction limit reached!
% 6.35/1.14 % (3783373)------------------------------
% 6.35/1.14 % (3783373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.14 % (3783373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.14 % (3783373)CaDiCaL version: 2.1.3
% 6.35/1.14 % (3783373)Termination reason: Instruction limit
% 6.35/1.14 % (3783373)Termination phase: Saturation
% 6.35/1.14 % (3783373)Time elapsed: 0.051 s
% 6.35/1.14 % (3783373)Peak memory usage: 12 MB
% 6.35/1.14 % (3783373)Instructions burned: 111 (million)
% 6.35/1.14 % (3783388)------------------------------
% 6.35/1.14 % (3783388)------------------------------
% 6.35/1.14 % (3783391)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2875426117:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.35/1.14 % (3783391)Refutation not found, incomplete strategy
% 6.35/1.14 % (3783391)------------------------------
% 6.35/1.14 % (3783391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.14 % (3783391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.14 % (3783391)CaDiCaL version: 2.1.3
% 6.35/1.14 % (3783391)Termination reason: Refutation not found, incomplete strategy
% 6.35/1.14 % (3783391)Time elapsed: 0.001 s
% 6.35/1.14 % (3783391)Peak memory usage: 11 MB
% 6.35/1.14 % (3783391)------------------------------
% 6.35/1.14 % (3783391)------------------------------
% 6.35/1.14 % (3783393)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1565000770:st=1.5:i=346:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/346Mi)
% 6.35/1.14 % (3783394)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=125348041:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/152Mi)
% 7.00/1.38 % (3783393)Refutation not found, incomplete strategy
% 7.00/1.38 % (3783393)------------------------------
% 7.00/1.38 % (3783393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.38 % (3783393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.38 % (3783393)CaDiCaL version: 2.1.3
% 7.00/1.38 % (3783393)Termination reason: Refutation not found, incomplete strategy
% 7.00/1.38 % (3783393)Time elapsed: 0.001 s
% 7.00/1.38 % (3783393)Peak memory usage: 11 MB
% 7.00/1.38 % (3783393)Instructions burned: 1 (million)
% 7.00/1.38 % (3783393)------------------------------
% 7.00/1.38 % (3783393)------------------------------
% 7.00/1.38 % (3783396)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2927652257:i=75:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/75Mi)
% 7.00/1.38 % (3783399)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2889731371:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/387Mi)
% 7.00/1.38 % (3783399)Refutation not found, incomplete strategy
% 7.00/1.38 % (3783399)------------------------------
% 7.00/1.38 % (3783399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.38 % (3783399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.38 % (3783399)CaDiCaL version: 2.1.3
% 7.00/1.38 % (3783399)Termination reason: Refutation not found, incomplete strategy
% 7.00/1.38 % (3783399)Time elapsed: 0.001 s
% 7.00/1.38 % (3783399)Peak memory usage: 11 MB
% 7.00/1.38 % (3783399)Instructions burned: 1 (million)
% 7.00/1.38 % (3783399)------------------------------
% 7.00/1.38 % (3783399)------------------------------
% 7.00/1.38 % (3783382)Instruction limit reached!
% 7.00/1.38 % (3783382)------------------------------
% 7.00/1.38 % (3783382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.38 % (3783382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.38 % (3783382)CaDiCaL version: 2.1.3
% 7.00/1.38 % (3783382)Termination reason: Instruction limit
% 7.00/1.38 % (3783382)Termination phase: Saturation
% 7.00/1.38 % (3783382)Time elapsed: 0.078 s
% 7.00/1.38 % (3783382)Peak memory usage: 13 MB
% 7.00/1.38 % (3783382)Instructions burned: 285 (million)
% 7.00/1.38 % (3783403)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3834221280:i=161:piset=and:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/161Mi)
% 7.00/1.38 % (3783402)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=215427603:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2992 on theBenchmark for (2992ds/148Mi)
% 7.00/1.38 % (3783396)Instruction limit reached!
% 7.00/1.38 % (3783396)------------------------------
% 7.00/1.38 % (3783396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.38 % (3783396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.38 % (3783396)CaDiCaL version: 2.1.3
% 7.00/1.38 % (3783396)Termination reason: Instruction limit
% 7.00/1.38 % (3783396)Termination phase: Saturation
% 7.00/1.38 % (3783396)Time elapsed: 0.038 s
% 7.00/1.38 % (3783396)Peak memory usage: 12 MB
% 7.00/1.38 % (3783396)Instructions burned: 77 (million)
% 7.00/1.38 % (3783406)lrs+10_1_sil=128000:si=on:random_seed=492034996:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/888Mi)
% 7.00/1.38 % (3783406)Refutation not found, incomplete strategy
% 7.00/1.38 % (3783406)------------------------------
% 7.00/1.38 % (3783406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.38 % (3783406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.38 % (3783406)CaDiCaL version: 2.1.3
% 7.00/1.38 % (3783406)Termination reason: Refutation not found, incomplete strategy
% 7.00/1.38 % (3783406)Time elapsed: 0.001 s
% 7.00/1.38 % (3783406)Peak memory usage: 11 MB
% 7.00/1.38 % (3783403)Instruction limit reached!
% 7.00/1.38 % (3783403)------------------------------
% 7.00/1.38 % (3783403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.38 % (3783403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.38 % (3783403)CaDiCaL version: 2.1.3
% 7.00/1.38 % (3783403)Termination reason: Instruction limit
% 7.00/1.38 % (3783403)Termination phase: Saturation
% 7.00/1.38 % (3783403)Time elapsed: 0.029 s
% 7.00/1.38 % (3783403)Peak memory usage: 13 MB
% 8.06/1.51 % (3783403)Instructions burned: 165 (million)
% 8.06/1.51 % (3783406)------------------------------
% 8.06/1.51 % (3783406)------------------------------
% 8.06/1.51 % (3783394)Instruction limit reached!
% 8.06/1.51 % (3783394)------------------------------
% 8.06/1.51 % (3783394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.06/1.51 % (3783394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.51 % (3783394)CaDiCaL version: 2.1.3
% 8.06/1.51 % (3783394)Termination reason: Instruction limit
% 8.06/1.51 % (3783394)Termination phase: Saturation
% 8.06/1.51 % (3783394)Time elapsed: 0.071 s
% 8.06/1.51 % (3783394)Peak memory usage: 13 MB
% 8.06/1.51 % (3783394)Instructions burned: 154 (million)
% 8.06/1.51 % (3783408)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=3094613928:i=136:add=on:ins=4:rtra=on:sup=off_2991 on theBenchmark for (2991ds/136Mi)
% 8.06/1.51 % (3783409)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=480338787:i=88:s2at=3:nm=2:rtra=on:rawr=on_2991 on theBenchmark for (2991ds/88Mi)
% 8.06/1.52 % (3783410)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1603455135:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2991 on theBenchmark for (2991ds/93Mi)
% 8.06/1.52 % (3783402)Instruction limit reached!
% 8.06/1.52 % (3783402)------------------------------
% 8.06/1.52 % (3783402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.06/1.52 % (3783402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.52 % (3783402)CaDiCaL version: 2.1.3
% 8.06/1.52 % (3783402)Termination reason: Instruction limit
% 8.06/1.52 % (3783402)Termination phase: Saturation
% 8.06/1.52 % (3783402)Time elapsed: 0.065 s
% 8.06/1.52 % (3783402)Peak memory usage: 12 MB
% 8.06/1.52 % (3783402)Instructions burned: 148 (million)
% 8.06/1.52 % (3783408)Instruction limit reached!
% 8.06/1.52 % (3783408)------------------------------
% 8.06/1.52 % (3783408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.06/1.52 % (3783408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.52 % (3783408)CaDiCaL version: 2.1.3
% 8.06/1.52 % (3783408)Termination reason: Instruction limit
% 8.06/1.52 % (3783408)Termination phase: Saturation
% 8.06/1.52 % (3783408)Time elapsed: 0.034 s
% 8.06/1.52 % (3783408)Peak memory usage: 12 MB
% 8.06/1.52 % (3783408)Instructions burned: 141 (million)
% 8.06/1.52 % (3783414)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3790983783:i=2186:rtra=on:ixr=off_2991 on theBenchmark for (2991ds/2186Mi)
% 8.06/1.52 % (3783415)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=226409403:s2a=on:i=240:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/240Mi)
% 8.06/1.52 % (3783409)Instruction limit reached!
% 8.06/1.52 % (3783409)------------------------------
% 8.06/1.52 % (3783409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.06/1.52 % (3783409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.52 % (3783409)CaDiCaL version: 2.1.3
% 8.06/1.52 % (3783409)Termination reason: Instruction limit
% 8.06/1.52 % (3783409)Termination phase: Saturation
% 8.06/1.52 % (3783409)Time elapsed: 0.039 s
% 8.06/1.52 % (3783409)Peak memory usage: 12 MB
% 8.06/1.52 % (3783409)Instructions burned: 89 (million)
% 8.06/1.52 % (3783410)Instruction limit reached!
% 8.06/1.52 % (3783410)------------------------------
% 8.06/1.52 % (3783410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.06/1.52 % (3783410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.52 % (3783410)CaDiCaL version: 2.1.3
% 8.06/1.52 % (3783410)Termination reason: Instruction limit
% 8.06/1.52 % (3783410)Termination phase: Saturation
% 8.06/1.52 % (3783410)Time elapsed: 0.045 s
% 8.06/1.52 % (3783410)Peak memory usage: 12 MB
% 8.06/1.52 % (3783410)Instructions burned: 94 (million)
% 8.06/1.52 % (3783418)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2570022102:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/805Mi)
% 8.06/1.52 % (3783419)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 8.35/1.64 % (3783419)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=2827592669:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2991 on theBenchmark for (2991ds/391Mi)
% 8.35/1.64 % (3783419)Refutation not found, incomplete strategy
% 8.35/1.64 % (3783419)------------------------------
% 8.35/1.64 % (3783419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.64 % (3783419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.64 % (3783419)CaDiCaL version: 2.1.3
% 8.35/1.64 % (3783419)Termination reason: Refutation not found, incomplete strategy
% 8.35/1.64 % (3783419)Time elapsed: 0.001 s
% 8.35/1.64 % (3783419)Peak memory usage: 11 MB
% 8.35/1.64 % (3783419)Instructions burned: 1 (million)
% 8.35/1.64 % (3783419)------------------------------
% 8.35/1.64 % (3783419)------------------------------
% 8.35/1.64 % (3783422)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=148939878:i=355:av=off:fsr=off:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/355Mi)
% 8.35/1.64 % (3783415)Instruction limit reached!
% 8.35/1.64 % (3783415)------------------------------
% 8.35/1.64 % (3783415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.64 % (3783415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.64 % (3783415)CaDiCaL version: 2.1.3
% 8.35/1.64 % (3783415)Termination reason: Instruction limit
% 8.35/1.64 % (3783415)Termination phase: Saturation
% 8.35/1.64 % (3783415)Time elapsed: 0.052 s
% 8.35/1.64 % (3783415)Peak memory usage: 12 MB
% 8.35/1.64 % (3783415)Instructions burned: 244 (million)
% 8.35/1.64 % (3783424)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2566843792:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/314Mi)
% 8.35/1.64 % (3783424)Refutation not found, incomplete strategy
% 8.35/1.64 % (3783424)------------------------------
% 8.35/1.64 % (3783424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.64 % (3783424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.64 % (3783424)CaDiCaL version: 2.1.3
% 8.35/1.64 % (3783424)Termination reason: Refutation not found, incomplete strategy
% 8.35/1.64 % (3783424)Time elapsed: 0.0000 s
% 8.35/1.64 % (3783424)Peak memory usage: 11 MB
% 8.35/1.64 % (3783424)------------------------------
% 8.35/1.64 % (3783424)------------------------------
% 8.35/1.64 % (3783426)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=325027519:s2a=on:i=251:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/251Mi)
% 8.35/1.64 % (3783426)Instruction limit reached!
% 8.35/1.64 % (3783426)------------------------------
% 8.35/1.64 % (3783426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.64 % (3783426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.64 % (3783426)CaDiCaL version: 2.1.3
% 8.35/1.64 % (3783426)Termination reason: Instruction limit
% 8.35/1.64 % (3783426)Termination phase: Saturation
% 8.35/1.64 % (3783426)Time elapsed: 0.059 s
% 8.35/1.64 % (3783426)Peak memory usage: 12 MB
% 8.35/1.64 % (3783426)Instructions burned: 256 (million)
% 8.35/1.64 % (3783428)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=1233876398: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_2989 on theBenchmark for (2989ds/2470Mi)
% 8.35/1.64 % (3783422)Instruction limit reached!
% 8.35/1.64 % (3783422)------------------------------
% 8.35/1.64 % (3783422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.64 % (3783422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.64 % (3783422)CaDiCaL version: 2.1.3
% 8.35/1.64 % (3783422)Termination reason: Instruction limit
% 8.35/1.64 % (3783422)Termination phase: Saturation
% 8.35/1.64 % (3783422)Time elapsed: 0.159 s
% 8.35/1.64 % (3783422)Peak memory usage: 12 MB
% 8.35/1.64 % (3783422)Instructions burned: 356 (million)
% 8.35/1.64 % (3783430)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=893355388:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2989 on theBenchmark for (2989ds/673Mi)
% 8.35/1.64 % (3783369)Instruction limit reached!
% 8.35/1.64 % (3783369)------------------------------
% 9.19/1.80 % (3783369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.80 % (3783369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.80 % (3783369)CaDiCaL version: 2.1.3
% 9.19/1.80 % (3783369)Termination reason: Instruction limit
% 9.19/1.80 % (3783369)Termination phase: Saturation
% 9.19/1.80 % (3783369)Time elapsed: 0.486 s
% 9.19/1.80 % (3783369)Peak memory usage: 13 MB
% 9.19/1.80 % (3783369)Instructions burned: 1441 (million)
% 9.19/1.80 % (3783432)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=545876260:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 9.19/1.80 % (3783387)Instruction limit reached!
% 9.19/1.80 % (3783387)------------------------------
% 9.19/1.80 % (3783387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.80 % (3783387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.80 % (3783387)CaDiCaL version: 2.1.3
% 9.19/1.80 % (3783387)Termination reason: Instruction limit
% 9.19/1.80 % (3783387)Termination phase: Saturation
% 9.19/1.80 % (3783387)Time elapsed: 0.441 s
% 9.19/1.80 % (3783387)Peak memory usage: 15 MB
% 9.19/1.80 % (3783387)Instructions burned: 866 (million)
% 9.19/1.80 % (3783434)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1765669310:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2988 on theBenchmark for (2988ds/270Mi)
% 9.19/1.80 % (3783432)Instruction limit reached!
% 9.19/1.80 % (3783432)------------------------------
% 9.19/1.80 % (3783432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.80 % (3783432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.80 % (3783432)CaDiCaL version: 2.1.3
% 9.19/1.80 % (3783432)Termination reason: Instruction limit
% 9.19/1.80 % (3783432)Termination phase: Saturation
% 9.19/1.80 % (3783432)Time elapsed: 0.048 s
% 9.19/1.80 % (3783432)Peak memory usage: 12 MB
% 9.19/1.80 % (3783432)Instructions burned: 116 (million)
% 9.19/1.80 % (3783436)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=2495297081: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_2987 on theBenchmark for (2987ds/30Mi)
% 9.19/1.80 % (3783418)Instruction limit reached!
% 9.19/1.80 % (3783418)------------------------------
% 9.19/1.80 % (3783418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.80 % (3783418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.80 % (3783418)CaDiCaL version: 2.1.3
% 9.19/1.80 % (3783418)Termination reason: Instruction limit
% 9.19/1.80 % (3783418)Termination phase: Saturation
% 9.19/1.80 % (3783418)Time elapsed: 0.330 s
% 9.19/1.80 % (3783418)Peak memory usage: 13 MB
% 9.19/1.80 % (3783418)Instructions burned: 807 (million)
% 9.19/1.80 % (3783436)Instruction limit reached!
% 9.19/1.80 % (3783436)------------------------------
% 9.19/1.80 % (3783436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.80 % (3783436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.80 % (3783436)CaDiCaL version: 2.1.3
% 9.19/1.80 % (3783436)Termination reason: Instruction limit
% 9.19/1.80 % (3783436)Termination phase: Saturation
% 9.19/1.80 % (3783436)Time elapsed: 0.014 s
% 9.19/1.80 % (3783436)Peak memory usage: 12 MB
% 9.19/1.80 % (3783436)Instructions burned: 31 (million)
% 9.19/1.80 % (3783438)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 9.19/1.80 % (3783438)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=888069594:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2987 on theBenchmark for (2987ds/39Mi)
% 9.19/1.80 % (3783439)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1029229859:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/365Mi)
% 9.19/1.80 % (3783438)Instruction limit reached!
% 9.19/1.80 % (3783438)------------------------------
% 9.19/1.80 % (3783438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.80 % (3783438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.80 % (3783438)CaDiCaL version: 2.1.3
% 9.19/1.80 % (3783438)Termination reason: Instruction limit
% 9.46/1.89 % (3783438)Termination phase: Saturation
% 9.46/1.89 % (3783438)Time elapsed: 0.021 s
% 9.46/1.89 % (3783438)Peak memory usage: 12 MB
% 9.46/1.89 % (3783438)Instructions burned: 41 (million)
% 9.46/1.89 % (3783442)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=937147187:i=158:av=off:rtra=on_2987 on theBenchmark for (2987ds/158Mi)
% 9.46/1.89 % (3783434)Instruction limit reached!
% 9.46/1.89 % (3783434)------------------------------
% 9.46/1.89 % (3783434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.89 % (3783434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/1.89 % (3783434)CaDiCaL version: 2.1.3
% 9.46/1.89 % (3783434)Termination reason: Instruction limit
% 9.46/1.89 % (3783434)Termination phase: Saturation
% 9.46/1.89 % (3783434)Time elapsed: 0.115 s
% 9.46/1.89 % (3783434)Peak memory usage: 12 MB
% 9.46/1.89 % (3783434)Instructions burned: 272 (million)
% 9.46/1.89 % (3783444)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
% 9.46/1.89 % (3783444)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=3251642498:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/252Mi)
% 9.46/1.89 % (3783442)Instruction limit reached!
% 9.46/1.89 % (3783442)------------------------------
% 9.46/1.89 % (3783442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.89 % (3783442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/1.89 % (3783442)CaDiCaL version: 2.1.3
% 9.46/1.89 % (3783442)Termination reason: Instruction limit
% 9.46/1.89 % (3783442)Termination phase: Saturation
% 9.46/1.89 % (3783442)Time elapsed: 0.066 s
% 9.46/1.89 % (3783442)Peak memory usage: 12 MB
% 9.46/1.89 % (3783442)Instructions burned: 160 (million)
% 9.46/1.89 % (3783430)Instruction limit reached!
% 9.46/1.89 % (3783430)------------------------------
% 9.46/1.89 % (3783430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.89 % (3783430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/1.89 % (3783430)CaDiCaL version: 2.1.3
% 9.46/1.89 % (3783430)Termination reason: Instruction limit
% 9.46/1.89 % (3783430)Termination phase: Saturation
% 9.46/1.89 % (3783430)Time elapsed: 0.261 s
% 9.46/1.89 % (3783430)Peak memory usage: 13 MB
% 9.46/1.89 % (3783430)Instructions burned: 673 (million)
% 9.46/1.89 % (3783446)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=613998129:i=213:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/213Mi)
% 9.46/1.89 % (3783446)Refutation not found, incomplete strategy
% 9.46/1.89 % (3783446)------------------------------
% 9.46/1.89 % (3783446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.89 % (3783446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/1.89 % (3783446)CaDiCaL version: 2.1.3
% 9.46/1.89 % (3783446)Termination reason: Refutation not found, incomplete strategy
% 9.46/1.89 % (3783446)Time elapsed: 0.001 s
% 9.46/1.89 % (3783446)Peak memory usage: 11 MB
% 9.46/1.89 % (3783446)------------------------------
% 9.46/1.89 % (3783446)------------------------------
% 9.46/1.89 % (3783447)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=2339674972:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2986 on theBenchmark for (2986ds/160Mi)
% 9.46/1.89 % (3783447)Refutation not found, incomplete strategy
% 9.46/1.89 % (3783447)------------------------------
% 9.46/1.89 % (3783447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.89 % (3783447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.46/1.89 % (3783447)CaDiCaL version: 2.1.3
% 9.46/1.89 % (3783447)Termination reason: Refutation not found, incomplete strategy
% 9.46/1.89 % (3783447)Time elapsed: 0.001 s
% 9.46/1.89 % (3783447)Peak memory usage: 11 MB
% 9.46/1.89 % (3783447)Instructions burned: 1 (million)
% 9.46/1.89 % (3783447)------------------------------
% 9.46/1.89 % (3783447)------------------------------
% 9.46/1.89 % (3783439)Instruction limit reached!
% 9.46/1.89 % (3783439)------------------------------
% 9.46/1.89 % (3783439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.46/1.89 % (3783439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/1.94 % (3783439)CaDiCaL version: 2.1.3
% 10.48/1.94 % (3783439)Termination reason: Instruction limit
% 10.48/1.94 % (3783439)Termination phase: Saturation
% 10.48/1.94 % (3783439)Time elapsed: 0.138 s
% 10.48/1.94 % (3783439)Peak memory usage: 13 MB
% 10.48/1.94 % (3783439)Instructions burned: 367 (million)
% 10.48/1.94 % (3783449)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=854980157:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/763Mi)
% 10.48/1.94 % (3783451)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 10.48/1.94 % (3783451)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=1568950998:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2986 on theBenchmark for (2986ds/237Mi)
% 10.48/1.94 % (3783451)Refutation not found, incomplete strategy
% 10.48/1.94 % (3783451)------------------------------
% 10.48/1.94 % (3783451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.48/1.94 % (3783451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/1.94 % (3783451)CaDiCaL version: 2.1.3
% 10.48/1.94 % (3783451)Termination reason: Refutation not found, incomplete strategy
% 10.48/1.94 % (3783451)Time elapsed: 0.0000 s
% 10.48/1.94 % (3783451)Peak memory usage: 11 MB
% 10.48/1.94 % (3783451)------------------------------
% 10.48/1.94 % (3783451)------------------------------
% 10.48/1.94 % (3783452)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=557980134:s2a=on:i=386:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/386Mi)
% 10.48/1.94 % (3783444)Instruction limit reached!
% 10.48/1.94 % (3783444)------------------------------
% 10.48/1.94 % (3783444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.48/1.94 % (3783444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/1.94 % (3783444)CaDiCaL version: 2.1.3
% 10.48/1.94 % (3783444)Termination reason: Instruction limit
% 10.48/1.94 % (3783444)Termination phase: Saturation
% 10.48/1.94 % (3783444)Time elapsed: 0.099 s
% 10.48/1.94 % (3783444)Peak memory usage: 12 MB
% 10.48/1.94 % (3783444)Instructions burned: 252 (million)
% 10.48/1.94 % (3783455)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1218826079:i=300:piset=and:nm=32:rtra=on_2985 on theBenchmark for (2985ds/300Mi)
% 10.48/1.94 % (3783457)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=3122842268:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/567Mi)
% 10.48/1.94 % (3783457)Refutation not found, incomplete strategy
% 10.48/1.94 % (3783457)------------------------------
% 10.48/1.94 % (3783457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.48/1.94 % (3783457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/1.94 % (3783457)CaDiCaL version: 2.1.3
% 10.48/1.94 % (3783457)Termination reason: Refutation not found, incomplete strategy
% 10.48/1.94 % (3783457)Time elapsed: 0.001 s
% 10.48/1.94 % (3783457)Peak memory usage: 11 MB
% 10.48/1.94 % (3783457)Instructions burned: 1 (million)
% 10.48/1.94 % (3783457)------------------------------
% 10.48/1.94 % (3783457)------------------------------
% 10.48/1.94 % (3783460)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1567615221:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2985 on theBenchmark for (2985ds/379Mi)
% 10.48/1.94 % (3783460)Refutation not found, incomplete strategy
% 10.48/1.94 % (3783460)------------------------------
% 10.48/1.94 % (3783460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.48/1.94 % (3783460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/1.94 % (3783460)CaDiCaL version: 2.1.3
% 10.48/1.94 % (3783460)Termination reason: Refutation not found, incomplete strategy
% 10.48/1.94 % (3783460)Time elapsed: 0.001 s
% 10.48/1.94 % (3783460)Peak memory usage: 12 MB
% 10.48/1.94 % (3783460)------------------------------
% 10.48/1.94 % (3783460)------------------------------
% 10.48/1.94 % (3783462)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3914418637:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2985 on theBenchmark for (2985ds/429Mi)
% 10.48/1.94 % (3783455)Instruction limit reached!
% 10.48/1.94 % (3783455)------------------------------
% 10.48/1.98 % (3783455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.48/1.98 % (3783455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/1.98 % (3783455)CaDiCaL version: 2.1.3
% 10.48/1.98 % (3783455)Termination reason: Instruction limit
% 10.48/1.98 % (3783455)Termination phase: Saturation
% 10.48/1.98 % (3783455)Time elapsed: 0.128 s
% 10.48/1.98 % (3783455)Peak memory usage: 12 MB
% 10.48/1.98 % (3783455)Instructions burned: 302 (million)
% 10.48/1.98 % (3783464)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3692656227:i=478:bd=all:rtra=on_2984 on theBenchmark for (2984ds/478Mi)
% 10.48/1.98 % (3783464)Refutation not found, incomplete strategy
% 10.48/1.98 % (3783464)------------------------------
% 10.48/1.98 % (3783464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.48/1.98 % (3783464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/1.98 % (3783464)CaDiCaL version: 2.1.3
% 10.48/1.98 % (3783464)Termination reason: Refutation not found, incomplete strategy
% 10.48/1.98 % (3783464)Time elapsed: 0.001 s
% 10.48/1.98 % (3783464)Peak memory usage: 12 MB
% 10.48/1.98 % (3783464)Instructions burned: 1 (million)
% 10.48/1.98 % (3783464)------------------------------
% 10.48/1.98 % (3783464)------------------------------
% 10.48/1.98 % (3783452)Instruction limit reached!
% 10.48/1.98 % (3783452)------------------------------
% 10.48/1.98 % (3783452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.48/1.98 % (3783452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/1.98 % (3783452)CaDiCaL version: 2.1.3
% 10.48/1.98 % (3783452)Termination reason: Instruction limit
% 10.48/1.98 % (3783452)Termination phase: Saturation
% 10.48/1.98 % (3783452)Time elapsed: 0.175 s
% 10.48/1.98 % (3783452)Peak memory usage: 12 MB
% 10.48/1.98 % (3783452)Instructions burned: 387 (million)
% 10.48/1.98 % (3783466)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4225731122:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2984 on theBenchmark for (2984ds/445Mi)
% 10.48/1.98 % (3783467)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=143892371:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/71Mi)
% 10.48/1.98 % (3783428)Instruction limit reached!
% 10.48/1.98 % (3783428)------------------------------
% 10.48/1.98 % (3783428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.48/1.98 % (3783428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/1.98 % (3783428)CaDiCaL version: 2.1.3
% 10.48/1.98 % (3783428)Termination reason: Instruction limit
% 10.48/1.98 % (3783428)Termination phase: Saturation
% 10.48/1.98 % (3783428)Time elapsed: 0.608 s
% 10.48/1.98 % (3783428)Peak memory usage: 16 MB
% 10.48/1.98 % (3783428)Instructions burned: 2473 (million)
% 10.48/1.98 % (3783470)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3488455637:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/302Mi)
% 10.48/1.98 % (3783470)Refutation not found, incomplete strategy
% 10.48/1.98 % (3783470)------------------------------
% 10.48/1.98 % (3783470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.48/1.98 % (3783470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/1.98 % (3783470)CaDiCaL version: 2.1.3
% 10.48/1.98 % (3783470)Termination reason: Refutation not found, incomplete strategy
% 10.48/1.98 % (3783470)Time elapsed: 0.0000 s
% 10.48/1.98 % (3783470)Peak memory usage: 11 MB
% 10.48/1.98 % (3783470)------------------------------
% 10.48/1.98 % (3783470)------------------------------
% 10.48/1.98 % (3783467)Instruction limit reached!
% 10.48/1.98 % (3783467)------------------------------
% 10.48/1.98 % (3783467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.48/1.98 % (3783467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/1.98 % (3783467)CaDiCaL version: 2.1.3
% 10.48/1.98 % (3783467)Termination reason: Instruction limit
% 10.48/1.98 % (3783467)Termination phase: Saturation
% 10.48/1.98 % (3783467)Time elapsed: 0.038 s
% 10.48/1.98 % (3783467)Peak memory usage: 12 MB
% 10.48/1.98 % (3783467)Instructions burned: 71 (million)
% 10.48/1.98 % (3783472)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1299333542:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/4980Mi)
% 10.48/1.98 % (3783472)Refutation not found, incomplete strategy
% 10.48/1.98 % (3783472)------------------------------
% 13.29/2.15 % (3783472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.15 % (3783472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.15 % (3783472)CaDiCaL version: 2.1.3
% 13.29/2.15 % (3783472)Termination reason: Refutation not found, incomplete strategy
% 13.29/2.15 % (3783472)Time elapsed: 0.0000 s
% 13.29/2.15 % (3783472)Peak memory usage: 11 MB
% 13.29/2.15 % (3783472)------------------------------
% 13.29/2.15 % (3783472)------------------------------
% 13.29/2.15 % (3783473)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
% 13.29/2.15 % (3783473)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 13.29/2.15 % (3783475)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=372790025:i=76:piset=equals:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/76Mi)
% 13.29/2.15 % (3783473)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2547691097:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2983 on theBenchmark for (2983ds/100Mi)
% 13.29/2.15 % (3783449)Instruction limit reached!
% 13.29/2.15 % (3783449)------------------------------
% 13.29/2.15 % (3783449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.15 % (3783449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.15 % (3783449)CaDiCaL version: 2.1.3
% 13.29/2.15 % (3783449)Termination reason: Instruction limit
% 13.29/2.15 % (3783449)Termination phase: Saturation
% 13.29/2.15 % (3783449)Time elapsed: 0.273 s
% 13.29/2.15 % (3783449)Peak memory usage: 13 MB
% 13.29/2.15 % (3783449)Instructions burned: 766 (million)
% 13.29/2.15 % (3783462)Instruction limit reached!
% 13.29/2.15 % (3783462)------------------------------
% 13.29/2.15 % (3783462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.15 % (3783462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.15 % (3783462)CaDiCaL version: 2.1.3
% 13.29/2.15 % (3783462)Termination reason: Instruction limit
% 13.29/2.15 % (3783462)Termination phase: Saturation
% 13.29/2.15 % (3783462)Time elapsed: 0.200 s
% 13.29/2.15 % (3783462)Peak memory usage: 12 MB
% 13.29/2.15 % (3783462)Instructions burned: 430 (million)
% 13.29/2.15 % (3783475)Instruction limit reached!
% 13.29/2.15 % (3783475)------------------------------
% 13.29/2.15 % (3783475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.15 % (3783475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.15 % (3783475)CaDiCaL version: 2.1.3
% 13.29/2.15 % (3783475)Termination reason: Instruction limit
% 13.29/2.15 % (3783475)Termination phase: Saturation
% 13.29/2.15 % (3783475)Time elapsed: 0.020 s
% 13.29/2.15 % (3783475)Peak memory usage: 12 MB
% 13.29/2.15 % (3783475)Instructions burned: 79 (million)
% 13.29/2.15 % (3783478)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=504067209:i=289:rtra=on_2983 on theBenchmark for (2983ds/289Mi)
% 13.29/2.15 % (3783478)Refutation not found, incomplete strategy
% 13.29/2.15 % (3783478)------------------------------
% 13.29/2.15 % (3783478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.15 % (3783478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.15 % (3783478)CaDiCaL version: 2.1.3
% 13.29/2.15 % (3783478)Termination reason: Refutation not found, incomplete strategy
% 13.29/2.15 % (3783478)Time elapsed: 0.001 s
% 13.29/2.15 % (3783478)Peak memory usage: 11 MB
% 13.29/2.15 % (3783478)Instructions burned: 1 (million)
% 13.29/2.15 % (3783478)------------------------------
% 13.29/2.15 % (3783478)------------------------------
% 13.29/2.15 % (3783480)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=3970740973:cond=on:i=34:hud=10:nm=10:rtra=on_2983 on theBenchmark for (2983ds/34Mi)
% 13.29/2.15 % (3783414)Instruction limit reached!
% 13.29/2.15 % (3783414)------------------------------
% 13.29/2.15 % (3783414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.15 % (3783414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.65/2.23 % (3783414)CaDiCaL version: 2.1.3
% 13.65/2.23 % (3783414)Termination reason: Instruction limit
% 13.65/2.23 % (3783414)Termination phase: Saturation
% 13.65/2.23 % (3783414)Time elapsed: 0.818 s
% 13.65/2.23 % (3783414)Peak memory usage: 13 MB
% 13.65/2.23 % (3783414)Instructions burned: 2186 (million)
% 13.65/2.23 % (3783479)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=2725981596:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2983 on theBenchmark for (2983ds/493Mi)
% 13.65/2.23 % (3783480)Instruction limit reached!
% 13.65/2.23 % (3783480)------------------------------
% 13.65/2.23 % (3783480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.65/2.23 % (3783480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.65/2.23 % (3783480)CaDiCaL version: 2.1.3
% 13.65/2.23 % (3783480)Termination reason: Instruction limit
% 13.65/2.23 % (3783480)Termination phase: Saturation
% 13.65/2.23 % (3783480)Time elapsed: 0.010 s
% 13.65/2.23 % (3783480)Peak memory usage: 12 MB
% 13.65/2.23 % (3783480)Instructions burned: 38 (million)
% 13.65/2.23 % (3783482)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 13.65/2.23 % (3783482)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=3998768107:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2982 on theBenchmark for (2982ds/372Mi)
% 13.65/2.23 % (3783473)Instruction limit reached!
% 13.65/2.23 % (3783473)------------------------------
% 13.65/2.23 % (3783473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.65/2.23 % (3783473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.65/2.23 % (3783473)CaDiCaL version: 2.1.3
% 13.65/2.23 % (3783473)Termination reason: Instruction limit
% 13.65/2.23 % (3783473)Termination phase: Saturation
% 13.65/2.23 % (3783473)Time elapsed: 0.048 s
% 13.65/2.23 % (3783473)Peak memory usage: 12 MB
% 13.65/2.23 % (3783473)Instructions burned: 101 (million)
% 13.65/2.23 % (3783482)Refutation not found, incomplete strategy
% 13.65/2.23 % (3783482)------------------------------
% 13.65/2.23 % (3783482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.65/2.23 % (3783482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.65/2.23 % (3783482)CaDiCaL version: 2.1.3
% 13.65/2.23 % (3783482)Termination reason: Refutation not found, incomplete strategy
% 13.65/2.23 % (3783482)Time elapsed: 0.002 s
% 13.65/2.23 % (3783482)Peak memory usage: 11 MB
% 13.65/2.23 % (3783482)Instructions burned: 2 (million)
% 13.65/2.23 % (3783484)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=4174683207:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2982 on theBenchmark for (2982ds/670Mi)
% 13.65/2.23 % (3783482)------------------------------
% 13.65/2.23 % (3783482)------------------------------
% 13.65/2.23 % (3783486)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2201567654:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/647Mi)
% 13.65/2.23 % (3783486)Refutation not found, incomplete strategy
% 13.65/2.23 % (3783486)------------------------------
% 13.65/2.23 % (3783486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.65/2.23 % (3783486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.65/2.23 % (3783486)CaDiCaL version: 2.1.3
% 13.65/2.23 % (3783486)Termination reason: Refutation not found, incomplete strategy
% 13.65/2.23 % (3783486)Time elapsed: 0.0000 s
% 13.65/2.23 % (3783486)Peak memory usage: 12 MB
% 13.65/2.23 % (3783486)------------------------------
% 13.65/2.23 % (3783486)------------------------------
% 13.65/2.23 % (3783488)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=2551046815:i=857:add=off:kws=frequency:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/857Mi)
% 13.65/2.23 % (3783490)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=1424433434:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2982 on theBenchmark for (2982ds/693Mi)
% 13.65/2.23 % (3783492)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=652443576:i=285:hud=10:bd=all:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/285Mi)
% 14.04/2.35 % (3783492)Refutation not found, incomplete strategy
% 14.04/2.35 % (3783492)------------------------------
% 14.04/2.35 % (3783492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/2.35 % (3783492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.35 % (3783492)CaDiCaL version: 2.1.3
% 14.04/2.35 % (3783492)Termination reason: Refutation not found, incomplete strategy
% 14.04/2.35 % (3783492)Time elapsed: 0.0000 s
% 14.04/2.35 % (3783492)Peak memory usage: 11 MB
% 14.04/2.35 % (3783492)Instructions burned: 1 (million)
% 14.04/2.35 % (3783492)------------------------------
% 14.04/2.35 % (3783492)------------------------------
% 14.04/2.35 % (3783496)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 14.04/2.35 % (3783496)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=1170778407:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2982 on theBenchmark for (2982ds/52Mi)
% 14.04/2.35 % (3783496)Instruction limit reached!
% 14.04/2.35 % (3783496)------------------------------
% 14.04/2.35 % (3783496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/2.35 % (3783496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.35 % (3783496)CaDiCaL version: 2.1.3
% 14.04/2.35 % (3783496)Termination reason: Instruction limit
% 14.04/2.35 % (3783496)Termination phase: Saturation
% 14.04/2.35 % (3783496)Time elapsed: 0.012 s
% 14.04/2.35 % (3783496)Peak memory usage: 12 MB
% 14.04/2.35 % (3783496)Instructions burned: 55 (million)
% 14.04/2.35 % (3783498)dis+10_1_si=on:random_seed=3469637704:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2982 on theBenchmark for (2982ds/407Mi)
% 14.04/2.35 % (3783498)Refutation not found, incomplete strategy
% 14.04/2.35 % (3783498)------------------------------
% 14.04/2.35 % (3783498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/2.35 % (3783498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.35 % (3783498)CaDiCaL version: 2.1.3
% 14.04/2.35 % (3783498)Termination reason: Refutation not found, incomplete strategy
% 14.04/2.35 % (3783498)Time elapsed: 0.0000 s
% 14.04/2.35 % (3783498)Peak memory usage: 12 MB
% 14.04/2.35 % (3783498)------------------------------
% 14.04/2.35 % (3783498)------------------------------
% 14.04/2.35 % (3783500)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=3808325894:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/2240Mi)
% 14.04/2.35 % (3783466)Instruction limit reached!
% 14.04/2.35 % (3783466)------------------------------
% 14.04/2.35 % (3783466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/2.35 % (3783466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.35 % (3783466)CaDiCaL version: 2.1.3
% 14.04/2.35 % (3783466)Termination reason: Instruction limit
% 14.04/2.35 % (3783466)Termination phase: Saturation
% 14.04/2.35 % (3783466)Time elapsed: 0.223 s
% 14.04/2.35 % (3783466)Peak memory usage: 14 MB
% 14.04/2.35 % (3783466)Instructions burned: 446 (million)
% 14.04/2.35 % (3783502)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3875886965:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/336Mi)
% 14.04/2.35 % (3783502)Refutation not found, incomplete strategy
% 14.04/2.35 % (3783502)------------------------------
% 14.04/2.35 % (3783502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/2.35 % (3783502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.35 % (3783502)CaDiCaL version: 2.1.3
% 14.04/2.35 % (3783502)Termination reason: Refutation not found, incomplete strategy
% 14.04/2.35 % (3783502)Time elapsed: 0.0000 s
% 14.04/2.35 % (3783502)Peak memory usage: 11 MB
% 14.04/2.35 % (3783502)------------------------------
% 14.04/2.35 % (3783502)------------------------------
% 14.04/2.35 % (3783504)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=3611770463:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2981 on theBenchmark for (2981ds/1142Mi)
% 14.04/2.35 % (3783479)Instruction limit reached!
% 14.04/2.35 % (3783479)------------------------------
% 14.04/2.35 % (3783479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.33/2.62 % (3783479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/2.62 % (3783479)CaDiCaL version: 2.1.3
% 15.33/2.62 % (3783479)Termination reason: Instruction limit
% 15.33/2.62 % (3783479)Termination phase: Saturation
% 15.33/2.62 % (3783479)Time elapsed: 0.210 s
% 15.33/2.62 % (3783479)Peak memory usage: 12 MB
% 15.33/2.62 % (3783479)Instructions burned: 494 (million)
% 15.33/2.62 % (3783506)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=2746620042:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/376Mi)
% 15.33/2.62 % (3783506)Refutation not found, incomplete strategy
% 15.33/2.62 % (3783506)------------------------------
% 15.33/2.62 % (3783506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.33/2.62 % (3783506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/2.62 % (3783506)CaDiCaL version: 2.1.3
% 15.33/2.62 % (3783506)Termination reason: Refutation not found, incomplete strategy
% 15.33/2.62 % (3783506)Time elapsed: 0.001 s
% 15.33/2.62 % (3783506)Peak memory usage: 11 MB
% 15.33/2.62 % (3783506)------------------------------
% 15.33/2.62 % (3783506)------------------------------
% 15.33/2.62 % (3783508)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1357939030:i=766:bd=all:rtra=on_2980 on theBenchmark for (2980ds/766Mi)
% 15.33/2.62 % (3783508)Refutation not found, incomplete strategy
% 15.33/2.62 % (3783508)------------------------------
% 15.33/2.62 % (3783508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.33/2.62 % (3783508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/2.62 % (3783508)CaDiCaL version: 2.1.3
% 15.33/2.62 % (3783508)Termination reason: Refutation not found, incomplete strategy
% 15.33/2.62 % (3783508)Time elapsed: 0.001 s
% 15.33/2.62 % (3783508)Peak memory usage: 12 MB
% 15.33/2.62 % (3783508)Instructions burned: 1 (million)
% 15.33/2.62 % (3783508)------------------------------
% 15.33/2.62 % (3783508)------------------------------
% 15.33/2.62 % (3783484)Instruction limit reached!
% 15.33/2.62 % (3783484)------------------------------
% 15.33/2.62 % (3783484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.33/2.62 % (3783484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/2.62 % (3783484)CaDiCaL version: 2.1.3
% 15.33/2.62 % (3783484)Termination reason: Instruction limit
% 15.33/2.62 % (3783484)Termination phase: Saturation
% 15.33/2.62 % (3783484)Time elapsed: 0.248 s
% 15.33/2.62 % (3783484)Peak memory usage: 12 MB
% 15.33/2.62 % (3783484)Instructions burned: 671 (million)
% 15.33/2.62 % (3783510)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 15.33/2.62 % (3783510)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=4129213927: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_2980 on theBenchmark for (2980ds/959Mi)
% 15.33/2.62 % (3783510)Refutation not found, incomplete strategy
% 15.33/2.62 % (3783510)------------------------------
% 15.33/2.62 % (3783510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.33/2.62 % (3783510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/2.62 % (3783510)CaDiCaL version: 2.1.3
% 15.33/2.62 % (3783510)Termination reason: Refutation not found, incomplete strategy
% 15.33/2.62 % (3783510)Time elapsed: 0.0000 s
% 15.33/2.62 % (3783510)Peak memory usage: 11 MB
% 15.33/2.62 % (3783510)------------------------------
% 15.33/2.62 % (3783510)------------------------------
% 15.33/2.62 % (3783511)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=70664231:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2980 on theBenchmark for (2980ds/6359Mi)
% 15.33/2.62 % (3783513)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2774643284:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2980 on theBenchmark for (2980ds/35Mi)
% 15.33/2.62 % (3783513)Refutation not found, incomplete strategy
% 15.33/2.62 % (3783513)------------------------------
% 15.33/2.62 % (3783513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.33/2.62 % (3783513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/2.62 % (3783513)CaDiCaL version: 2.1.3
% 15.33/2.67 % (3783513)Termination reason: Refutation not found, incomplete strategy
% 15.33/2.67 % (3783513)Time elapsed: 0.0000 s
% 15.33/2.67 % (3783513)Peak memory usage: 11 MB
% 15.33/2.67 % (3783513)------------------------------
% 15.33/2.67 % (3783513)------------------------------
% 15.33/2.67 % (3783516)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2246867170:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2980 on theBenchmark for (2980ds/53Mi)
% 15.33/2.67 % (3783490)Instruction limit reached!
% 15.33/2.67 % (3783490)------------------------------
% 15.33/2.67 % (3783490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.33/2.67 % (3783490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/2.67 % (3783490)CaDiCaL version: 2.1.3
% 15.33/2.67 % (3783490)Termination reason: Instruction limit
% 15.33/2.67 % (3783490)Termination phase: Saturation
% 15.33/2.67 % (3783490)Time elapsed: 0.296 s
% 15.33/2.67 % (3783490)Peak memory usage: 12 MB
% 15.33/2.67 % (3783490)Instructions burned: 696 (million)
% 15.33/2.67 % (3783516)Instruction limit reached!
% 15.33/2.67 % (3783516)------------------------------
% 15.33/2.67 % (3783516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.33/2.67 % (3783516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/2.67 % (3783516)CaDiCaL version: 2.1.3
% 15.33/2.67 % (3783516)Termination reason: Instruction limit
% 15.33/2.67 % (3783516)Termination phase: Saturation
% 15.33/2.67 % (3783516)Time elapsed: 0.029 s
% 15.33/2.67 % (3783516)Peak memory usage: 12 MB
% 15.33/2.67 % (3783516)Instructions burned: 54 (million)
% 15.33/2.67 % (3783518)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=664625110:s2a=on:i=876:s2at=6:nm=2:rtra=on_2979 on theBenchmark for (2979ds/876Mi)
% 15.33/2.67 % (3783519)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=539850956:i=57:ep=R:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/57Mi)
% 15.33/2.67 % (3783488)Instruction limit reached!
% 15.33/2.67 % (3783488)------------------------------
% 15.33/2.67 % (3783488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.33/2.67 % (3783488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/2.67 % (3783488)CaDiCaL version: 2.1.3
% 15.33/2.67 % (3783488)Termination reason: Instruction limit
% 15.33/2.67 % (3783488)Termination phase: Saturation
% 15.33/2.67 % (3783488)Time elapsed: 0.342 s
% 15.33/2.67 % (3783488)Peak memory usage: 12 MB
% 15.33/2.67 % (3783488)Instructions burned: 858 (million)
% 15.33/2.67 % (3783519)Instruction limit reached!
% 15.33/2.67 % (3783519)------------------------------
% 15.33/2.67 % (3783519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.33/2.67 % (3783519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/2.67 % (3783519)CaDiCaL version: 2.1.3
% 15.33/2.67 % (3783519)Termination reason: Instruction limit
% 15.33/2.67 % (3783519)Termination phase: Saturation
% 15.33/2.67 % (3783519)Time elapsed: 0.028 s
% 15.33/2.67 % (3783519)Peak memory usage: 12 MB
% 15.33/2.67 % (3783519)Instructions burned: 59 (million)
% 15.33/2.67 % (3783522)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 15.33/2.67 % (3783522)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=4256255346:i=306:bd=all:rtra=on_2979 on theBenchmark for (2979ds/306Mi)
% 15.33/2.67 % (3783522)Refutation not found, incomplete strategy
% 15.33/2.67 % (3783522)------------------------------
% 15.33/2.67 % (3783522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.33/2.67 % (3783522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/2.67 % (3783522)CaDiCaL version: 2.1.3
% 15.33/2.67 % (3783522)Termination reason: Refutation not found, incomplete strategy
% 15.33/2.67 % (3783522)Time elapsed: 0.001 s
% 15.33/2.67 % (3783522)Peak memory usage: 11 MB
% 15.33/2.67 % (3783522)Instructions burned: 1 (million)
% 15.33/2.67 % (3783522)------------------------------
% 15.33/2.67 % (3783522)------------------------------
% 15.33/2.67 % (3783523)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=496410977:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/262Mi)
% 15.33/2.67 % (3783523)Refutation not found, incomplete strategy
% 15.33/2.67 % (3783523)------------------------------
% 15.33/2.67 % (3783523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.77 % (3783523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.77 % (3783523)CaDiCaL version: 2.1.3
% 16.79/2.77 % (3783523)Termination reason: Refutation not found, incomplete strategy
% 16.79/2.77 % (3783523)Time elapsed: 0.001 s
% 16.79/2.77 % (3783523)Peak memory usage: 11 MB
% 16.79/2.77 % (3783523)------------------------------
% 16.79/2.77 % (3783523)------------------------------
% 16.79/2.77 % (3783525)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 16.79/2.77 % (3783525)ott+1002_16_sil=128000:si=on:random_seed=2766423024:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2978 on theBenchmark for (2978ds/409Mi)
% 16.79/2.77 % (3783527)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1392794792:s2a=on:i=381:rtra=on_2978 on theBenchmark for (2978ds/381Mi)
% 16.79/2.77 % (3783525)Instruction limit reached!
% 16.79/2.77 % (3783525)------------------------------
% 16.79/2.77 % (3783525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.77 % (3783525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.77 % (3783525)CaDiCaL version: 2.1.3
% 16.79/2.77 % (3783525)Termination reason: Instruction limit
% 16.79/2.77 % (3783525)Termination phase: Saturation
% 16.79/2.77 % (3783525)Time elapsed: 0.155 s
% 16.79/2.77 % (3783525)Peak memory usage: 13 MB
% 16.79/2.77 % (3783525)Instructions burned: 410 (million)
% 16.79/2.77 % (3783530)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3760461363:cond=on:i=324:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/324Mi)
% 16.79/2.77 % (3783527)Instruction limit reached!
% 16.79/2.77 % (3783527)------------------------------
% 16.79/2.77 % (3783527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.77 % (3783527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.77 % (3783527)CaDiCaL version: 2.1.3
% 16.79/2.77 % (3783527)Termination reason: Instruction limit
% 16.79/2.77 % (3783527)Termination phase: Saturation
% 16.79/2.77 % (3783527)Time elapsed: 0.168 s
% 16.79/2.77 % (3783527)Peak memory usage: 12 MB
% 16.79/2.77 % (3783527)Instructions burned: 383 (million)
% 16.79/2.77 % (3783532)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=579818181:i=240:kws=inv_precedence:rtra=on_2976 on theBenchmark for (2976ds/240Mi)
% 16.79/2.77 % (3783532)Refutation not found, incomplete strategy
% 16.79/2.77 % (3783532)------------------------------
% 16.79/2.77 % (3783532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.77 % (3783532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.77 % (3783532)CaDiCaL version: 2.1.3
% 16.79/2.77 % (3783532)Termination reason: Refutation not found, incomplete strategy
% 16.79/2.77 % (3783532)Time elapsed: 0.001 s
% 16.79/2.77 % (3783532)Peak memory usage: 11 MB
% 16.79/2.77 % (3783532)Instructions burned: 1 (million)
% 16.79/2.77 % (3783532)------------------------------
% 16.79/2.77 % (3783532)------------------------------
% 16.79/2.77 % (3783504)Instruction limit reached!
% 16.79/2.77 % (3783504)------------------------------
% 16.79/2.77 % (3783504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.77 % (3783504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.77 % (3783504)CaDiCaL version: 2.1.3
% 16.79/2.77 % (3783504)Termination reason: Instruction limit
% 16.79/2.77 % (3783504)Termination phase: Saturation
% 16.79/2.77 % (3783504)Time elapsed: 0.457 s
% 16.79/2.77 % (3783504)Peak memory usage: 14 MB
% 16.79/2.77 % (3783504)Instructions burned: 1143 (million)
% 16.79/2.77 % (3783534)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.79/2.77 % (3783534)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3325823422:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/124Mi)
% 16.79/2.77 % (3783535)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=4221063246:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2976 on theBenchmark for (2976ds/223Mi)
% 16.79/2.77 % (3783534)Instruction limit reached!
% 16.79/2.77 % (3783534)------------------------------
% 16.79/2.77 % (3783534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.77 % (3783534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/2.92 % (3783534)CaDiCaL version: 2.1.3
% 17.66/2.92 % (3783534)Termination reason: Instruction limit
% 17.66/2.92 % (3783534)Termination phase: Saturation
% 17.66/2.92 % (3783534)Time elapsed: 0.047 s
% 17.66/2.92 % (3783534)Peak memory usage: 11 MB
% 17.66/2.92 % (3783534)Instructions burned: 124 (million)
% 17.66/2.92 % (3783500)Instruction limit reached!
% 17.66/2.92 % (3783500)------------------------------
% 17.66/2.92 % (3783500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.66/2.92 % (3783500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/2.92 % (3783500)CaDiCaL version: 2.1.3
% 17.66/2.92 % (3783500)Termination reason: Instruction limit
% 17.66/2.92 % (3783500)Termination phase: Saturation
% 17.66/2.92 % (3783500)Time elapsed: 0.600 s
% 17.66/2.92 % (3783500)Peak memory usage: 17 MB
% 17.66/2.92 % (3783500)Instructions burned: 2241 (million)
% 17.66/2.92 % (3783538)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=380288856:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2976 on theBenchmark for (2976ds/282Mi)
% 17.66/2.92 % (3783539)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=3716667655:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/464Mi)
% 17.66/2.92 % (3783539)Refutation not found, incomplete strategy
% 17.66/2.92 % (3783539)------------------------------
% 17.66/2.92 % (3783539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.66/2.92 % (3783539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/2.92 % (3783539)CaDiCaL version: 2.1.3
% 17.66/2.92 % (3783539)Termination reason: Refutation not found, incomplete strategy
% 17.66/2.92 % (3783539)Time elapsed: 0.0000 s
% 17.66/2.92 % (3783539)Peak memory usage: 11 MB
% 17.66/2.92 % (3783539)Instructions burned: 1 (million)
% 17.66/2.92 % (3783539)------------------------------
% 17.66/2.92 % (3783539)------------------------------
% 17.66/2.92 % (3783530)Instruction limit reached!
% 17.66/2.92 % (3783530)------------------------------
% 17.66/2.92 % (3783530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.66/2.92 % (3783530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/2.92 % (3783530)CaDiCaL version: 2.1.3
% 17.66/2.92 % (3783530)Termination reason: Instruction limit
% 17.66/2.92 % (3783530)Termination phase: Saturation
% 17.66/2.92 % (3783530)Time elapsed: 0.115 s
% 17.66/2.92 % (3783530)Peak memory usage: 12 MB
% 17.66/2.92 % (3783530)Instructions burned: 325 (million)
% 17.66/2.92 % (3783535)Instruction limit reached!
% 17.66/2.92 % (3783535)------------------------------
% 17.66/2.92 % (3783535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.66/2.92 % (3783535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/2.92 % (3783535)CaDiCaL version: 2.1.3
% 17.66/2.92 % (3783535)Termination reason: Instruction limit
% 17.66/2.92 % (3783535)Termination phase: Saturation
% 17.66/2.92 % (3783535)Time elapsed: 0.079 s
% 17.66/2.92 % (3783535)Peak memory usage: 13 MB
% 17.66/2.92 % (3783535)Instructions burned: 224 (million)
% 17.66/2.92 % (3783518)Instruction limit reached!
% 17.66/2.92 % (3783518)------------------------------
% 17.66/2.92 % (3783518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.66/2.92 % (3783518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/2.92 % (3783518)CaDiCaL version: 2.1.3
% 17.66/2.92 % (3783518)Termination reason: Instruction limit
% 17.66/2.92 % (3783518)Termination phase: Saturation
% 17.66/2.92 % (3783518)Time elapsed: 0.368 s
% 17.66/2.92 % (3783518)Peak memory usage: 13 MB
% 17.66/2.92 % (3783518)Instructions burned: 877 (million)
% 17.66/2.92 % (3783542)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=4250697090:i=88:s2at=3:nm=2:rtra=on:rawr=on_2975 on theBenchmark for (2975ds/88Mi)
% 17.66/2.92 % (3783543)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3716169228:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2975 on theBenchmark for (2975ds/280Mi)
% 17.66/2.92 % (3783544)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 17.66/2.92 % (3783545)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 17.66/2.92 % (3783545)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 19.84/3.12 % (3783544)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3365204396:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/4386Mi)
% 19.84/3.12 % (3783545)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=3292652617:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2975 on theBenchmark for (2975ds/483Mi)
% 19.84/3.12 % (3783545)Refutation not found, incomplete strategy
% 19.84/3.12 % (3783545)------------------------------
% 19.84/3.12 % (3783545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.84/3.12 % (3783545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.12 % (3783545)CaDiCaL version: 2.1.3
% 19.84/3.12 % (3783545)Termination reason: Refutation not found, incomplete strategy
% 19.84/3.12 % (3783545)Time elapsed: 0.001 s
% 19.84/3.12 % (3783545)Peak memory usage: 12 MB
% 19.84/3.12 % (3783545)------------------------------
% 19.84/3.12 % (3783545)------------------------------
% 19.84/3.12 % (3783550)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1359752769:i=73:rtra=on_2975 on theBenchmark for (2975ds/73Mi)
% 19.84/3.12 % (3783550)Refutation not found, incomplete strategy
% 19.84/3.12 % (3783550)------------------------------
% 19.84/3.12 % (3783550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.84/3.12 % (3783550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.12 % (3783550)CaDiCaL version: 2.1.3
% 19.84/3.12 % (3783550)Termination reason: Refutation not found, incomplete strategy
% 19.84/3.12 % (3783550)Time elapsed: 0.001 s
% 19.84/3.12 % (3783550)Peak memory usage: 11 MB
% 19.84/3.12 % (3783550)Instructions burned: 1 (million)
% 19.84/3.12 % (3783550)------------------------------
% 19.84/3.12 % (3783550)------------------------------
% 19.84/3.12 % (3783542)Instruction limit reached!
% 19.84/3.12 % (3783542)------------------------------
% 19.84/3.12 % (3783542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.84/3.12 % (3783542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.13 % (3783542)CaDiCaL version: 2.1.3
% 19.84/3.13 % (3783542)Termination reason: Instruction limit
% 19.84/3.13 % (3783542)Termination phase: Saturation
% 19.84/3.13 % (3783542)Time elapsed: 0.042 s
% 19.84/3.13 % (3783542)Peak memory usage: 12 MB
% 19.84/3.13 % (3783542)Instructions burned: 88 (million)
% 19.84/3.13 % (3783552)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=200020632:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2975 on theBenchmark for (2975ds/176Mi)
% 19.84/3.13 % (3783553)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 19.84/3.13 % (3783553)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=680092009:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2975 on theBenchmark for (2975ds/39Mi)
% 19.84/3.13 % (3783553)Instruction limit reached!
% 19.84/3.13 % (3783553)------------------------------
% 19.84/3.13 % (3783553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.84/3.13 % (3783553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.13 % (3783553)CaDiCaL version: 2.1.3
% 19.84/3.13 % (3783553)Termination reason: Instruction limit
% 19.84/3.13 % (3783553)Termination phase: Saturation
% 19.84/3.13 % (3783553)Time elapsed: 0.020 s
% 19.84/3.13 % (3783553)Peak memory usage: 12 MB
% 19.84/3.13 % (3783553)Instructions burned: 40 (million)
% 19.84/3.13 % (3783556)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=759547816:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/708Mi)
% 19.84/3.13 % (3783538)Instruction limit reached!
% 19.84/3.13 % (3783538)------------------------------
% 19.84/3.13 % (3783538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.84/3.13 % (3783538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.13 % (3783538)CaDiCaL version: 2.1.3
% 19.84/3.13 % (3783538)Termination reason: Instruction limit
% 19.84/3.13 % (3783538)Termination phase: Saturation
% 19.84/3.13 % (3783538)Time elapsed: 0.125 s
% 19.84/3.13 % (3783538)Peak memory usage: 12 MB
% 19.84/3.13 % (3783538)Instructions burned: 283 (million)
% 21.02/3.20 % (3783558)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
% 21.02/3.20 % (3783558)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=526496899:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/252Mi)
% 21.02/3.20 % (3783543)Instruction limit reached!
% 21.02/3.20 % (3783543)------------------------------
% 21.02/3.20 % (3783543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.20 % (3783543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.20 % (3783543)CaDiCaL version: 2.1.3
% 21.02/3.20 % (3783543)Termination reason: Instruction limit
% 21.02/3.20 % (3783543)Termination phase: Saturation
% 21.02/3.20 % (3783543)Time elapsed: 0.131 s
% 21.02/3.20 % (3783543)Peak memory usage: 12 MB
% 21.02/3.20 % (3783543)Instructions burned: 280 (million)
% 21.02/3.20 % (3783552)Instruction limit reached!
% 21.02/3.20 % (3783552)------------------------------
% 21.02/3.20 % (3783552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.20 % (3783552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.20 % (3783552)CaDiCaL version: 2.1.3
% 21.02/3.20 % (3783552)Termination reason: Instruction limit
% 21.02/3.20 % (3783552)Termination phase: Saturation
% 21.02/3.20 % (3783552)Time elapsed: 0.079 s
% 21.02/3.20 % (3783552)Peak memory usage: 12 MB
% 21.02/3.20 % (3783552)Instructions burned: 177 (million)
% 21.02/3.20 % (3783561)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 21.02/3.20 % (3783560)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2337634225:i=823:fsr=off:rtra=on_2974 on theBenchmark for (2974ds/823Mi)
% 21.02/3.20 % (3783561)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=3237592206:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/16202Mi)
% 21.02/3.20 % (3783561)Refutation not found, incomplete strategy
% 21.02/3.20 % (3783561)------------------------------
% 21.02/3.20 % (3783561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.20 % (3783561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.20 % (3783561)CaDiCaL version: 2.1.3
% 21.02/3.20 % (3783561)Termination reason: Refutation not found, incomplete strategy
% 21.02/3.20 % (3783561)Time elapsed: 0.001 s
% 21.02/3.20 % (3783561)Peak memory usage: 11 MB
% 21.02/3.20 % (3783561)Instructions burned: 1 (million)
% 21.02/3.20 % (3783561)------------------------------
% 21.02/3.20 % (3783561)------------------------------
% 21.02/3.20 % (3783564)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=528037228:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/300Mi)
% 21.02/3.20 % (3783558)Instruction limit reached!
% 21.02/3.20 % (3783558)------------------------------
% 21.02/3.20 % (3783558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.20 % (3783558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.20 % (3783558)CaDiCaL version: 2.1.3
% 21.02/3.20 % (3783558)Termination reason: Instruction limit
% 21.02/3.20 % (3783558)Termination phase: Saturation
% 21.02/3.20 % (3783558)Time elapsed: 0.104 s
% 21.02/3.20 % (3783558)Peak memory usage: 12 MB
% 21.02/3.20 % (3783558)Instructions burned: 254 (million)
% 21.02/3.20 % (3783566)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 21.02/3.20 % (3783566)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 21.02/3.20 % (3783566)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3930088738:i=177:add=on:bd=preordered:rtra=on:rawr=on_2973 on theBenchmark for (2973ds/177Mi)
% 21.02/3.20 % (3783556)Instruction limit reached!
% 21.02/3.20 % (3783556)------------------------------
% 21.02/3.20 % (3783556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.20 % (3783556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.20 % (3783556)CaDiCaL version: 2.1.3
% 21.02/3.20 % (3783556)Termination reason: Instruction limit
% 21.94/3.40 % (3783556)Termination phase: Saturation
% 21.94/3.40 % (3783556)Time elapsed: 0.152 s
% 21.94/3.40 % (3783556)Peak memory usage: 14 MB
% 21.94/3.40 % (3783556)Instructions burned: 709 (million)
% 21.94/3.40 % (3783568)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1201870320:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/715Mi)
% 21.94/3.40 % (3783568)Refutation not found, incomplete strategy
% 21.94/3.40 % (3783568)------------------------------
% 21.94/3.40 % (3783568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.94/3.40 % (3783568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.94/3.40 % (3783568)CaDiCaL version: 2.1.3
% 21.94/3.40 % (3783568)Termination reason: Refutation not found, incomplete strategy
% 21.94/3.40 % (3783568)Time elapsed: 0.0000 s
% 21.94/3.40 % (3783568)Peak memory usage: 11 MB
% 21.94/3.40 % (3783568)Instructions burned: 2 (million)
% 21.94/3.40 % (3783568)------------------------------
% 21.94/3.40 % (3783568)------------------------------
% 21.94/3.40 % (3783570)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 21.94/3.40 % (3783570)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 21.94/3.40 % (3783570)dis+11_1_sil=128000:plsqc=3:cnfonf=lazy_gen:si=on:sp=const_max:lma=off:plsqr=19,3:lcm=predicate:uwa=off:fd=preordered:nwc=1:random_seed=3442461924:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2973 on theBenchmark for (2973ds/230Mi)
% 21.94/3.40 % (3783570)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.94/3.40 % (3783564)Instruction limit reached!
% 21.94/3.40 % (3783564)------------------------------
% 21.94/3.40 % (3783564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.94/3.40 % (3783564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.94/3.40 % (3783564)CaDiCaL version: 2.1.3
% 21.94/3.40 % (3783564)Termination reason: Instruction limit
% 21.94/3.40 % (3783564)Termination phase: Saturation
% 21.94/3.40 % (3783564)Time elapsed: 0.127 s
% 21.94/3.40 % (3783564)Peak memory usage: 12 MB
% 21.94/3.40 % (3783564)Instructions burned: 301 (million)
% 21.94/3.40 % (3783572)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2401369869:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2972 on theBenchmark for (2972ds/606Mi)
% 21.94/3.40 % (3783566)Instruction limit reached!
% 21.94/3.40 % (3783566)------------------------------
% 21.94/3.40 % (3783566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.94/3.40 % (3783566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.94/3.40 % (3783566)CaDiCaL version: 2.1.3
% 21.94/3.40 % (3783566)Termination reason: Instruction limit
% 21.94/3.40 % (3783566)Termination phase: Saturation
% 21.94/3.40 % (3783566)Time elapsed: 0.081 s
% 21.94/3.40 % (3783566)Peak memory usage: 12 MB
% 21.94/3.40 % (3783566)Instructions burned: 179 (million)
% 21.94/3.40 % (3783570)Instruction limit reached!
% 21.94/3.40 % (3783570)------------------------------
% 21.94/3.40 % (3783570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.94/3.40 % (3783570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.94/3.40 % (3783570)CaDiCaL version: 2.1.3
% 21.94/3.40 % (3783570)Termination reason: Instruction limit
% 21.94/3.40 % (3783570)Termination phase: Saturation
% 21.94/3.40 % (3783570)Time elapsed: 0.057 s
% 21.94/3.40 % (3783570)Peak memory usage: 12 MB
% 21.94/3.40 % (3783570)Instructions burned: 234 (million)
% 21.94/3.40 % (3783574)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 21.94/3.40 % (3783575)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=594101847:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2972 on theBenchmark for (2972ds/445Mi)
% 21.94/3.40 % (3783574)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3325500924:lrd=on:i=841:nm=0:rtra=on_2972 on theBenchmark for (2972ds/841Mi)
% 21.94/3.40 % (3783575)Instruction limit reached!
% 21.94/3.40 % (3783575)------------------------------
% 21.94/3.40 % (3783575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.94/3.40 % (3783575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.94/3.44 % (3783575)CaDiCaL version: 2.1.3
% 21.94/3.44 % (3783575)Termination reason: Instruction limit
% 21.94/3.44 % (3783575)Termination phase: Saturation
% 21.94/3.44 % (3783575)Time elapsed: 0.119 s
% 21.94/3.44 % (3783575)Peak memory usage: 14 MB
% 21.94/3.44 % (3783575)Instructions burned: 450 (million)
% 21.94/3.44 % (3783578)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=4079802222:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2971 on theBenchmark for (2971ds/71Mi)
% 21.94/3.44 % (3783560)Instruction limit reached!
% 21.94/3.44 % (3783560)------------------------------
% 21.94/3.44 % (3783560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.94/3.44 % (3783560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.94/3.44 % (3783560)CaDiCaL version: 2.1.3
% 21.94/3.44 % (3783560)Termination reason: Instruction limit
% 21.94/3.44 % (3783560)Termination phase: Saturation
% 21.94/3.44 % (3783560)Time elapsed: 0.343 s
% 21.94/3.44 % (3783560)Peak memory usage: 13 MB
% 21.94/3.44 % (3783560)Instructions burned: 823 (million)
% 21.94/3.44 % (3783578)Instruction limit reached!
% 21.94/3.44 % (3783578)------------------------------
% 21.94/3.44 % (3783578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.94/3.44 % (3783578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.94/3.44 % (3783578)CaDiCaL version: 2.1.3
% 21.94/3.44 % (3783578)Termination reason: Instruction limit
% 21.94/3.44 % (3783578)Termination phase: Saturation
% 21.94/3.44 % (3783578)Time elapsed: 0.020 s
% 21.94/3.44 % (3783578)Peak memory usage: 12 MB
% 21.94/3.44 % (3783578)Instructions burned: 73 (million)
% 21.94/3.44 % (3783580)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 21.94/3.44 % (3783580)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 21.94/3.44 % (3783580)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1415610841:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2970 on theBenchmark for (2970ds/100Mi)
% 21.94/3.44 % (3783581)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 21.94/3.44 % (3783581)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=1626542121:i=1352:add=on:aac=none:rtra=on_2970 on theBenchmark for (2970ds/1352Mi)
% 21.94/3.44 % (3783581)Refutation not found, incomplete strategy
% 21.94/3.44 % (3783581)------------------------------
% 21.94/3.44 % (3783581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.94/3.44 % (3783581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.94/3.44 % (3783581)CaDiCaL version: 2.1.3
% 21.94/3.44 % (3783581)Termination reason: Refutation not found, incomplete strategy
% 21.94/3.44 % (3783581)Time elapsed: 0.002 s
% 21.94/3.44 % (3783581)Peak memory usage: 11 MB
% 21.94/3.44 % (3783581)Instructions burned: 3 (million)
% 21.94/3.44 % (3783581)------------------------------
% 21.94/3.44 % (3783581)------------------------------
% 21.94/3.44 % (3783580)Instruction limit reached!
% 21.94/3.44 % (3783580)------------------------------
% 21.94/3.44 % (3783580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.94/3.44 % (3783580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.94/3.44 % (3783580)CaDiCaL version: 2.1.3
% 21.94/3.44 % (3783580)Termination reason: Instruction limit
% 21.94/3.44 % (3783580)Termination phase: Saturation
% 21.94/3.44 % (3783580)Time elapsed: 0.025 s
% 21.94/3.44 % (3783580)Peak memory usage: 12 MB
% 21.94/3.44 % (3783580)Instructions burned: 100 (million)
% 21.94/3.44 % (3783584)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=743761559:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2970 on theBenchmark for (2970ds/646Mi)
% 21.94/3.44 % (3783585)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=2715044731:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2970 on theBenchmark for (2970ds/1924Mi)
% 21.94/3.44 % (3783585)Refutation not found, incomplete strategy
% 21.94/3.47 % (3783585)------------------------------
% 21.94/3.47 % (3783585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.94/3.47 % (3783585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.94/3.47 % (3783585)CaDiCaL version: 2.1.3
% 21.94/3.47 % (3783585)Termination reason: Refutation not found, incomplete strategy
% 21.94/3.47 % (3783585)Time elapsed: 0.0000 s
% 21.94/3.47 % (3783585)Peak memory usage: 11 MB
% 21.94/3.47 % (3783585)------------------------------
% 21.94/3.47 % (3783585)------------------------------
% 21.94/3.47 % (3783588)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2351049728:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2970 on theBenchmark for (2970ds/984Mi)
% 21.94/3.47 % (3783588)Refutation not found, incomplete strategy
% 21.94/3.47 % (3783588)------------------------------
% 21.94/3.47 % (3783588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.94/3.47 % (3783588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.94/3.47 % (3783588)CaDiCaL version: 2.1.3
% 21.94/3.47 % (3783588)Termination reason: Refutation not found, incomplete strategy
% 21.94/3.47 % (3783588)Time elapsed: 0.001 s
% 21.94/3.47 % (3783588)Peak memory usage: 11 MB
% 21.94/3.47 % (3783588)Instructions burned: 1 (million)
% 21.94/3.47 % (3783588)------------------------------
% 21.94/3.47 % (3783588)------------------------------
% 21.94/3.47 % (3783590)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=3539356704:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2970 on theBenchmark for (2970ds/592Mi)
% 21.94/3.47 % (3783572)Instruction limit reached!
% 21.94/3.47 % (3783572)------------------------------
% 21.94/3.47 % (3783572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.94/3.47 % (3783572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.94/3.47 % (3783572)CaDiCaL version: 2.1.3
% 21.94/3.47 % (3783572)Termination reason: Instruction limit
% 21.94/3.47 % (3783572)Termination phase: Saturation
% 21.94/3.47 % (3783572)Time elapsed: 0.282 s
% 21.94/3.47 % (3783572)Peak memory usage: 12 MB
% 21.94/3.47 % (3783572)Instructions burned: 608 (million)
% 21.94/3.47 % (3783592)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=3446108963:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2969 on theBenchmark for (2969ds/872Mi)
% 21.94/3.47 % (3783592)Refutation not found, incomplete strategy
% 21.94/3.47 % (3783592)------------------------------
% 21.94/3.47 % (3783592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.94/3.47 % (3783592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.94/3.47 % (3783592)CaDiCaL version: 2.1.3
% 21.94/3.47 % (3783592)Termination reason: Refutation not found, incomplete strategy
% 21.94/3.47 % (3783592)Time elapsed: 0.001 s
% 21.94/3.47 % (3783592)Peak memory usage: 11 MB
% 21.94/3.47 % (3783592)------------------------------
% 21.94/3.47 % (3783592)------------------------------
% 21.94/3.47 % (3783594)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 21.94/3.47 % (3783594)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=2576903331:i=999:add=on:rtra=on_2969 on theBenchmark for (2969ds/999Mi)
% 21.94/3.47 % (3783574)Instruction limit reached!
% 21.94/3.47 % (3783574)------------------------------
% 21.94/3.47 % (3783574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.94/3.47 % (3783574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.94/3.47 % (3783574)CaDiCaL version: 2.1.3
% 21.94/3.47 % (3783574)Termination reason: Instruction limit
% 21.94/3.47 % (3783574)Termination phase: Saturation
% 21.94/3.47 % (3783574)Time elapsed: 0.372 s
% 21.94/3.47 % (3783574)Peak memory usage: 13 MB
% 21.94/3.47 % (3783574)Instructions burned: 842 (million)
% 21.94/3.47 % (3783596)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 21.94/3.47 % (3783596)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=3111634197:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2968 on theBenchmark for (2968ds/244Mi)
% 21.94/3.47 % (3783596)Refutation not found, incomplete strategy
% 21.94/3.47 % (3783596)------------------------------
% 23.85/3.77 % (3783596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.85/3.77 % (3783596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.85/3.77 % (3783596)CaDiCaL version: 2.1.3
% 23.85/3.77 % (3783596)Termination reason: Refutation not found, incomplete strategy
% 23.85/3.77 % (3783596)Time elapsed: 0.002 s
% 23.85/3.77 % (3783596)Peak memory usage: 11 MB
% 23.85/3.77 % (3783596)Instructions burned: 2 (million)
% 23.85/3.77 % (3783596)------------------------------
% 23.85/3.77 % (3783596)------------------------------
% 23.85/3.77 % (3783590)Instruction limit reached!
% 23.85/3.77 % (3783590)------------------------------
% 23.85/3.77 % (3783590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.85/3.77 % (3783590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.85/3.77 % (3783590)CaDiCaL version: 2.1.3
% 23.85/3.77 % (3783590)Termination reason: Instruction limit
% 23.85/3.77 % (3783590)Termination phase: Saturation
% 23.85/3.77 % (3783590)Time elapsed: 0.163 s
% 23.85/3.77 % (3783590)Peak memory usage: 12 MB
% 23.85/3.77 % (3783590)Instructions burned: 597 (million)
% 23.85/3.77 % (3783599)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1242461685:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/7795Mi)
% 23.85/3.77 % (3783599)Refutation not found, incomplete strategy
% 23.85/3.77 % (3783599)------------------------------
% 23.85/3.77 % (3783599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.85/3.77 % (3783599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.85/3.77 % (3783599)CaDiCaL version: 2.1.3
% 23.85/3.77 % (3783599)Termination reason: Refutation not found, incomplete strategy
% 23.85/3.77 % (3783599)Time elapsed: 0.0000 s
% 23.85/3.77 % (3783599)Peak memory usage: 11 MB
% 23.85/3.77 % (3783599)------------------------------
% 23.85/3.77 % (3783599)------------------------------
% 23.85/3.77 % (3783598)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=1607202777:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2968 on theBenchmark for (2968ds/113Mi)
% 23.85/3.77 % (3783584)Instruction limit reached!
% 23.85/3.77 % (3783584)------------------------------
% 23.85/3.77 % (3783584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.85/3.77 % (3783584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.85/3.77 % (3783584)CaDiCaL version: 2.1.3
% 23.85/3.77 % (3783584)Termination reason: Instruction limit
% 23.85/3.77 % (3783584)Termination phase: Saturation
% 23.85/3.77 % (3783584)Time elapsed: 0.223 s
% 23.85/3.77 % (3783584)Peak memory usage: 14 MB
% 23.85/3.77 % (3783584)Instructions burned: 648 (million)
% 23.85/3.77 % (3783598)Refutation not found, incomplete strategy
% 23.85/3.77 % (3783598)------------------------------
% 23.85/3.77 % (3783598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.85/3.77 % (3783598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.85/3.77 % (3783598)CaDiCaL version: 2.1.3
% 23.85/3.77 % (3783598)Termination reason: Refutation not found, incomplete strategy
% 23.85/3.77 % (3783598)Time elapsed: 0.001 s
% 23.85/3.77 % (3783598)Peak memory usage: 11 MB
% 23.85/3.77 % (3783598)Instructions burned: 1 (million)
% 23.85/3.77 % (3783598)------------------------------
% 23.85/3.77 % (3783598)------------------------------
% 23.85/3.77 % (3783601)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3181076692:st=2:i=5026:sd=1:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/5026Mi)
% 23.85/3.77 % (3783601)Refutation not found, incomplete strategy
% 23.85/3.77 % (3783601)------------------------------
% 23.85/3.77 % (3783601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.85/3.77 % (3783601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.85/3.77 % (3783601)CaDiCaL version: 2.1.3
% 23.85/3.77 % (3783601)Termination reason: Refutation not found, incomplete strategy
% 23.85/3.77 % (3783601)Time elapsed: 0.0000 s
% 23.85/3.77 % (3783601)Peak memory usage: 11 MB
% 23.85/3.77 % (3783601)------------------------------
% 23.85/3.77 % (3783601)------------------------------
% 23.85/3.77 % (3783603)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 23.85/3.77 % (3783606)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 23.85/3.77 % (3783606)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=3725101127:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2968 on theBenchmark for (2968ds/52Mi)
% 26.92/4.09 % (3783603)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=3318995837:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2968 on theBenchmark for (2968ds/763Mi)
% 26.92/4.09 % (3783603)Refutation not found, incomplete strategy
% 26.92/4.09 % (3783603)------------------------------
% 26.92/4.09 % (3783603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.92/4.09 % (3783603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.92/4.09 % (3783604)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4002280903:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2968 on theBenchmark for (2968ds/1144Mi)
% 26.92/4.09 % (3783603)CaDiCaL version: 2.1.3
% 26.92/4.09 % (3783603)Termination reason: Refutation not found, incomplete strategy
% 26.92/4.09 % (3783603)Time elapsed: 0.001 s
% 26.92/4.09 % (3783603)Peak memory usage: 11 MB
% 26.92/4.09 % (3783603)Instructions burned: 1 (million)
% 26.92/4.09 % (3783603)------------------------------
% 26.92/4.09 % (3783603)------------------------------
% 26.92/4.09 % (3783604)Refutation not found, incomplete strategy
% 26.92/4.09 % (3783604)------------------------------
% 26.92/4.09 % (3783604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.92/4.09 % (3783604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.92/4.09 % (3783604)CaDiCaL version: 2.1.3
% 26.92/4.09 % (3783604)Termination reason: Refutation not found, incomplete strategy
% 26.92/4.09 % (3783604)Time elapsed: 0.0000 s
% 26.92/4.09 % (3783604)Peak memory usage: 11 MB
% 26.92/4.09 % (3783606)Refutation not found, incomplete strategy
% 26.92/4.09 % (3783606)------------------------------
% 26.92/4.09 % (3783606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.92/4.09 % (3783606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.92/4.09 % (3783606)CaDiCaL version: 2.1.3
% 26.92/4.09 % (3783606)Termination reason: Refutation not found, incomplete strategy
% 26.92/4.09 % (3783606)Time elapsed: 0.003 s
% 26.92/4.09 % (3783606)Peak memory usage: 12 MB
% 26.92/4.09 % (3783606)Instructions burned: 12 (million)
% 26.92/4.09 % (3783604)------------------------------
% 26.92/4.09 % (3783604)------------------------------
% 26.92/4.09 % (3783606)------------------------------
% 26.92/4.09 % (3783606)------------------------------
% 26.92/4.09 % (3783612)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2053074979:i=6395:sd=1:rtra=on:ss=axioms_2967 on theBenchmark for (2967ds/6395Mi)
% 26.92/4.09 % (3783612)Refutation not found, incomplete strategy
% 26.92/4.09 % (3783612)------------------------------
% 26.92/4.09 % (3783612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.92/4.09 % (3783612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.92/4.09 % (3783612)CaDiCaL version: 2.1.3
% 26.92/4.09 % (3783612)Termination reason: Refutation not found, incomplete strategy
% 26.92/4.09 % (3783612)Time elapsed: 0.0000 s
% 26.92/4.09 % (3783612)Peak memory usage: 11 MB
% 26.92/4.09 % (3783612)------------------------------
% 26.92/4.09 % (3783612)------------------------------
% 26.92/4.09 % (3783610)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=2470569553:i=1724:fsr=off:rtra=on:fe=abstraction_2967 on theBenchmark for (2967ds/1724Mi)
% 26.92/4.09 % (3783611)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=161915432:i=439:add=on:slsql=off:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/439Mi)
% 26.92/4.09 % (3783614)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 26.92/4.09 % (3783614)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=930441592:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2967 on theBenchmark for (2967ds/6762Mi)
% 26.92/4.09 % (3783614)Refutation not found, incomplete strategy
% 26.92/4.09 % (3783614)------------------------------
% 26.92/4.09 % (3783614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.92/4.09 % (3783614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.92/4.09 % (3783614)CaDiCaL version: 2.1.3
% 26.92/4.09 % (3783614)Termination reason: Refutation not found, incomplete strategy
% 28.35/4.31 % (3783614)Time elapsed: 0.0000 s
% 28.35/4.31 % (3783614)Peak memory usage: 11 MB
% 28.35/4.31 % (3783614)------------------------------
% 28.35/4.31 % (3783614)------------------------------
% 28.35/4.31 % (3783618)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 28.35/4.31 % (3783618)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=4218911601:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2967 on theBenchmark for (2967ds/376Mi)
% 28.35/4.31 % (3783611)Instruction limit reached!
% 28.35/4.31 % (3783611)------------------------------
% 28.35/4.31 % (3783611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.35/4.31 % (3783611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.35/4.31 % (3783611)CaDiCaL version: 2.1.3
% 28.35/4.31 % (3783611)Termination reason: Instruction limit
% 28.35/4.31 % (3783611)Termination phase: Saturation
% 28.35/4.31 % (3783611)Time elapsed: 0.157 s
% 28.35/4.31 % (3783611)Peak memory usage: 12 MB
% 28.35/4.31 % (3783611)Instructions burned: 441 (million)
% 28.35/4.31 % (3783620)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=1917469926:i=965:bd=all:ins=4:rtra=on_2966 on theBenchmark for (2966ds/965Mi)
% 28.35/4.31 % (3783618)Instruction limit reached!
% 28.35/4.31 % (3783618)------------------------------
% 28.35/4.31 % (3783618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.35/4.31 % (3783618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.35/4.31 % (3783618)CaDiCaL version: 2.1.3
% 28.35/4.31 % (3783618)Termination reason: Instruction limit
% 28.35/4.31 % (3783618)Termination phase: Saturation
% 28.35/4.31 % (3783618)Time elapsed: 0.195 s
% 28.35/4.31 % (3783618)Peak memory usage: 14 MB
% 28.35/4.31 % (3783618)Instructions burned: 376 (million)
% 28.35/4.31 % (3783622)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2472979106:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2965 on theBenchmark for (2965ds/5013Mi)
% 28.35/4.31 % (3783622)Refutation not found, incomplete strategy
% 28.35/4.31 % (3783622)------------------------------
% 28.35/4.31 % (3783622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.35/4.31 % (3783622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.35/4.31 % (3783622)CaDiCaL version: 2.1.3
% 28.35/4.31 % (3783622)Termination reason: Refutation not found, incomplete strategy
% 28.35/4.31 % (3783622)Time elapsed: 0.001 s
% 28.35/4.31 % (3783622)Peak memory usage: 11 MB
% 28.35/4.31 % (3783622)------------------------------
% 28.35/4.31 % (3783622)------------------------------
% 28.35/4.31 % (3783624)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3982247696:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2965 on theBenchmark for (2965ds/1583Mi)
% 28.35/4.31 % (3783594)Instruction limit reached!
% 28.35/4.31 % (3783594)------------------------------
% 28.35/4.31 % (3783594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.35/4.31 % (3783594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.35/4.31 % (3783594)CaDiCaL version: 2.1.3
% 28.35/4.31 % (3783594)Termination reason: Instruction limit
% 28.35/4.31 % (3783594)Termination phase: Saturation
% 28.35/4.31 % (3783594)Time elapsed: 0.444 s
% 28.35/4.31 % (3783594)Peak memory usage: 14 MB
% 28.35/4.31 % (3783594)Instructions burned: 1000 (million)
% 28.35/4.31 % (3783626)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 28.35/4.31 % (3783626)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 28.35/4.31 % (3783626)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 28.35/4.31 % (3783626)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 28.35/4.31 % (3783626)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=990184157:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2964 on theBenchmark for (2964ds/1774Mi)
% 28.99/4.54 % (3783626)Refutation not found, incomplete strategy
% 28.99/4.54 % (3783626)------------------------------
% 28.99/4.54 % (3783626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.99/4.54 % (3783626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.99/4.54 % (3783626)CaDiCaL version: 2.1.3
% 28.99/4.54 % (3783626)Termination reason: Refutation not found, incomplete strategy
% 28.99/4.54 % (3783626)Time elapsed: 0.001 s
% 28.99/4.54 % (3783626)Peak memory usage: 11 MB
% 28.99/4.54 % (3783626)------------------------------
% 28.99/4.54 % (3783626)------------------------------
% 28.99/4.54 % (3783628)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2264145004:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2964 on theBenchmark for (2964ds/515Mi)
% 28.99/4.54 % (3783628)Refutation not found, incomplete strategy
% 28.99/4.54 % (3783628)------------------------------
% 28.99/4.54 % (3783628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.99/4.54 % (3783628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.99/4.54 % (3783628)CaDiCaL version: 2.1.3
% 28.99/4.54 % (3783628)Termination reason: Refutation not found, incomplete strategy
% 28.99/4.54 % (3783628)Time elapsed: 0.001 s
% 28.99/4.54 % (3783628)Peak memory usage: 12 MB
% 28.99/4.54 % (3783628)------------------------------
% 28.99/4.54 % (3783628)------------------------------
% 28.99/4.54 % (3783630)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 28.99/4.54 % (3783630)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=2297701317:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2964 on theBenchmark for (2964ds/1297Mi)
% 28.99/4.54 % (3783620)Instruction limit reached!
% 28.99/4.54 % (3783620)------------------------------
% 28.99/4.54 % (3783620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.99/4.54 % (3783620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.99/4.54 % (3783620)CaDiCaL version: 2.1.3
% 28.99/4.54 % (3783620)Termination reason: Instruction limit
% 28.99/4.54 % (3783620)Termination phase: Saturation
% 28.99/4.54 % (3783620)Time elapsed: 0.388 s
% 28.99/4.54 % (3783620)Peak memory usage: 15 MB
% 28.99/4.54 % (3783620)Instructions burned: 965 (million)
% 28.99/4.54 % (3783632)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=2728838812:s2a=on:i=611:rtra=on:gsp=on_2962 on theBenchmark for (2962ds/611Mi)
% 28.99/4.54 % (3783632)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 28.99/4.54 % (3783624)Instruction limit reached!
% 28.99/4.54 % (3783624)------------------------------
% 28.99/4.54 % (3783624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.99/4.54 % (3783624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.99/4.54 % (3783624)CaDiCaL version: 2.1.3
% 28.99/4.54 % (3783624)Termination reason: Instruction limit
% 28.99/4.54 % (3783624)Termination phase: Saturation
% 28.99/4.54 % (3783624)Time elapsed: 0.356 s
% 28.99/4.54 % (3783624)Peak memory usage: 13 MB
% 28.99/4.54 % (3783624)Instructions burned: 1587 (million)
% 28.99/4.54 % (3783634)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 28.99/4.54 % (3783634)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3128648741:i=72:bd=all:rtra=on_2961 on theBenchmark for (2961ds/72Mi)
% 28.99/4.54 % (3783634)Refutation not found, incomplete strategy
% 28.99/4.54 % (3783634)------------------------------
% 28.99/4.54 % (3783634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.99/4.54 % (3783634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.99/4.54 % (3783634)CaDiCaL version: 2.1.3
% 28.99/4.54 % (3783634)Termination reason: Refutation not found, incomplete strategy
% 28.99/4.54 % (3783634)Time elapsed: 0.0000 s
% 28.99/4.54 % (3783634)Peak memory usage: 11 MB
% 28.99/4.54 % (3783634)Instructions burned: 1 (million)
% 28.99/4.54 % (3783634)------------------------------
% 28.99/4.54 % (3783634)------------------------------
% 28.99/4.54 % (3783362)Instruction limit reached!
% 28.99/4.54 % (3783362)------------------------------
% 30.66/4.87 % (3783362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.66/4.87 % (3783362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.66/4.87 % (3783362)CaDiCaL version: 2.1.3
% 30.66/4.87 % (3783362)Termination reason: Instruction limit
% 30.66/4.87 % (3783362)Termination phase: Saturation
% 30.66/4.87 % (3783362)Time elapsed: 3.240 s
% 30.66/4.87 % (3783362)Peak memory usage: 17 MB
% 30.66/4.87 % (3783362)Instructions burned: 9840 (million)
% 30.66/4.87 % (3783636)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=393077675:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2961 on theBenchmark for (2961ds/6580Mi)
% 30.66/4.87 % (3783638)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=261393395:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/6209Mi)
% 30.66/4.87 % (3783638)Refutation not found, incomplete strategy
% 30.66/4.87 % (3783638)------------------------------
% 30.66/4.87 % (3783638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.66/4.87 % (3783638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.66/4.87 % (3783638)CaDiCaL version: 2.1.3
% 30.66/4.87 % (3783638)Termination reason: Refutation not found, incomplete strategy
% 30.66/4.87 % (3783638)Time elapsed: 0.001 s
% 30.66/4.87 % (3783638)Peak memory usage: 11 MB
% 30.66/4.87 % (3783638)------------------------------
% 30.66/4.87 % (3783638)------------------------------
% 30.66/4.87 % (3783640)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=488253337:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2961 on theBenchmark for (2961ds/1003Mi)
% 30.66/4.87 % (3783610)Instruction limit reached!
% 30.66/4.87 % (3783610)------------------------------
% 30.66/4.87 % (3783610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.66/4.87 % (3783610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.66/4.87 % (3783610)CaDiCaL version: 2.1.3
% 30.66/4.87 % (3783610)Termination reason: Instruction limit
% 30.66/4.87 % (3783610)Termination phase: Saturation
% 30.66/4.87 % (3783610)Time elapsed: 0.755 s
% 30.66/4.87 % (3783610)Peak memory usage: 13 MB
% 30.66/4.87 % (3783610)Instructions burned: 1724 (million)
% 30.66/4.87 % (3783642)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 30.66/4.87 % (3783642)ott+1002_16_sil=128000:si=on:random_seed=3121547063:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2960 on theBenchmark for (2960ds/409Mi)
% 30.66/4.87 % (3783632)Instruction limit reached!
% 30.66/4.87 % (3783632)------------------------------
% 30.66/4.87 % (3783632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.66/4.87 % (3783632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.66/4.87 % (3783632)CaDiCaL version: 2.1.3
% 30.66/4.87 % (3783632)Termination reason: Instruction limit
% 30.66/4.87 % (3783632)Termination phase: Saturation
% 30.66/4.87 % (3783632)Time elapsed: 0.226 s
% 30.66/4.87 % (3783632)Peak memory usage: 13 MB
% 30.66/4.87 % (3783632)Instructions burned: 612 (million)
% 30.66/4.87 % (3783644)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=3032232602:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2959 on theBenchmark for (2959ds/403Mi)
% 30.66/4.87 % (3783644)Refutation not found, incomplete strategy
% 30.66/4.87 % (3783644)------------------------------
% 30.66/4.87 % (3783644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.66/4.87 % (3783644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.66/4.87 % (3783644)CaDiCaL version: 2.1.3
% 30.66/4.87 % (3783644)Termination reason: Refutation not found, incomplete strategy
% 30.66/4.87 % (3783644)Time elapsed: 0.001 s
% 30.66/4.87 % (3783644)Peak memory usage: 11 MB
% 30.66/4.87 % (3783644)Instructions burned: 1 (million)
% 30.66/4.87 % (3783644)------------------------------
% 30.66/4.87 % (3783644)------------------------------
% 30.66/4.87 % (3783630)Instruction limit reached!
% 30.66/4.87 % (3783630)------------------------------
% 30.66/4.87 % (3783630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.66/4.87 % (3783630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.99/5.04 % (3783630)CaDiCaL version: 2.1.3
% 33.99/5.04 % (3783630)Termination reason: Instruction limit
% 33.99/5.04 % (3783630)Termination phase: Saturation
% 33.99/5.04 % (3783630)Time elapsed: 0.495 s
% 33.99/5.04 % (3783630)Peak memory usage: 13 MB
% 33.99/5.04 % (3783630)Instructions burned: 1299 (million)
% 33.99/5.04 % (3783646)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=3976534207:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2959 on theBenchmark for (2959ds/6843Mi)
% 33.99/5.04 % (3783646)Refutation not found, incomplete strategy
% 33.99/5.04 % (3783646)------------------------------
% 33.99/5.04 % (3783646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.99/5.04 % (3783646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.99/5.04 % (3783646)CaDiCaL version: 2.1.3
% 33.99/5.04 % (3783646)Termination reason: Refutation not found, incomplete strategy
% 33.99/5.04 % (3783646)Time elapsed: 0.001 s
% 33.99/5.04 % (3783646)Peak memory usage: 11 MB
% 33.99/5.04 % (3783646)Instructions burned: 1 (million)
% 33.99/5.04 % (3783646)------------------------------
% 33.99/5.04 % (3783646)------------------------------
% 33.99/5.04 % (3783647)lrs+10_2:1_si=on:random_seed=2828657836:s2a=on:i=506:rtra=on:fe=abstraction_2959 on theBenchmark for (2959ds/506Mi)
% 33.99/5.04 % (3783649)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=891313528:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2959 on theBenchmark for (2959ds/888Mi)
% 33.99/5.04 % (3783642)Instruction limit reached!
% 33.99/5.04 % (3783642)------------------------------
% 33.99/5.04 % (3783642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.99/5.04 % (3783642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.99/5.04 % (3783642)CaDiCaL version: 2.1.3
% 33.99/5.04 % (3783642)Termination reason: Instruction limit
% 33.99/5.04 % (3783642)Termination phase: Saturation
% 33.99/5.04 % (3783642)Time elapsed: 0.152 s
% 33.99/5.04 % (3783642)Peak memory usage: 13 MB
% 33.99/5.04 % (3783642)Instructions burned: 411 (million)
% 33.99/5.04 % (3783652)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 33.99/5.04 % (3783652)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=2540496104:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2958 on theBenchmark for (2958ds/416Mi)
% 33.99/5.04 % (3783544)Instruction limit reached!
% 33.99/5.04 % (3783544)------------------------------
% 33.99/5.04 % (3783544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.99/5.04 % (3783544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.99/5.04 % (3783544)CaDiCaL version: 2.1.3
% 33.99/5.04 % (3783544)Termination reason: Instruction limit
% 33.99/5.04 % (3783544)Termination phase: Saturation
% 33.99/5.04 % (3783544)Time elapsed: 1.793 s
% 33.99/5.04 % (3783544)Peak memory usage: 16 MB
% 33.99/5.04 % (3783544)Instructions burned: 4386 (million)
% 33.99/5.04 % (3783654)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=3711911751:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2957 on theBenchmark for (2957ds/13534Mi)
% 33.99/5.04 % (3783654)Refutation not found, incomplete strategy
% 33.99/5.04 % (3783654)------------------------------
% 33.99/5.04 % (3783654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.99/5.04 % (3783654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.99/5.04 % (3783654)CaDiCaL version: 2.1.3
% 33.99/5.04 % (3783654)Termination reason: Refutation not found, incomplete strategy
% 33.99/5.04 % (3783654)Time elapsed: 0.001 s
% 33.99/5.04 % (3783654)Peak memory usage: 11 MB
% 33.99/5.04 % (3783654)------------------------------
% 33.99/5.04 % (3783654)------------------------------
% 33.99/5.04 % (3783656)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 33.99/5.04 % (3783656)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=475938598:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2957 on theBenchmark for (2957ds/206Mi)
% 33.99/5.04 % (3783640)Instruction limit reached!
% 36.29/5.47 % (3783640)------------------------------
% 36.29/5.47 % (3783640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.29/5.47 % (3783640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.29/5.47 % (3783640)CaDiCaL version: 2.1.3
% 36.29/5.47 % (3783640)Termination reason: Instruction limit
% 36.29/5.47 % (3783640)Termination phase: Saturation
% 36.29/5.47 % (3783640)Time elapsed: 0.409 s
% 36.29/5.47 % (3783640)Peak memory usage: 13 MB
% 36.29/5.47 % (3783640)Instructions burned: 1006 (million)
% 36.29/5.47 % (3783647)Instruction limit reached!
% 36.29/5.47 % (3783647)------------------------------
% 36.29/5.47 % (3783647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.29/5.47 % (3783647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.29/5.47 % (3783647)CaDiCaL version: 2.1.3
% 36.29/5.47 % (3783647)Termination reason: Instruction limit
% 36.29/5.47 % (3783647)Termination phase: Saturation
% 36.29/5.47 % (3783647)Time elapsed: 0.222 s
% 36.29/5.47 % (3783647)Peak memory usage: 12 MB
% 36.29/5.47 % (3783647)Instructions burned: 508 (million)
% 36.29/5.47 % (3783658)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=564353146:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2956 on theBenchmark for (2956ds/2295Mi)
% 36.29/5.47 % (3783659)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=2208081329:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2956 on theBenchmark for (2956ds/637Mi)
% 36.29/5.47 % (3783656)Instruction limit reached!
% 36.29/5.47 % (3783656)------------------------------
% 36.29/5.47 % (3783656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.29/5.47 % (3783656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.29/5.47 % (3783656)CaDiCaL version: 2.1.3
% 36.29/5.47 % (3783656)Termination reason: Instruction limit
% 36.29/5.47 % (3783656)Termination phase: Saturation
% 36.29/5.47 % (3783656)Time elapsed: 0.077 s
% 36.29/5.47 % (3783656)Peak memory usage: 12 MB
% 36.29/5.47 % (3783656)Instructions burned: 206 (million)
% 36.29/5.47 % (3783662)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=3806998556:hsq=on:i=667:rtra=on:ixr=off_2956 on theBenchmark for (2956ds/667Mi)
% 36.29/5.47 % (3783652)Instruction limit reached!
% 36.29/5.47 % (3783652)------------------------------
% 36.29/5.47 % (3783652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.29/5.47 % (3783652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.29/5.47 % (3783652)CaDiCaL version: 2.1.3
% 36.29/5.47 % (3783652)Termination reason: Instruction limit
% 36.29/5.47 % (3783652)Termination phase: Saturation
% 36.29/5.47 % (3783652)Time elapsed: 0.197 s
% 36.29/5.47 % (3783652)Peak memory usage: 14 MB
% 36.29/5.47 % (3783652)Instructions burned: 416 (million)
% 36.29/5.47 % (3783664)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=4124336484:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2956 on theBenchmark for (2956ds/1801Mi)
% 36.29/5.47 % (3783649)Instruction limit reached!
% 36.29/5.47 % (3783649)------------------------------
% 36.29/5.47 % (3783649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.29/5.47 % (3783649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.29/5.47 % (3783649)CaDiCaL version: 2.1.3
% 36.29/5.47 % (3783649)Termination reason: Instruction limit
% 36.29/5.47 % (3783649)Termination phase: Saturation
% 36.29/5.47 % (3783649)Time elapsed: 0.351 s
% 36.29/5.47 % (3783649)Peak memory usage: 12 MB
% 36.29/5.47 % (3783649)Instructions burned: 889 (million)
% 36.29/5.47 % (3783666)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=2745926184:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2955 on theBenchmark for (2955ds/555Mi)
% 36.29/5.47 % (3783659)Instruction limit reached!
% 36.29/5.47 % (3783659)------------------------------
% 36.29/5.47 % (3783659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.29/5.47 % (3783659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.29/5.47 % (3783659)CaDiCaL version: 2.1.3
% 36.29/5.47 % (3783659)Termination reason: Instruction limit
% 36.29/5.47 % (3783659)Termination phase: Saturation
% 36.29/5.47 % (3783659)Time elapsed: 0.282 s
% 36.29/5.47 % (3783659)Peak memory usage: 12 MB
% 36.29/5.47 % (3783659)Instructions burned: 638 (million)
% 36.29/5.47 % (3783668)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=4077434917:i=88:s2at=3:nm=2:rtra=on:rawr=on_2953 on theBenchmark for (2953ds/88Mi)
% 37.92/5.81 % (3783662)Instruction limit reached!
% 37.92/5.81 % (3783662)------------------------------
% 37.92/5.81 % (3783662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.92/5.81 % (3783662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.92/5.81 % (3783662)CaDiCaL version: 2.1.3
% 37.92/5.81 % (3783662)Termination reason: Instruction limit
% 37.92/5.81 % (3783662)Termination phase: Saturation
% 37.92/5.81 % (3783662)Time elapsed: 0.270 s
% 37.92/5.81 % (3783662)Peak memory usage: 12 MB
% 37.92/5.81 % (3783662)Instructions burned: 668 (million)
% 37.92/5.81 % (3783670)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1662424695:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2953 on theBenchmark for (2953ds/280Mi)
% 37.92/5.81 % (3783668)Instruction limit reached!
% 37.92/5.81 % (3783668)------------------------------
% 37.92/5.81 % (3783668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.92/5.81 % (3783668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.92/5.81 % (3783668)CaDiCaL version: 2.1.3
% 37.92/5.81 % (3783668)Termination reason: Instruction limit
% 37.92/5.81 % (3783668)Termination phase: Saturation
% 37.92/5.81 % (3783668)Time elapsed: 0.042 s
% 37.92/5.81 % (3783668)Peak memory usage: 12 MB
% 37.92/5.81 % (3783668)Instructions burned: 90 (million)
% 37.92/5.81 % (3783666)Instruction limit reached!
% 37.92/5.81 % (3783666)------------------------------
% 37.92/5.81 % (3783666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.92/5.81 % (3783666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.92/5.81 % (3783666)CaDiCaL version: 2.1.3
% 37.92/5.81 % (3783666)Termination reason: Instruction limit
% 37.92/5.81 % (3783666)Termination phase: Saturation
% 37.92/5.81 % (3783666)Time elapsed: 0.207 s
% 37.92/5.81 % (3783666)Peak memory usage: 11 MB
% 37.92/5.81 % (3783666)Instructions burned: 555 (million)
% 37.92/5.81 % (3783673)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 37.92/5.81 % (3783672)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=1651610096:s2a=on:i=3166:bd=preordered:rtra=on_2953 on theBenchmark for (2953ds/3166Mi)
% 37.92/5.81 % (3783673)lrs+1010_128_to=kbo:plsq=on:plsqc=4:cnfonf=lazy_pi_sigma_gen:bsd=on:si=on:sp=occurrence:sos=on:plsql=on:random_seed=1808973751:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2953 on theBenchmark for (2953ds/4201Mi)
% 37.92/5.81 % (3783673)Refutation not found, incomplete strategy
% 37.92/5.81 % (3783673)------------------------------
% 37.92/5.81 % (3783673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.92/5.81 % (3783673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.92/5.81 % (3783673)CaDiCaL version: 2.1.3
% 37.92/5.81 % (3783673)Termination reason: Refutation not found, incomplete strategy
% 37.92/5.81 % (3783673)Time elapsed: 0.002 s
% 37.92/5.81 % (3783673)Peak memory usage: 11 MB
% 37.92/5.81 % (3783673)Instructions burned: 3 (million)
% 37.92/5.81 % (3783673)------------------------------
% 37.92/5.81 % (3783673)------------------------------
% 37.92/5.81 % (3783676)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1764253932:i=2352:rtra=on:ixr=off_2953 on theBenchmark for (2953ds/2352Mi)
% 37.92/5.81 % (3783670)Instruction limit reached!
% 37.92/5.81 % (3783670)------------------------------
% 37.92/5.81 % (3783670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.92/5.81 % (3783670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.92/5.81 % (3783670)CaDiCaL version: 2.1.3
% 37.92/5.81 % (3783670)Termination reason: Instruction limit
% 37.92/5.81 % (3783670)Termination phase: Saturation
% 37.92/5.81 % (3783670)Time elapsed: 0.130 s
% 37.92/5.81 % (3783670)Peak memory usage: 12 MB
% 37.92/5.81 % (3783670)Instructions burned: 280 (million)
% 37.92/5.81 % (3783678)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 37.92/5.81 % (3783678)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=2437014839:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2952 on theBenchmark for (2952ds/452Mi)
% 41.78/6.15 % (3783678)Refutation not found, incomplete strategy
% 41.78/6.15 % (3783678)------------------------------
% 41.78/6.15 % (3783678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.78/6.15 % (3783678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.78/6.15 % (3783678)CaDiCaL version: 2.1.3
% 41.78/6.15 % (3783678)Termination reason: Refutation not found, incomplete strategy
% 41.78/6.15 % (3783678)Time elapsed: 0.001 s
% 41.78/6.15 % (3783678)Peak memory usage: 12 MB
% 41.78/6.15 % (3783678)Instructions burned: 1 (million)
% 41.78/6.15 % (3783678)------------------------------
% 41.78/6.15 % (3783678)------------------------------
% 41.78/6.15 % (3783680)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 41.78/6.15 % (3783680)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 41.78/6.15 % (3783680)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=346661578:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2951 on theBenchmark for (2951ds/483Mi)
% 41.78/6.15 % (3783680)Refutation not found, incomplete strategy
% 41.78/6.15 % (3783680)------------------------------
% 41.78/6.15 % (3783680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.78/6.15 % (3783680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.78/6.15 % (3783680)CaDiCaL version: 2.1.3
% 41.78/6.15 % (3783680)Termination reason: Refutation not found, incomplete strategy
% 41.78/6.15 % (3783680)Time elapsed: 0.001 s
% 41.78/6.15 % (3783680)Peak memory usage: 12 MB
% 41.78/6.15 % (3783680)------------------------------
% 41.78/6.15 % (3783680)------------------------------
% 41.78/6.15 % (3783682)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2799722222:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2951 on theBenchmark for (2951ds/168Mi)
% 41.78/6.15 % (3783682)Instruction limit reached!
% 41.78/6.15 % (3783682)------------------------------
% 41.78/6.15 % (3783682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.78/6.15 % (3783682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.78/6.15 % (3783682)CaDiCaL version: 2.1.3
% 41.78/6.15 % (3783682)Termination reason: Instruction limit
% 41.78/6.15 % (3783682)Termination phase: Saturation
% 41.78/6.15 % (3783682)Time elapsed: 0.076 s
% 41.78/6.15 % (3783682)Peak memory usage: 12 MB
% 41.78/6.15 % (3783682)Instructions burned: 168 (million)
% 41.78/6.15 % (3783684)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=2472972801:hsq=on:hsqr=16,1:s2a=on:i=17240:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2950 on theBenchmark for (2950ds/17240Mi)
% 41.78/6.15 % (3783511)Instruction limit reached!
% 41.78/6.15 % (3783511)------------------------------
% 41.78/6.15 % (3783511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.78/6.15 % (3783511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.78/6.15 % (3783511)CaDiCaL version: 2.1.3
% 41.78/6.15 % (3783511)Termination reason: Instruction limit
% 41.78/6.15 % (3783511)Termination phase: Saturation
% 41.78/6.15 % (3783511)Time elapsed: 3.061 s
% 41.78/6.15 % (3783511)Peak memory usage: 25 MB
% 41.78/6.15 % (3783511)Instructions burned: 6360 (million)
% 41.78/6.15 % (3783686)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=372824864:i=2022:fsr=off:rtra=on:ixr=off_2949 on theBenchmark for (2949ds/2022Mi)
% 41.78/6.15 % (3783658)Instruction limit reached!
% 41.78/6.15 % (3783658)------------------------------
% 41.78/6.15 % (3783658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.78/6.15 % (3783658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.78/6.15 % (3783658)CaDiCaL version: 2.1.3
% 41.78/6.15 % (3783658)Termination reason: Instruction limit
% 41.78/6.15 % (3783658)Termination phase: Saturation
% 41.78/6.15 % (3783658)Time elapsed: 0.908 s
% 41.78/6.15 % (3783658)Peak memory usage: 13 MB
% 41.78/6.15 % (3783658)Instructions burned: 2295 (million)
% 42.14/6.24 % (3783688)lrs+1010_3:1_sil=128000:tgt=full:plsq=on:drc=ordering:cnfonf=lazy_not_be_gen:si=on:etr=on:sp=reverse_arity:plsqr=32,1:urr=on:uwa=off:foolp=on:nwc=0.5:random_seed=4272096160:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2947 on theBenchmark for (2947ds/2274Mi)
% 42.14/6.24 % (3783664)Instruction limit reached!
% 42.14/6.24 % (3783664)------------------------------
% 42.14/6.24 % (3783664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.14/6.24 % (3783664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.14/6.24 % (3783664)CaDiCaL version: 2.1.3
% 42.14/6.24 % (3783664)Termination reason: Instruction limit
% 42.14/6.24 % (3783664)Termination phase: Saturation
% 42.14/6.24 % (3783664)Time elapsed: 0.920 s
% 42.14/6.24 % (3783664)Peak memory usage: 20 MB
% 42.14/6.24 % (3783664)Instructions burned: 1801 (million)
% 42.14/6.24 % (3783690)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2516539458:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2946 on theBenchmark for (2946ds/555Mi)
% 42.14/6.24 % (3783636)Instruction limit reached!
% 42.14/6.24 % (3783636)------------------------------
% 42.14/6.24 % (3783636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.14/6.24 % (3783636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.14/6.24 % (3783636)CaDiCaL version: 2.1.3
% 42.14/6.24 % (3783636)Termination reason: Instruction limit
% 42.14/6.24 % (3783636)Termination phase: Saturation
% 42.14/6.24 % (3783636)Time elapsed: 1.625 s
% 42.14/6.24 % (3783636)Peak memory usage: 29 MB
% 42.14/6.24 % (3783636)Instructions burned: 6583 (million)
% 42.14/6.24 % (3783692)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=1531018335:avsq=on:i=2220:rtra=on_2945 on theBenchmark for (2945ds/2220Mi)
% 42.14/6.24 % (3783690)Instruction limit reached!
% 42.14/6.24 % (3783690)------------------------------
% 42.14/6.24 % (3783690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.14/6.24 % (3783690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.14/6.24 % (3783690)CaDiCaL version: 2.1.3
% 42.14/6.24 % (3783690)Termination reason: Instruction limit
% 42.14/6.24 % (3783690)Termination phase: Saturation
% 42.14/6.24 % (3783690)Time elapsed: 0.184 s
% 42.14/6.24 % (3783690)Peak memory usage: 12 MB
% 42.14/6.24 % (3783690)Instructions burned: 556 (million)
% 42.14/6.24 % (3783694)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2399733691:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2944 on theBenchmark for (2944ds/715Mi)
% 42.14/6.24 % (3783694)Refutation not found, incomplete strategy
% 42.14/6.24 % (3783694)------------------------------
% 42.14/6.24 % (3783694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.14/6.24 % (3783694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.14/6.24 % (3783694)CaDiCaL version: 2.1.3
% 42.14/6.24 % (3783694)Termination reason: Refutation not found, incomplete strategy
% 42.14/6.24 % (3783694)Time elapsed: 0.001 s
% 42.14/6.24 % (3783694)Peak memory usage: 11 MB
% 42.14/6.24 % (3783694)Instructions burned: 2 (million)
% 42.14/6.24 % (3783694)------------------------------
% 42.14/6.24 % (3783694)------------------------------
% 42.14/6.24 % (3783696)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 42.14/6.24 % (3783696)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=1614606593:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2944 on theBenchmark for (2944ds/1979Mi)
% 42.14/6.24 % (3783696)Refutation not found, incomplete strategy
% 42.14/6.24 % (3783696)------------------------------
% 42.14/6.24 % (3783696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.14/6.24 % (3783696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.14/6.24 % (3783696)CaDiCaL version: 2.1.3
% 42.14/6.24 % (3783696)Termination reason: Refutation not found, incomplete strategy
% 42.14/6.24 % (3783696)Time elapsed: 0.001 s
% 42.14/6.24 % (3783696)Peak memory usage: 11 MB
% 42.14/6.24 % (3783696)Instructions burned: 1 (million)
% 42.14/6.24 % (3783696)------------------------------
% 42.14/6.24 % (3783696)------------------------------
% 42.14/6.24 % (3783698)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=2295683730:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2944 on theBenchmark for (2944ds/28911Mi)
% 43.60/6.61 % (3783698)Refutation not found, incomplete strategy
% 43.60/6.61 % (3783698)------------------------------
% 43.60/6.61 % (3783698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.60/6.61 % (3783698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.60/6.61 % (3783698)CaDiCaL version: 2.1.3
% 43.60/6.61 % (3783698)Termination reason: Refutation not found, incomplete strategy
% 43.60/6.61 % (3783698)Time elapsed: 0.001 s
% 43.60/6.61 % (3783698)Peak memory usage: 11 MB
% 43.60/6.61 % (3783698)------------------------------
% 43.60/6.61 % (3783698)------------------------------
% 43.60/6.61 % (3783700)lrs+1002_1_to=lpo:sil=128000:cnfonf=lazy_not_be_gen:si=on:sp=reverse_arity:sos=on:erd=off:lma=off:spb=units:urr=on:cbe=off:uwa=one_side_constant:random_seed=1126026919:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2944 on theBenchmark for (2944ds/414Mi)
% 43.60/6.61 % (3783700)Refutation not found, incomplete strategy
% 43.60/6.61 % (3783700)------------------------------
% 43.60/6.61 % (3783700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.60/6.61 % (3783700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.60/6.61 % (3783700)CaDiCaL version: 2.1.3
% 43.60/6.61 % (3783700)Termination reason: Refutation not found, incomplete strategy
% 43.60/6.61 % (3783700)Time elapsed: 0.002 s
% 43.60/6.61 % (3783700)Peak memory usage: 11 MB
% 43.60/6.61 % (3783700)Instructions burned: 3 (million)
% 43.60/6.61 % (3783700)------------------------------
% 43.60/6.61 % (3783700)------------------------------
% 43.60/6.61 % (3783702)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1072515285:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2943 on theBenchmark for (2943ds/429Mi)
% 43.60/6.61 % (3783676)Instruction limit reached!
% 43.60/6.61 % (3783676)------------------------------
% 43.60/6.61 % (3783676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.60/6.61 % (3783676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.60/6.61 % (3783676)CaDiCaL version: 2.1.3
% 43.60/6.61 % (3783676)Termination reason: Instruction limit
% 43.60/6.61 % (3783676)Termination phase: Saturation
% 43.60/6.61 % (3783676)Time elapsed: 0.944 s
% 43.60/6.61 % (3783676)Peak memory usage: 13 MB
% 43.60/6.61 % (3783676)Instructions burned: 2352 (million)
% 43.60/6.61 % (3783704)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 43.60/6.61 % (3783704)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2251025348:lrd=on:i=841:nm=0:rtra=on_2943 on theBenchmark for (2943ds/841Mi)
% 43.60/6.61 % (3783702)Instruction limit reached!
% 43.60/6.61 % (3783702)------------------------------
% 43.60/6.61 % (3783702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.60/6.61 % (3783702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.60/6.61 % (3783702)CaDiCaL version: 2.1.3
% 43.60/6.61 % (3783702)Termination reason: Instruction limit
% 43.60/6.61 % (3783702)Termination phase: Saturation
% 43.60/6.61 % (3783702)Time elapsed: 0.200 s
% 43.60/6.61 % (3783702)Peak memory usage: 12 MB
% 43.60/6.61 % (3783702)Instructions burned: 431 (million)
% 43.60/6.61 % (3783706)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2318880618:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2941 on theBenchmark for (2941ds/445Mi)
% 43.60/6.61 % (3783692)Instruction limit reached!
% 43.60/6.61 % (3783692)------------------------------
% 43.60/6.61 % (3783692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.60/6.61 % (3783692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.60/6.61 % (3783692)CaDiCaL version: 2.1.3
% 43.60/6.61 % (3783692)Termination reason: Instruction limit
% 43.60/6.61 % (3783692)Termination phase: Saturation
% 43.60/6.61 % (3783692)Time elapsed: 0.412 s
% 43.60/6.61 % (3783692)Peak memory usage: 14 MB
% 43.60/6.61 % (3783692)Instructions burned: 2224 (million)
% 43.60/6.61 % (3783686)Instruction limit reached!
% 43.60/6.61 % (3783686)------------------------------
% 43.60/6.61 % (3783686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.60/6.61 % (3783686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.60/6.61 % (3783686)CaDiCaL version: 2.1.3
% 43.60/6.61 % (3783686)Termination reason: Instruction limit
% 43.60/6.61 % (3783686)Termination phase: Saturation
% 45.18/6.93 % (3783686)Time elapsed: 0.848 s
% 45.18/6.93 % (3783686)Peak memory usage: 13 MB
% 45.18/6.93 % (3783686)Instructions burned: 2022 (million)
% 45.18/6.93 % (3783708)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=1549671567:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2940 on theBenchmark for (2940ds/1324Mi)
% 45.18/6.93 % (3783708)Refutation not found, incomplete strategy
% 45.18/6.93 % (3783708)------------------------------
% 45.18/6.93 % (3783708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.18/6.93 % (3783708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.18/6.93 % (3783708)CaDiCaL version: 2.1.3
% 45.18/6.93 % (3783708)Termination reason: Refutation not found, incomplete strategy
% 45.18/6.93 % (3783708)Time elapsed: 0.001 s
% 45.18/6.93 % (3783708)Peak memory usage: 12 MB
% 45.18/6.93 % (3783708)Instructions burned: 1 (million)
% 45.18/6.93 % (3783708)------------------------------
% 45.18/6.93 % (3783708)------------------------------
% 45.18/6.93 % (3783711)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4097742660:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2940 on theBenchmark for (2940ds/4070Mi)
% 45.18/6.93 % (3783709)dis+21_1_sil=128000:cnfonf=off:e2e=on:si=on:sos=on:spb=goal_then_units:acc=on:uwa=one_side_interpreted:random_seed=837888577:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2940 on theBenchmark for (2940ds/5401Mi)
% 45.18/6.93 % (3783709)Refutation not found, incomplete strategy
% 45.18/6.93 % (3783709)------------------------------
% 45.18/6.93 % (3783709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.18/6.93 % (3783709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.18/6.93 % (3783709)CaDiCaL version: 2.1.3
% 45.18/6.93 % (3783709)Termination reason: Refutation not found, incomplete strategy
% 45.18/6.93 % (3783709)Time elapsed: 0.0000 s
% 45.18/6.93 % (3783709)Peak memory usage: 11 MB
% 45.18/6.93 % (3783709)------------------------------
% 45.18/6.93 % (3783709)------------------------------
% 45.18/6.93 % (3783714)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2238540232:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2940 on theBenchmark for (2940ds/984Mi)
% 45.18/6.93 % (3783714)Refutation not found, incomplete strategy
% 45.18/6.93 % (3783714)------------------------------
% 45.18/6.93 % (3783714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.18/6.93 % (3783714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.18/6.93 % (3783714)CaDiCaL version: 2.1.3
% 45.18/6.93 % (3783714)Termination reason: Refutation not found, incomplete strategy
% 45.18/6.93 % (3783714)Time elapsed: 0.001 s
% 45.18/6.93 % (3783714)Peak memory usage: 11 MB
% 45.18/6.93 % (3783714)Instructions burned: 1 (million)
% 45.18/6.93 % (3783714)------------------------------
% 45.18/6.93 % (3783714)------------------------------
% 45.18/6.93 % (3783716)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3960839259:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2940 on theBenchmark for (2940ds/112Mi)
% 45.18/6.93 % (3783716)Refutation not found, incomplete strategy
% 45.18/6.93 % (3783716)------------------------------
% 45.18/6.93 % (3783716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.18/6.93 % (3783716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.18/6.93 % (3783716)CaDiCaL version: 2.1.3
% 45.18/6.93 % (3783716)Termination reason: Refutation not found, incomplete strategy
% 45.18/6.93 % (3783716)Time elapsed: 0.001 s
% 45.18/6.93 % (3783716)Peak memory usage: 11 MB
% 45.18/6.93 % (3783716)Instructions burned: 1 (million)
% 45.18/6.93 % (3783716)------------------------------
% 45.18/6.93 % (3783716)------------------------------
% 45.18/6.93 % (3783718)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=137209112:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2940 on theBenchmark for (2940ds/1144Mi)
% 45.18/6.93 % (3783718)Refutation not found, incomplete strategy
% 45.18/6.93 % (3783718)------------------------------
% 45.18/6.93 % (3783718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.18/6.93 % (3783718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.18/6.93 % (3783718)CaDiCaL version: 2.1.3
% 45.18/6.93 % (3783718)Termination reason: Refutation not found, incomplete strategy
% 45.18/6.93 % (3783718)Time elapsed: 0.0000 s
% 45.18/6.93 % (3783718)Peak memory usage: 11 MB
% 45.18/6.93 % (3783718)------------------------------
% 51.86/7.78 % (3783718)------------------------------
% 51.86/7.78 % (3783720)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=513683536:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2939 on theBenchmark for (2939ds/1352Mi)
% 51.86/7.78 % (3783704)Instruction limit reached!
% 51.86/7.78 % (3783704)------------------------------
% 51.86/7.78 % (3783704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.86/7.78 % (3783704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.86/7.78 % (3783704)CaDiCaL version: 2.1.3
% 51.86/7.78 % (3783704)Termination reason: Instruction limit
% 51.86/7.78 % (3783704)Termination phase: Saturation
% 51.86/7.78 % (3783704)Time elapsed: 0.370 s
% 51.86/7.78 % (3783704)Peak memory usage: 13 MB
% 51.86/7.78 % (3783704)Instructions burned: 841 (million)
% 51.86/7.78 % (3783706)Instruction limit reached!
% 51.86/7.78 % (3783706)------------------------------
% 51.86/7.78 % (3783706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.86/7.78 % (3783706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.86/7.78 % (3783706)CaDiCaL version: 2.1.3
% 51.86/7.78 % (3783706)Termination reason: Instruction limit
% 51.86/7.78 % (3783706)Termination phase: Saturation
% 51.86/7.78 % (3783706)Time elapsed: 0.223 s
% 51.86/7.78 % (3783706)Peak memory usage: 14 MB
% 51.86/7.78 % (3783706)Instructions burned: 446 (million)
% 51.86/7.78 % (3783672)Instruction limit reached!
% 51.86/7.78 % (3783672)------------------------------
% 51.86/7.78 % (3783672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.86/7.78 % (3783672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.86/7.78 % (3783672)CaDiCaL version: 2.1.3
% 51.86/7.78 % (3783672)Termination reason: Instruction limit
% 51.86/7.78 % (3783672)Termination phase: Saturation
% 51.86/7.78 % (3783672)Time elapsed: 1.372 s
% 51.86/7.78 % (3783672)Peak memory usage: 14 MB
% 51.86/7.78 % (3783672)Instructions burned: 3167 (million)
% 51.86/7.78 % (3783722)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=4165847672:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2939 on theBenchmark for (2939ds/693Mi)
% 51.86/7.78 % (3783723)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=3163912837:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2939 on theBenchmark for (2939ds/908Mi)
% 51.86/7.78 % (3783724)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=2003827875:i=6901:add=on:slsql=off:rtra=on:ntd=on_2939 on theBenchmark for (2939ds/6901Mi)
% 51.86/7.78 % (3783688)Instruction limit reached!
% 51.86/7.78 % (3783688)------------------------------
% 51.86/7.78 % (3783688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.86/7.78 % (3783688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.86/7.78 % (3783688)CaDiCaL version: 2.1.3
% 51.86/7.78 % (3783688)Termination reason: Instruction limit
% 51.86/7.78 % (3783688)Termination phase: Saturation
% 51.86/7.78 % (3783688)Time elapsed: 0.941 s
% 51.86/7.78 % (3783688)Peak memory usage: 17 MB
% 51.86/7.78 % (3783688)Instructions burned: 2275 (million)
% 51.86/7.78 % (3783728)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1015080515:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2938 on theBenchmark for (2938ds/3621Mi)
% 51.86/7.78 % (3783722)Instruction limit reached!
% 51.86/7.78 % (3783722)------------------------------
% 51.86/7.78 % (3783722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.86/7.78 % (3783722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.86/7.78 % (3783722)CaDiCaL version: 2.1.3
% 51.86/7.78 % (3783722)Termination reason: Instruction limit
% 51.86/7.78 % (3783722)Termination phase: Saturation
% 51.86/7.78 % (3783722)Time elapsed: 0.284 s
% 51.86/7.78 % (3783722)Peak memory usage: 12 MB
% 51.86/7.78 % (3783722)Instructions burned: 695 (million)
% 51.86/7.78 % (3783730)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=2852129918:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2936 on theBenchmark for (2936ds/1160Mi)
% 51.86/7.78 % (3783730)Refutation not found, incomplete strategy
% 51.86/7.78 % (3783730)------------------------------
% 51.86/7.78 % (3783730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.86/7.78 % (3783730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.86/7.78 % (3783730)CaDiCaL version: 2.1.3
% 51.86/7.78 % (3783730)Termination reason: Refutation not found, incomplete strategy
% 51.86/7.78 % (3783730)Time elapsed: 0.002 s
% 51.86/7.78 % (3783730)Peak memory usage: 11 MB
% 51.86/7.78 % (3783730)Instructions burned: 3 (million)
% 51.86/7.78 % (3783730)------------------------------
% 51.86/7.78 % (3783730)------------------------------
% 51.86/7.78 % (3783732)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=3407501173:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2936 on theBenchmark for (2936ds/570Mi)
% 51.86/7.78 % (3783723)Instruction limit reached!
% 51.86/7.78 % (3783723)------------------------------
% 51.86/7.78 % (3783723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.86/7.78 % (3783723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.86/7.78 % (3783723)CaDiCaL version: 2.1.3
% 51.86/7.78 % (3783723)Termination reason: Instruction limit
% 51.86/7.78 % (3783723)Termination phase: Saturation
% 51.86/7.78 % (3783723)Time elapsed: 0.432 s
% 51.86/7.78 % (3783723)Peak memory usage: 15 MB
% 51.86/7.78 % (3783723)Instructions burned: 910 (million)
% 51.86/7.78 % (3783734)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=1142197199:i=324:bd=all:ins=4:rtra=on_2934 on theBenchmark for (2934ds/324Mi)
% 51.86/7.78 % (3783720)Instruction limit reached!
% 51.86/7.78 % (3783720)------------------------------
% 51.86/7.78 % (3783720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.86/7.78 % (3783720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.86/7.78 % (3783720)CaDiCaL version: 2.1.3
% 51.86/7.78 % (3783720)Termination reason: Instruction limit
% 51.86/7.78 % (3783720)Termination phase: Saturation
% 51.86/7.78 % (3783720)Time elapsed: 0.516 s
% 51.86/7.78 % (3783720)Peak memory usage: 12 MB
% 51.86/7.78 % (3783720)Instructions burned: 1354 (million)
% 51.86/7.78 % (3783736)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:e2e=on:si=on:lma=off:bsr=on:uwa=interpreted_only:nwc=1:sac=on:random_seed=830172644:s2a=on:i=5712:rtra=on_2934 on theBenchmark for (2934ds/5712Mi)
% 51.86/7.78 % (3783732)Instruction limit reached!
% 51.86/7.78 % (3783732)------------------------------
% 51.86/7.78 % (3783732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.86/7.78 % (3783732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.86/7.78 % (3783732)CaDiCaL version: 2.1.3
% 51.86/7.78 % (3783732)Termination reason: Instruction limit
% 51.86/7.78 % (3783732)Termination phase: Saturation
% 51.86/7.78 % (3783732)Time elapsed: 0.243 s
% 51.86/7.78 % (3783732)Peak memory usage: 13 MB
% 51.86/7.78 % (3783732)Instructions burned: 572 (million)
% 51.86/7.78 % (3783738)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 51.86/7.78 % (3783738)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 51.86/7.78 % (3783738)ott+1010_3:16_to=lpo:sil=128000:cnfonf=lazy_simp:si=on:lma=off:plsqr=32,1:plsql=on:uwa=interpreted_only:random_seed=1957788491:i=901:rtra=on:fsd=on_2933 on theBenchmark for (2933ds/901Mi)
% 51.86/7.78 % (3783734)Instruction limit reached!
% 51.86/7.78 % (3783734)------------------------------
% 51.86/7.78 % (3783734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.86/7.78 % (3783734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.86/7.78 % (3783734)CaDiCaL version: 2.1.3
% 51.86/7.78 % (3783734)Termination reason: Instruction limit
% 51.86/7.78 % (3783734)Termination phase: Saturation
% 51.86/7.78 % (3783734)Time elapsed: 0.139 s
% 51.86/7.78 % (3783734)Peak memory usage: 14 MB
% 51.86/7.78 % (3783734)Instructions burned: 325 (million)
% 51.86/7.78 % (3783740)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1549899900:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2933 on theBenchmark for (2933ds/2961Mi)
% 51.86/7.78 % (3783740)Refutation not found, incomplete strategy
% 51.86/7.78 % (3783740)------------------------------
% 51.86/7.78 % (3783740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.86/7.78 % (3783740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.86/7.78 % (3783740)CaDiCaL version: 2.1.3
% 51.86/7.78 % (3783740)Termination reason: Refutation not found, incomplete strategy
% 51.86/7.78 % (3783740)Time elapsed: 0.001 s
% 51.86/7.78 % (3783740)Peak memory usage: 11 MB
% 51.86/7.78 % (3783740)------------------------------
% 51.86/7.78 % (3783740)------------------------------
% 51.86/7.78 % (3783742)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=3529857683:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2933 on theBenchmark for (2933ds/3526Mi)
% 51.86/7.78 % (3783711)Instruction limit reached!
% 51.86/7.78 % (3783711)------------------------------
% 51.86/7.78 % (3783711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.86/7.78 % (3783711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.86/7.78 % (3783711)CaDiCaL version: 2.1.3
% 51.86/7.78 % (3783711)Termination reason: Instruction limit
% 51.86/7.78 % (3783711)Termination phase: Saturation
% 51.86/7.78 % (3783711)Time elapsed: 0.882 s
% 51.86/7.78 % (3783711)Peak memory usage: 16 MB
% 51.86/7.78 % (3783711)Instructions burned: 4072 (million)
% 51.86/7.78 % (3783744)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=152807486:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2931 on theBenchmark for (2931ds/3368Mi)
% 51.86/7.78 % (3783744)Refutation not found, incomplete strategy
% 51.86/7.78 % (3783744)------------------------------
% 51.86/7.78 % (3783744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.86/7.78 % (3783744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.86/7.78 % (3783744)CaDiCaL version: 2.1.3
% 51.86/7.78 % (3783744)Termination reason: Refutation not found, incomplete strategy
% 51.86/7.78 % (3783744)Time elapsed: 0.001 s
% 51.86/7.78 % (3783744)Peak memory usage: 11 MB
% 51.86/7.78 % (3783744)------------------------------
% 51.86/7.78 % (3783744)------------------------------
% 51.86/7.78 % (3783746)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=1691787746:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2931 on theBenchmark for (2931ds/20626Mi)
% 51.86/7.78 % (3783738)Instruction limit reached!
% 51.86/7.78 % (3783738)------------------------------
% 51.86/7.78 % (3783738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.86/7.78 % (3783738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.86/7.78 % (3783738)CaDiCaL version: 2.1.3
% 51.86/7.78 % (3783738)Termination reason: Instruction limit
% 51.86/7.78 % (3783738)Termination phase: Saturation
% 51.86/7.78 % (3783738)Time elapsed: 0.348 s
% 51.86/7.78 % (3783738)Peak memory usage: 12 MB
% 51.86/7.78 % (3783738)Instructions burned: 901 (million)
% 51.86/7.78 % (3783748)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3881446834:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2929 on theBenchmark for (2929ds/27154Mi)
% 51.86/7.78 % (3783746) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3783191-3783746"...
% 51.86/7.78 % (3783746)...printing done.
% 51.86/7.78 % (3783746)Refutation found. Thanks to Tanya!
% 51.86/7.78 % SZS status Unsatisfiable for theBenchmark
% 51.86/7.78 % SZS output start Proof for theBenchmark
% See solution above
% 53.63/7.81 % (3783746)------------------------------
% 53.63/7.81 % (3783746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.63/7.81 % (3783746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.63/7.81 % (3783746)CaDiCaL version: 2.1.3
% 53.63/7.81 % (3783746)Termination reason: Refutation
% 53.63/7.81 % (3783746)Time elapsed: 0.683 s
% 53.63/7.81 % (3783746)Peak memory usage: 17 MB
% 53.63/7.81 % (3783746)Instructions burned: 2493 (million)
% 53.63/7.81 % (3783191)Success in time 7.552 s
% 53.63/7.81 % Vampire exiting
%------------------------------------------------------------------------------