%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA169^1 : 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 : n011.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 08:02:27 AM UTC 2026
% Result : Unsatisfiable 21.38s 3.33s
% Output : Refutation 21.38s
% 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] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X2: $i,X0: $i,X1: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X2: $i,X4: $i,X0: $i,X1: $i,X3: $i] :
( ~ ( b @ X0 @ X2 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X3 @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f9,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f11,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r @ X2 @ X0 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X1 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X2 @ X0 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X3 @ X0 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X4 @ X1 ) ),
inference(rectify,[],[f7]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X4 @ X1 )
!= $true ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f19,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f20,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f11]) ).
thf(f21,plain,
! [X2: $i,X1: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) ),
inference(flattening,[],[f15]) ).
thf(f22,plain,
! [X0: $i,X4: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X4 @ X1 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
inference(rectify,[],[f18]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X4 @ X0 )
!= $true ) ),
inference(rectify,[],[f22]) ).
thf(f25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(rectify,[],[f21]) ).
thf(f26,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f27,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f30,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f31,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f32,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f28,f30]) ).
thf(f36,plain,
! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f28,f30]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f28,f27]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X4 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X4 @ X0 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f29,f28]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X4 @ X1 )
!= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f40]) ).
thf(f42,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f31,f35]) ).
thf(f43,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f47,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f31,f36]) ).
thf(f48,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f47]) ).
thf(f51,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f27]) ).
thf(f53,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f30]) ).
thf(f54,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f30]) ).
thf(f57,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f53]) ).
thf(f58,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f57]) ).
thf(f60,definition,
( spl0_1
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f61,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f60]) ).
thf(f63,definition,
( spl0_2
<=> ! [X0: $i,X3: $i] :
( ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f64,plain,
( ! [X3: $i,X0: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f63]) ).
thf(f65,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f58,f63,f60]) ).
thf(f70,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f48,f54]) ).
thf(f71,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ z ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f43,f54]) ).
thf(f72,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f31,f54]) ).
thf(f73,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f71]) ).
thf(f74,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f70]) ).
thf(f75,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f72]) ).
thf(f77,definition,
( spl0_3
<=> ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f78,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f77]) ).
thf(f80,definition,
( spl0_4
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f81,plain,
( ( $true
= ( b @ ( s @ z ) @ z ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f82,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f73,f80,f77]) ).
thf(f84,definition,
( spl0_5
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f85,plain,
( ( $true
= ( b @ z @ ( s @ z ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f86,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f74,f84,f77]) ).
thf(f87,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f78,f36]) ).
thf(f88,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f89,plain,
! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) ),
inference(constrained_superposition,[],[f75,f35]) ).
thf(f90,plain,
! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f89]) ).
thf(f92,definition,
( spl0_6
<=> ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f93,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f95,definition,
( spl0_7
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f96,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_7 ),
inference(avatar_component_clause,[],[f95]) ).
thf(f97,plain,
( spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f90,f95,f92]) ).
thf(f98,plain,
( ( $true
= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| spl0_7 ),
inference(constrained_superposition,[],[f96,f35]) ).
thf(f99,plain,
( ( $true
= ( b @ ( s @ z ) @ z ) )
| spl0_7 ),
inference(trivial_inequality_removal,[],[f98]) ).
thf(f100,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f99,f95,f80]) ).
thf(f102,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f29,f88]) ).
thf(f103,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f102]) ).
thf(f129,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f30]) ).
thf(f130,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f30]) ).
thf(f139,plain,
! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f75,f129]) ).
thf(f140,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f48,f129]) ).
thf(f141,plain,
! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
inference(constrained_superposition,[],[f43,f129]) ).
thf(f142,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f31,f129]) ).
thf(f143,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f142]) ).
thf(f144,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f141]) ).
thf(f145,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f139]) ).
thf(f146,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f140]) ).
thf(f148,definition,
( spl0_8
<=> ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f149,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_8 ),
inference(avatar_component_clause,[],[f148]) ).
thf(f151,definition,
( spl0_9
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f152,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f151]) ).
thf(f153,plain,
( ~ spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f144,f151,f148]) ).
thf(f155,definition,
( spl0_10
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f158,definition,
( spl0_11
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f159,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f158]) ).
thf(f160,plain,
( ~ spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f145,f158,f155]) ).
thf(f162,definition,
( spl0_12
<=> ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f163,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f162]) ).
thf(f164,plain,
( ~ spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f146,f162,f148]) ).
thf(f165,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_8 ),
inference(constrained_superposition,[],[f149,f36]) ).
thf(f166,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f165]) ).
thf(f168,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_2
| spl0_8 ),
inference(constrained_superposition,[],[f64,f166]) ).
thf(f170,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_2
| spl0_8 ),
inference(trivial_inequality_removal,[],[f168]) ).
thf(f173,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f175,definition,
( spl0_13
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f176,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f175]) ).
thf(f177,plain,
( ~ spl0_5
| spl0_13
| ~ spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f170,f148,f63,f175,f84]) ).
thf(f179,definition,
( spl0_14
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f180,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ z ) ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f179]) ).
thf(f182,definition,
( spl0_15
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f183,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f182]) ).
thf(f186,definition,
( spl0_16
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f187,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f186]) ).
thf(f200,definition,
( spl0_17
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f201,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f200]) ).
thf(f203,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f143,f35]) ).
thf(f209,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f203]) ).
thf(f211,definition,
( spl0_18
<=> ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f212,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_18 ),
inference(avatar_component_clause,[],[f211]) ).
thf(f213,plain,
( ~ spl0_18
| spl0_9 ),
inference(avatar_split_clause,[],[f209,f151,f211]) ).
thf(f215,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_3
| ~ spl0_9 ),
inference(constrained_superposition,[],[f103,f152]) ).
thf(f217,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f29,f152]) ).
thf(f218,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f215]) ).
thf(f220,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f217]) ).
thf(f223,definition,
( spl0_19
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f224,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f223]) ).
thf(f226,definition,
( spl0_20
<=> ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f227,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f226]) ).
thf(f228,plain,
( spl0_15
| spl0_19
| spl0_20
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f218,f151,f77,f226,f223,f182]) ).
thf(f231,definition,
( spl0_21
<=> ! [X0: $i,X3: $i] :
( ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f232,plain,
( ! [X3: $i,X0: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f231]) ).
thf(f233,plain,
( spl0_21
| spl0_15
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f220,f151,f182,f231]) ).
thf(f235,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_5 ),
inference(constrained_superposition,[],[f173,f28]) ).
thf(f236,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_5 ),
inference(trivial_inequality_removal,[],[f235]) ).
thf(f237,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f236,f30]) ).
thf(f238,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_5 ),
inference(constrained_superposition,[],[f31,f237]) ).
thf(f239,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| spl0_5 ),
inference(trivial_inequality_removal,[],[f238]) ).
thf(f240,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_8 ),
inference(constrained_superposition,[],[f149,f36]) ).
thf(f241,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f240]) ).
thf(f242,plain,
( spl0_19
| spl0_8 ),
inference(avatar_split_clause,[],[f241,f148,f223]) ).
thf(f243,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_18 ),
inference(constrained_superposition,[],[f212,f35]) ).
thf(f244,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_18 ),
inference(trivial_inequality_removal,[],[f243]) ).
thf(f245,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f244,f211,f186]) ).
thf(f249,definition,
( spl0_22
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f250,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f249]) ).
thf(f253,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f48,f176]) ).
thf(f259,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f253]) ).
thf(f260,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_5
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f259,f237]) ).
thf(f261,plain,
( spl0_19
| spl0_5
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f260,f175,f84,f223]) ).
thf(f262,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(constrained_superposition,[],[f61,f93]) ).
thf(f264,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f61,f37]) ).
thf(f266,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f262]) ).
thf(f268,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f264]) ).
thf(f274,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f180,f28]) ).
thf(f275,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ z )
!= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f180,f37]) ).
thf(f279,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f274]) ).
thf(f281,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f275]) ).
thf(f294,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f183,f53]) ).
thf(f300,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f294]) ).
thf(f303,definition,
( spl0_23
<=> ! [X0: $i] :
( ( b @ ( s @ z ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f304,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ X0 )
!= $true )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f303]) ).
thf(f305,plain,
( spl0_23
| spl0_13
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f300,f182,f175,f303]) ).
thf(f314,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(constrained_superposition,[],[f266,f53]) ).
thf(f318,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f314]) ).
thf(f338,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f155]) ).
thf(f340,definition,
( spl0_24
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f341,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f340]) ).
thf(f378,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f279,f28]) ).
thf(f379,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f378]) ).
thf(f381,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(constrained_superposition,[],[f143,f318]) ).
thf(f384,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(constrained_superposition,[],[f43,f318]) ).
thf(f387,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f381]) ).
thf(f391,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f384]) ).
thf(f392,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f391]) ).
thf(f394,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f387,f266]) ).
thf(f395,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ~ spl0_1
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f392,f237]) ).
thf(f397,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_13 ),
inference(avatar_component_clause,[],[f175]) ).
thf(f399,definition,
( spl0_25
<=> ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f400,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f399]) ).
thf(f401,plain,
( ~ spl0_13
| spl0_25
| ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f394,f92,f60,f399,f175]) ).
thf(f403,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_1
| spl0_5
| ~ spl0_6 ),
inference(constrained_superposition,[],[f268,f395]) ).
thf(f408,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= z ) )
| ~ spl0_1
| spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f403]) ).
thf(f413,definition,
( spl0_26
<=> ! [X0: $i,X3: $i] :
( ( $true
!= ( b @ X3 @ z ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f414,plain,
( ! [X3: $i,X0: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X3 @ z ) ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f413]) ).
thf(f416,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_1
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f408,f30]) ).
thf(f430,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_1
| spl0_5
| ~ spl0_6 ),
inference(constrained_superposition,[],[f31,f416]) ).
thf(f433,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_1
| spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f430]) ).
thf(f453,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_1
| spl0_5
| ~ spl0_6 ),
inference(constrained_superposition,[],[f433,f129]) ).
thf(f456,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f453]) ).
thf(f459,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f456,f338]) ).
thf(f464,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14 ),
inference(constrained_superposition,[],[f180,f459]) ).
thf(f477,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f464]) ).
thf(f485,plain,
( $false
| ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f477,f395]) ).
thf(f486,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f485]) ).
thf(f491,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_4 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f501,definition,
( spl0_29
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f502,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ z ) ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f501]) ).
thf(f508,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f502,f53]) ).
thf(f511,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f508]) ).
thf(f512,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_16
| ~ spl0_29 ),
inference(constrained_superposition,[],[f511,f187]) ).
thf(f514,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_16
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f512]) ).
thf(f516,plain,
( $false
| spl0_13
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f514,f397]) ).
thf(f517,plain,
( spl0_13
| ~ spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f516]) ).
thf(f519,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_19
| ~ spl0_22 ),
inference(constrained_superposition,[],[f250,f224]) ).
thf(f522,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_19
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f519]) ).
thf(f523,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_19
| ~ spl0_22 ),
inference(constrained_superposition,[],[f522,f53]) ).
thf(f525,plain,
( ( $true != $true )
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(constrained_superposition,[],[f522,f187]) ).
thf(f527,plain,
( $false
| ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f525]) ).
thf(f528,plain,
( ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f527]) ).
thf(f530,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_19
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f523]) ).
thf(f532,plain,
( $false
| spl0_13
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f530,f397]) ).
thf(f533,plain,
( spl0_13
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f532]) ).
thf(f534,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| spl0_4 ),
inference(constrained_superposition,[],[f491,f28]) ).
thf(f535,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| spl0_4 ),
inference(trivial_inequality_removal,[],[f534]) ).
thf(f536,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f535,f30]) ).
thf(f572,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f31,f379]) ).
thf(f581,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f572]) ).
thf(f586,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ X0 )
= z )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f281,f28]) ).
thf(f587,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f586]) ).
thf(f588,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f587,f30]) ).
thf(f594,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f31,f588]) ).
thf(f600,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f594]) ).
thf(f621,definition,
( spl0_30
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f622,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_30 ),
inference(avatar_component_clause,[],[f621]) ).
thf(f629,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_30 ),
inference(constrained_superposition,[],[f622,f28]) ).
thf(f631,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_30 ),
inference(trivial_inequality_removal,[],[f629]) ).
thf(f634,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_13
| spl0_30 ),
inference(forward_subsumption_resolution,[],[f631,f397]) ).
thf(f639,plain,
( spl0_24
| spl0_13
| spl0_30 ),
inference(avatar_split_clause,[],[f634,f621,f175,f340]) ).
thf(f651,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_2
| ~ spl0_12 ),
inference(constrained_superposition,[],[f64,f163]) ).
thf(f653,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f29,f163]) ).
thf(f654,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f651]) ).
thf(f657,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f653]) ).
thf(f659,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_12
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f654,f397]) ).
thf(f661,definition,
( spl0_32
<=> ! [X0: $i,X3: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f662,plain,
( ! [X3: $i,X0: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f661]) ).
thf(f663,plain,
( spl0_32
| spl0_15
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f657,f162,f182,f661]) ).
thf(f667,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_12
| spl0_13 ),
inference(constrained_superposition,[],[f659,f53]) ).
thf(f671,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_12
| spl0_13 ),
inference(trivial_inequality_removal,[],[f667]) ).
thf(f680,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_3
| ~ spl0_32 ),
inference(constrained_superposition,[],[f662,f88]) ).
thf(f686,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_32 ),
inference(duplicate_literal_removal,[],[f680]) ).
thf(f687,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f686]) ).
thf(f695,definition,
( spl0_34
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f696,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_34 ),
inference(avatar_component_clause,[],[f695]) ).
thf(f699,definition,
( spl0_35
<=> ! [X0: $i] :
( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f700,plain,
( ! [X0: $i] :
( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f699]) ).
thf(f701,plain,
( spl0_35
| ~ spl0_34
| ~ spl0_3
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f687,f661,f77,f695,f699]) ).
thf(f704,definition,
( spl0_36
<=> ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f705,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f704]) ).
thf(f709,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_34 ),
inference(constrained_superposition,[],[f696,f37]) ).
thf(f711,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| spl0_34 ),
inference(trivial_inequality_removal,[],[f709]) ).
thf(f741,plain,
( spl0_36
| ~ spl0_2
| ~ spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f671,f175,f162,f63,f704]) ).
thf(f744,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f48,f705]) ).
thf(f747,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_36 ),
inference(duplicate_literal_removal,[],[f744]) ).
thf(f748,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f747]) ).
thf(f753,plain,
( ! [X0: $i] :
( $true
= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| spl0_5
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f748,f237]) ).
thf(f755,plain,
( spl0_35
| spl0_5
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f753,f704,f84,f699]) ).
thf(f813,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_14 ),
inference(constrained_superposition,[],[f180,f159]) ).
thf(f821,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f813]) ).
thf(f830,definition,
( spl0_39
<=> ! [X1: $i] :
( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f831,plain,
( ! [X1: $i] :
( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f830]) ).
thf(f833,definition,
( spl0_40
<=> ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f834,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f833]) ).
thf(f836,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f821,f93]) ).
thf(f838,plain,
( spl0_40
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f836,f179,f158,f92,f833]) ).
thf(f896,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f75,f130]) ).
thf(f899,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f31,f130]) ).
thf(f904,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f896]) ).
thf(f905,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f899]) ).
thf(f924,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ z @ X2 ) ) ),
inference(extensionality_resolution,[],[f41,f30]) ).
thf(f925,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X1 ) @ X2 ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ X1 ) ) ) ),
inference(extensionality_resolution,[],[f41,f30]) ).
thf(f928,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( X1 = X2 )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ X1 )
= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f41,f28]) ).
thf(f930,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f41,f53]) ).
thf(f949,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X3 @ X4 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ X1 )
= $true )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f928]) ).
thf(f958,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f930]) ).
thf(f961,definition,
( spl0_41
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f962,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f961]) ).
thf(f965,definition,
( spl0_42
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f966,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f965]) ).
thf(f969,definition,
( spl0_43
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f970,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f969]) ).
thf(f971,plain,
( spl0_22
| spl0_43 ),
inference(avatar_split_clause,[],[f924,f969,f249]) ).
thf(f973,definition,
( spl0_44
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f974,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f973]) ).
thf(f975,plain,
( spl0_44
| spl0_1 ),
inference(avatar_split_clause,[],[f958,f60,f973]) ).
thf(f977,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f970,f37]) ).
thf(f999,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f977]) ).
thf(f1044,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f966,f37]) ).
thf(f1045,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f966,f28]) ).
thf(f1047,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f1044]) ).
thf(f1049,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f1045]) ).
thf(f1051,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1047,f30]) ).
thf(f1054,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f962,f28]) ).
thf(f1056,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f1054]) ).
thf(f1077,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f31,f1056]) ).
thf(f1085,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f1077]) ).
thf(f1143,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( $true != $true )
| ( ( r @ ( s @ X1 ) @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_14
| ~ spl0_42 ),
inference(constrained_superposition,[],[f600,f1051]) ).
thf(f1152,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_14
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f1143]) ).
thf(f1272,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 )
| ( $true != $true )
| ( ( s @ X0 )
= z )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f999,f28]) ).
thf(f1273,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f1272]) ).
thf(f1275,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1273,f30]) ).
thf(f1277,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_43 ),
inference(extensionality_resolution,[],[f1275,f30]) ).
thf(f1286,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ z ) )
| spl0_13
| ~ spl0_43 ),
inference(constrained_superposition,[],[f397,f1275]) ).
thf(f1297,plain,
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_13
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f1286]) ).
thf(f1326,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ z @ X1 )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( z = X1 ) )
| ~ spl0_41
| ~ spl0_42 ),
inference(constrained_superposition,[],[f1085,f1049]) ).
thf(f1329,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ z @ X1 )
= $true )
| ( z = X1 )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_41
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f1326]) ).
thf(f1440,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_14
| ~ spl0_42
| ~ spl0_43 ),
inference(constrained_superposition,[],[f1152,f1275]) ).
thf(f1445,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X1 )
| ( X0 = X1 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_14
| ~ spl0_42
| ~ spl0_43 ),
inference(duplicate_literal_removal,[],[f1440]) ).
thf(f1446,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X1 ) )
| ~ spl0_14
| ~ spl0_42
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f1445]) ).
thf(f1458,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ z )
= X2 )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( X0 = X2 )
| ( ( r @ ( s @ X2 ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_14
| ~ spl0_42
| ~ spl0_43 ),
inference(constrained_superposition,[],[f31,f1446]) ).
thf(f1463,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ z )
= X2 )
| ( ( r @ ( s @ X2 ) @ z )
= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( X0 = X2 ) )
| ~ spl0_14
| ~ spl0_42
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f1458]) ).
thf(f1658,definition,
( spl0_51
<=> ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f1659,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f1658]) ).
thf(f1673,definition,
( spl0_55
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( X1 = X2 )
| ( ( r @ X1 @ X2 )
= $true )
| ( X2 = X3 )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
= ( r @ X3 @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f1674,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( X1 = X2 )
| ( X2 = X3 )
| ( $true
= ( r @ X3 @ X2 ) )
| ( ( r @ X1 @ X2 )
= $true )
| ( ( b @ X1 @ X3 )
!= $true ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f1673]) ).
thf(f1678,definition,
( spl0_56
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f1679,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f1678]) ).
thf(f1699,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f711,f30]) ).
thf(f1703,definition,
( spl0_60
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
thf(f1704,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f1703]) ).
thf(f1710,plain,
( spl0_10
| spl0_34 ),
inference(avatar_split_clause,[],[f1699,f695,f155]) ).
thf(f1711,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f695]) ).
thf(f1717,definition,
( spl0_63
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
thf(f1718,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f1717]) ).
thf(f1719,plain,
( spl0_34
| spl0_63 ),
inference(avatar_split_clause,[],[f904,f1717,f695]) ).
thf(f1753,definition,
( spl0_67
<=> ! [X1: $i] :
( $true
!= ( b @ z @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
thf(f1754,plain,
( ! [X1: $i] :
( $true
!= ( b @ z @ X1 ) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f1753]) ).
thf(f1811,definition,
( spl0_69
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f1812,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f1811]) ).
thf(f1881,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f29,f834]) ).
thf(f1890,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f1881]) ).
thf(f2764,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f1812,f28]) ).
thf(f2771,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f2764]) ).
thf(f4154,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f31,f2771]) ).
thf(f4185,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f4154]) ).
thf(f5212,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( z = X1 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_19
| ~ spl0_55 ),
inference(constrained_superposition,[],[f1674,f224]) ).
thf(f5214,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_19
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f5212]) ).
thf(f5855,definition,
( spl0_109
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
thf(f5856,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f5855]) ).
thf(f5892,definition,
( spl0_117
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
thf(f5893,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f5892]) ).
thf(f5904,definition,
( spl0_119
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
thf(f5905,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f5904]) ).
thf(f5913,definition,
( spl0_121
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
thf(f5914,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f5913]) ).
thf(f5916,definition,
( spl0_122
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
thf(f5917,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f5916]) ).
thf(f5930,definition,
( spl0_125
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
thf(f5931,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f5930]) ).
thf(f6092,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f4185,f35]) ).
thf(f6104,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f6092]) ).
thf(f6117,definition,
( spl0_132
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
thf(f6118,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f6117]) ).
thf(f6531,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_122 ),
inference(constrained_superposition,[],[f5917,f28]) ).
thf(f6542,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f6531]) ).
thf(f6554,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_16
| ~ spl0_122 ),
inference(constrained_superposition,[],[f6542,f187]) ).
thf(f6555,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f6554]) ).
thf(f6558,definition,
( spl0_137
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
thf(f6559,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f6558]) ).
thf(f6560,plain,
( spl0_119
| spl0_137
| ~ spl0_16
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f6555,f5916,f186,f6558,f5904]) ).
thf(f6571,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f75,f6559]) ).
thf(f6582,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f6571]) ).
thf(f6767,definition,
( spl0_143
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f6768,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f6767]) ).
thf(f7608,plain,
( ( ( s @ z )
!= ( s @ ( s @ z ) ) )
| spl0_24 ),
inference(avatar_component_clause,[],[f340]) ).
thf(f8060,definition,
( spl0_158
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
thf(f8061,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f8060]) ).
thf(f8062,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f621]) ).
thf(f8157,definition,
( spl0_162
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
thf(f8158,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_162 ),
inference(avatar_component_clause,[],[f8157]) ).
thf(f8159,plain,
( ~ spl0_162
| spl0_34
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f6582,f6558,f695,f8157]) ).
thf(f8174,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_24
| ~ spl0_43 ),
inference(extensionality_resolution,[],[f999,f7608]) ).
thf(f8184,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_18
| spl0_24
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f8174,f212]) ).
thf(f8186,definition,
( spl0_165
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
thf(f8187,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f8186]) ).
thf(f8189,definition,
( spl0_166
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
thf(f8190,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f8189]) ).
thf(f8193,definition,
( spl0_167
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
thf(f8194,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f8193]) ).
thf(f8196,definition,
( spl0_168
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
thf(f8197,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f8196]) ).
thf(f8201,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_125 ),
inference(avatar_component_clause,[],[f5930]) ).
thf(f8203,definition,
( spl0_169
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).
thf(f8204,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f8203]) ).
thf(f8205,plain,
( ~ spl0_125
| spl0_169
| spl0_18
| spl0_24
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f8184,f969,f340,f211,f8203,f5930]) ).
thf(f8466,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f130,f6768]) ).
thf(f8578,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f8466,f26]) ).
thf(f8608,plain,
( $false
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f8578,f32]) ).
thf(f8609,plain,
~ spl0_143,
inference(avatar_contradiction_clause,[],[f8608]) ).
thf(f8816,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f31,f338]) ).
thf(f8817,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f8816]) ).
thf(f8826,plain,
( spl0_158
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f8817,f155,f8060]) ).
thf(f8828,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_6
| spl0_34 ),
inference(constrained_superposition,[],[f696,f93]) ).
thf(f8831,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_6
| spl0_34 ),
inference(trivial_inequality_removal,[],[f8828]) ).
thf(f8841,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
= $true )
| ( X1 = X2 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( X0 = X1 ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f949,f8062]) ).
thf(f8844,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ~ spl0_19
| ~ spl0_30
| ~ spl0_55 ),
inference(constrained_superposition,[],[f5214,f8062]) ).
thf(f8846,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_19
| ~ spl0_30
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f8844]) ).
thf(f8852,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X2 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( X0 = X1 )
| ( X1 = X2 ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f8841]) ).
thf(f8862,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_43
| spl0_162 ),
inference(constrained_superposition,[],[f8158,f1275]) ).
thf(f8863,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_43
| spl0_162 ),
inference(trivial_inequality_removal,[],[f8862]) ).
thf(f8875,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_169 ),
inference(constrained_superposition,[],[f31,f8204]) ).
thf(f8886,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f8875]) ).
thf(f8898,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_158 ),
inference(constrained_superposition,[],[f8061,f35]) ).
thf(f8904,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_158 ),
inference(constrained_superposition,[],[f8061,f130]) ).
thf(f8915,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f8904]) ).
thf(f8917,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f8898]) ).
thf(f8922,plain,
( spl0_63
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f8915,f8060,f1717]) ).
thf(f8933,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f43,f8187]) ).
thf(f8959,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f8933]) ).
thf(f8965,definition,
( spl0_174
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
thf(f8966,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f8965]) ).
thf(f8968,definition,
( spl0_175
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
thf(f8969,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_175 ),
inference(avatar_component_clause,[],[f8968]) ).
thf(f8972,definition,
( spl0_176
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
thf(f8973,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f8972]) ).
thf(f8979,definition,
( spl0_178
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
thf(f8980,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_178 ),
inference(avatar_component_clause,[],[f8979]) ).
thf(f8984,plain,
( ~ spl0_178
| spl0_125
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f8959,f8186,f5930,f8979]) ).
thf(f8986,definition,
( spl0_179
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
thf(f8987,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f8986]) ).
thf(f8994,definition,
( spl0_181
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
thf(f8995,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f8994]) ).
thf(f8999,definition,
( spl0_182
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
thf(f9000,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f8999]) ).
thf(f9003,definition,
( spl0_183
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f9004,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f9003]) ).
thf(f9006,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_178 ),
inference(constrained_superposition,[],[f8980,f36]) ).
thf(f9007,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_178 ),
inference(trivial_inequality_removal,[],[f9006]) ).
thf(f9008,plain,
( spl0_182
| spl0_178 ),
inference(avatar_split_clause,[],[f9007,f8979,f8999]) ).
thf(f9055,definition,
( spl0_184
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
thf(f9056,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f9055]) ).
thf(f9062,definition,
( spl0_186
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f9063,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ z ) ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f9062]) ).
thf(f9066,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_175 ),
inference(constrained_superposition,[],[f8969,f130]) ).
thf(f9074,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_175 ),
inference(trivial_inequality_removal,[],[f9066]) ).
thf(f9080,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_44
| spl0_175 ),
inference(constrained_superposition,[],[f974,f9074]) ).
thf(f9090,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_175 ),
inference(constrained_superposition,[],[f29,f9074]) ).
thf(f9097,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_44
| spl0_175 ),
inference(trivial_inequality_removal,[],[f9080]) ).
thf(f9103,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_175 ),
inference(trivial_inequality_removal,[],[f9090]) ).
thf(f9117,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_13
| ~ spl0_44
| spl0_175 ),
inference(forward_subsumption_resolution,[],[f9097,f397]) ).
thf(f9120,definition,
( spl0_188
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
thf(f9121,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f9120]) ).
thf(f9122,plain,
( spl0_184
| spl0_188
| spl0_175 ),
inference(avatar_split_clause,[],[f9103,f8968,f9120,f9055]) ).
thf(f9127,definition,
( spl0_189
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
thf(f9128,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f9127]) ).
thf(f9130,definition,
( spl0_190
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f9131,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f9130]) ).
thf(f9132,plain,
( spl0_189
| spl0_190
| spl0_13
| ~ spl0_44
| spl0_175 ),
inference(avatar_split_clause,[],[f9117,f8968,f973,f175,f9130,f9127]) ).
thf(f9136,definition,
( spl0_191
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
thf(f9137,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f9136]) ).
thf(f9217,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f53,f341]) ).
thf(f9291,definition,
( spl0_192
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f9292,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f9291]) ).
thf(f9294,definition,
( spl0_193
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
thf(f9295,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f9294]) ).
thf(f9318,definition,
( spl0_194
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f9319,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f9318]) ).
thf(f9332,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f9217,f32]) ).
thf(f9349,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f9332,f26]) ).
thf(f9350,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f9349]) ).
thf(f9357,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_24
| ~ spl0_43 ),
inference(extensionality_resolution,[],[f1275,f7608]) ).
thf(f9371,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_125 ),
inference(constrained_superposition,[],[f8201,f28]) ).
thf(f9372,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_125 ),
inference(trivial_inequality_removal,[],[f9371]) ).
thf(f9373,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_125 ),
inference(forward_subsumption_resolution,[],[f9372,f30]) ).
thf(f9374,plain,
( spl0_117
| spl0_125 ),
inference(avatar_split_clause,[],[f9373,f5930,f5892]) ).
thf(f9419,definition,
( spl0_195
<=> ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
thf(f9420,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f9419]) ).
thf(f9422,definition,
( spl0_196
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
thf(f9423,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f9422]) ).
thf(f9431,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f43,f9131]) ).
thf(f9435,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_14
| ~ spl0_42
| ~ spl0_43
| ~ spl0_190 ),
inference(constrained_superposition,[],[f1463,f9131]) ).
thf(f9450,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_14
| ~ spl0_42
| ~ spl0_43
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f9435]) ).
thf(f9457,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f9431]) ).
thf(f9464,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| spl0_5
| ~ spl0_14
| ~ spl0_42
| ~ spl0_43
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f9450,f237]) ).
thf(f9465,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_5
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f9457,f237]) ).
thf(f9469,definition,
( spl0_197
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
thf(f9470,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f9469]) ).
thf(f9471,plain,
( spl0_197
| spl0_143
| spl0_5
| ~ spl0_14
| ~ spl0_42
| ~ spl0_43
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f9464,f9130,f969,f965,f179,f84,f6767,f9469]) ).
thf(f9472,plain,
( spl0_191
| spl0_5
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f9465,f9130,f84,f9136]) ).
thf(f9491,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_119 ),
inference(constrained_superposition,[],[f129,f5905]) ).
thf(f9606,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f9491,f32]) ).
thf(f9635,plain,
( $false
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f9606,f26]) ).
thf(f9636,plain,
~ spl0_119,
inference(avatar_contradiction_clause,[],[f9635]) ).
thf(f9662,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_191 ),
inference(constrained_superposition,[],[f281,f9137]) ).
thf(f9679,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f9662]) ).
thf(f9694,definition,
( spl0_199
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
thf(f9695,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f9694]) ).
thf(f9698,definition,
( spl0_200
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
thf(f9699,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f9698]) ).
thf(f9700,plain,
( spl0_200
| spl0_143
| ~ spl0_14
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f9679,f9136,f179,f6767,f9698]) ).
thf(f9705,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_182
| ~ spl0_199 ),
inference(constrained_superposition,[],[f9000,f9695]) ).
thf(f9800,plain,
( spl0_179
| ~ spl0_182
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f9705,f9694,f8999,f8986]) ).
thf(f9806,definition,
( spl0_201
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
thf(f9807,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f9806]) ).
thf(f9818,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f31,f9699]) ).
thf(f9824,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f9818]) ).
thf(f9903,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_40
| ~ spl0_168 ),
inference(constrained_superposition,[],[f1890,f8197]) ).
thf(f9908,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_3
| ~ spl0_168 ),
inference(constrained_superposition,[],[f103,f8197]) ).
thf(f9919,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_3
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f9908]) ).
thf(f9927,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_40
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f9903]) ).
thf(f9933,definition,
( spl0_202
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
thf(f9934,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_202 ),
inference(avatar_component_clause,[],[f9933]) ).
thf(f9935,plain,
( ~ spl0_202
| spl0_179
| spl0_195
| ~ spl0_3
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f9919,f8196,f77,f9419,f8986,f9933]) ).
thf(f9937,definition,
( spl0_203
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f9938,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_203 ),
inference(avatar_component_clause,[],[f9937]) ).
thf(f9942,definition,
( spl0_204
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
thf(f9943,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f9942]) ).
thf(f9945,plain,
( spl0_195
| ~ spl0_202
| ~ spl0_40
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f9927,f8196,f833,f9933,f9419]) ).
thf(f9947,definition,
( spl0_205
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
thf(f9948,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f9947]) ).
thf(f9955,definition,
( spl0_207
<=> ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f9956,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f9955]) ).
thf(f9969,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f9420,f53]) ).
thf(f9974,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f9969]) ).
thf(f9975,plain,
( spl0_23
| spl0_204
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f9974,f9419,f9942,f303]) ).
thf(f9982,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f43,f9943]) ).
thf(f9983,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f48,f9943]) ).
thf(f9993,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f31,f9943]) ).
thf(f9999,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f9993]) ).
thf(f10000,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f9983]) ).
thf(f10005,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f9982]) ).
thf(f10015,plain,
( spl0_192
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f9999,f9942,f9291]) ).
thf(f10016,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_5
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f10000,f237]) ).
thf(f10022,plain,
( spl0_179
| spl0_5
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f10016,f9942,f84,f8986]) ).
thf(f10030,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_5
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f10005,f237]) ).
thf(f10034,plain,
( spl0_125
| spl0_5
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f10030,f9942,f84,f5930]) ).
thf(f10040,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_125
| ~ spl0_195 ),
inference(constrained_superposition,[],[f9420,f5931]) ).
thf(f10056,plain,
( ! [X0: $i] :
( ( b @ z @ X0 )
!= $true )
| ~ spl0_125
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f10040]) ).
thf(f10069,plain,
( spl0_67
| ~ spl0_125
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f10056,f9419,f5930,f1753]) ).
thf(f10071,plain,
( ( $true != $true )
| ~ spl0_19
| ~ spl0_67 ),
inference(constrained_superposition,[],[f1754,f224]) ).
thf(f10072,plain,
( ( $true != $true )
| ~ spl0_67
| ~ spl0_182 ),
inference(constrained_superposition,[],[f1754,f9000]) ).
thf(f10074,plain,
( $false
| ~ spl0_67
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f10072]) ).
thf(f10075,plain,
( ~ spl0_67
| ~ spl0_182 ),
inference(avatar_contradiction_clause,[],[f10074]) ).
thf(f10076,plain,
( $false
| ~ spl0_19
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f10071]) ).
thf(f10077,plain,
( ~ spl0_19
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f10076]) ).
thf(f10132,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_40
| ~ spl0_122 ),
inference(constrained_superposition,[],[f5917,f834]) ).
thf(f10144,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_40
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f10132]) ).
thf(f10176,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_193 ),
inference(avatar_component_clause,[],[f9294]) ).
thf(f10184,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_193 ),
inference(constrained_superposition,[],[f10176,f53]) ).
thf(f10186,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_193 ),
inference(constrained_superposition,[],[f10176,f28]) ).
thf(f10187,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_193 ),
inference(trivial_inequality_removal,[],[f10184]) ).
thf(f10189,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_193 ),
inference(trivial_inequality_removal,[],[f10186]) ).
thf(f10190,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f905,f8194]) ).
thf(f10194,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f43,f8194]) ).
thf(f10198,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_14
| ~ spl0_42
| ~ spl0_43
| ~ spl0_167 ),
inference(constrained_superposition,[],[f1463,f8194]) ).
thf(f10202,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_41
| ~ spl0_42
| ~ spl0_167 ),
inference(constrained_superposition,[],[f1329,f8194]) ).
thf(f10204,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f31,f8194]) ).
thf(f10207,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_14
| ~ spl0_42
| ~ spl0_43
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f10198]) ).
thf(f10208,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f10190]) ).
thf(f10210,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f10194]) ).
thf(f10213,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_41
| ~ spl0_42
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f10202]) ).
thf(f10214,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f10204]) ).
thf(f10221,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_121 ),
inference(avatar_component_clause,[],[f5913]) ).
thf(f10222,plain,
( spl0_197
| ~ spl0_121
| spl0_143
| ~ spl0_14
| ~ spl0_42
| ~ spl0_43
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f10207,f8193,f969,f965,f179,f6767,f5913,f9469]) ).
thf(f10223,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_137
| ~ spl0_167 ),
inference(forward_subsumption_resolution,[],[f10208,f6559]) ).
thf(f10239,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f8979]) ).
thf(f10242,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_41
| ~ spl0_42
| ~ spl0_167 ),
inference(forward_subsumption_resolution,[],[f10213,f30]) ).
thf(f10244,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_41
| ~ spl0_42
| ~ spl0_167 ),
inference(forward_subsumption_resolution,[],[f10242,f30]) ).
thf(f10245,plain,
( spl0_117
| spl0_119
| spl0_178
| spl0_183
| ~ spl0_41
| ~ spl0_42
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f10244,f8193,f965,f961,f9003,f8979,f5904,f5892]) ).
thf(f10246,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_121 ),
inference(constrained_superposition,[],[f10221,f36]) ).
thf(f10247,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_121 ),
inference(trivial_inequality_removal,[],[f10246]) ).
thf(f10264,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_137
| ~ spl0_167 ),
inference(constrained_superposition,[],[f29,f10223]) ).
thf(f10276,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_137
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f10264]) ).
thf(f10287,plain,
( spl0_184
| spl0_188
| ~ spl0_137
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f10276,f8193,f6558,f9120,f9055]) ).
thf(f10295,definition,
( spl0_210
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
thf(f10296,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f10295]) ).
thf(f10302,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f211]) ).
thf(f10304,plain,
( spl0_16
| spl0_132
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f6104,f1811,f6117,f186]) ).
thf(f10305,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_137 ),
inference(avatar_component_clause,[],[f6558]) ).
thf(f10307,definition,
( spl0_212
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).
thf(f10308,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f10307]) ).
thf(f10309,plain,
( ~ spl0_137
| spl0_212
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f10208,f8193,f10307,f6558]) ).
thf(f10325,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f9937]) ).
thf(f10333,plain,
( spl0_137
| spl0_18
| spl0_117
| spl0_24
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f9357,f969,f340,f5892,f211,f6558]) ).
thf(f10339,plain,
( spl0_16
| ~ spl0_6
| spl0_34 ),
inference(avatar_split_clause,[],[f8831,f695,f92,f186]) ).
thf(f10359,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_4
| ~ spl0_158 ),
inference(forward_subsumption_resolution,[],[f8917,f536]) ).
thf(f10387,plain,
( spl0_16
| spl0_4
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f10359,f8060,f80,f186]) ).
thf(f10394,definition,
( spl0_229
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).
thf(f10395,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f10394]) ).
thf(f10396,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f95]) ).
thf(f10398,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_19
| ~ spl0_30
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f8846,f30]) ).
thf(f10412,definition,
( spl0_232
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
thf(f10413,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f10412]) ).
thf(f10415,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_13
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1297,f30]) ).
thf(f10416,plain,
( ~ spl0_4
| ~ spl0_40
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f10144,f5916,f833,f80]) ).
thf(f10437,plain,
( spl0_16
| ~ spl0_7
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f8917,f8060,f95,f186]) ).
thf(f10443,plain,
( spl0_7
| spl0_232
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1277,f969,f10412,f95]) ).
thf(f10453,definition,
( spl0_237
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).
thf(f10454,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f10453]) ).
thf(f10459,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_43
| spl0_162 ),
inference(forward_subsumption_resolution,[],[f8863,f30]) ).
thf(f10463,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_19
| ~ spl0_30
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f10398,f30]) ).
thf(f10468,plain,
( spl0_7
| spl0_18
| spl0_13
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f10415,f969,f175,f211,f95]) ).
thf(f10488,plain,
( spl0_117
| spl0_7
| ~ spl0_43
| spl0_162 ),
inference(avatar_split_clause,[],[f10459,f8157,f969,f95,f5892]) ).
thf(f10491,plain,
( spl0_18
| spl0_7
| ~ spl0_19
| ~ spl0_30
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f10463,f1673,f621,f223,f95,f211]) ).
thf(f10521,plain,
( spl0_55
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f8852,f621,f1673]) ).
thf(f10551,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f31,f10302]) ).
thf(f10552,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f10551]) ).
thf(f10558,plain,
( spl0_109
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f10552,f211,f5855]) ).
thf(f10598,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f502,f53]) ).
thf(f10602,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f10598]) ).
thf(f10604,plain,
( spl0_229
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f10602,f501,f10394]) ).
thf(f10605,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_137 ),
inference(constrained_superposition,[],[f10305,f130]) ).
thf(f10614,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_137 ),
inference(trivial_inequality_removal,[],[f10605]) ).
thf(f10618,plain,
( spl0_176
| spl0_137 ),
inference(avatar_split_clause,[],[f10614,f6558,f8972]) ).
thf(f10624,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_40
| ~ spl0_176 ),
inference(constrained_superposition,[],[f1890,f8973]) ).
thf(f10626,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_2
| ~ spl0_176 ),
inference(constrained_superposition,[],[f64,f8973]) ).
thf(f10628,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_43
| ~ spl0_176 ),
inference(constrained_superposition,[],[f970,f8973]) ).
thf(f10635,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_2
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f10626]) ).
thf(f10642,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_40
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f10624]) ).
thf(f10644,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_43
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f10628]) ).
thf(f10654,definition,
( spl0_241
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).
thf(f10655,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f10654]) ).
thf(f10659,plain,
( spl0_195
| ~ spl0_30
| ~ spl0_40
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f10642,f8972,f833,f621,f9419]) ).
thf(f10660,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_13
| ~ spl0_14 ),
inference(constrained_superposition,[],[f581,f176]) ).
thf(f10667,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f31,f176]) ).
thf(f10674,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f10667]) ).
thf(f10675,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f10660]) ).
thf(f10677,plain,
( spl0_158
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f10674,f175,f8060]) ).
thf(f10680,plain,
( spl0_179
| spl0_121 ),
inference(avatar_split_clause,[],[f10247,f5913,f8986]) ).
thf(f10682,plain,
( spl0_204
| spl0_193 ),
inference(avatar_split_clause,[],[f10187,f9294,f9942]) ).
thf(f10684,plain,
( spl0_117
| ~ spl0_16
| ~ spl0_43
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f10644,f8972,f969,f186,f5892]) ).
thf(f10686,plain,
( spl0_204
| ~ spl0_30
| ~ spl0_2
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f10635,f8972,f63,f621,f9942]) ).
thf(f10688,plain,
( spl0_143
| spl0_204
| spl0_193 ),
inference(avatar_split_clause,[],[f10189,f9294,f9942,f6767]) ).
thf(f10695,plain,
( spl0_191
| ~ spl0_121
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f10210,f8193,f5913,f9136]) ).
thf(f10725,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f143,f5893]) ).
thf(f10734,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f10725]) ).
thf(f10738,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_18
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f10734,f10302]) ).
thf(f10739,plain,
( spl0_174
| ~ spl0_18
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f10738,f5892,f211,f8965]) ).
thf(f10741,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_121 ),
inference(constrained_superposition,[],[f31,f5914]) ).
thf(f10742,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f10741]) ).
thf(f10744,plain,
( spl0_201
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f10742,f5913,f9806]) ).
thf(f10953,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_44
| ~ spl0_174 ),
inference(constrained_superposition,[],[f974,f8966]) ).
thf(f10967,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_44
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f10953]) ).
thf(f10987,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_14 ),
inference(constrained_superposition,[],[f281,f81]) ).
thf(f11008,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f10987]) ).
thf(f11016,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f11008,f30]) ).
thf(f11018,plain,
( spl0_10
| ~ spl0_4
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f11016,f179,f80,f155]) ).
thf(f11026,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_5
| ~ spl0_10 ),
inference(constrained_superposition,[],[f239,f338]) ).
thf(f11027,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f43,f338]) ).
thf(f11031,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ z ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f11027]) ).
thf(f11032,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_5
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f11026]) ).
thf(f11052,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| spl0_34 ),
inference(constrained_superposition,[],[f696,f88]) ).
thf(f11055,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| spl0_34 ),
inference(trivial_inequality_removal,[],[f11052]) ).
thf(f11153,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_13
| ~ spl0_109 ),
inference(constrained_superposition,[],[f5856,f176]) ).
thf(f11155,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f5856,f130]) ).
thf(f11157,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f11155]) ).
thf(f11163,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_13
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f11153]) ).
thf(f11164,plain,
( spl0_210
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f11157,f5855,f10295]) ).
thf(f11166,plain,
( $false
| spl0_5
| ~ spl0_13
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f11163,f237]) ).
thf(f11167,plain,
( spl0_5
| ~ spl0_13
| ~ spl0_109 ),
inference(avatar_contradiction_clause,[],[f11166]) ).
thf(f11201,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_43
| ~ spl0_203 ),
inference(constrained_superposition,[],[f970,f10325]) ).
thf(f11209,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_43
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f11201]) ).
thf(f11221,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_43
| ~ spl0_191
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f11209,f9137]) ).
thf(f11228,plain,
( $false
| spl0_18
| ~ spl0_43
| ~ spl0_191
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f11221,f212]) ).
thf(f11229,plain,
( spl0_18
| ~ spl0_43
| ~ spl0_191
| ~ spl0_203 ),
inference(avatar_contradiction_clause,[],[f11228]) ).
thf(f11259,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_201 ),
inference(constrained_superposition,[],[f9807,f129]) ).
thf(f11275,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f11259]) ).
thf(f11305,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_117
| ~ spl0_192 ),
inference(constrained_superposition,[],[f9292,f5893]) ).
thf(f11321,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_117
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f11305]) ).
thf(f11332,plain,
( $false
| ~ spl0_7
| ~ spl0_117
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f11321,f10396]) ).
thf(f11333,plain,
( ~ spl0_7
| ~ spl0_117
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f11332]) ).
thf(f11384,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f9056,f53]) ).
thf(f11386,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_184
| ~ spl0_191 ),
inference(constrained_superposition,[],[f9056,f9137]) ).
thf(f11388,plain,
( ! [X0: $i] :
( ( b @ z @ X0 )
!= $true )
| ~ spl0_184
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f11386]) ).
thf(f11390,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f11384]) ).
thf(f11392,plain,
( spl0_67
| ~ spl0_184
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f11388,f9136,f9055,f1753]) ).
thf(f11393,plain,
( spl0_23
| spl0_190
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f11390,f9055,f9130,f303]) ).
thf(f11407,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_191
| ~ spl0_229 ),
inference(constrained_superposition,[],[f10395,f9137]) ).
thf(f11408,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f10395,f28]) ).
thf(f11409,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f11408]) ).
thf(f11410,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_191
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f11407]) ).
thf(f11412,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f11409,f30]) ).
thf(f11413,plain,
( spl0_190
| ~ spl0_191
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f11410,f10394,f9136,f9130]) ).
thf(f11414,plain,
( spl0_237
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f11412,f10394,f10453]) ).
thf(f11439,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_165
| ~ spl0_169 ),
inference(constrained_superposition,[],[f8886,f8187]) ).
thf(f11455,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_165
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f11439]) ).
thf(f11457,plain,
( ~ spl0_175
| ~ spl0_165
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f11455,f8203,f8186,f8968]) ).
thf(f11498,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_20
| ~ spl0_193 ),
inference(constrained_superposition,[],[f227,f9295]) ).
thf(f11505,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_20
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f11498]) ).
thf(f11507,plain,
( $false
| ~ spl0_20
| spl0_125
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f11505,f8201]) ).
thf(f11508,plain,
( ~ spl0_20
| spl0_125
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[],[f11507]) ).
thf(f11515,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f10214,f129]) ).
thf(f11529,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f11515]) ).
thf(f11539,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_169 ),
inference(avatar_component_clause,[],[f8203]) ).
thf(f11551,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_169 ),
inference(constrained_superposition,[],[f11539,f129]) ).
thf(f11557,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_169 ),
inference(trivial_inequality_removal,[],[f11551]) ).
thf(f11563,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_121
| ~ spl0_210 ),
inference(constrained_superposition,[],[f10296,f5914]) ).
thf(f11565,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_121
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f11563]) ).
thf(f11619,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f966,f28]) ).
thf(f11623,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f11619]) ).
thf(f11666,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f31,f9470]) ).
thf(f11668,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f11666]) ).
thf(f11684,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f75,f1679]) ).
thf(f11688,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_56
| ~ spl0_167 ),
inference(constrained_superposition,[],[f10214,f1679]) ).
thf(f11694,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f11684]) ).
thf(f11701,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_56
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f11688]) ).
thf(f11704,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_7
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f11694,f10396]) ).
thf(f11705,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_56
| ~ spl0_117
| ~ spl0_167 ),
inference(forward_subsumption_resolution,[],[f11701,f5893]) ).
thf(f11706,plain,
( spl0_60
| ~ spl0_7
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f11704,f1678,f95,f1703]) ).
thf(f11707,plain,
( spl0_183
| ~ spl0_56
| ~ spl0_117
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f11705,f8193,f5892,f1678,f9003]) ).
thf(f12364,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_60
| ~ spl0_241 ),
inference(constrained_superposition,[],[f10655,f1704]) ).
thf(f12382,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_60
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f12364]) ).
thf(f12454,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_6
| ~ spl0_21 ),
inference(constrained_superposition,[],[f232,f93]) ).
thf(f12473,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_6
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f12454]) ).
thf(f12474,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f12473]) ).
thf(f12515,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_232 ),
inference(constrained_superposition,[],[f48,f10413]) ).
thf(f12521,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f12515]) ).
thf(f12530,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| spl0_5
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f12521,f173]) ).
thf(f12534,definition,
( spl0_266
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
thf(f12535,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f12534]) ).
thf(f12538,plain,
( spl0_266
| spl0_5
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f12530,f10412,f84,f12534]) ).
thf(f12545,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_200
| ~ spl0_237 ),
inference(constrained_superposition,[],[f9824,f10454]) ).
thf(f12554,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_13
| ~ spl0_14
| ~ spl0_237 ),
inference(constrained_superposition,[],[f10675,f10454]) ).
thf(f12566,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_13
| ~ spl0_14
| ~ spl0_237 ),
inference(duplicate_literal_removal,[],[f12554]) ).
thf(f12567,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_13
| ~ spl0_14
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f12566]) ).
thf(f12573,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_200
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f12545]) ).
thf(f12576,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_204 ),
inference(avatar_component_clause,[],[f9942]) ).
thf(f12581,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_13
| ~ spl0_14
| ~ spl0_237 ),
inference(forward_subsumption_resolution,[],[f12567,f30]) ).
thf(f12583,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_13
| ~ spl0_200
| ~ spl0_237 ),
inference(forward_subsumption_resolution,[],[f12573,f176]) ).
thf(f12585,plain,
( spl0_56
| ~ spl0_13
| ~ spl0_14
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f12581,f10453,f179,f175,f1678]) ).
thf(f12586,plain,
( spl0_181
| ~ spl0_13
| ~ spl0_200
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f12583,f10453,f9698,f175,f8994]) ).
thf(f12617,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_117
| ~ spl0_132 ),
inference(constrained_superposition,[],[f6118,f5893]) ).
thf(f12625,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_117
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f12617]) ).
thf(f12633,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f8157]) ).
thf(f12634,plain,
( spl0_143
| spl0_162
| spl0_119
| ~ spl0_117
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f12625,f6117,f5892,f5904,f8157,f6767]) ).
thf(f13064,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_10
| ~ spl0_197 ),
inference(constrained_superposition,[],[f11668,f338]) ).
thf(f13086,plain,
( ( z
= ( s @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f13064]) ).
thf(f13147,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_19
| ~ spl0_196 ),
inference(constrained_superposition,[],[f9423,f224]) ).
thf(f13150,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_19
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f13147]) ).
thf(f13153,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_19
| spl0_137
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f13150,f10305]) ).
thf(f13154,plain,
( spl0_119
| ~ spl0_19
| spl0_137
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f13153,f9422,f6558,f223,f5904]) ).
thf(f13307,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ ( s @ z ) ) )
| spl0_119 ),
inference(avatar_component_clause,[],[f5904]) ).
thf(f13350,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| spl0_119 ),
inference(extensionality_resolution,[],[f41,f13307]) ).
thf(f13351,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_119 ),
inference(extensionality_resolution,[],[f41,f13307]) ).
thf(f13352,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_119 ),
inference(extensionality_resolution,[],[f51,f13307]) ).
thf(f13353,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_119 ),
inference(extensionality_resolution,[],[f51,f13307]) ).
thf(f13354,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_119 ),
inference(extensionality_resolution,[],[f37,f13307]) ).
thf(f13355,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_119 ),
inference(extensionality_resolution,[],[f37,f13307]) ).
thf(f13359,definition,
( spl0_267
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_267])],[avatar_definition]) ).
thf(f13360,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_267 ),
inference(avatar_component_clause,[],[f13359]) ).
thf(f13362,definition,
( spl0_268
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).
thf(f13363,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f13362]) ).
thf(f13364,plain,
( spl0_267
| spl0_268
| spl0_119 ),
inference(avatar_split_clause,[],[f13353,f5904,f13362,f13359]) ).
thf(f13366,definition,
( spl0_269
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
thf(f13367,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f13366]) ).
thf(f13369,definition,
( spl0_270
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).
thf(f13370,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f13369]) ).
thf(f13371,plain,
( spl0_269
| spl0_270
| spl0_119 ),
inference(avatar_split_clause,[],[f13352,f5904,f13369,f13366]) ).
thf(f13372,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_167
| ~ spl0_267 ),
inference(constrained_superposition,[],[f10214,f13360]) ).
thf(f13375,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_267 ),
inference(constrained_superposition,[],[f143,f13360]) ).
thf(f13386,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f13375]) ).
thf(f13388,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_167
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f13372]) ).
thf(f13395,definition,
( spl0_272
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
thf(f13396,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_272 ),
inference(avatar_component_clause,[],[f13395]) ).
thf(f13399,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_203
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f13386,f9938]) ).
thf(f13400,plain,
( ~ spl0_272
| spl0_203
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f13399,f13359,f9937,f13395]) ).
thf(f13401,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_272 ),
inference(constrained_superposition,[],[f13396,f130]) ).
thf(f13410,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_272 ),
inference(trivial_inequality_removal,[],[f13401]) ).
thf(f13415,definition,
( spl0_273
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_273])],[avatar_definition]) ).
thf(f13416,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_273 ),
inference(avatar_component_clause,[],[f13415]) ).
thf(f13419,definition,
( spl0_274
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).
thf(f13420,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f13419]) ).
thf(f13431,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_273 ),
inference(constrained_superposition,[],[f31,f13416]) ).
thf(f13440,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_273 ),
inference(trivial_inequality_removal,[],[f13431]) ).
thf(f13447,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_274 ),
inference(constrained_superposition,[],[f129,f13420]) ).
thf(f13552,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f13447,f26]) ).
thf(f13575,plain,
( $false
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f13552,f32]) ).
thf(f13576,plain,
~ spl0_274,
inference(avatar_contradiction_clause,[],[f13575]) ).
thf(f13599,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| spl0_272 ),
inference(constrained_superposition,[],[f29,f13410]) ).
thf(f13604,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) )
| spl0_272 ),
inference(trivial_inequality_removal,[],[f13599]) ).
thf(f13622,definition,
( spl0_275
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
thf(f13623,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f13622]) ).
thf(f13625,definition,
( spl0_276
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).
thf(f13626,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_276 ),
inference(avatar_component_clause,[],[f13625]) ).
thf(f13627,plain,
( spl0_275
| spl0_276
| spl0_272 ),
inference(avatar_split_clause,[],[f13604,f13395,f13625,f13622]) ).
thf(f13635,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_167
| ~ spl0_267 ),
inference(constrained_superposition,[],[f13388,f51]) ).
thf(f13638,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_167
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f13635]) ).
thf(f13640,definition,
( spl0_278
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
thf(f13641,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_278 ),
inference(avatar_component_clause,[],[f13640]) ).
thf(f13642,plain,
( spl0_143
| spl0_278
| ~ spl0_167
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f13638,f13359,f8193,f13640,f6767]) ).
thf(f13646,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_278 ),
inference(constrained_superposition,[],[f232,f13641]) ).
thf(f13651,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_278 ),
inference(constrained_superposition,[],[f64,f13641]) ).
thf(f13661,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_2
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f13651]) ).
thf(f13670,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_21
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f13646]) ).
thf(f13676,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_2
| ~ spl0_193
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f13661,f9295]) ).
thf(f13685,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_21
| ~ spl0_174
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f13670,f8966]) ).
thf(f13694,definition,
( spl0_282
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_282])],[avatar_definition]) ).
thf(f13695,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_282 ),
inference(avatar_component_clause,[],[f13694]) ).
thf(f13698,plain,
( spl0_282
| ~ spl0_2
| ~ spl0_193
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f13676,f13640,f9294,f63,f13694]) ).
thf(f13700,definition,
( spl0_283
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).
thf(f13701,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_283 ),
inference(avatar_component_clause,[],[f13700]) ).
thf(f13709,plain,
( spl0_283
| ~ spl0_21
| ~ spl0_174
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f13685,f13640,f8965,f231,f13700]) ).
thf(f13814,definition,
( spl0_287
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
thf(f13815,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f13814]) ).
thf(f13827,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_273
| ~ spl0_282 ),
inference(constrained_superposition,[],[f13440,f13695]) ).
thf(f13835,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_197
| ~ spl0_282 ),
inference(constrained_superposition,[],[f11668,f13695]) ).
thf(f13836,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_13
| ~ spl0_14
| ~ spl0_282 ),
inference(constrained_superposition,[],[f10675,f13695]) ).
thf(f13840,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_273
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f13827]) ).
thf(f13845,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_197
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f13835]) ).
thf(f13849,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_13
| ~ spl0_14
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f13836]) ).
thf(f13851,plain,
( $false
| spl0_5
| ~ spl0_273
| ~ spl0_282 ),
inference(forward_subsumption_resolution,[],[f13840,f237]) ).
thf(f13852,plain,
( spl0_5
| ~ spl0_273
| ~ spl0_282 ),
inference(avatar_contradiction_clause,[],[f13851]) ).
thf(f13855,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_5
| ~ spl0_197
| ~ spl0_282 ),
inference(forward_subsumption_resolution,[],[f13845,f237]) ).
thf(f13860,plain,
( spl0_189
| spl0_199
| spl0_5
| ~ spl0_197
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f13855,f13694,f9469,f84,f9694,f9127]) ).
thf(f13863,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_13
| ~ spl0_14
| ~ spl0_282 ),
inference(forward_subsumption_resolution,[],[f13849,f30]) ).
thf(f13864,plain,
( spl0_273
| spl0_274
| ~ spl0_13
| ~ spl0_14
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f13863,f13694,f179,f175,f13419,f13415]) ).
thf(f13865,plain,
( ~ spl0_8
| spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f11032,f155,f84,f148]) ).
thf(f13866,plain,
( spl0_165
| spl0_166
| spl0_119 ),
inference(avatar_split_clause,[],[f13355,f5904,f8189,f8186]) ).
thf(f13869,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_10
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f13086,f30]) ).
thf(f13870,plain,
( spl0_19
| ~ spl0_3
| spl0_34 ),
inference(avatar_split_clause,[],[f11055,f695,f77,f223]) ).
thf(f13874,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_44
| ~ spl0_174
| spl0_204 ),
inference(forward_subsumption_resolution,[],[f10967,f12576]) ).
thf(f13880,definition,
( spl0_290
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).
thf(f13881,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f13880]) ).
thf(f13885,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f148]) ).
thf(f13887,plain,
( spl0_176
| ~ spl0_121
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f11565,f10295,f5913,f8972]) ).
thf(f13890,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_4
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f11031,f491]) ).
thf(f13899,definition,
( spl0_292
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
thf(f13900,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f13899]) ).
thf(f13904,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f13869,f30]) ).
thf(f13906,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_24
| ~ spl0_44
| ~ spl0_174
| spl0_204 ),
inference(forward_subsumption_resolution,[],[f13874,f7608]) ).
thf(f13912,plain,
( ~ spl0_8
| spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f13890,f155,f80,f148]) ).
thf(f13917,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f13904,f9469,f155,f148]) ).
thf(f13918,plain,
( spl0_13
| spl0_24
| ~ spl0_44
| ~ spl0_174
| spl0_204 ),
inference(avatar_split_clause,[],[f13906,f9942,f8965,f973,f340,f175]) ).
thf(f13921,plain,
( spl0_174
| spl0_169 ),
inference(avatar_split_clause,[],[f11557,f8203,f8965]) ).
thf(f13924,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_60
| spl0_119
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f12382,f13307]) ).
thf(f13931,plain,
( ~ spl0_8
| spl0_174
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f11275,f9806,f8965,f148]) ).
thf(f13934,plain,
( spl0_25
| ~ spl0_34
| ~ spl0_6
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f12474,f231,f92,f695,f399]) ).
thf(f13942,plain,
( ~ spl0_34
| ~ spl0_60
| spl0_119
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f13924,f10654,f5904,f1703,f695]) ).
thf(f13946,plain,
( spl0_203
| ~ spl0_169
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f11529,f8193,f8203,f9937]) ).
thf(f13949,plain,
( spl0_169
| spl0_241
| spl0_15
| spl0_119 ),
inference(avatar_split_clause,[],[f13350,f5904,f182,f10654,f8203]) ).
thf(f13951,plain,
( spl0_241
| spl0_137
| spl0_195
| spl0_119 ),
inference(avatar_split_clause,[],[f13351,f5904,f9419,f6558,f10654]) ).
thf(f13959,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_23 ),
inference(constrained_superposition,[],[f304,f88]) ).
thf(f13960,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_6
| ~ spl0_23 ),
inference(constrained_superposition,[],[f304,f93]) ).
thf(f13962,plain,
( ( $true != $true )
| ~ spl0_23
| ~ spl0_40 ),
inference(constrained_superposition,[],[f304,f834]) ).
thf(f13965,plain,
( ! [X0: $i] :
( ( b @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_3
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f13959]) ).
thf(f13966,plain,
( $false
| ~ spl0_23
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f13962]) ).
thf(f13967,plain,
( ~ spl0_23
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f13966]) ).
thf(f13971,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ~ spl0_6
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f13960]) ).
thf(f13972,plain,
( $false
| ~ spl0_3
| ~ spl0_23
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f13965,f1754]) ).
thf(f13973,plain,
( ~ spl0_3
| ~ spl0_23
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f13972]) ).
thf(f13975,plain,
( spl0_51
| ~ spl0_6
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f13971,f303,f92,f1658]) ).
thf(f13976,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_3
| ~ spl0_8 ),
inference(constrained_superposition,[],[f78,f13885]) ).
thf(f13977,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f31,f13885]) ).
thf(f13978,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f13977]) ).
thf(f13979,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_3
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f13976]) ).
thf(f13980,plain,
( spl0_109
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f13978,f148,f5855]) ).
thf(f13981,plain,
( spl0_34
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f13979,f148,f77,f695]) ).
thf(f14011,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f130,f9128]) ).
thf(f14106,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f14011,f32]) ).
thf(f14135,plain,
( $false
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f14106,f26]) ).
thf(f14136,plain,
~ spl0_189,
inference(avatar_contradiction_clause,[],[f14135]) ).
thf(f14141,plain,
( $false
| ~ spl0_35
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f700,f1754]) ).
thf(f14142,plain,
( ~ spl0_35
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f14141]) ).
thf(f14147,plain,
( spl0_167
| spl0_168
| spl0_119 ),
inference(avatar_split_clause,[],[f13354,f5904,f8196,f8193]) ).
thf(f14178,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_19 ),
inference(avatar_component_clause,[],[f223]) ).
thf(f14188,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X3 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f29,f400]) ).
thf(f14199,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X3 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f14188]) ).
thf(f14209,definition,
( spl0_299
<=> ! [X0: $i,X3: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X3 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_299])],[avatar_definition]) ).
thf(f14210,plain,
( ! [X3: $i,X0: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X3 @ z ) ) )
| ~ spl0_299 ),
inference(avatar_component_clause,[],[f14209]) ).
thf(f14211,plain,
( spl0_299
| spl0_22
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f14199,f399,f249,f14209]) ).
thf(f14259,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_22
| ~ spl0_35 ),
inference(constrained_superposition,[],[f250,f700]) ).
thf(f14262,plain,
( ! [X0: $i,X1: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ~ spl0_22
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f14259]) ).
thf(f14265,plain,
( ( $true != $true )
| ~ spl0_22
| ~ spl0_35
| ~ spl0_191 ),
inference(constrained_superposition,[],[f14262,f9137]) ).
thf(f14267,plain,
( ( $true != $true )
| ~ spl0_22
| ~ spl0_25
| ~ spl0_35 ),
inference(constrained_superposition,[],[f14262,f400]) ).
thf(f14271,plain,
( $false
| ~ spl0_22
| ~ spl0_35
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f14265]) ).
thf(f14272,plain,
( ~ spl0_22
| ~ spl0_35
| ~ spl0_191 ),
inference(avatar_contradiction_clause,[],[f14271]) ).
thf(f14273,plain,
( $false
| ~ spl0_22
| ~ spl0_25
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f14267]) ).
thf(f14274,plain,
( ~ spl0_22
| ~ spl0_25
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f14273]) ).
thf(f14278,plain,
( $false
| ~ spl0_25
| spl0_125 ),
inference(forward_subsumption_resolution,[],[f8201,f400]) ).
thf(f14279,plain,
( ~ spl0_25
| spl0_125 ),
inference(avatar_contradiction_clause,[],[f14278]) ).
thf(f14358,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f129,f9004]) ).
thf(f14430,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f14358,f32]) ).
thf(f14436,plain,
( $false
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f14430,f26]) ).
thf(f14437,plain,
~ spl0_183,
inference(avatar_contradiction_clause,[],[f14436]) ).
thf(f14497,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_169 ),
inference(constrained_superposition,[],[f43,f8204]) ).
thf(f14502,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f14497]) ).
thf(f14543,plain,
( ( $true != $true )
| ~ spl0_23
| ~ spl0_34 ),
inference(constrained_superposition,[],[f304,f1711]) ).
thf(f14549,plain,
( $false
| ~ spl0_23
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f14543]) ).
thf(f14550,plain,
( ~ spl0_23
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f14549]) ).
thf(f14554,plain,
( ( $true != $true )
| ~ spl0_51
| spl0_125 ),
inference(constrained_superposition,[],[f8201,f1659]) ).
thf(f14558,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f29,f1659]) ).
thf(f14565,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ z ) ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f14558]) ).
thf(f14571,plain,
( $false
| ~ spl0_51
| spl0_125 ),
inference(trivial_inequality_removal,[],[f14554]) ).
thf(f14572,plain,
( ~ spl0_51
| spl0_125 ),
inference(avatar_contradiction_clause,[],[f14571]) ).
thf(f14575,plain,
( spl0_22
| spl0_26
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f14565,f1658,f413,f249]) ).
thf(f14604,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f925,f8062]) ).
thf(f14615,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f14604]) ).
thf(f14688,definition,
( spl0_303
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).
thf(f14689,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f14688]) ).
thf(f14747,definition,
( spl0_305
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
thf(f14748,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f14747]) ).
thf(f14752,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_42
| spl0_175 ),
inference(constrained_superposition,[],[f8969,f11623]) ).
thf(f14754,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_42
| spl0_175 ),
inference(trivial_inequality_removal,[],[f14752]) ).
thf(f14757,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_42
| spl0_175 ),
inference(forward_subsumption_resolution,[],[f14754,f30]) ).
thf(f14759,plain,
( spl0_181
| spl0_183
| ~ spl0_42
| spl0_175 ),
inference(avatar_split_clause,[],[f14757,f8968,f965,f9003,f8994]) ).
thf(f14765,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f31,f8995]) ).
thf(f14767,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f14765]) ).
thf(f14807,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_186
| ~ spl0_212 ),
inference(constrained_superposition,[],[f9063,f10308]) ).
thf(f14808,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_26
| ~ spl0_212 ),
inference(constrained_superposition,[],[f414,f10308]) ).
thf(f14818,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_186
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f14807]) ).
thf(f14823,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_26
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f14808]) ).
thf(f14830,plain,
( $false
| ~ spl0_16
| ~ spl0_186
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f14818,f187]) ).
thf(f14831,plain,
( ~ spl0_16
| ~ spl0_186
| ~ spl0_212 ),
inference(avatar_contradiction_clause,[],[f14830]) ).
thf(f14832,plain,
( $false
| ~ spl0_16
| ~ spl0_26
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f14823,f187]) ).
thf(f14833,plain,
( ~ spl0_16
| ~ spl0_26
| ~ spl0_212 ),
inference(avatar_contradiction_clause,[],[f14832]) ).
thf(f14877,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_44
| ~ spl0_166 ),
inference(constrained_superposition,[],[f974,f8190]) ).
thf(f14898,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_44
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f14877]) ).
thf(f14905,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_44
| ~ spl0_168 ),
inference(constrained_superposition,[],[f974,f8197]) ).
thf(f14907,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_168
| ~ spl0_194 ),
inference(constrained_superposition,[],[f9319,f8197]) ).
thf(f14917,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_44
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f14905]) ).
thf(f14919,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_168
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f14907]) ).
thf(f14937,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_168
| ~ spl0_299 ),
inference(constrained_superposition,[],[f14210,f8197]) ).
thf(f14952,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_168
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f14937]) ).
thf(f14956,plain,
( $false
| ~ spl0_168
| ~ spl0_191
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f14952,f9137]) ).
thf(f14957,plain,
( ~ spl0_168
| ~ spl0_191
| ~ spl0_299 ),
inference(avatar_contradiction_clause,[],[f14956]) ).
thf(f14972,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_181
| ~ spl0_190 ),
inference(constrained_superposition,[],[f14767,f9131]) ).
thf(f14985,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_181
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f14972]) ).
thf(f14986,plain,
( $false
| spl0_5
| ~ spl0_181
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f14985,f237]) ).
thf(f14987,plain,
( spl0_5
| ~ spl0_181
| ~ spl0_190 ),
inference(avatar_contradiction_clause,[],[f14986]) ).
thf(f14988,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_276 ),
inference(constrained_superposition,[],[f13626,f53]) ).
thf(f14990,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_276
| ~ spl0_283 ),
inference(constrained_superposition,[],[f13626,f13701]) ).
thf(f14993,plain,
( ! [X0: $i] :
( ( b @ z @ X0 )
!= $true )
| ~ spl0_276
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f14990]) ).
thf(f14995,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f14988]) ).
thf(f14996,plain,
( spl0_67
| ~ spl0_276
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f14993,f13700,f13625,f1753]) ).
thf(f14997,plain,
( spl0_282
| spl0_23
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f14995,f13625,f303,f13694]) ).
thf(f15082,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_34
| ~ spl0_43 ),
inference(constrained_superposition,[],[f970,f1711]) ).
thf(f15095,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_34
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f15082]) ).
thf(f15106,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_268
| ~ spl0_287 ),
inference(constrained_superposition,[],[f13815,f13363]) ).
thf(f15127,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_268
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f15106]) ).
thf(f15133,plain,
( $false
| ~ spl0_191
| ~ spl0_268
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f15127,f9137]) ).
thf(f15134,plain,
( ~ spl0_191
| ~ spl0_268
| ~ spl0_287 ),
inference(avatar_contradiction_clause,[],[f15133]) ).
thf(f15162,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_287
| ~ spl0_290 ),
inference(constrained_superposition,[],[f13815,f13881]) ).
thf(f15164,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_290 ),
inference(constrained_superposition,[],[f64,f13881]) ).
thf(f15174,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_287
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f15162]) ).
thf(f15180,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f15164]) ).
thf(f15186,plain,
( $false
| ~ spl0_16
| ~ spl0_287
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f15174,f187]) ).
thf(f15187,plain,
( ~ spl0_16
| ~ spl0_287
| ~ spl0_290 ),
inference(avatar_contradiction_clause,[],[f15186]) ).
thf(f15190,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_2
| ~ spl0_30
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f15180,f8062]) ).
thf(f15193,plain,
( spl0_282
| ~ spl0_2
| ~ spl0_30
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f15190,f13880,f621,f63,f13694]) ).
thf(f15198,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_2
| ~ spl0_268 ),
inference(constrained_superposition,[],[f64,f13363]) ).
thf(f15208,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_2
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f15198]) ).
thf(f15222,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_186
| ~ spl0_269 ),
inference(constrained_superposition,[],[f9063,f13367]) ).
thf(f15236,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_186
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f15222]) ).
thf(f15244,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_283 ),
inference(avatar_component_clause,[],[f13700]) ).
thf(f15247,plain,
( ~ spl0_283
| ~ spl0_186
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f15236,f13366,f9062,f13700]) ).
thf(f15252,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_283 ),
inference(constrained_superposition,[],[f15244,f28]) ).
thf(f15253,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_283 ),
inference(trivial_inequality_removal,[],[f15252]) ).
thf(f15274,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_182
| ~ spl0_188 ),
inference(constrained_superposition,[],[f9121,f9000]) ).
thf(f15282,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_182
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f15274]) ).
thf(f15286,plain,
( $false
| ~ spl0_19
| ~ spl0_182
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f15282,f224]) ).
thf(f15287,plain,
( ~ spl0_19
| ~ spl0_182
| ~ spl0_188 ),
inference(avatar_contradiction_clause,[],[f15286]) ).
thf(f15307,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_6
| ~ spl0_275 ),
inference(constrained_superposition,[],[f13623,f93]) ).
thf(f15315,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f15307]) ).
thf(f15320,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_34
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f15315,f1711]) ).
thf(f15321,plain,
( $false
| ~ spl0_6
| ~ spl0_34
| ~ spl0_275
| spl0_283 ),
inference(forward_subsumption_resolution,[],[f15320,f15244]) ).
thf(f15322,plain,
( ~ spl0_6
| ~ spl0_34
| ~ spl0_275
| spl0_283 ),
inference(avatar_contradiction_clause,[],[f15321]) ).
thf(f15326,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_205
| ~ spl0_269 ),
inference(constrained_superposition,[],[f9948,f13367]) ).
thf(f15328,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_205 ),
inference(constrained_superposition,[],[f9948,f93]) ).
thf(f15329,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_182
| ~ spl0_205 ),
inference(constrained_superposition,[],[f9948,f9000]) ).
thf(f15330,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35
| ~ spl0_205 ),
inference(constrained_superposition,[],[f9948,f700]) ).
thf(f15331,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f15330]) ).
thf(f15336,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_182
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f15329]) ).
thf(f15337,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f15328]) ).
thf(f15338,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_205
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f15326]) ).
thf(f15339,plain,
( $false
| ~ spl0_35
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f15331,f700]) ).
thf(f15340,plain,
( ~ spl0_35
| ~ spl0_205 ),
inference(avatar_contradiction_clause,[],[f15339]) ).
thf(f15341,plain,
( $false
| ~ spl0_35
| ~ spl0_182
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f15336,f700]) ).
thf(f15342,plain,
( ~ spl0_35
| ~ spl0_182
| ~ spl0_205 ),
inference(avatar_contradiction_clause,[],[f15341]) ).
thf(f15343,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_182
| ~ spl0_205 ),
inference(constrained_superposition,[],[f15336,f28]) ).
thf(f15344,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_182
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f15343]) ).
thf(f15369,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_205
| ~ spl0_269 ),
inference(constrained_superposition,[],[f15338,f37]) ).
thf(f15371,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_205
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f15369]) ).
thf(f15374,definition,
( spl0_308
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).
thf(f15375,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_308 ),
inference(avatar_component_clause,[],[f15374]) ).
thf(f15376,plain,
( spl0_183
| spl0_308
| ~ spl0_205
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f15371,f13366,f9947,f15374,f9003]) ).
thf(f15382,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_308 ),
inference(constrained_superposition,[],[f905,f15375]) ).
thf(f15383,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_308 ),
inference(constrained_superposition,[],[f143,f15375]) ).
thf(f15385,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_308 ),
inference(constrained_superposition,[],[f43,f15375]) ).
thf(f15389,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f15385]) ).
thf(f15390,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f15382]) ).
thf(f15392,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f15383]) ).
thf(f15395,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_121
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f15389,f5914]) ).
thf(f15396,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_137
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f15390,f6559]) ).
thf(f15399,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_137
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f15392,f6559]) ).
thf(f15401,plain,
( $false
| ~ spl0_121
| spl0_283
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f15395,f15244]) ).
thf(f15402,plain,
( ~ spl0_121
| spl0_283
| ~ spl0_308 ),
inference(avatar_contradiction_clause,[],[f15401]) ).
thf(f15403,plain,
( spl0_290
| ~ spl0_137
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f15396,f15374,f6558,f13880]) ).
thf(f15404,plain,
( spl0_292
| ~ spl0_137
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f15399,f15374,f6558,f13899]) ).
thf(f15845,definition,
( spl0_317
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
thf(f15846,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f15845]) ).
thf(f16045,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f905,f13370]) ).
thf(f16046,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f143,f13370]) ).
thf(f16052,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f16046]) ).
thf(f16057,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f16045]) ).
thf(f16058,plain,
( ~ spl0_175
| spl0_292
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f16052,f13369,f13899,f8968]) ).
thf(f16059,plain,
( ~ spl0_175
| spl0_290
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f16057,f13369,f13880,f8968]) ).
thf(f16062,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_191 ),
inference(avatar_component_clause,[],[f9136]) ).
thf(f16064,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_182
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f15344,f30]) ).
thf(f16068,plain,
( spl0_190
| spl0_189
| spl0_204
| ~ spl0_44
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f14898,f8189,f973,f9942,f9127,f9130]) ).
thf(f16071,definition,
( spl0_327
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).
thf(f16073,plain,
( spl0_191
| ~ spl0_327
| ~ spl0_6
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f15337,f9947,f92,f16071,f9136]) ).
thf(f16074,plain,
( ~ spl0_202
| ~ spl0_168
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f14919,f9318,f8196,f9933]) ).
thf(f16075,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_283 ),
inference(forward_subsumption_resolution,[],[f15253,f30]) ).
thf(f16081,plain,
( $false
| ~ spl0_179
| ~ spl0_182
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f8987,f15336]) ).
thf(f16082,plain,
( ~ spl0_179
| ~ spl0_182
| ~ spl0_205 ),
inference(avatar_contradiction_clause,[],[f16081]) ).
thf(f16083,plain,
( spl0_282
| ~ spl0_202
| ~ spl0_2
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f15208,f13362,f63,f9933,f13694]) ).
thf(f16084,plain,
( spl0_204
| spl0_190
| spl0_143
| ~ spl0_44
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f14917,f8196,f973,f6767,f9130,f9942]) ).
thf(f16089,plain,
( spl0_121
| ~ spl0_182
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f16064,f9947,f8999,f5913]) ).
thf(f16091,plain,
( spl0_273
| spl0_283 ),
inference(avatar_split_clause,[],[f16075,f13700,f13415]) ).
thf(f16099,plain,
( ~ spl0_4
| spl0_18
| ~ spl0_34
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f15095,f969,f695,f211,f80]) ).
thf(f16101,plain,
( spl0_125
| ~ spl0_8
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f14502,f8203,f148,f5930]) ).
thf(f16108,plain,
( spl0_8
| spl0_23
| spl0_14
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f14615,f621,f179,f303,f148]) ).
thf(f16145,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f75,f10302]) ).
thf(f16152,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f16145]) ).
thf(f16204,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f925,f9295]) ).
thf(f16215,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f16204]) ).
thf(f16221,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_121
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f16215,f10221]) ).
thf(f16223,plain,
( spl0_23
| spl0_122
| spl0_121
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f16221,f9294,f5913,f5916,f303]) ).
thf(f16258,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_63
| ~ spl0_162 ),
inference(constrained_superposition,[],[f1718,f12633]) ).
thf(f16269,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_63
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f16258]) ).
thf(f16274,plain,
( spl0_176
| ~ spl0_63
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f16269,f8157,f1717,f8972]) ).
thf(f16307,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f31,f10239]) ).
thf(f16308,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f16307]) ).
thf(f16310,plain,
( spl0_317
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f16308,f8979,f15845]) ).
thf(f16315,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_29
| ~ spl0_193 ),
inference(constrained_superposition,[],[f502,f9295]) ).
thf(f16317,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_29
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f16315]) ).
thf(f16321,plain,
( $false
| ~ spl0_29
| ~ spl0_125
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f16317,f5931]) ).
thf(f16322,plain,
( ~ spl0_29
| ~ spl0_125
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[],[f16321]) ).
thf(f16379,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_44
| ~ spl0_212 ),
inference(constrained_superposition,[],[f974,f10308]) ).
thf(f16397,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_44
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f16379]) ).
thf(f16406,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_2
| ~ spl0_203 ),
inference(constrained_superposition,[],[f64,f10325]) ).
thf(f16407,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_203 ),
inference(constrained_superposition,[],[f103,f10325]) ).
thf(f16416,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f16407]) ).
thf(f16418,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_2
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f16406]) ).
thf(f16426,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_3
| spl0_19
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f16416,f14178]) ).
thf(f16428,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_2
| spl0_13
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f16418,f397]) ).
thf(f16430,plain,
( ~ spl0_202
| spl0_15
| ~ spl0_3
| spl0_19
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f16426,f9937,f223,f77,f182,f9933]) ).
thf(f16431,plain,
( ~ spl0_202
| ~ spl0_2
| spl0_13
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f16428,f9937,f175,f63,f9933]) ).
thf(f16469,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f143,f8187]) ).
thf(f16470,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f75,f8187]) ).
thf(f16475,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f16470]) ).
thf(f16479,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f16469]) ).
thf(f16481,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_327 ),
inference(avatar_component_clause,[],[f16071]) ).
thf(f16483,definition,
( spl0_329
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
thf(f16484,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_329 ),
inference(avatar_component_clause,[],[f16483]) ).
thf(f16485,plain,
( spl0_327
| ~ spl0_329
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f16475,f8186,f16483,f16071]) ).
thf(f16489,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f143,f8194]) ).
thf(f16495,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f16489]) ).
thf(f16502,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_290
| ~ spl0_305 ),
inference(constrained_superposition,[],[f14748,f13881]) ).
thf(f16518,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_290
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f16502]) ).
thf(f16525,plain,
( $false
| ~ spl0_30
| ~ spl0_290
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f16518,f8062]) ).
thf(f16526,plain,
( ~ spl0_30
| ~ spl0_290
| ~ spl0_305 ),
inference(avatar_contradiction_clause,[],[f16525]) ).
thf(f16530,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_17
| ~ spl0_292 ),
inference(constrained_superposition,[],[f201,f13900]) ).
thf(f16548,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_17
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f16530]) ).
thf(f16558,definition,
( spl0_331
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).
thf(f16559,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_331 ),
inference(avatar_component_clause,[],[f16558]) ).
thf(f16562,plain,
( ~ spl0_331
| ~ spl0_17
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f16548,f13899,f200,f16558]) ).
thf(f16563,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_331 ),
inference(constrained_superposition,[],[f16559,f53]) ).
thf(f16566,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_331 ),
inference(trivial_inequality_removal,[],[f16563]) ).
thf(f16570,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_178
| ~ spl0_266 ),
inference(constrained_superposition,[],[f12535,f10239]) ).
thf(f16573,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_178
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f16570]) ).
thf(f16576,plain,
( spl0_181
| ~ spl0_178
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f16573,f12534,f8979,f8994]) ).
thf(f16577,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f9292,f35]) ).
thf(f16580,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f9292,f129]) ).
thf(f16584,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f16577]) ).
thf(f16588,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f16580]) ).
thf(f16593,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_190
| ~ spl0_317 ),
inference(constrained_superposition,[],[f15846,f9131]) ).
thf(f16601,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_190
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f16593]) ).
thf(f16604,plain,
( $false
| spl0_5
| ~ spl0_190
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f16601,f237]) ).
thf(f16605,plain,
( spl0_5
| ~ spl0_190
| ~ spl0_317 ),
inference(avatar_contradiction_clause,[],[f16604]) ).
thf(f16637,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_278
| ~ spl0_299 ),
inference(constrained_superposition,[],[f14210,f13641]) ).
thf(f16657,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_278
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f16637]) ).
thf(f16661,plain,
( $false
| ~ spl0_125
| ~ spl0_278
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f16657,f5931]) ).
thf(f16662,plain,
( ~ spl0_125
| ~ spl0_278
| ~ spl0_299 ),
inference(avatar_contradiction_clause,[],[f16661]) ).
thf(f16665,plain,
( $false
| ~ spl0_25
| spl0_283 ),
inference(forward_subsumption_resolution,[],[f15244,f400]) ).
thf(f16666,plain,
( ~ spl0_25
| spl0_283 ),
inference(avatar_contradiction_clause,[],[f16665]) ).
thf(f16667,plain,
( spl0_282
| spl0_331 ),
inference(avatar_split_clause,[],[f16566,f16558,f13694]) ).
thf(f16669,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_13
| ~ spl0_44
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f16397,f397]) ).
thf(f16670,plain,
( $false
| ~ spl0_25
| spl0_191 ),
inference(forward_subsumption_resolution,[],[f16062,f400]) ).
thf(f16671,plain,
( ~ spl0_25
| spl0_191 ),
inference(avatar_contradiction_clause,[],[f16670]) ).
thf(f16674,plain,
( spl0_203
| ~ spl0_137
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f16495,f8193,f6558,f9937]) ).
thf(f16675,plain,
( spl0_174
| ~ spl0_175
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f16479,f8186,f8968,f8965]) ).
thf(f16677,plain,
( spl0_189
| spl0_190
| spl0_13
| ~ spl0_44
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f16669,f10307,f973,f175,f9130,f9127]) ).
thf(f16679,plain,
( spl0_34
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f16152,f211,f95,f695]) ).
thf(f16680,plain,
( ~ spl0_7
| spl0_125
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f16584,f9291,f5930,f95]) ).
thf(f16683,plain,
( spl0_174
| ~ spl0_10
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f16588,f9291,f155,f8965]) ).
thf(f16688,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f29,f81]) ).
thf(f16693,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f16688]) ).
thf(f16702,plain,
( spl0_22
| spl0_29
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f16693,f80,f501,f249]) ).
thf(f16711,plain,
( ( $true != $true )
| ~ spl0_4
| ~ spl0_23 ),
inference(constrained_superposition,[],[f304,f81]) ).
thf(f16716,plain,
( $false
| ~ spl0_4
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f16711]) ).
thf(f16717,plain,
( ~ spl0_4
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f16716]) ).
thf(f16757,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f29,f1711]) ).
thf(f16758,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f41,f1711]) ).
thf(f16764,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f16758]) ).
thf(f16769,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f16757]) ).
thf(f16770,plain,
( spl0_15
| spl0_69
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f16764,f695,f1811,f182]) ).
thf(f16771,plain,
( spl0_15
| spl0_17
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f16769,f695,f200,f182]) ).
thf(f16796,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_22
| ~ spl0_35 ),
inference(constrained_superposition,[],[f250,f700]) ).
thf(f16799,plain,
( ! [X0: $i,X1: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ~ spl0_22
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f16796]) ).
thf(f16818,plain,
( ( $true != $true )
| ~ spl0_22
| ~ spl0_35
| ~ spl0_125 ),
inference(constrained_superposition,[],[f16799,f5931]) ).
thf(f16823,plain,
( $false
| ~ spl0_22
| ~ spl0_35
| ~ spl0_125 ),
inference(trivial_inequality_removal,[],[f16818]) ).
thf(f16824,plain,
( ~ spl0_22
| ~ spl0_35
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f16823]) ).
thf(f16844,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_5
| ~ spl0_22 ),
inference(constrained_superposition,[],[f250,f85]) ).
thf(f16846,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f29,f85]) ).
thf(f16851,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ X0 )
!= $true )
| ~ spl0_5
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f16844]) ).
thf(f16859,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f16846]) ).
thf(f16860,plain,
( spl0_23
| ~ spl0_5
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f16851,f249,f84,f303]) ).
thf(f16862,plain,
( spl0_29
| spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f16859,f84,f60,f501]) ).
thf(f16870,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f905,f5893]) ).
thf(f16879,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f16870]) ).
thf(f16884,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f16879,f10302]) ).
thf(f16885,plain,
( spl0_176
| ~ spl0_18
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f16884,f5892,f211,f8972]) ).
thf(f16888,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f905,f8995]) ).
thf(f16889,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f143,f8995]) ).
thf(f16897,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f16889]) ).
thf(f16899,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f16888]) ).
thf(f16901,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f16897,f10302]) ).
thf(f16902,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f16899,f10302]) ).
thf(f16903,plain,
( spl0_203
| ~ spl0_18
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f16901,f8994,f211,f9937]) ).
thf(f16904,plain,
( spl0_212
| ~ spl0_18
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f16902,f8994,f211,f10307]) ).
thf(f16906,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f905,f9943]) ).
thf(f16907,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_204 ),
inference(constrained_superposition,[],[f143,f9943]) ).
thf(f16914,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f16906]) ).
thf(f16917,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f16907]) ).
thf(f16935,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_1
| ~ spl0_34 ),
inference(constrained_superposition,[],[f61,f1711]) ).
thf(f16937,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(constrained_superposition,[],[f61,f81]) ).
thf(f16939,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_1
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f16935]) ).
thf(f16942,plain,
( ! [X0: $i] :
( ( b @ z @ X0 )
!= $true )
| ~ spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f16937]) ).
thf(f16944,plain,
( spl0_39
| ~ spl0_1
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f16939,f695,f60,f830]) ).
thf(f16946,plain,
( spl0_67
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f16942,f80,f60,f1753]) ).
thf(f16962,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_273 ),
inference(constrained_superposition,[],[f905,f13416]) ).
thf(f16963,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_273 ),
inference(constrained_superposition,[],[f143,f13416]) ).
thf(f16971,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_273 ),
inference(trivial_inequality_removal,[],[f16963]) ).
thf(f16972,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_273 ),
inference(trivial_inequality_removal,[],[f16962]) ).
thf(f16974,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_273 ),
inference(forward_subsumption_resolution,[],[f16971,f10302]) ).
thf(f16975,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_273 ),
inference(forward_subsumption_resolution,[],[f16972,f10302]) ).
thf(f16976,plain,
( spl0_292
| ~ spl0_18
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f16974,f13415,f211,f13899]) ).
thf(f16977,plain,
( spl0_290
| ~ spl0_18
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f16975,f13415,f211,f13880]) ).
thf(f16979,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f831,f53]) ).
thf(f16983,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f16979]) ).
thf(f16987,plain,
( $false
| spl0_13
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f16983,f397]) ).
thf(f16988,plain,
( spl0_13
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f16987]) ).
thf(f16989,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_178 ),
inference(constrained_superposition,[],[f78,f10239]) ).
thf(f16991,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f16989]) ).
thf(f17029,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_202 ),
inference(constrained_superposition,[],[f9934,f28]) ).
thf(f17032,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_202 ),
inference(trivial_inequality_removal,[],[f17029]) ).
thf(f17034,plain,
( spl0_190
| spl0_189
| spl0_202 ),
inference(avatar_split_clause,[],[f17032,f9933,f9127,f9130]) ).
thf(f17060,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f905,f9131]) ).
thf(f17061,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f143,f9131]) ).
thf(f17065,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f31,f9131]) ).
thf(f17066,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f17061]) ).
thf(f17067,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f17065]) ).
thf(f17071,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f17060]) ).
thf(f17111,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_178 ),
inference(constrained_superposition,[],[f29,f16991]) ).
thf(f17118,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f17111]) ).
thf(f17125,plain,
( spl0_303
| spl0_184
| ~ spl0_3
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f17118,f8979,f77,f9055,f14688]) ).
thf(f17165,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f43,f9699]) ).
thf(f17170,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f17165]) ).
thf(f17174,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_200 ),
inference(forward_subsumption_resolution,[],[f17170,f13885]) ).
thf(f17175,plain,
( $false
| ~ spl0_8
| spl0_191
| ~ spl0_200 ),
inference(forward_subsumption_resolution,[],[f17174,f16062]) ).
thf(f17176,plain,
( ~ spl0_8
| spl0_191
| ~ spl0_200 ),
inference(avatar_contradiction_clause,[],[f17175]) ).
thf(f17239,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f75,f8194]) ).
thf(f17248,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f17239]) ).
thf(f17259,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_317 ),
inference(constrained_superposition,[],[f15846,f129]) ).
thf(f17268,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f17259]) ).
thf(f17270,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_184
| ~ spl0_203 ),
inference(constrained_superposition,[],[f9056,f10325]) ).
thf(f17276,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_184
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f17270]) ).
thf(f17277,plain,
( spl0_39
| ~ spl0_184
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f17276,f9937,f9055,f830]) ).
thf(f17279,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_162
| ~ spl0_167 ),
inference(forward_subsumption_resolution,[],[f17248,f12633]) ).
thf(f17324,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_162
| ~ spl0_167
| ~ spl0_186 ),
inference(constrained_superposition,[],[f9063,f17279]) ).
thf(f17327,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_162
| ~ spl0_167
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f17324]) ).
thf(f17333,plain,
( $false
| ~ spl0_4
| ~ spl0_162
| ~ spl0_167
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f17327,f81]) ).
thf(f17334,plain,
( ~ spl0_4
| ~ spl0_162
| ~ spl0_167
| ~ spl0_186 ),
inference(avatar_contradiction_clause,[],[f17333]) ).
thf(f17379,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_229
| ~ spl0_283 ),
inference(constrained_superposition,[],[f10395,f13701]) ).
thf(f17382,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_229
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f17379]) ).
thf(f17384,plain,
( spl0_282
| ~ spl0_229
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f17382,f13700,f10394,f13694]) ).
thf(f17399,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_282 ),
inference(constrained_superposition,[],[f905,f13695]) ).
thf(f17400,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_282 ),
inference(constrained_superposition,[],[f143,f13695]) ).
thf(f17407,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f17399]) ).
thf(f17408,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f17400]) ).
thf(f17472,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_212
| ~ spl0_303 ),
inference(constrained_superposition,[],[f14689,f10308]) ).
thf(f17476,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_212
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f17472]) ).
thf(f17479,plain,
( $false
| ~ spl0_30
| ~ spl0_212
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f17476,f8062]) ).
thf(f17480,plain,
( ~ spl0_30
| ~ spl0_212
| ~ spl0_303 ),
inference(avatar_contradiction_clause,[],[f17479]) ).
thf(f17482,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_168
| ~ spl0_241 ),
inference(constrained_superposition,[],[f10655,f8197]) ).
thf(f17493,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_168
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f17482]) ).
thf(f17501,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f17268,f13885]) ).
thf(f17504,plain,
( ~ spl0_203
| ~ spl0_168
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f17493,f10654,f8196,f9937]) ).
thf(f17506,plain,
( spl0_203
| ~ spl0_8
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f17501,f15845,f148,f9937]) ).
thf(f17594,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_276
| ~ spl0_292 ),
inference(constrained_superposition,[],[f13626,f13900]) ).
thf(f17597,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_276
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f17594]) ).
thf(f17601,plain,
( spl0_39
| ~ spl0_276
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f17597,f13899,f13625,f830]) ).
thf(f17606,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f17067,f129]) ).
thf(f17613,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f17606]) ).
thf(f17663,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f75,f13370]) ).
thf(f17673,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f17663]) ).
thf(f17675,definition,
( spl0_337
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_337])],[avatar_definition]) ).
thf(f17676,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_337 ),
inference(avatar_component_clause,[],[f17675]) ).
thf(f17677,plain,
( spl0_337
| ~ spl0_329
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f17673,f13369,f16483,f17675]) ).
thf(f17695,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_329 ),
inference(constrained_superposition,[],[f16484,f54]) ).
thf(f17696,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_329 ),
inference(trivial_inequality_removal,[],[f17695]) ).
thf(f17699,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_43
| spl0_329 ),
inference(constrained_superposition,[],[f970,f17696]) ).
thf(f17700,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_329 ),
inference(constrained_superposition,[],[f29,f17696]) ).
thf(f17709,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_329 ),
inference(trivial_inequality_removal,[],[f17700]) ).
thf(f17711,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_43
| spl0_329 ),
inference(trivial_inequality_removal,[],[f17699]) ).
thf(f17717,plain,
( spl0_303
| spl0_184
| spl0_329 ),
inference(avatar_split_clause,[],[f17709,f16483,f9055,f14688]) ).
thf(f17718,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_43
| spl0_329 ),
inference(forward_subsumption_resolution,[],[f17711,f81]) ).
thf(f17719,plain,
( spl0_181
| ~ spl0_4
| ~ spl0_43
| spl0_329 ),
inference(avatar_split_clause,[],[f17718,f16483,f969,f80,f8994]) ).
thf(f17721,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_241
| ~ spl0_327 ),
inference(constrained_superposition,[],[f10655,f16481]) ).
thf(f17722,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_43
| ~ spl0_327 ),
inference(constrained_superposition,[],[f970,f16481]) ).
thf(f17730,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_43
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f17722]) ).
thf(f17736,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_241
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f17721]) ).
thf(f17739,plain,
( $false
| ~ spl0_34
| ~ spl0_241
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f17736,f1711]) ).
thf(f17740,plain,
( ~ spl0_34
| ~ spl0_241
| ~ spl0_327 ),
inference(avatar_contradiction_clause,[],[f17739]) ).
thf(f17742,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_43
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f17730,f81]) ).
thf(f17743,plain,
( spl0_117
| ~ spl0_4
| ~ spl0_43
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f17742,f16071,f969,f80,f5892]) ).
thf(f17747,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_125 ),
inference(constrained_superposition,[],[f29,f5931]) ).
thf(f17759,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_125 ),
inference(trivial_inequality_removal,[],[f17747]) ).
thf(f17763,plain,
( spl0_22
| spl0_122
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f17759,f5930,f5916,f249]) ).
thf(f17765,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ z ) ) )
| ~ spl0_179 ),
inference(constrained_superposition,[],[f29,f8987]) ).
thf(f17766,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_179 ),
inference(constrained_superposition,[],[f41,f8987]) ).
thf(f17772,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f17766]) ).
thf(f17775,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f17765]) ).
thf(f17777,plain,
( spl0_196
| spl0_195
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f17772,f8986,f9419,f9422]) ).
thf(f17778,plain,
( spl0_122
| spl0_195
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f17775,f8986,f9419,f5916]) ).
thf(f17906,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_179
| ~ spl0_194 ),
inference(constrained_superposition,[],[f9319,f8987]) ).
thf(f17910,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_179
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f17906]) ).
thf(f17913,plain,
( $false
| ~ spl0_5
| ~ spl0_179
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f17910,f85]) ).
thf(f17914,plain,
( ~ spl0_5
| ~ spl0_179
| ~ spl0_194 ),
inference(avatar_contradiction_clause,[],[f17913]) ).
thf(f17933,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_308 ),
inference(constrained_superposition,[],[f75,f15375]) ).
thf(f17937,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f17933]) ).
thf(f17944,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_162
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f17937,f12633]) ).
thf(f17945,plain,
( spl0_337
| ~ spl0_162
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f17944,f15374,f8157,f17675]) ).
thf(f17946,plain,
( ( $true != $true )
| ~ spl0_5
| ~ spl0_67 ),
inference(constrained_superposition,[],[f1754,f85]) ).
thf(f17948,plain,
( ( $true != $true )
| ~ spl0_67
| ~ spl0_179 ),
inference(constrained_superposition,[],[f1754,f8987]) ).
thf(f17950,plain,
( $false
| ~ spl0_5
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f17946]) ).
thf(f17951,plain,
( ~ spl0_5
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f17950]) ).
thf(f17953,plain,
( $false
| ~ spl0_67
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f17948]) ).
thf(f17954,plain,
( ~ spl0_67
| ~ spl0_179 ),
inference(avatar_contradiction_clause,[],[f17953]) ).
thf(f17977,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_43
| ~ spl0_337 ),
inference(constrained_superposition,[],[f970,f17676]) ).
thf(f17983,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_43
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f17977]) ).
thf(f17991,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_43
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f17983,f81]) ).
thf(f17994,plain,
( spl0_273
| ~ spl0_4
| ~ spl0_43
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f17991,f17675,f969,f80,f13415]) ).
thf(f17996,plain,
( ~ spl0_13
| spl0_174
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f16917,f9942,f8965,f175]) ).
thf(f17997,plain,
( spl0_292
| ~ spl0_13
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f17408,f13694,f175,f13899]) ).
thf(f17998,plain,
( ~ spl0_13
| spl0_290
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f17407,f13694,f13880,f175]) ).
thf(f17999,plain,
( spl0_176
| ~ spl0_13
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f16914,f9942,f175,f8972]) ).
thf(f18028,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_162 ),
inference(constrained_superposition,[],[f8158,f54]) ).
thf(f18029,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_162 ),
inference(trivial_inequality_removal,[],[f18028]) ).
thf(f18030,plain,
( spl0_327
| spl0_162 ),
inference(avatar_split_clause,[],[f18029,f8157,f16071]) ).
thf(f18049,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_122
| ~ spl0_327 ),
inference(constrained_superposition,[],[f5917,f16481]) ).
thf(f18051,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_327 ),
inference(constrained_superposition,[],[f29,f16481]) ).
thf(f18056,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f18051]) ).
thf(f18064,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_122
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f18049]) ).
thf(f18065,plain,
( spl0_195
| spl0_194
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f18056,f16071,f9318,f9419]) ).
thf(f18067,plain,
( $false
| ~ spl0_4
| ~ spl0_122
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f18064,f81]) ).
thf(f18068,plain,
( ~ spl0_4
| ~ spl0_122
| ~ spl0_327 ),
inference(avatar_contradiction_clause,[],[f18067]) ).
thf(f18079,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_273 ),
inference(constrained_superposition,[],[f31,f13416]) ).
thf(f18083,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_273 ),
inference(trivial_inequality_removal,[],[f18079]) ).
thf(f18088,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f925,f8966]) ).
thf(f18099,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f18088]) ).
thf(f18106,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f925,f8973]) ).
thf(f18108,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f29,f8973]) ).
thf(f18117,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f18106]) ).
thf(f18118,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f18108]) ).
thf(f18121,plain,
( spl0_241
| spl0_195
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f18118,f8972,f9419,f10654]) ).
thf(f18130,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_30 ),
inference(constrained_superposition,[],[f183,f8062]) ).
thf(f18133,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_15
| ~ spl0_176 ),
inference(constrained_superposition,[],[f183,f8973]) ).
thf(f18137,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ X0 )
!= $true )
| ~ spl0_15
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f18130]) ).
thf(f18138,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_15
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f18133]) ).
thf(f18143,plain,
( spl0_23
| ~ spl0_15
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f18137,f621,f182,f303]) ).
thf(f18144,plain,
( spl0_207
| ~ spl0_15
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f18138,f8972,f182,f9955]) ).
thf(f18145,plain,
( ~ spl0_13
| spl0_203
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f17066,f9130,f9937,f175]) ).
thf(f18146,plain,
( spl0_203
| ~ spl0_10
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f17613,f9130,f155,f9937]) ).
thf(f18147,plain,
( ~ spl0_13
| spl0_212
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f17071,f9130,f10307,f175]) ).
thf(f18176,plain,
( ( $true != $true )
| ~ spl0_174
| ~ spl0_207 ),
inference(constrained_superposition,[],[f9956,f8966]) ).
thf(f18181,plain,
( $false
| ~ spl0_174
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f18176]) ).
thf(f18182,plain,
( ~ spl0_174
| ~ spl0_207 ),
inference(avatar_contradiction_clause,[],[f18181]) ).
thf(f18184,plain,
( spl0_121
| spl0_39
| spl0_122
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f18099,f8965,f5916,f830,f5913]) ).
thf(f18188,plain,
( ( $true != $true )
| ~ spl0_39
| ~ spl0_176 ),
inference(constrained_superposition,[],[f831,f8973]) ).
thf(f18191,plain,
( $false
| ~ spl0_39
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f18188]) ).
thf(f18192,plain,
( ~ spl0_39
| ~ spl0_176 ),
inference(avatar_contradiction_clause,[],[f18191]) ).
thf(f18202,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f29,f9295]) ).
thf(f18207,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f18202]) ).
thf(f18217,plain,
( spl0_194
| spl0_1
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f18207,f9294,f60,f9318]) ).
thf(f18238,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f925,f9137]) ).
thf(f18240,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f29,f9137]) ).
thf(f18245,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f18238]) ).
thf(f18247,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f18240]) ).
thf(f18254,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_178
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f18245,f8980]) ).
thf(f18255,plain,
( spl0_22
| spl0_186
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f18247,f9136,f9062,f249]) ).
thf(f18257,plain,
( spl0_186
| spl0_67
| spl0_178
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f18254,f9136,f8979,f1753,f9062]) ).
thf(f18399,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f925,f10325]) ).
thf(f18401,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f29,f10325]) ).
thf(f18407,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f18399]) ).
thf(f18409,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f18401]) ).
thf(f18414,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_178
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f18407,f8980]) ).
thf(f18415,plain,
( spl0_188
| spl0_15
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f18409,f9937,f182,f9120]) ).
thf(f18416,plain,
( spl0_39
| spl0_186
| spl0_178
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f18414,f9937,f8979,f9062,f830]) ).
thf(f18419,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_290 ),
inference(constrained_superposition,[],[f29,f13881]) ).
thf(f18425,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f18419]) ).
thf(f18431,plain,
( spl0_276
| spl0_275
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f18425,f13880,f13622,f13625]) ).
thf(f18434,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_43
| ~ spl0_292 ),
inference(constrained_superposition,[],[f970,f13900]) ).
thf(f18435,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f29,f13900]) ).
thf(f18442,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f18435]) ).
thf(f18446,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_43
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f18434]) ).
thf(f18448,plain,
( spl0_15
| spl0_275
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f18442,f13899,f13622,f182]) ).
thf(f18461,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_167
| ~ spl0_317 ),
inference(constrained_superposition,[],[f15846,f8194]) ).
thf(f18464,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_167
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f18461]) ).
thf(f18469,plain,
( $false
| ~ spl0_121
| ~ spl0_167
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f18464,f5914]) ).
thf(f18470,plain,
( ~ spl0_121
| ~ spl0_167
| ~ spl0_317 ),
inference(avatar_contradiction_clause,[],[f18469]) ).
thf(f18565,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_188
| ~ spl0_269 ),
inference(constrained_superposition,[],[f9121,f13367]) ).
thf(f18569,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_188
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f18565]) ).
thf(f18573,plain,
( $false
| ~ spl0_188
| ~ spl0_269
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f18569,f13900]) ).
thf(f18574,plain,
( ~ spl0_188
| ~ spl0_269
| ~ spl0_292 ),
inference(avatar_contradiction_clause,[],[f18573]) ).
thf(f18583,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_337 ),
inference(constrained_superposition,[],[f29,f17676]) ).
thf(f18590,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f18583]) ).
thf(f18597,plain,
( spl0_305
| spl0_276
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f18590,f17675,f13625,f14747]) ).
thf(f18598,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_270
| ~ spl0_273 ),
inference(constrained_superposition,[],[f18083,f13370]) ).
thf(f18602,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f43,f13370]) ).
thf(f18605,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f18602]) ).
thf(f18610,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_270
| ~ spl0_273 ),
inference(trivial_inequality_removal,[],[f18598]) ).
thf(f18624,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_268
| ~ spl0_275 ),
inference(constrained_superposition,[],[f13623,f13363]) ).
thf(f18631,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_268
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f18624]) ).
thf(f18632,plain,
( $false
| ~ spl0_203
| ~ spl0_268
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f18631,f10325]) ).
thf(f18633,plain,
( ~ spl0_203
| ~ spl0_268
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[],[f18632]) ).
thf(f18637,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_283 ),
inference(constrained_superposition,[],[f29,f13701]) ).
thf(f18644,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) ) )
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f18637]) ).
thf(f18651,plain,
( spl0_22
| spl0_287
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f18644,f13700,f13814,f249]) ).
thf(f18668,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_275
| ~ spl0_278 ),
inference(constrained_superposition,[],[f13623,f13641]) ).
thf(f18678,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_275
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f18668]) ).
thf(f18686,plain,
( $false
| ~ spl0_174
| ~ spl0_275
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f18678,f8966]) ).
thf(f18687,plain,
( ~ spl0_174
| ~ spl0_275
| ~ spl0_278 ),
inference(avatar_contradiction_clause,[],[f18686]) ).
thf(f18692,plain,
( ~ spl0_178
| ~ spl0_270
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f18610,f13415,f13369,f8979]) ).
thf(f18695,plain,
( spl0_283
| ~ spl0_178
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f18605,f13369,f8979,f13700]) ).
thf(f18696,plain,
( spl0_207
| spl0_8
| spl0_14
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f18117,f8972,f179,f148,f9955]) ).
thf(f18701,plain,
( spl0_18
| ~ spl0_283
| ~ spl0_43
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f18446,f13899,f969,f13700,f211]) ).
thf(f18710,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f925,f187]) ).
thf(f18712,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f29,f187]) ).
thf(f18713,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f41,f187]) ).
thf(f18717,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f18710]) ).
thf(f18721,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f18713]) ).
thf(f18723,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ z ) ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f18712]) ).
thf(f18726,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f18717,f149]) ).
thf(f18727,plain,
( spl0_42
| spl0_22
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f18721,f186,f249,f965]) ).
thf(f18728,plain,
( spl0_14
| spl0_22
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f18723,f186,f249,f179]) ).
thf(f18729,plain,
( spl0_67
| spl0_14
| spl0_8
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f18726,f186,f148,f179,f1753]) ).
thf(f18732,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f41,f224]) ).
thf(f18740,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f18732]) ).
thf(f18743,plain,
( spl0_15
| spl0_41
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f18740,f223,f961,f182]) ).
thf(f18764,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_182 ),
inference(constrained_superposition,[],[f29,f9000]) ).
thf(f18772,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f18764]) ).
thf(f18777,plain,
( spl0_186
| spl0_184
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f18772,f8999,f9055,f9062]) ).
thf(f18801,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_109
| ~ spl0_137 ),
inference(constrained_superposition,[],[f5856,f6559]) ).
thf(f18807,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_109
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f18801]) ).
thf(f18812,plain,
( $false
| ~ spl0_109
| ~ spl0_121
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f18807,f5914]) ).
thf(f18813,plain,
( ~ spl0_109
| ~ spl0_121
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f18812]) ).
thf(f18826,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_203 ),
inference(constrained_superposition,[],[f9938,f37]) ).
thf(f18827,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_203 ),
inference(constrained_superposition,[],[f9938,f28]) ).
thf(f18828,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_203 ),
inference(trivial_inequality_removal,[],[f18827]) ).
thf(f18829,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_203 ),
inference(trivial_inequality_removal,[],[f18826]) ).
thf(f18830,plain,
( spl0_200
| spl0_183
| spl0_203 ),
inference(avatar_split_clause,[],[f18828,f9937,f9003,f9698]) ).
thf(f18831,plain,
( spl0_143
| spl0_200
| spl0_203 ),
inference(avatar_split_clause,[],[f18829,f9937,f9698,f6767]) ).
thf(f18834,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f75,f9699]) ).
thf(f18842,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f18834]) ).
thf(f18844,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_10
| ~ spl0_200 ),
inference(forward_subsumption_resolution,[],[f18842,f338]) ).
thf(f18883,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_174
| ~ spl0_195 ),
inference(constrained_superposition,[],[f9420,f8966]) ).
thf(f18887,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_174
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f18883]) ).
thf(f18890,plain,
( spl0_39
| ~ spl0_174
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f18887,f9419,f8965,f830]) ).
thf(f18911,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f29,f8190]) ).
thf(f18916,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f18911]) ).
thf(f18923,plain,
( spl0_184
| spl0_205
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f18916,f8189,f9947,f9055]) ).
thf(f18928,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f29,f8197]) ).
thf(f18935,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f18928]) ).
thf(f18942,plain,
( spl0_195
| spl0_205
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f18935,f8196,f9947,f9419]) ).
thf(f18962,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_10
| ~ spl0_186
| ~ spl0_200 ),
inference(constrained_superposition,[],[f9063,f18844]) ).
thf(f18967,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_10
| ~ spl0_186
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f18962]) ).
thf(f18969,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_186
| ~ spl0_200 ),
inference(forward_subsumption_resolution,[],[f18967,f81]) ).
thf(f18970,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_186
| ~ spl0_200 ),
inference(avatar_contradiction_clause,[],[f18969]) ).
thf(f18974,plain,
( ( $true != $true )
| ~ spl0_16
| ~ spl0_39 ),
inference(constrained_superposition,[],[f831,f187]) ).
thf(f18981,plain,
( $false
| ~ spl0_16
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f18974]) ).
thf(f18982,plain,
( ~ spl0_16
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f18981]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f65]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f82]) ).
cnf(s3,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f86]) ).
cnf(s4,plain,
( spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f97]) ).
cnf(s5,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f100]) ).
cnf(s6,plain,
( ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f153]) ).
cnf(s7,plain,
( ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f160]) ).
cnf(s8,plain,
( ~ spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f164]) ).
cnf(s9,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f177]) ).
cnf(s13,plain,
( spl0_9
| ~ spl0_18 ),
inference(sat_conversion,[],[f213]) ).
cnf(s14,plain,
( ~ spl0_3
| ~ spl0_9
| spl0_15
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f228]) ).
cnf(s16,plain,
( ~ spl0_9
| spl0_15
| spl0_21 ),
inference(sat_conversion,[],[f233]) ).
cnf(s18,plain,
( spl0_8
| spl0_19 ),
inference(sat_conversion,[],[f242]) ).
cnf(s19,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f245]) ).
cnf(s21,plain,
( spl0_5
| ~ spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f261]) ).
cnf(s22,plain,
( spl0_13
| ~ spl0_15
| spl0_23 ),
inference(sat_conversion,[],[f305]) ).
cnf(s25,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_13
| spl0_25 ),
inference(sat_conversion,[],[f401]) ).
cnf(s29,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14 ),
inference(sat_conversion,[],[f486]) ).
cnf(s34,plain,
( spl0_13
| ~ spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f517]) ).
cnf(s35,plain,
( ~ spl0_16
| ~ spl0_19
| ~ spl0_22 ),
inference(sat_conversion,[],[f528]) ).
cnf(s36,plain,
( spl0_13
| ~ spl0_19
| ~ spl0_22 ),
inference(sat_conversion,[],[f533]) ).
cnf(s40,plain,
( spl0_13
| spl0_24
| spl0_30 ),
inference(sat_conversion,[],[f639]) ).
cnf(s41,plain,
( ~ spl0_12
| spl0_15
| spl0_32 ),
inference(sat_conversion,[],[f663]) ).
cnf(s43,plain,
( ~ spl0_3
| ~ spl0_32
| ~ spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f701]) ).
cnf(s46,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_13
| spl0_36 ),
inference(sat_conversion,[],[f741]) ).
cnf(s48,plain,
( spl0_5
| spl0_35
| ~ spl0_36 ),
inference(sat_conversion,[],[f755]) ).
cnf(s53,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_14
| spl0_40 ),
inference(sat_conversion,[],[f838]) ).
cnf(s56,plain,
( spl0_22
| spl0_43 ),
inference(sat_conversion,[],[f971]) ).
cnf(s57,plain,
( spl0_1
| spl0_44 ),
inference(sat_conversion,[],[f975]) ).
cnf(s78,plain,
( spl0_10
| spl0_34 ),
inference(sat_conversion,[],[f1710]) ).
cnf(s80,plain,
( spl0_34
| spl0_63 ),
inference(sat_conversion,[],[f1719]) ).
cnf(s213,plain,
( ~ spl0_16
| spl0_119
| ~ spl0_122
| spl0_137 ),
inference(sat_conversion,[],[f6560]) ).
cnf(s315,plain,
( spl0_34
| ~ spl0_137
| ~ spl0_162 ),
inference(sat_conversion,[],[f8159]) ).
cnf(s323,plain,
( spl0_18
| spl0_24
| ~ spl0_43
| ~ spl0_125
| spl0_169 ),
inference(sat_conversion,[],[f8205]) ).
cnf(s389,plain,
~ spl0_143,
inference(sat_conversion,[],[f8609]) ).
cnf(s429,plain,
( ~ spl0_10
| spl0_158 ),
inference(sat_conversion,[],[f8826]) ).
cnf(s435,plain,
( spl0_63
| ~ spl0_158 ),
inference(sat_conversion,[],[f8922]) ).
cnf(s441,plain,
( spl0_125
| ~ spl0_165
| ~ spl0_178 ),
inference(sat_conversion,[],[f8984]) ).
cnf(s447,plain,
( spl0_178
| spl0_182 ),
inference(sat_conversion,[],[f9008]) ).
cnf(s452,plain,
( spl0_175
| spl0_184
| spl0_188 ),
inference(sat_conversion,[],[f9122]) ).
cnf(s453,plain,
( spl0_13
| ~ spl0_44
| spl0_175
| spl0_189
| spl0_190 ),
inference(sat_conversion,[],[f9132]) ).
cnf(s486,plain,
~ spl0_24,
inference(sat_conversion,[],[f9350]) ).
cnf(s492,plain,
( spl0_117
| spl0_125 ),
inference(sat_conversion,[],[f9374]) ).
cnf(s494,plain,
( spl0_5
| ~ spl0_14
| ~ spl0_42
| ~ spl0_43
| spl0_143
| ~ spl0_190
| spl0_197 ),
inference(sat_conversion,[],[f9471]) ).
cnf(s495,plain,
( spl0_5
| ~ spl0_190
| spl0_191 ),
inference(sat_conversion,[],[f9472]) ).
cnf(s513,plain,
~ spl0_119,
inference(sat_conversion,[],[f9636]) ).
cnf(s529,plain,
( ~ spl0_14
| spl0_143
| ~ spl0_191
| spl0_200 ),
inference(sat_conversion,[],[f9700]) ).
cnf(s531,plain,
( spl0_179
| ~ spl0_182
| ~ spl0_199 ),
inference(sat_conversion,[],[f9800]) ).
cnf(s537,plain,
( ~ spl0_3
| ~ spl0_168
| spl0_179
| spl0_195
| ~ spl0_202 ),
inference(sat_conversion,[],[f9935]) ).
cnf(s540,plain,
( ~ spl0_40
| ~ spl0_168
| spl0_195
| ~ spl0_202 ),
inference(sat_conversion,[],[f9945]) ).
cnf(s545,plain,
( spl0_23
| ~ spl0_195
| spl0_204 ),
inference(sat_conversion,[],[f9975]) ).
cnf(s547,plain,
( spl0_192
| ~ spl0_204 ),
inference(sat_conversion,[],[f10015]) ).
cnf(s548,plain,
( spl0_5
| spl0_179
| ~ spl0_204 ),
inference(sat_conversion,[],[f10022]) ).
cnf(s554,plain,
( spl0_5
| spl0_125
| ~ spl0_204 ),
inference(sat_conversion,[],[f10034]) ).
cnf(s562,plain,
( spl0_67
| ~ spl0_125
| ~ spl0_195 ),
inference(sat_conversion,[],[f10069]) ).
cnf(s565,plain,
( ~ spl0_67
| ~ spl0_182 ),
inference(sat_conversion,[],[f10075]) ).
cnf(s566,plain,
( ~ spl0_19
| ~ spl0_67 ),
inference(sat_conversion,[],[f10077]) ).
cnf(s573,plain,
( ~ spl0_14
| ~ spl0_42
| ~ spl0_43
| ~ spl0_121
| spl0_143
| ~ spl0_167
| spl0_197 ),
inference(sat_conversion,[],[f10222]) ).
cnf(s580,plain,
( ~ spl0_41
| ~ spl0_42
| spl0_117
| spl0_119
| ~ spl0_167
| spl0_178
| spl0_183 ),
inference(sat_conversion,[],[f10245]) ).
cnf(s581,plain,
( ~ spl0_137
| ~ spl0_167
| spl0_184
| spl0_188 ),
inference(sat_conversion,[],[f10287]) ).
cnf(s589,plain,
( spl0_16
| ~ spl0_69
| spl0_132 ),
inference(sat_conversion,[],[f10304]) ).
cnf(s590,plain,
( ~ spl0_137
| ~ spl0_167
| spl0_212 ),
inference(sat_conversion,[],[f10309]) ).
cnf(s598,plain,
( spl0_18
| spl0_24
| ~ spl0_43
| spl0_117
| spl0_137 ),
inference(sat_conversion,[],[f10333]) ).
cnf(s601,plain,
( ~ spl0_6
| spl0_16
| spl0_34 ),
inference(sat_conversion,[],[f10339]) ).
cnf(s616,plain,
( spl0_4
| spl0_16
| ~ spl0_158 ),
inference(sat_conversion,[],[f10387]) ).
cnf(s622,plain,
( ~ spl0_4
| ~ spl0_40
| ~ spl0_122 ),
inference(sat_conversion,[],[f10416]) ).
cnf(s627,plain,
( ~ spl0_7
| spl0_16
| ~ spl0_158 ),
inference(sat_conversion,[],[f10437]) ).
cnf(s628,plain,
( spl0_7
| ~ spl0_43
| spl0_232 ),
inference(sat_conversion,[],[f10443]) ).
cnf(s634,plain,
( spl0_7
| spl0_13
| spl0_18
| ~ spl0_43 ),
inference(sat_conversion,[],[f10468]) ).
cnf(s639,plain,
( spl0_7
| ~ spl0_43
| spl0_117
| spl0_162 ),
inference(sat_conversion,[],[f10488]) ).
cnf(s642,plain,
( spl0_7
| spl0_18
| ~ spl0_19
| ~ spl0_30
| ~ spl0_55 ),
inference(sat_conversion,[],[f10491]) ).
cnf(s658,plain,
( ~ spl0_30
| spl0_55 ),
inference(sat_conversion,[],[f10521]) ).
cnf(s662,plain,
( ~ spl0_18
| spl0_109 ),
inference(sat_conversion,[],[f10558]) ).
cnf(s667,plain,
( ~ spl0_29
| spl0_229 ),
inference(sat_conversion,[],[f10604]) ).
cnf(s668,plain,
( spl0_137
| spl0_176 ),
inference(sat_conversion,[],[f10618]) ).
cnf(s677,plain,
( ~ spl0_30
| ~ spl0_40
| ~ spl0_176
| spl0_195 ),
inference(sat_conversion,[],[f10659]) ).
cnf(s678,plain,
( ~ spl0_13
| spl0_158 ),
inference(sat_conversion,[],[f10677]) ).
cnf(s680,plain,
( spl0_121
| spl0_179 ),
inference(sat_conversion,[],[f10680]) ).
cnf(s682,plain,
( spl0_193
| spl0_204 ),
inference(sat_conversion,[],[f10682]) ).
cnf(s683,plain,
( ~ spl0_16
| ~ spl0_43
| spl0_117
| ~ spl0_176 ),
inference(sat_conversion,[],[f10684]) ).
cnf(s684,plain,
( ~ spl0_2
| ~ spl0_30
| ~ spl0_176
| spl0_204 ),
inference(sat_conversion,[],[f10686]) ).
cnf(s685,plain,
( spl0_143
| spl0_193
| spl0_204 ),
inference(sat_conversion,[],[f10688]) ).
cnf(s690,plain,
( ~ spl0_121
| ~ spl0_167
| spl0_191 ),
inference(sat_conversion,[],[f10695]) ).
cnf(s694,plain,
( ~ spl0_18
| ~ spl0_117
| spl0_174 ),
inference(sat_conversion,[],[f10739]) ).
cnf(s695,plain,
( ~ spl0_121
| spl0_201 ),
inference(sat_conversion,[],[f10744]) ).
cnf(s734,plain,
( ~ spl0_4
| spl0_10
| ~ spl0_14 ),
inference(sat_conversion,[],[f11018]) ).
cnf(s745,plain,
( ~ spl0_109
| spl0_210 ),
inference(sat_conversion,[],[f11164]) ).
cnf(s746,plain,
( spl0_5
| ~ spl0_13
| ~ spl0_109 ),
inference(sat_conversion,[],[f11167]) ).
cnf(s755,plain,
( spl0_18
| ~ spl0_43
| ~ spl0_191
| ~ spl0_203 ),
inference(sat_conversion,[],[f11229]) ).
cnf(s761,plain,
( ~ spl0_7
| ~ spl0_117
| ~ spl0_192 ),
inference(sat_conversion,[],[f11333]) ).
cnf(s767,plain,
( spl0_67
| ~ spl0_184
| ~ spl0_191 ),
inference(sat_conversion,[],[f11392]) ).
cnf(s768,plain,
( spl0_23
| ~ spl0_184
| spl0_190 ),
inference(sat_conversion,[],[f11393]) ).
cnf(s769,plain,
( spl0_190
| ~ spl0_191
| ~ spl0_229 ),
inference(sat_conversion,[],[f11413]) ).
cnf(s770,plain,
( ~ spl0_229
| spl0_237 ),
inference(sat_conversion,[],[f11414]) ).
cnf(s772,plain,
( ~ spl0_165
| ~ spl0_169
| ~ spl0_175 ),
inference(sat_conversion,[],[f11457]) ).
cnf(s774,plain,
( ~ spl0_20
| spl0_125
| ~ spl0_193 ),
inference(sat_conversion,[],[f11508]) ).
cnf(s785,plain,
( ~ spl0_7
| ~ spl0_56
| spl0_60 ),
inference(sat_conversion,[],[f11706]) ).
cnf(s786,plain,
( ~ spl0_56
| ~ spl0_117
| ~ spl0_167
| spl0_183 ),
inference(sat_conversion,[],[f11707]) ).
cnf(s905,plain,
( spl0_5
| ~ spl0_232
| spl0_266 ),
inference(sat_conversion,[],[f12538]) ).
cnf(s909,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_56
| ~ spl0_237 ),
inference(sat_conversion,[],[f12585]) ).
cnf(s910,plain,
( ~ spl0_13
| spl0_181
| ~ spl0_200
| ~ spl0_237 ),
inference(sat_conversion,[],[f12586]) ).
cnf(s913,plain,
( ~ spl0_117
| spl0_119
| ~ spl0_132
| spl0_143
| spl0_162 ),
inference(sat_conversion,[],[f12634]) ).
cnf(s970,plain,
( ~ spl0_19
| spl0_119
| spl0_137
| ~ spl0_196 ),
inference(sat_conversion,[],[f13154]) ).
cnf(s983,plain,
( spl0_119
| spl0_267
| spl0_268 ),
inference(sat_conversion,[],[f13364]) ).
cnf(s984,plain,
( spl0_119
| spl0_269
| spl0_270 ),
inference(sat_conversion,[],[f13371]) ).
cnf(s988,plain,
( spl0_203
| ~ spl0_267
| ~ spl0_272 ),
inference(sat_conversion,[],[f13400]) ).
cnf(s1001,plain,
~ spl0_274,
inference(sat_conversion,[],[f13576]) ).
cnf(s1010,plain,
( spl0_272
| spl0_275
| spl0_276 ),
inference(sat_conversion,[],[f13627]) ).
cnf(s1014,plain,
( spl0_143
| ~ spl0_167
| ~ spl0_267
| spl0_278 ),
inference(sat_conversion,[],[f13642]) ).
cnf(s1019,plain,
( ~ spl0_2
| ~ spl0_193
| ~ spl0_278
| spl0_282 ),
inference(sat_conversion,[],[f13698]) ).
cnf(s1024,plain,
( ~ spl0_21
| ~ spl0_174
| ~ spl0_278
| spl0_283 ),
inference(sat_conversion,[],[f13709]) ).
cnf(s1038,plain,
( spl0_5
| ~ spl0_273
| ~ spl0_282 ),
inference(sat_conversion,[],[f13852]) ).
cnf(s1041,plain,
( spl0_5
| spl0_189
| ~ spl0_197
| spl0_199
| ~ spl0_282 ),
inference(sat_conversion,[],[f13860]) ).
cnf(s1043,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_273
| spl0_274
| ~ spl0_282 ),
inference(sat_conversion,[],[f13864]) ).
cnf(s1044,plain,
( spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f13865]) ).
cnf(s1045,plain,
( spl0_119
| spl0_165
| spl0_166 ),
inference(sat_conversion,[],[f13866]) ).
cnf(s1046,plain,
( ~ spl0_3
| spl0_19
| spl0_34 ),
inference(sat_conversion,[],[f13870]) ).
cnf(s1051,plain,
( ~ spl0_121
| spl0_176
| ~ spl0_210 ),
inference(sat_conversion,[],[f13887]) ).
cnf(s1064,plain,
( spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f13912]) ).
cnf(s1068,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_197 ),
inference(sat_conversion,[],[f13917]) ).
cnf(s1069,plain,
( spl0_13
| spl0_24
| ~ spl0_44
| ~ spl0_174
| spl0_204 ),
inference(sat_conversion,[],[f13918]) ).
cnf(s1071,plain,
( spl0_169
| spl0_174 ),
inference(sat_conversion,[],[f13921]) ).
cnf(s1076,plain,
( ~ spl0_8
| spl0_174
| ~ spl0_201 ),
inference(sat_conversion,[],[f13931]) ).
cnf(s1079,plain,
( ~ spl0_6
| ~ spl0_21
| spl0_25
| ~ spl0_34 ),
inference(sat_conversion,[],[f13934]) ).
cnf(s1083,plain,
( ~ spl0_34
| ~ spl0_60
| spl0_119
| ~ spl0_241 ),
inference(sat_conversion,[],[f13942]) ).
cnf(s1086,plain,
( ~ spl0_167
| ~ spl0_169
| spl0_203 ),
inference(sat_conversion,[],[f13946]) ).
cnf(s1088,plain,
( spl0_15
| spl0_119
| spl0_169
| spl0_241 ),
inference(sat_conversion,[],[f13949]) ).
cnf(s1090,plain,
( spl0_119
| spl0_137
| spl0_195
| spl0_241 ),
inference(sat_conversion,[],[f13951]) ).
cnf(s1093,plain,
( ~ spl0_23
| ~ spl0_40 ),
inference(sat_conversion,[],[f13967]) ).
cnf(s1094,plain,
( ~ spl0_3
| ~ spl0_23
| ~ spl0_67 ),
inference(sat_conversion,[],[f13973]) ).
cnf(s1096,plain,
( ~ spl0_6
| ~ spl0_23
| spl0_51 ),
inference(sat_conversion,[],[f13975]) ).
cnf(s1097,plain,
( ~ spl0_8
| spl0_109 ),
inference(sat_conversion,[],[f13980]) ).
cnf(s1098,plain,
( ~ spl0_3
| ~ spl0_8
| spl0_34 ),
inference(sat_conversion,[],[f13981]) ).
cnf(s1131,plain,
~ spl0_189,
inference(sat_conversion,[],[f14136]) ).
cnf(s1134,plain,
( ~ spl0_35
| ~ spl0_67 ),
inference(sat_conversion,[],[f14142]) ).
cnf(s1136,plain,
( spl0_119
| spl0_167
| spl0_168 ),
inference(sat_conversion,[],[f14147]) ).
cnf(s1142,plain,
( spl0_22
| ~ spl0_25
| spl0_299 ),
inference(sat_conversion,[],[f14211]) ).
cnf(s1149,plain,
( ~ spl0_22
| ~ spl0_35
| ~ spl0_191 ),
inference(sat_conversion,[],[f14272]) ).
cnf(s1150,plain,
( ~ spl0_22
| ~ spl0_25
| ~ spl0_35 ),
inference(sat_conversion,[],[f14274]) ).
cnf(s1151,plain,
( ~ spl0_25
| spl0_125 ),
inference(sat_conversion,[],[f14279]) ).
cnf(s1165,plain,
~ spl0_183,
inference(sat_conversion,[],[f14437]) ).
cnf(s1181,plain,
( ~ spl0_23
| ~ spl0_34 ),
inference(sat_conversion,[],[f14550]) ).
cnf(s1184,plain,
( ~ spl0_51
| spl0_125 ),
inference(sat_conversion,[],[f14572]) ).
cnf(s1185,plain,
( spl0_22
| spl0_26
| ~ spl0_51 ),
inference(sat_conversion,[],[f14575]) ).
cnf(s1199,plain,
( ~ spl0_42
| spl0_175
| spl0_181
| spl0_183 ),
inference(sat_conversion,[],[f14759]) ).
cnf(s1205,plain,
( ~ spl0_16
| ~ spl0_186
| ~ spl0_212 ),
inference(sat_conversion,[],[f14831]) ).
cnf(s1207,plain,
( ~ spl0_16
| ~ spl0_26
| ~ spl0_212 ),
inference(sat_conversion,[],[f14833]) ).
cnf(s1215,plain,
( ~ spl0_168
| ~ spl0_191
| ~ spl0_299 ),
inference(sat_conversion,[],[f14957]) ).
cnf(s1216,plain,
( spl0_5
| ~ spl0_181
| ~ spl0_190 ),
inference(sat_conversion,[],[f14987]) ).
cnf(s1217,plain,
( spl0_67
| ~ spl0_276
| ~ spl0_283 ),
inference(sat_conversion,[],[f14996]) ).
cnf(s1218,plain,
( spl0_23
| ~ spl0_276
| spl0_282 ),
inference(sat_conversion,[],[f14997]) ).
cnf(s1223,plain,
( ~ spl0_191
| ~ spl0_268
| ~ spl0_287 ),
inference(sat_conversion,[],[f15134]) ).
cnf(s1229,plain,
( ~ spl0_16
| ~ spl0_287
| ~ spl0_290 ),
inference(sat_conversion,[],[f15187]) ).
cnf(s1233,plain,
( ~ spl0_2
| ~ spl0_30
| spl0_282
| ~ spl0_290 ),
inference(sat_conversion,[],[f15193]) ).
cnf(s1238,plain,
( ~ spl0_186
| ~ spl0_269
| ~ spl0_283 ),
inference(sat_conversion,[],[f15247]) ).
cnf(s1241,plain,
( ~ spl0_19
| ~ spl0_182
| ~ spl0_188 ),
inference(sat_conversion,[],[f15287]) ).
cnf(s1244,plain,
( ~ spl0_6
| ~ spl0_34
| ~ spl0_275
| spl0_283 ),
inference(sat_conversion,[],[f15322]) ).
cnf(s1245,plain,
( ~ spl0_35
| ~ spl0_205 ),
inference(sat_conversion,[],[f15340]) ).
cnf(s1246,plain,
( ~ spl0_35
| ~ spl0_182
| ~ spl0_205 ),
inference(sat_conversion,[],[f15342]) ).
cnf(s1249,plain,
( spl0_183
| ~ spl0_205
| ~ spl0_269
| spl0_308 ),
inference(sat_conversion,[],[f15376]) ).
cnf(s1252,plain,
( ~ spl0_121
| spl0_283
| ~ spl0_308 ),
inference(sat_conversion,[],[f15402]) ).
cnf(s1253,plain,
( ~ spl0_137
| spl0_290
| ~ spl0_308 ),
inference(sat_conversion,[],[f15403]) ).
cnf(s1254,plain,
( ~ spl0_137
| spl0_292
| ~ spl0_308 ),
inference(sat_conversion,[],[f15404]) ).
cnf(s1394,plain,
( ~ spl0_175
| ~ spl0_270
| spl0_292 ),
inference(sat_conversion,[],[f16058]) ).
cnf(s1395,plain,
( ~ spl0_175
| ~ spl0_270
| spl0_290 ),
inference(sat_conversion,[],[f16059]) ).
cnf(s1400,plain,
( ~ spl0_44
| ~ spl0_166
| spl0_189
| spl0_190
| spl0_204 ),
inference(sat_conversion,[],[f16068]) ).
cnf(s1402,plain,
( ~ spl0_6
| spl0_191
| ~ spl0_205
| ~ spl0_327 ),
inference(sat_conversion,[],[f16073]) ).
cnf(s1403,plain,
( ~ spl0_168
| ~ spl0_194
| ~ spl0_202 ),
inference(sat_conversion,[],[f16074]) ).
cnf(s1409,plain,
( ~ spl0_179
| ~ spl0_182
| ~ spl0_205 ),
inference(sat_conversion,[],[f16082]) ).
cnf(s1410,plain,
( ~ spl0_2
| ~ spl0_202
| ~ spl0_268
| spl0_282 ),
inference(sat_conversion,[],[f16083]) ).
cnf(s1411,plain,
( ~ spl0_44
| spl0_143
| ~ spl0_168
| spl0_190
| spl0_204 ),
inference(sat_conversion,[],[f16084]) ).
cnf(s1416,plain,
( spl0_121
| ~ spl0_182
| ~ spl0_205 ),
inference(sat_conversion,[],[f16089]) ).
cnf(s1418,plain,
( spl0_273
| spl0_283 ),
inference(sat_conversion,[],[f16091]) ).
cnf(s1424,plain,
( ~ spl0_4
| spl0_18
| ~ spl0_34
| ~ spl0_43 ),
inference(sat_conversion,[],[f16099]) ).
cnf(s1425,plain,
( ~ spl0_8
| spl0_125
| ~ spl0_169 ),
inference(sat_conversion,[],[f16101]) ).
cnf(s1431,plain,
( spl0_8
| spl0_14
| spl0_23
| ~ spl0_30 ),
inference(sat_conversion,[],[f16108]) ).
cnf(s1443,plain,
( spl0_23
| spl0_121
| spl0_122
| ~ spl0_193 ),
inference(sat_conversion,[],[f16223]) ).
cnf(s1450,plain,
( ~ spl0_63
| ~ spl0_162
| spl0_176 ),
inference(sat_conversion,[],[f16274]) ).
cnf(s1455,plain,
( ~ spl0_178
| spl0_317 ),
inference(sat_conversion,[],[f16310]) ).
cnf(s1456,plain,
( ~ spl0_29
| ~ spl0_125
| ~ spl0_193 ),
inference(sat_conversion,[],[f16322]) ).
cnf(s1469,plain,
( ~ spl0_3
| spl0_15
| spl0_19
| ~ spl0_202
| ~ spl0_203 ),
inference(sat_conversion,[],[f16430]) ).
cnf(s1470,plain,
( ~ spl0_2
| spl0_13
| ~ spl0_202
| ~ spl0_203 ),
inference(sat_conversion,[],[f16431]) ).
cnf(s1471,plain,
( ~ spl0_165
| spl0_327
| ~ spl0_329 ),
inference(sat_conversion,[],[f16485]) ).
cnf(s1473,plain,
( ~ spl0_30
| ~ spl0_290
| ~ spl0_305 ),
inference(sat_conversion,[],[f16526]) ).
cnf(s1480,plain,
( ~ spl0_17
| ~ spl0_292
| ~ spl0_331 ),
inference(sat_conversion,[],[f16562]) ).
cnf(s1482,plain,
( ~ spl0_178
| spl0_181
| ~ spl0_266 ),
inference(sat_conversion,[],[f16576]) ).
cnf(s1484,plain,
( spl0_5
| ~ spl0_190
| ~ spl0_317 ),
inference(sat_conversion,[],[f16605]) ).
cnf(s1489,plain,
( ~ spl0_125
| ~ spl0_278
| ~ spl0_299 ),
inference(sat_conversion,[],[f16662]) ).
cnf(s1491,plain,
( ~ spl0_25
| spl0_283 ),
inference(sat_conversion,[],[f16666]) ).
cnf(s1492,plain,
( spl0_282
| spl0_331 ),
inference(sat_conversion,[],[f16667]) ).
cnf(s1495,plain,
( ~ spl0_25
| spl0_191 ),
inference(sat_conversion,[],[f16671]) ).
cnf(s1498,plain,
( ~ spl0_137
| ~ spl0_167
| spl0_203 ),
inference(sat_conversion,[],[f16674]) ).
cnf(s1499,plain,
( ~ spl0_165
| spl0_174
| ~ spl0_175 ),
inference(sat_conversion,[],[f16675]) ).
cnf(s1500,plain,
( spl0_13
| ~ spl0_44
| spl0_189
| spl0_190
| ~ spl0_212 ),
inference(sat_conversion,[],[f16677]) ).
cnf(s1503,plain,
( ~ spl0_7
| ~ spl0_18
| spl0_34 ),
inference(sat_conversion,[],[f16679]) ).
cnf(s1504,plain,
( ~ spl0_7
| spl0_125
| ~ spl0_192 ),
inference(sat_conversion,[],[f16680]) ).
cnf(s1506,plain,
( ~ spl0_10
| spl0_174
| ~ spl0_192 ),
inference(sat_conversion,[],[f16683]) ).
cnf(s1509,plain,
( ~ spl0_4
| spl0_22
| spl0_29 ),
inference(sat_conversion,[],[f16702]) ).
cnf(s1512,plain,
( ~ spl0_4
| ~ spl0_23 ),
inference(sat_conversion,[],[f16717]) ).
cnf(s1517,plain,
( spl0_15
| ~ spl0_34
| spl0_69 ),
inference(sat_conversion,[],[f16770]) ).
cnf(s1518,plain,
( spl0_15
| spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f16771]) ).
cnf(s1523,plain,
( ~ spl0_22
| ~ spl0_35
| ~ spl0_125 ),
inference(sat_conversion,[],[f16824]) ).
cnf(s1529,plain,
( ~ spl0_5
| ~ spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f16860]) ).
cnf(s1531,plain,
( spl0_1
| ~ spl0_5
| spl0_29 ),
inference(sat_conversion,[],[f16862]) ).
cnf(s1535,plain,
( ~ spl0_18
| ~ spl0_117
| spl0_176 ),
inference(sat_conversion,[],[f16885]) ).
cnf(s1537,plain,
( ~ spl0_18
| ~ spl0_181
| spl0_203 ),
inference(sat_conversion,[],[f16903]) ).
cnf(s1538,plain,
( ~ spl0_18
| ~ spl0_181
| spl0_212 ),
inference(sat_conversion,[],[f16904]) ).
cnf(s1541,plain,
( ~ spl0_1
| ~ spl0_34
| spl0_39 ),
inference(sat_conversion,[],[f16944]) ).
cnf(s1543,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_67 ),
inference(sat_conversion,[],[f16946]) ).
cnf(s1546,plain,
( ~ spl0_18
| ~ spl0_273
| spl0_292 ),
inference(sat_conversion,[],[f16976]) ).
cnf(s1547,plain,
( ~ spl0_18
| ~ spl0_273
| spl0_290 ),
inference(sat_conversion,[],[f16977]) ).
cnf(s1549,plain,
( spl0_13
| ~ spl0_39 ),
inference(sat_conversion,[],[f16988]) ).
cnf(s1558,plain,
( spl0_189
| spl0_190
| spl0_202 ),
inference(sat_conversion,[],[f17034]) ).
cnf(s1567,plain,
( ~ spl0_3
| ~ spl0_178
| spl0_184
| spl0_303 ),
inference(sat_conversion,[],[f17125]) ).
cnf(s1575,plain,
( ~ spl0_8
| spl0_191
| ~ spl0_200 ),
inference(sat_conversion,[],[f17176]) ).
cnf(s1580,plain,
( spl0_39
| ~ spl0_184
| ~ spl0_203 ),
inference(sat_conversion,[],[f17277]) ).
cnf(s1584,plain,
( ~ spl0_4
| ~ spl0_162
| ~ spl0_167
| ~ spl0_186 ),
inference(sat_conversion,[],[f17334]) ).
cnf(s1591,plain,
( ~ spl0_229
| spl0_282
| ~ spl0_283 ),
inference(sat_conversion,[],[f17384]) ).
cnf(s1601,plain,
( ~ spl0_30
| ~ spl0_212
| ~ spl0_303 ),
inference(sat_conversion,[],[f17480]) ).
cnf(s1607,plain,
( ~ spl0_168
| ~ spl0_203
| ~ spl0_241 ),
inference(sat_conversion,[],[f17504]) ).
cnf(s1609,plain,
( ~ spl0_8
| spl0_203
| ~ spl0_317 ),
inference(sat_conversion,[],[f17506]) ).
cnf(s1619,plain,
( spl0_39
| ~ spl0_276
| ~ spl0_292 ),
inference(sat_conversion,[],[f17601]) ).
cnf(s1622,plain,
( ~ spl0_270
| ~ spl0_329
| spl0_337 ),
inference(sat_conversion,[],[f17677]) ).
cnf(s1627,plain,
( spl0_184
| spl0_303
| spl0_329 ),
inference(sat_conversion,[],[f17717]) ).
cnf(s1628,plain,
( ~ spl0_4
| ~ spl0_43
| spl0_181
| spl0_329 ),
inference(sat_conversion,[],[f17719]) ).
cnf(s1631,plain,
( ~ spl0_34
| ~ spl0_241
| ~ spl0_327 ),
inference(sat_conversion,[],[f17740]) ).
cnf(s1633,plain,
( ~ spl0_4
| ~ spl0_43
| spl0_117
| ~ spl0_327 ),
inference(sat_conversion,[],[f17743]) ).
cnf(s1636,plain,
( spl0_22
| spl0_122
| ~ spl0_125 ),
inference(sat_conversion,[],[f17763]) ).
cnf(s1637,plain,
( ~ spl0_179
| spl0_195
| spl0_196 ),
inference(sat_conversion,[],[f17777]) ).
cnf(s1638,plain,
( spl0_122
| ~ spl0_179
| spl0_195 ),
inference(sat_conversion,[],[f17778]) ).
cnf(s1655,plain,
( ~ spl0_5
| ~ spl0_179
| ~ spl0_194 ),
inference(sat_conversion,[],[f17914]) ).
cnf(s1657,plain,
( ~ spl0_162
| ~ spl0_308
| spl0_337 ),
inference(sat_conversion,[],[f17945]) ).
cnf(s1658,plain,
( ~ spl0_5
| ~ spl0_67 ),
inference(sat_conversion,[],[f17951]) ).
cnf(s1659,plain,
( ~ spl0_67
| ~ spl0_179 ),
inference(sat_conversion,[],[f17954]) ).
cnf(s1665,plain,
( ~ spl0_4
| ~ spl0_43
| spl0_273
| ~ spl0_337 ),
inference(sat_conversion,[],[f17994]) ).
cnf(s1667,plain,
( ~ spl0_13
| spl0_174
| ~ spl0_204 ),
inference(sat_conversion,[],[f17996]) ).
cnf(s1668,plain,
( ~ spl0_13
| ~ spl0_282
| spl0_292 ),
inference(sat_conversion,[],[f17997]) ).
cnf(s1669,plain,
( ~ spl0_13
| ~ spl0_282
| spl0_290 ),
inference(sat_conversion,[],[f17998]) ).
cnf(s1670,plain,
( ~ spl0_13
| spl0_176
| ~ spl0_204 ),
inference(sat_conversion,[],[f17999]) ).
cnf(s1675,plain,
( spl0_162
| spl0_327 ),
inference(sat_conversion,[],[f18030]) ).
cnf(s1679,plain,
( spl0_194
| spl0_195
| ~ spl0_327 ),
inference(sat_conversion,[],[f18065]) ).
cnf(s1681,plain,
( ~ spl0_4
| ~ spl0_122
| ~ spl0_327 ),
inference(sat_conversion,[],[f18068]) ).
cnf(s1689,plain,
( ~ spl0_176
| spl0_195
| spl0_241 ),
inference(sat_conversion,[],[f18121]) ).
cnf(s1692,plain,
( ~ spl0_15
| spl0_23
| ~ spl0_30 ),
inference(sat_conversion,[],[f18143]) ).
cnf(s1693,plain,
( ~ spl0_15
| ~ spl0_176
| spl0_207 ),
inference(sat_conversion,[],[f18144]) ).
cnf(s1694,plain,
( ~ spl0_13
| ~ spl0_190
| spl0_203 ),
inference(sat_conversion,[],[f18145]) ).
cnf(s1695,plain,
( ~ spl0_10
| ~ spl0_190
| spl0_203 ),
inference(sat_conversion,[],[f18146]) ).
cnf(s1696,plain,
( ~ spl0_13
| ~ spl0_190
| spl0_212 ),
inference(sat_conversion,[],[f18147]) ).
cnf(s1700,plain,
( ~ spl0_174
| ~ spl0_207 ),
inference(sat_conversion,[],[f18182]) ).
cnf(s1701,plain,
( spl0_39
| spl0_121
| spl0_122
| ~ spl0_174 ),
inference(sat_conversion,[],[f18184]) ).
cnf(s1702,plain,
( ~ spl0_39
| ~ spl0_176 ),
inference(sat_conversion,[],[f18192]) ).
cnf(s1704,plain,
( spl0_1
| ~ spl0_193
| spl0_194 ),
inference(sat_conversion,[],[f18217]) ).
cnf(s1706,plain,
( spl0_22
| spl0_186
| ~ spl0_191 ),
inference(sat_conversion,[],[f18255]) ).
cnf(s1709,plain,
( spl0_67
| spl0_178
| spl0_186
| ~ spl0_191 ),
inference(sat_conversion,[],[f18257]) ).
cnf(s1723,plain,
( spl0_15
| spl0_188
| ~ spl0_203 ),
inference(sat_conversion,[],[f18415]) ).
cnf(s1724,plain,
( spl0_39
| spl0_178
| spl0_186
| ~ spl0_203 ),
inference(sat_conversion,[],[f18416]) ).
cnf(s1725,plain,
( spl0_275
| spl0_276
| ~ spl0_290 ),
inference(sat_conversion,[],[f18431]) ).
cnf(s1729,plain,
( spl0_15
| spl0_275
| ~ spl0_292 ),
inference(sat_conversion,[],[f18448]) ).
cnf(s1730,plain,
( ~ spl0_121
| ~ spl0_167
| ~ spl0_317 ),
inference(sat_conversion,[],[f18470]) ).
cnf(s1736,plain,
( ~ spl0_188
| ~ spl0_269
| ~ spl0_292 ),
inference(sat_conversion,[],[f18574]) ).
cnf(s1738,plain,
( spl0_276
| spl0_305
| ~ spl0_337 ),
inference(sat_conversion,[],[f18597]) ).
cnf(s1739,plain,
( ~ spl0_203
| ~ spl0_268
| ~ spl0_275 ),
inference(sat_conversion,[],[f18633]) ).
cnf(s1740,plain,
( spl0_22
| ~ spl0_283
| spl0_287 ),
inference(sat_conversion,[],[f18651]) ).
cnf(s1744,plain,
( ~ spl0_174
| ~ spl0_275
| ~ spl0_278 ),
inference(sat_conversion,[],[f18687]) ).
cnf(s1748,plain,
( ~ spl0_178
| ~ spl0_270
| ~ spl0_273 ),
inference(sat_conversion,[],[f18692]) ).
cnf(s1751,plain,
( ~ spl0_178
| ~ spl0_270
| spl0_283 ),
inference(sat_conversion,[],[f18695]) ).
cnf(s1752,plain,
( spl0_8
| spl0_14
| ~ spl0_176
| spl0_207 ),
inference(sat_conversion,[],[f18696]) ).
cnf(s1754,plain,
( spl0_18
| ~ spl0_43
| ~ spl0_283
| ~ spl0_292 ),
inference(sat_conversion,[],[f18701]) ).
cnf(s1758,plain,
( ~ spl0_16
| spl0_22
| spl0_42 ),
inference(sat_conversion,[],[f18727]) ).
cnf(s1759,plain,
( spl0_14
| ~ spl0_16
| spl0_22 ),
inference(sat_conversion,[],[f18728]) ).
cnf(s1761,plain,
( spl0_8
| spl0_14
| ~ spl0_16
| spl0_67 ),
inference(sat_conversion,[],[f18729]) ).
cnf(s1762,plain,
( spl0_15
| ~ spl0_19
| spl0_41 ),
inference(sat_conversion,[],[f18743]) ).
cnf(s1766,plain,
( ~ spl0_182
| spl0_184
| spl0_186 ),
inference(sat_conversion,[],[f18777]) ).
cnf(s1768,plain,
( ~ spl0_109
| ~ spl0_121
| ~ spl0_137 ),
inference(sat_conversion,[],[f18813]) ).
cnf(s1770,plain,
( spl0_183
| spl0_200
| spl0_203 ),
inference(sat_conversion,[],[f18830]) ).
cnf(s1771,plain,
( spl0_143
| spl0_200
| spl0_203 ),
inference(sat_conversion,[],[f18831]) ).
cnf(s1774,plain,
( spl0_39
| ~ spl0_174
| ~ spl0_195 ),
inference(sat_conversion,[],[f18890]) ).
cnf(s1776,plain,
( ~ spl0_166
| spl0_184
| spl0_205 ),
inference(sat_conversion,[],[f18923]) ).
cnf(s1779,plain,
( ~ spl0_168
| spl0_195
| spl0_205 ),
inference(sat_conversion,[],[f18942]) ).
cnf(s1781,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_186
| ~ spl0_200 ),
inference(sat_conversion,[],[f18970]) ).
cnf(s1783,plain,
( ~ spl0_16
| ~ spl0_39 ),
inference(sat_conversion,[],[f18982]) ).
cnf(s1787,plain,
( spl0_5
| ~ spl0_197
| spl0_199
| ~ spl0_282 ),
inference(rat,[],[s1041,s1131]) ).
cnf(s1801,plain,
( ~ spl0_56
| ~ spl0_117
| ~ spl0_167 ),
inference(rat,[],[s786,s1165]) ).
cnf(s1807,plain,
( ~ spl0_41
| ~ spl0_42
| spl0_117
| spl0_119
| ~ spl0_167
| spl0_178 ),
inference(rat,[],[s580,s1165]) ).
cnf(s1813,plain,
( spl0_13
| ~ spl0_44
| spl0_175
| spl0_190 ),
inference(rat,[],[s453,s1131]) ).
cnf(s1825,plain,
( spl0_18
| ~ spl0_43
| ~ spl0_125
| spl0_169 ),
inference(rat,[],[s323,s486]) ).
cnf(s1839,plain,
( ~ spl0_16
| ~ spl0_122
| spl0_137 ),
inference(rat,[],[s213,s513]) ).
cnf(s1844,plain,
( spl0_13
| spl0_30 ),
inference(rat,[],[s40,s486]) ).
cnf(s1847,plain,
( ~ spl0_179
| spl0_39
| spl0_34
| spl0_8
| ~ spl0_5
| spl0_1 ),
inference(rat,[],[s315,s1675,s970,s1679,s1637,s1774,s1667,s685,s1704,s1655,s18,s9,s1,s513,s389]) ).
cnf(s1848,plain,
( ~ spl0_282
| ~ spl0_188
| ~ spl0_178
| ~ spl0_14
| ~ spl0_13 ),
inference(rat,[],[s984,s1748,s1736,s1043,s1668,s513,s1001]) ).
cnf(s1849,plain,
( spl0_283
| ~ spl0_178
| ~ spl0_205
| ~ spl0_121 ),
inference(rat,[],[s984,s1249,s1751,s1252,s513,s1165]) ).
cnf(s1850,plain,
( ~ spl0_283
| ~ spl0_16
| ~ spl0_13
| spl0_22
| ~ spl0_229 ),
inference(rat,[],[s1669,s1229,s1591,s1740]) ).
cnf(s1851,plain,
( ~ spl0_195
| spl0_39
| ~ spl0_13
| spl0_23 ),
inference(rat,[],[s1667,s1774,s545]) ).
cnf(s1854,plain,
( ~ spl0_178
| ~ spl0_121
| spl0_195
| spl0_283 ),
inference(rat,[],[s1136,s1779,s1730,s1849,s1455,s513]) ).
cnf(s1855,plain,
( spl0_186
| spl0_178
| spl0_39
| ~ spl0_13
| spl0_23 ),
inference(rat,[],[s768,s1694,s1766,s1724,s447]) ).
cnf(s1856,plain,
( spl0_18
| spl0_8
| spl0_3
| spl0_1 ),
inference(rat,[],[s1689,s1670,s1607,s1411,s1136,s690,s529,s1771,s1696,s1781,s1205,s1855,s1854,s680,s1851,s1850,s1847,s1759,s1783,s78,s19,s1424,s57,s667,s1531,s56,s1529,s1512,s2,s9,s1,s3,s389,s513]) ).
cnf(s1857,plain,
( spl0_203
| ~ spl0_18
| ~ spl0_13
| ~ spl0_237 ),
inference(rat,[],[s910,s1537,s1770,s1165]) ).
cnf(s1858,plain,
( ~ spl0_121
| spl0_195
| ~ spl0_317
| ~ spl0_203
| ~ spl0_109 ),
inference(rat,[],[s1607,s1136,s1090,s1730,s1768,s513]) ).
cnf(s1859,plain,
( spl0_195
| ~ spl0_178
| ~ spl0_18
| spl0_8
| ~ spl0_5
| spl0_1 ),
inference(rat,[],[s1546,s1480,s1418,s1492,s1591,s1848,s1723,s1518,s1752,s1693,s1700,s315,s1667,s1670,s1675,s685,s970,s1679,s1704,s1637,s1655,s680,s1858,s18,s662,s1857,s9,s1,s770,s667,s1531,s1455,s389,s513]) ).
cnf(s1860,plain,
( ~ spl0_195
| ~ spl0_13
| spl0_23 ),
inference(rat,[],[s1702,s1670,s1851,s545]) ).
cnf(s1861,plain,
( ~ spl0_121
| ~ spl0_15
| spl0_178
| ~ spl0_203
| ~ spl0_18
| ~ spl0_13
| spl0_7
| spl0_3 ),
inference(rat,[],[s639,s1584,s694,s1136,s1700,s1855,s1607,s1693,s1702,s1090,s1051,s1768,s56,s1529,s3,s745,s662,s1860,s1512,s2,s513]) ).
cnf(s1862,plain,
( spl0_8
| spl0_7
| spl0_3
| spl0_1 ),
inference(rat,[],[s1702,s1580,s1670,s581,s685,s1136,s970,s1704,s1779,s1637,s1655,s1416,s680,s1861,s1723,s1241,s447,s1859,s1860,s1857,s1856,s9,s18,s1,s1512,s2,s770,s667,s1531,s3,s389,s513]) ).
cnf(s1863,plain,
( ~ spl0_179
| ~ spl0_16
| spl0_34
| spl0_195
| ~ spl0_5 ),
inference(rat,[],[s315,s1675,s1839,s1679,s1638,s1655]) ).
cnf(s1864,plain,
( spl0_18
| ~ spl0_13
| ~ spl0_8
| ~ spl0_229
| ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s1771,s1607,s1781,s1136,s1855,s1090,s573,s1854,s1768,s680,s1863,s1068,s1850,s1758,s1759,s1783,s78,s19,s1424,s56,s1529,s1097,s1860,s1512,s389,s513]) ).
cnf(s1865,plain,
( spl0_283
| ~ spl0_188
| ~ spl0_178
| ~ spl0_18 ),
inference(rat,[],[s1736,s984,s1546,s1751,s1418,s513]) ).
cnf(s1866,plain,
( ~ spl0_178
| ~ spl0_18
| spl0_195
| ~ spl0_13
| ~ spl0_109
| ~ spl0_5
| spl0_1 ),
inference(rat,[],[s1014,s983,s1744,s1739,s1725,s1669,s1591,s1217,s1865,s1723,s1136,s1693,s1607,s1700,s1689,s1667,s1670,s685,s1704,s1655,s680,s1858,s1455,s1658,s1857,s770,s667,s1531,s389,s513]) ).
cnf(s1867,plain,
( spl0_283
| ~ spl0_167
| ~ spl0_21
| ~ spl0_174
| spl0_15
| ~ spl0_203
| ~ spl0_18 ),
inference(rat,[],[s1739,s983,s1729,s1014,s1546,s1024,s1418,s513,s389]) ).
cnf(s1868,plain,
( ~ spl0_121
| spl0_178
| ~ spl0_13
| ~ spl0_8
| spl0_7
| ~ spl0_229
| spl0_3 ),
inference(rat,[],[s1744,s1014,s1725,s983,s1669,s1223,s1591,s1217,s1740,s1867,s690,s1136,s1607,s16,s1090,s1076,s1861,s1768,s695,s1658,s1529,s1097,s6,s1860,s1512,s1857,s1864,s2,s3,s770,s389,s513]) ).
cnf(s1869,plain,
( ~ spl0_13
| spl0_7
| spl0_3
| spl0_1 ),
inference(rat,[],[s1724,s1702,s1584,s1670,s1675,s685,s1136,s1679,s1704,s1779,s1655,s1416,s680,s1868,s447,s1866,s1857,s1864,s1860,s1512,s2,s770,s667,s1531,s3,s1097,s1862,s389,s513]) ).
cnf(s1871,plain,
( ~ spl0_273
| ~ spl0_188
| ~ spl0_178
| ~ spl0_18 ),
inference(rat,[],[s984,s1736,s1748,s1546,s513]) ).
cnf(s1872,plain,
( spl0_329
| spl0_184
| ~ spl0_18
| ~ spl0_30
| spl0_3 ),
inference(rat,[],[s1538,s1601,s1628,s1627,s56,s1529,s1512,s2,s3]) ).
cnf(s1873,plain,
( spl0_327
| ~ spl0_329
| spl0_337
| spl0_184 ),
inference(rat,[],[s1249,s1776,s1045,s1471,s1657,s1675,s984,s1622,s1165,s513]) ).
cnf(s1874,plain,
( ~ spl0_178
| ~ spl0_18
| spl0_15
| ~ spl0_30
| spl0_39
| ~ spl0_8
| spl0_3 ),
inference(rat,[],[s1858,s1701,s1774,s694,s1681,s1633,s1873,s1872,s1665,s1871,s1723,s1580,s1609,s1455,s56,s1529,s1512,s2,s3,s1097]) ).
cnf(s1875,plain,
( ~ spl0_337
| ~ spl0_18
| ~ spl0_30
| spl0_39
| spl0_3 ),
inference(rat,[],[s1738,s1619,s1473,s1546,s1547,s1665,s56,s1529,s1512,s2,s3]) ).
cnf(s1876,plain,
( spl0_203
| spl0_195
| spl0_337
| ~ spl0_18
| ~ spl0_8
| ~ spl0_43
| ~ spl0_229
| spl0_67
| ~ spl0_4 ),
inference(rat,[],[s1689,s1631,s1535,s78,s1633,s1695,s1873,s767,s769,s1628,s1575,s1537,s1770,s1165]) ).
cnf(s1877,plain,
( ~ spl0_203
| spl0_178
| ~ spl0_18
| spl0_15
| ~ spl0_30
| spl0_39
| spl0_3 ),
inference(rat,[],[s1546,s1418,s1736,s1238,s984,s1622,s1872,s1724,s1723,s1580,s1875,s513]) ).
cnf(s1878,plain,
( spl0_7
| spl0_3
| spl0_1 ),
inference(rat,[],[s1071,s1425,s1774,s562,s1876,s1877,s1875,s1874,s634,s22,s1844,s1549,s1869,s1862,s1658,s667,s1531,s56,s1529,s1512,s2,s3]) ).
cnf(s1879,plain,
( ~ spl0_13
| ~ spl0_7
| spl0_22
| ~ spl0_229
| ~ spl0_4
| ~ spl0_44 ),
inference(rat,[],[s1696,s1205,s1411,s1855,s1136,s1854,s1801,s547,s680,s492,s1504,s1638,s1636,s622,s53,s7,s734,s909,s1850,s1759,s1783,s627,s1860,s678,s1512,s770,s4,s389,s513]) ).
cnf(s1880,plain,
( spl0_3
| spl0_1 ),
inference(rat,[],[s562,s1151,s1876,s1079,s1877,s1875,s1874,s16,s601,s19,s6,s34,s9,s22,s1844,s1549,s1879,s4,s1878,s56,s1529,s667,s1512,s1531,s1658,s2,s3,s57,s1]) ).
cnf(s1881,plain,
( ~ spl0_179
| spl0_195
| spl0_34
| ~ spl0_4
| ~ spl0_19 ),
inference(rat,[],[s1675,s315,s1681,s970,s1638,s1637,s513]) ).
cnf(s1882,plain,
( ~ spl0_4
| spl0_8
| spl0_18
| ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s537,s1136,s1558,s690,s1696,s529,s1205,s1781,s1855,s1854,s680,s1881,s1850,s667,s1860,s734,s1509,s1424,s1512,s1783,s1761,s566,s56,s35,s18,s19,s513,s1131,s389]) ).
cnf(s1883,plain,
( ~ spl0_5
| spl0_195
| ~ spl0_178
| ~ spl0_7
| spl0_8
| ~ spl0_16
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s1670,s685,s1689,s1704,s1083,s1655,s1847,s680,s785,s1854,s909,s1850,s770,s667,s1531,s1783,s35,s1761,s566,s18,s389,s513]) ).
cnf(s1884,plain,
( spl0_283
| spl0_203
| spl0_23
| spl0_5
| spl0_195
| ~ spl0_178
| ~ spl0_6
| ~ spl0_14
| ~ spl0_19
| ~ spl0_2 ),
inference(rat,[],[s7,s53,s78,s540,s1244,s1136,s1010,s1498,s988,s970,s983,s1637,s1410,s1218,s680,s1038,s1854,s1418,s1558,s1484,s1455,s513,s1131]) ).
cnf(s1888,plain,
( ~ spl0_204
| ~ spl0_7
| ~ spl0_43
| ~ spl0_16
| ~ spl0_13 ),
inference(rat,[],[s683,s761,s1670,s547]) ).
cnf(s1889,plain,
( spl0_190
| ~ spl0_178
| spl0_8
| spl0_18
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s1014,s983,s1019,s1410,s1848,s452,s1580,s772,s1086,s1825,s441,s1045,s1136,s1400,s1411,s1558,s57,s1,s1783,s1761,s566,s682,s1888,s5,s1882,s1880,s56,s35,s18,s19,s389,s513,s1131]) ).
cnf(s1890,plain,
( ~ spl0_178
| spl0_8
| spl0_18
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s1096,s545,s1185,s1883,s1207,s1484,s1696,s1889,s1455,s4,s1888,s5,s1882,s1880,s56,s35,s18,s19]) ).
cnf(s1891,plain,
( ~ spl0_29
| spl0_178
| spl0_204
| ~ spl0_6
| ~ spl0_14
| ~ spl0_16
| ~ spl0_13
| ~ spl0_44 ),
inference(rat,[],[s1696,s1411,s1205,s1136,s1855,s1801,s1096,s909,s492,s1184,s770,s1456,s667,s1783,s682,s389,s513]) ).
cnf(s1892,plain,
( spl0_23
| spl0_195
| spl0_5
| spl0_178
| spl0_204
| ~ spl0_14
| ~ spl0_19
| ~ spl0_16
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s1014,s983,s1019,s1410,s1787,s573,s531,s1443,s1637,s1839,s970,s581,s1136,s768,s1411,s1558,s1696,s1205,s1855,s57,s1,s1783,s56,s1758,s35,s682,s1241,s447,s389,s513,s1131]) ).
cnf(s1893,plain,
( ~ spl0_23
| ~ spl0_6
| ~ spl0_14 ),
inference(rat,[],[s7,s53,s78,s1093,s1181]) ).
cnf(s1894,plain,
( spl0_8
| spl0_18
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s1892,s1860,s1893,s1531,s1891,s1890,s1888,s4,s5,s1882,s56,s1761,s35,s566,s18,s57,s1880,s19]) ).
cnf(s1895,plain,
( spl0_18
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s680,s1655,s1854,s1704,s1891,s682,s1888,s4,s5,s1850,s1864,s1759,s56,s667,s1860,s1529,s1531,s1181,s746,s1098,s1097,s1894,s19,s57,s1880]) ).
cnf(s1896,plain,
( ~ spl0_23
| ~ spl0_18 ),
inference(rat,[],[s1503,s5,s1181,s1512]) ).
cnf(s1898,plain,
( ~ spl0_204
| ~ spl0_15
| ~ spl0_13 ),
inference(rat,[],[s1700,s1693,s1667,s1670]) ).
cnf(s1899,plain,
( ~ spl0_117
| ~ spl0_15
| ~ spl0_18 ),
inference(rat,[],[s1700,s1693,s694,s1535]) ).
cnf(s1900,plain,
( ~ spl0_15
| ~ spl0_29
| ~ spl0_18
| ~ spl0_13 ),
inference(rat,[],[s492,s1456,s1899,s682,s1898]) ).
cnf(s1901,plain,
( ~ spl0_16
| ~ spl0_212
| spl0_178
| spl0_23
| ~ spl0_13 ),
inference(rat,[],[s1855,s1205,s1783]) ).
cnf(s1902,plain,
( ~ spl0_176
| ~ spl0_4
| ~ spl0_167
| ~ spl0_34
| spl0_178
| spl0_23
| ~ spl0_13 ),
inference(rat,[],[s1675,s1584,s1631,s1855,s1689,s1702,s1860]) ).
cnf(s1903,plain,
( spl0_7
| ~ spl0_167
| ~ spl0_34
| spl0_178
| ~ spl0_18
| ~ spl0_13 ),
inference(rat,[],[s639,s1535,s1450,s1902,s5,s435,s678,s56,s1529,s1896,s746,s662]) ).
cnf(s1904,plain,
( ~ spl0_13
| spl0_1 ),
inference(rat,[],[s627,s1903,s1901,s1136,s1779,s1246,s43,s1696,s41,s1558,s8,s1046,s1469,s18,s1241,s1723,s1900,s447,s1866,s1860,s1896,s1857,s770,s667,s1531,s746,s662,s1895,s678,s1880,s513,s1131]) ).
cnf(s1905,plain,
( spl0_7
| spl0_18
| spl0_1 ),
inference(rat,[],[s682,s774,s554,s1523,s48,s46,s14,s6,s8,s22,s18,s1509,s1512,s642,s5,s1,s1880,s658,s1844,s1531,s34,s19,s1904]) ).
cnf(s1906,plain,
( ~ spl0_204
| ~ spl0_269
| spl0_292
| ~ spl0_43
| spl0_203
| spl0_195
| ~ spl0_7
| spl0_5
| spl0_18 ),
inference(rat,[],[s1779,s1249,s1136,s1254,s1086,s598,s1825,s761,s554,s547,s1165,s513,s486]) ).
cnf(s1907,plain,
( ~ spl0_178
| spl0_195
| spl0_18
| spl0_1 ),
inference(rat,[],[s1045,s1499,s1400,s1069,s1906,s984,s1394,s1754,s1884,s1893,s56,s1761,s36,s566,s18,s1609,s1470,s1813,s1558,s1484,s1455,s57,s1,s1531,s34,s19,s1904,s4,s1905,s513,s1131,s486]) ).
cnf(s1908,plain,
( ~ spl0_204
| ~ spl0_42
| ~ spl0_41
| spl0_178
| spl0_195
| ~ spl0_7
| spl0_5 ),
inference(rat,[],[s1136,s1779,s1807,s1409,s761,s548,s547,s447,s513]) ).
cnf(s1909,plain,
( spl0_8
| spl0_15
| spl0_195
| spl0_18
| spl0_1 ),
inference(rat,[],[s1249,s984,s1253,s1395,s1233,s1787,s1199,s531,s494,s1216,s1409,s1411,s1779,s1136,s1086,s668,s1071,s684,s1069,s1908,s1723,s1758,s56,s1762,s1241,s36,s1761,s18,s57,s1,s1844,s1531,s34,s19,s1904,s1905,s565,s447,s1907,s1165,s513,s389,s486]) ).
cnf(s1910,plain,
( spl0_15
| spl0_195
| spl0_18
| spl0_1 ),
inference(rat,[],[s590,s1839,s1205,s1136,s1636,s1706,s1779,s1150,s1151,s1495,s1245,s1079,s48,s16,s46,s1098,s6,s8,s1909,s1,s1880,s1531,s34,s19,s1904,s4,s1905,s513]) ).
cnf(s1911,plain,
( spl0_195
| spl0_18
| spl0_1 ),
inference(rat,[],[s1761,s1098,s1893,s1181,s1692,s1910,s565,s447,s1907,s1880,s1844,s1904,s19,s4,s1905]) ).
cnf(s1912,plain,
( ~ spl0_204
| ~ spl0_195
| spl0_5 ),
inference(rat,[],[s562,s1659,s554,s548]) ).
cnf(s1913,plain,
( spl0_18
| spl0_1 ),
inference(rat,[],[s1761,s1098,s1893,s1094,s1181,s545,s1912,s1911,s4,s1905,s1531,s34,s19,s1880,s1904]) ).
cnf(s1914,plain,
( ~ spl0_178
| ~ spl0_4
| ~ spl0_5
| spl0_195
| spl0_1 ),
inference(rat,[],[s1628,s1471,s1538,s1681,s1045,s1601,s1638,s1776,s1567,s680,s1580,s1858,s1609,s1455,s1549,s1844,s662,s56,s1529,s1245,s43,s41,s8,s22,s1896,s1913,s1098,s9,s1,s1904,s1880,s513]) ).
cnf(s1915,plain,
( spl0_162
| spl0_7
| ~ spl0_132
| ~ spl0_43 ),
inference(rat,[],[s913,s639,s513,s389]) ).
cnf(s1916,plain,
( spl0_7
| ~ spl0_5
| spl0_195
| spl0_1 ),
inference(rat,[],[s1770,s1575,s1724,s1706,s1584,s1915,s1914,s5,s1549,s56,s1529,s589,s1517,s34,s1531,s1136,s1779,s1245,s43,s41,s8,s22,s1896,s1913,s1098,s9,s1,s1904,s1880,s1165,s513]) ).
cnf(s1917,plain,
( ~ spl0_5
| spl0_195
| spl0_1 ),
inference(rat,[],[s983,s1014,s1223,s1489,s1740,s1142,s1151,s1491,s1495,s1079,s4,s1916,s1136,s1779,s1245,s43,s41,s1098,s8,s1529,s9,s1,s1880,s16,s22,s1896,s1904,s13,s1913,s513,s389]) ).
cnf(s1918,plain,
( ~ spl0_178
| ~ spl0_266
| spl0_5
| spl0_1 ),
inference(rat,[],[s1500,s1538,s1484,s1482,s1455,s57,s1904,s1913,s1131]) ).
cnf(s1919,plain,
( spl0_8
| spl0_7
| spl0_5
| spl0_1 ),
inference(rat,[],[s1766,s768,s1781,s1695,s1770,s1723,s1241,s447,s1918,s905,s628,s56,s734,s36,s1431,s18,s1844,s22,s1896,s1913,s1904,s5,s1165]) ).
cnf(s1920,plain,
( ~ spl0_317
| ~ spl0_8
| spl0_5
| spl0_1 ),
inference(rat,[],[s1470,s1558,s1609,s1484,s1,s1904,s1131]) ).
cnf(s1921,plain,
( spl0_203
| spl0_178
| ~ spl0_167
| spl0_67
| ~ spl0_34
| ~ spl0_8
| ~ spl0_4
| spl0_15 ),
inference(rat,[],[s1675,s1584,s1631,s1709,s1088,s1575,s1086,s1770,s513,s1165]) ).
cnf(s1922,plain,
( spl0_7
| spl0_195
| spl0_1 ),
inference(rat,[],[s589,s1915,s1759,s56,s1149,s495,s1584,s1558,s1724,s1470,s1921,s1455,s1920,s1136,s1779,s1134,s1245,s48,s734,s1517,s46,s1044,s1098,s8,s1919,s5,s1,s1880,s1549,s22,s1896,s1913,s1904,s1917,s1131,s513]) ).
cnf(s1923,plain,
( spl0_22
| ~ spl0_25 ),
inference(rat,[],[s1014,s983,s1136,s1223,s1215,s1489,s1740,s1142,s1495,s1491,s1151,s389,s513]) ).
cnf(s1924,plain,
( spl0_195
| spl0_1 ),
inference(rat,[],[s46,s8,s48,s18,s1523,s36,s1923,s1151,s1079,s1503,s4,s1922,s1917,s1,s16,s22,s1896,s1904,s13,s1913]) ).
cnf(s1925,plain,
spl0_1,
inference(rat,[],[s562,s1658,s492,s1912,s694,s545,s1774,s1924,s1896,s1913,s1549,s1904]) ).
cnf(s1926,plain,
( ~ spl0_67
| ~ spl0_13 ),
inference(rat,[],[s21,s566,s1658]) ).
cnf(s1927,plain,
~ spl0_13,
inference(rat,[],[s35,s1923,s1046,s25,s1541,s4,s1783,s2,s5,s616,s1543,s1926,s678,s1925]) ).
cnf(s1928,plain,
~ spl0_39,
inference(rat,[],[s1549,s1927]) ).
cnf(s1929,plain,
spl0_30,
inference(rat,[],[s1844,s1927]) ).
cnf(s1930,plain,
~ spl0_34,
inference(rat,[],[s1541,s1925,s1928]) ).
cnf(s1932,plain,
spl0_63,
inference(rat,[],[s80,s1930]) ).
cnf(s1933,plain,
spl0_10,
inference(rat,[],[s78,s1930]) ).
cnf(s1935,plain,
spl0_158,
inference(rat,[],[s429,s1933]) ).
cnf(s1936,plain,
spl0_11,
inference(rat,[],[s7,s1933]) ).
cnf(s1937,plain,
~ spl0_67,
inference(rat,[],[s18,s1044,s566,s1658,s1933]) ).
cnf(s1938,plain,
~ spl0_4,
inference(rat,[],[s1543,s1925,s1937]) ).
cnf(s1939,plain,
spl0_16,
inference(rat,[],[s616,s1935,s1938]) ).
cnf(s1940,plain,
spl0_7,
inference(rat,[],[s5,s1938]) ).
cnf(s1941,plain,
spl0_3,
inference(rat,[],[s2,s1938]) ).
cnf(s1942,plain,
~ spl0_8,
inference(rat,[],[s1064,s1933,s1938]) ).
cnf(s1944,plain,
spl0_6,
inference(rat,[],[s4,s1940]) ).
cnf(s1945,plain,
~ spl0_18,
inference(rat,[],[s1503,s1930,s1940]) ).
cnf(s1947,plain,
spl0_19,
inference(rat,[],[s1046,s1930,s1941]) ).
cnf(s1948,plain,
spl0_14,
inference(rat,[],[s1761,s1937,s1939,s1942]) ).
cnf(s1950,plain,
~ spl0_22,
inference(rat,[],[s36,s1927,s1947]) ).
cnf(s1952,plain,
~ spl0_23,
inference(rat,[],[s1893,s1944,s1948]) ).
cnf(s1955,plain,
spl0_5,
inference(rat,[],[s29,s1944,s1933,s1925,s1948]) ).
cnf(s1956,plain,
spl0_40,
inference(rat,[],[s53,s1936,s1944,s1948]) ).
cnf(s1959,plain,
spl0_43,
inference(rat,[],[s56,s1950]) ).
cnf(s1980,plain,
( ~ spl0_168
| spl0_195 ),
inference(rat,[],[s1695,s755,s1558,s1402,s1403,s1779,s1679,s1675,s1450,s677,s1933,s1959,s1945,s1131,s1944,s1932,s1956,s1929]) ).
cnf(s1981,plain,
spl0_195,
inference(rat,[],[s755,s690,s1498,s1136,s1980,s668,s680,s677,s1863,s1959,s1945,s513,s1929,s1956,s1939,s1955,s1930]) ).
cnf(s1982,plain,
~ spl0_174,
inference(rat,[],[s1774,s1928,s1981]) ).
cnf(s1983,plain,
spl0_204,
inference(rat,[],[s545,s1952,s1981]) ).
cnf(s1986,plain,
~ spl0_192,
inference(rat,[],[s1506,s1933,s1982]) ).
cnf(s1987,plain,
$false,
inference(rat,[],[s547,s1983,s1986]) ).
thf(f18983,plain,
$false,
inference(avatar_sat_refutation,[],[s1987]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA169^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n011.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:07:16 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 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
% 0.19/0.35 % (518136)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.19/0.35 % (518144)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=2564172972:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.19/0.35 % (518147)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.19/0.35 % (518147)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.19/0.35 % (518141)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3080079742:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.19/0.35 % (518142)lrs+10_16_si=on:nwc=1.5:random_seed=3787274662:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.19/0.35 % (518143)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2951909685:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.19/0.35 % (518146)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4286902317:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.19/0.35 % (518145)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2252803817:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.19/0.35 % (518147)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=3752690909:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.19/0.35 % (518143)Instruction limit reached!
% 0.19/0.35 % (518143)------------------------------
% 0.19/0.35 % (518143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (518143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (518143)CaDiCaL version: 2.1.3
% 0.19/0.35 % (518143)Termination reason: Instruction limit
% 0.19/0.35 % (518143)Termination phase: Saturation
% 0.19/0.35 % (518143)Time elapsed: 0.003 s
% 0.19/0.35 % (518143)Peak memory usage: 12 MB
% 0.19/0.35 % (518143)Instructions burned: 4 (million)
% 0.19/0.35 % (518142)Instruction limit reached!
% 0.19/0.35 % (518142)------------------------------
% 0.19/0.35 % (518142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (518142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (518142)CaDiCaL version: 2.1.3
% 0.19/0.35 % (518142)Termination reason: Instruction limit
% 0.19/0.35 % (518142)Termination phase: Saturation
% 0.19/0.35 % (518142)Time elapsed: 0.009 s
% 0.19/0.35 % (518142)Peak memory usage: 12 MB
% 0.19/0.35 % (518142)Instructions burned: 18 (million)
% 0.19/0.35 % (518145)Instruction limit reached!
% 0.19/0.35 % (518145)------------------------------
% 0.19/0.35 % (518145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (518145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (518145)CaDiCaL version: 2.1.3
% 0.19/0.35 % (518145)Termination reason: Instruction limit
% 0.19/0.35 % (518145)Termination phase: Saturation
% 0.19/0.35 % (518145)Time elapsed: 0.012 s
% 0.19/0.35 % (518145)Peak memory usage: 12 MB
% 0.19/0.35 % (518145)Instructions burned: 26 (million)
% 0.19/0.35 % (518155)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2569839006:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.19/0.35 % (518155)Instruction limit reached!
% 0.19/0.35 % (518155)------------------------------
% 0.19/0.35 % (518155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (518155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (518155)CaDiCaL version: 2.1.3
% 0.19/0.35 % (518155)Termination reason: Instruction limit
% 0.19/0.35 % (518155)Termination phase: Saturation
% 0.19/0.35 % (518155)Time elapsed: 0.002 s
% 0.19/0.35 % (518155)Peak memory usage: 12 MB
% 0.19/0.35 % (518155)Instructions burned: 2 (million)
% 0.19/0.35 % (518157)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.19/0.35 % (518156)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2290096486:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.84/0.38 % (518157)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2735097886:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.84/0.38 % (518156)Instruction limit reached!
% 0.84/0.38 % (518156)------------------------------
% 0.84/0.38 % (518156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.38 % (518156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.38 % (518156)CaDiCaL version: 2.1.3
% 0.84/0.38 % (518156)Termination reason: Instruction limit
% 0.84/0.38 % (518156)Termination phase: Saturation
% 0.84/0.38 % (518156)Time elapsed: 0.003 s
% 0.84/0.38 % (518156)Peak memory usage: 12 MB
% 0.84/0.38 % (518156)Instructions burned: 5 (million)
% 0.84/0.38 % (518157)Instruction limit reached!
% 0.84/0.38 % (518157)------------------------------
% 0.84/0.38 % (518157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.38 % (518157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.38 % (518157)CaDiCaL version: 2.1.3
% 0.84/0.38 % (518157)Termination reason: Instruction limit
% 0.84/0.38 % (518157)Termination phase: Saturation
% 0.84/0.38 % (518157)Time elapsed: 0.004 s
% 0.84/0.38 % (518157)Peak memory usage: 12 MB
% 0.84/0.38 % (518157)Instructions burned: 7 (million)
% 0.84/0.38 % (518146)Instruction limit reached!
% 0.84/0.38 % (518146)------------------------------
% 0.84/0.38 % (518146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.38 % (518146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.38 % (518146)CaDiCaL version: 2.1.3
% 0.84/0.38 % (518146)Termination reason: Instruction limit
% 0.84/0.38 % (518146)Termination phase: Saturation
% 0.84/0.38 % (518146)Time elapsed: 0.036 s
% 0.84/0.38 % (518146)Peak memory usage: 12 MB
% 0.84/0.38 % (518146)Instructions burned: 75 (million)
% 0.84/0.38 % (518141)Instruction limit reached!
% 0.84/0.38 % (518141)------------------------------
% 0.84/0.38 % (518141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.38 % (518141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.38 % (518141)CaDiCaL version: 2.1.3
% 0.84/0.38 % (518141)Termination reason: Instruction limit
% 0.84/0.38 % (518141)Termination phase: Saturation
% 0.84/0.38 % (518141)Time elapsed: 0.037 s
% 0.84/0.38 % (518141)Peak memory usage: 12 MB
% 0.84/0.38 % (518141)Instructions burned: 87 (million)
% 0.84/0.38 % (518159)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=756500049:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.84/0.38 % (518162)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
% 0.84/0.38 % (518162)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.84/0.38 % (518162)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3294466795:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.84/0.38 % (518159)Instruction limit reached!
% 0.84/0.38 % (518159)------------------------------
% 0.84/0.38 % (518159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.38 % (518159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.38 % (518159)CaDiCaL version: 2.1.3
% 0.84/0.38 % (518159)Termination reason: Instruction limit
% 0.84/0.38 % (518159)Termination phase: Saturation
% 0.84/0.38 % (518159)Time elapsed: 0.007 s
% 0.84/0.38 % (518159)Peak memory usage: 12 MB
% 0.84/0.38 % (518159)Instructions burned: 12 (million)
% 0.84/0.38 % (518165)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.84/0.38 % (518165)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=253344196:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.84/0.38 % (518163)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=3358082146:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.84/0.40 % (518164)lrs+10_1_si=on:cs=on:random_seed=3304336734:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.84/0.40 % (518165)Instruction limit reached!
% 0.84/0.40 % (518165)------------------------------
% 0.84/0.40 % (518165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.40 % (518165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.40 % (518165)CaDiCaL version: 2.1.3
% 0.84/0.40 % (518165)Termination reason: Instruction limit
% 0.84/0.40 % (518165)Termination phase: Saturation
% 0.84/0.40 % (518165)Time elapsed: 0.002 s
% 0.84/0.40 % (518165)Peak memory usage: 11 MB
% 0.84/0.40 % (518165)Instructions burned: 4 (million)
% 0.84/0.40 % (518164)Instruction limit reached!
% 0.84/0.40 % (518164)------------------------------
% 0.84/0.40 % (518164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.40 % (518164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.40 % (518164)CaDiCaL version: 2.1.3
% 0.84/0.40 % (518164)Termination reason: Instruction limit
% 0.84/0.40 % (518164)Termination phase: Saturation
% 0.84/0.40 % (518164)Time elapsed: 0.006 s
% 0.84/0.40 % (518164)Peak memory usage: 12 MB
% 0.84/0.40 % (518164)Instructions burned: 11 (million)
% 0.84/0.40 % (518162)Instruction limit reached!
% 0.84/0.40 % (518162)------------------------------
% 0.84/0.40 % (518162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.40 % (518162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.40 % (518162)CaDiCaL version: 2.1.3
% 0.84/0.40 % (518162)Termination reason: Instruction limit
% 0.84/0.40 % (518162)Termination phase: Saturation
% 0.84/0.40 % (518162)Time elapsed: 0.015 s
% 0.84/0.40 % (518162)Peak memory usage: 12 MB
% 0.84/0.40 % (518162)Instructions burned: 29 (million)
% 0.84/0.40 % (518147)Instruction limit reached!
% 0.84/0.40 % (518147)------------------------------
% 0.84/0.40 % (518147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.40 % (518147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.40 % (518147)CaDiCaL version: 2.1.3
% 0.84/0.40 % (518147)Termination reason: Instruction limit
% 0.84/0.40 % (518147)Termination phase: Saturation
% 0.84/0.40 % (518147)Time elapsed: 0.067 s
% 0.84/0.40 % (518147)Peak memory usage: 12 MB
% 0.84/0.40 % (518147)Instructions burned: 159 (million)
% 0.84/0.40 % (518168)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3844159438:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.84/0.40 % (518168)Refutation not found, incomplete strategy
% 0.84/0.40 % (518168)------------------------------
% 0.84/0.40 % (518168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.40 % (518168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.40 % (518168)CaDiCaL version: 2.1.3
% 0.84/0.40 % (518168)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.40 % (518168)Time elapsed: 0.001 s
% 0.84/0.40 % (518168)Peak memory usage: 12 MB
% 0.84/0.40 % (518168)------------------------------
% 0.84/0.40 % (518168)------------------------------
% 0.84/0.40 % (518172)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4091865825:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.84/0.40 % (518172)Refutation not found, incomplete strategy
% 0.84/0.40 % (518172)------------------------------
% 0.84/0.40 % (518172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.40 % (518172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.40 % (518172)CaDiCaL version: 2.1.3
% 0.84/0.40 % (518172)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.40 % (518172)Time elapsed: 0.001 s
% 0.84/0.40 % (518172)Peak memory usage: 12 MB
% 0.84/0.40 % (518172)------------------------------
% 0.84/0.40 % (518172)------------------------------
% 0.84/0.40 % (518173)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2863411027:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.84/0.40 % (518173)Refutation not found, incomplete strategy
% 0.84/0.40 % (518173)------------------------------
% 0.84/0.40 % (518173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.40 % (518173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (518173)CaDiCaL version: 2.1.3
% 0.84/0.42 % (518173)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.42 % (518173)Time elapsed: 0.001 s
% 0.84/0.42 % (518173)Peak memory usage: 12 MB
% 0.84/0.42 % (518173)------------------------------
% 0.84/0.42 % (518173)------------------------------
% 0.84/0.42 % (518174)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1370120108:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.84/0.42 % (518175)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=16066080:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.84/0.42 % (518175)Refutation not found, incomplete strategy
% 0.84/0.42 % (518175)------------------------------
% 0.84/0.42 % (518175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (518175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (518175)CaDiCaL version: 2.1.3
% 0.84/0.42 % (518175)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.42 % (518175)Time elapsed: 0.001 s
% 0.84/0.42 % (518175)Peak memory usage: 12 MB
% 0.84/0.42 % (518175)------------------------------
% 0.84/0.42 % (518175)------------------------------
% 0.84/0.42 % (518177)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=993627882:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.84/0.42 % (518174)Instruction limit reached!
% 0.84/0.42 % (518174)------------------------------
% 0.84/0.42 % (518174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (518174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (518174)CaDiCaL version: 2.1.3
% 0.84/0.42 % (518174)Termination reason: Instruction limit
% 0.84/0.42 % (518174)Termination phase: Saturation
% 0.84/0.42 % (518174)Time elapsed: 0.009 s
% 0.84/0.42 % (518174)Peak memory usage: 12 MB
% 0.84/0.42 % (518174)Instructions burned: 14 (million)
% 0.84/0.42 % (518179)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1629499532:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.84/0.42 % (518163)Instruction limit reached!
% 0.84/0.42 % (518163)------------------------------
% 0.84/0.42 % (518163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (518163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (518163)CaDiCaL version: 2.1.3
% 0.84/0.42 % (518163)Termination reason: Instruction limit
% 0.84/0.42 % (518163)Termination phase: Saturation
% 0.84/0.42 % (518163)Time elapsed: 0.041 s
% 0.84/0.42 % (518163)Peak memory usage: 12 MB
% 0.84/0.42 % (518163)Instructions burned: 87 (million)
% 0.84/0.42 % (518179)Refutation not found, incomplete strategy
% 0.84/0.42 % (518179)------------------------------
% 0.84/0.42 % (518179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (518179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (518179)CaDiCaL version: 2.1.3
% 0.84/0.42 % (518179)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.42 % (518179)Time elapsed: 0.0000 s
% 0.84/0.42 % (518179)Peak memory usage: 11 MB
% 0.84/0.42 % (518179)------------------------------
% 0.84/0.42 % (518179)------------------------------
% 0.84/0.42 % (518177)Instruction limit reached!
% 0.84/0.42 % (518177)------------------------------
% 0.84/0.42 % (518177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (518177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (518177)CaDiCaL version: 2.1.3
% 0.84/0.42 % (518177)Termination reason: Instruction limit
% 0.84/0.42 % (518177)Termination phase: Saturation
% 0.84/0.42 % (518177)Time elapsed: 0.008 s
% 0.84/0.42 % (518177)Peak memory usage: 12 MB
% 0.84/0.42 % (518177)Instructions burned: 15 (million)
% 0.84/0.42 % (518181)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=855835044:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.84/0.42 % (518184)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=490523459:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.84/0.42 % (518144)Instruction limit reached!
% 0.84/0.42 % (518144)------------------------------
% 0.84/0.45 % (518144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.45 % (518144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.45 % (518144)CaDiCaL version: 2.1.3
% 0.84/0.45 % (518144)Termination reason: Instruction limit
% 0.84/0.45 % (518144)Termination phase: Saturation
% 0.84/0.45 % (518144)Time elapsed: 0.118 s
% 0.84/0.45 % (518144)Peak memory usage: 13 MB
% 0.84/0.45 % (518144)Instructions burned: 635 (million)
% 0.84/0.45 % (518188)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
% 0.84/0.45 % (518188)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.84/0.45 % (518186)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=223223436:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.84/0.45 % (518189)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.84/0.45 % (518181)Instruction limit reached!
% 0.84/0.45 % (518181)------------------------------
% 0.84/0.45 % (518181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.45 % (518181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.45 % (518181)CaDiCaL version: 2.1.3
% 0.84/0.45 % (518181)Termination reason: Instruction limit
% 0.84/0.45 % (518181)Termination phase: Saturation
% 0.84/0.45 % (518181)Time elapsed: 0.014 s
% 0.84/0.45 % (518181)Peak memory usage: 12 MB
% 0.84/0.45 % (518181)Instructions burned: 26 (million)
% 0.84/0.45 % (518188)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=4185459033:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.84/0.45 % (518189)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=1848528615:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.84/0.45 % (518190)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=3417255147:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.84/0.45 % (518184)Instruction limit reached!
% 0.84/0.45 % (518184)------------------------------
% 0.84/0.45 % (518184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.45 % (518184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.45 % (518184)CaDiCaL version: 2.1.3
% 0.84/0.45 % (518184)Termination reason: Instruction limit
% 0.84/0.45 % (518184)Termination phase: Saturation
% 0.84/0.45 % (518184)Time elapsed: 0.010 s
% 0.84/0.45 % (518184)Peak memory usage: 12 MB
% 0.84/0.45 % (518184)Instructions burned: 23 (million)
% 0.84/0.45 % (518189)Instruction limit reached!
% 0.84/0.45 % (518189)------------------------------
% 0.84/0.45 % (518189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.45 % (518189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.45 % (518189)CaDiCaL version: 2.1.3
% 0.84/0.45 % (518189)Termination reason: Instruction limit
% 0.84/0.45 % (518189)Termination phase: Saturation
% 0.84/0.45 % (518189)Time elapsed: 0.005 s
% 0.84/0.45 % (518189)Peak memory usage: 12 MB
% 0.84/0.45 % (518189)Instructions burned: 8 (million)
% 0.84/0.45 % (518188)Instruction limit reached!
% 0.84/0.45 % (518188)------------------------------
% 0.84/0.45 % (518188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.45 % (518188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.45 % (518188)CaDiCaL version: 2.1.3
% 0.84/0.45 % (518188)Termination reason: Instruction limit
% 0.84/0.45 % (518188)Termination phase: Saturation
% 0.84/0.45 % (518188)Time elapsed: 0.009 s
% 0.84/0.45 % (518188)Peak memory usage: 12 MB
% 0.84/0.45 % (518188)Instructions burned: 15 (million)
% 0.84/0.45 % (518193)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=889272780:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.84/0.45 % (518196)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4000866178:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.58/0.49 % (518193)Instruction limit reached!
% 1.58/0.49 % (518193)------------------------------
% 1.58/0.49 % (518193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.49 % (518193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.49 % (518193)CaDiCaL version: 2.1.3
% 1.58/0.49 % (518193)Termination reason: Instruction limit
% 1.58/0.49 % (518193)Termination phase: Saturation
% 1.58/0.49 % (518193)Time elapsed: 0.005 s
% 1.58/0.49 % (518193)Peak memory usage: 12 MB
% 1.58/0.49 % (518193)Instructions burned: 9 (million)
% 1.58/0.49 % (518190)Instruction limit reached!
% 1.58/0.49 % (518190)------------------------------
% 1.58/0.49 % (518190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.49 % (518190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.49 % (518190)CaDiCaL version: 2.1.3
% 1.58/0.49 % (518190)Termination reason: Instruction limit
% 1.58/0.49 % (518190)Termination phase: Saturation
% 1.58/0.49 % (518190)Time elapsed: 0.017 s
% 1.58/0.49 % (518190)Peak memory usage: 12 MB
% 1.58/0.49 % (518190)Instructions burned: 32 (million)
% 1.58/0.49 % (518199)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2870150402:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.58/0.49 % (518186)Instruction limit reached!
% 1.58/0.49 % (518186)------------------------------
% 1.58/0.49 % (518186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.49 % (518186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.49 % (518186)CaDiCaL version: 2.1.3
% 1.58/0.49 % (518186)Termination reason: Instruction limit
% 1.58/0.49 % (518186)Termination phase: Saturation
% 1.58/0.49 % (518186)Time elapsed: 0.024 s
% 1.58/0.49 % (518186)Peak memory usage: 12 MB
% 1.58/0.49 % (518186)Instructions burned: 61 (million)
% 1.58/0.49 % (518200)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1520330922:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.58/0.49 % (518201)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2161018601:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.58/0.49 % (518196)Instruction limit reached!
% 1.58/0.49 % (518196)------------------------------
% 1.58/0.49 % (518196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.49 % (518196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.49 % (518196)CaDiCaL version: 2.1.3
% 1.58/0.49 % (518196)Termination reason: Instruction limit
% 1.58/0.49 % (518196)Termination phase: Saturation
% 1.58/0.49 % (518196)Time elapsed: 0.010 s
% 1.58/0.49 % (518196)Peak memory usage: 12 MB
% 1.58/0.49 % (518196)Instructions burned: 23 (million)
% 1.58/0.49 % (518199)Instruction limit reached!
% 1.58/0.49 % (518199)------------------------------
% 1.58/0.49 % (518199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.49 % (518199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.49 % (518199)CaDiCaL version: 2.1.3
% 1.58/0.49 % (518199)Termination reason: Instruction limit
% 1.58/0.49 % (518199)Termination phase: Saturation
% 1.58/0.49 % (518199)Time elapsed: 0.011 s
% 1.58/0.49 % (518199)Peak memory usage: 12 MB
% 1.58/0.49 % (518199)Instructions burned: 21 (million)
% 1.58/0.49 % (518207)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.58/0.49 % (518205)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1968572828:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.58/0.49 % (518204)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1386901907:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.58/0.49 % (518204)Refutation not found, incomplete strategy
% 1.58/0.49 % (518204)------------------------------
% 1.58/0.49 % (518204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.49 % (518204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.49 % (518204)CaDiCaL version: 2.1.3
% 1.58/0.49 % (518204)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.49 % (518204)Time elapsed: 0.001 s
% 1.58/0.49 % (518204)Peak memory usage: 11 MB
% 1.58/0.49 % (518204)------------------------------
% 1.58/0.56 % (518204)------------------------------
% 1.58/0.56 % (518207)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1149635784:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.58/0.56 % (518207)Instruction limit reached!
% 1.58/0.56 % (518207)------------------------------
% 1.58/0.56 % (518207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.56 % (518207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.56 % (518207)CaDiCaL version: 2.1.3
% 1.58/0.56 % (518207)Termination reason: Instruction limit
% 1.58/0.56 % (518207)Termination phase: Saturation
% 1.58/0.56 % (518207)Time elapsed: 0.005 s
% 1.58/0.56 % (518207)Peak memory usage: 12 MB
% 1.58/0.56 % (518207)Instructions burned: 9 (million)
% 1.58/0.56 % (518210)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3792674388:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.58/0.56 % (518210)Refutation not found, incomplete strategy
% 1.58/0.56 % (518210)------------------------------
% 1.58/0.56 % (518210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.56 % (518210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.56 % (518210)CaDiCaL version: 2.1.3
% 1.58/0.56 % (518210)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.56 % (518210)Time elapsed: 0.0000 s
% 1.58/0.56 % (518210)Peak memory usage: 11 MB
% 1.58/0.56 % (518210)------------------------------
% 1.58/0.56 % (518210)------------------------------
% 1.58/0.56 % (518211)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=3895298786: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)
% 1.58/0.56 % (518214)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.58/0.56 % (518211)Refutation not found, incomplete strategy
% 1.58/0.56 % (518211)------------------------------
% 1.58/0.56 % (518211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.56 % (518211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.56 % (518211)CaDiCaL version: 2.1.3
% 1.58/0.56 % (518211)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.56 % (518211)Time elapsed: 0.0000 s
% 1.58/0.56 % (518211)Peak memory usage: 11 MB
% 1.58/0.56 % (518211)------------------------------
% 1.58/0.56 % (518211)------------------------------
% 1.58/0.56 % (518214)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1763377092:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.58/0.56 % (518214)Refutation not found, incomplete strategy
% 1.58/0.56 % (518214)------------------------------
% 1.58/0.56 % (518214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.56 % (518214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.56 % (518214)CaDiCaL version: 2.1.3
% 1.58/0.56 % (518214)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.56 % (518214)Time elapsed: 0.0000 s
% 1.58/0.56 % (518214)Peak memory usage: 11 MB
% 1.58/0.56 % (518214)Instructions burned: 1 (million)
% 1.58/0.56 % (518214)------------------------------
% 1.58/0.56 % (518214)------------------------------
% 1.58/0.56 % (518205)Instruction limit reached!
% 1.58/0.56 % (518205)------------------------------
% 1.58/0.56 % (518205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.56 % (518205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.56 % (518205)CaDiCaL version: 2.1.3
% 1.58/0.56 % (518205)Termination reason: Instruction limit
% 1.58/0.56 % (518205)Termination phase: Saturation
% 1.58/0.56 % (518205)Time elapsed: 0.020 s
% 1.58/0.56 % (518205)Peak memory usage: 12 MB
% 1.58/0.56 % (518205)Instructions burned: 43 (million)
% 1.58/0.56 % (518222)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=3788913832:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 1.58/0.56 % (518216)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=36382266:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 2.28/0.61 % (518218)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3933205520:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 2.28/0.61 % (518218)Refutation not found, incomplete strategy
% 2.28/0.61 % (518218)------------------------------
% 2.28/0.61 % (518218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.61 % (518218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.61 % (518218)CaDiCaL version: 2.1.3
% 2.28/0.61 % (518218)Termination reason: Refutation not found, incomplete strategy
% 2.28/0.61 % (518218)Time elapsed: 0.002 s
% 2.28/0.61 % (518218)Peak memory usage: 12 MB
% 2.28/0.61 % (518218)Instructions burned: 2 (million)
% 2.28/0.61 % (518218)------------------------------
% 2.28/0.61 % (518218)------------------------------
% 2.28/0.61 % (518220)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=1379721331:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 2.28/0.61 % (518223)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=935827305: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)
% 2.28/0.61 % (518216)Instruction limit reached!
% 2.28/0.61 % (518216)------------------------------
% 2.28/0.61 % (518216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.61 % (518216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.61 % (518216)CaDiCaL version: 2.1.3
% 2.28/0.61 % (518216)Termination reason: Instruction limit
% 2.28/0.61 % (518216)Termination phase: Saturation
% 2.28/0.61 % (518216)Time elapsed: 0.011 s
% 2.28/0.61 % (518216)Peak memory usage: 12 MB
% 2.28/0.61 % (518216)Instructions burned: 23 (million)
% 2.28/0.61 % (518201)Instruction limit reached!
% 2.28/0.61 % (518201)------------------------------
% 2.28/0.61 % (518201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.61 % (518201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.61 % (518201)CaDiCaL version: 2.1.3
% 2.28/0.61 % (518201)Termination reason: Instruction limit
% 2.28/0.61 % (518201)Termination phase: Saturation
% 2.28/0.61 % (518201)Time elapsed: 0.059 s
% 2.28/0.61 % (518201)Peak memory usage: 13 MB
% 2.28/0.61 % (518201)Instructions burned: 144 (million)
% 2.28/0.61 % (518228)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3664140800:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.28/0.61 % (518228)Refutation not found, incomplete strategy
% 2.28/0.61 % (518228)------------------------------
% 2.28/0.61 % (518228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.61 % (518228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.61 % (518228)CaDiCaL version: 2.1.3
% 2.28/0.61 % (518228)Termination reason: Refutation not found, incomplete strategy
% 2.28/0.61 % (518228)Time elapsed: 0.001 s
% 2.28/0.61 % (518228)Peak memory usage: 12 MB
% 2.28/0.61 % (518228)Instructions burned: 1 (million)
% 2.28/0.61 % (518228)------------------------------
% 2.28/0.61 % (518228)------------------------------
% 2.28/0.61 % (518230)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=503229176: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)
% 2.28/0.61 % (518223)Instruction limit reached!
% 2.28/0.61 % (518223)------------------------------
% 2.28/0.61 % (518223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.61 % (518223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.61 % (518223)CaDiCaL version: 2.1.3
% 2.28/0.61 % (518231)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.28/0.61 % (518223)Termination reason: Instruction limit
% 2.28/0.61 % (518223)Termination phase: Saturation
% 2.28/0.61 % (518223)Time elapsed: 0.026 s
% 2.28/0.61 % (518223)Peak memory usage: 12 MB
% 2.28/0.61 % (518223)Instructions burned: 45 (million)
% 2.28/0.61 % (518231)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=599431275:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.66/0.64 % (518230)Instruction limit reached!
% 2.66/0.64 % (518230)------------------------------
% 2.66/0.64 % (518230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.64 % (518230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.64 % (518230)CaDiCaL version: 2.1.3
% 2.66/0.64 % (518230)Termination reason: Instruction limit
% 2.66/0.64 % (518230)Termination phase: Saturation
% 2.66/0.64 % (518230)Time elapsed: 0.012 s
% 2.66/0.64 % (518230)Peak memory usage: 12 MB
% 2.66/0.64 % (518230)Instructions burned: 22 (million)
% 2.66/0.64 % (518233)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1940706972:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.66/0.64 % (518233)Instruction limit reached!
% 2.66/0.64 % (518233)------------------------------
% 2.66/0.64 % (518233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.64 % (518233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.64 % (518233)CaDiCaL version: 2.1.3
% 2.66/0.64 % (518233)Termination reason: Instruction limit
% 2.66/0.64 % (518233)Termination phase: Saturation
% 2.66/0.64 % (518233)Time elapsed: 0.007 s
% 2.66/0.64 % (518233)Peak memory usage: 12 MB
% 2.66/0.64 % (518233)Instructions burned: 13 (million)
% 2.66/0.64 % (518235)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=856081902:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.66/0.64 % (518237)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3143306186:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.66/0.64 % (518237)Refutation not found, incomplete strategy
% 2.66/0.64 % (518237)------------------------------
% 2.66/0.64 % (518237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.64 % (518237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.64 % (518237)CaDiCaL version: 2.1.3
% 2.66/0.64 % (518237)Termination reason: Refutation not found, incomplete strategy
% 2.66/0.64 % (518237)Time elapsed: 0.001 s
% 2.66/0.64 % (518237)Peak memory usage: 12 MB
% 2.66/0.64 % (518237)Instructions burned: 1 (million)
% 2.66/0.64 % (518237)------------------------------
% 2.66/0.64 % (518237)------------------------------
% 2.66/0.64 % (518239)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2298058875:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.66/0.64 % (518242)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=4117080172:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.66/0.64 % (518235)Instruction limit reached!
% 2.66/0.64 % (518235)------------------------------
% 2.66/0.64 % (518235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.64 % (518235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.64 % (518235)CaDiCaL version: 2.1.3
% 2.66/0.64 % (518235)Termination reason: Instruction limit
% 2.66/0.64 % (518235)Termination phase: Saturation
% 2.66/0.64 % (518235)Time elapsed: 0.032 s
% 2.66/0.64 % (518235)Peak memory usage: 13 MB
% 2.66/0.64 % (518235)Instructions burned: 68 (million)
% 2.66/0.64 % (518239)Instruction limit reached!
% 2.66/0.64 % (518239)------------------------------
% 2.66/0.64 % (518239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.64 % (518239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.64 % (518239)CaDiCaL version: 2.1.3
% 2.66/0.64 % (518239)Termination reason: Instruction limit
% 2.66/0.64 % (518239)Termination phase: Saturation
% 2.66/0.64 % (518239)Time elapsed: 0.017 s
% 2.66/0.64 % (518239)Peak memory usage: 12 MB
% 2.66/0.64 % (518239)Instructions burned: 32 (million)
% 2.66/0.64 % (518245)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=2266069200:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 2.66/0.64 % (518246)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2054304298:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 2.66/0.64 % (518246)Refutation not found, incomplete strategy
% 2.66/0.68 % (518246)------------------------------
% 2.66/0.68 % (518246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.68 % (518246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.68 % (518246)CaDiCaL version: 2.1.3
% 2.66/0.68 % (518246)Termination reason: Refutation not found, incomplete strategy
% 2.66/0.68 % (518246)Time elapsed: 0.001 s
% 2.66/0.68 % (518246)Peak memory usage: 12 MB
% 2.66/0.68 % (518246)Instructions burned: 1 (million)
% 2.66/0.68 % (518246)------------------------------
% 2.66/0.68 % (518246)------------------------------
% 2.66/0.68 % (518231)Instruction limit reached!
% 2.66/0.68 % (518231)------------------------------
% 2.66/0.68 % (518231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.68 % (518231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.68 % (518231)CaDiCaL version: 2.1.3
% 2.66/0.68 % (518231)Termination reason: Instruction limit
% 2.66/0.68 % (518231)Termination phase: Saturation
% 2.66/0.68 % (518231)Time elapsed: 0.076 s
% 2.66/0.68 % (518231)Peak memory usage: 12 MB
% 2.66/0.68 % (518231)Instructions burned: 202 (million)
% 2.66/0.68 % (518245)Instruction limit reached!
% 2.66/0.68 % (518245)------------------------------
% 2.66/0.68 % (518245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.68 % (518245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.68 % (518245)CaDiCaL version: 2.1.3
% 2.66/0.68 % (518245)Termination reason: Instruction limit
% 2.66/0.68 % (518245)Termination phase: Saturation
% 2.66/0.68 % (518245)Time elapsed: 0.018 s
% 2.66/0.68 % (518245)Peak memory usage: 12 MB
% 2.66/0.68 % (518245)Instructions burned: 35 (million)
% 2.66/0.68 % (518249)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.66/0.68 % (518249)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3038051060:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 2.66/0.68 % (518250)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=849602489:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.66/0.68 % (518250)Refutation not found, incomplete strategy
% 2.66/0.68 % (518250)------------------------------
% 2.66/0.68 % (518250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.68 % (518250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.68 % (518250)CaDiCaL version: 2.1.3
% 2.66/0.68 % (518250)Termination reason: Refutation not found, incomplete strategy
% 2.66/0.68 % (518250)Time elapsed: 0.001 s
% 2.66/0.68 % (518250)Peak memory usage: 11 MB
% 2.66/0.68 % (518250)------------------------------
% 2.66/0.68 % (518250)------------------------------
% 2.66/0.68 % (518242)Instruction limit reached!
% 2.66/0.68 % (518242)------------------------------
% 2.66/0.68 % (518242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.68 % (518242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.68 % (518242)CaDiCaL version: 2.1.3
% 2.66/0.68 % (518242)Termination reason: Instruction limit
% 2.66/0.68 % (518242)Termination phase: Saturation
% 2.66/0.68 % (518242)Time elapsed: 0.055 s
% 2.66/0.68 % (518242)Peak memory usage: 12 MB
% 2.66/0.68 % (518242)Instructions burned: 140 (million)
% 2.66/0.68 % (518251)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3924522584:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.66/0.68 % (518254)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1096114942:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 2.66/0.68 % (518254)Refutation not found, incomplete strategy
% 2.66/0.68 % (518254)------------------------------
% 2.66/0.68 % (518254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.66/0.68 % (518254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/0.68 % (518254)CaDiCaL version: 2.1.3
% 2.66/0.68 % (518254)Termination reason: Refutation not found, incomplete strategy
% 2.66/0.68 % (518254)Time elapsed: 0.001 s
% 2.66/0.68 % (518254)Peak memory usage: 11 MB
% 2.66/0.68 % (518255)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1502043486:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 2.66/0.68 % (518254)------------------------------
% 2.66/0.68 % (518254)------------------------------
% 3.15/0.73 % (518255)Refutation not found, incomplete strategy
% 3.15/0.73 % (518255)------------------------------
% 3.15/0.73 % (518255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.73 % (518255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.73 % (518255)CaDiCaL version: 2.1.3
% 3.15/0.73 % (518255)Termination reason: Refutation not found, incomplete strategy
% 3.15/0.73 % (518255)Time elapsed: 0.001 s
% 3.15/0.73 % (518255)Peak memory usage: 11 MB
% 3.15/0.73 % (518255)------------------------------
% 3.15/0.73 % (518255)------------------------------
% 3.15/0.73 % (518222)Instruction limit reached!
% 3.15/0.73 % (518222)------------------------------
% 3.15/0.73 % (518222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.73 % (518222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.73 % (518222)CaDiCaL version: 2.1.3
% 3.15/0.73 % (518222)Termination reason: Instruction limit
% 3.15/0.73 % (518222)Termination phase: Saturation
% 3.15/0.73 % (518222)Time elapsed: 0.164 s
% 3.15/0.73 % (518222)Peak memory usage: 13 MB
% 3.15/0.73 % (518222)Instructions burned: 853 (million)
% 3.15/0.73 % (518220)Instruction limit reached!
% 3.15/0.73 % (518220)------------------------------
% 3.15/0.73 % (518220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.73 % (518220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.73 % (518220)CaDiCaL version: 2.1.3
% 3.15/0.73 % (518220)Termination reason: Instruction limit
% 3.15/0.73 % (518220)Termination phase: Saturation
% 3.15/0.73 % (518220)Time elapsed: 0.162 s
% 3.15/0.73 % (518220)Peak memory usage: 14 MB
% 3.15/0.73 % (518220)Instructions burned: 316 (million)
% 3.15/0.73 % (518261)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=376426077:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 3.15/0.73 % (518259)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2936521784:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 3.15/0.73 % (518259)Refutation not found, incomplete strategy
% 3.15/0.73 % (518259)------------------------------
% 3.15/0.73 % (518259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.73 % (518259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.73 % (518260)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=744366017:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 3.15/0.73 % (518259)CaDiCaL version: 2.1.3
% 3.15/0.73 % (518259)Termination reason: Refutation not found, incomplete strategy
% 3.15/0.73 % (518259)Time elapsed: 0.001 s
% 3.15/0.73 % (518259)Peak memory usage: 12 MB
% 3.15/0.73 % (518259)------------------------------
% 3.15/0.73 % (518259)------------------------------
% 3.15/0.73 % (518260)Refutation not found, incomplete strategy
% 3.15/0.73 % (518260)------------------------------
% 3.15/0.73 % (518260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.73 % (518260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.73 % (518260)CaDiCaL version: 2.1.3
% 3.15/0.73 % (518260)Termination reason: Refutation not found, incomplete strategy
% 3.15/0.73 % (518260)Time elapsed: 0.001 s
% 3.15/0.73 % (518260)Peak memory usage: 11 MB
% 3.15/0.73 % (518260)Instructions burned: 1 (million)
% 3.15/0.73 % (518260)------------------------------
% 3.15/0.73 % (518260)------------------------------
% 3.15/0.73 % (518261)Instruction limit reached!
% 3.15/0.73 % (518261)------------------------------
% 3.15/0.73 % (518261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.73 % (518261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/0.73 % (518261)CaDiCaL version: 2.1.3
% 3.15/0.73 % (518261)Termination reason: Instruction limit
% 3.15/0.73 % (518261)Termination phase: Saturation
% 3.15/0.73 % (518261)Time elapsed: 0.012 s
% 3.15/0.73 % (518261)Peak memory usage: 12 MB
% 3.15/0.73 % (518261)Instructions burned: 46 (million)
% 3.15/0.73 % (518262)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3273932530:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 3.15/0.73 % (518262)Refutation not found, incomplete strategy
% 3.15/0.73 % (518262)------------------------------
% 3.15/0.73 % (518262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.15/0.73 % (518262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.81 % (518262)CaDiCaL version: 2.1.3
% 3.56/0.81 % (518262)Termination reason: Refutation not found, incomplete strategy
% 3.56/0.81 % (518262)Time elapsed: 0.001 s
% 3.56/0.81 % (518262)Peak memory usage: 12 MB
% 3.56/0.81 % (518262)Instructions burned: 1 (million)
% 3.56/0.81 % (518251)Instruction limit reached!
% 3.56/0.81 % (518251)------------------------------
% 3.56/0.81 % (518251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.81 % (518251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.81 % (518251)CaDiCaL version: 2.1.3
% 3.56/0.81 % (518251)Termination reason: Instruction limit
% 3.56/0.81 % (518251)Termination phase: Saturation
% 3.56/0.81 % (518251)Time elapsed: 0.045 s
% 3.56/0.81 % (518251)Peak memory usage: 12 MB
% 3.56/0.81 % (518251)Instructions burned: 98 (million)
% 3.56/0.81 % (518262)------------------------------
% 3.56/0.81 % (518262)------------------------------
% 3.56/0.81 % (518269)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=263038359:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2996 on theBenchmark for (2996ds/65Mi)
% 3.56/0.81 % (518266)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=188865834:i=450:rtra=on:ixr=off:ntd=on_2996 on theBenchmark for (2996ds/450Mi)
% 3.56/0.81 % (518267)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1041528038:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/95Mi)
% 3.56/0.81 % (518270)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=1785184022: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_2996 on theBenchmark for (2996ds/105Mi)
% 3.56/0.81 % (518271)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=153684074:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2996 on theBenchmark for (2996ds/5755Mi)
% 3.56/0.81 % (518271)Refutation not found, incomplete strategy
% 3.56/0.81 % (518271)------------------------------
% 3.56/0.81 % (518271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.81 % (518271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.81 % (518271)CaDiCaL version: 2.1.3
% 3.56/0.81 % (518271)Termination reason: Refutation not found, incomplete strategy
% 3.56/0.81 % (518271)Time elapsed: 0.001 s
% 3.56/0.81 % (518271)Peak memory usage: 12 MB
% 3.56/0.81 % (518249)Instruction limit reached!
% 3.56/0.81 % (518249)------------------------------
% 3.56/0.81 % (518249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.81 % (518249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.81 % (518249)CaDiCaL version: 2.1.3
% 3.56/0.81 % (518249)Termination reason: Instruction limit
% 3.56/0.81 % (518249)Termination phase: Saturation
% 3.56/0.81 % (518249)Time elapsed: 0.080 s
% 3.56/0.81 % (518249)Peak memory usage: 12 MB
% 3.56/0.81 % (518249)Instructions burned: 180 (million)
% 3.56/0.81 % (518271)------------------------------
% 3.56/0.81 % (518271)------------------------------
% 3.56/0.81 % (518269)Instruction limit reached!
% 3.56/0.81 % (518269)------------------------------
% 3.56/0.81 % (518269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.81 % (518269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.81 % (518269)CaDiCaL version: 2.1.3
% 3.56/0.81 % (518269)Termination reason: Instruction limit
% 3.56/0.81 % (518269)Termination phase: Saturation
% 3.56/0.81 % (518269)Time elapsed: 0.017 s
% 3.56/0.81 % (518269)Peak memory usage: 12 MB
% 3.56/0.81 % (518269)Instructions burned: 66 (million)
% 3.56/0.81 % (518279)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=4163202532:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.56/0.81 % (518277)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3775553355:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.56/0.81 % (518278)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3085422376:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 3.56/0.90 % (518277)Refutation not found, incomplete strategy
% 3.56/0.90 % (518277)------------------------------
% 3.56/0.90 % (518277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.90 % (518277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.90 % (518277)CaDiCaL version: 2.1.3
% 3.56/0.90 % (518277)Termination reason: Refutation not found, incomplete strategy
% 3.56/0.90 % (518277)Time elapsed: 0.0000 s
% 3.56/0.90 % (518277)Peak memory usage: 11 MB
% 3.56/0.90 % (518277)------------------------------
% 3.56/0.90 % (518277)------------------------------
% 3.56/0.90 % (518279)Instruction limit reached!
% 3.56/0.90 % (518279)------------------------------
% 3.56/0.90 % (518279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.90 % (518279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.90 % (518279)CaDiCaL version: 2.1.3
% 3.56/0.90 % (518279)Termination reason: Instruction limit
% 3.56/0.90 % (518279)Termination phase: Saturation
% 3.56/0.90 % (518279)Time elapsed: 0.010 s
% 3.56/0.90 % (518279)Peak memory usage: 12 MB
% 3.56/0.90 % (518279)Instructions burned: 39 (million)
% 3.56/0.90 % (518267)Instruction limit reached!
% 3.56/0.90 % (518267)------------------------------
% 3.56/0.90 % (518267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.90 % (518267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.90 % (518267)CaDiCaL version: 2.1.3
% 3.56/0.90 % (518267)Termination reason: Instruction limit
% 3.56/0.90 % (518267)Termination phase: Saturation
% 3.56/0.90 % (518267)Time elapsed: 0.041 s
% 3.56/0.90 % (518267)Peak memory usage: 12 MB
% 3.56/0.90 % (518267)Instructions burned: 96 (million)
% 3.56/0.90 % (518284)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3796873297: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)
% 3.56/0.90 % (518284)Refutation not found, incomplete strategy
% 3.56/0.90 % (518284)------------------------------
% 3.56/0.90 % (518284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.90 % (518284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.90 % (518284)CaDiCaL version: 2.1.3
% 3.56/0.90 % (518284)Termination reason: Refutation not found, incomplete strategy
% 3.56/0.90 % (518284)Time elapsed: 0.0000 s
% 3.56/0.90 % (518284)Peak memory usage: 11 MB
% 3.56/0.90 % (518284)------------------------------
% 3.56/0.90 % (518284)------------------------------
% 3.56/0.90 % (518283)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2309223600:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 3.56/0.90 % (518287)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=1388247731:i=338:bd=all:ins=4:rtra=on_2995 on theBenchmark for (2995ds/338Mi)
% 3.56/0.90 % (518285)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=447344610:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 3.56/0.90 % (518270)Instruction limit reached!
% 3.56/0.90 % (518270)------------------------------
% 3.56/0.90 % (518270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.90 % (518270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.90 % (518270)CaDiCaL version: 2.1.3
% 3.56/0.90 % (518270)Termination reason: Instruction limit
% 3.56/0.90 % (518270)Termination phase: Saturation
% 3.56/0.90 % (518270)Time elapsed: 0.055 s
% 3.56/0.90 % (518270)Peak memory usage: 13 MB
% 3.56/0.90 % (518270)Instructions burned: 106 (million)
% 3.56/0.90 % (518285)Instruction limit reached!
% 3.56/0.90 % (518285)------------------------------
% 3.56/0.90 % (518285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.90 % (518285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.90 % (518285)CaDiCaL version: 2.1.3
% 3.56/0.90 % (518285)Termination reason: Instruction limit
% 3.56/0.90 % (518285)Termination phase: Saturation
% 3.56/0.90 % (518285)Time elapsed: 0.011 s
% 3.56/0.90 % (518285)Peak memory usage: 12 MB
% 3.56/0.90 % (518285)Instructions burned: 23 (million)
% 3.56/0.90 % (518291)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1200856339:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/28Mi)
% 4.01/0.95 % (518291)Refutation not found, incomplete strategy
% 4.01/0.95 % (518291)------------------------------
% 4.01/0.95 % (518291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/0.95 % (518291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/0.95 % (518291)CaDiCaL version: 2.1.3
% 4.01/0.95 % (518291)Termination reason: Refutation not found, incomplete strategy
% 4.01/0.95 % (518291)Time elapsed: 0.001 s
% 4.01/0.95 % (518291)Peak memory usage: 11 MB
% 4.01/0.95 % (518291)------------------------------
% 4.01/0.95 % (518291)------------------------------
% 4.01/0.95 % (518292)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 4.01/0.95 % (518283)Instruction limit reached!
% 4.01/0.95 % (518283)------------------------------
% 4.01/0.95 % (518283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/0.95 % (518283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/0.95 % (518292)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2171808672: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)
% 4.01/0.95 % (518283)CaDiCaL version: 2.1.3
% 4.01/0.95 % (518283)Termination reason: Instruction limit
% 4.01/0.95 % (518283)Termination phase: Saturation
% 4.01/0.95 % (518283)Time elapsed: 0.041 s
% 4.01/0.95 % (518283)Peak memory usage: 12 MB
% 4.01/0.95 % (518283)Instructions burned: 92 (million)
% 4.01/0.95 % (518294)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=4145718101:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2995 on theBenchmark for (2995ds/340Mi)
% 4.01/0.95 % (518296)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1433156249:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 4.01/0.95 % (518296)Refutation not found, incomplete strategy
% 4.01/0.95 % (518296)------------------------------
% 4.01/0.95 % (518296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/0.95 % (518296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/0.95 % (518296)CaDiCaL version: 2.1.3
% 4.01/0.95 % (518296)Termination reason: Refutation not found, incomplete strategy
% 4.01/0.95 % (518296)Time elapsed: 0.0000 s
% 4.01/0.95 % (518296)Peak memory usage: 11 MB
% 4.01/0.95 % (518296)------------------------------
% 4.01/0.95 % (518296)------------------------------
% 4.01/0.95 % (518299)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 4.01/0.95 % (518299)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=909984306:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 4.01/0.95 % (518287)Instruction limit reached!
% 4.01/0.95 % (518287)------------------------------
% 4.01/0.95 % (518287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/0.95 % (518287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/0.95 % (518287)CaDiCaL version: 2.1.3
% 4.01/0.95 % (518287)Termination reason: Instruction limit
% 4.01/0.95 % (518287)Termination phase: Saturation
% 4.01/0.95 % (518287)Time elapsed: 0.078 s
% 4.01/0.95 % (518287)Peak memory usage: 14 MB
% 4.01/0.95 % (518287)Instructions burned: 339 (million)
% 4.01/0.95 % (518301)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=254062220:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 4.01/0.95 % (518292)Instruction limit reached!
% 4.01/0.95 % (518292)------------------------------
% 4.01/0.95 % (518292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/0.95 % (518292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/0.95 % (518292)CaDiCaL version: 2.1.3
% 4.01/0.95 % (518292)Termination reason: Instruction limit
% 4.01/0.95 % (518292)Termination phase: Saturation
% 4.01/0.95 % (518292)Time elapsed: 0.061 s
% 4.01/0.95 % (518292)Peak memory usage: 13 MB
% 4.01/0.95 % (518292)Instructions burned: 137 (million)
% 4.01/0.95 % (518266)Instruction limit reached!
% 4.01/0.95 % (518266)------------------------------
% 4.01/0.95 % (518266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/0.98 % (518266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/0.98 % (518266)CaDiCaL version: 2.1.3
% 4.01/0.98 % (518266)Termination reason: Instruction limit
% 4.01/0.98 % (518266)Termination phase: Saturation
% 4.01/0.98 % (518266)Time elapsed: 0.161 s
% 4.01/0.98 % (518266)Peak memory usage: 12 MB
% 4.01/0.98 % (518266)Instructions burned: 451 (million)
% 4.01/0.98 % (518301)Instruction limit reached!
% 4.01/0.98 % (518301)------------------------------
% 4.01/0.98 % (518301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/0.98 % (518301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/0.98 % (518301)CaDiCaL version: 2.1.3
% 4.01/0.98 % (518301)Termination reason: Instruction limit
% 4.01/0.98 % (518301)Termination phase: Saturation
% 4.01/0.98 % (518301)Time elapsed: 0.025 s
% 4.01/0.98 % (518301)Peak memory usage: 12 MB
% 4.01/0.98 % (518301)Instructions burned: 117 (million)
% 4.01/0.98 % (518303)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2359879403:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 4.01/0.98 % (518303)Refutation not found, incomplete strategy
% 4.01/0.98 % (518303)------------------------------
% 4.01/0.98 % (518303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/0.98 % (518303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/0.98 % (518303)CaDiCaL version: 2.1.3
% 4.01/0.98 % (518303)Termination reason: Refutation not found, incomplete strategy
% 4.01/0.98 % (518303)Time elapsed: 0.001 s
% 4.01/0.98 % (518303)Peak memory usage: 12 MB
% 4.01/0.98 % (518303)Instructions burned: 1 (million)
% 4.01/0.98 % (518303)------------------------------
% 4.01/0.98 % (518303)------------------------------
% 4.01/0.98 % (518304)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2056942909: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)
% 4.01/0.98 % (518306)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=1489197958: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)
% 4.01/0.98 % (518307)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3642337590:i=421:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/421Mi)
% 4.01/0.98 % (518307)Refutation not found, incomplete strategy
% 4.01/0.98 % (518307)------------------------------
% 4.01/0.98 % (518307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/0.98 % (518307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/0.98 % (518307)CaDiCaL version: 2.1.3
% 4.01/0.98 % (518307)Termination reason: Refutation not found, incomplete strategy
% 4.01/0.98 % (518307)Time elapsed: 0.001 s
% 4.01/0.98 % (518307)Peak memory usage: 11 MB
% 4.01/0.98 % (518307)------------------------------
% 4.01/0.98 % (518307)------------------------------
% 4.01/0.98 % (518311)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
% 4.01/0.98 % (518200)Instruction limit reached!
% 4.01/0.98 % (518200)------------------------------
% 4.01/0.98 % (518200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.01/0.98 % (518200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/0.98 % (518200)CaDiCaL version: 2.1.3
% 4.01/0.98 % (518200)Termination reason: Instruction limit
% 4.01/0.98 % (518200)Termination phase: Saturation
% 4.01/0.98 % (518200)Time elapsed: 0.452 s
% 4.01/0.98 % (518200)Peak memory usage: 13 MB
% 4.01/0.98 % (518200)Instructions burned: 1241 (million)
% 4.01/0.98 % (518311)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=2532325691:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 4.01/0.98 % (518312)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3514076281:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 4.01/0.98 % (518312)Instruction limit reached!
% 5.60/1.03 % (518312)------------------------------
% 5.60/1.03 % (518312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.03 % (518312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.03 % (518312)CaDiCaL version: 2.1.3
% 5.60/1.03 % (518312)Termination reason: Instruction limit
% 5.60/1.03 % (518312)Termination phase: Saturation
% 5.60/1.03 % (518312)Time elapsed: 0.016 s
% 5.60/1.03 % (518312)Peak memory usage: 12 MB
% 5.60/1.03 % (518312)Instructions burned: 31 (million)
% 5.60/1.03 % (518294)Instruction limit reached!
% 5.60/1.03 % (518294)------------------------------
% 5.60/1.03 % (518294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.03 % (518278)Instruction limit reached!
% 5.60/1.03 % (518278)------------------------------
% 5.60/1.03 % (518278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.03 % (518278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.03 % (518294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.03 % (518294)CaDiCaL version: 2.1.3
% 5.60/1.03 % (518278)CaDiCaL version: 2.1.3
% 5.60/1.03 % (518278)Termination reason: Instruction limit
% 5.60/1.03 % (518278)Termination phase: Saturation
% 5.60/1.03 % (518294)Termination reason: Instruction limit
% 5.60/1.03 % (518294)Termination phase: Saturation
% 5.60/1.03 % (518278)Time elapsed: 0.226 s
% 5.60/1.03 % (518294)Time elapsed: 0.153 s
% 5.60/1.03 % (518278)Peak memory usage: 13 MB
% 5.60/1.03 % (518294)Peak memory usage: 13 MB
% 5.60/1.03 % (518278)Instructions burned: 496 (million)
% 5.60/1.03 % (518294)Instructions burned: 341 (million)
% 5.60/1.03 % (518315)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.60/1.03 % (518315)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
% 5.60/1.03 % (518315)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=1777016204:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/1440Mi)
% 5.60/1.03 % (518317)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1188194486:i=111:add=on:fgj=on:rtra=on:fdi=1024_2993 on theBenchmark for (2993ds/111Mi)
% 5.60/1.03 % (518316)dis+10_2_sil=128000:si=on:random_seed=2663513759:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2993 on theBenchmark for (2993ds/339Mi)
% 5.60/1.03 % (518316)Refutation not found, incomplete strategy
% 5.60/1.03 % (518316)------------------------------
% 5.60/1.03 % (518316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.03 % (518316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.03 % (518316)CaDiCaL version: 2.1.3
% 5.60/1.03 % (518316)Termination reason: Refutation not found, incomplete strategy
% 5.60/1.03 % (518316)Time elapsed: 0.0000 s
% 5.60/1.03 % (518316)Peak memory usage: 11 MB
% 5.60/1.03 % (518316)------------------------------
% 5.60/1.03 % (518316)------------------------------
% 5.60/1.03 % (518304)Instruction limit reached!
% 5.60/1.03 % (518304)------------------------------
% 5.60/1.03 % (518304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.03 % (518304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.03 % (518304)CaDiCaL version: 2.1.3
% 5.60/1.03 % (518304)Termination reason: Instruction limit
% 5.60/1.03 % (518304)Termination phase: Saturation
% 5.60/1.03 % (518304)Time elapsed: 0.114 s
% 5.60/1.03 % (518304)Peak memory usage: 12 MB
% 5.60/1.03 % (518304)Instructions burned: 271 (million)
% 5.60/1.03 % (518321)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=1699740271: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)
% 5.60/1.03 % (518321)Refutation not found, incomplete strategy
% 5.60/1.03 % (518321)------------------------------
% 5.60/1.03 % (518321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.03 % (518321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.03 % (518321)CaDiCaL version: 2.1.3
% 5.60/1.03 % (518321)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.14 % (518321)Time elapsed: 0.0000 s
% 6.25/1.14 % (518321)Peak memory usage: 11 MB
% 6.25/1.14 % (518321)------------------------------
% 6.25/1.14 % (518321)------------------------------
% 6.25/1.14 % (518299)Instruction limit reached!
% 6.25/1.14 % (518299)------------------------------
% 6.25/1.14 % (518299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/1.14 % (518299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.14 % (518299)CaDiCaL version: 2.1.3
% 6.25/1.14 % (518299)Termination reason: Instruction limit
% 6.25/1.14 % (518299)Termination phase: Saturation
% 6.25/1.14 % (518299)Time elapsed: 0.173 s
% 6.25/1.14 % (518299)Peak memory usage: 13 MB
% 6.25/1.14 % (518299)Instructions burned: 373 (million)
% 6.25/1.14 % (518322)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=769646965:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/136Mi)
% 6.25/1.14 % (518322)Refutation not found, incomplete strategy
% 6.25/1.14 % (518322)------------------------------
% 6.25/1.14 % (518322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/1.14 % (518322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.14 % (518322)CaDiCaL version: 2.1.3
% 6.25/1.14 % (518322)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.14 % (518322)Time elapsed: 0.001 s
% 6.25/1.14 % (518322)Peak memory usage: 12 MB
% 6.25/1.14 % (518322)Instructions burned: 1 (million)
% 6.25/1.14 % (518322)------------------------------
% 6.25/1.14 % (518322)------------------------------
% 6.25/1.14 % (518324)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1925535245:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/232Mi)
% 6.25/1.14 % (518324)Refutation not found, incomplete strategy
% 6.25/1.14 % (518324)------------------------------
% 6.25/1.14 % (518324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/1.14 % (518324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.14 % (518324)CaDiCaL version: 2.1.3
% 6.25/1.14 % (518324)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.14 % (518324)Time elapsed: 0.0000 s
% 6.25/1.14 % (518324)Peak memory usage: 11 MB
% 6.25/1.14 % (518324)------------------------------
% 6.25/1.14 % (518324)------------------------------
% 6.25/1.14 % (518311)Instruction limit reached!
% 6.25/1.14 % (518311)------------------------------
% 6.25/1.14 % (518311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/1.14 % (518311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.14 % (518311)CaDiCaL version: 2.1.3
% 6.25/1.14 % (518311)Termination reason: Instruction limit
% 6.25/1.14 % (518311)Termination phase: Saturation
% 6.25/1.14 % (518311)Time elapsed: 0.106 s
% 6.25/1.14 % (518311)Peak memory usage: 13 MB
% 6.25/1.14 % (518311)Instructions burned: 271 (million)
% 6.25/1.14 % (518325)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=2839009015:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/1254Mi)
% 6.25/1.14 % (518325)Refutation not found, incomplete strategy
% 6.25/1.14 % (518325)------------------------------
% 6.25/1.14 % (518325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/1.14 % (518325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.14 % (518325)CaDiCaL version: 2.1.3
% 6.25/1.14 % (518325)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.14 % (518325)Time elapsed: 0.001 s
% 6.25/1.14 % (518325)Peak memory usage: 12 MB
% 6.25/1.14 % (518325)Instructions burned: 2 (million)
% 6.25/1.14 % (518325)------------------------------
% 6.25/1.14 % (518325)------------------------------
% 6.25/1.14 % (518327)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.25/1.14 % (518317)Instruction limit reached!
% 6.25/1.14 % (518317)------------------------------
% 6.25/1.14 % (518317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/1.14 % (518317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.14 % (518317)CaDiCaL version: 2.1.3
% 6.25/1.14 % (518317)Termination reason: Instruction limit
% 6.25/1.14 % (518317)Termination phase: Saturation
% 6.25/1.14 % (518317)Time elapsed: 0.054 s
% 6.79/1.29 % (518317)Peak memory usage: 12 MB
% 6.79/1.29 % (518317)Instructions burned: 112 (million)
% 6.79/1.29 % (518327)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=1603500829:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2992 on theBenchmark for (2992ds/281Mi)
% 6.79/1.29 % (518329)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3642099801:i=619:add=on:rtra=on_2992 on theBenchmark for (2992ds/619Mi)
% 6.79/1.29 % (518330)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=2386203049:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/865Mi)
% 6.79/1.29 % (518329)Refutation not found, incomplete strategy
% 6.79/1.29 % (518329)------------------------------
% 6.79/1.29 % (518329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.29 % (518329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.29 % (518329)CaDiCaL version: 2.1.3
% 6.79/1.29 % (518329)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.29 % (518329)Time elapsed: 0.002 s
% 6.79/1.29 % (518329)Peak memory usage: 12 MB
% 6.79/1.29 % (518329)Instructions burned: 2 (million)
% 6.79/1.29 % (518329)------------------------------
% 6.79/1.29 % (518329)------------------------------
% 6.79/1.29 % (518332)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2252679623:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/212Mi)
% 6.79/1.29 % (518332)Refutation not found, incomplete strategy
% 6.79/1.29 % (518332)------------------------------
% 6.79/1.29 % (518332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.29 % (518332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.29 % (518332)CaDiCaL version: 2.1.3
% 6.79/1.29 % (518332)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.29 % (518332)Time elapsed: 0.001 s
% 6.79/1.29 % (518332)Peak memory usage: 11 MB
% 6.79/1.29 % (518332)------------------------------
% 6.79/1.29 % (518332)------------------------------
% 6.79/1.29 % (518333)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1609720270:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.79/1.29 % (518333)Refutation not found, incomplete strategy
% 6.79/1.29 % (518333)------------------------------
% 6.79/1.29 % (518333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.29 % (518333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.29 % (518333)CaDiCaL version: 2.1.3
% 6.79/1.29 % (518333)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.29 % (518333)Time elapsed: 0.0000 s
% 6.79/1.29 % (518333)Peak memory usage: 11 MB
% 6.79/1.29 % (518333)------------------------------
% 6.79/1.29 % (518333)------------------------------
% 6.79/1.29 % (518337)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2214871323:st=1.5:i=346:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/346Mi)
% 6.79/1.29 % (518337)Refutation not found, incomplete strategy
% 6.79/1.29 % (518337)------------------------------
% 6.79/1.29 % (518337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.29 % (518337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.29 % (518337)CaDiCaL version: 2.1.3
% 6.79/1.29 % (518337)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.29 % (518337)Time elapsed: 0.001 s
% 6.79/1.29 % (518337)Peak memory usage: 11 MB
% 6.79/1.29 % (518337)Instructions burned: 1 (million)
% 6.79/1.29 % (518337)------------------------------
% 6.79/1.29 % (518337)------------------------------
% 6.79/1.29 % (518339)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1704817495:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/152Mi)
% 6.79/1.29 % (518341)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3187450889:i=75:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/75Mi)
% 6.79/1.29 % (518343)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2003913765:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/387Mi)
% 6.79/1.29 % (518343)Refutation not found, incomplete strategy
% 6.79/1.29 % (518343)------------------------------
% 7.73/1.48 % (518343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.73/1.48 % (518343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.48 % (518343)CaDiCaL version: 2.1.3
% 7.73/1.48 % (518343)Termination reason: Refutation not found, incomplete strategy
% 7.73/1.48 % (518343)Time elapsed: 0.001 s
% 7.73/1.48 % (518343)Peak memory usage: 11 MB
% 7.73/1.48 % (518343)Instructions burned: 1 (million)
% 7.73/1.48 % (518343)------------------------------
% 7.73/1.48 % (518343)------------------------------
% 7.73/1.48 % (518347)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=994107341:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2992 on theBenchmark for (2992ds/148Mi)
% 7.73/1.48 % (518341)Instruction limit reached!
% 7.73/1.48 % (518341)------------------------------
% 7.73/1.48 % (518341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.73/1.48 % (518341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.48 % (518341)CaDiCaL version: 2.1.3
% 7.73/1.48 % (518341)Termination reason: Instruction limit
% 7.73/1.48 % (518341)Termination phase: Saturation
% 7.73/1.48 % (518341)Time elapsed: 0.037 s
% 7.73/1.48 % (518341)Peak memory usage: 12 MB
% 7.73/1.48 % (518341)Instructions burned: 76 (million)
% 7.73/1.48 % (518349)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1200174748:i=161:piset=and:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/161Mi)
% 7.73/1.48 % (518339)Instruction limit reached!
% 7.73/1.48 % (518339)------------------------------
% 7.73/1.48 % (518339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.73/1.48 % (518339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.48 % (518339)CaDiCaL version: 2.1.3
% 7.73/1.48 % (518339)Termination reason: Instruction limit
% 7.73/1.48 % (518339)Termination phase: Saturation
% 7.73/1.48 % (518339)Time elapsed: 0.072 s
% 7.73/1.48 % (518339)Peak memory usage: 13 MB
% 7.73/1.48 % (518339)Instructions burned: 152 (million)
% 7.73/1.48 % (518351)lrs+10_1_sil=128000:si=on:random_seed=1883856633:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/888Mi)
% 7.73/1.48 % (518351)Refutation not found, incomplete strategy
% 7.73/1.48 % (518351)------------------------------
% 7.73/1.48 % (518351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.73/1.48 % (518351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.48 % (518351)CaDiCaL version: 2.1.3
% 7.73/1.48 % (518351)Termination reason: Refutation not found, incomplete strategy
% 7.73/1.48 % (518351)Time elapsed: 0.001 s
% 7.73/1.48 % (518351)Peak memory usage: 11 MB
% 7.73/1.48 % (518351)------------------------------
% 7.73/1.48 % (518351)------------------------------
% 7.73/1.48 % (518347)Instruction limit reached!
% 7.73/1.48 % (518347)------------------------------
% 7.73/1.48 % (518347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.73/1.48 % (518347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.48 % (518347)CaDiCaL version: 2.1.3
% 7.73/1.48 % (518347)Termination reason: Instruction limit
% 7.73/1.48 % (518347)Termination phase: Saturation
% 7.73/1.48 % (518347)Time elapsed: 0.067 s
% 7.73/1.48 % (518347)Peak memory usage: 12 MB
% 7.73/1.48 % (518347)Instructions burned: 150 (million)
% 7.73/1.48 % (518353)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=4271106018:i=136:add=on:ins=4:rtra=on:sup=off_2991 on theBenchmark for (2991ds/136Mi)
% 7.73/1.48 % (518327)Instruction limit reached!
% 7.73/1.48 % (518327)------------------------------
% 7.73/1.48 % (518327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.73/1.48 % (518327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/1.48 % (518327)CaDiCaL version: 2.1.3
% 7.73/1.48 % (518327)Termination reason: Instruction limit
% 7.73/1.48 % (518327)Termination phase: Saturation
% 7.73/1.48 % (518327)Time elapsed: 0.146 s
% 7.73/1.48 % (518327)Peak memory usage: 13 MB
% 7.73/1.48 % (518327)Instructions burned: 281 (million)
% 7.73/1.48 % (518354)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=1349130719:i=88:s2at=3:nm=2:rtra=on:rawr=on_2991 on theBenchmark for (2991ds/88Mi)
% 7.73/1.48 % (518349)Instruction limit reached!
% 8.80/1.66 % (518349)------------------------------
% 8.80/1.66 % (518349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.80/1.66 % (518349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.80/1.66 % (518349)CaDiCaL version: 2.1.3
% 8.80/1.66 % (518349)Termination reason: Instruction limit
% 8.80/1.66 % (518349)Termination phase: Saturation
% 8.80/1.66 % (518349)Time elapsed: 0.065 s
% 8.80/1.66 % (518349)Peak memory usage: 12 MB
% 8.80/1.66 % (518349)Instructions burned: 163 (million)
% 8.80/1.66 % (518356)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1380476263:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2991 on theBenchmark for (2991ds/93Mi)
% 8.80/1.66 % (518358)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=568810841:i=2186:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/2186Mi)
% 8.80/1.66 % (518354)Instruction limit reached!
% 8.80/1.66 % (518354)------------------------------
% 8.80/1.66 % (518354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.80/1.66 % (518354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.80/1.66 % (518354)CaDiCaL version: 2.1.3
% 8.80/1.66 % (518354)Termination reason: Instruction limit
% 8.80/1.66 % (518354)Termination phase: Saturation
% 8.80/1.66 % (518354)Time elapsed: 0.040 s
% 8.80/1.66 % (518354)Peak memory usage: 13 MB
% 8.80/1.66 % (518354)Instructions burned: 88 (million)
% 8.80/1.66 % (518353)Instruction limit reached!
% 8.80/1.66 % (518353)------------------------------
% 8.80/1.66 % (518353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.80/1.66 % (518353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.80/1.66 % (518353)CaDiCaL version: 2.1.3
% 8.80/1.66 % (518353)Termination reason: Instruction limit
% 8.80/1.66 % (518353)Termination phase: Saturation
% 8.80/1.66 % (518353)Time elapsed: 0.062 s
% 8.80/1.66 % (518353)Peak memory usage: 12 MB
% 8.80/1.66 % (518353)Instructions burned: 138 (million)
% 8.80/1.66 % (518356)Instruction limit reached!
% 8.80/1.66 % (518356)------------------------------
% 8.80/1.66 % (518356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.80/1.66 % (518356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.80/1.66 % (518356)CaDiCaL version: 2.1.3
% 8.80/1.66 % (518356)Termination reason: Instruction limit
% 8.80/1.66 % (518356)Termination phase: Saturation
% 8.80/1.66 % (518356)Time elapsed: 0.048 s
% 8.80/1.66 % (518356)Peak memory usage: 12 MB
% 8.80/1.66 % (518356)Instructions burned: 94 (million)
% 8.80/1.66 % (518361)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=843217328:s2a=on:i=240:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/240Mi)
% 8.80/1.66 % (518362)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3243412964:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/805Mi)
% 8.80/1.66 % (518363)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 8.80/1.66 % (518363)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=455619197:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2990 on theBenchmark for (2990ds/391Mi)
% 8.80/1.66 % (518363)Refutation not found, incomplete strategy
% 8.80/1.66 % (518363)------------------------------
% 8.80/1.66 % (518363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.80/1.66 % (518363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.80/1.66 % (518363)CaDiCaL version: 2.1.3
% 8.80/1.66 % (518363)Termination reason: Refutation not found, incomplete strategy
% 8.80/1.66 % (518363)Time elapsed: 0.001 s
% 8.80/1.66 % (518363)Peak memory usage: 11 MB
% 8.80/1.66 % (518363)Instructions burned: 1 (million)
% 8.80/1.66 % (518363)------------------------------
% 8.80/1.66 % (518363)------------------------------
% 8.80/1.66 % (518367)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3281966268:i=355:av=off:fsr=off:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/355Mi)
% 8.80/1.66 % (518361)Instruction limit reached!
% 8.80/1.66 % (518361)------------------------------
% 8.80/1.66 % (518361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.80/1.66 % (518361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.01/1.73 % (518361)CaDiCaL version: 2.1.3
% 9.01/1.73 % (518361)Termination reason: Instruction limit
% 9.01/1.73 % (518361)Termination phase: Saturation
% 9.01/1.73 % (518361)Time elapsed: 0.094 s
% 9.01/1.73 % (518361)Peak memory usage: 13 MB
% 9.01/1.73 % (518361)Instructions burned: 241 (million)
% 9.01/1.73 % (518369)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3534876035:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/314Mi)
% 9.01/1.73 % (518369)Refutation not found, incomplete strategy
% 9.01/1.73 % (518369)------------------------------
% 9.01/1.73 % (518369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.01/1.73 % (518369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.01/1.73 % (518369)CaDiCaL version: 2.1.3
% 9.01/1.73 % (518369)Termination reason: Refutation not found, incomplete strategy
% 9.01/1.73 % (518369)Time elapsed: 0.001 s
% 9.01/1.73 % (518369)Peak memory usage: 12 MB
% 9.01/1.73 % (518369)------------------------------
% 9.01/1.73 % (518369)------------------------------
% 9.01/1.73 % (518371)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=4158489584:s2a=on:i=251:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/251Mi)
% 9.01/1.73 % (518367)Instruction limit reached!
% 9.01/1.73 % (518367)------------------------------
% 9.01/1.73 % (518367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.01/1.73 % (518367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.01/1.73 % (518367)CaDiCaL version: 2.1.3
% 9.01/1.73 % (518367)Termination reason: Instruction limit
% 9.01/1.73 % (518367)Termination phase: Saturation
% 9.01/1.73 % (518367)Time elapsed: 0.158 s
% 9.01/1.73 % (518367)Peak memory usage: 12 MB
% 9.01/1.73 % (518367)Instructions burned: 356 (million)
% 9.01/1.73 % (518373)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=3907001123: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_2988 on theBenchmark for (2988ds/2470Mi)
% 9.01/1.73 % (518330)Instruction limit reached!
% 9.01/1.73 % (518330)------------------------------
% 9.01/1.73 % (518330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.01/1.73 % (518330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.01/1.73 % (518330)CaDiCaL version: 2.1.3
% 9.01/1.73 % (518330)Termination reason: Instruction limit
% 9.01/1.73 % (518330)Termination phase: Saturation
% 9.01/1.73 % (518330)Time elapsed: 0.440 s
% 9.01/1.73 % (518330)Peak memory usage: 15 MB
% 9.01/1.73 % (518330)Instructions burned: 866 (million)
% 9.01/1.73 % (518371)Instruction limit reached!
% 9.01/1.73 % (518371)------------------------------
% 9.01/1.73 % (518371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.01/1.73 % (518371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.01/1.73 % (518371)CaDiCaL version: 2.1.3
% 9.01/1.73 % (518371)Termination reason: Instruction limit
% 9.01/1.73 % (518371)Termination phase: Saturation
% 9.01/1.73 % (518371)Time elapsed: 0.113 s
% 9.01/1.73 % (518371)Peak memory usage: 12 MB
% 9.01/1.73 % (518371)Instructions burned: 253 (million)
% 9.01/1.73 % (518375)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=988229808:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2988 on theBenchmark for (2988ds/673Mi)
% 9.01/1.73 % (518315)Instruction limit reached!
% 9.01/1.73 % (518315)------------------------------
% 9.01/1.73 % (518315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.01/1.73 % (518315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.01/1.73 % (518315)CaDiCaL version: 2.1.3
% 9.01/1.73 % (518315)Termination reason: Instruction limit
% 9.01/1.73 % (518315)Termination phase: Saturation
% 9.01/1.73 % (518315)Time elapsed: 0.545 s
% 9.01/1.73 % (518315)Peak memory usage: 14 MB
% 9.01/1.73 % (518315)Instructions burned: 1441 (million)
% 9.01/1.73 % (518376)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3326940995:i=116:ep=RSTC:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/116Mi)
% 9.01/1.73 % (518378)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1958843132:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2987 on theBenchmark for (2987ds/270Mi)
% 10.06/1.91 % (518376)Instruction limit reached!
% 10.06/1.91 % (518376)------------------------------
% 10.06/1.91 % (518376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.06/1.91 % (518376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.06/1.91 % (518376)CaDiCaL version: 2.1.3
% 10.06/1.91 % (518376)Termination reason: Instruction limit
% 10.06/1.91 % (518376)Termination phase: Saturation
% 10.06/1.91 % (518376)Time elapsed: 0.049 s
% 10.06/1.91 % (518376)Peak memory usage: 12 MB
% 10.06/1.91 % (518376)Instructions burned: 117 (million)
% 10.06/1.91 % (518381)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=1901098218: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)
% 10.06/1.91 % (518362)Instruction limit reached!
% 10.06/1.91 % (518362)------------------------------
% 10.06/1.91 % (518362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.06/1.91 % (518362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.06/1.91 % (518362)CaDiCaL version: 2.1.3
% 10.06/1.91 % (518362)Termination reason: Instruction limit
% 10.06/1.91 % (518362)Termination phase: Saturation
% 10.06/1.91 % (518362)Time elapsed: 0.327 s
% 10.06/1.91 % (518362)Peak memory usage: 14 MB
% 10.06/1.91 % (518362)Instructions burned: 806 (million)
% 10.06/1.91 % (518381)Instruction limit reached!
% 10.06/1.91 % (518381)------------------------------
% 10.06/1.91 % (518381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.06/1.91 % (518381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.06/1.91 % (518381)CaDiCaL version: 2.1.3
% 10.06/1.91 % (518381)Termination reason: Instruction limit
% 10.06/1.91 % (518381)Termination phase: Saturation
% 10.06/1.91 % (518381)Time elapsed: 0.014 s
% 10.06/1.91 % (518381)Peak memory usage: 12 MB
% 10.06/1.91 % (518381)Instructions burned: 31 (million)
% 10.06/1.91 % (518383)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 10.06/1.91 % (518383)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3840223786:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2987 on theBenchmark for (2987ds/39Mi)
% 10.06/1.91 % (518384)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2399907555:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2986 on theBenchmark for (2986ds/365Mi)
% 10.06/1.91 % (518383)Instruction limit reached!
% 10.06/1.91 % (518383)------------------------------
% 10.06/1.91 % (518383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.06/1.91 % (518383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.06/1.91 % (518383)CaDiCaL version: 2.1.3
% 10.06/1.91 % (518383)Termination reason: Instruction limit
% 10.06/1.91 % (518383)Termination phase: Saturation
% 10.06/1.91 % (518383)Time elapsed: 0.020 s
% 10.06/1.91 % (518383)Peak memory usage: 12 MB
% 10.06/1.91 % (518383)Instructions burned: 40 (million)
% 10.06/1.91 % (518387)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3132241642:i=158:av=off:rtra=on_2986 on theBenchmark for (2986ds/158Mi)
% 10.06/1.91 % (518378)Instruction limit reached!
% 10.06/1.91 % (518378)------------------------------
% 10.06/1.91 % (518378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.06/1.91 % (518378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.06/1.91 % (518378)CaDiCaL version: 2.1.3
% 10.06/1.91 % (518378)Termination reason: Instruction limit
% 10.06/1.91 % (518378)Termination phase: Saturation
% 10.06/1.91 % (518378)Time elapsed: 0.116 s
% 10.06/1.91 % (518378)Peak memory usage: 12 MB
% 10.06/1.91 % (518378)Instructions burned: 270 (million)
% 10.06/1.91 % (518389)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
% 10.06/1.91 % (518389)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=2101610655:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/252Mi)
% 10.06/1.91 % (518387)Instruction limit reached!
% 10.06/1.91 % (518387)------------------------------
% 10.06/1.99 % (518387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.06/1.99 % (518387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.06/1.99 % (518387)CaDiCaL version: 2.1.3
% 10.06/1.99 % (518387)Termination reason: Instruction limit
% 10.06/1.99 % (518387)Termination phase: Saturation
% 10.06/1.99 % (518387)Time elapsed: 0.066 s
% 10.06/1.99 % (518387)Peak memory usage: 12 MB
% 10.06/1.99 % (518387)Instructions burned: 159 (million)
% 10.06/1.99 % (518391)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=1397078334:i=213:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/213Mi)
% 10.06/1.99 % (518391)Refutation not found, incomplete strategy
% 10.06/1.99 % (518391)------------------------------
% 10.06/1.99 % (518391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.06/1.99 % (518391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.06/1.99 % (518391)CaDiCaL version: 2.1.3
% 10.06/1.99 % (518391)Termination reason: Refutation not found, incomplete strategy
% 10.06/1.99 % (518391)Time elapsed: 0.001 s
% 10.06/1.99 % (518391)Peak memory usage: 11 MB
% 10.06/1.99 % (518391)------------------------------
% 10.06/1.99 % (518391)------------------------------
% 10.06/1.99 % (518393)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=3924815833:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/160Mi)
% 10.06/1.99 % (518393)Refutation not found, incomplete strategy
% 10.06/1.99 % (518393)------------------------------
% 10.06/1.99 % (518393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.06/1.99 % (518393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.06/1.99 % (518393)CaDiCaL version: 2.1.3
% 10.06/1.99 % (518393)Termination reason: Refutation not found, incomplete strategy
% 10.06/1.99 % (518393)Time elapsed: 0.001 s
% 10.06/1.99 % (518393)Peak memory usage: 11 MB
% 10.06/1.99 % (518393)------------------------------
% 10.06/1.99 % (518393)------------------------------
% 10.06/1.99 % (518375)Instruction limit reached!
% 10.06/1.99 % (518375)------------------------------
% 10.06/1.99 % (518375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.06/1.99 % (518375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.06/1.99 % (518375)CaDiCaL version: 2.1.3
% 10.06/1.99 % (518375)Termination reason: Instruction limit
% 10.06/1.99 % (518375)Termination phase: Saturation
% 10.06/1.99 % (518375)Time elapsed: 0.260 s
% 10.06/1.99 % (518375)Peak memory usage: 13 MB
% 10.06/1.99 % (518375)Instructions burned: 675 (million)
% 10.06/1.99 % (518384)Instruction limit reached!
% 10.06/1.99 % (518384)------------------------------
% 10.06/1.99 % (518384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.06/1.99 % (518384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.06/1.99 % (518384)CaDiCaL version: 2.1.3
% 10.06/1.99 % (518384)Termination reason: Instruction limit
% 10.06/1.99 % (518384)Termination phase: Saturation
% 10.06/1.99 % (518384)Time elapsed: 0.148 s
% 10.06/1.99 % (518384)Peak memory usage: 13 MB
% 10.06/1.99 % (518384)Instructions burned: 367 (million)
% 10.06/1.99 % (518389)Instruction limit reached!
% 10.06/1.99 % (518389)------------------------------
% 10.06/1.99 % (518389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.06/1.99 % (518389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.06/1.99 % (518389)CaDiCaL version: 2.1.3
% 10.06/1.99 % (518389)Termination reason: Instruction limit
% 10.06/1.99 % (518389)Termination phase: Saturation
% 10.06/1.99 % (518389)Time elapsed: 0.100 s
% 10.06/1.99 % (518389)Peak memory usage: 12 MB
% 10.06/1.99 % (518389)Instructions burned: 254 (million)
% 10.06/1.99 % (518395)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1180002780:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/763Mi)
% 10.06/1.99 % (518396)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 10.06/1.99 % (518396)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=4097395565:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2985 on theBenchmark for (2985ds/237Mi)
% 10.06/1.99 % (518396)Refutation not found, incomplete strategy
% 12.70/2.06 % (518396)------------------------------
% 12.70/2.06 % (518396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.70/2.06 % (518396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.06 % (518396)CaDiCaL version: 2.1.3
% 12.70/2.06 % (518396)Termination reason: Refutation not found, incomplete strategy
% 12.70/2.06 % (518396)Time elapsed: 0.0000 s
% 12.70/2.06 % (518396)Peak memory usage: 11 MB
% 12.70/2.06 % (518396)------------------------------
% 12.70/2.06 % (518396)------------------------------
% 12.70/2.06 % (518398)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=55189847:i=300:piset=and:nm=32:rtra=on_2985 on theBenchmark for (2985ds/300Mi)
% 12.70/2.06 % (518397)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=327305580:s2a=on:i=386:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/386Mi)
% 12.70/2.06 % (518401)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=3208039281:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/567Mi)
% 12.70/2.06 % (518401)Refutation not found, incomplete strategy
% 12.70/2.06 % (518401)------------------------------
% 12.70/2.06 % (518401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.70/2.06 % (518401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.06 % (518401)CaDiCaL version: 2.1.3
% 12.70/2.06 % (518401)Termination reason: Refutation not found, incomplete strategy
% 12.70/2.06 % (518401)Time elapsed: 0.001 s
% 12.70/2.06 % (518401)Peak memory usage: 11 MB
% 12.70/2.06 % (518401)Instructions burned: 1 (million)
% 12.70/2.06 % (518401)------------------------------
% 12.70/2.06 % (518401)------------------------------
% 12.70/2.06 % (518405)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1550682002:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2984 on theBenchmark for (2984ds/379Mi)
% 12.70/2.06 % (518405)Refutation not found, incomplete strategy
% 12.70/2.06 % (518405)------------------------------
% 12.70/2.06 % (518405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.70/2.06 % (518405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.06 % (518405)CaDiCaL version: 2.1.3
% 12.70/2.06 % (518405)Termination reason: Refutation not found, incomplete strategy
% 12.70/2.06 % (518405)Time elapsed: 0.001 s
% 12.70/2.06 % (518405)Peak memory usage: 11 MB
% 12.70/2.06 % (518405)------------------------------
% 12.70/2.06 % (518405)------------------------------
% 12.70/2.06 % (518407)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2443604453:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2984 on theBenchmark for (2984ds/429Mi)
% 12.70/2.06 % (518398)Instruction limit reached!
% 12.70/2.06 % (518398)------------------------------
% 12.70/2.06 % (518398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.70/2.06 % (518398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.06 % (518398)CaDiCaL version: 2.1.3
% 12.70/2.06 % (518398)Termination reason: Instruction limit
% 12.70/2.06 % (518398)Termination phase: Saturation
% 12.70/2.06 % (518398)Time elapsed: 0.128 s
% 12.70/2.06 % (518398)Peak memory usage: 12 MB
% 12.70/2.06 % (518398)Instructions burned: 300 (million)
% 12.70/2.06 % (518409)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1586288827:i=478:bd=all:rtra=on_2983 on theBenchmark for (2983ds/478Mi)
% 12.70/2.06 % (518409)Refutation not found, incomplete strategy
% 12.70/2.06 % (518409)------------------------------
% 12.70/2.06 % (518409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.70/2.06 % (518409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.70/2.06 % (518409)CaDiCaL version: 2.1.3
% 12.70/2.06 % (518409)Termination reason: Refutation not found, incomplete strategy
% 12.70/2.06 % (518409)Time elapsed: 0.001 s
% 12.70/2.06 % (518409)Peak memory usage: 12 MB
% 12.70/2.06 % (518409)Instructions burned: 1 (million)
% 12.70/2.06 % (518409)------------------------------
% 12.70/2.06 % (518409)------------------------------
% 12.70/2.06 % (518411)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2450338638:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2983 on theBenchmark for (2983ds/445Mi)
% 12.70/2.06 % (518397)Instruction limit reached!
% 12.70/2.06 % (518397)------------------------------
% 12.70/2.06 % (518397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.53/2.21 % (518397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.21 % (518397)CaDiCaL version: 2.1.3
% 13.53/2.21 % (518397)Termination reason: Instruction limit
% 13.53/2.21 % (518397)Termination phase: Saturation
% 13.53/2.21 % (518397)Time elapsed: 0.179 s
% 13.53/2.21 % (518397)Peak memory usage: 12 MB
% 13.53/2.21 % (518397)Instructions burned: 386 (million)
% 13.53/2.21 % (518413)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2873896924:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2983 on theBenchmark for (2983ds/71Mi)
% 13.53/2.21 % (518358)Instruction limit reached!
% 13.53/2.21 % (518358)------------------------------
% 13.53/2.21 % (518358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.53/2.21 % (518358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.21 % (518358)CaDiCaL version: 2.1.3
% 13.53/2.21 % (518358)Termination reason: Instruction limit
% 13.53/2.21 % (518358)Termination phase: Saturation
% 13.53/2.21 % (518358)Time elapsed: 0.797 s
% 13.53/2.21 % (518358)Peak memory usage: 13 MB
% 13.53/2.21 % (518358)Instructions burned: 2189 (million)
% 13.53/2.21 % (518413)Instruction limit reached!
% 13.53/2.21 % (518413)------------------------------
% 13.53/2.21 % (518413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.53/2.21 % (518413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.21 % (518413)CaDiCaL version: 2.1.3
% 13.53/2.21 % (518413)Termination reason: Instruction limit
% 13.53/2.21 % (518413)Termination phase: Saturation
% 13.53/2.21 % (518413)Time elapsed: 0.037 s
% 13.53/2.21 % (518413)Peak memory usage: 12 MB
% 13.53/2.21 % (518413)Instructions burned: 71 (million)
% 13.53/2.21 % (518415)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2790499141:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/302Mi)
% 13.53/2.21 % (518415)Refutation not found, incomplete strategy
% 13.53/2.21 % (518415)------------------------------
% 13.53/2.21 % (518415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.53/2.21 % (518415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.21 % (518415)CaDiCaL version: 2.1.3
% 13.53/2.21 % (518415)Termination reason: Refutation not found, incomplete strategy
% 13.53/2.21 % (518415)Time elapsed: 0.001 s
% 13.53/2.21 % (518415)Peak memory usage: 11 MB
% 13.53/2.21 % (518415)------------------------------
% 13.53/2.21 % (518415)------------------------------
% 13.53/2.21 % (518395)Instruction limit reached!
% 13.53/2.21 % (518395)------------------------------
% 13.53/2.21 % (518395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.53/2.21 % (518395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.21 % (518395)CaDiCaL version: 2.1.3
% 13.53/2.21 % (518395)Termination reason: Instruction limit
% 13.53/2.21 % (518395)Termination phase: Saturation
% 13.53/2.21 % (518395)Time elapsed: 0.267 s
% 13.53/2.21 % (518395)Peak memory usage: 14 MB
% 13.53/2.21 % (518395)Instructions burned: 763 (million)
% 13.53/2.21 % (518416)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3234779508:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/4980Mi)
% 13.53/2.21 % (518407)Instruction limit reached!
% 13.53/2.21 % (518407)------------------------------
% 13.53/2.21 % (518407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.53/2.21 % (518407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.21 % (518407)CaDiCaL version: 2.1.3
% 13.53/2.21 % (518407)Termination reason: Instruction limit
% 13.53/2.21 % (518407)Termination phase: Saturation
% 13.53/2.21 % (518407)Time elapsed: 0.200 s
% 13.53/2.21 % (518407)Peak memory usage: 13 MB
% 13.53/2.21 % (518407)Instructions burned: 430 (million)
% 13.53/2.21 % (518416)Refutation not found, incomplete strategy
% 13.53/2.21 % (518416)------------------------------
% 13.53/2.21 % (518416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.53/2.21 % (518416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.21 % (518416)CaDiCaL version: 2.1.3
% 13.53/2.21 % (518416)Termination reason: Refutation not found, incomplete strategy
% 13.53/2.21 % (518416)Time elapsed: 0.001 s
% 13.53/2.21 % (518416)Peak memory usage: 11 MB
% 13.53/2.21 % (518416)------------------------------
% 13.53/2.21 % (518416)------------------------------
% 13.53/2.21 % (518418)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
% 13.81/2.36 % (518418)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 13.81/2.36 % (518418)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2861129734:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2982 on theBenchmark for (2982ds/100Mi)
% 13.81/2.36 % (518419)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=114285246:i=76:piset=equals:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/76Mi)
% 13.81/2.36 % (518421)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2939012410:i=289:rtra=on_2982 on theBenchmark for (2982ds/289Mi)
% 13.81/2.36 % (518421)Refutation not found, incomplete strategy
% 13.81/2.36 % (518421)------------------------------
% 13.81/2.36 % (518421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.81/2.36 % (518421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/2.36 % (518421)CaDiCaL version: 2.1.3
% 13.81/2.36 % (518421)Termination reason: Refutation not found, incomplete strategy
% 13.81/2.36 % (518421)Time elapsed: 0.001 s
% 13.81/2.36 % (518421)Peak memory usage: 12 MB
% 13.81/2.36 % (518421)Instructions burned: 1 (million)
% 13.81/2.36 % (518422)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=1386341624:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2982 on theBenchmark for (2982ds/493Mi)
% 13.81/2.36 % (518421)------------------------------
% 13.81/2.36 % (518421)------------------------------
% 13.81/2.36 % (518427)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=2170834544:cond=on:i=34:hud=10:nm=10:rtra=on_2982 on theBenchmark for (2982ds/34Mi)
% 13.81/2.36 % (518418)Instruction limit reached!
% 13.81/2.36 % (518418)------------------------------
% 13.81/2.36 % (518418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.81/2.36 % (518418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/2.36 % (518418)CaDiCaL version: 2.1.3
% 13.81/2.36 % (518418)Termination reason: Instruction limit
% 13.81/2.36 % (518418)Termination phase: Saturation
% 13.81/2.36 % (518418)Time elapsed: 0.047 s
% 13.81/2.36 % (518418)Peak memory usage: 12 MB
% 13.81/2.36 % (518418)Instructions burned: 102 (million)
% 13.81/2.36 % (518419)Instruction limit reached!
% 13.81/2.36 % (518419)------------------------------
% 13.81/2.36 % (518419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.81/2.36 % (518419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/2.36 % (518419)CaDiCaL version: 2.1.3
% 13.81/2.36 % (518419)Termination reason: Instruction limit
% 13.81/2.36 % (518419)Termination phase: Saturation
% 13.81/2.36 % (518419)Time elapsed: 0.038 s
% 13.81/2.36 % (518419)Peak memory usage: 12 MB
% 13.81/2.36 % (518419)Instructions burned: 78 (million)
% 13.81/2.36 % (518427)Instruction limit reached!
% 13.81/2.36 % (518427)------------------------------
% 13.81/2.36 % (518427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.81/2.36 % (518427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/2.36 % (518427)CaDiCaL version: 2.1.3
% 13.81/2.36 % (518427)Termination reason: Instruction limit
% 13.81/2.36 % (518427)Termination phase: Saturation
% 13.81/2.36 % (518427)Time elapsed: 0.018 s
% 13.81/2.36 % (518427)Peak memory usage: 12 MB
% 13.81/2.36 % (518427)Instructions burned: 35 (million)
% 13.81/2.36 % (518429)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 13.81/2.36 % (518429)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=411492599:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2981 on theBenchmark for (2981ds/372Mi)
% 13.81/2.36 % (518430)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=3382395229:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2981 on theBenchmark for (2981ds/670Mi)
% 14.67/2.47 % (518429)Refutation not found, incomplete strategy
% 14.67/2.47 % (518429)------------------------------
% 14.67/2.47 % (518429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.47 % (518429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.47 % (518429)CaDiCaL version: 2.1.3
% 14.67/2.47 % (518429)Termination reason: Refutation not found, incomplete strategy
% 14.67/2.47 % (518429)Time elapsed: 0.002 s
% 14.67/2.47 % (518429)Peak memory usage: 12 MB
% 14.67/2.47 % (518429)Instructions burned: 2 (million)
% 14.67/2.47 % (518429)------------------------------
% 14.67/2.47 % (518429)------------------------------
% 14.67/2.47 % (518431)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2876335565:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/647Mi)
% 14.67/2.47 % (518431)Refutation not found, incomplete strategy
% 14.67/2.47 % (518431)------------------------------
% 14.67/2.47 % (518431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.47 % (518431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.47 % (518431)CaDiCaL version: 2.1.3
% 14.67/2.47 % (518431)Termination reason: Refutation not found, incomplete strategy
% 14.67/2.47 % (518431)Time elapsed: 0.0000 s
% 14.67/2.47 % (518431)Peak memory usage: 11 MB
% 14.67/2.47 % (518431)------------------------------
% 14.67/2.47 % (518431)------------------------------
% 14.67/2.47 % (518434)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=899854772:i=857:add=off:kws=frequency:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/857Mi)
% 14.67/2.47 % (518436)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=1646072182:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2981 on theBenchmark for (2981ds/693Mi)
% 14.67/2.47 % (518411)Instruction limit reached!
% 14.67/2.47 % (518411)------------------------------
% 14.67/2.47 % (518411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.47 % (518411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.47 % (518411)CaDiCaL version: 2.1.3
% 14.67/2.47 % (518411)Termination reason: Instruction limit
% 14.67/2.47 % (518411)Termination phase: Saturation
% 14.67/2.47 % (518411)Time elapsed: 0.224 s
% 14.67/2.47 % (518411)Peak memory usage: 14 MB
% 14.67/2.47 % (518411)Instructions burned: 446 (million)
% 14.67/2.47 % (518439)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=135419003:i=285:hud=10:bd=all:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/285Mi)
% 14.67/2.47 % (518439)Refutation not found, incomplete strategy
% 14.67/2.47 % (518439)------------------------------
% 14.67/2.47 % (518439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.47 % (518439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.47 % (518439)CaDiCaL version: 2.1.3
% 14.67/2.47 % (518439)Termination reason: Refutation not found, incomplete strategy
% 14.67/2.47 % (518439)Time elapsed: 0.001 s
% 14.67/2.47 % (518439)Peak memory usage: 11 MB
% 14.67/2.47 % (518439)Instructions burned: 1 (million)
% 14.67/2.47 % (518439)------------------------------
% 14.67/2.47 % (518439)------------------------------
% 14.67/2.47 % (518441)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 14.67/2.47 % (518441)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=1532875976:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2980 on theBenchmark for (2980ds/52Mi)
% 14.67/2.47 % (518441)Instruction limit reached!
% 14.67/2.47 % (518441)------------------------------
% 14.67/2.47 % (518441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.47 % (518441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.47 % (518441)CaDiCaL version: 2.1.3
% 14.67/2.47 % (518441)Termination reason: Instruction limit
% 14.67/2.47 % (518441)Termination phase: Saturation
% 14.67/2.47 % (518441)Time elapsed: 0.023 s
% 14.67/2.47 % (518441)Peak memory usage: 12 MB
% 14.67/2.47 % (518441)Instructions burned: 52 (million)
% 14.67/2.47 % (518443)dis+10_1_si=on:random_seed=1055044158:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2980 on theBenchmark for (2980ds/407Mi)
% 15.67/2.71 % (518443)Refutation not found, incomplete strategy
% 15.67/2.71 % (518443)------------------------------
% 15.67/2.71 % (518443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.67/2.71 % (518443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/2.71 % (518443)CaDiCaL version: 2.1.3
% 15.67/2.71 % (518443)Termination reason: Refutation not found, incomplete strategy
% 15.67/2.71 % (518443)Time elapsed: 0.001 s
% 15.67/2.71 % (518443)Peak memory usage: 11 MB
% 15.67/2.71 % (518443)------------------------------
% 15.67/2.71 % (518443)------------------------------
% 15.67/2.71 % (518422)Instruction limit reached!
% 15.67/2.71 % (518422)------------------------------
% 15.67/2.71 % (518422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.67/2.71 % (518422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/2.71 % (518422)CaDiCaL version: 2.1.3
% 15.67/2.71 % (518422)Termination reason: Instruction limit
% 15.67/2.71 % (518422)Termination phase: Saturation
% 15.67/2.71 % (518422)Time elapsed: 0.211 s
% 15.67/2.71 % (518422)Peak memory usage: 13 MB
% 15.67/2.71 % (518422)Instructions burned: 495 (million)
% 15.67/2.71 % (518445)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=2365181312:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/2240Mi)
% 15.67/2.71 % (518446)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3393421872:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/336Mi)
% 15.67/2.71 % (518446)Refutation not found, incomplete strategy
% 15.67/2.71 % (518446)------------------------------
% 15.67/2.71 % (518446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.67/2.71 % (518446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/2.71 % (518446)CaDiCaL version: 2.1.3
% 15.67/2.71 % (518446)Termination reason: Refutation not found, incomplete strategy
% 15.67/2.71 % (518446)Time elapsed: 0.0000 s
% 15.67/2.71 % (518446)Peak memory usage: 11 MB
% 15.67/2.71 % (518446)------------------------------
% 15.67/2.71 % (518446)------------------------------
% 15.67/2.71 % (518449)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=2740715882:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2979 on theBenchmark for (2979ds/1142Mi)
% 15.67/2.71 % (518430)Instruction limit reached!
% 15.67/2.71 % (518430)------------------------------
% 15.67/2.71 % (518430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.67/2.71 % (518430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/2.71 % (518430)CaDiCaL version: 2.1.3
% 15.67/2.71 % (518430)Termination reason: Instruction limit
% 15.67/2.71 % (518430)Termination phase: Saturation
% 15.67/2.71 % (518430)Time elapsed: 0.252 s
% 15.67/2.71 % (518430)Peak memory usage: 12 MB
% 15.67/2.71 % (518430)Instructions burned: 672 (million)
% 15.67/2.71 % (518451)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3480017531:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/376Mi)
% 15.67/2.71 % (518451)Refutation not found, incomplete strategy
% 15.67/2.71 % (518451)------------------------------
% 15.67/2.71 % (518451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.67/2.71 % (518451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/2.71 % (518451)CaDiCaL version: 2.1.3
% 15.67/2.71 % (518451)Termination reason: Refutation not found, incomplete strategy
% 15.67/2.71 % (518451)Time elapsed: 0.001 s
% 15.67/2.71 % (518451)Peak memory usage: 11 MB
% 15.67/2.71 % (518451)------------------------------
% 15.67/2.71 % (518451)------------------------------
% 15.67/2.71 % (518453)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2227792993:i=766:bd=all:rtra=on_2979 on theBenchmark for (2979ds/766Mi)
% 15.67/2.71 % (518453)Refutation not found, incomplete strategy
% 15.67/2.71 % (518453)------------------------------
% 15.67/2.71 % (518453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.67/2.71 % (518453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/2.71 % (518453)CaDiCaL version: 2.1.3
% 15.67/2.71 % (518453)Termination reason: Refutation not found, incomplete strategy
% 15.67/2.71 % (518453)Time elapsed: 0.001 s
% 15.67/2.71 % (518453)Peak memory usage: 12 MB
% 15.67/2.71 % (518453)Instructions burned: 1 (million)
% 16.55/2.81 % (518453)------------------------------
% 16.55/2.81 % (518453)------------------------------
% 16.55/2.81 % (518455)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 16.55/2.81 % (518436)Instruction limit reached!
% 16.55/2.81 % (518436)------------------------------
% 16.55/2.81 % (518436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.81 % (518436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.81 % (518436)CaDiCaL version: 2.1.3
% 16.55/2.81 % (518436)Termination reason: Instruction limit
% 16.55/2.81 % (518436)Termination phase: Saturation
% 16.55/2.81 % (518436)Time elapsed: 0.291 s
% 16.55/2.81 % (518436)Peak memory usage: 12 MB
% 16.55/2.81 % (518436)Instructions burned: 693 (million)
% 16.55/2.81 % (518455)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=3066399796: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_2978 on theBenchmark for (2978ds/959Mi)
% 16.55/2.81 % (518455)Refutation not found, incomplete strategy
% 16.55/2.81 % (518455)------------------------------
% 16.55/2.81 % (518455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.81 % (518455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.81 % (518455)CaDiCaL version: 2.1.3
% 16.55/2.81 % (518455)Termination reason: Refutation not found, incomplete strategy
% 16.55/2.81 % (518455)Time elapsed: 0.0000 s
% 16.55/2.81 % (518455)Peak memory usage: 11 MB
% 16.55/2.81 % (518455)------------------------------
% 16.55/2.81 % (518455)------------------------------
% 16.55/2.81 % (518457)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=3881499373:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2978 on theBenchmark for (2978ds/6359Mi)
% 16.55/2.81 % (518458)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=574463614:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2978 on theBenchmark for (2978ds/35Mi)
% 16.55/2.81 % (518458)Refutation not found, incomplete strategy
% 16.55/2.81 % (518458)------------------------------
% 16.55/2.81 % (518458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.81 % (518458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.81 % (518458)CaDiCaL version: 2.1.3
% 16.55/2.81 % (518458)Termination reason: Refutation not found, incomplete strategy
% 16.55/2.81 % (518458)Time elapsed: 0.0000 s
% 16.55/2.81 % (518458)Peak memory usage: 11 MB
% 16.55/2.81 % (518458)------------------------------
% 16.55/2.81 % (518458)------------------------------
% 16.55/2.81 % (518461)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=422677144:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2978 on theBenchmark for (2978ds/53Mi)
% 16.55/2.81 % (518434)Instruction limit reached!
% 16.55/2.81 % (518434)------------------------------
% 16.55/2.81 % (518434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.81 % (518434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.81 % (518434)CaDiCaL version: 2.1.3
% 16.55/2.81 % (518434)Termination reason: Instruction limit
% 16.55/2.81 % (518434)Termination phase: Saturation
% 16.55/2.81 % (518434)Time elapsed: 0.339 s
% 16.55/2.81 % (518434)Peak memory usage: 13 MB
% 16.55/2.81 % (518434)Instructions burned: 858 (million)
% 16.55/2.81 % (518463)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=982863653:s2a=on:i=876:s2at=6:nm=2:rtra=on_2978 on theBenchmark for (2978ds/876Mi)
% 16.55/2.81 % (518461)Instruction limit reached!
% 16.55/2.81 % (518461)------------------------------
% 16.55/2.81 % (518461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.81 % (518461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.81 % (518461)CaDiCaL version: 2.1.3
% 16.55/2.81 % (518461)Termination reason: Instruction limit
% 16.55/2.81 % (518461)Termination phase: Saturation
% 16.55/2.81 % (518461)Time elapsed: 0.030 s
% 16.55/2.81 % (518461)Peak memory usage: 12 MB
% 16.55/2.81 % (518461)Instructions burned: 55 (million)
% 16.55/2.81 % (518465)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4106378354:i=57:ep=R:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/57Mi)
% 16.55/2.88 % (518465)Instruction limit reached!
% 16.55/2.88 % (518465)------------------------------
% 16.55/2.88 % (518465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.88 % (518465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.88 % (518465)CaDiCaL version: 2.1.3
% 16.55/2.88 % (518465)Termination reason: Instruction limit
% 16.55/2.88 % (518465)Termination phase: Saturation
% 16.55/2.88 % (518465)Time elapsed: 0.029 s
% 16.55/2.88 % (518465)Peak memory usage: 12 MB
% 16.55/2.88 % (518465)Instructions burned: 58 (million)
% 16.55/2.88 % (518467)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.55/2.88 % (518467)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2876508736:i=306:bd=all:rtra=on_2977 on theBenchmark for (2977ds/306Mi)
% 16.55/2.88 % (518467)Refutation not found, incomplete strategy
% 16.55/2.88 % (518467)------------------------------
% 16.55/2.88 % (518467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.88 % (518467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.88 % (518467)CaDiCaL version: 2.1.3
% 16.55/2.88 % (518467)Termination reason: Refutation not found, incomplete strategy
% 16.55/2.88 % (518467)Time elapsed: 0.001 s
% 16.55/2.88 % (518467)Peak memory usage: 12 MB
% 16.55/2.88 % (518467)Instructions burned: 1 (million)
% 16.55/2.88 % (518467)------------------------------
% 16.55/2.88 % (518467)------------------------------
% 16.55/2.88 % (518469)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1682403053:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/262Mi)
% 16.55/2.88 % (518469)Refutation not found, incomplete strategy
% 16.55/2.88 % (518469)------------------------------
% 16.55/2.88 % (518469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.88 % (518469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.88 % (518469)CaDiCaL version: 2.1.3
% 16.55/2.88 % (518469)Termination reason: Refutation not found, incomplete strategy
% 16.55/2.88 % (518469)Time elapsed: 0.001 s
% 16.55/2.88 % (518469)Peak memory usage: 11 MB
% 16.55/2.88 % (518469)------------------------------
% 16.55/2.88 % (518469)------------------------------
% 16.55/2.88 % (518471)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 16.55/2.88 % (518471)ott+1002_16_sil=128000:si=on:random_seed=2660481152:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2976 on theBenchmark for (2976ds/409Mi)
% 16.55/2.88 % (518306)Instruction limit reached!
% 16.55/2.88 % (518306)------------------------------
% 16.55/2.88 % (518306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.88 % (518306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.88 % (518306)CaDiCaL version: 2.1.3
% 16.55/2.88 % (518306)Termination reason: Instruction limit
% 16.55/2.88 % (518306)Termination phase: Saturation
% 16.55/2.88 % (518306)Time elapsed: 1.790 s
% 16.55/2.88 % (518306)Peak memory usage: 17 MB
% 16.55/2.88 % (518306)Instructions burned: 9844 (million)
% 16.55/2.88 % (518373)Instruction limit reached!
% 16.55/2.88 % (518373)------------------------------
% 16.55/2.88 % (518373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.88 % (518373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.88 % (518373)CaDiCaL version: 2.1.3
% 16.55/2.88 % (518373)Termination reason: Instruction limit
% 16.55/2.88 % (518373)Termination phase: Saturation
% 16.55/2.88 % (518373)Time elapsed: 1.208 s
% 16.55/2.88 % (518373)Peak memory usage: 18 MB
% 16.55/2.88 % (518373)Instructions burned: 2470 (million)
% 16.55/2.88 % (518473)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=3485663058:s2a=on:i=381:rtra=on_2976 on theBenchmark for (2976ds/381Mi)
% 16.55/2.88 % (518474)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=653363403:cond=on:i=324:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/324Mi)
% 16.55/2.88 % (518449)Instruction limit reached!
% 16.55/2.88 % (518449)------------------------------
% 16.55/2.88 % (518449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.55/2.88 % (518449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/2.88 % (518449)CaDiCaL version: 2.1.3
% 16.55/2.88 % (518449)Termination reason: Instruction limit
% 17.46/2.98 % (518449)Termination phase: Saturation
% 17.46/2.98 % (518449)Time elapsed: 0.452 s
% 17.46/2.98 % (518449)Peak memory usage: 14 MB
% 17.46/2.98 % (518449)Instructions burned: 1144 (million)
% 17.46/2.98 % (518471)Instruction limit reached!
% 17.46/2.98 % (518471)------------------------------
% 17.46/2.98 % (518471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.98 % (518471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.98 % (518471)CaDiCaL version: 2.1.3
% 17.46/2.98 % (518471)Termination reason: Instruction limit
% 17.46/2.98 % (518471)Termination phase: Saturation
% 17.46/2.98 % (518471)Time elapsed: 0.158 s
% 17.46/2.98 % (518471)Peak memory usage: 13 MB
% 17.46/2.98 % (518471)Instructions burned: 410 (million)
% 17.46/2.98 % (518478)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 17.46/2.98 % (518477)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=505103281:i=240:kws=inv_precedence:rtra=on_2975 on theBenchmark for (2975ds/240Mi)
% 17.46/2.98 % (518477)Refutation not found, incomplete strategy
% 17.46/2.98 % (518477)------------------------------
% 17.46/2.98 % (518477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.98 % (518477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.98 % (518477)CaDiCaL version: 2.1.3
% 17.46/2.98 % (518477)Termination reason: Refutation not found, incomplete strategy
% 17.46/2.98 % (518477)Time elapsed: 0.001 s
% 17.46/2.98 % (518477)Peak memory usage: 12 MB
% 17.46/2.98 % (518477)Instructions burned: 1 (million)
% 17.46/2.98 % (518477)------------------------------
% 17.46/2.98 % (518477)------------------------------
% 17.46/2.98 % (518478)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3175821552:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/124Mi)
% 17.46/2.98 % (518480)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2545610880:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2975 on theBenchmark for (2975ds/223Mi)
% 17.46/2.98 % (518474)Instruction limit reached!
% 17.46/2.98 % (518474)------------------------------
% 17.46/2.98 % (518474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.98 % (518474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.98 % (518474)CaDiCaL version: 2.1.3
% 17.46/2.98 % (518474)Termination reason: Instruction limit
% 17.46/2.98 % (518474)Termination phase: Saturation
% 17.46/2.98 % (518474)Time elapsed: 0.117 s
% 17.46/2.98 % (518474)Peak memory usage: 12 MB
% 17.46/2.98 % (518474)Instructions burned: 324 (million)
% 17.46/2.98 % (518483)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2713091149:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2974 on theBenchmark for (2974ds/282Mi)
% 17.46/2.98 % (518478)Instruction limit reached!
% 17.46/2.98 % (518478)------------------------------
% 17.46/2.98 % (518478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.98 % (518478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.98 % (518478)CaDiCaL version: 2.1.3
% 17.46/2.98 % (518478)Termination reason: Instruction limit
% 17.46/2.98 % (518478)Termination phase: Saturation
% 17.46/2.98 % (518478)Time elapsed: 0.048 s
% 17.46/2.98 % (518478)Peak memory usage: 12 MB
% 17.46/2.98 % (518478)Instructions burned: 125 (million)
% 17.46/2.98 % (518485)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=565186502:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/464Mi)
% 17.46/2.98 % (518485)Refutation not found, incomplete strategy
% 17.46/2.98 % (518485)------------------------------
% 17.46/2.98 % (518485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.98 % (518485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.98 % (518485)CaDiCaL version: 2.1.3
% 17.46/2.98 % (518485)Termination reason: Refutation not found, incomplete strategy
% 17.46/2.98 % (518485)Time elapsed: 0.001 s
% 17.46/2.98 % (518485)Peak memory usage: 11 MB
% 17.46/2.98 % (518485)Instructions burned: 1 (million)
% 17.46/2.98 % (518473)Instruction limit reached!
% 17.46/2.98 % (518473)------------------------------
% 17.46/2.98 % (518473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.46/2.98 % (518473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/2.98 % (518473)CaDiCaL version: 2.1.3
% 19.80/3.12 % (518473)Termination reason: Instruction limit
% 19.80/3.12 % (518473)Termination phase: Saturation
% 19.80/3.12 % (518473)Time elapsed: 0.164 s
% 19.80/3.12 % (518473)Peak memory usage: 12 MB
% 19.80/3.12 % (518473)Instructions burned: 385 (million)
% 19.80/3.12 % (518485)------------------------------
% 19.80/3.12 % (518485)------------------------------
% 19.80/3.12 % (518488)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2446806141:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2974 on theBenchmark for (2974ds/280Mi)
% 19.80/3.12 % (518487)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=2771549188:i=88:s2at=3:nm=2:rtra=on:rawr=on_2974 on theBenchmark for (2974ds/88Mi)
% 19.80/3.12 % (518463)Instruction limit reached!
% 19.80/3.12 % (518463)------------------------------
% 19.80/3.12 % (518463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/3.12 % (518463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.12 % (518463)CaDiCaL version: 2.1.3
% 19.80/3.12 % (518463)Termination reason: Instruction limit
% 19.80/3.12 % (518463)Termination phase: Saturation
% 19.80/3.12 % (518463)Time elapsed: 0.382 s
% 19.80/3.12 % (518463)Peak memory usage: 13 MB
% 19.80/3.12 % (518463)Instructions burned: 877 (million)
% 19.80/3.12 % (518480)Instruction limit reached!
% 19.80/3.12 % (518480)------------------------------
% 19.80/3.12 % (518480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/3.12 % (518480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.12 % (518480)CaDiCaL version: 2.1.3
% 19.80/3.12 % (518480)Termination reason: Instruction limit
% 19.80/3.12 % (518480)Termination phase: Saturation
% 19.80/3.12 % (518480)Time elapsed: 0.081 s
% 19.80/3.12 % (518480)Peak memory usage: 13 MB
% 19.80/3.12 % (518480)Instructions burned: 223 (million)
% 19.80/3.12 % (518491)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 19.80/3.12 % (518491)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1840492375:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/4386Mi)
% 19.80/3.12 % (518492)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 19.80/3.12 % (518492)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 19.80/3.12 % (518492)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=238454569:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2974 on theBenchmark for (2974ds/483Mi)
% 19.80/3.12 % (518492)Refutation not found, incomplete strategy
% 19.80/3.12 % (518492)------------------------------
% 19.80/3.12 % (518492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/3.12 % (518492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.12 % (518492)CaDiCaL version: 2.1.3
% 19.80/3.12 % (518492)Termination reason: Refutation not found, incomplete strategy
% 19.80/3.12 % (518492)Time elapsed: 0.001 s
% 19.80/3.12 % (518492)Peak memory usage: 12 MB
% 19.80/3.12 % (518492)------------------------------
% 19.80/3.12 % (518492)------------------------------
% 19.80/3.12 % (518487)Instruction limit reached!
% 19.80/3.12 % (518487)------------------------------
% 19.80/3.12 % (518487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/3.12 % (518487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.12 % (518487)CaDiCaL version: 2.1.3
% 19.80/3.12 % (518487)Termination reason: Instruction limit
% 19.80/3.12 % (518487)Termination phase: Saturation
% 19.80/3.12 % (518487)Time elapsed: 0.040 s
% 19.80/3.12 % (518487)Peak memory usage: 12 MB
% 19.80/3.12 % (518487)Instructions burned: 88 (million)
% 19.80/3.12 % (518495)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=705229038:i=73:rtra=on_2973 on theBenchmark for (2973ds/73Mi)
% 19.80/3.12 % (518495)Refutation not found, incomplete strategy
% 19.80/3.12 % (518495)------------------------------
% 19.80/3.12 % (518495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.80/3.12 % (518495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.32 % (518495)CaDiCaL version: 2.1.3
% 21.38/3.32 % (518495)Termination reason: Refutation not found, incomplete strategy
% 21.38/3.32 % (518495)Time elapsed: 0.001 s
% 21.38/3.32 % (518495)Peak memory usage: 12 MB
% 21.38/3.32 % (518495)Instructions burned: 1 (million)
% 21.38/3.32 % (518495)------------------------------
% 21.38/3.32 % (518495)------------------------------
% 21.38/3.32 % (518496)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=370214890:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2973 on theBenchmark for (2973ds/176Mi)
% 21.38/3.32 % (518488)Instruction limit reached!
% 21.38/3.32 % (518488)------------------------------
% 21.38/3.32 % (518488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.32 % (518488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.32 % (518488)CaDiCaL version: 2.1.3
% 21.38/3.32 % (518488)Termination reason: Instruction limit
% 21.38/3.32 % (518488)Termination phase: Saturation
% 21.38/3.32 % (518488)Time elapsed: 0.075 s
% 21.38/3.32 % (518488)Peak memory usage: 13 MB
% 21.38/3.32 % (518488)Instructions burned: 284 (million)
% 21.38/3.32 % (518498)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 21.38/3.32 % (518498)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2914801637:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2973 on theBenchmark for (2973ds/39Mi)
% 21.38/3.32 % (518500)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3445989370:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2973 on theBenchmark for (2973ds/708Mi)
% 21.38/3.32 % (518483)Instruction limit reached!
% 21.38/3.32 % (518483)------------------------------
% 21.38/3.32 % (518483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.32 % (518483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.32 % (518483)CaDiCaL version: 2.1.3
% 21.38/3.32 % (518483)Termination reason: Instruction limit
% 21.38/3.32 % (518483)Termination phase: Saturation
% 21.38/3.32 % (518483)Time elapsed: 0.130 s
% 21.38/3.32 % (518483)Peak memory usage: 13 MB
% 21.38/3.32 % (518483)Instructions burned: 284 (million)
% 21.38/3.32 % (518498)Instruction limit reached!
% 21.38/3.32 % (518498)------------------------------
% 21.38/3.32 % (518498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.32 % (518498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.32 % (518498)CaDiCaL version: 2.1.3
% 21.38/3.32 % (518498)Termination reason: Instruction limit
% 21.38/3.32 % (518498)Termination phase: Saturation
% 21.38/3.32 % (518498)Time elapsed: 0.021 s
% 21.38/3.32 % (518498)Peak memory usage: 12 MB
% 21.38/3.32 % (518498)Instructions burned: 40 (million)
% 21.38/3.32 % (518503)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
% 21.38/3.32 % (518503)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=771331241:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/252Mi)
% 21.38/3.32 % (518504)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=3317629361:i=823:fsr=off:rtra=on_2973 on theBenchmark for (2973ds/823Mi)
% 21.38/3.32 % (518496)Instruction limit reached!
% 21.38/3.32 % (518496)------------------------------
% 21.38/3.32 % (518496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.32 % (518496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.32 % (518496)CaDiCaL version: 2.1.3
% 21.38/3.32 % (518496)Termination reason: Instruction limit
% 21.38/3.32 % (518496)Termination phase: Saturation
% 21.38/3.32 % (518496)Time elapsed: 0.078 s
% 21.38/3.32 % (518496)Peak memory usage: 12 MB
% 21.38/3.32 % (518496)Instructions burned: 177 (million)
% 21.38/3.32 % (518507)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 21.38/3.32 % (518507)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=1818258484:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/16202Mi)
% 21.38/3.32 % (518507)Refutation not found, incomplete strategy
% 21.38/3.32 % (518507)------------------------------
% 21.38/3.33 % (518507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.33 % (518507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.33 % (518507)CaDiCaL version: 2.1.3
% 21.38/3.33 % (518507)Termination reason: Refutation not found, incomplete strategy
% 21.38/3.33 % (518507)Time elapsed: 0.001 s
% 21.38/3.33 % (518507)Peak memory usage: 11 MB
% 21.38/3.33 % (518507)Instructions burned: 1 (million)
% 21.38/3.33 % (518507)------------------------------
% 21.38/3.33 % (518507)------------------------------
% 21.38/3.33 % (518509)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=44736378:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/300Mi)
% 21.38/3.33 % (518503)Instruction limit reached!
% 21.38/3.33 % (518503)------------------------------
% 21.38/3.33 % (518503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.33 % (518503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.33 % (518503)CaDiCaL version: 2.1.3
% 21.38/3.33 % (518503)Termination reason: Instruction limit
% 21.38/3.33 % (518503)Termination phase: Saturation
% 21.38/3.33 % (518503)Time elapsed: 0.102 s
% 21.38/3.33 % (518503)Peak memory usage: 12 MB
% 21.38/3.33 % (518503)Instructions burned: 254 (million)
% 21.38/3.33 % (518500)Instruction limit reached!
% 21.38/3.33 % (518500)------------------------------
% 21.38/3.33 % (518500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.33 % (518500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.33 % (518500)CaDiCaL version: 2.1.3
% 21.38/3.33 % (518500)Termination reason: Instruction limit
% 21.38/3.33 % (518500)Termination phase: Saturation
% 21.38/3.33 % (518500)Time elapsed: 0.139 s
% 21.38/3.33 % (518500)Peak memory usage: 14 MB
% 21.38/3.33 % (518500)Instructions burned: 711 (million)
% 21.38/3.33 % (518511)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 21.38/3.33 % (518511)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 21.38/3.33 % (518511)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=1767404995:i=177:add=on:bd=preordered:rtra=on:rawr=on_2972 on theBenchmark for (2972ds/177Mi)
% 21.38/3.33 % (518512)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3389311174:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/715Mi)
% 21.38/3.33 % (518512)Refutation not found, incomplete strategy
% 21.38/3.33 % (518512)------------------------------
% 21.38/3.33 % (518512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.33 % (518512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.33 % (518512)CaDiCaL version: 2.1.3
% 21.38/3.33 % (518512)Termination reason: Refutation not found, incomplete strategy
% 21.38/3.33 % (518512)Time elapsed: 0.0000 s
% 21.38/3.33 % (518512)Peak memory usage: 11 MB
% 21.38/3.33 % (518512)Instructions burned: 1 (million)
% 21.38/3.33 % (518512)------------------------------
% 21.38/3.33 % (518512)------------------------------
% 21.38/3.33 % (518515)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 21.38/3.33 % (518515)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 21.38/3.33 % (518515)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=3642492143:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2971 on theBenchmark for (2971ds/230Mi)
% 21.38/3.33 % (518515)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.38/3.33 % (518515)Instruction limit reached!
% 21.38/3.33 % (518515)------------------------------
% 21.38/3.33 % (518515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.33 % (518515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.33 % (518515)CaDiCaL version: 2.1.3
% 21.38/3.33 % (518515)Termination reason: Instruction limit
% 21.38/3.33 % (518515)Termination phase: Saturation
% 21.38/3.33 % (518515)Time elapsed: 0.057 s
% 21.38/3.33 % (518515)Peak memory usage: 13 MB
% 21.38/3.33 % (518515)Instructions burned: 233 (million)
% 21.38/3.33 % (518509)Instruction limit reached!
% 21.38/3.33 % (518509)------------------------------
% 21.38/3.33 % (518509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.33 % (518509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.33 % (518509)CaDiCaL version: 2.1.3
% 21.38/3.33 % (518509)Termination reason: Instruction limit
% 21.38/3.33 % (518509)Termination phase: Saturation
% 21.38/3.33 % (518509)Time elapsed: 0.131 s
% 21.38/3.33 % (518509)Peak memory usage: 12 MB
% 21.38/3.33 % (518509)Instructions burned: 302 (million)
% 21.38/3.33 % (518517)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1420600223:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2971 on theBenchmark for (2971ds/606Mi)
% 21.38/3.33 % (518511)Instruction limit reached!
% 21.38/3.33 % (518511)------------------------------
% 21.38/3.33 % (518511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.33 % (518511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.33 % (518511)CaDiCaL version: 2.1.3
% 21.38/3.33 % (518511)Termination reason: Instruction limit
% 21.38/3.33 % (518511)Termination phase: Saturation
% 21.38/3.33 % (518511)Time elapsed: 0.083 s
% 21.38/3.33 % (518511)Peak memory usage: 12 MB
% 21.38/3.33 % (518511)Instructions burned: 178 (million)
% 21.38/3.33 % (518519)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 21.38/3.33 % (518519)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3650378502:lrd=on:i=841:nm=0:rtra=on_2971 on theBenchmark for (2971ds/841Mi)
% 21.38/3.33 % (518520)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2182772938:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2971 on theBenchmark for (2971ds/445Mi)
% 21.38/3.33 % (518504)Instruction limit reached!
% 21.38/3.33 % (518504)------------------------------
% 21.38/3.33 % (518504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.33 % (518504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.33 % (518504)CaDiCaL version: 2.1.3
% 21.38/3.33 % (518504)Termination reason: Instruction limit
% 21.38/3.33 % (518504)Termination phase: Saturation
% 21.38/3.33 % (518504)Time elapsed: 0.344 s
% 21.38/3.33 % (518504)Peak memory usage: 13 MB
% 21.38/3.33 % (518504)Instructions burned: 824 (million)
% 21.38/3.33 % (518517)Instruction limit reached!
% 21.38/3.33 % (518517)------------------------------
% 21.38/3.33 % (518517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.33 % (518517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.33 % (518517)CaDiCaL version: 2.1.3
% 21.38/3.33 % (518517)Termination reason: Instruction limit
% 21.38/3.33 % (518517)Termination phase: Saturation
% 21.38/3.33 % (518517)Time elapsed: 0.151 s
% 21.38/3.33 % (518517)Peak memory usage: 13 MB
% 21.38/3.33 % (518517)Instructions burned: 607 (million)
% 21.38/3.33 % (518457) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-518136-518457"...
% 21.38/3.33 % (518525)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
% 21.38/3.33 % (518525)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 21.38/3.33 % (518525)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3876406193:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2969 on theBenchmark for (2969ds/100Mi)
% 21.38/3.33 % (518524)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1646713599:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2969 on theBenchmark for (2969ds/71Mi)
% 21.38/3.33 % (518525)Instruction limit reached!
% 21.38/3.33 % (518525)------------------------------
% 21.38/3.33 % (518525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.33 % (518525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.33 % (518525)CaDiCaL version: 2.1.3
% 21.38/3.33 % (518525)Termination reason: Instruction limit
% 21.38/3.33 % (518525)Termination phase: Saturation
% 21.38/3.33 % (518525)Time elapsed: 0.024 s
% 21.38/3.33 % (518525)Peak memory usage: 12 MB
% 21.38/3.33 % (518525)Instructions burned: 100 (million)
% 21.38/3.33 % (518457)...printing done.
% 21.38/3.33 % (518457)Refutation found. Thanks to Tanya!
% 21.38/3.33 % SZS status Unsatisfiable for theBenchmark
% 21.38/3.33 % SZS output start Proof for theBenchmark
% See solution above
% 21.38/3.35 % (518457)------------------------------
% 21.38/3.35 % (518457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.38/3.35 % (518457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.38/3.35 % (518457)CaDiCaL version: 2.1.3
% 21.38/3.35 % (518457)Termination reason: Refutation
% 21.38/3.35 % (518457)Time elapsed: 0.923 s
% 21.38/3.35 % (518457)Peak memory usage: 17 MB
% 21.38/3.35 % (518457)Instructions burned: 1841 (million)
% 21.38/3.35 % (518136)Success in time 3.088 s
% 21.38/3.35 % Vampire exiting
%------------------------------------------------------------------------------