%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA136^1 : 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 07:57:06 AM UTC 2026
% Result : Unsatisfiable 43.94s 7.41s
% Output : Refutation 43.94s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X1: $i,X0: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X3: $i,X2: $i,X0: $i,X1: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X3: $i,X2: $i,X0: $i,X1: $i,X4: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X1 @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i,X1: $i] :
( ( r @ X1 @ X0 )
| ( b @ X1 @ X0 )
| ( X0 = X1 ) ),
inference(rectify,[],[f5]) ).
thf(f9,plain,
! [X1: $i,X0: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X3 @ X1 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X1 @ X0 )
| ~ ( b @ X3 @ X4 ) ),
inference(rectify,[],[f7]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X3 @ X4 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f15,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X3 @ X1 )
| ~ ( r @ X2 @ X0 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X3 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X2 @ X3 ) )
| ( $true
!= ( r @ X3 @ X0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f11]) ).
thf(f19,plain,
! [X4: $i,X2: $i,X0: $i,X1: $i,X3: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) ),
inference(flattening,[],[f13]) ).
thf(f20,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f21,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f15]) ).
thf(f22,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X3 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( $true
!= ( r @ X3 @ X0 ) ) ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X1 @ X4 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X4 @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(rectify,[],[f22]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(rectify,[],[f9]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X3 ) )
| ( ( b @ X1 @ X4 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X4 @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ X3 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f27,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f28,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ X2 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f29,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f30,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f31,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f32,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f31,f32]) ).
thf(f36,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f31,f32]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) ) ),
inference(extensionality_resolution,[],[f31,f30]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X3 ) ) ),
inference(constrained_superposition,[],[f26,f35]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ z @ X3 ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f44,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ z @ X2 ) ) ),
inference(constrained_superposition,[],[f43,f35]) ).
thf(f46,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f44]) ).
thf(f47,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ z @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f46]) ).
thf(f50,definition,
( spl0_1
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f51,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
thf(f53,definition,
( spl0_2
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ z @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f54,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X2 @ z ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
thf(f55,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f47,f53,f50]) ).
thf(f68,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X3 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f26,f36]) ).
thf(f70,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f68]) ).
thf(f85,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) ) ),
inference(extensionality_resolution,[],[f37,f30]) ).
thf(f87,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f37,f32]) ).
thf(f88,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f37,f32]) ).
thf(f97,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X3 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f26,f87]) ).
thf(f98,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f97]) ).
thf(f108,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f98,f87]) ).
thf(f112,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) ),
inference(duplicate_literal_removal,[],[f108]) ).
thf(f113,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f112]) ).
thf(f118,definition,
( spl0_5
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f119,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f121,definition,
( spl0_6
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f122,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f121]) ).
thf(f123,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f113,f121,f118]) ).
thf(f128,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f119,f35]) ).
thf(f132,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f128]) ).
thf(f135,definition,
( spl0_8
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f136,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_8 ),
inference(avatar_component_clause,[],[f135]) ).
thf(f138,definition,
( spl0_9
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f139,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f138]) ).
thf(f140,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f132,f118,f138,f135]) ).
thf(f141,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| spl0_8 ),
inference(constrained_superposition,[],[f136,f36]) ).
thf(f144,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f141]) ).
thf(f146,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl0_8 ),
inference(constrained_superposition,[],[f28,f144]) ).
thf(f147,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f146]) ).
thf(f181,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f70,f88]) ).
thf(f183,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f26,f88]) ).
thf(f184,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f181]) ).
thf(f186,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f183]) ).
thf(f230,definition,
( spl0_12
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ z ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f231,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f230]) ).
thf(f244,definition,
( spl0_13
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f245,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f244]) ).
thf(f247,definition,
( spl0_14
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f248,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_14 ),
inference(avatar_component_clause,[],[f247]) ).
thf(f250,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_14 ),
inference(constrained_superposition,[],[f248,f35]) ).
thf(f253,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_14 ),
inference(trivial_inequality_removal,[],[f250]) ).
thf(f280,definition,
( spl0_16
<=> ! [X1: $i] :
( $true
!= ( r @ z @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f281,plain,
( ! [X1: $i] :
( $true
!= ( r @ z @ X1 ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f280]) ).
thf(f284,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f253,f247,f138]) ).
thf(f286,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f28,f139]) ).
thf(f287,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f286]) ).
thf(f331,definition,
( spl0_17
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f332,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f331]) ).
thf(f336,plain,
( ( $true != $true )
| ~ spl0_9
| ~ spl0_12 ),
inference(constrained_superposition,[],[f231,f139]) ).
thf(f337,plain,
( $false
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f336]) ).
thf(f338,plain,
( ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f337]) ).
thf(f393,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f85,f30]) ).
thf(f395,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(extensionality_resolution,[],[f85,f32]) ).
thf(f396,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f85,f32]) ).
thf(f403,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f51,f85]) ).
thf(f411,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f403]) ).
thf(f420,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f26,f395]) ).
thf(f428,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X3 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f420]) ).
thf(f430,definition,
( spl0_18
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f431,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f430]) ).
thf(f433,definition,
( spl0_19
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f434,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f433]) ).
thf(f437,definition,
( spl0_20
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f438,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f437]) ).
thf(f440,definition,
( spl0_21
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f441,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f440]) ).
thf(f450,definition,
( spl0_24
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f451,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f450]) ).
thf(f453,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_8
| ~ spl0_19 ),
inference(constrained_superposition,[],[f147,f434]) ).
thf(f456,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_8
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f453]) ).
thf(f458,definition,
( spl0_25
<=> ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f459,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_25 ),
inference(avatar_component_clause,[],[f458]) ).
thf(f461,definition,
( spl0_26
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f462,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f461]) ).
thf(f463,plain,
( ~ spl0_25
| spl0_26
| spl0_8
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f456,f433,f135,f461,f458]) ).
thf(f488,definition,
( spl0_28
<=> ! [X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f489,plain,
( ! [X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f488]) ).
thf(f491,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f441,f35]) ).
thf(f494,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f491]) ).
thf(f496,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f428,f395]) ).
thf(f503,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) ),
inference(duplicate_literal_removal,[],[f496]) ).
thf(f504,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f503]) ).
thf(f510,definition,
( spl0_29
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f511,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f510]) ).
thf(f513,definition,
( spl0_30
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f514,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f513]) ).
thf(f515,plain,
( spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f504,f513,f510]) ).
thf(f527,definition,
( spl0_31
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f528,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_31 ),
inference(avatar_component_clause,[],[f527]) ).
thf(f530,definition,
( spl0_32
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f531,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f530]) ).
thf(f534,definition,
( spl0_33
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f535,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f534]) ).
thf(f537,definition,
( spl0_34
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f538,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_34 ),
inference(avatar_component_clause,[],[f537]) ).
thf(f541,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_34 ),
inference(constrained_superposition,[],[f538,f31]) ).
thf(f543,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_34 ),
inference(trivial_inequality_removal,[],[f541]) ).
thf(f546,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f543,f32]) ).
thf(f547,plain,
( $false
| spl0_25
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f546,f459]) ).
thf(f548,plain,
( spl0_25
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f547]) ).
thf(f549,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_31 ),
inference(constrained_superposition,[],[f528,f88]) ).
thf(f554,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_31 ),
inference(trivial_inequality_removal,[],[f549]) ).
thf(f556,definition,
( spl0_35
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f557,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f556]) ).
thf(f560,plain,
( spl0_24
| spl0_31 ),
inference(avatar_split_clause,[],[f554,f527,f450]) ).
thf(f561,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_9
| ~ spl0_24 ),
inference(constrained_superposition,[],[f287,f451]) ).
thf(f562,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f28,f451]) ).
thf(f563,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f562]) ).
thf(f564,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_9
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f561]) ).
thf(f565,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_20 ),
inference(avatar_component_clause,[],[f437]) ).
thf(f566,plain,
( ~ spl0_20
| spl0_26
| ~ spl0_9
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f564,f450,f138,f461,f437]) ).
thf(f631,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f186,f396]) ).
thf(f633,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f70,f396]) ).
thf(f642,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f631]) ).
thf(f647,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f633]) ).
thf(f650,definition,
( spl0_36
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f651,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f650]) ).
thf(f657,definition,
( spl0_38
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f658,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f657]) ).
thf(f660,definition,
( spl0_39
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f661,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_39 ),
inference(avatar_component_clause,[],[f660]) ).
thf(f677,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_39 ),
inference(constrained_superposition,[],[f661,f87]) ).
thf(f681,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_39 ),
inference(trivial_inequality_removal,[],[f677]) ).
thf(f698,definition,
( spl0_41
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f699,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f698]) ).
thf(f701,definition,
( spl0_42
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f702,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f701]) ).
thf(f710,plain,
( spl0_19
| spl0_39 ),
inference(avatar_split_clause,[],[f681,f660,f433]) ).
thf(f712,definition,
( spl0_44
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f713,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f712]) ).
thf(f714,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f458]) ).
thf(f715,plain,
( spl0_44
| spl0_25 ),
inference(avatar_split_clause,[],[f647,f458,f712]) ).
thf(f716,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true ) )
| ~ spl0_24
| ~ spl0_25 ),
inference(constrained_superposition,[],[f563,f714]) ).
thf(f717,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f28,f714]) ).
thf(f718,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_24
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f716]) ).
thf(f719,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f717]) ).
thf(f720,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| ~ spl0_9
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f718,f139]) ).
thf(f721,plain,
( spl0_16
| ~ spl0_9
| ~ spl0_24
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f720,f458,f450,f138,f280]) ).
thf(f723,definition,
( spl0_45
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f724,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f723]) ).
thf(f725,plain,
( spl0_24
| spl0_45 ),
inference(avatar_split_clause,[],[f642,f723,f450]) ).
thf(f736,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f431,f87]) ).
thf(f739,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f736]) ).
thf(f769,definition,
( spl0_46
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f770,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f769]) ).
thf(f774,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f770,f85]) ).
thf(f775,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f770,f395]) ).
thf(f778,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f774]) ).
thf(f782,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f775]) ).
thf(f857,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f778,f87]) ).
thf(f862,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f857]) ).
thf(f898,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f28,f651]) ).
thf(f899,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f898]) ).
thf(f1003,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f514,f87]) ).
thf(f1005,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f514,f35]) ).
thf(f1011,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f1003]) ).
thf(f1012,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f1005]) ).
thf(f1014,plain,
( ~ spl0_31
| spl0_19
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1011,f513,f433,f527]) ).
thf(f1021,plain,
( spl0_20
| ~ spl0_34
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1012,f513,f537,f437]) ).
thf(f1024,plain,
( ( $true != $true )
| ~ spl0_20
| ~ spl0_26 ),
inference(constrained_superposition,[],[f462,f438]) ).
thf(f1031,plain,
( $false
| ~ spl0_20
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1024]) ).
thf(f1032,plain,
( ~ spl0_20
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1031]) ).
thf(f1063,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_32 ),
inference(constrained_superposition,[],[f719,f531]) ).
thf(f1064,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f28,f531]) ).
thf(f1068,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1064]) ).
thf(f1070,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1063]) ).
thf(f1073,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_25
| ~ spl0_32 ),
inference(constrained_superposition,[],[f1070,f531]) ).
thf(f1085,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_32 ),
inference(duplicate_literal_removal,[],[f1073]) ).
thf(f1086,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1085]) ).
thf(f1484,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f411,f35]) ).
thf(f1487,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f1484]) ).
thf(f1576,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(extensionality_resolution,[],[f393,f32]) ).
thf(f1577,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(extensionality_resolution,[],[f393,f32]) ).
thf(f1750,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_24 ),
inference(avatar_component_clause,[],[f450]) ).
thf(f1888,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f122,f1576]) ).
thf(f1889,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f51,f1576]) ).
thf(f1890,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X3 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(constrained_superposition,[],[f26,f1576]) ).
thf(f1892,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f1889]) ).
thf(f1894,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X3 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1890]) ).
thf(f1895,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1888]) ).
thf(f1904,definition,
( spl0_56
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f1905,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f1904]) ).
thf(f1907,definition,
( spl0_57
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f1908,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f1907]) ).
thf(f1909,plain,
( spl0_56
| spl0_57
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1892,f50,f1907,f1904]) ).
thf(f1911,definition,
( spl0_58
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f1912,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f1911]) ).
thf(f1914,definition,
( spl0_59
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f1915,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f1914]) ).
thf(f1916,plain,
( spl0_58
| spl0_59
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1895,f121,f1914,f1911]) ).
thf(f1921,definition,
( spl0_61
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
thf(f1922,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f1921]) ).
thf(f1924,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f1905,f35]) ).
thf(f1926,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f1924]) ).
thf(f1967,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(constrained_superposition,[],[f1894,f1576]) ).
thf(f1975,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) ) ),
inference(duplicate_literal_removal,[],[f1967]) ).
thf(f1976,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1975]) ).
thf(f1985,definition,
( spl0_64
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
thf(f1986,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f1985]) ).
thf(f1988,definition,
( spl0_65
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
thf(f1989,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f1988]) ).
thf(f1990,plain,
( spl0_64
| spl0_65 ),
inference(avatar_split_clause,[],[f1976,f1988,f1985]) ).
thf(f1991,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f1989,f395]) ).
thf(f1993,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f1989,f87]) ).
thf(f1998,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f1993]) ).
thf(f1999,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f1991]) ).
thf(f2006,definition,
( spl0_66
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f2007,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_66 ),
inference(avatar_component_clause,[],[f2006]) ).
thf(f2008,plain,
( spl0_59
| ~ spl0_66
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f1998,f1988,f2006,f1914]) ).
thf(f2010,definition,
( spl0_67
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
thf(f2011,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_67 ),
inference(avatar_component_clause,[],[f2010]) ).
thf(f2012,plain,
( spl0_61
| ~ spl0_67
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f1999,f1988,f2010,f1921]) ).
thf(f2014,definition,
( spl0_68
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f2015,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_68 ),
inference(avatar_component_clause,[],[f2014]) ).
thf(f2034,definition,
( spl0_69
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f2035,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f2034]) ).
thf(f2037,definition,
( spl0_70
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
thf(f2038,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f2037]) ).
thf(f2041,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_9
| ~ spl0_69 ),
inference(constrained_superposition,[],[f287,f2035]) ).
thf(f2043,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_36
| ~ spl0_69 ),
inference(constrained_superposition,[],[f899,f2035]) ).
thf(f2046,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_36
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f2043]) ).
thf(f2047,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_9
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f2041]) ).
thf(f2049,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_19 ),
inference(avatar_component_clause,[],[f433]) ).
thf(f2050,plain,
( spl0_12
| spl0_57
| ~ spl0_19
| ~ spl0_36
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f2046,f2034,f650,f433,f1907,f230]) ).
thf(f2052,definition,
( spl0_71
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f2053,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f2052]) ).
thf(f2054,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_57 ),
inference(avatar_component_clause,[],[f1907]) ).
thf(f2055,plain,
( spl0_71
| ~ spl0_57
| ~ spl0_9
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f2047,f2034,f138,f1907,f2052]) ).
thf(f2076,definition,
( spl0_72
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
thf(f2077,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f2076]) ).
thf(f2081,definition,
( spl0_73
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f2082,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f2081]) ).
thf(f2179,definition,
( spl0_75
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
thf(f2180,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f2179]) ).
thf(f2181,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_61 ),
inference(avatar_component_clause,[],[f1921]) ).
thf(f2190,definition,
( spl0_77
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
thf(f2191,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f2190]) ).
thf(f2199,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| spl0_61 ),
inference(constrained_superposition,[],[f2181,f739]) ).
thf(f2201,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_33
| spl0_61 ),
inference(constrained_superposition,[],[f2181,f535]) ).
thf(f2202,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_21
| spl0_61 ),
inference(constrained_superposition,[],[f2181,f494]) ).
thf(f2205,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ~ spl0_46
| spl0_61 ),
inference(constrained_superposition,[],[f2181,f862]) ).
thf(f2206,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| spl0_61 ),
inference(constrained_superposition,[],[f2181,f1487]) ).
thf(f2213,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ z ) )
| ~ spl0_1
| spl0_61 ),
inference(trivial_inequality_removal,[],[f2206]) ).
thf(f2215,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_33
| spl0_61 ),
inference(trivial_inequality_removal,[],[f2201]) ).
thf(f2216,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_21
| spl0_61 ),
inference(trivial_inequality_removal,[],[f2202]) ).
thf(f2217,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| spl0_61 ),
inference(trivial_inequality_removal,[],[f2199]) ).
thf(f2224,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_46
| spl0_61 ),
inference(trivial_inequality_removal,[],[f2205]) ).
thf(f2232,plain,
( spl0_59
| ~ spl0_18
| spl0_61 ),
inference(avatar_split_clause,[],[f2217,f1921,f430,f1914]) ).
thf(f2236,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_46
| spl0_61 ),
inference(forward_subsumption_resolution,[],[f2224,f32]) ).
thf(f2241,plain,
( spl0_59
| ~ spl0_46
| spl0_61 ),
inference(avatar_split_clause,[],[f2236,f1921,f769,f1914]) ).
thf(f2247,plain,
( spl0_18
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f782,f769,f430]) ).
thf(f2253,plain,
( spl0_57
| ~ spl0_21
| spl0_61 ),
inference(avatar_split_clause,[],[f2216,f1921,f440,f1907]) ).
thf(f2259,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| spl0_61 ),
inference(forward_subsumption_resolution,[],[f2213,f32]) ).
thf(f2264,plain,
( spl0_20
| spl0_57
| ~ spl0_1
| spl0_61 ),
inference(avatar_split_clause,[],[f2259,f1921,f50,f1907,f437]) ).
thf(f2287,plain,
( ( $true != $true )
| ~ spl0_12
| ~ spl0_69 ),
inference(constrained_superposition,[],[f231,f2035]) ).
thf(f2288,plain,
( $false
| ~ spl0_12
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f2287]) ).
thf(f2289,plain,
( ~ spl0_12
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f2288]) ).
thf(f2309,plain,
( $false
| ~ spl0_19
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f434,f462]) ).
thf(f2310,plain,
( ~ spl0_19
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f2309]) ).
thf(f2313,plain,
( ( $true != $true )
| spl0_8
| ~ spl0_16 ),
inference(constrained_superposition,[],[f281,f144]) ).
thf(f2314,plain,
( ( $true != $true )
| ~ spl0_16
| ~ spl0_25 ),
inference(constrained_superposition,[],[f281,f714]) ).
thf(f2315,plain,
( $false
| spl0_8
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f2313]) ).
thf(f2316,plain,
( spl0_8
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2315]) ).
thf(f2317,plain,
( $false
| ~ spl0_16
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f2314]) ).
thf(f2318,plain,
( ~ spl0_16
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f2317]) ).
thf(f2327,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_32
| ~ spl0_57 ),
inference(constrained_superposition,[],[f1068,f1908]) ).
thf(f2330,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_32
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f2327]) ).
thf(f2334,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_32
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f2330,f714]) ).
thf(f2336,plain,
( spl0_69
| spl0_16
| ~ spl0_25
| ~ spl0_32
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f2334,f1907,f530,f458,f280,f2034]) ).
thf(f2338,definition,
( spl0_88
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
thf(f2339,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f2338]) ).
thf(f2341,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_32
| ~ spl0_88 ),
inference(constrained_superposition,[],[f1086,f2339]) ).
thf(f2344,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_88 ),
inference(constrained_superposition,[],[f28,f2339]) ).
thf(f2346,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_32
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f2341]) ).
thf(f2347,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f2344]) ).
thf(f2349,plain,
( spl0_69
| ~ spl0_25
| ~ spl0_32
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f2346,f2338,f530,f458,f2034]) ).
thf(f2352,plain,
( ( $true != $true )
| ~ spl0_57
| ~ spl0_71 ),
inference(constrained_superposition,[],[f2053,f1908]) ).
thf(f2353,plain,
( $false
| ~ spl0_57
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f2352]) ).
thf(f2354,plain,
( ~ spl0_57
| ~ spl0_71 ),
inference(avatar_contradiction_clause,[],[f2353]) ).
thf(f2435,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_13
| spl0_24 ),
inference(constrained_superposition,[],[f1750,f245]) ).
thf(f2437,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_13
| ~ spl0_36 ),
inference(constrained_superposition,[],[f899,f245]) ).
thf(f2438,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f28,f245]) ).
thf(f2440,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f2438]) ).
thf(f2441,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_13
| spl0_24 ),
inference(trivial_inequality_removal,[],[f2435]) ).
thf(f2442,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_13
| ~ spl0_36 ),
inference(duplicate_literal_removal,[],[f2437]) ).
thf(f2443,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_13
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f2442]) ).
thf(f2450,plain,
( spl0_20
| ~ spl0_13
| spl0_24 ),
inference(avatar_split_clause,[],[f2441,f450,f244,f437]) ).
thf(f2452,definition,
( spl0_91
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
thf(f2453,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f2452]) ).
thf(f2455,plain,
( spl0_12
| spl0_91
| ~ spl0_19
| ~ spl0_13
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f2443,f650,f244,f433,f2452,f230]) ).
thf(f2460,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f28,f438]) ).
thf(f2461,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f2460]) ).
thf(f2469,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f119,f31]) ).
thf(f2472,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f2469]) ).
thf(f2475,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f51,f37]) ).
thf(f2490,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f2475]) ).
thf(f2495,definition,
( spl0_93
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
thf(f2496,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f2495]) ).
thf(f2498,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_93 ),
inference(constrained_superposition,[],[f2496,f35]) ).
thf(f2501,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f2498]) ).
thf(f2522,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_69
| ~ spl0_88 ),
inference(constrained_superposition,[],[f2347,f2035]) ).
thf(f2529,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_69
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f2522]) ).
thf(f2531,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| spl0_8
| ~ spl0_69
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f2529,f144]) ).
thf(f2533,plain,
( spl0_12
| spl0_8
| ~ spl0_69
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f2531,f2338,f2034,f135,f230]) ).
thf(f2535,plain,
( spl0_88
| ~ spl0_33
| spl0_61 ),
inference(avatar_split_clause,[],[f2215,f1921,f534,f2338]) ).
thf(f2537,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_12
| ~ spl0_13 ),
inference(constrained_superposition,[],[f231,f245]) ).
thf(f2540,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f2537]) ).
thf(f2541,plain,
( spl0_17
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f2540,f244,f230,f331]) ).
thf(f2550,plain,
( $false
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f451,f231]) ).
thf(f2551,plain,
( ~ spl0_12
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f2550]) ).
thf(f2559,plain,
( $false
| ~ spl0_17
| spl0_57 ),
inference(forward_subsumption_resolution,[],[f2054,f332]) ).
thf(f2560,plain,
( ~ spl0_17
| spl0_57 ),
inference(avatar_contradiction_clause,[],[f2559]) ).
thf(f2611,definition,
( spl0_94
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
thf(f2612,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f2611]) ).
thf(f2761,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f2472,f31]) ).
thf(f2765,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f2761]) ).
thf(f2766,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f2765]) ).
thf(f2771,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_5
| spl0_24 ),
inference(constrained_superposition,[],[f1750,f2766]) ).
thf(f2773,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_25 ),
inference(constrained_superposition,[],[f719,f2766]) ).
thf(f2779,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_5
| spl0_24 ),
inference(trivial_inequality_removal,[],[f2771]) ).
thf(f2785,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f2773]) ).
thf(f2786,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_5
| spl0_19
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f2779,f2049]) ).
thf(f2787,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_5
| spl0_8
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f2785,f144]) ).
thf(f2788,plain,
( spl0_35
| ~ spl0_5
| spl0_19
| spl0_24 ),
inference(avatar_split_clause,[],[f2786,f450,f433,f118,f556]) ).
thf(f2789,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_5
| spl0_8
| spl0_19
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f2787,f2049]) ).
thf(f2790,plain,
( spl0_35
| spl0_12
| ~ spl0_5
| spl0_8
| spl0_19
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f2789,f458,f433,f135,f118,f230,f556]) ).
thf(f2813,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f87,f557]) ).
thf(f2905,definition,
( spl0_101
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
thf(f2906,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_101 ),
inference(avatar_component_clause,[],[f2905]) ).
thf(f2908,definition,
( spl0_102
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
thf(f2909,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f2908]) ).
thf(f2915,definition,
( spl0_103
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
thf(f2916,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_103 ),
inference(avatar_component_clause,[],[f2915]) ).
thf(f2932,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f2813,f29]) ).
thf(f2952,definition,
( spl0_106
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
thf(f2953,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f2952]) ).
thf(f2955,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f2932,f27]) ).
thf(f2956,plain,
~ spl0_35,
inference(avatar_contradiction_clause,[],[f2955]) ).
thf(f2964,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| spl0_8
| ~ spl0_59 ),
inference(constrained_superposition,[],[f147,f1915]) ).
thf(f2965,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f28,f1915]) ).
thf(f2966,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_8
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f2964]) ).
thf(f2967,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f2965]) ).
thf(f2969,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_88 ),
inference(avatar_component_clause,[],[f2338]) ).
thf(f2970,plain,
( spl0_71
| ~ spl0_88
| spl0_8
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f2966,f1914,f135,f2338,f2052]) ).
thf(f2990,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f431,f87]) ).
thf(f2995,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f2990]) ).
thf(f3010,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) ) )
| ( X0 = X1 ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f122,f85]) ).
thf(f3019,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) ) )
| ( X0 = X1 ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f3010]) ).
thf(f3038,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_93 ),
inference(constrained_superposition,[],[f28,f2501]) ).
thf(f3041,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f3038]) ).
thf(f3117,definition,
( spl0_108
<=> ! [X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
thf(f3118,plain,
( ! [X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 ) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f3117]) ).
thf(f3122,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_13
| ~ spl0_108 ),
inference(constrained_superposition,[],[f2440,f3118]) ).
thf(f3128,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_93
| ~ spl0_108 ),
inference(constrained_superposition,[],[f3041,f3118]) ).
thf(f3137,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_93
| ~ spl0_108 ),
inference(duplicate_literal_removal,[],[f3128]) ).
thf(f3138,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_93
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f3137]) ).
thf(f3140,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_13
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f3122]) ).
thf(f3144,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_59
| ~ spl0_93
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f3138,f1915]) ).
thf(f3145,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_13
| spl0_57
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f3140,f2054]) ).
thf(f3146,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_59
| ~ spl0_93
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f3144,f32]) ).
thf(f3148,definition,
( spl0_109
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
thf(f3149,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f3148]) ).
thf(f3150,plain,
( spl0_71
| spl0_109
| ~ spl0_59
| ~ spl0_93
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f3146,f3117,f2495,f1914,f3148,f2052]) ).
thf(f3234,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
!= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f30,f3149]) ).
thf(f3353,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_109 ),
inference(constrained_superposition,[],[f1576,f3149]) ).
thf(f3497,definition,
( spl0_110
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
thf(f3498,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f3497]) ).
thf(f3503,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_9 ),
inference(avatar_component_clause,[],[f138]) ).
thf(f3565,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_72 ),
inference(avatar_component_clause,[],[f2076]) ).
thf(f3579,definition,
( spl0_113
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
thf(f3580,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_113 ),
inference(avatar_component_clause,[],[f3579]) ).
thf(f3750,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_109 ),
inference(equality_resolution,[],[f3234]) ).
thf(f3754,definition,
( spl0_116
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
thf(f3755,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f3754]) ).
thf(f3757,plain,
( spl0_116
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f3750,f3148,f3754]) ).
thf(f3913,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true != $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f2490,f35]) ).
thf(f3915,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f3913]) ).
thf(f3921,definition,
( spl0_118
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
thf(f3922,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_118 ),
inference(avatar_component_clause,[],[f3921]) ).
thf(f3932,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_118 ),
inference(constrained_superposition,[],[f3922,f31]) ).
thf(f3933,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_118 ),
inference(trivial_inequality_removal,[],[f3932]) ).
thf(f3935,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_118 ),
inference(forward_subsumption_resolution,[],[f3933,f32]) ).
thf(f3939,plain,
( $false
| spl0_57
| spl0_118 ),
inference(forward_subsumption_resolution,[],[f3935,f2054]) ).
thf(f3940,plain,
( spl0_57
| spl0_118 ),
inference(avatar_contradiction_clause,[],[f3939]) ).
thf(f3945,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_103 ),
inference(constrained_superposition,[],[f2916,f31]) ).
thf(f3947,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_103 ),
inference(trivial_inequality_removal,[],[f3945]) ).
thf(f4210,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_13
| spl0_57
| ~ spl0_108 ),
inference(constrained_superposition,[],[f3145,f3915]) ).
thf(f4211,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_1
| ~ spl0_13
| spl0_57
| ~ spl0_108 ),
inference(duplicate_literal_removal,[],[f4210]) ).
thf(f4212,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_1
| ~ spl0_13
| spl0_57
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f4211]) ).
thf(f4215,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= z )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_1
| spl0_9
| ~ spl0_13
| spl0_57
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f4212,f3503]) ).
thf(f4216,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_1
| spl0_9
| ~ spl0_13
| spl0_57
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f4215,f32]) ).
thf(f4222,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_1
| spl0_9
| ~ spl0_13
| spl0_57
| ~ spl0_108 ),
inference(constrained_superposition,[],[f4216,f3118]) ).
thf(f4229,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_1
| spl0_9
| ~ spl0_13
| spl0_57
| ~ spl0_108 ),
inference(duplicate_literal_removal,[],[f4222]) ).
thf(f4230,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| spl0_9
| ~ spl0_13
| spl0_57
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f4229]) ).
thf(f4236,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_1
| spl0_9
| ~ spl0_13
| spl0_57
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f4230,f32]) ).
thf(f4318,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X1 ) ) ) )
| ~ spl0_1
| spl0_9
| ~ spl0_13
| spl0_57
| ~ spl0_108 ),
inference(constrained_superposition,[],[f3915,f4236]) ).
thf(f4703,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_1
| spl0_9
| ~ spl0_13
| spl0_57
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f4318,f2054]) ).
thf(f4708,definition,
( spl0_120
<=> ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X1 ) ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
thf(f4709,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f4708]) ).
thf(f4721,plain,
( spl0_120
| ~ spl0_1
| spl0_9
| ~ spl0_13
| spl0_57
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f4703,f3117,f1907,f244,f138,f50,f4708]) ).
thf(f4723,definition,
( spl0_121
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
thf(f4724,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f4723]) ).
thf(f5628,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_20
| ~ spl0_38 ),
inference(constrained_superposition,[],[f2461,f658]) ).
thf(f5639,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_20
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f5628]) ).
thf(f5706,definition,
( spl0_125
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
thf(f5707,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_125 ),
inference(avatar_component_clause,[],[f5706]) ).
thf(f5709,definition,
( spl0_126
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
thf(f5710,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f5709]) ).
thf(f5720,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_20
| ~ spl0_72 ),
inference(constrained_superposition,[],[f2461,f2077]) ).
thf(f5737,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_20
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f5720]) ).
thf(f5878,plain,
( spl0_71
| ~ spl0_57
| ~ spl0_20
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f5737,f2076,f437,f1907,f2052]) ).
thf(f5892,definition,
( spl0_132
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
thf(f5893,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f5892]) ).
thf(f5898,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_57
| ~ spl0_59 ),
inference(constrained_superposition,[],[f2967,f1908]) ).
thf(f5900,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f28,f1908]) ).
thf(f5903,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f5900]) ).
thf(f5904,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_57
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f5898]) ).
thf(f5906,plain,
( spl0_110
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f5903,f1907,f3497]) ).
thf(f5907,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| spl0_8
| ~ spl0_57
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f5904,f144]) ).
thf(f5908,plain,
( spl0_16
| spl0_8
| ~ spl0_57
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f5907,f1914,f1907,f135,f280]) ).
thf(f5919,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f31]) ).
thf(f5920,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f5919]) ).
thf(f6034,plain,
( spl0_132
| ~ spl0_20
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f5639,f657,f437,f5892]) ).
thf(f6041,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) )
| ~ spl0_75
| ~ spl0_132 ),
inference(constrained_superposition,[],[f5893,f2180]) ).
thf(f6049,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_75
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f6041]) ).
thf(f6065,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_75
| ~ spl0_132 ),
inference(constrained_superposition,[],[f6049,f2180]) ).
thf(f6073,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_75
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f6065]) ).
thf(f6080,plain,
( spl0_77
| ~ spl0_75
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f6073,f5892,f2179,f2190]) ).
thf(f6088,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_103 ),
inference(forward_subsumption_resolution,[],[f3947,f32]) ).
thf(f6093,definition,
( spl0_134
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
thf(f6094,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f6093]) ).
thf(f6097,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f3353,f29]) ).
thf(f6103,plain,
( spl0_134
| spl0_103 ),
inference(avatar_split_clause,[],[f6088,f2915,f6093]) ).
thf(f6105,definition,
( spl0_135
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
thf(f6106,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_135 ),
inference(avatar_component_clause,[],[f6105]) ).
thf(f6109,definition,
( spl0_136
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
thf(f6110,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_136 ),
inference(avatar_component_clause,[],[f6109]) ).
thf(f6112,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f6097,f27]) ).
thf(f6120,plain,
( spl0_75
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f6112,f3148,f2179]) ).
thf(f6142,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f5920,f31]) ).
thf(f6145,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f6142]) ).
thf(f6146,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f6145]) ).
thf(f6148,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_2
| spl0_88 ),
inference(constrained_superposition,[],[f2969,f6146]) ).
thf(f6160,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_88 ),
inference(trivial_inequality_removal,[],[f6148]) ).
thf(f6162,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_57
| spl0_88 ),
inference(forward_subsumption_resolution,[],[f6160,f2054]) ).
thf(f6164,plain,
( $false
| ~ spl0_2
| spl0_57
| spl0_88 ),
inference(forward_subsumption_resolution,[],[f6162,f32]) ).
thf(f6165,plain,
( ~ spl0_2
| spl0_57
| spl0_88 ),
inference(avatar_contradiction_clause,[],[f6164]) ).
thf(f6181,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X1 )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f51,f31]) ).
thf(f6182,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f51,f37]) ).
thf(f6183,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f51,f87]) ).
thf(f6184,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true != $true )
| ( X0 = X1 )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f51,f85]) ).
thf(f6191,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f6181]) ).
thf(f6195,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f6182]) ).
thf(f6196,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f6183]) ).
thf(f6198,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f6184]) ).
thf(f6201,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f6191,f31]) ).
thf(f6202,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f6191,f35]) ).
thf(f6203,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X0 )
= ( s @ X1 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f6202]) ).
thf(f6204,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f6201]) ).
thf(f6229,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_1
| spl0_57 ),
inference(constrained_superposition,[],[f2054,f6204]) ).
thf(f6236,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ X3 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( z = X3 )
| ( ( s @ X0 )
= X3 )
| ( $true
= ( r @ X3 @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f28,f6204]) ).
thf(f6241,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_1
| spl0_57 ),
inference(trivial_inequality_removal,[],[f6229]) ).
thf(f6245,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= X3 )
| ( $true
= ( r @ X3 @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ X3 @ ( s @ X0 ) ) )
| ( z = X3 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f6236]) ).
thf(f6252,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f6195,f35]) ).
thf(f6255,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f6252]) ).
thf(f6259,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_1 ),
inference(extensionality_resolution,[],[f6255,f32]) ).
thf(f6260,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_1 ),
inference(extensionality_resolution,[],[f6255,f32]) ).
thf(f6262,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ z ) )
| ~ spl0_1
| spl0_19 ),
inference(constrained_superposition,[],[f2049,f6255]) ).
thf(f6290,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ~ spl0_1
| spl0_19 ),
inference(trivial_inequality_removal,[],[f6262]) ).
thf(f6437,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f28,f2995]) ).
thf(f6439,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f6437]) ).
thf(f6507,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_41
| spl0_61 ),
inference(constrained_superposition,[],[f2181,f699]) ).
thf(f6517,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_41
| spl0_61 ),
inference(trivial_inequality_removal,[],[f6507]) ).
thf(f6525,plain,
( $false
| ~ spl0_41
| spl0_61
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f6517,f3565]) ).
thf(f6526,plain,
( ~ spl0_41
| spl0_61
| spl0_72 ),
inference(avatar_contradiction_clause,[],[f6525]) ).
thf(f6980,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_120 ),
inference(constrained_superposition,[],[f29,f4709]) ).
thf(f6984,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_120 ),
inference(trivial_inequality_removal,[],[f6980]) ).
thf(f7001,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_57
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f6984,f2054]) ).
thf(f7003,plain,
( spl0_121
| spl0_57
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f7001,f4708,f1907,f4723]) ).
thf(f7126,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f395,f2082]) ).
thf(f7309,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f7126,f29]) ).
thf(f7323,definition,
( spl0_143
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f7324,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f7323]) ).
thf(f7370,plain,
( $false
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f7309,f27]) ).
thf(f7371,plain,
~ spl0_73,
inference(avatar_contradiction_clause,[],[f7370]) ).
thf(f7408,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f6198,f35]) ).
thf(f7410,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f7408]) ).
thf(f7423,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_1 ),
inference(extensionality_resolution,[],[f7410,f32]) ).
thf(f7424,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_1 ),
inference(extensionality_resolution,[],[f7410,f32]) ).
thf(f7846,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f98,f1577]) ).
thf(f7856,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f51,f1577]) ).
thf(f7865,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f7846]) ).
thf(f7870,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f7856]) ).
thf(f7876,definition,
( spl0_150
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
thf(f7877,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f7876]) ).
thf(f7892,definition,
( spl0_154
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
thf(f7893,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f7892]) ).
thf(f7894,plain,
( spl0_154
| ~ spl0_118
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f7870,f50,f3921,f7892]) ).
thf(f7898,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_136 ),
inference(constrained_superposition,[],[f6110,f31]) ).
thf(f7899,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_136 ),
inference(trivial_inequality_removal,[],[f7898]) ).
thf(f7903,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_135 ),
inference(constrained_superposition,[],[f6106,f85]) ).
thf(f7904,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_135 ),
inference(constrained_superposition,[],[f6106,f37]) ).
thf(f7908,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| spl0_135 ),
inference(trivial_inequality_removal,[],[f7903]) ).
thf(f7909,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_135 ),
inference(trivial_inequality_removal,[],[f7904]) ).
thf(f7913,plain,
( ( z
= ( s @ z ) )
| spl0_61
| spl0_135 ),
inference(forward_subsumption_resolution,[],[f7908,f2181]) ).
thf(f7914,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_61
| spl0_135 ),
inference(forward_subsumption_resolution,[],[f7909,f2181]) ).
thf(f7916,plain,
( $false
| spl0_61
| spl0_135 ),
inference(forward_subsumption_resolution,[],[f7913,f32]) ).
thf(f7917,plain,
( spl0_61
| spl0_135 ),
inference(avatar_contradiction_clause,[],[f7916]) ).
thf(f7918,plain,
( spl0_35
| spl0_61
| spl0_135 ),
inference(avatar_split_clause,[],[f7914,f6105,f1921,f556]) ).
thf(f7985,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_154 ),
inference(constrained_superposition,[],[f28,f7893]) ).
thf(f7998,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f7985]) ).
thf(f8044,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_150 ),
inference(constrained_superposition,[],[f28,f7877]) ).
thf(f8045,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f8044]) ).
thf(f8239,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) ) )
| ( X0 = X1 ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f3019,f87]) ).
thf(f8243,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f8239]) ).
thf(f9674,plain,
( ( $true != $true )
| ~ spl0_59
| ~ spl0_71 ),
inference(constrained_superposition,[],[f2053,f1915]) ).
thf(f9682,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_71
| ~ spl0_154 ),
inference(constrained_superposition,[],[f2053,f7893]) ).
thf(f9705,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ~ spl0_71
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f9682]) ).
thf(f9708,plain,
( $false
| ~ spl0_59
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f9674]) ).
thf(f9709,plain,
( ~ spl0_59
| ~ spl0_71 ),
inference(avatar_contradiction_clause,[],[f9708]) ).
thf(f9713,plain,
( spl0_75
| ~ spl0_71
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f9705,f7892,f2052,f2179]) ).
thf(f9728,plain,
( spl0_59
| spl0_70
| spl0_136 ),
inference(avatar_split_clause,[],[f7899,f6109,f2037,f1914]) ).
thf(f9752,plain,
( spl0_108
| ~ spl0_1
| spl0_57 ),
inference(avatar_split_clause,[],[f6241,f1907,f50,f3117]) ).
thf(f9760,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_61 ),
inference(constrained_superposition,[],[f28,f1922]) ).
thf(f9761,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f9760]) ).
thf(f9780,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f28,f2191]) ).
thf(f9785,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f9780]) ).
thf(f9792,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_69 ),
inference(avatar_component_clause,[],[f2034]) ).
thf(f9818,definition,
( spl0_200
<=> ! [X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
thf(f9819,plain,
( ! [X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f9818]) ).
thf(f9824,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_59 ),
inference(avatar_component_clause,[],[f1914]) ).
thf(f9834,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_1
| spl0_59 ),
inference(constrained_superposition,[],[f9824,f6255]) ).
thf(f9838,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| spl0_59 ),
inference(trivial_inequality_removal,[],[f9834]) ).
thf(f9850,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_38
| spl0_72 ),
inference(constrained_superposition,[],[f3565,f658]) ).
thf(f9851,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_6
| spl0_72 ),
inference(constrained_superposition,[],[f3565,f8243]) ).
thf(f9856,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_6
| spl0_72 ),
inference(trivial_inequality_removal,[],[f9851]) ).
thf(f9859,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_38
| spl0_72 ),
inference(trivial_inequality_removal,[],[f9850]) ).
thf(f9860,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_6
| spl0_59
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f9856,f9824]) ).
thf(f9861,plain,
( $false
| ~ spl0_38
| spl0_59
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f9859,f9824]) ).
thf(f9862,plain,
( ~ spl0_38
| spl0_59
| spl0_72 ),
inference(avatar_contradiction_clause,[],[f9861]) ).
thf(f9863,plain,
( ( z
= ( s @ z ) )
| ~ spl0_6
| spl0_19
| spl0_59
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f9860,f2049]) ).
thf(f9864,plain,
( $false
| ~ spl0_6
| spl0_19
| spl0_59
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f9863,f32]) ).
thf(f9865,plain,
( ~ spl0_6
| spl0_19
| spl0_59
| spl0_72 ),
inference(avatar_contradiction_clause,[],[f9864]) ).
thf(f12503,definition,
( spl0_216
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X0 @ X2 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
thf(f12504,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ X2 ) ) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f12503]) ).
thf(f12539,definition,
( spl0_221
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
thf(f12540,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f12539]) ).
thf(f13369,plain,
( ( ( s @ z )
!= ( s @ ( s @ z ) ) )
| spl0_35 ),
inference(avatar_component_clause,[],[f556]) ).
thf(f13379,definition,
( spl0_238
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).
thf(f13380,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ X2 ) ) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f13379]) ).
thf(f13392,definition,
( spl0_240
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).
thf(f13393,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f13392]) ).
thf(f13571,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| spl0_35 ),
inference(extensionality_resolution,[],[f6255,f13369]) ).
thf(f13584,definition,
( spl0_252
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_252])],[avatar_definition]) ).
thf(f13585,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_252 ),
inference(avatar_component_clause,[],[f13584]) ).
thf(f13587,definition,
( spl0_253
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).
thf(f13588,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f13587]) ).
thf(f13591,definition,
( spl0_254
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_254])],[avatar_definition]) ).
thf(f13592,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f13591]) ).
thf(f13594,definition,
( spl0_255
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).
thf(f13595,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_255 ),
inference(avatar_component_clause,[],[f13594]) ).
thf(f13612,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_29
| ~ spl0_252 ),
inference(constrained_superposition,[],[f511,f13585]) ).
thf(f13632,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_29
| ~ spl0_252 ),
inference(trivial_inequality_removal,[],[f13612]) ).
thf(f13644,definition,
( spl0_258
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).
thf(f13645,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_258 ),
inference(avatar_component_clause,[],[f13644]) ).
thf(f13648,definition,
( spl0_259
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_259])],[avatar_definition]) ).
thf(f13651,definition,
( spl0_260
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).
thf(f13652,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_260 ),
inference(avatar_component_clause,[],[f13651]) ).
thf(f13658,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f3579]) ).
thf(f13665,definition,
( spl0_263
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).
thf(f13666,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_263 ),
inference(avatar_component_clause,[],[f13665]) ).
thf(f13669,definition,
( spl0_264
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).
thf(f13670,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_264 ),
inference(avatar_component_clause,[],[f13669]) ).
thf(f13672,definition,
( spl0_265
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
thf(f13673,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f13672]) ).
thf(f13679,plain,
( spl0_143
| ~ spl0_260
| ~ spl0_29
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f13632,f13584,f510,f13651,f7323]) ).
thf(f13690,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_77
| ~ spl0_263 ),
inference(constrained_superposition,[],[f9785,f13666]) ).
thf(f13711,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_77
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f13690]) ).
thf(f13721,definition,
( spl0_269
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
thf(f13722,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f13721]) ).
thf(f13724,definition,
( spl0_270
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).
thf(f13725,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f13724]) ).
thf(f13727,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| spl0_8
| ~ spl0_77
| ~ spl0_263 ),
inference(forward_subsumption_resolution,[],[f13711,f144]) ).
thf(f13729,plain,
( spl0_16
| spl0_8
| ~ spl0_77
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f13727,f13665,f2190,f135,f280]) ).
thf(f13730,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_260 ),
inference(constrained_superposition,[],[f13652,f395]) ).
thf(f13737,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_260 ),
inference(trivial_inequality_removal,[],[f13730]) ).
thf(f13739,definition,
( spl0_271
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
thf(f13740,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f13739]) ).
thf(f13744,plain,
( spl0_102
| spl0_260 ),
inference(avatar_split_clause,[],[f13737,f13651,f2908]) ).
thf(f13778,definition,
( spl0_272
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
thf(f13779,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_272 ),
inference(avatar_component_clause,[],[f13778]) ).
thf(f13783,definition,
( spl0_273
<=> ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_273])],[avatar_definition]) ).
thf(f13784,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_273 ),
inference(avatar_component_clause,[],[f13783]) ).
thf(f13832,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_18
| ~ spl0_258 ),
inference(constrained_superposition,[],[f6439,f13645]) ).
thf(f13854,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f13832]) ).
thf(f13910,plain,
( ( $true != $true )
| ~ spl0_126
| ~ spl0_253 ),
inference(constrained_superposition,[],[f5710,f13588]) ).
thf(f13917,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_108
| ~ spl0_126 ),
inference(constrained_superposition,[],[f5710,f3118]) ).
thf(f13920,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_108
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f13917]) ).
thf(f13929,plain,
( $false
| ~ spl0_126
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f13910]) ).
thf(f13930,plain,
( ~ spl0_126
| ~ spl0_253 ),
inference(avatar_contradiction_clause,[],[f13929]) ).
thf(f13944,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_108
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f13920,f32]) ).
thf(f13951,definition,
( spl0_274
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).
thf(f13952,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f13951]) ).
thf(f13958,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_108
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f13944,f5710]) ).
thf(f13964,plain,
( spl0_272
| ~ spl0_108
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f13958,f5709,f3117,f13778]) ).
thf(f14033,plain,
( spl0_20
| spl0_36
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f7424,f50,f650,f437]) ).
thf(f14059,definition,
( spl0_278
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
thf(f14060,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_278 ),
inference(avatar_component_clause,[],[f14059]) ).
thf(f14061,plain,
( spl0_20
| spl0_278
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f7423,f50,f14059,f437]) ).
thf(f14150,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_102 ),
inference(avatar_component_clause,[],[f2908]) ).
thf(f14166,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_18
| spl0_59
| ~ spl0_258 ),
inference(forward_subsumption_resolution,[],[f13854,f9824]) ).
thf(f14167,plain,
( ~ spl0_102
| spl0_126
| ~ spl0_18
| spl0_59
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f14166,f13644,f1914,f430,f5709,f2908]) ).
thf(f14197,plain,
( spl0_9
| spl0_13
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f6260,f50,f244,f138]) ).
thf(f14201,definition,
( spl0_301
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).
thf(f14202,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_301 ),
inference(avatar_component_clause,[],[f14201]) ).
thf(f14203,plain,
( spl0_301
| spl0_9
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f6259,f50,f138,f14201]) ).
thf(f14205,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| spl0_59 ),
inference(forward_subsumption_resolution,[],[f9838,f32]) ).
thf(f14208,plain,
( spl0_93
| spl0_9
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f6196,f50,f138,f2495]) ).
thf(f14215,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f6290,f32]) ).
thf(f14219,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_1
| spl0_57
| spl0_59 ),
inference(forward_subsumption_resolution,[],[f14205,f2054]) ).
thf(f14222,plain,
( spl0_9
| spl0_20
| ~ spl0_1
| spl0_19 ),
inference(avatar_split_clause,[],[f14215,f433,f50,f437,f138]) ).
thf(f14227,plain,
( spl0_9
| ~ spl0_1
| spl0_57
| spl0_59 ),
inference(avatar_split_clause,[],[f14219,f1914,f1907,f50,f138]) ).
thf(f14233,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f28,f438]) ).
thf(f14234,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f14233]) ).
thf(f14243,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f28,f434]) ).
thf(f14246,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f14243]) ).
thf(f14249,plain,
( spl0_240
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f14246,f433,f13392]) ).
thf(f14312,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_70 ),
inference(constrained_superposition,[],[f396,f2038]) ).
thf(f14445,definition,
( spl0_306
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).
thf(f14446,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f14445]) ).
thf(f14506,definition,
( spl0_313
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_313])],[avatar_definition]) ).
thf(f14507,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f14506]) ).
thf(f14533,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[],[f14312,f29]) ).
thf(f14579,plain,
( $false
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[],[f14533,f27]) ).
thf(f14580,plain,
~ spl0_70,
inference(avatar_contradiction_clause,[],[f14579]) ).
thf(f14601,plain,
( ( $true != $true )
| ~ spl0_71
| ~ spl0_258 ),
inference(constrained_superposition,[],[f2053,f13645]) ).
thf(f14602,plain,
( ( $true != $true )
| ~ spl0_61
| ~ spl0_71 ),
inference(constrained_superposition,[],[f2053,f1922]) ).
thf(f14614,plain,
( $false
| ~ spl0_71
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f14601]) ).
thf(f14615,plain,
( ~ spl0_71
| ~ spl0_258 ),
inference(avatar_contradiction_clause,[],[f14614]) ).
thf(f14616,plain,
( $false
| ~ spl0_61
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f14602]) ).
thf(f14617,plain,
( ~ spl0_61
| ~ spl0_71 ),
inference(avatar_contradiction_clause,[],[f14616]) ).
thf(f14680,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f396,f13740]) ).
thf(f14843,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_271 ),
inference(forward_subsumption_resolution,[],[f14680,f29]) ).
thf(f14870,plain,
( $false
| ~ spl0_271 ),
inference(forward_subsumption_resolution,[],[f14843,f27]) ).
thf(f14871,plain,
~ spl0_271,
inference(avatar_contradiction_clause,[],[f14870]) ).
thf(f14875,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f28,f2035]) ).
thf(f14878,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f14875]) ).
thf(f14879,plain,
( spl0_216
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f14878,f2034,f12503]) ).
thf(f14884,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f28,f2180]) ).
thf(f14887,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f14884]) ).
thf(f14957,definition,
( spl0_323
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_323])],[avatar_definition]) ).
thf(f14958,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_323 ),
inference(avatar_component_clause,[],[f14957]) ).
thf(f14976,definition,
( spl0_324
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).
thf(f14977,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f14976]) ).
thf(f15053,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_274 ),
inference(constrained_superposition,[],[f396,f13952]) ).
thf(f15208,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f15053,f29]) ).
thf(f15249,plain,
( $false
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f15208,f27]) ).
thf(f15250,plain,
~ spl0_274,
inference(avatar_contradiction_clause,[],[f15249]) ).
thf(f15265,definition,
( spl0_327
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).
thf(f15266,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_327 ),
inference(avatar_component_clause,[],[f15265]) ).
thf(f15348,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_93 ),
inference(constrained_superposition,[],[f2496,f35]) ).
thf(f15350,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f15348]) ).
thf(f15352,plain,
( spl0_301
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f15350,f2495,f14201]) ).
thf(f15356,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_19
| ~ spl0_20 ),
inference(constrained_superposition,[],[f14234,f434]) ).
thf(f15365,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_19
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f15356]) ).
thf(f15370,definition,
( spl0_328
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).
thf(f15371,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f15370]) ).
thf(f15372,plain,
( spl0_59
| spl0_328 ),
inference(avatar_split_clause,[],[f7865,f15370,f1914]) ).
thf(f15373,plain,
( spl0_12
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f15365,f437,f433,f138,f230]) ).
thf(f15375,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_1
| spl0_9 ),
inference(constrained_superposition,[],[f3503,f6204]) ).
thf(f15376,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_9 ),
inference(trivial_inequality_removal,[],[f15375]) ).
thf(f15377,plain,
( spl0_200
| ~ spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f15376,f138,f50,f9818]) ).
thf(f15379,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f28,f451]) ).
thf(f15380,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f15379]) ).
thf(f15382,plain,
( spl0_238
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f15380,f450,f13379]) ).
thf(f15385,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_59
| ~ spl0_61 ),
inference(constrained_superposition,[],[f9761,f1915]) ).
thf(f15388,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f28,f1915]) ).
thf(f15389,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f15388]) ).
thf(f15392,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_59
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f15385]) ).
thf(f15393,plain,
( spl0_221
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f15389,f1914,f12539]) ).
thf(f15394,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_24
| ~ spl0_59
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f15392,f451]) ).
thf(f15395,plain,
( spl0_12
| ~ spl0_24
| ~ spl0_59
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f15394,f1921,f1914,f450,f230]) ).
thf(f15443,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f28,f139]) ).
thf(f15444,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f15443]) ).
thf(f15446,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_20
| ~ spl0_121 ),
inference(constrained_superposition,[],[f565,f4724]) ).
thf(f15449,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| spl0_20
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f15446]) ).
thf(f15450,plain,
( ( z
= ( s @ z ) )
| spl0_20
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f15449,f30]) ).
thf(f15451,plain,
( $false
| spl0_20
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f15450,f32]) ).
thf(f15452,plain,
( spl0_20
| ~ spl0_121 ),
inference(avatar_contradiction_clause,[],[f15451]) ).
thf(f15476,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f28,f2077]) ).
thf(f15478,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f15476]) ).
thf(f15495,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_102 ),
inference(constrained_superposition,[],[f14150,f7410]) ).
thf(f15498,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_102 ),
inference(trivial_inequality_removal,[],[f15495]) ).
thf(f15558,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_150
| ~ spl0_253 ),
inference(constrained_superposition,[],[f8045,f13588]) ).
thf(f15559,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_154
| ~ spl0_253 ),
inference(constrained_superposition,[],[f7998,f13588]) ).
thf(f15561,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_150
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f15558]) ).
thf(f15564,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_154
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f15559]) ).
thf(f15565,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_258 ),
inference(avatar_component_clause,[],[f13644]) ).
thf(f15566,plain,
( ~ spl0_258
| spl0_126
| spl0_143
| ~ spl0_150
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f15561,f13587,f7876,f7323,f5709,f13644]) ).
thf(f15569,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_150
| spl0_258 ),
inference(constrained_superposition,[],[f15565,f7877]) ).
thf(f15576,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_150
| spl0_258 ),
inference(trivial_inequality_removal,[],[f15569]) ).
thf(f15579,plain,
( $false
| spl0_102
| ~ spl0_150
| spl0_258 ),
inference(forward_subsumption_resolution,[],[f15576,f14150]) ).
thf(f15580,plain,
( spl0_102
| ~ spl0_150
| spl0_258 ),
inference(avatar_contradiction_clause,[],[f15579]) ).
thf(f15605,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_61
| ~ spl0_238 ),
inference(constrained_superposition,[],[f13380,f1922]) ).
thf(f15609,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_61
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f15605]) ).
thf(f15687,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_75
| ~ spl0_313 ),
inference(constrained_superposition,[],[f14887,f14507]) ).
thf(f15689,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_75
| ~ spl0_253 ),
inference(constrained_superposition,[],[f14887,f13588]) ).
thf(f15696,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_75
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f15687]) ).
thf(f15700,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_75
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f15689]) ).
thf(f15702,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_9
| ~ spl0_75
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f15696,f139]) ).
thf(f15704,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ~ spl0_75
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f15700,f2180]) ).
thf(f15706,plain,
( spl0_12
| ~ spl0_9
| ~ spl0_75
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f15702,f14506,f2179,f138,f230]) ).
thf(f15708,plain,
( spl0_270
| ~ spl0_75
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f15704,f13587,f2179,f13724]) ).
thf(f15714,plain,
( spl0_263
| ~ spl0_258
| spl0_126
| ~ spl0_154
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f15564,f13587,f7892,f5709,f13644,f13665]) ).
thf(f15715,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_263 ),
inference(avatar_component_clause,[],[f13665]) ).
thf(f15717,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_134 ),
inference(avatar_component_clause,[],[f6093]) ).
thf(f15719,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_20
| spl0_102 ),
inference(forward_subsumption_resolution,[],[f15498,f565]) ).
thf(f15721,definition,
( spl0_339
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_339])],[avatar_definition]) ).
thf(f15722,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_339 ),
inference(avatar_component_clause,[],[f15721]) ).
thf(f15726,definition,
( spl0_340
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_340])],[avatar_definition]) ).
thf(f15727,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_340 ),
inference(avatar_component_clause,[],[f15726]) ).
thf(f15730,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_20
| spl0_102 ),
inference(forward_subsumption_resolution,[],[f15719,f32]) ).
thf(f15731,plain,
( spl0_134
| ~ spl0_1
| spl0_20
| spl0_102 ),
inference(avatar_split_clause,[],[f15730,f2908,f437,f50,f6093]) ).
thf(f15734,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f28,f6094]) ).
thf(f15735,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f15734]) ).
thf(f15743,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_72
| ~ spl0_216 ),
inference(constrained_superposition,[],[f12504,f2077]) ).
thf(f15750,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f15743]) ).
thf(f15755,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_24
| ~ spl0_72
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f15750,f451]) ).
thf(f15759,plain,
( spl0_26
| ~ spl0_24
| ~ spl0_72
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f15755,f12503,f2076,f450,f461]) ).
thf(f15768,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_134
| ~ spl0_253 ),
inference(constrained_superposition,[],[f15735,f13588]) ).
thf(f15776,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_134
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f15768]) ).
thf(f15788,plain,
( ( $true != $true )
| ~ spl0_263
| ~ spl0_270 ),
inference(constrained_superposition,[],[f13725,f13666]) ).
thf(f15790,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_108
| ~ spl0_270 ),
inference(constrained_superposition,[],[f13725,f3118]) ).
thf(f15793,plain,
( $false
| ~ spl0_263
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f15788]) ).
thf(f15794,plain,
( ~ spl0_263
| ~ spl0_270 ),
inference(avatar_contradiction_clause,[],[f15793]) ).
thf(f15800,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_108
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f15790]) ).
thf(f15806,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_108
| ~ spl0_270 ),
inference(forward_subsumption_resolution,[],[f15800,f32]) ).
thf(f15808,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_108
| ~ spl0_270 ),
inference(forward_subsumption_resolution,[],[f15806,f13725]) ).
thf(f15813,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_108
| ~ spl0_270 ),
inference(constrained_superposition,[],[f1576,f15808]) ).
thf(f15963,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_108
| ~ spl0_270 ),
inference(forward_subsumption_resolution,[],[f15813,f29]) ).
thf(f15987,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_306 ),
inference(avatar_component_clause,[],[f14445]) ).
thf(f15997,plain,
( $false
| ~ spl0_108
| ~ spl0_270 ),
inference(forward_subsumption_resolution,[],[f15963,f27]) ).
thf(f15998,plain,
( ~ spl0_108
| ~ spl0_270 ),
inference(avatar_contradiction_clause,[],[f15997]) ).
thf(f16006,plain,
( spl0_270
| ~ spl0_263
| ~ spl0_134
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f15776,f13587,f6093,f13665,f13724]) ).
thf(f16007,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 ) )
| ~ spl0_1
| spl0_263 ),
inference(constrained_superposition,[],[f15715,f6204]) ).
thf(f16008,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_1
| spl0_263 ),
inference(trivial_inequality_removal,[],[f16007]) ).
thf(f16009,plain,
( spl0_327
| ~ spl0_1
| spl0_263 ),
inference(avatar_split_clause,[],[f16008,f13665,f50,f15265]) ).
thf(f16011,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_116
| ~ spl0_240 ),
inference(constrained_superposition,[],[f13393,f3755]) ).
thf(f16012,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_116
| spl0_263 ),
inference(constrained_superposition,[],[f15715,f3755]) ).
thf(f16020,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_116
| spl0_263 ),
inference(trivial_inequality_removal,[],[f16012]) ).
thf(f16021,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_116
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f16011]) ).
thf(f16024,plain,
( spl0_271
| ~ spl0_116
| spl0_263 ),
inference(avatar_split_clause,[],[f16020,f13665,f3754,f13739]) ).
thf(f16025,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| spl0_8
| ~ spl0_116
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f16021,f144]) ).
thf(f16026,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| spl0_8
| spl0_35
| ~ spl0_116
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f16025,f13369]) ).
thf(f16027,plain,
( spl0_16
| spl0_8
| spl0_35
| ~ spl0_116
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f16026,f13392,f3754,f556,f135,f280]) ).
thf(f16079,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f15721]) ).
thf(f16085,definition,
( spl0_346
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).
thf(f16086,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_346 ),
inference(avatar_component_clause,[],[f16085]) ).
thf(f16088,definition,
( spl0_347
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).
thf(f16089,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_347 ),
inference(avatar_component_clause,[],[f16088]) ).
thf(f16091,definition,
( spl0_348
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_348])],[avatar_definition]) ).
thf(f16092,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_348 ),
inference(avatar_component_clause,[],[f16091]) ).
thf(f16122,definition,
( spl0_356
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_356])],[avatar_definition]) ).
thf(f16123,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_356 ),
inference(avatar_component_clause,[],[f16122]) ).
thf(f16136,definition,
( spl0_360
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_360])],[avatar_definition]) ).
thf(f16137,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_360 ),
inference(avatar_component_clause,[],[f16136]) ).
thf(f16183,definition,
( spl0_364
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_364])],[avatar_definition]) ).
thf(f16184,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_364 ),
inference(avatar_component_clause,[],[f16183]) ).
thf(f16186,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_364 ),
inference(avatar_component_clause,[],[f16183]) ).
thf(f16225,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_143 ),
inference(avatar_component_clause,[],[f7323]) ).
thf(f16245,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f28,f7324]) ).
thf(f16248,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f16245]) ).
thf(f16284,definition,
( spl0_366
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
thf(f16285,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f16284]) ).
thf(f16288,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_263 ),
inference(constrained_superposition,[],[f28,f13666]) ).
thf(f16290,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f16288]) ).
thf(f16338,definition,
( spl0_367
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_367])],[avatar_definition]) ).
thf(f16339,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_367 ),
inference(avatar_component_clause,[],[f16338]) ).
thf(f16366,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_9
| ~ spl0_306 ),
inference(constrained_superposition,[],[f15444,f14446]) ).
thf(f16373,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_9
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f16366]) ).
thf(f16379,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_9
| ~ spl0_134
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f16373,f6094]) ).
thf(f16384,plain,
( spl0_126
| ~ spl0_9
| ~ spl0_134
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f16379,f14445,f6093,f138,f5709]) ).
thf(f16409,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_367 ),
inference(constrained_superposition,[],[f16339,f1577]) ).
thf(f16417,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f16409]) ).
thf(f16422,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_339
| ~ spl0_367 ),
inference(forward_subsumption_resolution,[],[f16417,f15722]) ).
thf(f16424,plain,
( ~ spl0_66
| spl0_339
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f16422,f16338,f15721,f2006]) ).
thf(f16462,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f441,f35]) ).
thf(f16465,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f16462]) ).
thf(f16467,plain,
( spl0_278
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f16465,f440,f14059]) ).
thf(f16625,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_360 ),
inference(constrained_superposition,[],[f16137,f31]) ).
thf(f16628,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_360 ),
inference(trivial_inequality_removal,[],[f16625]) ).
thf(f16631,plain,
( spl0_323
| spl0_348
| spl0_360 ),
inference(avatar_split_clause,[],[f16628,f16136,f16091,f14957]) ).
thf(f16709,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_134
| ~ spl0_313 ),
inference(constrained_superposition,[],[f15735,f14507]) ).
thf(f16716,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_134
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f16709]) ).
thf(f16721,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_9
| ~ spl0_134
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f16716,f139]) ).
thf(f16724,plain,
( spl0_12
| ~ spl0_9
| ~ spl0_134
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f16721,f14506,f6093,f138,f230]) ).
thf(f16730,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_102
| ~ spl0_238 ),
inference(constrained_superposition,[],[f13380,f2909]) ).
thf(f16732,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_102
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f16730]) ).
thf(f16786,definition,
( spl0_371
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_371])],[avatar_definition]) ).
thf(f16787,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_371 ),
inference(avatar_component_clause,[],[f16786]) ).
thf(f16813,definition,
( spl0_372
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_372])],[avatar_definition]) ).
thf(f16814,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_372 ),
inference(avatar_component_clause,[],[f16813]) ).
thf(f16830,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_372 ),
inference(constrained_superposition,[],[f16814,f31]) ).
thf(f16835,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_372 ),
inference(trivial_inequality_removal,[],[f16830]) ).
thf(f16840,plain,
( spl0_356
| spl0_366
| spl0_372 ),
inference(avatar_split_clause,[],[f16835,f16813,f16284,f16122]) ).
thf(f16841,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_143
| ~ spl0_356 ),
inference(constrained_superposition,[],[f16248,f16123]) ).
thf(f16852,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_143
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f16841]) ).
thf(f16853,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_61
| ~ spl0_143
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f16852,f1922]) ).
thf(f16854,plain,
( spl0_71
| ~ spl0_61
| ~ spl0_143
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f16853,f16122,f7323,f1921,f2052]) ).
thf(f16856,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_143
| ~ spl0_348 ),
inference(constrained_superposition,[],[f16248,f16092]) ).
thf(f16857,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true ) )
| ~ spl0_263
| ~ spl0_348 ),
inference(constrained_superposition,[],[f16290,f16092]) ).
thf(f16859,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_348 ),
inference(constrained_superposition,[],[f6245,f16092]) ).
thf(f16862,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_1
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f16859]) ).
thf(f16863,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_143
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f16856]) ).
thf(f16866,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_263
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f16857]) ).
thf(f16868,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_348 ),
inference(forward_subsumption_resolution,[],[f16862,f139]) ).
thf(f16869,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_24
| ~ spl0_143
| ~ spl0_348 ),
inference(forward_subsumption_resolution,[],[f16863,f451]) ).
thf(f16870,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_9
| ~ spl0_263
| ~ spl0_348 ),
inference(forward_subsumption_resolution,[],[f16866,f139]) ).
thf(f16871,plain,
( spl0_327
| spl0_12
| ~ spl0_1
| ~ spl0_9
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f16868,f16091,f138,f50,f230,f15265]) ).
thf(f16872,plain,
( spl0_12
| ~ spl0_24
| ~ spl0_143
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f16869,f16091,f7323,f450,f230]) ).
thf(f16873,plain,
( spl0_12
| ~ spl0_9
| ~ spl0_263
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f16870,f16091,f13665,f138,f230]) ).
thf(f16876,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_371 ),
inference(constrained_superposition,[],[f16787,f85]) ).
thf(f16878,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_371 ),
inference(constrained_superposition,[],[f16787,f31]) ).
thf(f16880,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_371 ),
inference(trivial_inequality_removal,[],[f16876]) ).
thf(f16883,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_371 ),
inference(trivial_inequality_removal,[],[f16878]) ).
thf(f16885,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_35
| spl0_371 ),
inference(forward_subsumption_resolution,[],[f16880,f13369]) ).
thf(f16888,plain,
( spl0_272
| spl0_340
| spl0_371 ),
inference(avatar_split_clause,[],[f16883,f16786,f15726,f13778]) ).
thf(f16889,plain,
( spl0_340
| spl0_35
| spl0_371 ),
inference(avatar_split_clause,[],[f16885,f16786,f556,f15726]) ).
thf(f16900,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_143
| ~ spl0_254 ),
inference(constrained_superposition,[],[f16248,f13592]) ).
thf(f16906,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_143
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f16900]) ).
thf(f16912,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_102
| ~ spl0_143
| ~ spl0_254 ),
inference(forward_subsumption_resolution,[],[f16906,f2909]) ).
thf(f16916,plain,
( spl0_126
| ~ spl0_102
| ~ spl0_143
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f16912,f13591,f7323,f2908,f5709]) ).
thf(f16920,plain,
( ~ spl0_306
| spl0_126
| ~ spl0_102
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f16732,f13379,f2908,f5709,f14445]) ).
thf(f16924,plain,
( ( $true != $true )
| ~ spl0_102
| ~ spl0_126 ),
inference(constrained_superposition,[],[f5710,f2909]) ).
thf(f16926,plain,
( ( $true != $true )
| ~ spl0_126
| ~ spl0_134 ),
inference(constrained_superposition,[],[f5710,f6094]) ).
thf(f16934,plain,
( $false
| ~ spl0_126
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f16926]) ).
thf(f16935,plain,
( ~ spl0_126
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f16934]) ).
thf(f16937,plain,
( $false
| ~ spl0_102
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f16924]) ).
thf(f16938,plain,
( ~ spl0_102
| ~ spl0_126 ),
inference(avatar_contradiction_clause,[],[f16937]) ).
thf(f16958,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_272 ),
inference(constrained_superposition,[],[f1577,f13779]) ).
thf(f17123,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[],[f16958,f29]) ).
thf(f17149,plain,
( $false
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[],[f17123,f27]) ).
thf(f17150,plain,
~ spl0_272,
inference(avatar_contradiction_clause,[],[f17149]) ).
thf(f17168,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_9
| ~ spl0_324 ),
inference(constrained_superposition,[],[f15444,f14977]) ).
thf(f17176,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_9
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f17168]) ).
thf(f17181,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ~ spl0_9
| ~ spl0_263
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f17176,f13666]) ).
thf(f17186,plain,
( spl0_270
| ~ spl0_9
| ~ spl0_263
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f17181,f14976,f13665,f138,f13724]) ).
thf(f17198,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_61
| ~ spl0_200 ),
inference(constrained_superposition,[],[f9761,f9819]) ).
thf(f17208,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_61
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f17198]) ).
thf(f17214,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_61
| ~ spl0_200 ),
inference(forward_subsumption_resolution,[],[f17208,f32]) ).
thf(f17217,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_57
| ~ spl0_61
| ~ spl0_200 ),
inference(forward_subsumption_resolution,[],[f17214,f2054]) ).
thf(f17221,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_24
| spl0_57
| ~ spl0_61
| ~ spl0_200 ),
inference(forward_subsumption_resolution,[],[f17217,f451]) ).
thf(f17222,plain,
( spl0_12
| spl0_70
| ~ spl0_24
| spl0_57
| ~ spl0_61
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f17221,f9818,f1921,f1907,f450,f2037,f230]) ).
thf(f17223,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_113
| ~ spl0_240 ),
inference(constrained_superposition,[],[f13393,f13658]) ).
thf(f17229,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_113
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f17223]) ).
thf(f17233,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_313 ),
inference(avatar_component_clause,[],[f14506]) ).
thf(f17234,plain,
( spl0_126
| ~ spl0_313
| ~ spl0_113
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f17229,f13392,f3579,f14506,f5709]) ).
thf(f17254,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_348 ),
inference(avatar_component_clause,[],[f16091]) ).
thf(f17273,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_356 ),
inference(constrained_superposition,[],[f15478,f16123]) ).
thf(f17278,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f17273]) ).
thf(f17281,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_259 ),
inference(avatar_component_clause,[],[f13648]) ).
thf(f17282,plain,
( ~ spl0_259
| spl0_270
| ~ spl0_72
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f17278,f16122,f2076,f13724,f13648]) ).
thf(f17436,plain,
( spl0_71
| ~ spl0_69
| ~ spl0_61
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f15609,f13379,f1921,f2034,f2052]) ).
thf(f17556,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f431,f87]) ).
thf(f17561,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f17556]) ).
thf(f17569,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_252 ),
inference(constrained_superposition,[],[f122,f13585]) ).
thf(f17570,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_255 ),
inference(constrained_superposition,[],[f122,f13595]) ).
thf(f17575,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_252 ),
inference(trivial_inequality_removal,[],[f17569]) ).
thf(f17579,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f17570]) ).
thf(f17587,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_252
| spl0_348 ),
inference(forward_subsumption_resolution,[],[f17575,f17254]) ).
thf(f17590,plain,
( ~ spl0_101
| ~ spl0_6
| ~ spl0_252
| spl0_348 ),
inference(avatar_split_clause,[],[f17587,f16091,f13584,f121,f2905]) ).
thf(f17595,plain,
( spl0_313
| ~ spl0_360
| ~ spl0_6
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f17579,f13594,f121,f16136,f14506]) ).
thf(f17616,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_1
| spl0_69 ),
inference(constrained_superposition,[],[f9792,f6255]) ).
thf(f17618,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_1
| spl0_69 ),
inference(trivial_inequality_removal,[],[f17616]) ).
thf(f17621,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_1
| spl0_134 ),
inference(constrained_superposition,[],[f15717,f6204]) ).
thf(f17622,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| spl0_134 ),
inference(trivial_inequality_removal,[],[f17621]) ).
thf(f17623,plain,
( spl0_273
| ~ spl0_1
| spl0_134 ),
inference(avatar_split_clause,[],[f17622,f6093,f50,f13783]) ).
thf(f17663,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_221
| ~ spl0_258 ),
inference(constrained_superposition,[],[f12540,f13645]) ).
thf(f17671,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_221
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f17663]) ).
thf(f17673,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_221
| ~ spl0_258
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f17671,f14507]) ).
thf(f17674,plain,
( spl0_126
| ~ spl0_221
| ~ spl0_258
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f17673,f14506,f13644,f12539,f5709]) ).
thf(f17682,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| spl0_143 ),
inference(constrained_superposition,[],[f16225,f7410]) ).
thf(f17687,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| spl0_143 ),
inference(trivial_inequality_removal,[],[f17682]) ).
thf(f17795,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_356 ),
inference(avatar_component_clause,[],[f16122]) ).
thf(f17888,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_132
| ~ spl0_263 ),
inference(constrained_superposition,[],[f5893,f13666]) ).
thf(f17891,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_132
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f17888]) ).
thf(f17892,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ~ spl0_132
| ~ spl0_263
| spl0_348 ),
inference(forward_subsumption_resolution,[],[f17891,f17254]) ).
thf(f17893,plain,
( spl0_270
| ~ spl0_132
| ~ spl0_263
| spl0_348 ),
inference(avatar_split_clause,[],[f17892,f16091,f13665,f5892,f13724]) ).
thf(f17936,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_132
| ~ spl0_134 ),
inference(constrained_superposition,[],[f5893,f6094]) ).
thf(f17938,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f28,f6094]) ).
thf(f17939,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_132
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f17936]) ).
thf(f17940,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f17938]) ).
thf(f17942,plain,
( spl0_126
| spl0_313
| ~ spl0_132
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f17939,f6093,f5892,f14506,f5709]) ).
thf(f17948,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_143 ),
inference(forward_subsumption_resolution,[],[f17687,f32]) ).
thf(f17950,definition,
( spl0_380
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_380])],[avatar_definition]) ).
thf(f17951,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_380 ),
inference(avatar_component_clause,[],[f17950]) ).
thf(f17953,definition,
( spl0_381
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_381])],[avatar_definition]) ).
thf(f17954,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f17953]) ).
thf(f17955,plain,
( spl0_380
| spl0_381 ),
inference(avatar_split_clause,[],[f184,f17953,f17950]) ).
thf(f17958,plain,
( spl0_20
| spl0_263
| ~ spl0_1
| spl0_143 ),
inference(avatar_split_clause,[],[f17948,f7323,f50,f13665,f437]) ).
thf(f18017,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f28,f13658]) ).
thf(f18019,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f18017]) ).
thf(f18138,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_255 ),
inference(constrained_superposition,[],[f98,f13595]) ).
thf(f18145,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f18138]) ).
thf(f18159,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_255
| spl0_348 ),
inference(forward_subsumption_resolution,[],[f18145,f17254]) ).
thf(f18164,plain,
( spl0_347
| spl0_346
| ~ spl0_255
| spl0_348 ),
inference(avatar_split_clause,[],[f18159,f16091,f13594,f16085,f16088]) ).
thf(f18204,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_61
| ~ spl0_221 ),
inference(constrained_superposition,[],[f12540,f1922]) ).
thf(f18209,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_61
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f18204]) ).
thf(f18217,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_19
| ~ spl0_61
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f18209,f434]) ).
thf(f18220,plain,
( spl0_26
| ~ spl0_19
| ~ spl0_61
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f18217,f12539,f1921,f433,f461]) ).
thf(f18288,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_113
| ~ spl0_258 ),
inference(constrained_superposition,[],[f18019,f13645]) ).
thf(f18299,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_113
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f18288]) ).
thf(f18300,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_72
| ~ spl0_113
| ~ spl0_258 ),
inference(forward_subsumption_resolution,[],[f18299,f2077]) ).
thf(f18301,plain,
( spl0_71
| ~ spl0_72
| ~ spl0_113
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f18300,f13644,f3579,f2076,f2052]) ).
thf(f18360,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_57
| ~ spl0_61 ),
inference(constrained_superposition,[],[f9761,f1908]) ).
thf(f18363,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_57
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f18360]) ).
thf(f18394,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f28,f13588]) ).
thf(f18396,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f18394]) ).
thf(f18400,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_254 ),
inference(constrained_superposition,[],[f28,f13592]) ).
thf(f18401,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f18400]) ).
thf(f18411,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| spl0_259 ),
inference(constrained_superposition,[],[f17281,f6255]) ).
thf(f18414,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_259 ),
inference(trivial_inequality_removal,[],[f18411]) ).
thf(f18417,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_20
| spl0_259 ),
inference(forward_subsumption_resolution,[],[f18414,f565]) ).
thf(f18420,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| spl0_20
| spl0_259
| spl0_263 ),
inference(forward_subsumption_resolution,[],[f18417,f15715]) ).
thf(f18424,plain,
( spl0_274
| ~ spl0_1
| spl0_20
| spl0_259
| spl0_263 ),
inference(avatar_split_clause,[],[f18420,f13665,f13648,f437,f50,f13951]) ).
thf(f18439,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_61
| ~ spl0_110 ),
inference(constrained_superposition,[],[f3498,f1922]) ).
thf(f18443,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_61
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f18439]) ).
thf(f18483,definition,
( spl0_388
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_388])],[avatar_definition]) ).
thf(f18484,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_388 ),
inference(avatar_component_clause,[],[f18483]) ).
thf(f18533,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_253
| ~ spl0_364 ),
inference(constrained_superposition,[],[f18396,f16184]) ).
thf(f18536,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) ) )
| ~ spl0_1
| ~ spl0_253 ),
inference(constrained_superposition,[],[f18396,f7410]) ).
thf(f18540,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_253
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f18533]) ).
thf(f18542,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_1
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f18536]) ).
thf(f18545,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| ~ spl0_134
| ~ spl0_253
| ~ spl0_364 ),
inference(forward_subsumption_resolution,[],[f18540,f6094]) ).
thf(f18547,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_134
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f18542,f17940]) ).
thf(f18549,plain,
( spl0_16
| ~ spl0_134
| ~ spl0_253
| ~ spl0_364 ),
inference(avatar_split_clause,[],[f18545,f16183,f13587,f6093,f280]) ).
thf(f18551,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) ) )
| ~ spl0_1
| ~ spl0_134
| ~ spl0_253
| spl0_263 ),
inference(forward_subsumption_resolution,[],[f18547,f15715]) ).
thf(f18553,plain,
( ( $true != $true )
| ~ spl0_16
| ~ spl0_364 ),
inference(constrained_superposition,[],[f281,f16184]) ).
thf(f18554,plain,
( $false
| ~ spl0_16
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f18553]) ).
thf(f18555,plain,
( ~ spl0_16
| ~ spl0_364 ),
inference(avatar_contradiction_clause,[],[f18554]) ).
thf(f18619,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f511,f36]) ).
thf(f18624,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f18619]) ).
thf(f18630,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f18624,f281]) ).
thf(f18632,definition,
( spl0_389
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_389])],[avatar_definition]) ).
thf(f18633,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_389 ),
inference(avatar_component_clause,[],[f18632]) ).
thf(f18634,plain,
( spl0_389
| ~ spl0_34
| ~ spl0_16
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f18630,f510,f280,f537,f18632]) ).
thf(f18640,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_134
| ~ spl0_253
| spl0_263
| ~ spl0_389 ),
inference(constrained_superposition,[],[f18551,f18633]) ).
thf(f18655,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_134
| ~ spl0_253
| spl0_263
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f18640]) ).
thf(f18660,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_1
| ~ spl0_134
| ~ spl0_253
| spl0_263
| ~ spl0_389 ),
inference(forward_subsumption_resolution,[],[f18655,f32]) ).
thf(f18661,plain,
( spl0_26
| ~ spl0_1
| ~ spl0_134
| ~ spl0_253
| spl0_263
| ~ spl0_389 ),
inference(avatar_split_clause,[],[f18660,f18632,f13665,f13587,f6093,f50,f461]) ).
thf(f18691,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_346 ),
inference(constrained_superposition,[],[f16086,f1577]) ).
thf(f18700,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f18691]) ).
thf(f18704,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_339
| ~ spl0_346 ),
inference(forward_subsumption_resolution,[],[f18700,f15722]) ).
thf(f18707,definition,
( spl0_391
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_391])],[avatar_definition]) ).
thf(f18708,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_391 ),
inference(avatar_component_clause,[],[f18707]) ).
thf(f18709,plain,
( ~ spl0_136
| ~ spl0_391
| spl0_339
| ~ spl0_346 ),
inference(avatar_split_clause,[],[f18704,f16085,f15721,f18707,f6109]) ).
thf(f19084,definition,
( spl0_396
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_396])],[avatar_definition]) ).
thf(f19085,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_396 ),
inference(avatar_component_clause,[],[f19084]) ).
thf(f19107,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_391 ),
inference(constrained_superposition,[],[f18708,f85]) ).
thf(f19114,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_391 ),
inference(trivial_inequality_removal,[],[f19107]) ).
thf(f19120,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_35
| spl0_391 ),
inference(forward_subsumption_resolution,[],[f19114,f13369]) ).
thf(f19125,plain,
( $false
| spl0_35
| spl0_258
| spl0_391 ),
inference(forward_subsumption_resolution,[],[f19120,f15565]) ).
thf(f19126,plain,
( spl0_35
| spl0_258
| spl0_391 ),
inference(avatar_contradiction_clause,[],[f19125]) ).
thf(f19270,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_381 ),
inference(constrained_superposition,[],[f17954,f87]) ).
thf(f19289,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_381 ),
inference(duplicate_literal_removal,[],[f19270]) ).
thf(f19290,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f19289]) ).
thf(f19295,definition,
( spl0_399
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_399])],[avatar_definition]) ).
thf(f19296,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_399 ),
inference(avatar_component_clause,[],[f19295]) ).
thf(f19297,plain,
( ~ spl0_8
| spl0_106
| spl0_399
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f19290,f17953,f19295,f2952,f135]) ).
thf(f19632,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_88
| ~ spl0_216 ),
inference(constrained_superposition,[],[f12504,f2339]) ).
thf(f19634,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_88 ),
inference(constrained_superposition,[],[f28,f2339]) ).
thf(f19635,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_88
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f19632]) ).
thf(f19636,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f19634]) ).
thf(f19638,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| ~ spl0_9
| ~ spl0_88
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f19635,f139]) ).
thf(f19639,plain,
( spl0_16
| ~ spl0_9
| ~ spl0_88
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f19638,f12503,f2338,f138,f280]) ).
thf(f19654,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f15371,f1577]) ).
thf(f19660,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_328 ),
inference(duplicate_literal_removal,[],[f19654]) ).
thf(f19661,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f19660]) ).
thf(f19668,definition,
( spl0_408
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_408])],[avatar_definition]) ).
thf(f19669,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_408 ),
inference(avatar_component_clause,[],[f19668]) ).
thf(f19670,plain,
( spl0_408
| ~ spl0_66
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f19661,f15370,f2006,f19668]) ).
thf(f19682,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_408 ),
inference(constrained_superposition,[],[f19669,f36]) ).
thf(f19683,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f19682]) ).
thf(f19693,definition,
( spl0_410
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_410])],[avatar_definition]) ).
thf(f19694,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_410 ),
inference(avatar_component_clause,[],[f19693]) ).
thf(f19695,plain,
( ~ spl0_8
| spl0_410
| ~ spl0_68
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f19683,f19668,f2014,f19693,f135]) ).
thf(f19696,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_19
| ~ spl0_388 ),
inference(constrained_superposition,[],[f2049,f18484]) ).
thf(f19701,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_348
| ~ spl0_388 ),
inference(constrained_superposition,[],[f17254,f18484]) ).
thf(f19715,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_348
| ~ spl0_388 ),
inference(trivial_inequality_removal,[],[f19701]) ).
thf(f19723,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_19
| ~ spl0_388 ),
inference(trivial_inequality_removal,[],[f19696]) ).
thf(f19724,plain,
( $false
| spl0_348
| spl0_364
| ~ spl0_388 ),
inference(forward_subsumption_resolution,[],[f19715,f16186]) ).
thf(f19725,plain,
( spl0_348
| spl0_364
| ~ spl0_388 ),
inference(avatar_contradiction_clause,[],[f19724]) ).
thf(f19727,plain,
( $false
| spl0_19
| spl0_25
| ~ spl0_388 ),
inference(forward_subsumption_resolution,[],[f19723,f459]) ).
thf(f19728,plain,
( spl0_19
| spl0_25
| ~ spl0_388 ),
inference(avatar_contradiction_clause,[],[f19727]) ).
thf(f19733,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| spl0_8 ),
inference(constrained_superposition,[],[f136,f36]) ).
thf(f19736,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f19733]) ).
thf(f19738,plain,
( spl0_380
| spl0_8 ),
inference(avatar_split_clause,[],[f19736,f135,f17950]) ).
thf(f19739,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_380 ),
inference(constrained_superposition,[],[f28,f17951]) ).
thf(f19740,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f19739]) ).
thf(f19747,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_19
| ~ spl0_301 ),
inference(constrained_superposition,[],[f2049,f14202]) ).
thf(f19752,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_301
| spl0_348 ),
inference(constrained_superposition,[],[f17254,f14202]) ).
thf(f19769,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_301
| spl0_348 ),
inference(trivial_inequality_removal,[],[f19752]) ).
thf(f19771,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_19
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f19747]) ).
thf(f19777,plain,
( $false
| spl0_263
| ~ spl0_301
| spl0_348 ),
inference(forward_subsumption_resolution,[],[f19769,f15715]) ).
thf(f19778,plain,
( spl0_263
| ~ spl0_301
| spl0_348 ),
inference(avatar_contradiction_clause,[],[f19777]) ).
thf(f19779,plain,
( $false
| spl0_19
| spl0_20
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f19771,f565]) ).
thf(f19780,plain,
( spl0_19
| spl0_20
| ~ spl0_301 ),
inference(avatar_contradiction_clause,[],[f19779]) ).
thf(f20398,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_19
| ~ spl0_399 ),
inference(constrained_superposition,[],[f2049,f19296]) ).
thf(f20400,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_59
| ~ spl0_399 ),
inference(constrained_superposition,[],[f9824,f19296]) ).
thf(f20401,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_110
| ~ spl0_399 ),
inference(constrained_superposition,[],[f3498,f19296]) ).
thf(f20406,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_313
| ~ spl0_399 ),
inference(constrained_superposition,[],[f17233,f19296]) ).
thf(f20416,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_110
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f20401]) ).
thf(f20419,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_19
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f20398]) ).
thf(f20427,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_313
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f20406]) ).
thf(f20428,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_59
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f20400]) ).
thf(f20431,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| spl0_69
| ~ spl0_110
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f20416,f9792]) ).
thf(f20433,plain,
( $false
| spl0_19
| spl0_24
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f20419,f1750]) ).
thf(f20434,plain,
( spl0_19
| spl0_24
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f20433]) ).
thf(f20440,plain,
( $false
| spl0_306
| spl0_313
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f20427,f15987]) ).
thf(f20441,plain,
( spl0_306
| spl0_313
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f20440]) ).
thf(f20442,plain,
( $false
| spl0_59
| spl0_69
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f20428,f9792]) ).
thf(f20443,plain,
( spl0_59
| spl0_69
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f20442]) ).
thf(f20445,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_9
| spl0_69
| ~ spl0_110
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f20431,f139]) ).
thf(f20450,plain,
( spl0_12
| ~ spl0_9
| spl0_69
| ~ spl0_110
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f20445,f19295,f3497,f2034,f138,f230]) ).
thf(f20955,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ ( s @ z ) ) )
| spl0_73 ),
inference(avatar_component_clause,[],[f2081]) ).
thf(f21016,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_73 ),
inference(extensionality_resolution,[],[f7410,f20955]) ).
thf(f21017,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_73 ),
inference(extensionality_resolution,[],[f7410,f20955]) ).
thf(f21019,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| spl0_73 ),
inference(extensionality_resolution,[],[f6198,f20955]) ).
thf(f21023,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| spl0_73 ),
inference(extensionality_resolution,[],[f6195,f20955]) ).
thf(f21024,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_73 ),
inference(extensionality_resolution,[],[f393,f20955]) ).
thf(f21025,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_73 ),
inference(extensionality_resolution,[],[f393,f20955]) ).
thf(f21026,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_73 ),
inference(extensionality_resolution,[],[f85,f20955]) ).
thf(f21027,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_73 ),
inference(extensionality_resolution,[],[f85,f20955]) ).
thf(f21033,definition,
( spl0_420
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_420])],[avatar_definition]) ).
thf(f21034,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_420 ),
inference(avatar_component_clause,[],[f21033]) ).
thf(f21036,definition,
( spl0_421
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_421])],[avatar_definition]) ).
thf(f21037,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_421 ),
inference(avatar_component_clause,[],[f21036]) ).
thf(f21038,plain,
( spl0_420
| spl0_421
| spl0_73 ),
inference(avatar_split_clause,[],[f21024,f2081,f21036,f21033]) ).
thf(f21040,definition,
( spl0_422
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_422])],[avatar_definition]) ).
thf(f21041,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_422 ),
inference(avatar_component_clause,[],[f21040]) ).
thf(f21043,definition,
( spl0_423
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_423])],[avatar_definition]) ).
thf(f21044,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_423 ),
inference(avatar_component_clause,[],[f21043]) ).
thf(f21045,plain,
( spl0_422
| spl0_423
| spl0_73 ),
inference(avatar_split_clause,[],[f21025,f2081,f21043,f21040]) ).
thf(f21048,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_253
| ~ spl0_421 ),
inference(constrained_superposition,[],[f18396,f21037]) ).
thf(f21050,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_421 ),
inference(constrained_superposition,[],[f28,f21037]) ).
thf(f21051,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_253
| ~ spl0_421 ),
inference(trivial_inequality_removal,[],[f21048]) ).
thf(f21053,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_421 ),
inference(trivial_inequality_removal,[],[f21050]) ).
thf(f21056,definition,
( spl0_424
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_424])],[avatar_definition]) ).
thf(f21057,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ~ spl0_424 ),
inference(avatar_component_clause,[],[f21056]) ).
thf(f21059,definition,
( spl0_425
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_425])],[avatar_definition]) ).
thf(f21060,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_425 ),
inference(avatar_component_clause,[],[f21059]) ).
thf(f21061,plain,
( spl0_424
| ~ spl0_425
| ~ spl0_253
| ~ spl0_421 ),
inference(avatar_split_clause,[],[f21051,f21036,f13587,f21059,f21056]) ).
thf(f21063,definition,
( spl0_426
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_426])],[avatar_definition]) ).
thf(f21064,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_426 ),
inference(avatar_component_clause,[],[f21063]) ).
thf(f21066,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| spl0_426 ),
inference(constrained_superposition,[],[f21064,f7410]) ).
thf(f21070,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| spl0_426 ),
inference(trivial_inequality_removal,[],[f21066]) ).
thf(f21073,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| spl0_20
| spl0_426 ),
inference(forward_subsumption_resolution,[],[f21070,f565]) ).
thf(f21076,definition,
( spl0_427
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_427])],[avatar_definition]) ).
thf(f21077,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_427 ),
inference(avatar_component_clause,[],[f21076]) ).
thf(f21079,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_20
| spl0_426 ),
inference(forward_subsumption_resolution,[],[f21073,f32]) ).
thf(f21081,definition,
( spl0_428
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_428])],[avatar_definition]) ).
thf(f21082,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_428 ),
inference(avatar_component_clause,[],[f21081]) ).
thf(f21084,plain,
( spl0_427
| ~ spl0_1
| spl0_20
| spl0_426 ),
inference(avatar_split_clause,[],[f21079,f21063,f437,f50,f21076]) ).
thf(f21087,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_427 ),
inference(constrained_superposition,[],[f28,f21077]) ).
thf(f21090,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f21087]) ).
thf(f21091,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_425 ),
inference(constrained_superposition,[],[f21060,f7410]) ).
thf(f21096,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_425 ),
inference(trivial_inequality_removal,[],[f21091]) ).
thf(f21097,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_254
| ~ spl0_422 ),
inference(constrained_superposition,[],[f18401,f21041]) ).
thf(f21103,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_254
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f21097]) ).
thf(f21108,definition,
( spl0_429
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_429])],[avatar_definition]) ).
thf(f21109,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_429 ),
inference(avatar_component_clause,[],[f21108]) ).
thf(f21112,definition,
( spl0_430
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_430])],[avatar_definition]) ).
thf(f21113,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_430 ),
inference(avatar_component_clause,[],[f21112]) ).
thf(f21114,plain,
( spl0_424
| ~ spl0_430
| ~ spl0_254
| ~ spl0_422 ),
inference(avatar_split_clause,[],[f21103,f21040,f13591,f21112,f21056]) ).
thf(f21125,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_430 ),
inference(constrained_superposition,[],[f21113,f7410]) ).
thf(f21128,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_430 ),
inference(trivial_inequality_removal,[],[f21125]) ).
thf(f21133,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_421
| ~ spl0_427 ),
inference(constrained_superposition,[],[f21090,f21037]) ).
thf(f21139,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_421
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f21133]) ).
thf(f21148,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_421
| ~ spl0_427 ),
inference(constrained_superposition,[],[f21053,f21077]) ).
thf(f21156,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_421
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f21148]) ).
thf(f21244,definition,
( spl0_431
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_431])],[avatar_definition]) ).
thf(f21245,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_431 ),
inference(avatar_component_clause,[],[f21244]) ).
thf(f21265,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_36
| ~ spl0_253 ),
inference(constrained_superposition,[],[f18396,f651]) ).
thf(f21268,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f28,f651]) ).
thf(f21269,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f21268]) ).
thf(f21278,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_36
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f21265]) ).
thf(f21289,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_36
| ~ spl0_253 ),
inference(constrained_superposition,[],[f21269,f13588]) ).
thf(f21302,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_36
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f21289]) ).
thf(f21358,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_36
| ~ spl0_253
| spl0_263 ),
inference(forward_subsumption_resolution,[],[f21302,f15715]) ).
thf(f21359,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f5706]) ).
thf(f21361,plain,
( spl0_254
| spl0_255
| spl0_73 ),
inference(avatar_split_clause,[],[f21026,f2081,f13594,f13591]) ).
thf(f21365,plain,
( spl0_126
| ~ spl0_113
| ~ spl0_36
| ~ spl0_253
| spl0_263 ),
inference(avatar_split_clause,[],[f21358,f13665,f13587,f650,f3579,f5709]) ).
thf(f21367,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_36
| ~ spl0_253
| spl0_263 ),
inference(forward_subsumption_resolution,[],[f21278,f15715]) ).
thf(f21368,plain,
( spl0_26
| ~ spl0_102
| ~ spl0_36
| ~ spl0_253
| spl0_263 ),
inference(avatar_split_clause,[],[f21367,f13665,f13587,f650,f2908,f461]) ).
thf(f21371,plain,
( ( $true != $true )
| ~ spl0_26
| ~ spl0_72 ),
inference(constrained_superposition,[],[f462,f2077]) ).
thf(f21378,plain,
( $false
| ~ spl0_26
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f21371]) ).
thf(f21379,plain,
( ~ spl0_26
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f21378]) ).
thf(f21390,plain,
( spl0_253
| spl0_252
| spl0_73 ),
inference(avatar_split_clause,[],[f21027,f2081,f13584,f13587]) ).
thf(f21393,plain,
( ~ spl0_364
| spl0_16
| ~ spl0_421
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f21156,f21076,f21036,f280,f16183]) ).
thf(f21400,plain,
( spl0_270
| ~ spl0_263
| ~ spl0_421
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f21139,f21076,f21036,f13665,f13724]) ).
thf(f21408,plain,
( ~ spl0_103
| spl0_263
| spl0_253
| ~ spl0_1
| spl0_73 ),
inference(avatar_split_clause,[],[f21019,f2081,f50,f13587,f13665,f2915]) ).
thf(f21420,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_427 ),
inference(avatar_component_clause,[],[f21076]) ).
thf(f21537,plain,
( $false
| ~ spl0_91
| spl0_427 ),
inference(forward_subsumption_resolution,[],[f21420,f2453]) ).
thf(f21538,plain,
( ~ spl0_91
| spl0_427 ),
inference(avatar_contradiction_clause,[],[f21537]) ).
thf(f21549,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_263 ),
inference(constrained_superposition,[],[f28,f13666]) ).
thf(f21551,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f21549]) ).
thf(f21582,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_134
| ~ spl0_340 ),
inference(constrained_superposition,[],[f17940,f15727]) ).
thf(f21588,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_340 ),
inference(constrained_superposition,[],[f28,f15727]) ).
thf(f21589,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f21588]) ).
thf(f21593,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_134
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f21582]) ).
thf(f21595,plain,
( spl0_396
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f21589,f15726,f19084]) ).
thf(f21597,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_57
| ~ spl0_134
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f21593,f1908]) ).
thf(f21599,plain,
( spl0_71
| ~ spl0_57
| ~ spl0_134
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f21597,f15726,f6093,f1907,f2052]) ).
thf(f21600,plain,
( spl0_16
| ~ spl0_25
| ~ spl0_57
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f18363,f1921,f1907,f458,f280]) ).
thf(f21610,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_427
| spl0_430 ),
inference(forward_subsumption_resolution,[],[f21128,f21420]) ).
thf(f21614,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_425
| spl0_427 ),
inference(forward_subsumption_resolution,[],[f21096,f21420]) ).
thf(f21616,plain,
( spl0_271
| spl0_134
| ~ spl0_1
| spl0_427
| spl0_430 ),
inference(avatar_split_clause,[],[f21610,f21112,f21076,f50,f6093,f13739]) ).
thf(f21623,plain,
( spl0_134
| spl0_271
| ~ spl0_1
| spl0_425
| spl0_427 ),
inference(avatar_split_clause,[],[f21614,f21076,f21059,f50,f13739,f6093]) ).
thf(f21661,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_88
| ~ spl0_340 ),
inference(constrained_superposition,[],[f19636,f15727]) ).
thf(f21664,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_88
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f21661]) ).
thf(f21672,plain,
( ~ spl0_125
| spl0_126
| ~ spl0_88
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f21664,f15726,f2338,f5709,f5706]) ).
thf(f21692,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_258 ),
inference(constrained_superposition,[],[f15565,f6255]) ).
thf(f21694,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| spl0_258 ),
inference(trivial_inequality_removal,[],[f21692]) ).
thf(f21696,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_33
| spl0_143 ),
inference(constrained_superposition,[],[f16225,f535]) ).
thf(f21702,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_33
| spl0_143 ),
inference(trivial_inequality_removal,[],[f21696]) ).
thf(f21716,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_110
| ~ spl0_339 ),
inference(constrained_superposition,[],[f3498,f16079]) ).
thf(f21726,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_110
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f21716]) ).
thf(f21729,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ~ spl0_110
| ~ spl0_263
| ~ spl0_339 ),
inference(forward_subsumption_resolution,[],[f21726,f13666]) ).
thf(f21732,plain,
( spl0_270
| ~ spl0_110
| ~ spl0_263
| ~ spl0_339 ),
inference(avatar_split_clause,[],[f21729,f15721,f13665,f3497,f13724]) ).
thf(f21746,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_67 ),
inference(constrained_superposition,[],[f2011,f31]) ).
thf(f21749,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_67 ),
inference(trivial_inequality_removal,[],[f21746]) ).
thf(f21753,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_67
| spl0_73 ),
inference(forward_subsumption_resolution,[],[f21749,f20955]) ).
thf(f21755,plain,
( spl0_72
| spl0_67
| spl0_73 ),
inference(avatar_split_clause,[],[f21753,f2081,f2010,f2076]) ).
thf(f21759,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f28,f2077]) ).
thf(f21762,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f21759]) ).
thf(f21783,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_313
| ~ spl0_380 ),
inference(constrained_superposition,[],[f19740,f14507]) ).
thf(f21789,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_313
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f21783]) ).
thf(f21822,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_88
| ~ spl0_356 ),
inference(constrained_superposition,[],[f19636,f16123]) ).
thf(f21829,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_88
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f21822]) ).
thf(f21837,plain,
( ~ spl0_364
| spl0_270
| ~ spl0_88
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f21829,f16122,f2338,f13724,f16183]) ).
thf(f21838,plain,
( spl0_364
| ~ spl0_33
| spl0_143 ),
inference(avatar_split_clause,[],[f21702,f7323,f534,f16183]) ).
thf(f21862,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f16089,f1577]) ).
thf(f21867,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f21862]) ).
thf(f21874,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_258
| ~ spl0_347 ),
inference(forward_subsumption_resolution,[],[f21867,f15565]) ).
thf(f21875,plain,
( ~ spl0_66
| spl0_258
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f21874,f16088,f13644,f2006]) ).
thf(f21944,plain,
( spl0_126
| ~ spl0_125
| ~ spl0_313
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f21789,f17950,f14506,f5706,f5709]) ).
thf(f21984,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_64
| ~ spl0_420 ),
inference(constrained_superposition,[],[f1986,f21034]) ).
thf(f21997,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_64
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f21984]) ).
thf(f22011,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_429 ),
inference(avatar_component_clause,[],[f21108]) ).
thf(f22027,definition,
( spl0_450
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_450])],[avatar_definition]) ).
thf(f22036,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_426 ),
inference(avatar_component_clause,[],[f21063]) ).
thf(f22048,definition,
( spl0_455
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_455])],[avatar_definition]) ).
thf(f22049,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_455 ),
inference(avatar_component_clause,[],[f22048]) ).
thf(f22051,definition,
( spl0_456
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_456])],[avatar_definition]) ).
thf(f22052,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_456 ),
inference(avatar_component_clause,[],[f22051]) ).
thf(f22070,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_456 ),
inference(constrained_superposition,[],[f22052,f87]) ).
thf(f22074,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_456 ),
inference(trivial_inequality_removal,[],[f22070]) ).
thf(f22080,plain,
( spl0_431
| spl0_456 ),
inference(avatar_split_clause,[],[f22074,f22051,f21244]) ).
thf(f22138,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_64
| ~ spl0_423 ),
inference(constrained_superposition,[],[f1986,f21044]) ).
thf(f22155,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_64
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f22138]) ).
thf(f22216,plain,
( ( $true != $true )
| ~ spl0_424
| ~ spl0_431 ),
inference(constrained_superposition,[],[f21057,f21245]) ).
thf(f22217,plain,
( ( $true != $true )
| ~ spl0_424
| ~ spl0_429 ),
inference(constrained_superposition,[],[f21057,f22011]) ).
thf(f22221,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_28
| ~ spl0_424 ),
inference(constrained_superposition,[],[f21057,f489]) ).
thf(f22227,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_28
| ~ spl0_424 ),
inference(trivial_inequality_removal,[],[f22221]) ).
thf(f22228,plain,
( $false
| ~ spl0_424
| ~ spl0_429 ),
inference(trivial_inequality_removal,[],[f22217]) ).
thf(f22229,plain,
( ~ spl0_424
| ~ spl0_429 ),
inference(avatar_contradiction_clause,[],[f22228]) ).
thf(f22230,plain,
( $false
| ~ spl0_424
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f22216]) ).
thf(f22231,plain,
( ~ spl0_424
| ~ spl0_431 ),
inference(avatar_contradiction_clause,[],[f22230]) ).
thf(f22236,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_28
| ~ spl0_424
| spl0_427 ),
inference(forward_subsumption_resolution,[],[f22227,f21420]) ).
thf(f22237,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_28
| ~ spl0_424
| spl0_427 ),
inference(forward_subsumption_resolution,[],[f22236,f32]) ).
thf(f22238,plain,
( spl0_428
| ~ spl0_28
| ~ spl0_424
| spl0_427 ),
inference(avatar_split_clause,[],[f22237,f21076,f21056,f488,f21081]) ).
thf(f22257,definition,
( spl0_467
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_467])],[avatar_definition]) ).
thf(f22258,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_467 ),
inference(avatar_component_clause,[],[f22257]) ).
thf(f22370,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_366 ),
inference(constrained_superposition,[],[f1576,f16285]) ).
thf(f22532,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_366 ),
inference(forward_subsumption_resolution,[],[f22370,f27]) ).
thf(f22554,plain,
( $false
| ~ spl0_366 ),
inference(forward_subsumption_resolution,[],[f22532,f29]) ).
thf(f22555,plain,
~ spl0_366,
inference(avatar_contradiction_clause,[],[f22554]) ).
thf(f22574,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_467 ),
inference(constrained_superposition,[],[f21762,f22258]) ).
thf(f22581,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_467 ),
inference(trivial_inequality_removal,[],[f22574]) ).
thf(f22585,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ~ spl0_72
| ~ spl0_426
| ~ spl0_467 ),
inference(forward_subsumption_resolution,[],[f22581,f22036]) ).
thf(f22586,plain,
( spl0_424
| ~ spl0_72
| ~ spl0_426
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f22585,f22257,f21063,f2076,f21056]) ).
thf(f22642,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_263
| ~ spl0_356 ),
inference(constrained_superposition,[],[f21551,f16123]) ).
thf(f22654,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_263
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f22642]) ).
thf(f22655,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_57
| ~ spl0_263
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f22654,f1908]) ).
thf(f22656,plain,
( spl0_71
| ~ spl0_57
| ~ spl0_263
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f22655,f16122,f13665,f1907,f2052]) ).
thf(f22657,plain,
( spl0_467
| ~ spl0_372
| ~ spl0_64
| ~ spl0_423 ),
inference(avatar_split_clause,[],[f22155,f21043,f1985,f16813,f22257]) ).
thf(f22660,plain,
( spl0_356
| ~ spl0_455
| ~ spl0_64
| ~ spl0_420 ),
inference(avatar_split_clause,[],[f21997,f21033,f1985,f22048,f16122]) ).
thf(f22683,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_306 ),
inference(constrained_superposition,[],[f15987,f6255]) ).
thf(f22685,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_1
| spl0_306 ),
inference(trivial_inequality_removal,[],[f22683]) ).
thf(f22686,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f119,f88]) ).
thf(f22691,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f22686]) ).
thf(f22733,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_427 ),
inference(constrained_superposition,[],[f28,f21077]) ).
thf(f22734,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f22733]) ).
thf(f22758,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f22691,f87]) ).
thf(f22761,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f22758]) ).
thf(f22764,plain,
( spl0_399
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f22761,f118,f19295]) ).
thf(f22819,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_450 ),
inference(avatar_component_clause,[],[f22027]) ).
thf(f22949,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f1577,f14958]) ).
thf(f23086,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_323 ),
inference(forward_subsumption_resolution,[],[f22949,f29]) ).
thf(f23133,plain,
( $false
| ~ spl0_323 ),
inference(forward_subsumption_resolution,[],[f23086,f27]) ).
thf(f23134,plain,
~ spl0_323,
inference(avatar_contradiction_clause,[],[f23133]) ).
thf(f23212,plain,
( ( $true != $true )
| ~ spl0_424
| ~ spl0_467 ),
inference(constrained_superposition,[],[f21057,f22258]) ).
thf(f23226,plain,
( $false
| ~ spl0_424
| ~ spl0_467 ),
inference(trivial_inequality_removal,[],[f23212]) ).
thf(f23227,plain,
( ~ spl0_424
| ~ spl0_467 ),
inference(avatar_contradiction_clause,[],[f23226]) ).
thf(f23228,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_306 ),
inference(forward_subsumption_resolution,[],[f22685,f32]) ).
thf(f23236,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_1
| spl0_134
| spl0_306 ),
inference(forward_subsumption_resolution,[],[f23228,f15717]) ).
thf(f23238,plain,
( spl0_9
| ~ spl0_1
| spl0_134
| spl0_306 ),
inference(avatar_split_clause,[],[f23236,f14445,f6093,f50,f138]) ).
thf(f23243,plain,
( ~ spl0_20
| spl0_26
| ~ spl0_61
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f18443,f3497,f1921,f461,f437]) ).
thf(f23256,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| spl0_69 ),
inference(forward_subsumption_resolution,[],[f17618,f32]) ).
thf(f23266,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| spl0_73
| spl0_258 ),
inference(forward_subsumption_resolution,[],[f21694,f20955]) ).
thf(f23268,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| spl0_73
| spl0_258 ),
inference(forward_subsumption_resolution,[],[f21023,f15565]) ).
thf(f23269,plain,
( spl0_57
| spl0_9
| ~ spl0_1
| spl0_69 ),
inference(avatar_split_clause,[],[f23256,f2034,f50,f138,f1907]) ).
thf(f23274,plain,
( spl0_57
| spl0_134
| ~ spl0_1
| spl0_73
| spl0_258 ),
inference(avatar_split_clause,[],[f23266,f13644,f2081,f50,f6093,f1907]) ).
thf(f23275,plain,
( ~ spl0_118
| spl0_134
| ~ spl0_1
| spl0_73
| spl0_258 ),
inference(avatar_split_clause,[],[f23268,f13644,f2081,f50,f6093,f3921]) ).
thf(f23286,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f28,f714]) ).
thf(f23287,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f23286]) ).
thf(f23322,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f28,f2180]) ).
thf(f23324,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f23322]) ).
thf(f23332,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_106 ),
inference(constrained_superposition,[],[f2953,f87]) ).
thf(f23334,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f23332]) ).
thf(f23338,plain,
( spl0_93
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f23334,f2952,f2495]) ).
thf(f23355,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_306 ),
inference(constrained_superposition,[],[f6245,f14446]) ).
thf(f23360,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_1
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f23355]) ).
thf(f23361,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_75
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f23360,f2180]) ).
thf(f23362,plain,
( spl0_126
| spl0_200
| ~ spl0_1
| ~ spl0_75
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f23361,f14445,f2179,f50,f9818,f5709]) ).
thf(f23386,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| spl0_113 ),
inference(constrained_superposition,[],[f3580,f7410]) ).
thf(f23390,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_113 ),
inference(trivial_inequality_removal,[],[f23386]) ).
thf(f23412,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_143
| ~ spl0_263 ),
inference(constrained_superposition,[],[f21551,f7324]) ).
thf(f23417,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_143
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f23412]) ).
thf(f23419,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_20
| ~ spl0_143
| ~ spl0_263 ),
inference(forward_subsumption_resolution,[],[f23417,f438]) ).
thf(f23421,plain,
( spl0_26
| ~ spl0_20
| ~ spl0_143
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f23419,f13665,f7323,f437,f461]) ).
thf(f23477,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_25
| ~ spl0_102 ),
inference(constrained_superposition,[],[f23287,f2909]) ).
thf(f23487,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_25
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f23477]) ).
thf(f23490,plain,
( ~ spl0_125
| spl0_126
| ~ spl0_25
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f23487,f2908,f458,f5709,f5706]) ).
thf(f23575,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_1
| ~ spl0_240 ),
inference(constrained_superposition,[],[f13393,f6203]) ).
thf(f23582,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f23575]) ).
thf(f23640,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_75
| ~ spl0_102 ),
inference(constrained_superposition,[],[f23324,f2909]) ).
thf(f23655,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_75
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f23640]) ).
thf(f23656,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_20
| ~ spl0_75
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f23655,f438]) ).
thf(f23657,plain,
( spl0_26
| ~ spl0_20
| ~ spl0_75
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f23656,f2908,f2179,f437,f461]) ).
thf(f23660,plain,
( spl0_263
| spl0_254
| spl0_134
| ~ spl0_1
| spl0_73 ),
inference(avatar_split_clause,[],[f21016,f2081,f50,f6093,f13591,f13665]) ).
thf(f23667,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| spl0_113 ),
inference(forward_subsumption_resolution,[],[f23390,f32]) ).
thf(f23671,plain,
( spl0_134
| spl0_263
| spl0_253
| ~ spl0_1
| spl0_73 ),
inference(avatar_split_clause,[],[f21017,f2081,f50,f13587,f13665,f6093]) ).
thf(f23672,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| spl0_35
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f13571,f3565]) ).
thf(f23678,definition,
( spl0_473
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_473])],[avatar_definition]) ).
thf(f23679,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_473 ),
inference(avatar_component_clause,[],[f23678]) ).
thf(f23680,plain,
( spl0_473
| spl0_20
| ~ spl0_1
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f23582,f13392,f50,f437,f23678]) ).
thf(f23690,plain,
( spl0_20
| spl0_134
| ~ spl0_1
| spl0_113 ),
inference(avatar_split_clause,[],[f23667,f3579,f50,f6093,f437]) ).
thf(f23691,plain,
( spl0_57
| spl0_20
| ~ spl0_1
| spl0_35
| spl0_72 ),
inference(avatar_split_clause,[],[f23672,f2076,f556,f50,f437,f1907]) ).
thf(f23693,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_380 ),
inference(constrained_superposition,[],[f28,f17951]) ).
thf(f23694,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f23693]) ).
thf(f23715,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_1
| ~ spl0_19 ),
inference(constrained_superposition,[],[f6245,f434]) ).
thf(f23717,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f23715]) ).
thf(f23720,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f23717,f139]) ).
thf(f23721,plain,
( spl0_12
| spl0_28
| ~ spl0_1
| ~ spl0_9
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f23720,f433,f138,f50,f488,f230]) ).
thf(f23752,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_125 ),
inference(constrained_superposition,[],[f28,f21359]) ).
thf(f23753,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_125 ),
inference(trivial_inequality_removal,[],[f23752]) ).
thf(f23754,plain,
( $false
| ~ spl0_91
| spl0_263 ),
inference(forward_subsumption_resolution,[],[f15715,f2453]) ).
thf(f23755,plain,
( ~ spl0_91
| spl0_263 ),
inference(avatar_contradiction_clause,[],[f23754]) ).
thf(f23757,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f28,f6094]) ).
thf(f23759,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f23757]) ).
thf(f23794,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_200
| spl0_348 ),
inference(constrained_superposition,[],[f17254,f9819]) ).
thf(f23796,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_200
| spl0_348 ),
inference(trivial_inequality_removal,[],[f23794]) ).
thf(f23798,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_200
| spl0_263
| spl0_348 ),
inference(forward_subsumption_resolution,[],[f23796,f15715]) ).
thf(f23799,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_200
| spl0_263
| spl0_348 ),
inference(forward_subsumption_resolution,[],[f23798,f32]) ).
thf(f23800,plain,
( spl0_323
| ~ spl0_200
| spl0_263
| spl0_348 ),
inference(avatar_split_clause,[],[f23799,f16091,f13665,f9818,f14957]) ).
thf(f23802,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f28,f7324]) ).
thf(f23804,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f23802]) ).
thf(f23817,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_19
| ~ spl0_380 ),
inference(constrained_superposition,[],[f23694,f434]) ).
thf(f23823,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f23817]) ).
thf(f23834,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f28,f13588]) ).
thf(f23835,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f23834]) ).
thf(f23965,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_420 ),
inference(constrained_superposition,[],[f122,f21034]) ).
thf(f23979,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f23965]) ).
thf(f23981,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_6
| spl0_348
| ~ spl0_420 ),
inference(forward_subsumption_resolution,[],[f23979,f17254]) ).
thf(f23983,plain,
( ~ spl0_456
| ~ spl0_6
| spl0_348
| ~ spl0_420 ),
inference(avatar_split_clause,[],[f23981,f21033,f16091,f121,f22051]) ).
thf(f24040,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_427
| ~ spl0_467 ),
inference(constrained_superposition,[],[f22734,f22258]) ).
thf(f24045,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_427
| ~ spl0_467 ),
inference(trivial_inequality_removal,[],[f24040]) ).
thf(f24049,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_57
| ~ spl0_427
| ~ spl0_467 ),
inference(forward_subsumption_resolution,[],[f24045,f1908]) ).
thf(f24050,plain,
( spl0_71
| ~ spl0_57
| ~ spl0_427
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f24049,f22257,f21076,f1907,f2052]) ).
thf(f24122,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_134
| ~ spl0_396 ),
inference(constrained_superposition,[],[f19085,f6094]) ).
thf(f24124,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_134
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f24122]) ).
thf(f24181,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f13673,f1577]) ).
thf(f24190,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f24181]) ).
thf(f24262,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_1
| ~ spl0_253 ),
inference(constrained_superposition,[],[f23835,f7410]) ).
thf(f24264,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_1
| ~ spl0_253 ),
inference(constrained_superposition,[],[f23835,f6255]) ).
thf(f24266,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_1
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f24262]) ).
thf(f24268,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_1
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f24264]) ).
thf(f24271,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_1
| ~ spl0_134
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f24266,f23759]) ).
thf(f24272,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_1
| ~ spl0_134
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f24268,f23759]) ).
thf(f24274,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) ) )
| ~ spl0_1
| ~ spl0_134
| ~ spl0_253
| spl0_263 ),
inference(forward_subsumption_resolution,[],[f24271,f15715]) ).
thf(f24275,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_1
| ~ spl0_134
| ~ spl0_253
| spl0_263 ),
inference(forward_subsumption_resolution,[],[f24272,f15715]) ).
thf(f24319,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f511,f1577]) ).
thf(f24329,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f24319]) ).
thf(f24626,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_44 ),
inference(constrained_superposition,[],[f713,f395]) ).
thf(f24641,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_44 ),
inference(duplicate_literal_removal,[],[f24626]) ).
thf(f24642,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f24641]) ).
thf(f24647,plain,
( spl0_41
| spl0_42
| ~ spl0_34
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f24642,f712,f537,f701,f698]) ).
thf(f24706,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f724,f395]) ).
thf(f24718,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_45 ),
inference(duplicate_literal_removal,[],[f24706]) ).
thf(f24719,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f24718]) ).
thf(f24726,plain,
( spl0_46
| ~ spl0_31
| spl0_41
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f24719,f723,f698,f527,f769]) ).
thf(f25100,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_278 ),
inference(constrained_superposition,[],[f28,f14060]) ).
thf(f25112,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f25100]) ).
thf(f25643,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_32
| spl0_429 ),
inference(constrained_superposition,[],[f21109,f531]) ).
thf(f25669,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_32
| spl0_429 ),
inference(trivial_inequality_removal,[],[f25643]) ).
thf(f25684,plain,
( $false
| ~ spl0_32
| spl0_429
| spl0_450 ),
inference(forward_subsumption_resolution,[],[f25669,f22819]) ).
thf(f25685,plain,
( ~ spl0_32
| spl0_429
| spl0_450 ),
inference(avatar_contradiction_clause,[],[f25684]) ).
thf(f25705,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_18
| spl0_429 ),
inference(constrained_superposition,[],[f21109,f17561]) ).
thf(f25710,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| spl0_102 ),
inference(constrained_superposition,[],[f14150,f17561]) ).
thf(f25711,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_134
| ~ spl0_253
| spl0_263 ),
inference(constrained_superposition,[],[f24274,f17561]) ).
thf(f25725,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_134
| ~ spl0_253
| spl0_263 ),
inference(trivial_inequality_removal,[],[f25711]) ).
thf(f25728,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| spl0_429 ),
inference(trivial_inequality_removal,[],[f25705]) ).
thf(f25733,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_18
| spl0_102 ),
inference(trivial_inequality_removal,[],[f25710]) ).
thf(f25745,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_134
| ~ spl0_253
| spl0_263 ),
inference(forward_subsumption_resolution,[],[f25725,f32]) ).
thf(f25746,plain,
( spl0_431
| ~ spl0_18
| spl0_429 ),
inference(avatar_split_clause,[],[f25728,f21108,f430,f21244]) ).
thf(f25749,plain,
( $false
| ~ spl0_18
| spl0_102
| spl0_313 ),
inference(forward_subsumption_resolution,[],[f25733,f17233]) ).
thf(f25750,plain,
( ~ spl0_18
| spl0_102
| spl0_313 ),
inference(avatar_contradiction_clause,[],[f25749]) ).
thf(f25753,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_134
| ~ spl0_253
| spl0_263
| spl0_313 ),
inference(forward_subsumption_resolution,[],[f25745,f17233]) ).
thf(f25757,plain,
( spl0_26
| ~ spl0_1
| ~ spl0_18
| ~ spl0_134
| ~ spl0_253
| spl0_263
| spl0_313 ),
inference(avatar_split_clause,[],[f25753,f14506,f13665,f13587,f6093,f430,f50,f461]) ).
thf(f26050,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_113
| ~ spl0_273 ),
inference(constrained_superposition,[],[f3580,f13784]) ).
thf(f26094,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_113
| ~ spl0_273 ),
inference(trivial_inequality_removal,[],[f26050]) ).
thf(f26106,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_20
| spl0_113
| ~ spl0_273 ),
inference(forward_subsumption_resolution,[],[f26094,f565]) ).
thf(f26107,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_20
| spl0_113
| ~ spl0_273 ),
inference(forward_subsumption_resolution,[],[f26106,f32]) ).
thf(f26108,plain,
( spl0_271
| spl0_20
| spl0_113
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f26107,f13783,f3579,f437,f13739]) ).
thf(f26124,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_41
| spl0_102 ),
inference(constrained_superposition,[],[f14150,f699]) ).
thf(f26160,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_41
| spl0_102 ),
inference(trivial_inequality_removal,[],[f26124]) ).
thf(f26167,plain,
( $false
| ~ spl0_41
| spl0_102
| spl0_113 ),
inference(forward_subsumption_resolution,[],[f26160,f3580]) ).
thf(f26168,plain,
( ~ spl0_41
| spl0_102
| spl0_113 ),
inference(avatar_contradiction_clause,[],[f26167]) ).
thf(f27948,definition,
( spl0_504
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_504])],[avatar_definition]) ).
thf(f27949,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_504 ),
inference(avatar_component_clause,[],[f27948]) ).
thf(f27956,definition,
( spl0_506
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_506])],[avatar_definition]) ).
thf(f27957,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_506 ),
inference(avatar_component_clause,[],[f27956]) ).
thf(f27960,definition,
( spl0_507
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_507])],[avatar_definition]) ).
thf(f27961,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_507 ),
inference(avatar_component_clause,[],[f27960]) ).
thf(f27965,definition,
( spl0_508
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_508])],[avatar_definition]) ).
thf(f27966,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_508 ),
inference(avatar_component_clause,[],[f27965]) ).
thf(f28003,definition,
( spl0_513
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_513])],[avatar_definition]) ).
thf(f28004,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_513 ),
inference(avatar_component_clause,[],[f28003]) ).
thf(f28052,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56
| ~ spl0_143 ),
inference(constrained_superposition,[],[f23804,f1926]) ).
thf(f28059,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_56
| ~ spl0_278 ),
inference(constrained_superposition,[],[f25112,f1926]) ).
thf(f28069,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f28052]) ).
thf(f28081,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_56
| ~ spl0_278 ),
inference(duplicate_literal_removal,[],[f28059]) ).
thf(f28082,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_56
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f28081]) ).
thf(f28090,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56
| ~ spl0_143
| spl0_263 ),
inference(forward_subsumption_resolution,[],[f28069,f15715]) ).
thf(f28096,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_56
| ~ spl0_61
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f28082,f1922]) ).
thf(f28097,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_56
| ~ spl0_61
| ~ spl0_143
| spl0_263 ),
inference(forward_subsumption_resolution,[],[f28090,f1922]) ).
thf(f28102,plain,
( spl0_75
| spl0_71
| ~ spl0_56
| ~ spl0_61
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f28096,f14059,f1921,f1904,f2052,f2179]) ).
thf(f28103,plain,
( spl0_71
| ~ spl0_56
| ~ spl0_61
| ~ spl0_143
| spl0_263 ),
inference(avatar_split_clause,[],[f28097,f13665,f7323,f1921,f1904,f2052]) ).
thf(f28112,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_94
| spl0_356 ),
inference(constrained_superposition,[],[f17795,f2612]) ).
thf(f28133,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_94
| spl0_356 ),
inference(trivial_inequality_removal,[],[f28112]) ).
thf(f28153,plain,
( $false
| ~ spl0_94
| spl0_356
| spl0_364 ),
inference(forward_subsumption_resolution,[],[f28133,f16186]) ).
thf(f28154,plain,
( ~ spl0_94
| spl0_356
| spl0_364 ),
inference(avatar_contradiction_clause,[],[f28153]) ).
thf(f28178,plain,
( ~ spl0_88
| spl0_16
| ~ spl0_134
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f24124,f19084,f6093,f280,f2338]) ).
thf(f28179,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_68 ),
inference(constrained_superposition,[],[f2015,f36]) ).
thf(f28181,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_68 ),
inference(trivial_inequality_removal,[],[f28179]) ).
thf(f28183,plain,
( spl0_88
| spl0_68 ),
inference(avatar_split_clause,[],[f28181,f2014,f2338]) ).
thf(f28188,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_88 ),
inference(constrained_superposition,[],[f28,f2339]) ).
thf(f28191,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f28188]) ).
thf(f28193,plain,
( spl0_506
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f28191,f2338,f27956]) ).
thf(f28213,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ X1 @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( z = X1 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) ) )
| ~ spl0_1
| ~ spl0_410 ),
inference(constrained_superposition,[],[f6245,f19694]) ).
thf(f28224,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X1 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) ) )
| ~ spl0_1
| ~ spl0_410 ),
inference(trivial_inequality_removal,[],[f28213]) ).
thf(f28239,definition,
( spl0_519
<=> ! [X2: $i,X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_519])],[avatar_definition]) ).
thf(f28240,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) ) )
| ~ spl0_519 ),
inference(avatar_component_clause,[],[f28239]) ).
thf(f28241,plain,
( spl0_108
| spl0_519
| ~ spl0_1
| ~ spl0_410 ),
inference(avatar_split_clause,[],[f28224,f19693,f50,f28239,f3117]) ).
thf(f28580,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_240
| ~ spl0_327 ),
inference(constrained_superposition,[],[f13393,f15266]) ).
thf(f28587,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_278
| ~ spl0_327 ),
inference(constrained_superposition,[],[f25112,f15266]) ).
thf(f28603,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_240
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f28580]) ).
thf(f28628,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_278
| ~ spl0_327 ),
inference(duplicate_literal_removal,[],[f28587]) ).
thf(f28629,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_278
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f28628]) ).
thf(f28645,definition,
( spl0_533
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_533])],[avatar_definition]) ).
thf(f28646,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_533 ),
inference(avatar_component_clause,[],[f28645]) ).
thf(f28667,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| spl0_348
| ~ spl0_533 ),
inference(constrained_superposition,[],[f17254,f28646]) ).
thf(f28668,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| spl0_356
| ~ spl0_533 ),
inference(constrained_superposition,[],[f17795,f28646]) ).
thf(f29099,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_1
| ~ spl0_134
| ~ spl0_253
| spl0_263
| ~ spl0_533 ),
inference(constrained_superposition,[],[f24275,f28646]) ).
thf(f29171,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_1
| ~ spl0_134
| ~ spl0_253
| spl0_263
| ~ spl0_533 ),
inference(forward_subsumption_resolution,[],[f29099,f13588]) ).
thf(f29183,definition,
( spl0_538
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_538])],[avatar_definition]) ).
thf(f29184,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_538 ),
inference(avatar_component_clause,[],[f29183]) ).
thf(f29185,plain,
( spl0_270
| spl0_538
| ~ spl0_1
| ~ spl0_134
| ~ spl0_253
| spl0_263
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f29171,f28645,f13665,f13587,f6093,f50,f29183,f13724]) ).
thf(f29859,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_58
| ~ spl0_538 ),
inference(constrained_superposition,[],[f1912,f29184]) ).
thf(f30458,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_58
| spl0_356
| ~ spl0_533
| ~ spl0_538 ),
inference(forward_subsumption_resolution,[],[f29859,f28668]) ).
thf(f30674,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_58
| spl0_356
| ~ spl0_533
| ~ spl0_538 ),
inference(constrained_superposition,[],[f30458,f87]) ).
thf(f30677,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_58
| spl0_356
| ~ spl0_533
| ~ spl0_538 ),
inference(trivial_inequality_removal,[],[f30674]) ).
thf(f30682,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_58
| spl0_348
| spl0_356
| ~ spl0_533
| ~ spl0_538 ),
inference(forward_subsumption_resolution,[],[f30677,f28667]) ).
thf(f30685,plain,
( spl0_91
| ~ spl0_58
| spl0_348
| spl0_356
| ~ spl0_533
| ~ spl0_538 ),
inference(avatar_split_clause,[],[f30682,f29183,f28645,f16122,f16091,f1911,f2452]) ).
thf(f30687,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_265
| spl0_339 ),
inference(forward_subsumption_resolution,[],[f24190,f15722]) ).
thf(f30696,plain,
( spl0_150
| ~ spl0_135
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f24329,f510,f6105,f7876]) ).
thf(f30697,plain,
( ~ spl0_136
| ~ spl0_135
| ~ spl0_265
| spl0_339 ),
inference(avatar_split_clause,[],[f30687,f15721,f13672,f6105,f6109]) ).
thf(f30729,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_110
| ~ spl0_258 ),
inference(constrained_superposition,[],[f3498,f13645]) ).
thf(f30738,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_125
| ~ spl0_258 ),
inference(constrained_superposition,[],[f23753,f13645]) ).
thf(f30743,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_125
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f30738]) ).
thf(f30751,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_110
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f30729]) ).
thf(f30758,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_88
| ~ spl0_125
| ~ spl0_258 ),
inference(forward_subsumption_resolution,[],[f30743,f2339]) ).
thf(f30763,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_110
| ~ spl0_134
| ~ spl0_258 ),
inference(forward_subsumption_resolution,[],[f30751,f6094]) ).
thf(f30769,plain,
( spl0_71
| ~ spl0_88
| ~ spl0_125
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f30758,f13644,f5706,f2338,f2052]) ).
thf(f30773,plain,
( spl0_126
| ~ spl0_110
| ~ spl0_134
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f30763,f13644,f6093,f3497,f5709]) ).
thf(f30787,plain,
( ~ spl0_25
| spl0_26
| ~ spl0_19
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f23823,f17950,f433,f461,f458]) ).
thf(f30807,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) )
| spl0_20
| ~ spl0_240
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f28603,f565]) ).
thf(f30814,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| spl0_20
| ~ spl0_240
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f30807,f32]) ).
thf(f30815,plain,
( spl0_270
| spl0_269
| ~ spl0_348
| spl0_20
| ~ spl0_240
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f30814,f15265,f13392,f437,f16091,f13721,f13724]) ).
thf(f30863,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_72
| ~ spl0_240 ),
inference(constrained_superposition,[],[f13393,f2077]) ).
thf(f30865,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_72
| ~ spl0_506 ),
inference(constrained_superposition,[],[f27957,f2077]) ).
thf(f30867,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f28,f2077]) ).
thf(f30868,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_72
| ~ spl0_506 ),
inference(trivial_inequality_removal,[],[f30865]) ).
thf(f30869,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f30867]) ).
thf(f30871,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f30863]) ).
thf(f30873,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_25
| ~ spl0_72
| ~ spl0_506 ),
inference(forward_subsumption_resolution,[],[f30868,f714]) ).
thf(f30874,plain,
( spl0_507
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f30869,f2076,f27960]) ).
thf(f30875,plain,
( spl0_26
| ~ spl0_25
| ~ spl0_72
| ~ spl0_506 ),
inference(avatar_split_clause,[],[f30873,f27956,f2076,f458,f461]) ).
thf(f30883,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_270
| ~ spl0_278 ),
inference(constrained_superposition,[],[f13725,f14060]) ).
thf(f30894,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 ) )
| ( $true != $true )
| ~ spl0_28
| ~ spl0_270 ),
inference(constrained_superposition,[],[f13725,f489]) ).
thf(f30895,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_270
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f30883]) ).
thf(f30909,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f30894]) ).
thf(f30913,plain,
( $false
| spl0_263
| ~ spl0_270
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f30895,f15715]) ).
thf(f30914,plain,
( spl0_263
| ~ spl0_270
| ~ spl0_278 ),
inference(avatar_contradiction_clause,[],[f30913]) ).
thf(f30919,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_270 ),
inference(forward_subsumption_resolution,[],[f30909,f32]) ).
thf(f30927,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_28
| spl0_263
| ~ spl0_270 ),
inference(forward_subsumption_resolution,[],[f30919,f15715]) ).
thf(f30929,plain,
( spl0_269
| ~ spl0_28
| spl0_263
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f30927,f13724,f13665,f488,f13721]) ).
thf(f30938,plain,
( ~ spl0_59
| spl0_71
| ~ spl0_72
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f30871,f13392,f2076,f2052,f1914]) ).
thf(f31077,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_59
| ~ spl0_110 ),
inference(constrained_superposition,[],[f3498,f1915]) ).
thf(f31092,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_59
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f31077]) ).
thf(f31095,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_9
| ~ spl0_59
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f31092,f139]) ).
thf(f31097,plain,
( spl0_12
| ~ spl0_9
| ~ spl0_59
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f31095,f3497,f1914,f138,f230]) ).
thf(f31127,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_278
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f28629,f32]) ).
thf(f31129,plain,
( spl0_533
| ~ spl0_143
| spl0_270
| ~ spl0_278
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f31127,f15265,f14059,f13724,f7323,f28645]) ).
thf(f31132,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_364 ),
inference(constrained_superposition,[],[f28,f16184]) ).
thf(f31133,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f31132]) ).
thf(f31135,plain,
( spl0_513
| ~ spl0_364 ),
inference(avatar_split_clause,[],[f31133,f16183,f28003]) ).
thf(f31138,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f28,f2909]) ).
thf(f31140,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f31138]) ).
thf(f31142,plain,
( spl0_508
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f31140,f2908,f27965]) ).
thf(f31184,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_431
| ~ spl0_473 ),
inference(constrained_superposition,[],[f23679,f21245]) ).
thf(f31188,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_431 ),
inference(constrained_superposition,[],[f28,f21245]) ).
thf(f31190,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_431
| ~ spl0_473 ),
inference(trivial_inequality_removal,[],[f31184]) ).
thf(f31192,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f31188]) ).
thf(f31198,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_427
| ~ spl0_431
| ~ spl0_473 ),
inference(forward_subsumption_resolution,[],[f31190,f21420]) ).
thf(f31205,plain,
( spl0_424
| spl0_428
| spl0_427
| ~ spl0_431
| ~ spl0_473 ),
inference(avatar_split_clause,[],[f31198,f23678,f21244,f21076,f21081,f21056]) ).
thf(f31263,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f36]) ).
thf(f31264,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f31]) ).
thf(f31265,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f31264]) ).
thf(f31266,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f31263]) ).
thf(f31296,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_269 ),
inference(constrained_superposition,[],[f395,f13722]) ).
thf(f31433,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f31296,f27]) ).
thf(f31458,plain,
( $false
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f31433,f29]) ).
thf(f31459,plain,
~ spl0_269,
inference(avatar_contradiction_clause,[],[f31458]) ).
thf(f31497,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_313
| ~ spl0_473 ),
inference(constrained_superposition,[],[f23679,f14507]) ).
thf(f31499,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_313 ),
inference(constrained_superposition,[],[f28,f14507]) ).
thf(f31500,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f31499]) ).
thf(f31502,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_313
| ~ spl0_473 ),
inference(trivial_inequality_removal,[],[f31497]) ).
thf(f31504,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| spl0_134
| ~ spl0_313
| ~ spl0_473 ),
inference(forward_subsumption_resolution,[],[f31502,f15717]) ).
thf(f31506,plain,
( spl0_271
| spl0_126
| spl0_134
| ~ spl0_313
| ~ spl0_473 ),
inference(avatar_split_clause,[],[f31504,f23678,f14506,f6093,f5709,f13739]) ).
thf(f31514,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f31266,f35]) ).
thf(f31517,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f31514]) ).
thf(f31566,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_428 ),
inference(constrained_superposition,[],[f1576,f21082]) ).
thf(f31673,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_428 ),
inference(forward_subsumption_resolution,[],[f31566,f29]) ).
thf(f31696,plain,
( $false
| ~ spl0_428 ),
inference(forward_subsumption_resolution,[],[f31673,f27]) ).
thf(f31697,plain,
~ spl0_428,
inference(avatar_contradiction_clause,[],[f31696]) ).
thf(f31724,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f31265,f31]) ).
thf(f31727,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f31724]) ).
thf(f31728,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f31727]) ).
thf(f31740,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_339 ),
inference(constrained_superposition,[],[f28,f16079]) ).
thf(f31741,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f31740]) ).
thf(f31742,plain,
( spl0_504
| ~ spl0_339 ),
inference(avatar_split_clause,[],[f31741,f15721,f27948]) ).
thf(f31903,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_253
| ~ spl0_313 ),
inference(constrained_superposition,[],[f31500,f13588]) ).
thf(f31908,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_253
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f31903]) ).
thf(f31910,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_339
| ~ spl0_513 ),
inference(constrained_superposition,[],[f28004,f16079]) ).
thf(f31911,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_253
| ~ spl0_513 ),
inference(constrained_superposition,[],[f28004,f13588]) ).
thf(f31916,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_253
| ~ spl0_513 ),
inference(trivial_inequality_removal,[],[f31911]) ).
thf(f31919,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_339
| ~ spl0_513 ),
inference(trivial_inequality_removal,[],[f31910]) ).
thf(f31921,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_88
| ~ spl0_339
| ~ spl0_513 ),
inference(forward_subsumption_resolution,[],[f31919,f2339]) ).
thf(f31922,plain,
( spl0_71
| ~ spl0_88
| ~ spl0_339
| ~ spl0_513 ),
inference(avatar_split_clause,[],[f31921,f28003,f15721,f2338,f2052]) ).
thf(f31934,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_88
| ~ spl0_507 ),
inference(constrained_superposition,[],[f27961,f2339]) ).
thf(f31935,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_88
| ~ spl0_507 ),
inference(trivial_inequality_removal,[],[f31934]) ).
thf(f31939,plain,
( spl0_16
| ~ spl0_20
| ~ spl0_88
| ~ spl0_507 ),
inference(avatar_split_clause,[],[f31935,f27960,f2338,f437,f280]) ).
thf(f31987,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_429
| ~ spl0_431 ),
inference(constrained_superposition,[],[f31192,f22011]) ).
thf(f31990,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_429
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f31987]) ).
thf(f32142,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f511,f88]) ).
thf(f32143,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f511,f36]) ).
thf(f32147,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f32142]) ).
thf(f32152,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f32143]) ).
thf(f32153,plain,
( spl0_32
| ~ spl0_31
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f32147,f510,f527,f530]) ).
thf(f32154,plain,
( ~ spl0_34
| spl0_33
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f32152,f510,f534,f537]) ).
thf(f32264,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f1986,f36]) ).
thf(f32270,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f32264]) ).
thf(f32342,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| spl0_125 ),
inference(constrained_superposition,[],[f5707,f31728]) ).
thf(f32343,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_2
| spl0_25 ),
inference(constrained_superposition,[],[f459,f31728]) ).
thf(f32363,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| spl0_25 ),
inference(trivial_inequality_removal,[],[f32343]) ).
thf(f32367,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_125 ),
inference(trivial_inequality_removal,[],[f32342]) ).
thf(f32374,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f32363,f32]) ).
thf(f32376,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_125 ),
inference(forward_subsumption_resolution,[],[f32367,f32]) ).
thf(f32380,plain,
( $false
| ~ spl0_2
| spl0_20
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f32374,f565]) ).
thf(f32381,plain,
( ~ spl0_2
| spl0_20
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f32380]) ).
thf(f32383,plain,
( $false
| ~ spl0_2
| spl0_125
| spl0_134 ),
inference(forward_subsumption_resolution,[],[f32376,f15717]) ).
thf(f32384,plain,
( ~ spl0_2
| spl0_125
| spl0_134 ),
inference(avatar_contradiction_clause,[],[f32383]) ).
thf(f32389,plain,
( spl0_126
| ~ spl0_125
| ~ spl0_253
| ~ spl0_513 ),
inference(avatar_split_clause,[],[f31916,f28003,f13587,f5706,f5709]) ).
thf(f32393,plain,
( ~ spl0_19
| spl0_26
| ~ spl0_429
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f31990,f21244,f21108,f461,f433]) ).
thf(f32394,plain,
( spl0_270
| ~ spl0_348
| ~ spl0_253
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f31908,f14506,f13587,f16091,f13724]) ).
thf(f32425,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_364 ),
inference(constrained_superposition,[],[f16186,f31728]) ).
thf(f32426,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| spl0_364 ),
inference(trivial_inequality_removal,[],[f32425]) ).
thf(f32427,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| spl0_263
| spl0_364 ),
inference(forward_subsumption_resolution,[],[f32426,f15715]) ).
thf(f32428,plain,
( $false
| ~ spl0_2
| spl0_263
| spl0_364 ),
inference(forward_subsumption_resolution,[],[f32427,f32]) ).
thf(f32429,plain,
( ~ spl0_2
| spl0_263
| spl0_364 ),
inference(avatar_contradiction_clause,[],[f32428]) ).
thf(f32430,plain,
( $false
| ~ spl0_126
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f14507,f5710]) ).
thf(f32431,plain,
( ~ spl0_126
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f32430]) ).
thf(f32432,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_134
| ~ spl0_508 ),
inference(constrained_superposition,[],[f27966,f6094]) ).
thf(f32434,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_134
| ~ spl0_519 ),
inference(constrained_superposition,[],[f28240,f6094]) ).
thf(f32438,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_134
| ~ spl0_519 ),
inference(trivial_inequality_removal,[],[f32434]) ).
thf(f32439,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_134
| ~ spl0_508 ),
inference(trivial_inequality_removal,[],[f32432]) ).
thf(f32442,plain,
( spl0_126
| spl0_125
| ~ spl0_134
| ~ spl0_519 ),
inference(avatar_split_clause,[],[f32438,f28239,f6093,f5706,f5709]) ).
thf(f32443,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| ~ spl0_25
| ~ spl0_134
| ~ spl0_508 ),
inference(forward_subsumption_resolution,[],[f32439,f714]) ).
thf(f32444,plain,
( spl0_16
| ~ spl0_25
| ~ spl0_134
| ~ spl0_508 ),
inference(avatar_split_clause,[],[f32443,f27965,f6093,f458,f280]) ).
thf(f32447,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_364
| ~ spl0_504 ),
inference(constrained_superposition,[],[f27949,f16184]) ).
thf(f32450,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_364
| ~ spl0_504 ),
inference(trivial_inequality_removal,[],[f32447]) ).
thf(f32461,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_264 ),
inference(constrained_superposition,[],[f13670,f31]) ).
thf(f32462,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_264 ),
inference(trivial_inequality_removal,[],[f32461]) ).
thf(f32465,plain,
( spl0_323
| spl0_324
| spl0_264 ),
inference(avatar_split_clause,[],[f32462,f13669,f14976,f14957]) ).
thf(f32467,plain,
( $false
| ~ spl0_270
| ~ spl0_348 ),
inference(forward_subsumption_resolution,[],[f16092,f13725]) ).
thf(f32468,plain,
( ~ spl0_270
| ~ spl0_348 ),
inference(avatar_contradiction_clause,[],[f32467]) ).
thf(f32469,plain,
( ~ spl0_68
| spl0_94
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f32270,f1985,f2611,f2014]) ).
thf(f32470,plain,
( spl0_16
| ~ spl0_57
| ~ spl0_364
| ~ spl0_504 ),
inference(avatar_split_clause,[],[f32450,f27948,f16183,f1907,f280]) ).
thf(f32496,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f28,f438]) ).
thf(f32497,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f32496]) ).
thf(f32543,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f702,f395]) ).
thf(f32544,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f702,f88]) ).
thf(f32546,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f32543]) ).
thf(f32549,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f32544]) ).
thf(f32552,plain,
( spl0_21
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f32546,f701,f440]) ).
thf(f32575,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f514,f396]) ).
thf(f32586,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f32575]) ).
thf(f32620,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_455 ),
inference(constrained_superposition,[],[f22049,f85]) ).
thf(f32621,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_455 ),
inference(constrained_superposition,[],[f22049,f37]) ).
thf(f32623,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_455 ),
inference(trivial_inequality_removal,[],[f32621]) ).
thf(f32627,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_455 ),
inference(trivial_inequality_removal,[],[f32620]) ).
thf(f32628,plain,
( spl0_467
| spl0_269
| spl0_455 ),
inference(avatar_split_clause,[],[f32623,f22048,f13721,f22257]) ).
thf(f32631,plain,
( spl0_467
| spl0_274
| spl0_455 ),
inference(avatar_split_clause,[],[f32627,f22048,f13951,f22257]) ).
thf(f32643,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_252 ),
inference(constrained_superposition,[],[f98,f13585]) ).
thf(f32646,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_64
| ~ spl0_252 ),
inference(constrained_superposition,[],[f1986,f13585]) ).
thf(f32649,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_64
| ~ spl0_252 ),
inference(trivial_inequality_removal,[],[f32646]) ).
thf(f32660,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_252 ),
inference(trivial_inequality_removal,[],[f32643]) ).
thf(f32678,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_2
| spl0_9 ),
inference(constrained_superposition,[],[f3503,f31517]) ).
thf(f32686,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_2
| spl0_9 ),
inference(trivial_inequality_removal,[],[f32678]) ).
thf(f32714,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_240 ),
inference(constrained_superposition,[],[f13393,f31517]) ).
thf(f32716,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f32714]) ).
thf(f32718,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_2
| ~ spl0_240
| ~ spl0_380 ),
inference(forward_subsumption_resolution,[],[f32716,f17951]) ).
thf(f32720,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| ~ spl0_2
| spl0_25
| ~ spl0_240
| ~ spl0_380 ),
inference(forward_subsumption_resolution,[],[f32718,f459]) ).
thf(f32721,plain,
( spl0_16
| ~ spl0_2
| spl0_25
| ~ spl0_240
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f32720,f17950,f13392,f458,f53,f280]) ).
thf(f32724,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_216
| ~ spl0_340 ),
inference(constrained_superposition,[],[f12504,f15727]) ).
thf(f32725,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_216
| ~ spl0_467 ),
inference(constrained_superposition,[],[f12504,f22258]) ).
thf(f32726,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_216
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f32724]) ).
thf(f32729,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_216
| ~ spl0_467 ),
inference(trivial_inequality_removal,[],[f32725]) ).
thf(f32730,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_216
| ~ spl0_306
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f32726,f14446]) ).
thf(f32732,plain,
( spl0_126
| ~ spl0_216
| ~ spl0_306
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f32730,f15726,f14445,f12503,f5709]) ).
thf(f32735,plain,
( ~ spl0_371
| spl0_356
| ~ spl0_64
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f32649,f13584,f1985,f16122,f16786]) ).
thf(f32740,plain,
( spl0_313
| spl0_367
| spl0_346
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f32660,f13584,f16085,f16338,f14506]) ).
thf(f32742,plain,
( spl0_424
| ~ spl0_450
| ~ spl0_216
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f32729,f22257,f12503,f22027,f21056]) ).
thf(f32757,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_20
| ~ spl0_113 ),
inference(constrained_superposition,[],[f32497,f13658]) ).
thf(f32759,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_20
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f32757]) ).
thf(f32761,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_20
| ~ spl0_113
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f32759,f6094]) ).
thf(f32762,plain,
( spl0_126
| ~ spl0_20
| ~ spl0_113
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f32761,f6093,f3579,f437,f5709]) ).
thf(f32763,plain,
( spl0_380
| ~ spl0_2
| spl0_9 ),
inference(avatar_split_clause,[],[f32686,f138,f53,f17950]) ).
thf(f32768,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f28,f714]) ).
thf(f32769,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f32768]) ).
thf(f32877,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_24
| ~ spl0_25 ),
inference(constrained_superposition,[],[f32769,f451]) ).
thf(f32880,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_24
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f32877]) ).
thf(f32881,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_24
| ~ spl0_25
| ~ spl0_380 ),
inference(forward_subsumption_resolution,[],[f32880,f17951]) ).
thf(f32882,plain,
( spl0_12
| ~ spl0_24
| ~ spl0_25
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f32881,f17950,f458,f450,f230]) ).
thf(f32883,plain,
( ( $true != $true )
| ~ spl0_16
| ~ spl0_380 ),
inference(constrained_superposition,[],[f281,f17951]) ).
thf(f32884,plain,
( $false
| ~ spl0_16
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f32883]) ).
thf(f32885,plain,
( ~ spl0_16
| ~ spl0_380 ),
inference(avatar_contradiction_clause,[],[f32884]) ).
thf(f32898,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_348 ),
inference(constrained_superposition,[],[f28,f16092]) ).
thf(f32899,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f32898]) ).
thf(f32942,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_20
| ~ spl0_240 ),
inference(constrained_superposition,[],[f13393,f438]) ).
thf(f32945,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_20
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f32942]) ).
thf(f32993,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_45
| ~ spl0_420 ),
inference(constrained_superposition,[],[f724,f21034]) ).
thf(f33006,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f32993]) ).
thf(f33021,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_45
| ~ spl0_420
| spl0_426 ),
inference(forward_subsumption_resolution,[],[f33006,f21064]) ).
thf(f33027,plain,
( spl0_265
| ~ spl0_264
| ~ spl0_45
| ~ spl0_420
| spl0_426 ),
inference(avatar_split_clause,[],[f33021,f21063,f21033,f723,f13669,f13672]) ).
thf(f33066,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f122,f395]) ).
thf(f33070,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f122,f396]) ).
thf(f33072,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f122,f36]) ).
thf(f33073,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f33072]) ).
thf(f33075,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f33070]) ).
thf(f33079,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f33066]) ).
thf(f33105,plain,
( spl0_16
| ~ spl0_380
| ~ spl0_20
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f32945,f13392,f437,f17950,f280]) ).
thf(f33186,plain,
( spl0_388
| ~ spl0_8
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f33073,f121,f135,f18483]) ).
thf(f33221,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_254
| ~ spl0_348 ),
inference(constrained_superposition,[],[f32899,f13592]) ).
thf(f33227,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_254
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f33221]) ).
thf(f33232,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_254
| ~ spl0_313
| ~ spl0_348 ),
inference(forward_subsumption_resolution,[],[f33227,f14507]) ).
thf(f33234,plain,
( spl0_126
| ~ spl0_254
| ~ spl0_313
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f33232,f16091,f14506,f13591,f5709]) ).
thf(f33365,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_101 ),
inference(constrained_superposition,[],[f2906,f31]) ).
thf(f33366,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_101 ),
inference(trivial_inequality_removal,[],[f33365]) ).
thf(f33369,plain,
( spl0_313
| spl0_274
| spl0_101 ),
inference(avatar_split_clause,[],[f33366,f2905,f13951,f14506]) ).
thf(f33454,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_200
| spl0_313 ),
inference(constrained_superposition,[],[f17233,f9819]) ).
thf(f33455,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_200
| spl0_313 ),
inference(trivial_inequality_removal,[],[f33454]) ).
thf(f33492,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f32586,f395]) ).
thf(f33496,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f33492]) ).
thf(f33500,plain,
( spl0_41
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f33496,f513,f698]) ).
thf(f33503,plain,
( ~ spl0_14
| spl0_24
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f32549,f701,f450,f247]) ).
thf(f33504,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_200
| spl0_313 ),
inference(forward_subsumption_resolution,[],[f33455,f32]) ).
thf(f33506,plain,
( spl0_274
| spl0_134
| ~ spl0_200
| spl0_313 ),
inference(avatar_split_clause,[],[f33504,f14506,f9818,f6093,f13951]) ).
thf(f33507,plain,
( spl0_18
| spl0_19
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f33079,f121,f433,f430]) ).
thf(f33508,plain,
( spl0_38
| ~ spl0_39
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f33075,f121,f660,f657]) ).
thf(f33525,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_66 ),
inference(constrained_superposition,[],[f2007,f31]) ).
thf(f33527,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_66 ),
inference(trivial_inequality_removal,[],[f33525]) ).
thf(f33529,plain,
( spl0_69
| spl0_70
| spl0_66 ),
inference(avatar_split_clause,[],[f33527,f2006,f2037,f2034]) ).
thf(f33537,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_69
| ~ spl0_506 ),
inference(constrained_superposition,[],[f27957,f2035]) ).
thf(f33539,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_69
| ~ spl0_506 ),
inference(trivial_inequality_removal,[],[f33537]) ).
thf(f33541,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_69
| ~ spl0_380
| ~ spl0_506 ),
inference(forward_subsumption_resolution,[],[f33539,f17951]) ).
thf(f33542,plain,
( spl0_12
| ~ spl0_69
| ~ spl0_380
| ~ spl0_506 ),
inference(avatar_split_clause,[],[f33541,f27956,f17950,f2034,f230]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f123]) ).
cnf(s5,plain,
( ~ spl0_5
| ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f140]) ).
cnf(s10,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f284]) ).
cnf(s14,plain,
( ~ spl0_9
| ~ spl0_12 ),
inference(sat_conversion,[],[f338]) ).
cnf(s18,plain,
( spl0_8
| ~ spl0_19
| ~ spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f463]) ).
cnf(s21,plain,
( spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f515]) ).
cnf(s25,plain,
( spl0_25
| spl0_34 ),
inference(sat_conversion,[],[f548]) ).
cnf(s27,plain,
( spl0_24
| spl0_31 ),
inference(sat_conversion,[],[f560]) ).
cnf(s29,plain,
( ~ spl0_9
| ~ spl0_20
| ~ spl0_24
| spl0_26 ),
inference(sat_conversion,[],[f566]) ).
cnf(s39,plain,
( spl0_19
| spl0_39 ),
inference(sat_conversion,[],[f710]) ).
cnf(s40,plain,
( spl0_25
| spl0_44 ),
inference(sat_conversion,[],[f715]) ).
cnf(s42,plain,
( ~ spl0_9
| spl0_16
| ~ spl0_24
| ~ spl0_25 ),
inference(sat_conversion,[],[f721]) ).
cnf(s43,plain,
( spl0_24
| spl0_45 ),
inference(sat_conversion,[],[f725]) ).
cnf(s46,plain,
( spl0_19
| ~ spl0_30
| ~ spl0_31 ),
inference(sat_conversion,[],[f1014]) ).
cnf(s49,plain,
( spl0_20
| ~ spl0_30
| ~ spl0_34 ),
inference(sat_conversion,[],[f1021]) ).
cnf(s50,plain,
( ~ spl0_20
| ~ spl0_26 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s60,plain,
( ~ spl0_1
| spl0_56
| spl0_57 ),
inference(sat_conversion,[],[f1909]) ).
cnf(s61,plain,
( ~ spl0_6
| spl0_58
| spl0_59 ),
inference(sat_conversion,[],[f1916]) ).
cnf(s64,plain,
( spl0_64
| spl0_65 ),
inference(sat_conversion,[],[f1990]) ).
cnf(s65,plain,
( spl0_59
| ~ spl0_65
| ~ spl0_66 ),
inference(sat_conversion,[],[f2008]) ).
cnf(s66,plain,
( spl0_61
| ~ spl0_65
| ~ spl0_67 ),
inference(sat_conversion,[],[f2012]) ).
cnf(s73,plain,
( spl0_12
| ~ spl0_19
| ~ spl0_36
| spl0_57
| ~ spl0_69 ),
inference(sat_conversion,[],[f2050]) ).
cnf(s74,plain,
( ~ spl0_9
| ~ spl0_57
| ~ spl0_69
| spl0_71 ),
inference(sat_conversion,[],[f2055]) ).
cnf(s89,plain,
( ~ spl0_18
| spl0_59
| spl0_61 ),
inference(sat_conversion,[],[f2232]) ).
cnf(s96,plain,
( ~ spl0_46
| spl0_59
| spl0_61 ),
inference(sat_conversion,[],[f2241]) ).
cnf(s99,plain,
( spl0_18
| ~ spl0_46 ),
inference(sat_conversion,[],[f2247]) ).
cnf(s102,plain,
( ~ spl0_21
| spl0_57
| spl0_61 ),
inference(sat_conversion,[],[f2253]) ).
cnf(s106,plain,
( ~ spl0_1
| spl0_20
| spl0_57
| spl0_61 ),
inference(sat_conversion,[],[f2264]) ).
cnf(s114,plain,
( ~ spl0_12
| ~ spl0_69 ),
inference(sat_conversion,[],[f2289]) ).
cnf(s118,plain,
( ~ spl0_19
| ~ spl0_26 ),
inference(sat_conversion,[],[f2310]) ).
cnf(s119,plain,
( spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f2316]) ).
cnf(s120,plain,
( ~ spl0_16
| ~ spl0_25 ),
inference(sat_conversion,[],[f2318]) ).
cnf(s123,plain,
( spl0_16
| ~ spl0_25
| ~ spl0_32
| ~ spl0_57
| spl0_69 ),
inference(sat_conversion,[],[f2336]) ).
cnf(s125,plain,
( ~ spl0_25
| ~ spl0_32
| spl0_69
| ~ spl0_88 ),
inference(sat_conversion,[],[f2349]) ).
cnf(s126,plain,
( ~ spl0_57
| ~ spl0_71 ),
inference(sat_conversion,[],[f2354]) ).
cnf(s140,plain,
( ~ spl0_13
| spl0_20
| spl0_24 ),
inference(sat_conversion,[],[f2450]) ).
cnf(s142,plain,
( spl0_12
| ~ spl0_13
| ~ spl0_19
| ~ spl0_36
| spl0_91 ),
inference(sat_conversion,[],[f2455]) ).
cnf(s145,plain,
( spl0_8
| spl0_12
| ~ spl0_69
| ~ spl0_88 ),
inference(sat_conversion,[],[f2533]) ).
cnf(s147,plain,
( ~ spl0_33
| spl0_61
| spl0_88 ),
inference(sat_conversion,[],[f2535]) ).
cnf(s149,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f2541]) ).
cnf(s151,plain,
( ~ spl0_12
| ~ spl0_24 ),
inference(sat_conversion,[],[f2551]) ).
cnf(s153,plain,
( ~ spl0_17
| spl0_57 ),
inference(sat_conversion,[],[f2560]) ).
cnf(s167,plain,
( ~ spl0_5
| spl0_19
| spl0_24
| spl0_35 ),
inference(sat_conversion,[],[f2788]) ).
cnf(s168,plain,
( ~ spl0_5
| spl0_8
| spl0_12
| spl0_19
| ~ spl0_25
| spl0_35 ),
inference(sat_conversion,[],[f2790]) ).
cnf(s186,plain,
~ spl0_35,
inference(sat_conversion,[],[f2956]) ).
cnf(s190,plain,
( spl0_8
| ~ spl0_59
| spl0_71
| ~ spl0_88 ),
inference(sat_conversion,[],[f2970]) ).
cnf(s197,plain,
( ~ spl0_59
| spl0_71
| ~ spl0_93
| ~ spl0_108
| spl0_109 ),
inference(sat_conversion,[],[f3150]) ).
cnf(s210,plain,
( ~ spl0_109
| spl0_116 ),
inference(sat_conversion,[],[f3757]) ).
cnf(s214,plain,
( spl0_57
| spl0_118 ),
inference(sat_conversion,[],[f3940]) ).
cnf(s220,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_13
| spl0_57
| ~ spl0_108
| spl0_120 ),
inference(sat_conversion,[],[f4721]) ).
cnf(s250,plain,
( ~ spl0_20
| ~ spl0_57
| spl0_71
| ~ spl0_72 ),
inference(sat_conversion,[],[f5878]) ).
cnf(s257,plain,
( ~ spl0_57
| spl0_110 ),
inference(sat_conversion,[],[f5906]) ).
cnf(s258,plain,
( spl0_8
| spl0_16
| ~ spl0_57
| ~ spl0_59 ),
inference(sat_conversion,[],[f5908]) ).
cnf(s259,plain,
( ~ spl0_20
| ~ spl0_38
| spl0_132 ),
inference(sat_conversion,[],[f6034]) ).
cnf(s260,plain,
( ~ spl0_75
| spl0_77
| ~ spl0_132 ),
inference(sat_conversion,[],[f6080]) ).
cnf(s266,plain,
( spl0_103
| spl0_134 ),
inference(sat_conversion,[],[f6103]) ).
cnf(s274,plain,
( spl0_75
| ~ spl0_109 ),
inference(sat_conversion,[],[f6120]) ).
cnf(s275,plain,
( ~ spl0_2
| spl0_57
| spl0_88 ),
inference(sat_conversion,[],[f6165]) ).
cnf(s292,plain,
( ~ spl0_41
| spl0_61
| spl0_72 ),
inference(sat_conversion,[],[f6526]) ).
cnf(s293,plain,
( spl0_57
| ~ spl0_120
| spl0_121 ),
inference(sat_conversion,[],[f7003]) ).
cnf(s319,plain,
~ spl0_73,
inference(sat_conversion,[],[f7371]) ).
cnf(s350,plain,
( ~ spl0_1
| ~ spl0_118
| spl0_154 ),
inference(sat_conversion,[],[f7894]) ).
cnf(s353,plain,
( spl0_61
| spl0_135 ),
inference(sat_conversion,[],[f7917]) ).
cnf(s354,plain,
( spl0_35
| spl0_61
| spl0_135 ),
inference(sat_conversion,[],[f7918]) ).
cnf(s420,plain,
( ~ spl0_59
| ~ spl0_71 ),
inference(sat_conversion,[],[f9709]) ).
cnf(s421,plain,
( ~ spl0_71
| spl0_75
| ~ spl0_154 ),
inference(sat_conversion,[],[f9713]) ).
cnf(s426,plain,
( spl0_59
| spl0_70
| spl0_136 ),
inference(sat_conversion,[],[f9728]) ).
cnf(s434,plain,
( ~ spl0_1
| spl0_57
| spl0_108 ),
inference(sat_conversion,[],[f9752]) ).
cnf(s445,plain,
( ~ spl0_38
| spl0_59
| spl0_72 ),
inference(sat_conversion,[],[f9862]) ).
cnf(s446,plain,
( ~ spl0_6
| spl0_19
| spl0_59
| spl0_72 ),
inference(sat_conversion,[],[f9865]) ).
cnf(s822,plain,
( ~ spl0_29
| spl0_143
| ~ spl0_252
| ~ spl0_260 ),
inference(sat_conversion,[],[f13679]) ).
cnf(s827,plain,
( spl0_8
| spl0_16
| ~ spl0_77
| ~ spl0_263 ),
inference(sat_conversion,[],[f13729]) ).
cnf(s830,plain,
( spl0_102
| spl0_260 ),
inference(sat_conversion,[],[f13744]) ).
cnf(s848,plain,
( ~ spl0_126
| ~ spl0_253 ),
inference(sat_conversion,[],[f13930]) ).
cnf(s858,plain,
( ~ spl0_108
| ~ spl0_126
| spl0_272 ),
inference(sat_conversion,[],[f13964]) ).
cnf(s871,plain,
( ~ spl0_1
| spl0_20
| spl0_36 ),
inference(sat_conversion,[],[f14033]) ).
cnf(s880,plain,
( ~ spl0_1
| spl0_20
| spl0_278 ),
inference(sat_conversion,[],[f14061]) ).
cnf(s915,plain,
( ~ spl0_18
| spl0_59
| ~ spl0_102
| spl0_126
| ~ spl0_258 ),
inference(sat_conversion,[],[f14167]) ).
cnf(s924,plain,
( ~ spl0_1
| spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f14197]) ).
cnf(s926,plain,
( ~ spl0_1
| spl0_9
| spl0_301 ),
inference(sat_conversion,[],[f14203]) ).
cnf(s928,plain,
( ~ spl0_1
| spl0_9
| spl0_93 ),
inference(sat_conversion,[],[f14208]) ).
cnf(s935,plain,
( ~ spl0_1
| spl0_9
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f14222]) ).
cnf(s937,plain,
( ~ spl0_1
| spl0_9
| spl0_57
| spl0_59 ),
inference(sat_conversion,[],[f14227]) ).
cnf(s938,plain,
( ~ spl0_19
| spl0_240 ),
inference(sat_conversion,[],[f14249]) ).
cnf(s996,plain,
~ spl0_70,
inference(sat_conversion,[],[f14580]) ).
cnf(s1003,plain,
( ~ spl0_71
| ~ spl0_258 ),
inference(sat_conversion,[],[f14615]) ).
cnf(s1004,plain,
( ~ spl0_61
| ~ spl0_71 ),
inference(sat_conversion,[],[f14617]) ).
cnf(s1038,plain,
~ spl0_271,
inference(sat_conversion,[],[f14871]) ).
cnf(s1040,plain,
( ~ spl0_69
| spl0_216 ),
inference(sat_conversion,[],[f14879]) ).
cnf(s1090,plain,
~ spl0_274,
inference(sat_conversion,[],[f15250]) ).
cnf(s1103,plain,
( ~ spl0_93
| spl0_301 ),
inference(sat_conversion,[],[f15352]) ).
cnf(s1106,plain,
( spl0_59
| spl0_328 ),
inference(sat_conversion,[],[f15372]) ).
cnf(s1107,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f15373]) ).
cnf(s1109,plain,
( ~ spl0_1
| spl0_9
| spl0_200 ),
inference(sat_conversion,[],[f15377]) ).
cnf(s1110,plain,
( ~ spl0_24
| spl0_238 ),
inference(sat_conversion,[],[f15382]) ).
cnf(s1112,plain,
( ~ spl0_59
| spl0_221 ),
inference(sat_conversion,[],[f15393]) ).
cnf(s1113,plain,
( spl0_12
| ~ spl0_24
| ~ spl0_59
| ~ spl0_61 ),
inference(sat_conversion,[],[f15395]) ).
cnf(s1128,plain,
( spl0_20
| ~ spl0_121 ),
inference(sat_conversion,[],[f15452]) ).
cnf(s1137,plain,
( spl0_126
| spl0_143
| ~ spl0_150
| ~ spl0_253
| ~ spl0_258 ),
inference(sat_conversion,[],[f15566]) ).
cnf(s1139,plain,
( spl0_102
| ~ spl0_150
| spl0_258 ),
inference(sat_conversion,[],[f15580]) ).
cnf(s1147,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_75
| ~ spl0_313 ),
inference(sat_conversion,[],[f15706]) ).
cnf(s1148,plain,
( ~ spl0_75
| ~ spl0_253
| spl0_270 ),
inference(sat_conversion,[],[f15708]) ).
cnf(s1151,plain,
( spl0_126
| ~ spl0_154
| ~ spl0_253
| ~ spl0_258
| spl0_263 ),
inference(sat_conversion,[],[f15714]) ).
cnf(s1158,plain,
( ~ spl0_1
| spl0_20
| spl0_102
| spl0_134 ),
inference(sat_conversion,[],[f15731]) ).
cnf(s1160,plain,
( ~ spl0_24
| spl0_26
| ~ spl0_72
| ~ spl0_216 ),
inference(sat_conversion,[],[f15759]) ).
cnf(s1166,plain,
( ~ spl0_263
| ~ spl0_270 ),
inference(sat_conversion,[],[f15794]) ).
cnf(s1186,plain,
( ~ spl0_108
| ~ spl0_270 ),
inference(sat_conversion,[],[f15998]) ).
cnf(s1194,plain,
( ~ spl0_134
| ~ spl0_253
| ~ spl0_263
| spl0_270 ),
inference(sat_conversion,[],[f16006]) ).
cnf(s1195,plain,
( ~ spl0_1
| spl0_263
| spl0_327 ),
inference(sat_conversion,[],[f16009]) ).
cnf(s1197,plain,
( ~ spl0_116
| spl0_263
| spl0_271 ),
inference(sat_conversion,[],[f16024]) ).
cnf(s1198,plain,
( spl0_8
| spl0_16
| spl0_35
| ~ spl0_116
| ~ spl0_240 ),
inference(sat_conversion,[],[f16027]) ).
cnf(s1258,plain,
( ~ spl0_9
| spl0_126
| ~ spl0_134
| ~ spl0_306 ),
inference(sat_conversion,[],[f16384]) ).
cnf(s1262,plain,
( ~ spl0_66
| spl0_339
| ~ spl0_367 ),
inference(sat_conversion,[],[f16424]) ).
cnf(s1265,plain,
( ~ spl0_21
| spl0_278 ),
inference(sat_conversion,[],[f16467]) ).
cnf(s1285,plain,
( spl0_323
| spl0_348
| spl0_360 ),
inference(sat_conversion,[],[f16631]) ).
cnf(s1295,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_134
| ~ spl0_313 ),
inference(sat_conversion,[],[f16724]) ).
cnf(s1306,plain,
( spl0_356
| spl0_366
| spl0_372 ),
inference(sat_conversion,[],[f16840]) ).
cnf(s1308,plain,
( ~ spl0_61
| spl0_71
| ~ spl0_143
| ~ spl0_356 ),
inference(sat_conversion,[],[f16854]) ).
cnf(s1310,plain,
( ~ spl0_1
| ~ spl0_9
| spl0_12
| spl0_327
| ~ spl0_348 ),
inference(sat_conversion,[],[f16871]) ).
cnf(s1311,plain,
( spl0_12
| ~ spl0_24
| ~ spl0_143
| ~ spl0_348 ),
inference(sat_conversion,[],[f16872]) ).
cnf(s1312,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_263
| ~ spl0_348 ),
inference(sat_conversion,[],[f16873]) ).
cnf(s1315,plain,
( spl0_272
| spl0_340
| spl0_371 ),
inference(sat_conversion,[],[f16888]) ).
cnf(s1316,plain,
( spl0_35
| spl0_340
| spl0_371 ),
inference(sat_conversion,[],[f16889]) ).
cnf(s1320,plain,
( ~ spl0_102
| spl0_126
| ~ spl0_143
| ~ spl0_254 ),
inference(sat_conversion,[],[f16916]) ).
cnf(s1324,plain,
( ~ spl0_102
| spl0_126
| ~ spl0_238
| ~ spl0_306 ),
inference(sat_conversion,[],[f16920]) ).
cnf(s1325,plain,
( ~ spl0_126
| ~ spl0_134 ),
inference(sat_conversion,[],[f16935]) ).
cnf(s1326,plain,
( ~ spl0_102
| ~ spl0_126 ),
inference(sat_conversion,[],[f16938]) ).
cnf(s1351,plain,
~ spl0_272,
inference(sat_conversion,[],[f17150]) ).
cnf(s1362,plain,
( ~ spl0_9
| ~ spl0_263
| spl0_270
| ~ spl0_324 ),
inference(sat_conversion,[],[f17186]) ).
cnf(s1366,plain,
( spl0_12
| ~ spl0_24
| spl0_57
| ~ spl0_61
| spl0_70
| ~ spl0_200 ),
inference(sat_conversion,[],[f17222]) ).
cnf(s1367,plain,
( ~ spl0_113
| spl0_126
| ~ spl0_240
| ~ spl0_313 ),
inference(sat_conversion,[],[f17234]) ).
cnf(s1374,plain,
( ~ spl0_72
| ~ spl0_259
| spl0_270
| ~ spl0_356 ),
inference(sat_conversion,[],[f17282]) ).
cnf(s1388,plain,
( ~ spl0_61
| ~ spl0_69
| spl0_71
| ~ spl0_238 ),
inference(sat_conversion,[],[f17436]) ).
cnf(s1397,plain,
( ~ spl0_6
| ~ spl0_101
| ~ spl0_252
| spl0_348 ),
inference(sat_conversion,[],[f17590]) ).
cnf(s1401,plain,
( ~ spl0_6
| ~ spl0_255
| spl0_313
| ~ spl0_360 ),
inference(sat_conversion,[],[f17595]) ).
cnf(s1413,plain,
( ~ spl0_1
| spl0_134
| spl0_273 ),
inference(sat_conversion,[],[f17623]) ).
cnf(s1416,plain,
( spl0_126
| ~ spl0_221
| ~ spl0_258
| ~ spl0_313 ),
inference(sat_conversion,[],[f17674]) ).
cnf(s1426,plain,
( ~ spl0_132
| ~ spl0_263
| spl0_270
| spl0_348 ),
inference(sat_conversion,[],[f17893]) ).
cnf(s1441,plain,
( spl0_126
| ~ spl0_132
| ~ spl0_134
| spl0_313 ),
inference(sat_conversion,[],[f17942]) ).
cnf(s1444,plain,
( spl0_380
| spl0_381 ),
inference(sat_conversion,[],[f17955]) ).
cnf(s1447,plain,
( ~ spl0_1
| spl0_20
| spl0_143
| spl0_263 ),
inference(sat_conversion,[],[f17958]) ).
cnf(s1463,plain,
( ~ spl0_255
| spl0_346
| spl0_347
| spl0_348 ),
inference(sat_conversion,[],[f18164]) ).
cnf(s1470,plain,
( ~ spl0_19
| spl0_26
| ~ spl0_61
| ~ spl0_221 ),
inference(sat_conversion,[],[f18220]) ).
cnf(s1475,plain,
( spl0_71
| ~ spl0_72
| ~ spl0_113
| ~ spl0_258 ),
inference(sat_conversion,[],[f18301]) ).
cnf(s1505,plain,
( ~ spl0_1
| spl0_20
| spl0_259
| spl0_263
| spl0_274 ),
inference(sat_conversion,[],[f18424]) ).
cnf(s1509,plain,
( spl0_16
| ~ spl0_134
| ~ spl0_253
| ~ spl0_364 ),
inference(sat_conversion,[],[f18549]) ).
cnf(s1510,plain,
( ~ spl0_16
| ~ spl0_364 ),
inference(sat_conversion,[],[f18555]) ).
cnf(s1521,plain,
( ~ spl0_16
| ~ spl0_29
| ~ spl0_34
| spl0_389 ),
inference(sat_conversion,[],[f18634]) ).
cnf(s1525,plain,
( ~ spl0_1
| spl0_26
| ~ spl0_134
| ~ spl0_253
| spl0_263
| ~ spl0_389 ),
inference(sat_conversion,[],[f18661]) ).
cnf(s1531,plain,
( ~ spl0_136
| spl0_339
| ~ spl0_346
| ~ spl0_391 ),
inference(sat_conversion,[],[f18709]) ).
cnf(s1554,plain,
( spl0_35
| spl0_258
| spl0_391 ),
inference(sat_conversion,[],[f19126]) ).
cnf(s1566,plain,
( ~ spl0_8
| spl0_106
| ~ spl0_381
| spl0_399 ),
inference(sat_conversion,[],[f19297]) ).
cnf(s1590,plain,
( ~ spl0_9
| spl0_16
| ~ spl0_88
| ~ spl0_216 ),
inference(sat_conversion,[],[f19639]) ).
cnf(s1591,plain,
( ~ spl0_66
| ~ spl0_328
| spl0_408 ),
inference(sat_conversion,[],[f19670]) ).
cnf(s1593,plain,
( ~ spl0_8
| ~ spl0_68
| ~ spl0_408
| spl0_410 ),
inference(sat_conversion,[],[f19695]) ).
cnf(s1594,plain,
( spl0_348
| spl0_364
| ~ spl0_388 ),
inference(sat_conversion,[],[f19725]) ).
cnf(s1595,plain,
( spl0_19
| spl0_25
| ~ spl0_388 ),
inference(sat_conversion,[],[f19728]) ).
cnf(s1597,plain,
( spl0_8
| spl0_380 ),
inference(sat_conversion,[],[f19738]) ).
cnf(s1599,plain,
( spl0_263
| ~ spl0_301
| spl0_348 ),
inference(sat_conversion,[],[f19778]) ).
cnf(s1600,plain,
( spl0_19
| spl0_20
| ~ spl0_301 ),
inference(sat_conversion,[],[f19780]) ).
cnf(s1624,plain,
( spl0_19
| spl0_24
| ~ spl0_399 ),
inference(sat_conversion,[],[f20434]) ).
cnf(s1626,plain,
( spl0_306
| spl0_313
| ~ spl0_399 ),
inference(sat_conversion,[],[f20441]) ).
cnf(s1627,plain,
( spl0_59
| spl0_69
| ~ spl0_399 ),
inference(sat_conversion,[],[f20443]) ).
cnf(s1631,plain,
( ~ spl0_9
| spl0_12
| spl0_69
| ~ spl0_110
| ~ spl0_399 ),
inference(sat_conversion,[],[f20450]) ).
cnf(s1664,plain,
( spl0_73
| spl0_420
| spl0_421 ),
inference(sat_conversion,[],[f21038]) ).
cnf(s1665,plain,
( spl0_73
| spl0_422
| spl0_423 ),
inference(sat_conversion,[],[f21045]) ).
cnf(s1666,plain,
( ~ spl0_253
| ~ spl0_421
| spl0_424
| ~ spl0_425 ),
inference(sat_conversion,[],[f21061]) ).
cnf(s1670,plain,
( ~ spl0_1
| spl0_20
| spl0_426
| spl0_427 ),
inference(sat_conversion,[],[f21084]) ).
cnf(s1672,plain,
( ~ spl0_254
| ~ spl0_422
| spl0_424
| ~ spl0_430 ),
inference(sat_conversion,[],[f21114]) ).
cnf(s1688,plain,
( spl0_73
| spl0_254
| spl0_255 ),
inference(sat_conversion,[],[f21361]) ).
cnf(s1692,plain,
( ~ spl0_36
| ~ spl0_113
| spl0_126
| ~ spl0_253
| spl0_263 ),
inference(sat_conversion,[],[f21365]) ).
cnf(s1694,plain,
( spl0_26
| ~ spl0_36
| ~ spl0_102
| ~ spl0_253
| spl0_263 ),
inference(sat_conversion,[],[f21368]) ).
cnf(s1696,plain,
( ~ spl0_26
| ~ spl0_72 ),
inference(sat_conversion,[],[f21379]) ).
cnf(s1699,plain,
( spl0_73
| spl0_252
| spl0_253 ),
inference(sat_conversion,[],[f21390]) ).
cnf(s1701,plain,
( spl0_16
| ~ spl0_364
| ~ spl0_421
| ~ spl0_427 ),
inference(sat_conversion,[],[f21393]) ).
cnf(s1703,plain,
( ~ spl0_263
| spl0_270
| ~ spl0_421
| ~ spl0_427 ),
inference(sat_conversion,[],[f21400]) ).
cnf(s1707,plain,
( ~ spl0_1
| spl0_73
| ~ spl0_103
| spl0_253
| spl0_263 ),
inference(sat_conversion,[],[f21408]) ).
cnf(s1736,plain,
( ~ spl0_91
| spl0_427 ),
inference(sat_conversion,[],[f21538]) ).
cnf(s1742,plain,
( ~ spl0_340
| spl0_396 ),
inference(sat_conversion,[],[f21595]) ).
cnf(s1744,plain,
( ~ spl0_57
| spl0_71
| ~ spl0_134
| ~ spl0_340 ),
inference(sat_conversion,[],[f21599]) ).
cnf(s1745,plain,
( spl0_16
| ~ spl0_25
| ~ spl0_57
| ~ spl0_61 ),
inference(sat_conversion,[],[f21600]) ).
cnf(s1750,plain,
( ~ spl0_1
| spl0_134
| spl0_271
| spl0_427
| spl0_430 ),
inference(sat_conversion,[],[f21616]) ).
cnf(s1754,plain,
( ~ spl0_1
| spl0_134
| spl0_271
| spl0_425
| spl0_427 ),
inference(sat_conversion,[],[f21623]) ).
cnf(s1760,plain,
( ~ spl0_88
| ~ spl0_125
| spl0_126
| ~ spl0_340 ),
inference(sat_conversion,[],[f21672]) ).
cnf(s1765,plain,
( ~ spl0_110
| ~ spl0_263
| spl0_270
| ~ spl0_339 ),
inference(sat_conversion,[],[f21732]) ).
cnf(s1771,plain,
( spl0_67
| spl0_72
| spl0_73 ),
inference(sat_conversion,[],[f21755]) ).
cnf(s1781,plain,
( ~ spl0_88
| spl0_270
| ~ spl0_356
| ~ spl0_364 ),
inference(sat_conversion,[],[f21837]) ).
cnf(s1782,plain,
( ~ spl0_33
| spl0_143
| spl0_364 ),
inference(sat_conversion,[],[f21838]) ).
cnf(s1785,plain,
( ~ spl0_66
| spl0_258
| ~ spl0_347 ),
inference(sat_conversion,[],[f21875]) ).
cnf(s1789,plain,
( ~ spl0_125
| spl0_126
| ~ spl0_313
| ~ spl0_380 ),
inference(sat_conversion,[],[f21944]) ).
cnf(s1805,plain,
( spl0_431
| spl0_456 ),
inference(sat_conversion,[],[f22080]) ).
cnf(s1820,plain,
( ~ spl0_424
| ~ spl0_429 ),
inference(sat_conversion,[],[f22229]) ).
cnf(s1821,plain,
( ~ spl0_424
| ~ spl0_431 ),
inference(sat_conversion,[],[f22231]) ).
cnf(s1823,plain,
( ~ spl0_28
| ~ spl0_424
| spl0_427
| spl0_428 ),
inference(sat_conversion,[],[f22238]) ).
cnf(s1849,plain,
~ spl0_366,
inference(sat_conversion,[],[f22555]) ).
cnf(s1860,plain,
( ~ spl0_72
| spl0_424
| ~ spl0_426
| ~ spl0_467 ),
inference(sat_conversion,[],[f22586]) ).
cnf(s1866,plain,
( ~ spl0_57
| spl0_71
| ~ spl0_263
| ~ spl0_356 ),
inference(sat_conversion,[],[f22656]) ).
cnf(s1867,plain,
( ~ spl0_64
| ~ spl0_372
| ~ spl0_423
| spl0_467 ),
inference(sat_conversion,[],[f22657]) ).
cnf(s1870,plain,
( ~ spl0_64
| spl0_356
| ~ spl0_420
| ~ spl0_455 ),
inference(sat_conversion,[],[f22660]) ).
cnf(s1882,plain,
( ~ spl0_5
| spl0_399 ),
inference(sat_conversion,[],[f22764]) ).
cnf(s1923,plain,
~ spl0_323,
inference(sat_conversion,[],[f23134]) ).
cnf(s1941,plain,
( ~ spl0_424
| ~ spl0_467 ),
inference(sat_conversion,[],[f23227]) ).
cnf(s1947,plain,
( ~ spl0_1
| spl0_9
| spl0_134
| spl0_306 ),
inference(sat_conversion,[],[f23238]) ).
cnf(s1950,plain,
( ~ spl0_20
| spl0_26
| ~ spl0_61
| ~ spl0_110 ),
inference(sat_conversion,[],[f23243]) ).
cnf(s1963,plain,
( ~ spl0_1
| spl0_9
| spl0_57
| spl0_69 ),
inference(sat_conversion,[],[f23269]) ).
cnf(s1968,plain,
( ~ spl0_1
| spl0_57
| spl0_73
| spl0_134
| spl0_258 ),
inference(sat_conversion,[],[f23274]) ).
cnf(s1969,plain,
( ~ spl0_1
| spl0_73
| ~ spl0_118
| spl0_134
| spl0_258 ),
inference(sat_conversion,[],[f23275]) ).
cnf(s1974,plain,
( spl0_93
| ~ spl0_106 ),
inference(sat_conversion,[],[f23338]) ).
cnf(s1976,plain,
( ~ spl0_1
| ~ spl0_75
| spl0_126
| spl0_200
| ~ spl0_306 ),
inference(sat_conversion,[],[f23362]) ).
cnf(s1985,plain,
( ~ spl0_20
| spl0_26
| ~ spl0_143
| ~ spl0_263 ),
inference(sat_conversion,[],[f23421]) ).
cnf(s1991,plain,
( ~ spl0_25
| ~ spl0_102
| ~ spl0_125
| spl0_126 ),
inference(sat_conversion,[],[f23490]) ).
cnf(s2002,plain,
( ~ spl0_20
| spl0_26
| ~ spl0_75
| ~ spl0_102 ),
inference(sat_conversion,[],[f23657]) ).
cnf(s2004,plain,
( ~ spl0_1
| spl0_73
| spl0_134
| spl0_254
| spl0_263 ),
inference(sat_conversion,[],[f23660]) ).
cnf(s2009,plain,
( ~ spl0_1
| spl0_73
| spl0_134
| spl0_253
| spl0_263 ),
inference(sat_conversion,[],[f23671]) ).
cnf(s2013,plain,
( ~ spl0_1
| spl0_20
| ~ spl0_240
| spl0_473 ),
inference(sat_conversion,[],[f23680]) ).
cnf(s2023,plain,
( ~ spl0_1
| spl0_20
| spl0_113
| spl0_134 ),
inference(sat_conversion,[],[f23690]) ).
cnf(s2024,plain,
( ~ spl0_1
| spl0_20
| spl0_35
| spl0_57
| spl0_72 ),
inference(sat_conversion,[],[f23691]) ).
cnf(s2030,plain,
( ~ spl0_1
| ~ spl0_9
| spl0_12
| ~ spl0_19
| spl0_28 ),
inference(sat_conversion,[],[f23721]) ).
cnf(s2032,plain,
( ~ spl0_91
| spl0_263 ),
inference(sat_conversion,[],[f23755]) ).
cnf(s2034,plain,
( ~ spl0_200
| spl0_263
| spl0_323
| spl0_348 ),
inference(sat_conversion,[],[f23800]) ).
cnf(s2039,plain,
( ~ spl0_6
| spl0_348
| ~ spl0_420
| ~ spl0_456 ),
inference(sat_conversion,[],[f23983]) ).
cnf(s2041,plain,
( ~ spl0_57
| spl0_71
| ~ spl0_427
| ~ spl0_467 ),
inference(sat_conversion,[],[f24050]) ).
cnf(s2063,plain,
( ~ spl0_34
| spl0_41
| spl0_42
| ~ spl0_44 ),
inference(sat_conversion,[],[f24647]) ).
cnf(s2067,plain,
( ~ spl0_31
| spl0_41
| ~ spl0_45
| spl0_46 ),
inference(sat_conversion,[],[f24726]) ).
cnf(s2107,plain,
( ~ spl0_32
| spl0_429
| spl0_450 ),
inference(sat_conversion,[],[f25685]) ).
cnf(s2113,plain,
( ~ spl0_18
| spl0_429
| spl0_431 ),
inference(sat_conversion,[],[f25746]) ).
cnf(s2114,plain,
( ~ spl0_18
| spl0_102
| spl0_313 ),
inference(sat_conversion,[],[f25750]) ).
cnf(s2118,plain,
( ~ spl0_1
| ~ spl0_18
| spl0_26
| ~ spl0_134
| ~ spl0_253
| spl0_263
| spl0_313 ),
inference(sat_conversion,[],[f25757]) ).
cnf(s2150,plain,
( spl0_20
| spl0_113
| spl0_271
| ~ spl0_273 ),
inference(sat_conversion,[],[f26108]) ).
cnf(s2152,plain,
( ~ spl0_41
| spl0_102
| spl0_113 ),
inference(sat_conversion,[],[f26168]) ).
cnf(s2265,plain,
( ~ spl0_56
| ~ spl0_61
| spl0_71
| spl0_75
| ~ spl0_278 ),
inference(sat_conversion,[],[f28102]) ).
cnf(s2266,plain,
( ~ spl0_56
| ~ spl0_61
| spl0_71
| ~ spl0_143
| spl0_263 ),
inference(sat_conversion,[],[f28103]) ).
cnf(s2267,plain,
( ~ spl0_94
| spl0_356
| spl0_364 ),
inference(sat_conversion,[],[f28154]) ).
cnf(s2275,plain,
( spl0_16
| ~ spl0_88
| ~ spl0_134
| ~ spl0_396 ),
inference(sat_conversion,[],[f28178]) ).
cnf(s2276,plain,
( spl0_68
| spl0_88 ),
inference(sat_conversion,[],[f28183]) ).
cnf(s2278,plain,
( ~ spl0_88
| spl0_506 ),
inference(sat_conversion,[],[f28193]) ).
cnf(s2279,plain,
( ~ spl0_1
| spl0_108
| ~ spl0_410
| spl0_519 ),
inference(sat_conversion,[],[f28241]) ).
cnf(s2321,plain,
( ~ spl0_1
| ~ spl0_134
| ~ spl0_253
| spl0_263
| spl0_270
| ~ spl0_533
| spl0_538 ),
inference(sat_conversion,[],[f29185]) ).
cnf(s2344,plain,
( ~ spl0_58
| spl0_91
| spl0_348
| spl0_356
| ~ spl0_533
| ~ spl0_538 ),
inference(sat_conversion,[],[f30685]) ).
cnf(s2348,plain,
( ~ spl0_29
| ~ spl0_135
| spl0_150 ),
inference(sat_conversion,[],[f30696]) ).
cnf(s2349,plain,
( ~ spl0_135
| ~ spl0_136
| ~ spl0_265
| spl0_339 ),
inference(sat_conversion,[],[f30697]) ).
cnf(s2355,plain,
( spl0_71
| ~ spl0_88
| ~ spl0_125
| ~ spl0_258 ),
inference(sat_conversion,[],[f30769]) ).
cnf(s2357,plain,
( ~ spl0_110
| spl0_126
| ~ spl0_134
| ~ spl0_258 ),
inference(sat_conversion,[],[f30773]) ).
cnf(s2366,plain,
( ~ spl0_19
| ~ spl0_25
| spl0_26
| ~ spl0_380 ),
inference(sat_conversion,[],[f30787]) ).
cnf(s2374,plain,
( spl0_20
| ~ spl0_240
| spl0_269
| spl0_270
| ~ spl0_327
| ~ spl0_348 ),
inference(sat_conversion,[],[f30815]) ).
cnf(s2378,plain,
( ~ spl0_72
| spl0_507 ),
inference(sat_conversion,[],[f30874]) ).
cnf(s2379,plain,
( ~ spl0_25
| spl0_26
| ~ spl0_72
| ~ spl0_506 ),
inference(sat_conversion,[],[f30875]) ).
cnf(s2382,plain,
( spl0_263
| ~ spl0_270
| ~ spl0_278 ),
inference(sat_conversion,[],[f30914]) ).
cnf(s2388,plain,
( ~ spl0_28
| spl0_263
| spl0_269
| ~ spl0_270 ),
inference(sat_conversion,[],[f30929]) ).
cnf(s2391,plain,
( ~ spl0_59
| spl0_71
| ~ spl0_72
| ~ spl0_240 ),
inference(sat_conversion,[],[f30938]) ).
cnf(s2448,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_59
| ~ spl0_110 ),
inference(sat_conversion,[],[f31097]) ).
cnf(s2453,plain,
( ~ spl0_143
| spl0_270
| ~ spl0_278
| ~ spl0_327
| spl0_533 ),
inference(sat_conversion,[],[f31129]) ).
cnf(s2455,plain,
( ~ spl0_364
| spl0_513 ),
inference(sat_conversion,[],[f31135]) ).
cnf(s2456,plain,
( ~ spl0_102
| spl0_508 ),
inference(sat_conversion,[],[f31142]) ).
cnf(s2465,plain,
( spl0_424
| spl0_427
| spl0_428
| ~ spl0_431
| ~ spl0_473 ),
inference(sat_conversion,[],[f31205]) ).
cnf(s2510,plain,
~ spl0_269,
inference(sat_conversion,[],[f31459]) ).
cnf(s2522,plain,
( spl0_126
| spl0_134
| spl0_271
| ~ spl0_313
| ~ spl0_473 ),
inference(sat_conversion,[],[f31506]) ).
cnf(s2534,plain,
~ spl0_428,
inference(sat_conversion,[],[f31697]) ).
cnf(s2546,plain,
( ~ spl0_339
| spl0_504 ),
inference(sat_conversion,[],[f31742]) ).
cnf(s2560,plain,
( spl0_71
| ~ spl0_88
| ~ spl0_339
| ~ spl0_513 ),
inference(sat_conversion,[],[f31922]) ).
cnf(s2564,plain,
( spl0_16
| ~ spl0_20
| ~ spl0_88
| ~ spl0_507 ),
inference(sat_conversion,[],[f31939]) ).
cnf(s2573,plain,
( ~ spl0_29
| ~ spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f32153]) ).
cnf(s2574,plain,
( ~ spl0_29
| spl0_33
| ~ spl0_34 ),
inference(sat_conversion,[],[f32154]) ).
cnf(s2585,plain,
( ~ spl0_2
| spl0_20
| spl0_25 ),
inference(sat_conversion,[],[f32381]) ).
cnf(s2586,plain,
( ~ spl0_2
| spl0_125
| spl0_134 ),
inference(sat_conversion,[],[f32384]) ).
cnf(s2589,plain,
( ~ spl0_125
| spl0_126
| ~ spl0_253
| ~ spl0_513 ),
inference(sat_conversion,[],[f32389]) ).
cnf(s2593,plain,
( ~ spl0_19
| spl0_26
| ~ spl0_429
| ~ spl0_431 ),
inference(sat_conversion,[],[f32393]) ).
cnf(s2594,plain,
( ~ spl0_253
| spl0_270
| ~ spl0_313
| ~ spl0_348 ),
inference(sat_conversion,[],[f32394]) ).
cnf(s2599,plain,
( ~ spl0_2
| spl0_263
| spl0_364 ),
inference(sat_conversion,[],[f32429]) ).
cnf(s2600,plain,
( ~ spl0_126
| ~ spl0_313 ),
inference(sat_conversion,[],[f32431]) ).
cnf(s2603,plain,
( spl0_125
| spl0_126
| ~ spl0_134
| ~ spl0_519 ),
inference(sat_conversion,[],[f32442]) ).
cnf(s2604,plain,
( spl0_16
| ~ spl0_25
| ~ spl0_134
| ~ spl0_508 ),
inference(sat_conversion,[],[f32444]) ).
cnf(s2606,plain,
( spl0_264
| spl0_323
| spl0_324 ),
inference(sat_conversion,[],[f32465]) ).
cnf(s2609,plain,
( ~ spl0_270
| ~ spl0_348 ),
inference(sat_conversion,[],[f32468]) ).
cnf(s2610,plain,
( ~ spl0_64
| ~ spl0_68
| spl0_94 ),
inference(sat_conversion,[],[f32469]) ).
cnf(s2611,plain,
( spl0_16
| ~ spl0_57
| ~ spl0_364
| ~ spl0_504 ),
inference(sat_conversion,[],[f32470]) ).
cnf(s2627,plain,
( spl0_21
| ~ spl0_42 ),
inference(sat_conversion,[],[f32552]) ).
cnf(s2633,plain,
( spl0_269
| spl0_455
| spl0_467 ),
inference(sat_conversion,[],[f32628]) ).
cnf(s2636,plain,
( spl0_274
| spl0_455
| spl0_467 ),
inference(sat_conversion,[],[f32631]) ).
cnf(s2645,plain,
( ~ spl0_2
| spl0_16
| spl0_25
| ~ spl0_240
| ~ spl0_380 ),
inference(sat_conversion,[],[f32721]) ).
cnf(s2646,plain,
( spl0_126
| ~ spl0_216
| ~ spl0_306
| ~ spl0_340 ),
inference(sat_conversion,[],[f32732]) ).
cnf(s2649,plain,
( ~ spl0_64
| ~ spl0_252
| spl0_356
| ~ spl0_371 ),
inference(sat_conversion,[],[f32735]) ).
cnf(s2654,plain,
( ~ spl0_252
| spl0_313
| spl0_346
| spl0_367 ),
inference(sat_conversion,[],[f32740]) ).
cnf(s2656,plain,
( ~ spl0_216
| spl0_424
| ~ spl0_450
| ~ spl0_467 ),
inference(sat_conversion,[],[f32742]) ).
cnf(s2659,plain,
( ~ spl0_20
| ~ spl0_113
| spl0_126
| ~ spl0_134 ),
inference(sat_conversion,[],[f32762]) ).
cnf(s2660,plain,
( ~ spl0_2
| spl0_9
| spl0_380 ),
inference(sat_conversion,[],[f32763]) ).
cnf(s2672,plain,
( spl0_12
| ~ spl0_24
| ~ spl0_25
| ~ spl0_380 ),
inference(sat_conversion,[],[f32882]) ).
cnf(s2673,plain,
( ~ spl0_16
| ~ spl0_380 ),
inference(sat_conversion,[],[f32885]) ).
cnf(s2684,plain,
( ~ spl0_45
| ~ spl0_264
| spl0_265
| ~ spl0_420
| spl0_426 ),
inference(sat_conversion,[],[f33027]) ).
cnf(s2696,plain,
( spl0_16
| ~ spl0_20
| ~ spl0_240
| ~ spl0_380 ),
inference(sat_conversion,[],[f33105]) ).
cnf(s2709,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_388 ),
inference(sat_conversion,[],[f33186]) ).
cnf(s2713,plain,
( spl0_126
| ~ spl0_254
| ~ spl0_313
| ~ spl0_348 ),
inference(sat_conversion,[],[f33234]) ).
cnf(s2724,plain,
( spl0_101
| spl0_274
| spl0_313 ),
inference(sat_conversion,[],[f33369]) ).
cnf(s2742,plain,
( ~ spl0_30
| spl0_41 ),
inference(sat_conversion,[],[f33500]) ).
cnf(s2744,plain,
( ~ spl0_14
| spl0_24
| ~ spl0_42 ),
inference(sat_conversion,[],[f33503]) ).
cnf(s2746,plain,
( spl0_134
| ~ spl0_200
| spl0_274
| spl0_313 ),
inference(sat_conversion,[],[f33506]) ).
cnf(s2747,plain,
( ~ spl0_6
| spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f33507]) ).
cnf(s2748,plain,
( ~ spl0_6
| spl0_38
| ~ spl0_39 ),
inference(sat_conversion,[],[f33508]) ).
cnf(s2751,plain,
( spl0_66
| spl0_69
| spl0_70 ),
inference(sat_conversion,[],[f33529]) ).
cnf(s2754,plain,
( spl0_12
| ~ spl0_69
| ~ spl0_380
| ~ spl0_506 ),
inference(sat_conversion,[],[f33542]) ).
cnf(s2755,plain,
( spl0_424
| spl0_427
| ~ spl0_431
| ~ spl0_473 ),
inference(rat,[],[s2465,s2534]) ).
cnf(s2757,plain,
( ~ spl0_28
| spl0_263
| ~ spl0_270 ),
inference(rat,[],[s2388,s2510]) ).
cnf(s2759,plain,
( spl0_20
| ~ spl0_240
| spl0_270
| ~ spl0_327
| ~ spl0_348 ),
inference(rat,[],[s2374,s2510]) ).
cnf(s2775,plain,
( ~ spl0_28
| ~ spl0_424
| spl0_427 ),
inference(rat,[],[s1823,s2534]) ).
cnf(s2810,plain,
( spl0_340
| spl0_371 ),
inference(rat,[],[s1315,s1351]) ).
cnf(s2811,plain,
( spl0_356
| spl0_372 ),
inference(rat,[],[s1306,s1849]) ).
cnf(s2812,plain,
( spl0_348
| spl0_360 ),
inference(rat,[],[s1285,s1923]) ).
cnf(s2827,plain,
( ~ spl0_108
| ~ spl0_126 ),
inference(rat,[],[s858,s1351]) ).
cnf(s2866,plain,
( spl0_59
| spl0_136 ),
inference(rat,[],[s426,s996]) ).
cnf(s2876,plain,
( ~ spl0_5
| spl0_8
| spl0_12
| spl0_19
| ~ spl0_25 ),
inference(rat,[],[s168,s186]) ).
cnf(s2877,plain,
( ~ spl0_5
| spl0_19
| spl0_24 ),
inference(rat,[],[s167,s186]) ).
cnf(s2891,plain,
( ~ spl0_19
| spl0_8
| ~ spl0_2 ),
inference(rat,[],[s2645,s18,s118,s938,s1597,s119]) ).
cnf(s2892,plain,
( ~ spl0_88
| ~ spl0_20
| ~ spl0_38
| spl0_8 ),
inference(rat,[],[s190,s420,s445,s2378,s2564,s119]) ).
cnf(s2893,plain,
( ~ spl0_20
| ~ spl0_38
| spl0_8
| ~ spl0_2 ),
inference(rat,[],[s445,s250,s258,s126,s275,s2892,s119]) ).
cnf(s2895,plain,
( ~ spl0_57
| ~ spl0_25
| ~ spl0_18
| spl0_8 ),
inference(rat,[],[s89,s1745,s258,s119]) ).
cnf(s2896,plain,
( ~ spl0_59
| ~ spl0_88
| spl0_8 ),
inference(rat,[],[s190,s420]) ).
cnf(s2897,plain,
( spl0_8
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2379,s1696,s445,s2896,s2278,s275,s2895,s2585,s2893,s2748,s2747,s39,s2891]) ).
cnf(s2898,plain,
( ~ spl0_9
| ~ spl0_19
| ~ spl0_20 ),
inference(rat,[],[s1107,s14]) ).
cnf(s2899,plain,
( spl0_25
| ~ spl0_388
| ~ spl0_2 ),
inference(rat,[],[s2645,s2673,s2660,s2898,s938,s1595,s2585]) ).
cnf(s2900,plain,
( spl0_12
| ~ spl0_380
| ~ spl0_88
| spl0_19
| ~ spl0_25 ),
inference(rat,[],[s21,s2573,s46,s125,s27,s2754,s2672,s2278]) ).
cnf(s2901,plain,
( ~ spl0_12
| ~ spl0_88
| spl0_19
| ~ spl0_25 ),
inference(rat,[],[s21,s2573,s46,s125,s27,s114,s151]) ).
cnf(s2902,plain,
( ~ spl0_88
| spl0_19
| ~ spl0_25
| ~ spl0_2 ),
inference(rat,[],[s21,s2573,s46,s125,s27,s1040,s42,s1590,s2660,s2900,s2901,s120]) ).
cnf(s2903,plain,
( ~ spl0_313
| ~ spl0_380
| ~ spl0_150
| ~ spl0_221
| ~ spl0_25
| ~ spl0_2 ),
inference(rat,[],[s2604,s2456,s2586,s1139,s1789,s1416,s2600,s120]) ).
cnf(s2904,plain,
( ~ spl0_102
| ~ spl0_25
| ~ spl0_2 ),
inference(rat,[],[s2586,s2604,s1991,s1326,s2456,s120]) ).
cnf(s2905,plain,
( spl0_19
| ~ spl0_20
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1416,s2600,s1139,s2114,s2348,s21,s2742,s1112,s292,s89,s354,s250,s1745,s126,s275,s2902,s2747,s120,s2904,s2899,s2709,s2897,s186]) ).
cnf(s2906,plain,
( ~ spl0_20
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2660,s2366,s2898,s2905,s50,s2899,s2709,s2897]) ).
cnf(s2907,plain,
( ~ spl0_24
| ~ spl0_25
| ~ spl0_2 ),
inference(rat,[],[s2660,s2672,s42,s151,s120]) ).
cnf(s2908,plain,
( spl0_19
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2903,s1444,s1112,s2348,s1566,s89,s354,s1974,s1745,s21,s1103,s275,s2114,s46,s1624,s1600,s2902,s2747,s120,s2904,s2906,s27,s2907,s2899,s2709,s2897,s186]) ).
cnf(s2909,plain,
( ~ spl0_313
| ~ spl0_113
| ~ spl0_240 ),
inference(rat,[],[s1367,s2600]) ).
cnf(s2910,plain,
( ~ spl0_263
| ~ spl0_134
| ~ spl0_371
| ~ spl0_64
| ~ spl0_57 ),
inference(rat,[],[s1699,s2649,s1194,s1866,s1166,s126,s319]) ).
cnf(s2912,plain,
( spl0_364
| ~ spl0_94
| ~ spl0_57
| ~ spl0_2 ),
inference(rat,[],[s1866,s2267,s2599,s126]) ).
cnf(s2913,plain,
( ~ spl0_57
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2586,s2589,s1509,s848,s1699,s2654,s1531,s1262,s2546,s2611,s2455,s2912,s2909,s2610,s2276,s1554,s2278,s1475,s2379,s2152,s292,s64,s2067,s65,s2866,s2751,s96,s2448,s74,s1745,s126,s257,s120,s2904,s43,s27,s2907,s938,s14,s2660,s2366,s118,s2908,s2899,s2709,s2897,s319,s186,s996]) ).
cnf(s2914,plain,
( ~ spl0_252
| ~ spl0_371
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2599,s1781,s1312,s2609,s2649,s1397,s14,s2724,s2909,s2152,s2904,s938,s64,s65,s1112,s1470,s292,s2742,s21,s2573,s125,s27,s2907,s2379,s2278,s2751,s1040,s1590,s275,s2913,s120,s2660,s2366,s118,s2908,s2899,s2709,s2897,s996,s1090]) ).
cnf(s2915,plain,
( spl0_364
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1312,s1594,s2599,s14,s2660,s2366,s118,s2908,s2899,s2709,s2897]) ).
cnf(s2916,plain,
( ~ spl0_134
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2914,s1316,s1699,s1742,s1509,s2275,s120,s2899,s2709,s2897,s275,s2913,s2915,s186,s319]) ).
cnf(s2917,plain,
( spl0_126
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s2914,s1699,s1316,s2589,s1760,s275,s2913,s2455,s2915,s2586,s2916,s319,s186]) ).
cnf(s2918,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1699,s2654,s848,s1531,s2917,s1554,s2355,s2586,s2916,s1262,s2560,s2455,s2915,s2866,s1112,s2909,s1470,s1004,s2152,s292,s2742,s21,s2573,s125,s2751,s1040,s2379,s1590,s2278,s275,s2913,s2660,s2366,s118,s938,s2908,s27,s2907,s2904,s120,s2899,s2709,s2897,s996,s186,s319]) ).
cnf(s2919,plain,
( ~ spl0_57
| ~ spl0_9
| ~ spl0_399 ),
inference(rat,[],[s1631,s74,s126,s257,s14]) ).
cnf(s2920,plain,
( ~ spl0_25
| ~ spl0_2 ),
inference(rat,[],[s292,s2742,s1470,s21,s1112,s2573,s1627,s125,s1040,s2379,s1590,s2278,s275,s2919,s5,s18,s118,s2877,s27,s2907,s120,s1882,s3,s2918]) ).
cnf(s2921,plain,
( spl0_88
| ~ spl0_2 ),
inference(rat,[],[s21,s2574,s2742,s147,s292,s250,s1950,s126,s257,s275,s25,s50,s2585,s2920]) ).
cnf(s2923,plain,
( ~ spl0_19
| ~ spl0_2 ),
inference(rat,[],[s5,s2898,s2891,s3,s2918,s2585,s2920]) ).
cnf(s2924,plain,
~ spl0_2,
inference(rat,[],[s1627,s145,s2896,s5,s29,s151,s2877,s2923,s2921,s50,s2585,s2920,s1882,s3,s2918]) ).
cnf(s2925,plain,
spl0_1,
inference(rat,[],[s1,s2924]) ).
cnf(s2926,plain,
( ~ spl0_134
| spl0_126
| ~ spl0_252
| spl0_125
| ~ spl0_410
| spl0_20
| ~ spl0_9
| ~ spl0_240
| ~ spl0_6 ),
inference(rat,[],[s1310,s2759,s1186,s1397,s2279,s2724,s2603,s1295,s14,s2925,s1090]) ).
cnf(s2927,plain,
( spl0_126
| spl0_253
| spl0_125
| ~ spl0_410
| spl0_20
| ~ spl0_9
| ~ spl0_240
| ~ spl0_6 ),
inference(rat,[],[s1397,s1312,s2724,s2009,s2522,s2926,s14,s2013,s1699,s1090,s319,s2925,s1038]) ).
cnf(s2928,plain,
( ~ spl0_126
| spl0_20 ),
inference(rat,[],[s1158,s1325,s1326,s2925]) ).
cnf(s2929,plain,
( ~ spl0_134
| ~ spl0_253
| spl0_125
| ~ spl0_410
| spl0_20
| ~ spl0_9
| ~ spl0_388
| ~ spl0_240
| spl0_16 ),
inference(rat,[],[s1310,s2759,s1186,s1594,s2279,s1509,s2603,s14,s2928,s2925]) ).
cnf(s2930,plain,
( ~ spl0_421
| ~ spl0_364
| spl0_134
| ~ spl0_253
| ~ spl0_28
| spl0_16 ),
inference(rat,[],[s1666,s1754,s2775,s1701,s1038,s2925]) ).
cnf(s2931,plain,
( spl0_125
| ~ spl0_94
| ~ spl0_72
| ~ spl0_410
| ~ spl0_45
| ~ spl0_28
| spl0_20
| ~ spl0_9
| ~ spl0_135
| ~ spl0_57
| ~ spl0_388
| spl0_26
| ~ spl0_240
| spl0_16
| ~ spl0_6 ),
inference(rat,[],[s1860,s1821,s2636,s1805,s2684,s1870,s2039,s1664,s2930,s2606,s2349,s2267,s1362,s1765,s1312,s1866,s1166,s1694,s1158,s2929,s2927,s871,s2866,s64,s65,s2751,s74,s126,s2448,s14,s257,s2928,s1090,s319,s1923,s2925,s996]) ).
cnf(s2932,plain,
( ~ spl0_9
| ~ spl0_57
| ~ spl0_68
| ~ spl0_19
| ~ spl0_25
| ~ spl0_6 ),
inference(rat,[],[s2759,s2757,s1195,s1599,s2910,s1316,s1744,s1158,s1991,s2931,s2928,s2610,s292,s64,s1593,s1103,s2067,s65,s1591,s1974,s96,s1106,s2751,s1566,s27,s43,s2448,s2030,s74,s2919,s2898,s42,s14,s938,s2709,s18,s1444,s2366,s118,s257,s126,s354,s1745,s120,s2925,s186,s996]) ).
cnf(s2933,plain,
( spl0_20
| ~ spl0_13
| spl0_61
| ~ spl0_57
| ~ spl0_19 ),
inference(rat,[],[s2751,s1040,s65,s1160,s2391,s1771,s66,s64,s1870,s1664,s2633,s1703,s2041,s1866,s1166,s1736,s2032,s142,s151,s140,s871,s938,s118,s126,s996,s319,s2510,s2925]) ).
cnf(s2934,plain,
( ~ spl0_424
| ~ spl0_18 ),
inference(rat,[],[s2113,s1820,s1821]) ).
cnf(s2935,plain,
( ~ spl0_421
| spl0_424
| ~ spl0_364
| ~ spl0_253
| spl0_134
| spl0_16 ),
inference(rat,[],[s1754,s1666,s1701,s1038,s2925]) ).
cnf(s2936,plain,
( ~ spl0_263
| ~ spl0_253
| ~ spl0_306
| ~ spl0_313
| spl0_134
| spl0_126
| ~ spl0_94
| ~ spl0_20
| ~ spl0_57
| ~ spl0_19
| ~ spl0_25
| ~ spl0_6 ),
inference(rat,[],[s2107,s2593,s2656,s1805,s2636,s2039,s1870,s1664,s2935,s2934,s1040,s123,s99,s2573,s2067,s27,s43,s1110,s1324,s1139,s1137,s2267,s2594,s1985,s1866,s1166,s118,s64,s66,s1771,s2348,s21,s2742,s292,s250,s126,s354,s1745,s120,s1090,s319,s186]) ).
cnf(s2937,plain,
( spl0_263
| ~ spl0_313
| spl0_134
| spl0_126
| ~ spl0_301 ),
inference(rat,[],[s2713,s2004,s1599,s319,s2925]) ).
cnf(s2938,plain,
( spl0_134
| spl0_126
| ~ spl0_94
| spl0_9
| ~ spl0_57
| ~ spl0_19
| ~ spl0_25
| ~ spl0_6 ),
inference(rat,[],[s2573,s123,s27,s1040,s1110,s2646,s1324,s2810,s830,s2649,s822,s1699,s2936,s1985,s1866,s2937,s1947,s2746,s118,s1109,s926,s64,s66,s1771,s21,s2742,s292,s250,s2933,s924,s126,s1745,s120,s319,s2925,s1090]) ).
cnf(s2939,plain,
( spl0_126
| ~ spl0_94
| spl0_9
| ~ spl0_57
| ~ spl0_19
| ~ spl0_25
| ~ spl0_6 ),
inference(rat,[],[s1139,s2456,s2357,s2604,s2938,s257,s2348,s21,s2742,s292,s250,s2933,s924,s126,s354,s1745,s120,s186,s2925]) ).
cnf(s2940,plain,
( ~ spl0_57
| ~ spl0_68
| ~ spl0_19
| ~ spl0_25
| ~ spl0_6 ),
inference(rat,[],[s2746,s1325,s2600,s2939,s2610,s64,s66,s1771,s250,s2933,s924,s1109,s2932,s1745,s126,s120,s1090,s319,s2925]) ).
cnf(s2941,plain,
( ~ spl0_9
| spl0_57
| ~ spl0_19
| ~ spl0_6 ),
inference(rat,[],[s1310,s2759,s1397,s2724,s1699,s1147,s1148,s2265,s1004,s880,s106,s2898,s14,s938,s60,s1186,s434,s2925,s1090,s319]) ).
cnf(s2942,plain,
( spl0_57
| ~ spl0_19
| ~ spl0_6 ),
inference(rat,[],[s822,s21,s1985,s830,s1699,s2742,s1197,s2002,s1148,s292,s210,s274,s2391,s1470,s871,s197,s420,s1112,s73,s114,s928,s937,s1963,s2941,s1186,s434,s938,s118,s319,s1038,s2925]) ).
cnf(s2943,plain,
( ~ spl0_9
| spl0_41
| spl0_61
| ~ spl0_110
| ~ spl0_25 ),
inference(rat,[],[s2067,s96,s27,s43,s2448,s42,s14,s120]) ).
cnf(s2944,plain,
( spl0_134
| ~ spl0_253
| ~ spl0_19
| ~ spl0_25
| ~ spl0_6 ),
inference(rat,[],[s2107,s2593,s2656,s1805,s2636,s2039,s1870,s1664,s2935,s1040,s2934,s125,s99,s2573,s2067,s27,s43,s1110,s1324,s1139,s1594,s1137,s2594,s1985,s1866,s1166,s2937,s1947,s2746,s2709,s18,s126,s64,s66,s1771,s2348,s21,s2742,s354,s1109,s926,s2933,s924,s2943,s292,s2379,s2278,s2276,s2940,s118,s257,s1745,s120,s2942,s848,s1090,s319,s2925,s186]) ).
cnf(s2945,plain,
( ~ spl0_253
| ~ spl0_19
| ~ spl0_25
| ~ spl0_6 ),
inference(rat,[],[s1139,s2456,s2357,s2604,s2944,s848,s257,s2348,s21,s2742,s292,s2379,s2278,s2276,s2940,s118,s354,s1745,s2942,s120,s186]) ).
cnf(s2946,plain,
( spl0_134
| spl0_253
| ~ spl0_20
| spl0_9
| ~ spl0_29
| ~ spl0_64
| ~ spl0_57
| spl0_26
| ~ spl0_25 ),
inference(rat,[],[s2573,s27,s123,s1110,s1040,s1324,s2646,s830,s2810,s822,s2649,s1985,s1866,s2600,s2009,s1947,s2746,s120,s126,s1109,s1699,s319,s2925,s1090]) ).
cnf(s2947,plain,
( ~ spl0_19
| ~ spl0_25
| ~ spl0_6 ),
inference(rat,[],[s1139,s2456,s2357,s2604,s1325,s2946,s2945,s2933,s924,s2943,s2348,s21,s64,s2742,s66,s292,s1771,s2379,s2278,s2276,s354,s2940,s1745,s257,s2942,s118,s120,s2925,s319,s186]) ).
cnf(s2948,plain,
( ~ spl0_57
| ~ spl0_32
| ~ spl0_9
| ~ spl0_25 ),
inference(rat,[],[s123,s74,s126,s120]) ).
cnf(s2949,plain,
( spl0_134
| ~ spl0_253
| spl0_57
| ~ spl0_9
| ~ spl0_38 ),
inference(rat,[],[s1475,s2023,s2024,s259,s1426,s1312,s1151,s1968,s14,s2827,s421,s1148,s1186,s434,s350,s214,s2925,s186,s319]) ).
cnf(s2950,plain,
( ~ spl0_134
| ~ spl0_9
| ~ spl0_18
| ~ spl0_25 ),
inference(rat,[],[s2456,s2114,s2604,s1295,s120,s14]) ).
cnf(s2951,plain,
( ~ spl0_9
| ~ spl0_38
| ~ spl0_18
| spl0_19
| ~ spl0_25 ),
inference(rat,[],[s1475,s2023,s2024,s259,s1426,s1312,s1003,s1707,s2949,s1968,s266,s2950,s1186,s434,s2948,s2573,s21,s46,s27,s42,s14,s120,s2925,s186,s319]) ).
cnf(s2952,plain,
( spl0_134
| ~ spl0_253
| ~ spl0_132
| ~ spl0_301
| ~ spl0_200 ),
inference(rat,[],[s2594,s1426,s1166,s2937,s2746,s848,s1090]) ).
cnf(s2953,plain,
( ~ spl0_253
| ~ spl0_150
| ~ spl0_110
| ~ spl0_132
| ~ spl0_301
| ~ spl0_200
| ~ spl0_25 ),
inference(rat,[],[s1139,s2456,s2357,s2604,s2952,s848,s120]) ).
cnf(s2954,plain,
( ~ spl0_57
| ~ spl0_132
| ~ spl0_20
| spl0_9
| ~ spl0_25 ),
inference(rat,[],[s1139,s2456,s2357,s2604,s1325,s2946,s2953,s2348,s21,s64,s2742,s66,s292,s1771,s354,s250,s1745,s126,s257,s120,s1109,s926,s50,s319,s186,s2925]) ).
cnf(s2955,plain,
( ~ spl0_38
| ~ spl0_25
| ~ spl0_18
| spl0_19 ),
inference(rat,[],[s2152,s2742,s2659,s21,s1969,s822,s1416,s1985,s2114,s830,s1699,s1197,s2002,s1148,s210,s274,s197,s420,s1112,s2827,s1186,s937,s214,s434,s2954,s259,s50,s928,s935,s2951,s1038,s2925,s319]) ).
cnf(s2956,plain,
( ~ spl0_25
| ~ spl0_6 ),
inference(rat,[],[s2955,s2748,s2747,s39,s2947]) ).
cnf(s2957,plain,
( spl0_134
| ~ spl0_253
| ~ spl0_9
| ~ spl0_19
| ~ spl0_6 ),
inference(rat,[],[s2755,s2041,s1941,s1805,s2636,s2039,s1870,s1664,s2930,s1510,s1782,s1320,s1688,s1401,s2812,s1312,s1866,s1694,s1158,s2522,s118,s2030,s871,s2928,s2013,s938,s2574,s21,s49,s2898,s25,s2956,s64,s65,s2751,s74,s126,s2448,s14,s257,s2942,s1090,s319,s2925,s1038,s996]) ).
cnf(s2958,plain,
( ~ spl0_253
| ~ spl0_9
| ~ spl0_19
| ~ spl0_6 ),
inference(rat,[],[s1308,s353,s2344,s2348,s2321,s1139,s2453,s2759,s2757,s1694,s1447,s1195,s2032,s2910,s1316,s2357,s1744,s2957,s938,s118,s2030,s871,s880,s2928,s61,s21,s49,s2898,s25,s2956,s64,s65,s2751,s74,s126,s2448,s14,s257,s2942,s2925,s186,s996]) ).
cnf(s2959,plain,
( spl0_134
| spl0_253
| ~ spl0_473
| spl0_126
| ~ spl0_9
| ~ spl0_6 ),
inference(rat,[],[s1397,s1312,s2724,s2009,s2522,s14,s1699,s1090,s319,s2925,s1038]) ).
cnf(s2960,plain,
( ~ spl0_9
| ~ spl0_19
| ~ spl0_6 ),
inference(rat,[],[s1310,s2759,s2609,s1397,s2724,s1295,s2959,s1699,s2958,s2013,s2928,s2898,s14,s938,s2925,s1090,s319]) ).
cnf(s2961,plain,
( spl0_134
| ~ spl0_253
| spl0_9
| ~ spl0_57
| spl0_26
| ~ spl0_240
| spl0_25 ),
inference(rat,[],[s1139,s1324,s1137,s1110,s2348,s2744,s21,s2063,s2742,s292,s354,s1985,s250,s1950,s2150,s1367,s2937,s2746,s1947,s1413,s40,s25,s257,s126,s10,s1109,s926,s848,s186,s1038,s1090,s2925]) ).
cnf(s2962,plain,
( ~ spl0_263
| ~ spl0_134
| ~ spl0_253 ),
inference(rat,[],[s1194,s1166]) ).
cnf(s2963,plain,
( ~ spl0_253
| spl0_9
| ~ spl0_57
| spl0_26
| ~ spl0_240
| spl0_25 ),
inference(rat,[],[s1782,s1509,s1311,s151,s1521,s2574,s2744,s21,s2063,s2742,s292,s250,s1950,s2759,s2609,s2034,s1525,s1195,s2962,s2961,s40,s25,s257,s126,s10,s1109,s1923,s2925]) ).
cnf(s2964,plain,
( spl0_134
| spl0_9
| ~ spl0_57
| spl0_26
| ~ spl0_240
| spl0_25 ),
inference(rat,[],[s1324,s830,s1110,s822,s2744,s21,s2063,s2742,s292,s1985,s250,s1950,s2150,s1367,s2600,s2746,s2009,s1947,s1413,s40,s25,s257,s126,s10,s1109,s1699,s2963,s1038,s1090,s319,s2925]) ).
cnf(s2965,plain,
( spl0_20
| ~ spl0_134
| ~ spl0_13
| ~ spl0_57
| ~ spl0_19 ),
inference(rat,[],[s64,s2910,s65,s2032,s2751,s142,s1388,s1113,s151,s1110,s140,s2933,s871,s1316,s1744,s126,s996,s2925,s186]) ).
cnf(s2966,plain,
( ~ spl0_19
| ~ spl0_6 ),
inference(rat,[],[s1782,s1781,s1311,s147,s2382,s2034,s151,s1265,s2574,s2910,s2649,s2744,s2627,s21,s64,s2063,s2742,s66,s292,s1771,s250,s1950,s2965,s1316,s1744,s2964,s1699,s2963,s924,s1109,s10,s2960,s126,s257,s2942,s118,s938,s40,s25,s2956,s1923,s319,s186,s2925]) ).
cnf(s2967,plain,
( ~ spl0_467
| ~ spl0_72
| ~ spl0_57
| spl0_424 ),
inference(rat,[],[s1670,s1860,s2041,s250,s126,s2925]) ).
cnf(s2968,plain,
( ~ spl0_263
| spl0_467
| spl0_347
| ~ spl0_391
| ~ spl0_64
| ~ spl0_136
| ~ spl0_57
| spl0_134
| ~ spl0_9
| spl0_424 ),
inference(rat,[],[s1750,s1672,s1688,s1703,s1665,s1463,s1664,s1867,s1531,s1870,s2811,s1765,s1312,s1866,s1166,s14,s257,s126,s2633,s1038,s2925,s319,s2510]) ).
cnf(s2969,plain,
( ~ spl0_57
| spl0_134
| ~ spl0_9
| ~ spl0_6 ),
inference(rat,[],[s1692,s2009,s2968,s2967,s1785,s1554,s915,s64,s2023,s1158,s2928,s871,s65,s250,s2751,s446,s2866,s74,s258,s126,s2934,s2747,s119,s2709,s1595,s2966,s2956,s319,s2925,s186,s996]) ).
cnf(s2970,plain,
( spl0_134
| ~ spl0_9
| ~ spl0_6 ),
inference(rat,[],[s1475,s2023,s2024,s259,s1426,s1312,s2009,s1003,s1186,s2949,s1968,s434,s2969,s2748,s39,s2966,s14,s2925,s186,s319]) ).
cnf(s2971,plain,
( ~ spl0_57
| ~ spl0_9
| ~ spl0_6 ),
inference(rat,[],[s2649,s1699,s1374,s2118,s2382,s1505,s2910,s64,s65,s1696,s1316,s2751,s446,s1744,s74,s258,s126,s2747,s119,s2709,s1595,s2956,s880,s259,s1441,s1295,s14,s1325,s2970,s2748,s39,s2966,s319,s2925,s1090,s186,s996]) ).
cnf(s2972,plain,
( ~ spl0_9
| ~ spl0_6 ),
inference(rat,[],[s2266,s1447,s1312,s1397,s1699,s1148,s2265,s1004,s1186,s106,s60,s434,s2971,s880,s259,s1441,s2724,s1295,s1325,s2970,s14,s2748,s39,s2966,s2925,s319,s1090]) ).
cnf(s2973,plain,
( ~ spl0_57
| ~ spl0_6 ),
inference(rat,[],[s446,s250,s258,s126,s119,s2709,s1595,s2956,s935,s2972,s2966,s2925]) ).
cnf(s2974,plain,
~ spl0_6,
inference(rat,[],[s827,s1197,s260,s210,s274,s197,s420,s937,s434,s2973,s259,s928,s935,s2972,s119,s2709,s2748,s1595,s39,s2966,s2956,s1038,s2925]) ).
cnf(s2975,plain,
spl0_5,
inference(rat,[],[s3,s2974]) ).
cnf(s2976,plain,
spl0_399,
inference(rat,[],[s1882,s2975]) ).
cnf(s2977,plain,
( spl0_20
| ~ spl0_57 ),
inference(rat,[],[s1388,s1110,s2933,s140,s935,s126,s924,s1627,s258,s119,s5,s2919,s2925,s2976,s2975]) ).
cnf(s2978,plain,
~ spl0_57,
inference(rat,[],[s2574,s21,s25,s2742,s2876,s292,s147,s938,s250,s1950,s2696,s50,s2977,s145,s114,s1627,s258,s119,s1597,s5,s2919,s126,s257,s2975,s2976]) ).
cnf(s2980,plain,
spl0_108,
inference(rat,[],[s434,s2925,s2978]) ).
cnf(s2981,plain,
spl0_118,
inference(rat,[],[s214,s2978]) ).
cnf(s2983,plain,
~ spl0_17,
inference(rat,[],[s153,s2978]) ).
cnf(s2984,plain,
spl0_56,
inference(rat,[],[s60,s2925,s2978]) ).
cnf(s2986,plain,
~ spl0_126,
inference(rat,[],[s2827,s2980]) ).
cnf(s2987,plain,
spl0_154,
inference(rat,[],[s350,s2925,s2981]) ).
cnf(s2988,plain,
( ~ spl0_75
| spl0_12
| ~ spl0_9 ),
inference(rat,[],[s2746,s1258,s1976,s1626,s1147,s2976,s2925,s2986,s1090]) ).
cnf(s2989,plain,
( spl0_20
| spl0_75 ),
inference(rat,[],[s2265,s106,s880,s421,s2984,s2925,s2978,s2987]) ).
cnf(s2990,plain,
( spl0_12
| ~ spl0_9 ),
inference(rat,[],[s2877,s29,s2898,s50,s2989,s2988,s2975]) ).
cnf(s2991,plain,
~ spl0_9,
inference(rat,[],[s2990,s14]) ).
cnf(s2994,plain,
spl0_200,
inference(rat,[],[s1109,s2925,s2991]) ).
cnf(s2995,plain,
spl0_93,
inference(rat,[],[s928,s2925,s2991]) ).
cnf(s2997,plain,
spl0_13,
inference(rat,[],[s924,s2925,s2991]) ).
cnf(s2998,plain,
~ spl0_8,
inference(rat,[],[s5,s2975,s2991]) ).
cnf(s2999,plain,
spl0_69,
inference(rat,[],[s1963,s2978,s2925,s2991]) ).
cnf(s3000,plain,
spl0_59,
inference(rat,[],[s937,s2978,s2925,s2991]) ).
cnf(s3002,plain,
spl0_120,
inference(rat,[],[s220,s2991,s2980,s2978,s2925,s2997]) ).
cnf(s3004,plain,
~ spl0_12,
inference(rat,[],[s149,s2983,s2997]) ).
cnf(s3006,plain,
~ spl0_16,
inference(rat,[],[s119,s2998]) ).
cnf(s3011,plain,
spl0_216,
inference(rat,[],[s1040,s2999]) ).
cnf(s3017,plain,
~ spl0_71,
inference(rat,[],[s420,s3000]) ).
cnf(s3020,plain,
spl0_109,
inference(rat,[],[s197,s2995,s3017,s2980,s3000]) ).
cnf(s3021,plain,
spl0_121,
inference(rat,[],[s293,s2978,s3002]) ).
cnf(s3026,plain,
spl0_116,
inference(rat,[],[s210,s3020]) ).
cnf(s3028,plain,
spl0_20,
inference(rat,[],[s1128,s3021]) ).
cnf(s3036,plain,
~ spl0_240,
inference(rat,[],[s1198,s2998,s3006,s186,s3026]) ).
cnf(s3037,plain,
~ spl0_26,
inference(rat,[],[s50,s3028]) ).
cnf(s3047,plain,
~ spl0_19,
inference(rat,[],[s938,s3036]) ).
cnf(s3056,plain,
spl0_24,
inference(rat,[],[s2877,s2975,s3047]) ).
cnf(s3057,plain,
~ spl0_25,
inference(rat,[],[s2876,s3004,s2998,s2975,s3047]) ).
cnf(s3066,plain,
~ spl0_61,
inference(rat,[],[s1366,s3004,s996,s2978,s2994,s3056]) ).
cnf(s3068,plain,
~ spl0_72,
inference(rat,[],[s1160,s3011,s3037,s3056]) ).
cnf(s3070,plain,
spl0_44,
inference(rat,[],[s40,s3057]) ).
cnf(s3071,plain,
spl0_34,
inference(rat,[],[s25,s3057]) ).
cnf(s3076,plain,
~ spl0_21,
inference(rat,[],[s102,s2978,s3066]) ).
cnf(s3083,plain,
~ spl0_41,
inference(rat,[],[s292,s3066,s3068]) ).
cnf(s3087,plain,
spl0_42,
inference(rat,[],[s2063,s3070,s3083,s3071]) ).
cnf(s3091,plain,
$false,
inference(rat,[],[s2627,s3087,s3076]) ).
thf(f33543,plain,
$false,
inference(avatar_sat_refutation,[],[s3091]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA136^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n011.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 19:03:01 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.27 Running higher-order theorem proving
% 0.25/0.29 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
% 0.45/0.48 % (513290)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.45/0.48 % (513295)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3548260660:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.45/0.48 % (513301)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.45/0.48 % (513296)lrs+10_16_si=on:nwc=1.5:random_seed=1072688766:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.45/0.48 % (513301)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
% 0.45/0.48 % (513295)Instruction limit reached!
% 0.45/0.48 % (513295)------------------------------
% 0.45/0.48 % (513295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.48 % (513295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.48 % (513295)CaDiCaL version: 2.1.3
% 0.45/0.48 % (513295)Termination reason: Instruction limit
% 0.45/0.48 % (513295)Termination phase: Saturation
% 0.45/0.48 % (513295)Time elapsed: 0.032 s
% 0.45/0.48 % (513295)Peak memory usage: 12 MB
% 0.45/0.48 % (513295)Instructions burned: 88 (million)
% 0.45/0.48 % (513297)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3143791666:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.45/0.48 % (513299)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1945191133:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.45/0.48 % (513298)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=795090161: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)
% 0.45/0.48 % (513300)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1506268249:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.45/0.48 % (513301)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=18321681:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.45/0.48 % (513297)Instruction limit reached!
% 0.45/0.48 % (513297)------------------------------
% 0.45/0.48 % (513297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.48 % (513297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.48 % (513297)CaDiCaL version: 2.1.3
% 0.45/0.48 % (513297)Termination reason: Instruction limit
% 0.45/0.48 % (513297)Termination phase: Saturation
% 0.45/0.48 % (513297)Time elapsed: 0.005 s
% 0.45/0.48 % (513297)Peak memory usage: 12 MB
% 0.45/0.48 % (513297)Instructions burned: 5 (million)
% 0.45/0.48 % (513296)Instruction limit reached!
% 0.45/0.48 % (513296)------------------------------
% 0.45/0.48 % (513296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.48 % (513296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.48 % (513296)CaDiCaL version: 2.1.3
% 0.45/0.48 % (513296)Termination reason: Instruction limit
% 0.45/0.48 % (513296)Termination phase: Saturation
% 0.45/0.48 % (513296)Time elapsed: 0.016 s
% 0.45/0.48 % (513296)Peak memory usage: 12 MB
% 0.45/0.48 % (513296)Instructions burned: 19 (million)
% 0.45/0.48 % (513304)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1677969774:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.45/0.48 % (513304)Instruction limit reached!
% 0.45/0.48 % (513304)------------------------------
% 0.45/0.48 % (513304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.48 % (513304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.48 % (513304)CaDiCaL version: 2.1.3
% 0.45/0.48 % (513304)Termination reason: Instruction limit
% 0.45/0.48 % (513304)Termination phase: Saturation
% 0.45/0.48 % (513304)Time elapsed: 0.001 s
% 0.45/0.48 % (513304)Peak memory usage: 12 MB
% 0.45/0.48 % (513304)Instructions burned: 2 (million)
% 0.45/0.48 % (513299)Instruction limit reached!
% 0.45/0.48 % (513299)------------------------------
% 0.45/0.48 % (513299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.48 % (513299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.52 % (513299)CaDiCaL version: 2.1.3
% 1.07/0.52 % (513299)Termination reason: Instruction limit
% 1.07/0.52 % (513299)Termination phase: Saturation
% 1.07/0.52 % (513299)Time elapsed: 0.019 s
% 1.07/0.52 % (513299)Peak memory usage: 12 MB
% 1.07/0.52 % (513299)Instructions burned: 25 (million)
% 1.07/0.52 % (513314)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.07/0.52 % (513314)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.07/0.52 % (513310)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=863986146:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.07/0.52 % (513313)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3155191506:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.07/0.52 % (513311)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.07/0.52 % (513314)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3562238162:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.07/0.52 % (513310)Instruction limit reached!
% 1.07/0.52 % (513310)------------------------------
% 1.07/0.52 % (513310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.52 % (513310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.52 % (513310)CaDiCaL version: 2.1.3
% 1.07/0.52 % (513310)Termination reason: Instruction limit
% 1.07/0.52 % (513310)Termination phase: Saturation
% 1.07/0.52 % (513310)Time elapsed: 0.006 s
% 1.07/0.52 % (513310)Peak memory usage: 12 MB
% 1.07/0.52 % (513310)Instructions burned: 6 (million)
% 1.07/0.52 % (513311)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2656440731:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.07/0.52 % (513313)Instruction limit reached!
% 1.07/0.52 % (513313)------------------------------
% 1.07/0.52 % (513313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.52 % (513313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.52 % (513313)CaDiCaL version: 2.1.3
% 1.07/0.52 % (513313)Termination reason: Instruction limit
% 1.07/0.52 % (513313)Termination phase: Saturation
% 1.07/0.52 % (513313)Time elapsed: 0.006 s
% 1.07/0.52 % (513313)Peak memory usage: 12 MB
% 1.07/0.52 % (513313)Instructions burned: 12 (million)
% 1.07/0.52 % (513311)Instruction limit reached!
% 1.07/0.52 % (513311)------------------------------
% 1.07/0.52 % (513311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.52 % (513311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.52 % (513311)CaDiCaL version: 2.1.3
% 1.07/0.52 % (513311)Termination reason: Instruction limit
% 1.07/0.52 % (513311)Termination phase: Saturation
% 1.07/0.52 % (513311)Time elapsed: 0.007 s
% 1.07/0.52 % (513311)Peak memory usage: 12 MB
% 1.07/0.52 % (513311)Instructions burned: 7 (million)
% 1.07/0.52 % (513314)Instruction limit reached!
% 1.07/0.52 % (513314)------------------------------
% 1.07/0.52 % (513314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.52 % (513314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.52 % (513314)CaDiCaL version: 2.1.3
% 1.07/0.52 % (513314)Termination reason: Instruction limit
% 1.07/0.52 % (513314)Termination phase: Saturation
% 1.07/0.52 % (513314)Time elapsed: 0.014 s
% 1.07/0.52 % (513314)Peak memory usage: 12 MB
% 1.07/0.52 % (513314)Instructions burned: 29 (million)
% 1.07/0.52 % (513300)Instruction limit reached!
% 1.07/0.52 % (513300)------------------------------
% 1.07/0.52 % (513300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.52 % (513300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.52 % (513300)CaDiCaL version: 2.1.3
% 1.07/0.52 % (513300)Termination reason: Instruction limit
% 1.07/0.52 % (513300)Termination phase: Saturation
% 1.07/0.52 % (513300)Time elapsed: 0.062 s
% 1.07/0.52 % (513300)Peak memory usage: 12 MB
% 1.07/0.52 % (513300)Instructions burned: 75 (million)
% 1.07/0.56 % (513320)lrs+10_1_si=on:cs=on:random_seed=698185576:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.07/0.56 % (513320)Instruction limit reached!
% 1.07/0.56 % (513320)------------------------------
% 1.07/0.56 % (513320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (513320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (513320)CaDiCaL version: 2.1.3
% 1.07/0.56 % (513320)Termination reason: Instruction limit
% 1.07/0.56 % (513320)Termination phase: Saturation
% 1.07/0.56 % (513320)Time elapsed: 0.004 s
% 1.07/0.56 % (513320)Peak memory usage: 12 MB
% 1.07/0.56 % (513320)Instructions burned: 9 (million)
% 1.07/0.56 % (513319)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=2923560298:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.07/0.56 % (513321)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.07/0.56 % (513322)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3001731161:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.07/0.56 % (513322)Refutation not found, incomplete strategy
% 1.07/0.56 % (513322)------------------------------
% 1.07/0.56 % (513322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (513322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (513322)CaDiCaL version: 2.1.3
% 1.07/0.56 % (513322)Termination reason: Refutation not found, incomplete strategy
% 1.07/0.56 % (513322)Time elapsed: 0.001 s
% 1.07/0.56 % (513322)Peak memory usage: 11 MB
% 1.07/0.56 % (513322)------------------------------
% 1.07/0.56 % (513322)------------------------------
% 1.07/0.56 % (513324)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2722653299:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.07/0.56 % (513321)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=2288779465:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.07/0.56 % (513324)Refutation not found, incomplete strategy
% 1.07/0.56 % (513324)------------------------------
% 1.07/0.56 % (513324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (513324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (513324)CaDiCaL version: 2.1.3
% 1.07/0.56 % (513324)Termination reason: Refutation not found, incomplete strategy
% 1.07/0.56 % (513324)Time elapsed: 0.0000 s
% 1.07/0.56 % (513324)Peak memory usage: 11 MB
% 1.07/0.56 % (513324)------------------------------
% 1.07/0.56 % (513324)------------------------------
% 1.07/0.56 % (513321)Instruction limit reached!
% 1.07/0.56 % (513321)------------------------------
% 1.07/0.56 % (513321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (513321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (513321)CaDiCaL version: 2.1.3
% 1.07/0.56 % (513321)Termination reason: Instruction limit
% 1.07/0.56 % (513321)Termination phase: Clausification
% 1.07/0.56 % (513321)Time elapsed: 0.002 s
% 1.07/0.56 % (513321)Peak memory usage: 10 MB
% 1.07/0.56 % (513321)Instructions burned: 2 (million)
% 1.07/0.56 % (513325)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2746428788:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.07/0.56 % (513325)Refutation not found, incomplete strategy
% 1.07/0.56 % (513325)------------------------------
% 1.07/0.56 % (513325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (513325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (513325)CaDiCaL version: 2.1.3
% 1.07/0.56 % (513325)Termination reason: Refutation not found, incomplete strategy
% 1.07/0.56 % (513325)Time elapsed: 0.001 s
% 1.07/0.56 % (513325)Peak memory usage: 11 MB
% 1.07/0.56 % (513325)------------------------------
% 1.07/0.56 % (513325)------------------------------
% 1.07/0.56 % (513331)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1399066512:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.07/0.56 % (513331)Refutation not found, incomplete strategy
% 1.79/0.61 % (513331)------------------------------
% 1.79/0.61 % (513331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.61 % (513331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.61 % (513331)CaDiCaL version: 2.1.3
% 1.79/0.61 % (513331)Termination reason: Refutation not found, incomplete strategy
% 1.79/0.61 % (513331)Time elapsed: 0.0000 s
% 1.79/0.61 % (513331)Peak memory usage: 11 MB
% 1.79/0.61 % (513331)------------------------------
% 1.79/0.61 % (513331)------------------------------
% 1.79/0.61 % (513301)Instruction limit reached!
% 1.79/0.61 % (513301)------------------------------
% 1.79/0.61 % (513301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.61 % (513301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.61 % (513301)CaDiCaL version: 2.1.3
% 1.79/0.61 % (513301)Termination reason: Instruction limit
% 1.79/0.61 % (513301)Termination phase: Saturation
% 1.79/0.61 % (513301)Time elapsed: 0.107 s
% 1.79/0.61 % (513301)Peak memory usage: 12 MB
% 1.79/0.61 % (513301)Instructions burned: 157 (million)
% 1.79/0.61 % (513328)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1207774710:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.79/0.61 % (513332)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1370878113:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.79/0.61 % (513334)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2888038549: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)
% 1.79/0.61 % (513334)Refutation not found, incomplete strategy
% 1.79/0.61 % (513334)------------------------------
% 1.79/0.61 % (513334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.61 % (513334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.61 % (513334)CaDiCaL version: 2.1.3
% 1.79/0.61 % (513334)Termination reason: Refutation not found, incomplete strategy
% 1.79/0.61 % (513334)Time elapsed: 0.0000 s
% 1.79/0.61 % (513334)Peak memory usage: 11 MB
% 1.79/0.61 % (513334)------------------------------
% 1.79/0.61 % (513334)------------------------------
% 1.79/0.61 % (513328)Instruction limit reached!
% 1.79/0.61 % (513328)------------------------------
% 1.79/0.61 % (513328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.61 % (513328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.61 % (513328)CaDiCaL version: 2.1.3
% 1.79/0.61 % (513328)Termination reason: Instruction limit
% 1.79/0.61 % (513328)Termination phase: Saturation
% 1.79/0.61 % (513328)Time elapsed: 0.015 s
% 1.79/0.61 % (513328)Peak memory usage: 12 MB
% 1.79/0.61 % (513328)Instructions burned: 14 (million)
% 1.79/0.61 % (513332)Instruction limit reached!
% 1.79/0.61 % (513332)------------------------------
% 1.79/0.61 % (513332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.61 % (513332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.61 % (513332)CaDiCaL version: 2.1.3
% 1.79/0.61 % (513332)Termination reason: Instruction limit
% 1.79/0.61 % (513332)Termination phase: Saturation
% 1.79/0.61 % (513332)Time elapsed: 0.012 s
% 1.79/0.61 % (513332)Peak memory usage: 12 MB
% 1.79/0.61 % (513332)Instructions burned: 14 (million)
% 1.79/0.61 % (513336)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=909368013:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.79/0.61 % (513337)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1271218361:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.79/0.61 % (513341)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3345557354:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.79/0.61 % (513319)Instruction limit reached!
% 1.79/0.61 % (513319)------------------------------
% 1.79/0.61 % (513319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.79/0.61 % (513319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.79/0.61 % (513319)CaDiCaL version: 2.1.3
% 1.79/0.61 % (513319)Termination reason: Instruction limit
% 1.79/0.61 % (513319)Termination phase: Saturation
% 2.30/0.71 % (513319)Time elapsed: 0.069 s
% 2.30/0.71 % (513319)Peak memory usage: 12 MB
% 2.30/0.71 % (513319)Instructions burned: 86 (million)
% 2.30/0.71 % (513342)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.30/0.71 % (513342)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.30/0.71 % (513337)Instruction limit reached!
% 2.30/0.71 % (513337)------------------------------
% 2.30/0.71 % (513337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.71 % (513337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.71 % (513337)CaDiCaL version: 2.1.3
% 2.30/0.71 % (513337)Termination reason: Instruction limit
% 2.30/0.71 % (513337)Termination phase: Saturation
% 2.30/0.71 % (513337)Time elapsed: 0.018 s
% 2.30/0.71 % (513337)Peak memory usage: 12 MB
% 2.30/0.71 % (513337)Instructions burned: 23 (million)
% 2.30/0.71 % (513343)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.30/0.71 % (513342)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=439215595:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.30/0.71 % (513336)Instruction limit reached!
% 2.30/0.71 % (513336)------------------------------
% 2.30/0.71 % (513336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.71 % (513336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.71 % (513336)CaDiCaL version: 2.1.3
% 2.30/0.71 % (513336)Termination reason: Instruction limit
% 2.30/0.71 % (513336)Termination phase: Saturation
% 2.30/0.71 % (513336)Time elapsed: 0.023 s
% 2.30/0.71 % (513336)Peak memory usage: 12 MB
% 2.30/0.71 % (513336)Instructions burned: 26 (million)
% 2.30/0.71 % (513343)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=2163891189:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.30/0.71 % (513341)Instruction limit reached!
% 2.30/0.71 % (513341)------------------------------
% 2.30/0.71 % (513341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.71 % (513341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.71 % (513341)CaDiCaL version: 2.1.3
% 2.30/0.71 % (513341)Termination reason: Instruction limit
% 2.30/0.71 % (513341)Termination phase: Saturation
% 2.30/0.71 % (513341)Time elapsed: 0.024 s
% 2.30/0.71 % (513341)Peak memory usage: 12 MB
% 2.30/0.71 % (513341)Instructions burned: 61 (million)
% 2.30/0.71 % (513343)Instruction limit reached!
% 2.30/0.71 % (513343)------------------------------
% 2.30/0.71 % (513343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.71 % (513343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.71 % (513343)CaDiCaL version: 2.1.3
% 2.30/0.71 % (513343)Termination reason: Instruction limit
% 2.30/0.71 % (513343)Termination phase: Saturation
% 2.30/0.71 % (513343)Time elapsed: 0.010 s
% 2.30/0.71 % (513343)Peak memory usage: 12 MB
% 2.30/0.71 % (513343)Instructions burned: 10 (million)
% 2.30/0.71 % (513347)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=1931458082:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.30/0.71 % (513342)Instruction limit reached!
% 2.30/0.71 % (513342)------------------------------
% 2.30/0.71 % (513342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.71 % (513342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.71 % (513342)CaDiCaL version: 2.1.3
% 2.30/0.71 % (513342)Termination reason: Instruction limit
% 2.30/0.71 % (513342)Termination phase: Saturation
% 2.30/0.71 % (513342)Time elapsed: 0.015 s
% 2.30/0.71 % (513342)Peak memory usage: 12 MB
% 2.30/0.71 % (513342)Instructions burned: 15 (million)
% 2.30/0.71 % (513350)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1636077617:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.30/0.71 % (513348)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1543637433:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.47/0.80 % (513350)Instruction limit reached!
% 2.47/0.80 % (513350)------------------------------
% 2.47/0.80 % (513350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.80 % (513350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.80 % (513350)CaDiCaL version: 2.1.3
% 2.47/0.80 % (513350)Termination reason: Instruction limit
% 2.47/0.80 % (513350)Termination phase: Saturation
% 2.47/0.80 % (513350)Time elapsed: 0.010 s
% 2.47/0.80 % (513350)Peak memory usage: 12 MB
% 2.47/0.80 % (513350)Instructions burned: 25 (million)
% 2.47/0.80 % (513348)Instruction limit reached!
% 2.47/0.80 % (513348)------------------------------
% 2.47/0.80 % (513348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.80 % (513348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.80 % (513348)CaDiCaL version: 2.1.3
% 2.47/0.80 % (513348)Termination reason: Instruction limit
% 2.47/0.80 % (513348)Termination phase: Saturation
% 2.47/0.80 % (513348)Time elapsed: 0.008 s
% 2.47/0.80 % (513348)Peak memory usage: 12 MB
% 2.47/0.80 % (513348)Instructions burned: 7 (million)
% 2.47/0.80 % (513352)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=825437752:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.47/0.80 % (513347)Instruction limit reached!
% 2.47/0.80 % (513347)------------------------------
% 2.47/0.80 % (513347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.80 % (513347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.80 % (513347)CaDiCaL version: 2.1.3
% 2.47/0.80 % (513347)Termination reason: Instruction limit
% 2.47/0.80 % (513347)Termination phase: Saturation
% 2.47/0.80 % (513347)Time elapsed: 0.028 s
% 2.47/0.80 % (513347)Peak memory usage: 12 MB
% 2.47/0.80 % (513347)Instructions burned: 32 (million)
% 2.47/0.80 % (513354)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1713335690:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.47/0.80 % (513352)Instruction limit reached!
% 2.47/0.80 % (513352)------------------------------
% 2.47/0.80 % (513352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.80 % (513352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.80 % (513352)CaDiCaL version: 2.1.3
% 2.47/0.80 % (513352)Termination reason: Instruction limit
% 2.47/0.80 % (513352)Termination phase: Saturation
% 2.47/0.80 % (513352)Time elapsed: 0.019 s
% 2.47/0.80 % (513352)Peak memory usage: 12 MB
% 2.47/0.80 % (513352)Instructions burned: 21 (million)
% 2.47/0.80 % (513355)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=930297617:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.47/0.80 % (513359)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1140206977:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.47/0.80 % (513361)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.47/0.80 % (513361)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1800795300:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.47/0.80 % (513358)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3187372606:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.47/0.80 % (513358)Refutation not found, incomplete strategy
% 2.47/0.80 % (513358)------------------------------
% 2.47/0.80 % (513358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.80 % (513358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.80 % (513358)CaDiCaL version: 2.1.3
% 2.47/0.80 % (513358)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.80 % (513358)Time elapsed: 0.001 s
% 2.47/0.80 % (513358)Peak memory usage: 11 MB
% 2.47/0.80 % (513358)------------------------------
% 2.47/0.80 % (513358)------------------------------
% 2.47/0.80 % (513361)Instruction limit reached!
% 2.47/0.80 % (513361)------------------------------
% 2.47/0.80 % (513361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.80 % (513361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.93 % (513361)CaDiCaL version: 2.1.3
% 2.73/0.93 % (513361)Termination reason: Instruction limit
% 2.73/0.93 % (513361)Termination phase: Saturation
% 2.73/0.93 % (513361)Time elapsed: 0.007 s
% 2.73/0.93 % (513361)Peak memory usage: 12 MB
% 2.73/0.93 % (513361)Instructions burned: 7 (million)
% 2.73/0.93 % (513364)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=820831496:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.73/0.93 % (513364)Refutation not found, incomplete strategy
% 2.73/0.93 % (513364)------------------------------
% 2.73/0.93 % (513364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.93 % (513364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.93 % (513364)CaDiCaL version: 2.1.3
% 2.73/0.93 % (513364)Termination reason: Refutation not found, incomplete strategy
% 2.73/0.93 % (513364)Time elapsed: 0.001 s
% 2.73/0.93 % (513364)Peak memory usage: 11 MB
% 2.73/0.93 % (513359)Instruction limit reached!
% 2.73/0.93 % (513359)------------------------------
% 2.73/0.93 % (513359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.93 % (513359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.93 % (513359)CaDiCaL version: 2.1.3
% 2.73/0.93 % (513359)Termination reason: Instruction limit
% 2.73/0.93 % (513359)Termination phase: Saturation
% 2.73/0.93 % (513359)Time elapsed: 0.032 s
% 2.73/0.93 % (513359)Peak memory usage: 12 MB
% 2.73/0.93 % (513359)Instructions burned: 42 (million)
% 2.73/0.93 % (513364)------------------------------
% 2.73/0.93 % (513364)------------------------------
% 2.73/0.93 % (513368)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=35152642:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.73/0.93 % (513369)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.73/0.93 % (513369)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=613736088:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.73/0.93 % (513368)Refutation not found, incomplete strategy
% 2.73/0.93 % (513368)------------------------------
% 2.73/0.93 % (513368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.93 % (513368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.93 % (513368)CaDiCaL version: 2.1.3
% 2.73/0.93 % (513368)Termination reason: Refutation not found, incomplete strategy
% 2.73/0.93 % (513368)Time elapsed: 0.005 s
% 2.73/0.93 % (513368)Peak memory usage: 12 MB
% 2.73/0.93 % (513368)------------------------------
% 2.73/0.93 % (513368)------------------------------
% 2.73/0.93 % (513369)Refutation not found, incomplete strategy
% 2.73/0.93 % (513369)------------------------------
% 2.73/0.93 % (513369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.93 % (513369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.93 % (513369)CaDiCaL version: 2.1.3
% 2.73/0.93 % (513369)Termination reason: Refutation not found, incomplete strategy
% 2.73/0.93 % (513369)Time elapsed: 0.014 s
% 2.73/0.93 % (513369)Peak memory usage: 11 MB
% 2.73/0.93 % (513369)Instructions burned: 2 (million)
% 2.73/0.93 % (513369)------------------------------
% 2.73/0.93 % (513369)------------------------------
% 2.73/0.93 % (513355)Instruction limit reached!
% 2.73/0.93 % (513355)------------------------------
% 2.73/0.93 % (513355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.93 % (513355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.93 % (513355)CaDiCaL version: 2.1.3
% 2.73/0.93 % (513355)Termination reason: Instruction limit
% 2.73/0.93 % (513355)Termination phase: Saturation
% 2.73/0.93 % (513355)Time elapsed: 0.099 s
% 2.73/0.93 % (513355)Peak memory usage: 12 MB
% 2.73/0.93 % (513355)Instructions burned: 145 (million)
% 2.73/0.93 % (513371)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2181804314:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.73/0.93 % (513372)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3584112391:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.73/1.01 % (513372)Refutation not found, incomplete strategy
% 2.73/1.01 % (513372)------------------------------
% 2.73/1.01 % (513372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/1.01 % (513372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.01 % (513372)CaDiCaL version: 2.1.3
% 2.73/1.01 % (513372)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.01 % (513372)Time elapsed: 0.003 s
% 2.73/1.01 % (513372)Peak memory usage: 12 MB
% 2.73/1.01 % (513372)Instructions burned: 3 (million)
% 2.73/1.01 % (513372)------------------------------
% 2.73/1.01 % (513372)------------------------------
% 2.73/1.01 % (513298)Instruction limit reached!
% 2.73/1.01 % (513298)------------------------------
% 2.73/1.01 % (513298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/1.01 % (513298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.01 % (513298)CaDiCaL version: 2.1.3
% 2.73/1.01 % (513298)Termination reason: Instruction limit
% 2.73/1.01 % (513298)Termination phase: Saturation
% 2.73/1.01 % (513298)Time elapsed: 0.358 s
% 2.73/1.01 % (513298)Peak memory usage: 13 MB
% 2.73/1.01 % (513298)Instructions burned: 635 (million)
% 2.73/1.01 % (513376)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=2442001496:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.73/1.01 % (513375)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=1174881135:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.73/1.01 % (513371)Instruction limit reached!
% 2.73/1.01 % (513371)------------------------------
% 2.73/1.01 % (513371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/1.01 % (513371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.01 % (513371)CaDiCaL version: 2.1.3
% 2.73/1.01 % (513371)Termination reason: Instruction limit
% 2.73/1.01 % (513371)Termination phase: Saturation
% 2.73/1.01 % (513371)Time elapsed: 0.053 s
% 2.73/1.01 % (513371)Peak memory usage: 12 MB
% 2.73/1.01 % (513371)Instructions burned: 22 (million)
% 2.73/1.01 % (513377)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=3596375029:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.73/1.01 % (513380)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3580703275:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 2.73/1.01 % (513380)Refutation not found, incomplete strategy
% 2.73/1.01 % (513380)------------------------------
% 2.73/1.01 % (513380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/1.01 % (513380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.01 % (513380)CaDiCaL version: 2.1.3
% 2.73/1.01 % (513380)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.01 % (513380)Time elapsed: 0.002 s
% 2.73/1.01 % (513380)Peak memory usage: 11 MB
% 2.73/1.01 % (513380)Instructions burned: 1 (million)
% 2.73/1.01 % (513380)------------------------------
% 2.73/1.01 % (513380)------------------------------
% 2.73/1.01 % (513381)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2142721393:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 2.73/1.01 % (513384)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.73/1.01 % (513384)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=258773989:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 2.73/1.01 % (513381)Instruction limit reached!
% 2.73/1.01 % (513381)------------------------------
% 2.73/1.01 % (513381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/1.01 % (513381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.01 % (513381)CaDiCaL version: 2.1.3
% 2.73/1.01 % (513381)Termination reason: Instruction limit
% 2.73/1.01 % (513381)Termination phase: Saturation
% 2.73/1.11 % (513381)Time elapsed: 0.019 s
% 2.73/1.11 % (513381)Peak memory usage: 12 MB
% 2.73/1.11 % (513381)Instructions burned: 21 (million)
% 2.73/1.11 % (513388)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=529278450:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 2.73/1.11 % (513377)Instruction limit reached!
% 2.73/1.11 % (513377)------------------------------
% 2.73/1.11 % (513377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/1.11 % (513377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.11 % (513377)CaDiCaL version: 2.1.3
% 2.73/1.11 % (513377)Termination reason: Instruction limit
% 2.73/1.11 % (513377)Termination phase: Saturation
% 2.73/1.11 % (513377)Time elapsed: 0.039 s
% 2.73/1.11 % (513377)Peak memory usage: 12 MB
% 2.73/1.11 % (513377)Instructions burned: 45 (million)
% 2.73/1.11 % (513388)Instruction limit reached!
% 2.73/1.11 % (513388)------------------------------
% 2.73/1.11 % (513388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/1.11 % (513388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.11 % (513388)CaDiCaL version: 2.1.3
% 2.73/1.11 % (513388)Termination reason: Instruction limit
% 2.73/1.11 % (513388)Termination phase: Saturation
% 2.73/1.11 % (513388)Time elapsed: 0.013 s
% 2.73/1.11 % (513388)Peak memory usage: 12 MB
% 2.73/1.11 % (513388)Instructions burned: 14 (million)
% 2.73/1.11 % (513390)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=3367918877:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 2.73/1.11 % (513392)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3941302152:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 2.73/1.11 % (513392)Refutation not found, incomplete strategy
% 2.73/1.11 % (513392)------------------------------
% 2.73/1.11 % (513392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/1.11 % (513392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.11 % (513392)CaDiCaL version: 2.1.3
% 2.73/1.11 % (513392)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.11 % (513392)Time elapsed: 0.001 s
% 2.73/1.11 % (513392)Peak memory usage: 12 MB
% 2.73/1.11 % (513392)Instructions burned: 1 (million)
% 2.73/1.11 % (513392)------------------------------
% 2.73/1.11 % (513392)------------------------------
% 2.73/1.11 % (513393)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3621064227:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 2.73/1.11 % (513396)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=686696203:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 2.73/1.11 % (513393)Instruction limit reached!
% 2.73/1.11 % (513393)------------------------------
% 2.73/1.11 % (513393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/1.11 % (513393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.11 % (513393)CaDiCaL version: 2.1.3
% 2.73/1.11 % (513393)Termination reason: Instruction limit
% 2.73/1.11 % (513393)Termination phase: Saturation
% 2.73/1.11 % (513393)Time elapsed: 0.027 s
% 2.73/1.11 % (513393)Peak memory usage: 12 MB
% 2.73/1.11 % (513393)Instructions burned: 31 (million)
% 2.73/1.11 % (513390)Instruction limit reached!
% 2.73/1.11 % (513390)------------------------------
% 2.73/1.11 % (513390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/1.11 % (513390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.11 % (513390)CaDiCaL version: 2.1.3
% 2.73/1.11 % (513390)Termination reason: Instruction limit
% 2.73/1.11 % (513390)Termination phase: Saturation
% 2.73/1.11 % (513390)Time elapsed: 0.054 s
% 2.73/1.11 % (513390)Peak memory usage: 12 MB
% 2.73/1.11 % (513390)Instructions burned: 66 (million)
% 2.73/1.11 % (513399)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=3289788703:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 2.73/1.11 % (513400)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1723441297:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 2.73/1.11 % (513384)Instruction limit reached!
% 4.64/1.21 % (513384)------------------------------
% 4.64/1.21 % (513384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.64/1.21 % (513384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.21 % (513384)CaDiCaL version: 2.1.3
% 4.64/1.21 % (513384)Termination reason: Instruction limit
% 4.64/1.21 % (513384)Termination phase: Saturation
% 4.64/1.21 % (513384)Time elapsed: 0.136 s
% 4.64/1.21 % (513384)Peak memory usage: 12 MB
% 4.64/1.21 % (513384)Instructions burned: 200 (million)
% 4.64/1.21 % (513400)Refutation not found, incomplete strategy
% 4.64/1.21 % (513400)------------------------------
% 4.64/1.21 % (513400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.64/1.21 % (513400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.21 % (513400)CaDiCaL version: 2.1.3
% 4.64/1.21 % (513400)Termination reason: Refutation not found, incomplete strategy
% 4.64/1.21 % (513400)Time elapsed: 0.007 s
% 4.64/1.21 % (513400)Peak memory usage: 12 MB
% 4.64/1.21 % (513400)Instructions burned: 1 (million)
% 4.64/1.21 % (513400)------------------------------
% 4.64/1.21 % (513400)------------------------------
% 4.64/1.21 % (513396)Instruction limit reached!
% 4.64/1.21 % (513396)------------------------------
% 4.64/1.21 % (513396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.64/1.21 % (513396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.21 % (513396)CaDiCaL version: 2.1.3
% 4.64/1.21 % (513396)Termination reason: Instruction limit
% 4.64/1.21 % (513396)Termination phase: Saturation
% 4.64/1.21 % (513396)Time elapsed: 0.092 s
% 4.64/1.21 % (513396)Peak memory usage: 12 MB
% 4.64/1.21 % (513396)Instructions burned: 138 (million)
% 4.64/1.21 % (513399)Instruction limit reached!
% 4.64/1.21 % (513399)------------------------------
% 4.64/1.21 % (513399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.64/1.21 % (513399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.21 % (513399)CaDiCaL version: 2.1.3
% 4.64/1.21 % (513399)Termination reason: Instruction limit
% 4.64/1.21 % (513399)Termination phase: Saturation
% 4.64/1.21 % (513399)Time elapsed: 0.037 s
% 4.64/1.21 % (513399)Peak memory usage: 12 MB
% 4.64/1.21 % (513399)Instructions burned: 36 (million)
% 4.64/1.21 % (513403)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 4.64/1.21 % (513403)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=171550301:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2993 on theBenchmark for (2993ds/180Mi)
% 4.64/1.21 % (513404)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=521200089:st=2:i=246:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/246Mi)
% 4.64/1.21 % (513404)Refutation not found, incomplete strategy
% 4.64/1.21 % (513404)------------------------------
% 4.64/1.21 % (513404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.64/1.21 % (513404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.21 % (513404)CaDiCaL version: 2.1.3
% 4.64/1.21 % (513404)Termination reason: Refutation not found, incomplete strategy
% 4.64/1.21 % (513404)Time elapsed: 0.001 s
% 4.64/1.21 % (513404)Peak memory usage: 11 MB
% 4.64/1.21 % (513404)------------------------------
% 4.64/1.21 % (513404)------------------------------
% 4.64/1.21 % (513405)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2784682489:cond=on:i=96:bd=all:rtra=on_2993 on theBenchmark for (2993ds/96Mi)
% 4.64/1.21 % (513406)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=4087653785:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 4.64/1.21 % (513406)Refutation not found, incomplete strategy
% 4.64/1.21 % (513406)------------------------------
% 4.64/1.21 % (513406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.64/1.21 % (513406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.21 % (513406)CaDiCaL version: 2.1.3
% 4.64/1.21 % (513406)Termination reason: Refutation not found, incomplete strategy
% 4.64/1.21 % (513406)Time elapsed: 0.001 s
% 4.64/1.21 % (513406)Peak memory usage: 11 MB
% 4.64/1.21 % (513406)------------------------------
% 4.64/1.21 % (513406)------------------------------
% 4.64/1.21 % (513375)Instruction limit reached!
% 4.64/1.21 % (513375)------------------------------
% 4.64/1.21 % (513375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.35 % (513375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.35 % (513375)CaDiCaL version: 2.1.3
% 5.28/1.35 % (513375)Termination reason: Instruction limit
% 5.28/1.35 % (513375)Termination phase: Saturation
% 5.28/1.35 % (513375)Time elapsed: 0.276 s
% 5.28/1.35 % (513375)Peak memory usage: 13 MB
% 5.28/1.35 % (513375)Instructions burned: 316 (million)
% 5.28/1.35 % (513409)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=997940197:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/874Mi)
% 5.28/1.35 % (513409)Refutation not found, incomplete strategy
% 5.28/1.35 % (513409)------------------------------
% 5.28/1.35 % (513409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.35 % (513409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.35 % (513409)CaDiCaL version: 2.1.3
% 5.28/1.35 % (513409)Termination reason: Refutation not found, incomplete strategy
% 5.28/1.35 % (513409)Time elapsed: 0.001 s
% 5.28/1.35 % (513409)Peak memory usage: 11 MB
% 5.28/1.35 % (513409)------------------------------
% 5.28/1.35 % (513409)------------------------------
% 5.28/1.35 % (513413)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3700982588:st=1.5:i=130:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 5.28/1.35 % (513413)Refutation not found, incomplete strategy
% 5.28/1.35 % (513413)------------------------------
% 5.28/1.35 % (513413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.35 % (513413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.35 % (513413)CaDiCaL version: 2.1.3
% 5.28/1.35 % (513413)Termination reason: Refutation not found, incomplete strategy
% 5.28/1.35 % (513413)Time elapsed: 0.002 s
% 5.28/1.35 % (513413)Peak memory usage: 11 MB
% 5.28/1.35 % (513413)Instructions burned: 1 (million)
% 5.28/1.35 % (513413)------------------------------
% 5.28/1.35 % (513413)------------------------------
% 5.28/1.35 % (513405)Instruction limit reached!
% 5.28/1.35 % (513405)------------------------------
% 5.28/1.35 % (513405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.35 % (513405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.35 % (513405)CaDiCaL version: 2.1.3
% 5.28/1.35 % (513405)Termination reason: Instruction limit
% 5.28/1.35 % (513405)Termination phase: Saturation
% 5.28/1.35 % (513405)Time elapsed: 0.076 s
% 5.28/1.35 % (513405)Peak memory usage: 12 MB
% 5.28/1.35 % (513405)Instructions burned: 96 (million)
% 5.28/1.35 % (513412)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3962103834:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/515Mi)
% 5.28/1.35 % (513412)Refutation not found, incomplete strategy
% 5.28/1.35 % (513412)------------------------------
% 5.28/1.35 % (513412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.35 % (513412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.35 % (513412)CaDiCaL version: 2.1.3
% 5.28/1.35 % (513412)Termination reason: Refutation not found, incomplete strategy
% 5.28/1.35 % (513412)Time elapsed: 0.012 s
% 5.28/1.35 % (513412)Peak memory usage: 12 MB
% 5.28/1.35 % (513412)Instructions burned: 1 (million)
% 5.28/1.35 % (513412)------------------------------
% 5.28/1.35 % (513412)------------------------------
% 5.28/1.35 % (513419)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3104665575:i=450:rtra=on:ixr=off:ntd=on_2992 on theBenchmark for (2992ds/450Mi)
% 5.28/1.35 % (513415)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2529076803:i=44:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/44Mi)
% 5.28/1.35 % (513403)Instruction limit reached!
% 5.28/1.35 % (513403)------------------------------
% 5.28/1.35 % (513403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.35 % (513403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.35 % (513403)CaDiCaL version: 2.1.3
% 5.28/1.35 % (513403)Termination reason: Instruction limit
% 5.28/1.35 % (513403)Termination phase: Saturation
% 5.28/1.35 % (513403)Time elapsed: 0.140 s
% 5.28/1.35 % (513403)Peak memory usage: 12 MB
% 5.28/1.35 % (513403)Instructions burned: 181 (million)
% 5.28/1.35 % (513417)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=744881412:s2a=on:i=571:nm=16:rtra=on_2992 on theBenchmark for (2992ds/571Mi)
% 5.82/1.44 % (513417)Refutation not found, incomplete strategy
% 5.82/1.44 % (513417)------------------------------
% 5.82/1.44 % (513417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.44 % (513417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.44 % (513417)CaDiCaL version: 2.1.3
% 5.82/1.44 % (513417)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.44 % (513417)Time elapsed: 0.002 s
% 5.82/1.44 % (513417)Peak memory usage: 11 MB
% 5.82/1.44 % (513417)Instructions burned: 1 (million)
% 5.82/1.44 % (513417)------------------------------
% 5.82/1.44 % (513417)------------------------------
% 5.82/1.44 % (513420)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=40233841:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/95Mi)
% 5.82/1.44 % (513423)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=4107786930:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2991 on theBenchmark for (2991ds/65Mi)
% 5.82/1.44 % (513415)Instruction limit reached!
% 5.82/1.44 % (513415)------------------------------
% 5.82/1.44 % (513415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.44 % (513415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.44 % (513415)CaDiCaL version: 2.1.3
% 5.82/1.44 % (513415)Termination reason: Instruction limit
% 5.82/1.44 % (513415)Termination phase: Saturation
% 5.82/1.44 % (513415)Time elapsed: 0.039 s
% 5.82/1.44 % (513415)Peak memory usage: 12 MB
% 5.82/1.44 % (513415)Instructions burned: 44 (million)
% 5.82/1.44 % (513354)Instruction limit reached!
% 5.82/1.44 % (513354)------------------------------
% 5.82/1.44 % (513354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.44 % (513354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.44 % (513354)CaDiCaL version: 2.1.3
% 5.82/1.44 % (513354)Termination reason: Instruction limit
% 5.82/1.44 % (513354)Termination phase: Saturation
% 5.82/1.44 % (513354)Time elapsed: 0.565 s
% 5.82/1.44 % (513354)Peak memory usage: 13 MB
% 5.82/1.44 % (513354)Instructions burned: 1240 (million)
% 5.82/1.44 % (513425)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=2818017787:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2991 on theBenchmark for (2991ds/105Mi)
% 5.82/1.44 % (513423)Instruction limit reached!
% 5.82/1.44 % (513423)------------------------------
% 5.82/1.44 % (513423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.44 % (513423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.44 % (513423)CaDiCaL version: 2.1.3
% 5.82/1.44 % (513423)Termination reason: Instruction limit
% 5.82/1.44 % (513423)Termination phase: Saturation
% 5.82/1.44 % (513423)Time elapsed: 0.028 s
% 5.82/1.44 % (513423)Peak memory usage: 12 MB
% 5.82/1.44 % (513423)Instructions burned: 67 (million)
% 5.82/1.44 % (513428)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=4271876447:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2991 on theBenchmark for (2991ds/5755Mi)
% 5.82/1.45 % (513428)Refutation not found, incomplete strategy
% 5.82/1.45 % (513428)------------------------------
% 5.82/1.45 % (513428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.45 % (513428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.45 % (513428)CaDiCaL version: 2.1.3
% 5.82/1.45 % (513428)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.45 % (513428)Time elapsed: 0.005 s
% 5.82/1.45 % (513428)Peak memory usage: 12 MB
% 5.82/1.45 % (513428)------------------------------
% 5.82/1.45 % (513428)------------------------------
% 5.82/1.45 % (513429)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1668226178:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/375Mi)
% 5.82/1.45 % (513429)Refutation not found, incomplete strategy
% 5.82/1.45 % (513429)------------------------------
% 5.82/1.45 % (513429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/1.45 % (513429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.56 % (513429)CaDiCaL version: 2.1.3
% 6.12/1.56 % (513429)Termination reason: Refutation not found, incomplete strategy
% 6.12/1.56 % (513429)Time elapsed: 0.0000 s
% 6.12/1.56 % (513429)Peak memory usage: 11 MB
% 6.12/1.56 % (513429)------------------------------
% 6.12/1.56 % (513429)------------------------------
% 6.12/1.56 % (513420)Instruction limit reached!
% 6.12/1.56 % (513420)------------------------------
% 6.12/1.56 % (513420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.56 % (513420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.56 % (513420)CaDiCaL version: 2.1.3
% 6.12/1.56 % (513420)Termination reason: Instruction limit
% 6.12/1.56 % (513420)Termination phase: Saturation
% 6.12/1.56 % (513420)Time elapsed: 0.075 s
% 6.12/1.56 % (513420)Peak memory usage: 12 MB
% 6.12/1.56 % (513420)Instructions burned: 96 (million)
% 6.12/1.56 % (513431)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3762562271:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/495Mi)
% 6.12/1.56 % (513425)Instruction limit reached!
% 6.12/1.56 % (513425)------------------------------
% 6.12/1.56 % (513425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.56 % (513425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.56 % (513425)CaDiCaL version: 2.1.3
% 6.12/1.56 % (513425)Termination reason: Instruction limit
% 6.12/1.56 % (513425)Termination phase: Saturation
% 6.12/1.56 % (513425)Time elapsed: 0.087 s
% 6.12/1.56 % (513425)Peak memory usage: 12 MB
% 6.12/1.56 % (513425)Instructions burned: 105 (million)
% 6.12/1.56 % (513433)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=242707023:cond=on:i=34:hud=10:nm=10:rtra=on_2991 on theBenchmark for (2991ds/34Mi)
% 6.12/1.56 % (513436)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2690267250:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2990 on theBenchmark for (2990ds/66Mi)
% 6.12/1.56 % (513436)Refutation not found, incomplete strategy
% 6.12/1.56 % (513436)------------------------------
% 6.12/1.56 % (513436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.56 % (513436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.56 % (513436)CaDiCaL version: 2.1.3
% 6.12/1.56 % (513436)Termination reason: Refutation not found, incomplete strategy
% 6.12/1.56 % (513436)Time elapsed: 0.001 s
% 6.12/1.56 % (513436)Peak memory usage: 11 MB
% 6.12/1.56 % (513435)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=985707780:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/91Mi)
% 6.12/1.56 % (513436)------------------------------
% 6.12/1.56 % (513436)------------------------------
% 6.12/1.56 % (513376)Instruction limit reached!
% 6.12/1.56 % (513376)------------------------------
% 6.12/1.56 % (513376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.56 % (513376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.56 % (513376)CaDiCaL version: 2.1.3
% 6.12/1.56 % (513376)Termination reason: Instruction limit
% 6.12/1.56 % (513376)Termination phase: Saturation
% 6.12/1.56 % (513376)Time elapsed: 0.565 s
% 6.12/1.56 % (513376)Peak memory usage: 13 MB
% 6.12/1.56 % (513376)Instructions burned: 854 (million)
% 6.12/1.56 % (513438)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2774352052:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2990 on theBenchmark for (2990ds/22Mi)
% 6.12/1.56 % (513433)Instruction limit reached!
% 6.12/1.56 % (513433)------------------------------
% 6.12/1.56 % (513433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.56 % (513433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.56 % (513433)CaDiCaL version: 2.1.3
% 6.12/1.56 % (513433)Termination reason: Instruction limit
% 6.12/1.56 % (513433)Termination phase: Saturation
% 6.12/1.56 % (513433)Time elapsed: 0.053 s
% 6.12/1.56 % (513433)Peak memory usage: 12 MB
% 6.12/1.56 % (513433)Instructions burned: 34 (million)
% 6.12/1.56 % (513438)Instruction limit reached!
% 6.12/1.56 % (513438)------------------------------
% 6.12/1.56 % (513438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.56 % (513438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.67 % (513438)CaDiCaL version: 2.1.3
% 6.30/1.67 % (513438)Termination reason: Instruction limit
% 6.30/1.67 % (513438)Termination phase: Saturation
% 6.30/1.67 % (513438)Time elapsed: 0.046 s
% 6.30/1.67 % (513438)Peak memory usage: 12 MB
% 6.30/1.67 % (513438)Instructions burned: 22 (million)
% 6.30/1.67 % (513435)Instruction limit reached!
% 6.30/1.67 % (513435)------------------------------
% 6.30/1.67 % (513435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.67 % (513435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.67 % (513435)CaDiCaL version: 2.1.3
% 6.30/1.67 % (513435)Termination reason: Instruction limit
% 6.30/1.67 % (513435)Termination phase: Saturation
% 6.30/1.67 % (513435)Time elapsed: 0.067 s
% 6.30/1.67 % (513435)Peak memory usage: 12 MB
% 6.30/1.67 % (513435)Instructions burned: 92 (million)
% 6.30/1.67 % (513442)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=3471497199:i=338:bd=all:ins=4:rtra=on_2990 on theBenchmark for (2990ds/338Mi)
% 6.30/1.67 % (513443)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1775578774:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/28Mi)
% 6.30/1.67 % (513443)Refutation not found, incomplete strategy
% 6.30/1.67 % (513443)------------------------------
% 6.30/1.67 % (513443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.67 % (513443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.67 % (513443)CaDiCaL version: 2.1.3
% 6.30/1.67 % (513443)Termination reason: Refutation not found, incomplete strategy
% 6.30/1.67 % (513443)Time elapsed: 0.001 s
% 6.30/1.67 % (513443)Peak memory usage: 11 MB
% 6.30/1.67 % (513443)------------------------------
% 6.30/1.67 % (513443)------------------------------
% 6.30/1.67 % (513445)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.30/1.67 % (513445)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3440896936:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/137Mi)
% 6.30/1.67 % (513450)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.30/1.67 % (513419)Instruction limit reached!
% 6.30/1.67 % (513419)------------------------------
% 6.30/1.67 % (513419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.67 % (513419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.67 % (513419)CaDiCaL version: 2.1.3
% 6.30/1.67 % (513419)Termination reason: Instruction limit
% 6.30/1.67 % (513419)Termination phase: Saturation
% 6.30/1.67 % (513419)Time elapsed: 0.277 s
% 6.30/1.67 % (513419)Peak memory usage: 13 MB
% 6.30/1.67 % (513419)Instructions burned: 450 (million)
% 6.30/1.67 % (513450)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=506041191:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/373Mi)
% 6.30/1.67 % (513446)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=1389747613:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/340Mi)
% 6.30/1.67 % (513448)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1375714382:i=227:sd=1:bd=all:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/227Mi)
% 6.30/1.67 % (513448)Refutation not found, incomplete strategy
% 6.30/1.67 % (513448)------------------------------
% 6.30/1.67 % (513448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.30/1.67 % (513448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.67 % (513448)CaDiCaL version: 2.1.3
% 6.30/1.67 % (513448)Termination reason: Refutation not found, incomplete strategy
% 6.30/1.67 % (513448)Time elapsed: 0.001 s
% 6.30/1.67 % (513448)Peak memory usage: 11 MB
% 6.30/1.67 % (513448)------------------------------
% 6.30/1.67 % (513448)------------------------------
% 6.30/1.67 % (513452)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3594846213:i=116:ep=RSTC:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/116Mi)
% 6.30/1.67 % (513456)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=4255859281:i=575:rtra=on_2989 on theBenchmark for (2989ds/575Mi)
% 7.62/1.78 % (513456)Refutation not found, incomplete strategy
% 7.62/1.78 % (513456)------------------------------
% 7.62/1.78 % (513456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.78 % (513456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.78 % (513456)CaDiCaL version: 2.1.3
% 7.62/1.78 % (513456)Termination reason: Refutation not found, incomplete strategy
% 7.62/1.78 % (513456)Time elapsed: 0.005 s
% 7.62/1.78 % (513456)Peak memory usage: 12 MB
% 7.62/1.78 % (513456)Instructions burned: 1 (million)
% 7.62/1.78 % (513456)------------------------------
% 7.62/1.78 % (513456)------------------------------
% 7.62/1.78 % (513445)Instruction limit reached!
% 7.62/1.78 % (513445)------------------------------
% 7.62/1.78 % (513445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.78 % (513445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.78 % (513445)CaDiCaL version: 2.1.3
% 7.62/1.78 % (513445)Termination reason: Instruction limit
% 7.62/1.78 % (513445)Termination phase: Saturation
% 7.62/1.78 % (513445)Time elapsed: 0.102 s
% 7.62/1.78 % (513445)Peak memory usage: 12 MB
% 7.62/1.78 % (513445)Instructions burned: 137 (million)
% 7.62/1.78 % (513442)Instruction limit reached!
% 7.62/1.78 % (513442)------------------------------
% 7.62/1.78 % (513442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.78 % (513442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.78 % (513442)CaDiCaL version: 2.1.3
% 7.62/1.78 % (513442)Termination reason: Instruction limit
% 7.62/1.78 % (513442)Termination phase: Saturation
% 7.62/1.78 % (513442)Time elapsed: 0.137 s
% 7.62/1.78 % (513442)Peak memory usage: 14 MB
% 7.62/1.78 % (513442)Instructions burned: 339 (million)
% 7.62/1.78 % (513459)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3771643816:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2988 on theBenchmark for (2988ds/270Mi)
% 7.62/1.78 % (513460)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=215391279: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_2988 on theBenchmark for (2988ds/9840Mi)
% 7.62/1.78 % (513461)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2496088237:i=421:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/421Mi)
% 7.62/1.78 % (513461)Refutation not found, incomplete strategy
% 7.62/1.78 % (513461)------------------------------
% 7.62/1.78 % (513461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.78 % (513461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.78 % (513461)CaDiCaL version: 2.1.3
% 7.62/1.78 % (513461)Termination reason: Refutation not found, incomplete strategy
% 7.62/1.78 % (513461)Time elapsed: 0.001 s
% 7.62/1.78 % (513461)Peak memory usage: 11 MB
% 7.62/1.78 % (513461)------------------------------
% 7.62/1.78 % (513461)------------------------------
% 7.62/1.78 % (513452)Instruction limit reached!
% 7.62/1.78 % (513452)------------------------------
% 7.62/1.78 % (513452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.78 % (513452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.78 % (513452)CaDiCaL version: 2.1.3
% 7.62/1.78 % (513452)Termination reason: Instruction limit
% 7.62/1.78 % (513452)Termination phase: Saturation
% 7.62/1.78 % (513452)Time elapsed: 0.103 s
% 7.62/1.78 % (513452)Peak memory usage: 12 MB
% 7.62/1.78 % (513452)Instructions burned: 117 (million)
% 7.62/1.78 % (513465)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.62/1.78 % (513465)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=2394958173:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/270Mi)
% 7.62/1.78 % (513466)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3124376306:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/31Mi)
% 7.74/1.87 % (513466)Instruction limit reached!
% 7.74/1.87 % (513466)------------------------------
% 7.74/1.87 % (513466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.87 % (513466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.87 % (513466)CaDiCaL version: 2.1.3
% 7.74/1.87 % (513466)Termination reason: Instruction limit
% 7.74/1.87 % (513466)Termination phase: Saturation
% 7.74/1.87 % (513466)Time elapsed: 0.028 s
% 7.74/1.87 % (513466)Peak memory usage: 12 MB
% 7.74/1.87 % (513466)Instructions burned: 32 (million)
% 7.74/1.87 % (513469)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.74/1.87 % (513469)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.74/1.87 % (513469)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=1431860911:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2987 on theBenchmark for (2987ds/1440Mi)
% 7.74/1.87 % (513431)Instruction limit reached!
% 7.74/1.87 % (513431)------------------------------
% 7.74/1.87 % (513431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.87 % (513431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.87 % (513431)CaDiCaL version: 2.1.3
% 7.74/1.87 % (513431)Termination reason: Instruction limit
% 7.74/1.87 % (513431)Termination phase: Saturation
% 7.74/1.87 % (513431)Time elapsed: 0.399 s
% 7.74/1.87 % (513431)Peak memory usage: 13 MB
% 7.74/1.87 % (513431)Instructions burned: 495 (million)
% 7.74/1.87 % (513465)Instruction limit reached!
% 7.74/1.87 % (513465)------------------------------
% 7.74/1.87 % (513465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.87 % (513465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.87 % (513465)CaDiCaL version: 2.1.3
% 7.74/1.87 % (513465)Termination reason: Instruction limit
% 7.74/1.87 % (513465)Termination phase: Saturation
% 7.74/1.87 % (513465)Time elapsed: 0.095 s
% 7.74/1.87 % (513465)Peak memory usage: 13 MB
% 7.74/1.87 % (513465)Instructions burned: 273 (million)
% 7.74/1.87 % (513446)Instruction limit reached!
% 7.74/1.87 % (513446)------------------------------
% 7.74/1.87 % (513446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.87 % (513446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.87 % (513446)CaDiCaL version: 2.1.3
% 7.74/1.87 % (513446)Termination reason: Instruction limit
% 7.74/1.87 % (513446)Termination phase: Saturation
% 7.74/1.87 % (513446)Time elapsed: 0.263 s
% 7.74/1.87 % (513446)Peak memory usage: 13 MB
% 7.74/1.87 % (513446)Instructions burned: 340 (million)
% 7.74/1.87 % (513473)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=2570247812:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2986 on theBenchmark for (2986ds/122Mi)
% 7.74/1.87 % (513473)Refutation not found, incomplete strategy
% 7.74/1.87 % (513473)------------------------------
% 7.74/1.87 % (513473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.87 % (513473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.87 % (513473)CaDiCaL version: 2.1.3
% 7.74/1.87 % (513473)Termination reason: Refutation not found, incomplete strategy
% 7.74/1.87 % (513473)Time elapsed: 0.0000 s
% 7.74/1.87 % (513473)Peak memory usage: 11 MB
% 7.74/1.87 % (513473)------------------------------
% 7.74/1.87 % (513473)------------------------------
% 7.74/1.87 % (513471)dis+10_2_sil=128000:si=on:random_seed=1494580203:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2986 on theBenchmark for (2986ds/339Mi)
% 7.74/1.87 % (513471)Refutation not found, incomplete strategy
% 7.74/1.87 % (513471)------------------------------
% 7.74/1.87 % (513471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.87 % (513471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.87 % (513471)CaDiCaL version: 2.1.3
% 7.74/1.87 % (513471)Termination reason: Refutation not found, incomplete strategy
% 7.74/1.87 % (513471)Time elapsed: 0.0000 s
% 7.74/1.87 % (513471)Peak memory usage: 11 MB
% 7.74/1.87 % (513450)Instruction limit reached!
% 7.74/1.87 % (513450)------------------------------
% 8.24/2.01 % (513450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/2.01 % (513450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.01 % (513450)CaDiCaL version: 2.1.3
% 8.24/2.01 % (513450)Termination reason: Instruction limit
% 8.24/2.01 % (513450)Termination phase: Saturation
% 8.24/2.01 % (513450)Time elapsed: 0.290 s
% 8.24/2.01 % (513450)Peak memory usage: 13 MB
% 8.24/2.01 % (513450)Instructions burned: 373 (million)
% 8.24/2.01 % (513471)------------------------------
% 8.24/2.01 % (513471)------------------------------
% 8.24/2.01 % (513472)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1107969300:i=111:add=on:fgj=on:rtra=on:fdi=1024_2986 on theBenchmark for (2986ds/111Mi)
% 8.24/2.01 % (513459)Instruction limit reached!
% 8.24/2.01 % (513459)------------------------------
% 8.24/2.01 % (513459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/2.01 % (513459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.01 % (513459)CaDiCaL version: 2.1.3
% 8.24/2.01 % (513459)Termination reason: Instruction limit
% 8.24/2.01 % (513459)Termination phase: Saturation
% 8.24/2.01 % (513459)Time elapsed: 0.208 s
% 8.24/2.01 % (513459)Peak memory usage: 12 MB
% 8.24/2.01 % (513459)Instructions burned: 271 (million)
% 8.24/2.01 % (513477)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3025145516:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2986 on theBenchmark for (2986ds/232Mi)
% 8.24/2.01 % (513477)Refutation not found, incomplete strategy
% 8.24/2.01 % (513477)------------------------------
% 8.24/2.01 % (513477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/2.01 % (513477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.01 % (513477)CaDiCaL version: 2.1.3
% 8.24/2.01 % (513477)Termination reason: Refutation not found, incomplete strategy
% 8.24/2.01 % (513477)Time elapsed: 0.0000 s
% 8.24/2.01 % (513476)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=85798039:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/136Mi)
% 8.24/2.01 % (513476)Refutation not found, incomplete strategy
% 8.24/2.01 % (513476)------------------------------
% 8.24/2.01 % (513476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/2.01 % (513476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.01 % (513476)CaDiCaL version: 2.1.3
% 8.24/2.01 % (513476)Termination reason: Refutation not found, incomplete strategy
% 8.24/2.01 % (513476)Time elapsed: 0.001 s
% 8.24/2.01 % (513476)Peak memory usage: 11 MB
% 8.24/2.01 % (513476)Instructions burned: 1 (million)
% 8.24/2.01 % (513476)------------------------------
% 8.24/2.01 % (513476)------------------------------
% 8.24/2.01 % (513477)Peak memory usage: 11 MB
% 8.24/2.01 % (513477)------------------------------
% 8.24/2.01 % (513477)------------------------------
% 8.24/2.01 % (513478)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=1710250326:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2986 on theBenchmark for (2986ds/1254Mi)
% 8.24/2.01 % (513478)Refutation not found, incomplete strategy
% 8.24/2.01 % (513478)------------------------------
% 8.24/2.01 % (513478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/2.01 % (513478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/2.01 % (513478)CaDiCaL version: 2.1.3
% 8.24/2.01 % (513478)Termination reason: Refutation not found, incomplete strategy
% 8.24/2.01 % (513478)Time elapsed: 0.014 s
% 8.24/2.01 % (513478)Peak memory usage: 12 MB
% 8.24/2.01 % (513478)Instructions burned: 3 (million)
% 8.24/2.01 % (513478)------------------------------
% 8.24/2.01 % (513478)------------------------------
% 8.24/2.01 % (513480)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 8.24/2.01 % (513484)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=3341578200:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/865Mi)
% 8.24/2.01 % (513480)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=1418395340:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2985 on theBenchmark for (2985ds/281Mi)
% 10.55/2.25 % (513486)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2465779596:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/212Mi)
% 10.55/2.25 % (513486)Refutation not found, incomplete strategy
% 10.55/2.25 % (513486)------------------------------
% 10.55/2.25 % (513486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/2.25 % (513486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.25 % (513486)CaDiCaL version: 2.1.3
% 10.55/2.25 % (513486)Termination reason: Refutation not found, incomplete strategy
% 10.55/2.25 % (513486)Time elapsed: 0.0000 s
% 10.55/2.25 % (513486)Peak memory usage: 12 MB
% 10.55/2.25 % (513486)------------------------------
% 10.55/2.25 % (513486)------------------------------
% 10.55/2.25 % (513483)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=571670982:i=619:add=on:rtra=on_2985 on theBenchmark for (2985ds/619Mi)
% 10.55/2.25 % (513483)Refutation not found, incomplete strategy
% 10.55/2.25 % (513483)------------------------------
% 10.55/2.25 % (513483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/2.25 % (513483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.25 % (513483)CaDiCaL version: 2.1.3
% 10.55/2.25 % (513483)Termination reason: Refutation not found, incomplete strategy
% 10.55/2.25 % (513483)Time elapsed: 0.003 s
% 10.55/2.25 % (513483)Peak memory usage: 12 MB
% 10.55/2.25 % (513483)Instructions burned: 3 (million)
% 10.55/2.25 % (513483)------------------------------
% 10.55/2.25 % (513483)------------------------------
% 10.55/2.25 % (513490)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1671747328:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/130Mi)
% 10.55/2.25 % (513490)Refutation not found, incomplete strategy
% 10.55/2.25 % (513490)------------------------------
% 10.55/2.25 % (513490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/2.25 % (513490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.25 % (513490)CaDiCaL version: 2.1.3
% 10.55/2.25 % (513490)Termination reason: Refutation not found, incomplete strategy
% 10.55/2.25 % (513490)Time elapsed: 0.0000 s
% 10.55/2.25 % (513490)Peak memory usage: 11 MB
% 10.55/2.25 % (513490)------------------------------
% 10.55/2.25 % (513490)------------------------------
% 10.55/2.25 % (513472)Instruction limit reached!
% 10.55/2.25 % (513472)------------------------------
% 10.55/2.25 % (513472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/2.25 % (513472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.25 % (513472)CaDiCaL version: 2.1.3
% 10.55/2.25 % (513472)Termination reason: Instruction limit
% 10.55/2.25 % (513472)Termination phase: Saturation
% 10.55/2.25 % (513472)Time elapsed: 0.124 s
% 10.55/2.25 % (513472)Peak memory usage: 12 MB
% 10.55/2.25 % (513472)Instructions burned: 113 (million)
% 10.55/2.25 % (513494)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2060751838:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/152Mi)
% 10.55/2.25 % (513492)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1188631198:st=1.5:i=346:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/346Mi)
% 10.55/2.25 % (513492)Refutation not found, incomplete strategy
% 10.55/2.25 % (513492)------------------------------
% 10.55/2.25 % (513492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.55/2.25 % (513492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.55/2.25 % (513492)CaDiCaL version: 2.1.3
% 10.55/2.25 % (513492)Termination reason: Refutation not found, incomplete strategy
% 10.55/2.25 % (513492)Time elapsed: 0.002 s
% 10.55/2.25 % (513492)Peak memory usage: 11 MB
% 10.55/2.25 % (513492)Instructions burned: 2 (million)
% 10.55/2.25 % (513492)------------------------------
% 10.55/2.25 % (513492)------------------------------
% 10.55/2.25 % (513495)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2671994510:i=75:ep=R:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/75Mi)
% 10.55/2.25 % (513498)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1259722943:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/387Mi)
% 10.55/2.25 % (513498)Refutation not found, incomplete strategy
% 12.62/2.52 % (513498)------------------------------
% 12.62/2.52 % (513498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.62/2.52 % (513498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.52 % (513498)CaDiCaL version: 2.1.3
% 12.62/2.52 % (513498)Termination reason: Refutation not found, incomplete strategy
% 12.62/2.52 % (513498)Time elapsed: 0.001 s
% 12.62/2.52 % (513498)Peak memory usage: 11 MB
% 12.62/2.52 % (513498)Instructions burned: 1 (million)
% 12.62/2.52 % (513498)------------------------------
% 12.62/2.52 % (513498)------------------------------
% 12.62/2.52 % (513501)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=559444734:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2984 on theBenchmark for (2984ds/148Mi)
% 12.62/2.52 % (513494)Instruction limit reached!
% 12.62/2.52 % (513494)------------------------------
% 12.62/2.52 % (513494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.62/2.52 % (513494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.52 % (513494)CaDiCaL version: 2.1.3
% 12.62/2.52 % (513494)Termination reason: Instruction limit
% 12.62/2.52 % (513494)Termination phase: Saturation
% 12.62/2.52 % (513494)Time elapsed: 0.066 s
% 12.62/2.52 % (513494)Peak memory usage: 13 MB
% 12.62/2.52 % (513494)Instructions burned: 154 (million)
% 12.62/2.52 % (513495)Instruction limit reached!
% 12.62/2.52 % (513495)------------------------------
% 12.62/2.52 % (513495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.62/2.52 % (513495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.52 % (513495)CaDiCaL version: 2.1.3
% 12.62/2.52 % (513495)Termination reason: Instruction limit
% 12.62/2.52 % (513495)Termination phase: Saturation
% 12.62/2.52 % (513495)Time elapsed: 0.061 s
% 12.62/2.52 % (513495)Peak memory usage: 12 MB
% 12.62/2.52 % (513495)Instructions burned: 75 (million)
% 12.62/2.52 % (513503)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2368964254:i=161:piset=and:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/161Mi)
% 12.62/2.52 % (513504)lrs+10_1_sil=128000:si=on:random_seed=3008819688:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/888Mi)
% 12.62/2.52 % (513504)Refutation not found, incomplete strategy
% 12.62/2.52 % (513504)------------------------------
% 12.62/2.52 % (513504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.62/2.52 % (513504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.52 % (513504)CaDiCaL version: 2.1.3
% 12.62/2.52 % (513504)Termination reason: Refutation not found, incomplete strategy
% 12.62/2.52 % (513504)Time elapsed: 0.0000 s
% 12.62/2.52 % (513504)Peak memory usage: 11 MB
% 12.62/2.52 % (513504)------------------------------
% 12.62/2.52 % (513504)------------------------------
% 12.62/2.52 % (513507)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=2988448802:i=136:add=on:ins=4:rtra=on:sup=off_2983 on theBenchmark for (2983ds/136Mi)
% 12.62/2.52 % (513503)Instruction limit reached!
% 12.62/2.52 % (513503)------------------------------
% 12.62/2.52 % (513503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.62/2.52 % (513503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.52 % (513503)CaDiCaL version: 2.1.3
% 12.62/2.52 % (513503)Termination reason: Instruction limit
% 12.62/2.52 % (513503)Termination phase: Saturation
% 12.62/2.52 % (513503)Time elapsed: 0.063 s
% 12.62/2.52 % (513503)Peak memory usage: 12 MB
% 12.62/2.52 % (513503)Instructions burned: 163 (million)
% 12.62/2.52 % (513507)Instruction limit reached!
% 12.62/2.52 % (513507)------------------------------
% 12.62/2.52 % (513507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.62/2.52 % (513507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.52 % (513507)CaDiCaL version: 2.1.3
% 12.62/2.52 % (513507)Termination reason: Instruction limit
% 12.62/2.52 % (513507)Termination phase: Saturation
% 12.62/2.52 % (513507)Time elapsed: 0.050 s
% 12.62/2.52 % (513507)Peak memory usage: 12 MB
% 12.62/2.52 % (513507)Instructions burned: 138 (million)
% 12.62/2.52 % (513509)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=2591395256:i=88:s2at=3:nm=2:rtra=on:rawr=on_2983 on theBenchmark for (2983ds/88Mi)
% 13.63/2.84 % (513501)Instruction limit reached!
% 13.63/2.84 % (513501)------------------------------
% 13.63/2.84 % (513501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.63/2.84 % (513501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.63/2.84 % (513501)CaDiCaL version: 2.1.3
% 13.63/2.84 % (513501)Termination reason: Instruction limit
% 13.63/2.84 % (513501)Termination phase: Saturation
% 13.63/2.84 % (513501)Time elapsed: 0.124 s
% 13.63/2.84 % (513501)Peak memory usage: 12 MB
% 13.63/2.84 % (513501)Instructions burned: 149 (million)
% 13.63/2.84 % (513480)Instruction limit reached!
% 13.63/2.84 % (513480)------------------------------
% 13.63/2.84 % (513480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.63/2.84 % (513480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.63/2.84 % (513480)CaDiCaL version: 2.1.3
% 13.63/2.84 % (513480)Termination reason: Instruction limit
% 13.63/2.84 % (513480)Termination phase: Saturation
% 13.63/2.84 % (513480)Time elapsed: 0.240 s
% 13.63/2.84 % (513480)Peak memory usage: 13 MB
% 13.63/2.84 % (513480)Instructions burned: 281 (million)
% 13.63/2.84 % (513510)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2104552544:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2983 on theBenchmark for (2983ds/93Mi)
% 13.63/2.84 % (513512)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2898855532:i=2186:rtra=on:ixr=off_2982 on theBenchmark for (2982ds/2186Mi)
% 13.63/2.84 % (513513)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1595369637:s2a=on:i=240:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/240Mi)
% 13.63/2.84 % (513509)Instruction limit reached!
% 13.63/2.84 % (513509)------------------------------
% 13.63/2.84 % (513509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.63/2.84 % (513509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.63/2.84 % (513509)CaDiCaL version: 2.1.3
% 13.63/2.84 % (513509)Termination reason: Instruction limit
% 13.63/2.84 % (513509)Termination phase: Saturation
% 13.63/2.84 % (513509)Time elapsed: 0.128 s
% 13.63/2.84 % (513509)Peak memory usage: 12 MB
% 13.63/2.84 % (513509)Instructions burned: 89 (million)
% 13.63/2.84 % (513517)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=4068651380:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2981 on theBenchmark for (2981ds/805Mi)
% 13.63/2.84 % (513510)Instruction limit reached!
% 13.63/2.84 % (513510)------------------------------
% 13.63/2.84 % (513510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.63/2.84 % (513510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.63/2.84 % (513510)CaDiCaL version: 2.1.3
% 13.63/2.84 % (513510)Termination reason: Instruction limit
% 13.63/2.84 % (513510)Termination phase: Saturation
% 13.63/2.84 % (513510)Time elapsed: 0.113 s
% 13.63/2.84 % (513510)Peak memory usage: 12 MB
% 13.63/2.84 % (513510)Instructions burned: 94 (million)
% 13.63/2.84 % (513519)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 13.63/2.84 % (513519)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=3942907352:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2981 on theBenchmark for (2981ds/391Mi)
% 13.63/2.84 % (513519)Refutation not found, incomplete strategy
% 13.63/2.84 % (513519)------------------------------
% 13.63/2.84 % (513519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.63/2.84 % (513519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.63/2.84 % (513519)CaDiCaL version: 2.1.3
% 13.63/2.84 % (513519)Termination reason: Refutation not found, incomplete strategy
% 13.63/2.84 % (513519)Time elapsed: 0.001 s
% 13.63/2.84 % (513519)Peak memory usage: 12 MB
% 13.63/2.84 % (513519)Instructions burned: 2 (million)
% 13.63/2.84 % (513519)------------------------------
% 13.63/2.84 % (513519)------------------------------
% 13.63/2.84 % (513521)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3919924838:i=355:av=off:fsr=off:rtra=on:ixr=off_2981 on theBenchmark for (2981ds/355Mi)
% 13.63/2.84 % (513513)Instruction limit reached!
% 13.63/2.84 % (513513)------------------------------
% 13.63/2.84 % (513513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.55/2.97 % (513513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/2.97 % (513513)CaDiCaL version: 2.1.3
% 14.55/2.97 % (513513)Termination reason: Instruction limit
% 14.55/2.97 % (513513)Termination phase: Saturation
% 14.55/2.97 % (513513)Time elapsed: 0.160 s
% 14.55/2.97 % (513513)Peak memory usage: 13 MB
% 14.55/2.97 % (513513)Instructions burned: 241 (million)
% 14.55/2.97 % (513523)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=4138966493:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/314Mi)
% 14.55/2.97 % (513523)Refutation not found, incomplete strategy
% 14.55/2.97 % (513523)------------------------------
% 14.55/2.97 % (513523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.55/2.97 % (513523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/2.97 % (513523)CaDiCaL version: 2.1.3
% 14.55/2.97 % (513523)Termination reason: Refutation not found, incomplete strategy
% 14.55/2.97 % (513523)Time elapsed: 0.001 s
% 14.55/2.97 % (513523)Peak memory usage: 11 MB
% 14.55/2.97 % (513523)------------------------------
% 14.55/2.97 % (513523)------------------------------
% 14.55/2.97 % (513525)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2553675107:s2a=on:i=251:fsr=off:rtra=on_2980 on theBenchmark for (2980ds/251Mi)
% 14.55/2.97 % (513521)Instruction limit reached!
% 14.55/2.97 % (513521)------------------------------
% 14.55/2.97 % (513521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.55/2.97 % (513521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/2.97 % (513521)CaDiCaL version: 2.1.3
% 14.55/2.97 % (513521)Termination reason: Instruction limit
% 14.55/2.97 % (513521)Termination phase: Saturation
% 14.55/2.97 % (513521)Time elapsed: 0.214 s
% 14.55/2.97 % (513521)Peak memory usage: 12 MB
% 14.55/2.97 % (513521)Instructions burned: 355 (million)
% 14.55/2.97 % (513484)Instruction limit reached!
% 14.55/2.97 % (513484)------------------------------
% 14.55/2.97 % (513484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.55/2.97 % (513484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/2.97 % (513484)CaDiCaL version: 2.1.3
% 14.55/2.97 % (513484)Termination reason: Instruction limit
% 14.55/2.97 % (513484)Termination phase: Saturation
% 14.55/2.97 % (513484)Time elapsed: 0.643 s
% 14.55/2.97 % (513484)Peak memory usage: 15 MB
% 14.55/2.97 % (513484)Instructions burned: 866 (million)
% 14.55/2.97 % (513528)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=4108292742:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2978 on theBenchmark for (2978ds/673Mi)
% 14.55/2.97 % (513527)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=2975045988: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_2978 on theBenchmark for (2978ds/2470Mi)
% 14.55/2.97 % (513517)Instruction limit reached!
% 14.55/2.97 % (513517)------------------------------
% 14.55/2.97 % (513517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.55/2.97 % (513517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/2.97 % (513517)CaDiCaL version: 2.1.3
% 14.55/2.97 % (513517)Termination reason: Instruction limit
% 14.55/2.97 % (513517)Termination phase: Saturation
% 14.55/2.97 % (513517)Time elapsed: 0.305 s
% 14.55/2.97 % (513517)Peak memory usage: 13 MB
% 14.55/2.97 % (513517)Instructions burned: 806 (million)
% 14.55/2.97 % (513531)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2414693276:i=116:ep=RSTC:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/116Mi)
% 14.55/2.97 % (513469)Instruction limit reached!
% 14.55/2.97 % (513469)------------------------------
% 14.55/2.97 % (513469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.55/2.97 % (513469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.55/2.97 % (513469)CaDiCaL version: 2.1.3
% 14.55/2.97 % (513469)Termination reason: Instruction limit
% 14.55/2.97 % (513469)Termination phase: Saturation
% 14.55/2.97 % (513469)Time elapsed: 0.889 s
% 14.55/2.97 % (513469)Peak memory usage: 14 MB
% 14.55/2.97 % (513469)Instructions burned: 1442 (million)
% 14.55/2.97 % (513525)Instruction limit reached!
% 14.55/2.97 % (513525)------------------------------
% 14.55/2.97 % (513525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/3.23 % (513525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/3.23 % (513525)CaDiCaL version: 2.1.3
% 17.00/3.23 % (513525)Termination reason: Instruction limit
% 17.00/3.23 % (513525)Termination phase: Saturation
% 17.00/3.23 % (513525)Time elapsed: 0.199 s
% 17.00/3.23 % (513525)Peak memory usage: 12 MB
% 17.00/3.23 % (513525)Instructions burned: 253 (million)
% 17.00/3.23 % (513531)Instruction limit reached!
% 17.00/3.23 % (513531)------------------------------
% 17.00/3.23 % (513531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/3.23 % (513531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/3.23 % (513531)CaDiCaL version: 2.1.3
% 17.00/3.23 % (513531)Termination reason: Instruction limit
% 17.00/3.23 % (513531)Termination phase: Saturation
% 17.00/3.23 % (513531)Time elapsed: 0.041 s
% 17.00/3.23 % (513531)Peak memory usage: 12 MB
% 17.00/3.23 % (513531)Instructions burned: 116 (million)
% 17.00/3.23 % (513533)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=91992719:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2977 on theBenchmark for (2977ds/270Mi)
% 17.00/3.23 % (513535)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 17.00/3.23 % (513534)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=407271729: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_2977 on theBenchmark for (2977ds/30Mi)
% 17.00/3.23 % (513535)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2667862130:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2977 on theBenchmark for (2977ds/39Mi)
% 17.00/3.23 % (513534)Instruction limit reached!
% 17.00/3.23 % (513534)------------------------------
% 17.00/3.23 % (513534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/3.23 % (513534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/3.23 % (513534)CaDiCaL version: 2.1.3
% 17.00/3.23 % (513534)Termination reason: Instruction limit
% 17.00/3.23 % (513534)Termination phase: Saturation
% 17.00/3.23 % (513534)Time elapsed: 0.045 s
% 17.00/3.23 % (513534)Peak memory usage: 12 MB
% 17.00/3.23 % (513534)Instructions burned: 31 (million)
% 17.00/3.23 % (513535)Instruction limit reached!
% 17.00/3.23 % (513535)------------------------------
% 17.00/3.23 % (513535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/3.23 % (513535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/3.23 % (513535)CaDiCaL version: 2.1.3
% 17.00/3.23 % (513535)Termination reason: Instruction limit
% 17.00/3.23 % (513535)Termination phase: Saturation
% 17.00/3.23 % (513535)Time elapsed: 0.066 s
% 17.00/3.23 % (513535)Peak memory usage: 12 MB
% 17.00/3.23 % (513535)Instructions burned: 40 (million)
% 17.00/3.23 % (513539)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2782980632:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2976 on theBenchmark for (2976ds/365Mi)
% 17.00/3.23 % (513540)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=281314977:i=158:av=off:rtra=on_2976 on theBenchmark for (2976ds/158Mi)
% 17.00/3.23 % (513540)Instruction limit reached!
% 17.00/3.23 % (513540)------------------------------
% 17.00/3.23 % (513540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/3.23 % (513540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/3.23 % (513540)CaDiCaL version: 2.1.3
% 17.00/3.23 % (513540)Termination reason: Instruction limit
% 17.00/3.23 % (513540)Termination phase: Saturation
% 17.00/3.23 % (513540)Time elapsed: 0.131 s
% 17.00/3.23 % (513540)Peak memory usage: 12 MB
% 17.00/3.23 % (513540)Instructions burned: 159 (million)
% 17.00/3.23 % (513533)Instruction limit reached!
% 17.00/3.23 % (513533)------------------------------
% 17.00/3.23 % (513533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/3.23 % (513533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/3.23 % (513533)CaDiCaL version: 2.1.3
% 17.00/3.23 % (513533)Termination reason: Instruction limit
% 17.00/3.23 % (513533)Termination phase: Saturation
% 17.00/3.23 % (513533)Time elapsed: 0.309 s
% 17.00/3.23 % (513533)Peak memory usage: 13 MB
% 17.80/3.39 % (513533)Instructions burned: 271 (million)
% 17.80/3.39 % (513543)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 17.80/3.39 % (513528)Instruction limit reached!
% 17.80/3.39 % (513528)------------------------------
% 17.80/3.39 % (513528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.80/3.39 % (513528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.80/3.39 % (513528)CaDiCaL version: 2.1.3
% 17.80/3.39 % (513528)Termination reason: Instruction limit
% 17.80/3.39 % (513528)Termination phase: Saturation
% 17.80/3.39 % (513528)Time elapsed: 0.412 s
% 17.80/3.39 % (513528)Peak memory usage: 13 MB
% 17.80/3.39 % (513528)Instructions burned: 673 (million)
% 17.80/3.39 % (513543)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=4240237486:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/252Mi)
% 17.80/3.39 % (513544)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3733347954:i=213:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/213Mi)
% 17.80/3.39 % (513544)Refutation not found, incomplete strategy
% 17.80/3.39 % (513544)------------------------------
% 17.80/3.39 % (513544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.80/3.39 % (513544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.80/3.39 % (513544)CaDiCaL version: 2.1.3
% 17.80/3.39 % (513544)Termination reason: Refutation not found, incomplete strategy
% 17.80/3.39 % (513544)Time elapsed: 0.001 s
% 17.80/3.39 % (513544)Peak memory usage: 11 MB
% 17.80/3.39 % (513544)------------------------------
% 17.80/3.39 % (513544)------------------------------
% 17.80/3.39 % (513545)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=2885800994:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2974 on theBenchmark for (2974ds/160Mi)
% 17.80/3.39 % (513545)Refutation not found, incomplete strategy
% 17.80/3.39 % (513545)------------------------------
% 17.80/3.39 % (513545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.80/3.39 % (513545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.80/3.39 % (513545)CaDiCaL version: 2.1.3
% 17.80/3.39 % (513545)Termination reason: Refutation not found, incomplete strategy
% 17.80/3.39 % (513545)Time elapsed: 0.001 s
% 17.80/3.39 % (513545)Peak memory usage: 11 MB
% 17.80/3.39 % (513545)Instructions burned: 1 (million)
% 17.80/3.39 % (513545)------------------------------
% 17.80/3.39 % (513545)------------------------------
% 17.80/3.39 % (513548)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=681817885:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/763Mi)
% 17.80/3.39 % (513550)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 17.80/3.39 % (513550)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=3135353414:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2973 on theBenchmark for (2973ds/237Mi)
% 17.80/3.39 % (513550)Refutation not found, incomplete strategy
% 17.80/3.39 % (513550)------------------------------
% 17.80/3.39 % (513550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.80/3.39 % (513550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.80/3.39 % (513550)CaDiCaL version: 2.1.3
% 17.80/3.39 % (513550)Termination reason: Refutation not found, incomplete strategy
% 17.80/3.39 % (513550)Time elapsed: 0.0000 s
% 17.80/3.39 % (513550)Peak memory usage: 11 MB
% 17.80/3.39 % (513550)------------------------------
% 17.80/3.39 % (513550)------------------------------
% 17.80/3.39 % (513553)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=981331003:s2a=on:i=386:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/386Mi)
% 17.80/3.39 % (513539)Instruction limit reached!
% 17.80/3.39 % (513539)------------------------------
% 17.80/3.39 % (513539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.80/3.39 % (513539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.55 % (513539)CaDiCaL version: 2.1.3
% 18.78/3.55 % (513539)Termination reason: Instruction limit
% 18.78/3.55 % (513539)Termination phase: Saturation
% 18.78/3.55 % (513539)Time elapsed: 0.295 s
% 18.78/3.55 % (513539)Peak memory usage: 13 MB
% 18.78/3.55 % (513539)Instructions burned: 366 (million)
% 18.78/3.55 % (513555)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=536200689:i=300:piset=and:nm=32:rtra=on_2973 on theBenchmark for (2973ds/300Mi)
% 18.78/3.55 % (513543)Instruction limit reached!
% 18.78/3.55 % (513543)------------------------------
% 18.78/3.55 % (513543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.55 % (513543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.55 % (513543)CaDiCaL version: 2.1.3
% 18.78/3.55 % (513543)Termination reason: Instruction limit
% 18.78/3.55 % (513543)Termination phase: Saturation
% 18.78/3.55 % (513543)Time elapsed: 0.157 s
% 18.78/3.55 % (513543)Peak memory usage: 12 MB
% 18.78/3.55 % (513543)Instructions burned: 253 (million)
% 18.78/3.55 % (513557)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=754843524:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/567Mi)
% 18.78/3.55 % (513557)Refutation not found, incomplete strategy
% 18.78/3.55 % (513557)------------------------------
% 18.78/3.55 % (513557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.55 % (513557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.55 % (513557)CaDiCaL version: 2.1.3
% 18.78/3.55 % (513557)Termination reason: Refutation not found, incomplete strategy
% 18.78/3.55 % (513557)Time elapsed: 0.002 s
% 18.78/3.55 % (513557)Peak memory usage: 11 MB
% 18.78/3.55 % (513557)Instructions burned: 2 (million)
% 18.78/3.55 % (513557)------------------------------
% 18.78/3.55 % (513557)------------------------------
% 18.78/3.55 % (513559)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=910189239:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2972 on theBenchmark for (2972ds/379Mi)
% 18.78/3.55 % (513559)Refutation not found, incomplete strategy
% 18.78/3.55 % (513559)------------------------------
% 18.78/3.55 % (513559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.55 % (513559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.55 % (513559)CaDiCaL version: 2.1.3
% 18.78/3.55 % (513559)Termination reason: Refutation not found, incomplete strategy
% 18.78/3.55 % (513559)Time elapsed: 0.001 s
% 18.78/3.55 % (513559)Peak memory usage: 12 MB
% 18.78/3.55 % (513559)------------------------------
% 18.78/3.55 % (513559)------------------------------
% 18.78/3.55 % (513561)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2497576519:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2972 on theBenchmark for (2972ds/429Mi)
% 18.78/3.55 % (513553)Instruction limit reached!
% 18.78/3.55 % (513553)------------------------------
% 18.78/3.55 % (513553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.55 % (513553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.55 % (513553)CaDiCaL version: 2.1.3
% 18.78/3.55 % (513553)Termination reason: Instruction limit
% 18.78/3.55 % (513553)Termination phase: Saturation
% 18.78/3.55 % (513553)Time elapsed: 0.253 s
% 18.78/3.55 % (513553)Peak memory usage: 12 MB
% 18.78/3.55 % (513553)Instructions burned: 387 (million)
% 18.78/3.55 % (513512)Instruction limit reached!
% 18.78/3.55 % (513512)------------------------------
% 18.78/3.55 % (513512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.55 % (513512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.55 % (513512)CaDiCaL version: 2.1.3
% 18.78/3.55 % (513512)Termination reason: Instruction limit
% 18.78/3.55 % (513512)Termination phase: Saturation
% 18.78/3.55 % (513512)Time elapsed: 1.122 s
% 18.78/3.55 % (513512)Peak memory usage: 13 MB
% 18.78/3.55 % (513512)Instructions burned: 2189 (million)
% 18.78/3.55 % (513555)Instruction limit reached!
% 18.78/3.55 % (513555)------------------------------
% 18.78/3.55 % (513555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.55 % (513555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.55 % (513555)CaDiCaL version: 2.1.3
% 18.78/3.55 % (513555)Termination reason: Instruction limit
% 18.78/3.55 % (513555)Termination phase: Saturation
% 18.78/3.55 % (513555)Time elapsed: 0.226 s
% 18.78/3.55 % (513555)Peak memory usage: 12 MB
% 19.64/3.76 % (513555)Instructions burned: 300 (million)
% 19.64/3.76 % (513563)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3182573190:i=478:bd=all:rtra=on_2970 on theBenchmark for (2970ds/478Mi)
% 19.64/3.76 % (513563)Refutation not found, incomplete strategy
% 19.64/3.76 % (513563)------------------------------
% 19.64/3.76 % (513563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.64/3.76 % (513563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.76 % (513563)CaDiCaL version: 2.1.3
% 19.64/3.76 % (513563)Termination reason: Refutation not found, incomplete strategy
% 19.64/3.76 % (513563)Time elapsed: 0.001 s
% 19.64/3.76 % (513563)Peak memory usage: 12 MB
% 19.64/3.76 % (513563)Instructions burned: 1 (million)
% 19.64/3.76 % (513563)------------------------------
% 19.64/3.76 % (513563)------------------------------
% 19.64/3.76 % (513564)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2236552770:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2970 on theBenchmark for (2970ds/445Mi)
% 19.64/3.76 % (513565)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3856991608:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2970 on theBenchmark for (2970ds/71Mi)
% 19.64/3.76 % (513567)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2049145785:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/302Mi)
% 19.64/3.76 % (513567)Refutation not found, incomplete strategy
% 19.64/3.76 % (513567)------------------------------
% 19.64/3.76 % (513567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.64/3.76 % (513567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.76 % (513567)CaDiCaL version: 2.1.3
% 19.64/3.76 % (513567)Termination reason: Refutation not found, incomplete strategy
% 19.64/3.76 % (513567)Time elapsed: 0.004 s
% 19.64/3.76 % (513567)Peak memory usage: 11 MB
% 19.64/3.76 % (513567)------------------------------
% 19.64/3.76 % (513567)------------------------------
% 19.64/3.76 % (513571)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=4145545830:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2969 on theBenchmark for (2969ds/4980Mi)
% 19.64/3.76 % (513571)Refutation not found, incomplete strategy
% 19.64/3.76 % (513571)------------------------------
% 19.64/3.76 % (513571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.64/3.76 % (513571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.76 % (513571)CaDiCaL version: 2.1.3
% 19.64/3.76 % (513571)Termination reason: Refutation not found, incomplete strategy
% 19.64/3.76 % (513571)Time elapsed: 0.001 s
% 19.64/3.76 % (513571)Peak memory usage: 11 MB
% 19.64/3.76 % (513571)------------------------------
% 19.64/3.76 % (513571)------------------------------
% 19.64/3.76 % (513565)Instruction limit reached!
% 19.64/3.76 % (513565)------------------------------
% 19.64/3.76 % (513565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.64/3.76 % (513565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.76 % (513565)CaDiCaL version: 2.1.3
% 19.64/3.76 % (513565)Termination reason: Instruction limit
% 19.64/3.76 % (513565)Termination phase: Saturation
% 19.64/3.76 % (513565)Time elapsed: 0.075 s
% 19.64/3.76 % (513565)Peak memory usage: 12 MB
% 19.64/3.76 % (513565)Instructions burned: 71 (million)
% 19.64/3.76 % (513548)Instruction limit reached!
% 19.64/3.76 % (513548)------------------------------
% 19.64/3.76 % (513548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.64/3.76 % (513548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.64/3.76 % (513548)CaDiCaL version: 2.1.3
% 19.64/3.76 % (513548)Termination reason: Instruction limit
% 19.64/3.76 % (513548)Termination phase: Saturation
% 19.64/3.76 % (513548)Time elapsed: 0.452 s
% 19.64/3.76 % (513548)Peak memory usage: 14 MB
% 19.64/3.76 % (513548)Instructions burned: 763 (million)
% 19.64/3.76 % (513573)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 19.64/3.76 % (513573)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 19.64/3.76 % (513573)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1788050693:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2969 on theBenchmark for (2969ds/100Mi)
% 20.61/4.17 % (513574)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=1176014673:i=76:piset=equals:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/76Mi)
% 20.61/4.17 % (513575)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2512238008:i=289:rtra=on_2969 on theBenchmark for (2969ds/289Mi)
% 20.61/4.17 % (513575)Refutation not found, incomplete strategy
% 20.61/4.17 % (513575)------------------------------
% 20.61/4.17 % (513575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.61/4.17 % (513575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.61/4.17 % (513575)CaDiCaL version: 2.1.3
% 20.61/4.17 % (513575)Termination reason: Refutation not found, incomplete strategy
% 20.61/4.17 % (513575)Time elapsed: 0.001 s
% 20.61/4.17 % (513575)Peak memory usage: 11 MB
% 20.61/4.17 % (513575)Instructions burned: 1 (million)
% 20.61/4.17 % (513575)------------------------------
% 20.61/4.17 % (513575)------------------------------
% 20.61/4.17 % (513579)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=2833200779:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2968 on theBenchmark for (2968ds/493Mi)
% 20.61/4.17 % (513561)Instruction limit reached!
% 20.61/4.17 % (513561)------------------------------
% 20.61/4.17 % (513561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.61/4.17 % (513561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.61/4.17 % (513561)CaDiCaL version: 2.1.3
% 20.61/4.17 % (513561)Termination reason: Instruction limit
% 20.61/4.17 % (513561)Termination phase: Saturation
% 20.61/4.17 % (513561)Time elapsed: 0.351 s
% 20.61/4.17 % (513561)Peak memory usage: 13 MB
% 20.61/4.17 % (513561)Instructions burned: 430 (million)
% 20.61/4.17 % (513574)Instruction limit reached!
% 20.61/4.17 % (513574)------------------------------
% 20.61/4.17 % (513574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.61/4.17 % (513574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.61/4.17 % (513574)CaDiCaL version: 2.1.3
% 20.61/4.17 % (513574)Termination reason: Instruction limit
% 20.61/4.17 % (513574)Termination phase: Saturation
% 20.61/4.17 % (513574)Time elapsed: 0.061 s
% 20.61/4.17 % (513574)Peak memory usage: 12 MB
% 20.61/4.17 % (513574)Instructions burned: 76 (million)
% 20.61/4.17 % (513573)Instruction limit reached!
% 20.61/4.17 % (513573)------------------------------
% 20.61/4.17 % (513573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.61/4.17 % (513573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.61/4.17 % (513573)CaDiCaL version: 2.1.3
% 20.61/4.17 % (513573)Termination reason: Instruction limit
% 20.61/4.17 % (513573)Termination phase: Saturation
% 20.61/4.17 % (513573)Time elapsed: 0.077 s
% 20.61/4.17 % (513573)Peak memory usage: 12 MB
% 20.61/4.17 % (513573)Instructions burned: 100 (million)
% 20.61/4.17 % (513582)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 20.61/4.17 % (513581)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=2054784630:cond=on:i=34:hud=10:nm=10:rtra=on_2968 on theBenchmark for (2968ds/34Mi)
% 20.61/4.17 % (513583)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=1564814319:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2968 on theBenchmark for (2968ds/670Mi)
% 20.61/4.17 % (513582)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=1761229214:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2968 on theBenchmark for (2968ds/372Mi)
% 20.61/4.17 % (513582)Refutation not found, incomplete strategy
% 20.61/4.17 % (513582)------------------------------
% 20.61/4.17 % (513582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.61/4.17 % (513582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.61/4.17 % (513582)CaDiCaL version: 2.1.3
% 20.61/4.17 % (513582)Termination reason: Refutation not found, incomplete strategy
% 20.61/4.17 % (513582)Time elapsed: 0.010 s
% 23.29/4.32 % (513582)Peak memory usage: 12 MB
% 23.29/4.32 % (513582)Instructions burned: 3 (million)
% 23.29/4.32 % (513582)------------------------------
% 23.29/4.32 % (513582)------------------------------
% 23.29/4.32 % (513581)Instruction limit reached!
% 23.29/4.32 % (513581)------------------------------
% 23.29/4.32 % (513581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.29/4.32 % (513581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.29/4.32 % (513581)CaDiCaL version: 2.1.3
% 23.29/4.32 % (513581)Termination reason: Instruction limit
% 23.29/4.32 % (513581)Termination phase: Saturation
% 23.29/4.32 % (513581)Time elapsed: 0.030 s
% 23.29/4.32 % (513581)Peak memory usage: 12 MB
% 23.29/4.32 % (513581)Instructions burned: 34 (million)
% 23.29/4.32 % (513588)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=2057528848:i=857:add=off:kws=frequency:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/857Mi)
% 23.29/4.32 % (513587)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1823539520:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2967 on theBenchmark for (2967ds/647Mi)
% 23.29/4.32 % (513587)Refutation not found, incomplete strategy
% 23.29/4.32 % (513587)------------------------------
% 23.29/4.32 % (513587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.29/4.32 % (513587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.29/4.32 % (513587)CaDiCaL version: 2.1.3
% 23.29/4.32 % (513587)Termination reason: Refutation not found, incomplete strategy
% 23.29/4.32 % (513587)Time elapsed: 0.001 s
% 23.29/4.32 % (513587)Peak memory usage: 11 MB
% 23.29/4.32 % (513587)------------------------------
% 23.29/4.32 % (513587)------------------------------
% 23.29/4.32 % (513564)Instruction limit reached!
% 23.29/4.32 % (513564)------------------------------
% 23.29/4.32 % (513564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.29/4.32 % (513564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.29/4.32 % (513564)CaDiCaL version: 2.1.3
% 23.29/4.32 % (513564)Termination reason: Instruction limit
% 23.29/4.32 % (513564)Termination phase: Saturation
% 23.29/4.32 % (513564)Time elapsed: 0.411 s
% 23.29/4.32 % (513564)Peak memory usage: 14 MB
% 23.29/4.32 % (513564)Instructions burned: 445 (million)
% 23.29/4.32 % (513591)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=2775088531:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2966 on theBenchmark for (2966ds/693Mi)
% 23.29/4.32 % (513592)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=808489217:i=285:hud=10:bd=all:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/285Mi)
% 23.29/4.32 % (513592)Refutation not found, incomplete strategy
% 23.29/4.32 % (513592)------------------------------
% 23.29/4.32 % (513592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.29/4.32 % (513592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.29/4.32 % (513592)CaDiCaL version: 2.1.3
% 23.29/4.32 % (513592)Termination reason: Refutation not found, incomplete strategy
% 23.29/4.32 % (513592)Time elapsed: 0.005 s
% 23.29/4.32 % (513592)Peak memory usage: 11 MB
% 23.29/4.32 % (513592)Instructions burned: 1 (million)
% 23.29/4.32 % (513592)------------------------------
% 23.29/4.32 % (513592)------------------------------
% 23.29/4.32 % (513595)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 23.29/4.32 % (513595)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=1760446142:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2965 on theBenchmark for (2965ds/52Mi)
% 23.29/4.32 % (513595)Refutation not found, incomplete strategy
% 23.29/4.32 % (513595)------------------------------
% 23.29/4.32 % (513595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.29/4.32 % (513595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.29/4.32 % (513595)CaDiCaL version: 2.1.3
% 23.29/4.32 % (513595)Termination reason: Refutation not found, incomplete strategy
% 23.29/4.32 % (513595)Time elapsed: 0.011 s
% 23.29/4.32 % (513595)Peak memory usage: 12 MB
% 23.29/4.32 % (513595)Instructions burned: 6 (million)
% 23.29/4.32 % (513595)------------------------------
% 24.51/4.59 % (513595)------------------------------
% 24.51/4.59 % (513579)Instruction limit reached!
% 24.51/4.59 % (513579)------------------------------
% 24.51/4.59 % (513579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.51/4.59 % (513579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.59 % (513579)CaDiCaL version: 2.1.3
% 24.51/4.59 % (513579)Termination reason: Instruction limit
% 24.51/4.59 % (513579)Termination phase: Saturation
% 24.51/4.59 % (513579)Time elapsed: 0.352 s
% 24.51/4.59 % (513579)Peak memory usage: 13 MB
% 24.51/4.59 % (513579)Instructions burned: 494 (million)
% 24.51/4.59 % (513597)dis+10_1_si=on:random_seed=2359577230:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2965 on theBenchmark for (2965ds/407Mi)
% 24.51/4.59 % (513597)Refutation not found, incomplete strategy
% 24.51/4.59 % (513597)------------------------------
% 24.51/4.59 % (513597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.51/4.59 % (513597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.59 % (513597)CaDiCaL version: 2.1.3
% 24.51/4.59 % (513597)Termination reason: Refutation not found, incomplete strategy
% 24.51/4.59 % (513597)Time elapsed: 0.001 s
% 24.51/4.59 % (513597)Peak memory usage: 11 MB
% 24.51/4.59 % (513597)------------------------------
% 24.51/4.59 % (513597)------------------------------
% 24.51/4.59 % (513598)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=3864957808:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/2240Mi)
% 24.51/4.59 % (513600)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=707910475:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2965 on theBenchmark for (2965ds/336Mi)
% 24.51/4.59 % (513600)Refutation not found, incomplete strategy
% 24.51/4.59 % (513600)------------------------------
% 24.51/4.59 % (513600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.51/4.59 % (513600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.59 % (513600)CaDiCaL version: 2.1.3
% 24.51/4.59 % (513600)Termination reason: Refutation not found, incomplete strategy
% 24.51/4.59 % (513600)Time elapsed: 0.001 s
% 24.51/4.59 % (513600)Peak memory usage: 11 MB
% 24.51/4.59 % (513600)------------------------------
% 24.51/4.59 % (513600)------------------------------
% 24.51/4.59 % (513603)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=3517977581:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2964 on theBenchmark for (2964ds/1142Mi)
% 24.51/4.59 % (513583)Instruction limit reached!
% 24.51/4.59 % (513583)------------------------------
% 24.51/4.59 % (513583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.51/4.59 % (513583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.59 % (513583)CaDiCaL version: 2.1.3
% 24.51/4.59 % (513583)Termination reason: Instruction limit
% 24.51/4.59 % (513583)Termination phase: Saturation
% 24.51/4.59 % (513583)Time elapsed: 0.535 s
% 24.51/4.59 % (513583)Peak memory usage: 12 MB
% 24.51/4.59 % (513583)Instructions burned: 671 (million)
% 24.51/4.59 % (513591)Instruction limit reached!
% 24.51/4.59 % (513591)------------------------------
% 24.51/4.59 % (513591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.51/4.59 % (513591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.59 % (513591)CaDiCaL version: 2.1.3
% 24.51/4.59 % (513591)Termination reason: Instruction limit
% 24.51/4.59 % (513591)Termination phase: Saturation
% 24.51/4.59 % (513591)Time elapsed: 0.438 s
% 24.51/4.59 % (513591)Peak memory usage: 12 MB
% 24.51/4.59 % (513591)Instructions burned: 694 (million)
% 24.51/4.59 % (513605)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=830631719:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2962 on theBenchmark for (2962ds/376Mi)
% 24.51/4.59 % (513605)Refutation not found, incomplete strategy
% 24.51/4.59 % (513605)------------------------------
% 24.51/4.59 % (513605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.51/4.59 % (513605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.59 % (513605)CaDiCaL version: 2.1.3
% 24.51/4.59 % (513605)Termination reason: Refutation not found, incomplete strategy
% 24.51/4.59 % (513605)Time elapsed: 0.009 s
% 24.51/4.59 % (513605)Peak memory usage: 11 MB
% 24.51/4.59 % (513605)------------------------------
% 24.51/4.59 % (513605)------------------------------
% 24.51/4.59 % (513588)Instruction limit reached!
% 25.20/4.79 % (513588)------------------------------
% 25.20/4.79 % (513588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.20/4.79 % (513588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.20/4.79 % (513588)CaDiCaL version: 2.1.3
% 25.20/4.79 % (513588)Termination reason: Instruction limit
% 25.20/4.79 % (513588)Termination phase: Saturation
% 25.20/4.79 % (513588)Time elapsed: 0.553 s
% 25.20/4.79 % (513588)Peak memory usage: 12 MB
% 25.20/4.79 % (513588)Instructions burned: 858 (million)
% 25.20/4.79 % (513606)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1170373464:i=766:bd=all:rtra=on_2961 on theBenchmark for (2961ds/766Mi)
% 25.20/4.79 % (513608)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 25.20/4.79 % (513606)Refutation not found, incomplete strategy
% 25.20/4.79 % (513606)------------------------------
% 25.20/4.79 % (513606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.20/4.79 % (513606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.20/4.79 % (513606)CaDiCaL version: 2.1.3
% 25.20/4.79 % (513606)Termination reason: Refutation not found, incomplete strategy
% 25.20/4.79 % (513606)Time elapsed: 0.005 s
% 25.20/4.79 % (513606)Peak memory usage: 12 MB
% 25.20/4.79 % (513606)Instructions burned: 1 (million)
% 25.20/4.79 % (513606)------------------------------
% 25.20/4.79 % (513606)------------------------------
% 25.20/4.79 % (513608)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=3045846611: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_2961 on theBenchmark for (2961ds/959Mi)
% 25.20/4.79 % (513608)Refutation not found, incomplete strategy
% 25.20/4.79 % (513608)------------------------------
% 25.20/4.79 % (513608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.20/4.79 % (513608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.20/4.79 % (513608)CaDiCaL version: 2.1.3
% 25.20/4.79 % (513608)Termination reason: Refutation not found, incomplete strategy
% 25.20/4.79 % (513608)Time elapsed: 0.016 s
% 25.20/4.79 % (513608)Peak memory usage: 11 MB
% 25.20/4.79 % (513608)------------------------------
% 25.20/4.79 % (513608)------------------------------
% 25.20/4.79 % (513609)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=795369497:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2961 on theBenchmark for (2961ds/6359Mi)
% 25.20/4.79 % (513611)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2161274646:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2961 on theBenchmark for (2961ds/35Mi)
% 25.20/4.79 % (513611)Refutation not found, incomplete strategy
% 25.20/4.79 % (513611)------------------------------
% 25.20/4.79 % (513611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.20/4.79 % (513611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.20/4.79 % (513611)CaDiCaL version: 2.1.3
% 25.20/4.79 % (513611)Termination reason: Refutation not found, incomplete strategy
% 25.20/4.79 % (513611)Time elapsed: 0.0000 s
% 25.20/4.79 % (513611)Peak memory usage: 11 MB
% 25.20/4.79 % (513611)------------------------------
% 25.20/4.79 % (513611)------------------------------
% 25.20/4.79 % (513613)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1421872970:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2960 on theBenchmark for (2960ds/53Mi)
% 25.20/4.79 % (513616)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=678710512:s2a=on:i=876:s2at=6:nm=2:rtra=on_2960 on theBenchmark for (2960ds/876Mi)
% 25.20/4.79 % (513613)Instruction limit reached!
% 25.20/4.79 % (513613)------------------------------
% 25.20/4.79 % (513613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.20/4.79 % (513613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.20/4.79 % (513613)CaDiCaL version: 2.1.3
% 25.20/4.79 % (513613)Termination reason: Instruction limit
% 25.20/4.79 % (513613)Termination phase: Saturation
% 25.20/4.79 % (513613)Time elapsed: 0.059 s
% 25.20/4.79 % (513613)Peak memory usage: 12 MB
% 25.20/4.79 % (513613)Instructions burned: 53 (million)
% 26.19/4.91 % (513619)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1783372405:i=57:ep=R:rtra=on:ntd=on_2959 on theBenchmark for (2959ds/57Mi)
% 26.19/4.91 % (513527)Instruction limit reached!
% 26.19/4.91 % (513527)------------------------------
% 26.19/4.91 % (513527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.19/4.91 % (513527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/4.91 % (513527)CaDiCaL version: 2.1.3
% 26.19/4.91 % (513527)Termination reason: Instruction limit
% 26.19/4.91 % (513527)Termination phase: Saturation
% 26.19/4.91 % (513527)Time elapsed: 1.914 s
% 26.19/4.91 % (513527)Peak memory usage: 16 MB
% 26.19/4.91 % (513527)Instructions burned: 2470 (million)
% 26.19/4.91 % (513619)Instruction limit reached!
% 26.19/4.91 % (513619)------------------------------
% 26.19/4.91 % (513619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.19/4.91 % (513619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/4.91 % (513619)CaDiCaL version: 2.1.3
% 26.19/4.91 % (513619)Termination reason: Instruction limit
% 26.19/4.91 % (513619)Termination phase: Saturation
% 26.19/4.91 % (513619)Time elapsed: 0.027 s
% 26.19/4.91 % (513619)Peak memory usage: 12 MB
% 26.19/4.91 % (513619)Instructions burned: 57 (million)
% 26.19/4.91 % (513622)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=361959532:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2959 on theBenchmark for (2959ds/262Mi)
% 26.19/4.91 % (513622)Refutation not found, incomplete strategy
% 26.19/4.91 % (513622)------------------------------
% 26.19/4.91 % (513622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.19/4.91 % (513622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/4.91 % (513622)CaDiCaL version: 2.1.3
% 26.19/4.91 % (513622)Termination reason: Refutation not found, incomplete strategy
% 26.19/4.91 % (513622)Time elapsed: 0.001 s
% 26.19/4.91 % (513622)Peak memory usage: 11 MB
% 26.19/4.91 % (513621)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 26.19/4.91 % (513622)------------------------------
% 26.19/4.91 % (513622)------------------------------
% 26.19/4.91 % (513621)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=425884778:i=306:bd=all:rtra=on_2959 on theBenchmark for (2959ds/306Mi)
% 26.19/4.91 % (513621)Refutation not found, incomplete strategy
% 26.19/4.91 % (513621)------------------------------
% 26.19/4.91 % (513621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.19/4.91 % (513621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/4.91 % (513621)CaDiCaL version: 2.1.3
% 26.19/4.91 % (513621)Termination reason: Refutation not found, incomplete strategy
% 26.19/4.91 % (513621)Time elapsed: 0.002 s
% 26.19/4.91 % (513621)Peak memory usage: 12 MB
% 26.19/4.91 % (513621)Instructions burned: 1 (million)
% 26.19/4.91 % (513621)------------------------------
% 26.19/4.91 % (513621)------------------------------
% 26.19/4.91 % (513624)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 26.19/4.91 % (513624)ott+1002_16_sil=128000:si=on:random_seed=2396361490:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2958 on theBenchmark for (2958ds/409Mi)
% 26.19/4.91 % (513626)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=821618873:s2a=on:i=381:rtra=on_2958 on theBenchmark for (2958ds/381Mi)
% 26.19/4.91 % (513603)Instruction limit reached!
% 26.19/4.91 % (513603)------------------------------
% 26.19/4.91 % (513603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.19/4.91 % (513603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/4.91 % (513603)CaDiCaL version: 2.1.3
% 26.19/4.91 % (513603)Termination reason: Instruction limit
% 26.19/4.91 % (513603)Termination phase: Saturation
% 26.19/4.91 % (513603)Time elapsed: 0.717 s
% 26.19/4.91 % (513603)Peak memory usage: 14 MB
% 26.19/4.91 % (513603)Instructions burned: 1142 (million)
% 26.19/4.91 % (513624)Instruction limit reached!
% 26.19/4.91 % (513624)------------------------------
% 26.19/4.91 % (513624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.19/4.91 % (513624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/4.91 % (513624)CaDiCaL version: 2.1.3
% 26.19/4.91 % (513624)Termination reason: Instruction limit
% 27.39/5.06 % (513624)Termination phase: Saturation
% 27.39/5.06 % (513624)Time elapsed: 0.167 s
% 27.39/5.06 % (513624)Peak memory usage: 13 MB
% 27.39/5.06 % (513624)Instructions burned: 410 (million)
% 27.39/5.06 % (513629)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=187858581:cond=on:i=324:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/324Mi)
% 27.39/5.06 % (513630)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=455666236:i=240:kws=inv_precedence:rtra=on_2957 on theBenchmark for (2957ds/240Mi)
% 27.39/5.06 % (513630)Refutation not found, incomplete strategy
% 27.39/5.06 % (513630)------------------------------
% 27.39/5.06 % (513630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.39/5.06 % (513630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/5.06 % (513630)CaDiCaL version: 2.1.3
% 27.39/5.06 % (513630)Termination reason: Refutation not found, incomplete strategy
% 27.39/5.06 % (513630)Time elapsed: 0.001 s
% 27.39/5.06 % (513630)Peak memory usage: 12 MB
% 27.39/5.06 % (513630)Instructions burned: 1 (million)
% 27.39/5.06 % (513630)------------------------------
% 27.39/5.06 % (513630)------------------------------
% 27.39/5.06 % (513598)Instruction limit reached!
% 27.39/5.06 % (513598)------------------------------
% 27.39/5.06 % (513598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.39/5.06 % (513598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/5.06 % (513598)CaDiCaL version: 2.1.3
% 27.39/5.06 % (513598)Termination reason: Instruction limit
% 27.39/5.06 % (513598)Termination phase: Saturation
% 27.39/5.06 % (513598)Time elapsed: 0.855 s
% 27.39/5.06 % (513598)Peak memory usage: 17 MB
% 27.39/5.06 % (513598)Instructions burned: 2244 (million)
% 27.39/5.06 % (513633)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 27.39/5.06 % (513633)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1990310136:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2956 on theBenchmark for (2956ds/124Mi)
% 27.39/5.06 % (513633)Refutation not found, incomplete strategy
% 27.39/5.06 % (513633)------------------------------
% 27.39/5.06 % (513633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.39/5.07 % (513633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/5.07 % (513633)CaDiCaL version: 2.1.3
% 27.39/5.07 % (513633)Termination reason: Refutation not found, incomplete strategy
% 27.39/5.07 % (513633)Time elapsed: 0.005 s
% 27.39/5.07 % (513633)Peak memory usage: 12 MB
% 27.39/5.07 % (513633)Instructions burned: 9 (million)
% 27.39/5.07 % (513633)------------------------------
% 27.39/5.07 % (513633)------------------------------
% 27.39/5.07 % (513634)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=496810982:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2956 on theBenchmark for (2956ds/223Mi)
% 27.39/5.07 % (513636)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=277626461:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2956 on theBenchmark for (2956ds/282Mi)
% 27.39/5.07 % (513626)Instruction limit reached!
% 27.39/5.07 % (513626)------------------------------
% 27.39/5.07 % (513626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.39/5.07 % (513626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/5.07 % (513626)CaDiCaL version: 2.1.3
% 27.39/5.07 % (513626)Termination reason: Instruction limit
% 27.39/5.07 % (513626)Termination phase: Saturation
% 27.39/5.07 % (513626)Time elapsed: 0.282 s
% 27.39/5.07 % (513626)Peak memory usage: 12 MB
% 27.39/5.07 % (513626)Instructions burned: 381 (million)
% 27.39/5.07 % (513634)Instruction limit reached!
% 27.39/5.07 % (513634)------------------------------
% 27.39/5.07 % (513634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.39/5.07 % (513634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/5.07 % (513634)CaDiCaL version: 2.1.3
% 27.39/5.07 % (513634)Termination reason: Instruction limit
% 27.39/5.07 % (513634)Termination phase: Saturation
% 27.39/5.07 % (513634)Time elapsed: 0.073 s
% 27.39/5.07 % (513634)Peak memory usage: 13 MB
% 27.39/5.07 % (513634)Instructions burned: 225 (million)
% 27.39/5.07 % (513639)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=4127436507:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2955 on theBenchmark for (2955ds/464Mi)
% 27.39/5.07 % (513639)Refutation not found, incomplete strategy
% 30.68/5.43 % (513639)------------------------------
% 30.68/5.43 % (513639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.68/5.43 % (513639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.68/5.43 % (513639)CaDiCaL version: 2.1.3
% 30.68/5.43 % (513639)Termination reason: Refutation not found, incomplete strategy
% 30.68/5.43 % (513639)Time elapsed: 0.006 s
% 30.68/5.43 % (513639)Peak memory usage: 11 MB
% 30.68/5.43 % (513639)Instructions burned: 1 (million)
% 30.68/5.43 % (513639)------------------------------
% 30.68/5.43 % (513639)------------------------------
% 30.68/5.43 % (513640)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=1673334775:i=88:s2at=3:nm=2:rtra=on:rawr=on_2955 on theBenchmark for (2955ds/88Mi)
% 30.68/5.43 % (513642)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3620834442:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2955 on theBenchmark for (2955ds/280Mi)
% 30.68/5.43 % (513629)Instruction limit reached!
% 30.68/5.43 % (513629)------------------------------
% 30.68/5.43 % (513629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.68/5.43 % (513629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.68/5.43 % (513629)CaDiCaL version: 2.1.3
% 30.68/5.43 % (513629)Termination reason: Instruction limit
% 30.68/5.43 % (513629)Termination phase: Saturation
% 30.68/5.43 % (513629)Time elapsed: 0.235 s
% 30.68/5.43 % (513629)Peak memory usage: 12 MB
% 30.68/5.43 % (513629)Instructions burned: 324 (million)
% 30.68/5.43 % (513640)Instruction limit reached!
% 30.68/5.43 % (513640)------------------------------
% 30.68/5.43 % (513640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.68/5.43 % (513640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.68/5.43 % (513640)CaDiCaL version: 2.1.3
% 30.68/5.43 % (513640)Termination reason: Instruction limit
% 30.68/5.43 % (513640)Termination phase: Saturation
% 30.68/5.43 % (513640)Time elapsed: 0.042 s
% 30.68/5.43 % (513640)Peak memory usage: 13 MB
% 30.68/5.43 % (513640)Instructions burned: 90 (million)
% 30.68/5.43 % (513645)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 30.68/5.43 % (513645)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2548835660:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2954 on theBenchmark for (2954ds/4386Mi)
% 30.68/5.43 % (513646)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 30.68/5.43 % (513646)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 30.68/5.43 % (513646)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=230223148:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2954 on theBenchmark for (2954ds/483Mi)
% 30.68/5.43 % (513646)Refutation not found, incomplete strategy
% 30.68/5.43 % (513646)------------------------------
% 30.68/5.43 % (513646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.68/5.43 % (513646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.68/5.43 % (513646)CaDiCaL version: 2.1.3
% 30.68/5.43 % (513646)Termination reason: Refutation not found, incomplete strategy
% 30.68/5.43 % (513646)Time elapsed: 0.001 s
% 30.68/5.43 % (513646)Peak memory usage: 12 MB
% 30.68/5.43 % (513646)------------------------------
% 30.68/5.43 % (513646)------------------------------
% 30.68/5.43 % (513649)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1420301766:i=73:rtra=on_2954 on theBenchmark for (2954ds/73Mi)
% 30.68/5.43 % (513649)Refutation not found, incomplete strategy
% 30.68/5.43 % (513649)------------------------------
% 30.68/5.43 % (513649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.68/5.43 % (513649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.68/5.43 % (513649)CaDiCaL version: 2.1.3
% 30.68/5.43 % (513649)Termination reason: Refutation not found, incomplete strategy
% 30.68/5.43 % (513649)Time elapsed: 0.001 s
% 30.68/5.43 % (513649)Peak memory usage: 12 MB
% 30.68/5.43 % (513649)Instructions burned: 1 (million)
% 30.68/5.43 % (513649)------------------------------
% 32.19/5.75 % (513649)------------------------------
% 32.19/5.75 % (513636)Instruction limit reached!
% 32.19/5.75 % (513636)------------------------------
% 32.19/5.75 % (513636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/5.75 % (513636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/5.75 % (513636)CaDiCaL version: 2.1.3
% 32.19/5.75 % (513636)Termination reason: Instruction limit
% 32.19/5.75 % (513636)Termination phase: Saturation
% 32.19/5.75 % (513636)Time elapsed: 0.235 s
% 32.19/5.75 % (513636)Peak memory usage: 13 MB
% 32.19/5.75 % (513636)Instructions burned: 282 (million)
% 32.19/5.75 % (513651)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=123727647:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2953 on theBenchmark for (2953ds/176Mi)
% 32.19/5.75 % (513642)Instruction limit reached!
% 32.19/5.75 % (513642)------------------------------
% 32.19/5.75 % (513642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/5.75 % (513642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/5.75 % (513642)CaDiCaL version: 2.1.3
% 32.19/5.75 % (513642)Termination reason: Instruction limit
% 32.19/5.75 % (513642)Termination phase: Saturation
% 32.19/5.75 % (513642)Time elapsed: 0.124 s
% 32.19/5.75 % (513642)Peak memory usage: 13 MB
% 32.19/5.75 % (513642)Instructions burned: 281 (million)
% 32.19/5.75 % (513652)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 32.19/5.75 % (513652)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2154606436:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2953 on theBenchmark for (2953ds/39Mi)
% 32.19/5.75 % (513654)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=276412724:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2953 on theBenchmark for (2953ds/708Mi)
% 32.19/5.75 % (513616)Instruction limit reached!
% 32.19/5.75 % (513616)------------------------------
% 32.19/5.75 % (513616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/5.75 % (513616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/5.75 % (513616)CaDiCaL version: 2.1.3
% 32.19/5.75 % (513616)Termination reason: Instruction limit
% 32.19/5.75 % (513616)Termination phase: Saturation
% 32.19/5.75 % (513616)Time elapsed: 0.667 s
% 32.19/5.75 % (513616)Peak memory usage: 13 MB
% 32.19/5.75 % (513616)Instructions burned: 876 (million)
% 32.19/5.75 % (513652)Instruction limit reached!
% 32.19/5.75 % (513652)------------------------------
% 32.19/5.75 % (513652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/5.75 % (513652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/5.75 % (513652)CaDiCaL version: 2.1.3
% 32.19/5.75 % (513652)Termination reason: Instruction limit
% 32.19/5.75 % (513652)Termination phase: Saturation
% 32.19/5.75 % (513652)Time elapsed: 0.034 s
% 32.19/5.75 % (513652)Peak memory usage: 12 MB
% 32.19/5.75 % (513657)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
% 32.19/5.75 % (513652)Instructions burned: 40 (million)
% 32.19/5.75 % (513657)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=1403485339:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2953 on theBenchmark for (2953ds/252Mi)
% 32.19/5.75 % (513651)Instruction limit reached!
% 32.19/5.75 % (513651)------------------------------
% 32.19/5.75 % (513651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.19/5.75 % (513651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.19/5.75 % (513651)CaDiCaL version: 2.1.3
% 32.19/5.75 % (513651)Termination reason: Instruction limit
% 32.19/5.75 % (513651)Termination phase: Saturation
% 32.19/5.75 % (513651)Time elapsed: 0.073 s
% 32.19/5.75 % (513651)Peak memory usage: 12 MB
% 32.19/5.75 % (513651)Instructions burned: 177 (million)
% 32.19/5.75 % (513660)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 32.19/5.75 % (513658)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=1472907718:i=823:fsr=off:rtra=on_2953 on theBenchmark for (2953ds/823Mi)
% 32.19/5.75 % (513660)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=452476657:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2952 on theBenchmark for (2952ds/16202Mi)
% 33.24/5.94 % (513660)Refutation not found, incomplete strategy
% 33.24/5.94 % (513660)------------------------------
% 33.24/5.94 % (513660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.24/5.94 % (513660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.24/5.94 % (513660)CaDiCaL version: 2.1.3
% 33.24/5.94 % (513660)Termination reason: Refutation not found, incomplete strategy
% 33.24/5.94 % (513660)Time elapsed: 0.009 s
% 33.24/5.94 % (513660)Peak memory usage: 11 MB
% 33.24/5.94 % (513660)Instructions burned: 2 (million)
% 33.24/5.94 % (513660)------------------------------
% 33.24/5.94 % (513660)------------------------------
% 33.24/5.94 % (513663)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=1217728655:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2952 on theBenchmark for (2952ds/300Mi)
% 33.24/5.94 % (513657)Instruction limit reached!
% 33.24/5.94 % (513657)------------------------------
% 33.24/5.94 % (513657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.24/5.94 % (513657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.24/5.94 % (513657)CaDiCaL version: 2.1.3
% 33.24/5.94 % (513657)Termination reason: Instruction limit
% 33.24/5.94 % (513657)Termination phase: Saturation
% 33.24/5.94 % (513657)Time elapsed: 0.283 s
% 33.24/5.94 % (513657)Peak memory usage: 12 MB
% 33.24/5.94 % (513657)Instructions burned: 253 (million)
% 33.24/5.94 % (513665)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 33.24/5.94 % (513665)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 33.24/5.94 % (513665)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=635214049:i=177:add=on:bd=preordered:rtra=on:rawr=on_2950 on theBenchmark for (2950ds/177Mi)
% 33.24/5.94 % (513663)Instruction limit reached!
% 33.24/5.94 % (513663)------------------------------
% 33.24/5.94 % (513663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.24/5.94 % (513663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.24/5.94 % (513663)CaDiCaL version: 2.1.3
% 33.24/5.94 % (513663)Termination reason: Instruction limit
% 33.24/5.94 % (513663)Termination phase: Saturation
% 33.24/5.94 % (513663)Time elapsed: 0.244 s
% 33.24/5.94 % (513663)Peak memory usage: 12 MB
% 33.24/5.94 % (513663)Instructions burned: 301 (million)
% 33.24/5.94 % (513667)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=4172454471:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2949 on theBenchmark for (2949ds/715Mi)
% 33.24/5.94 % (513667)Refutation not found, incomplete strategy
% 33.24/5.94 % (513667)------------------------------
% 33.24/5.94 % (513667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.24/5.94 % (513667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.24/5.94 % (513667)CaDiCaL version: 2.1.3
% 33.24/5.94 % (513667)Termination reason: Refutation not found, incomplete strategy
% 33.24/5.94 % (513667)Time elapsed: 0.002 s
% 33.24/5.94 % (513667)Peak memory usage: 11 MB
% 33.24/5.94 % (513667)Instructions burned: 2 (million)
% 33.24/5.94 % (513667)------------------------------
% 33.24/5.94 % (513667)------------------------------
% 33.24/5.94 % (513665)Instruction limit reached!
% 33.24/5.94 % (513665)------------------------------
% 33.24/5.94 % (513665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.24/5.94 % (513665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.24/5.94 % (513665)CaDiCaL version: 2.1.3
% 33.24/5.94 % (513665)Termination reason: Instruction limit
% 33.24/5.94 % (513665)Termination phase: Saturation
% 33.24/5.94 % (513665)Time elapsed: 0.117 s
% 33.24/5.94 % (513665)Peak memory usage: 13 MB
% 33.24/5.94 % (513665)Instructions burned: 178 (million)
% 33.24/5.94 % (513654)Instruction limit reached!
% 33.24/5.94 % (513654)------------------------------
% 33.24/5.94 % (513654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.24/5.94 % (513654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.24/5.94 % (513654)CaDiCaL version: 2.1.3
% 33.24/5.94 % (513654)Termination reason: Instruction limit
% 33.24/5.94 % (513654)Termination phase: Saturation
% 33.24/5.94 % (513654)Time elapsed: 0.473 s
% 35.03/6.18 % (513654)Peak memory usage: 14 MB
% 35.03/6.18 % (513654)Instructions burned: 708 (million)
% 35.03/6.18 % (513669)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 35.03/6.18 % (513669)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 35.03/6.18 % (513669)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=30355847:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2948 on theBenchmark for (2948ds/230Mi)
% 35.03/6.18 % (513669)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 35.03/6.18 % (513670)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3760892878:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2948 on theBenchmark for (2948ds/606Mi)
% 35.03/6.18 % (513671)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 35.03/6.18 % (513671)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2342018880:lrd=on:i=841:nm=0:rtra=on_2948 on theBenchmark for (2948ds/841Mi)
% 35.03/6.18 % (513658)Instruction limit reached!
% 35.03/6.18 % (513658)------------------------------
% 35.03/6.18 % (513658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.03/6.18 % (513658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.03/6.18 % (513658)CaDiCaL version: 2.1.3
% 35.03/6.18 % (513658)Termination reason: Instruction limit
% 35.03/6.18 % (513658)Termination phase: Saturation
% 35.03/6.18 % (513658)Time elapsed: 0.459 s
% 35.03/6.18 % (513658)Peak memory usage: 13 MB
% 35.03/6.18 % (513658)Instructions burned: 826 (million)
% 35.03/6.18 % (513675)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2573142319:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2947 on theBenchmark for (2947ds/445Mi)
% 35.03/6.18 % (513669)Instruction limit reached!
% 35.03/6.18 % (513669)------------------------------
% 35.03/6.18 % (513669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.03/6.18 % (513669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.03/6.18 % (513669)CaDiCaL version: 2.1.3
% 35.03/6.18 % (513669)Termination reason: Instruction limit
% 35.03/6.18 % (513669)Termination phase: Saturation
% 35.03/6.18 % (513669)Time elapsed: 0.181 s
% 35.03/6.18 % (513669)Peak memory usage: 13 MB
% 35.03/6.18 % (513669)Instructions burned: 230 (million)
% 35.03/6.18 % (513677)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2611284692:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2946 on theBenchmark for (2946ds/71Mi)
% 35.03/6.18 % (513677)Instruction limit reached!
% 35.03/6.18 % (513677)------------------------------
% 35.03/6.18 % (513677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.03/6.18 % (513677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.03/6.18 % (513677)CaDiCaL version: 2.1.3
% 35.03/6.18 % (513677)Termination reason: Instruction limit
% 35.03/6.18 % (513677)Termination phase: Saturation
% 35.03/6.18 % (513677)Time elapsed: 0.037 s
% 35.03/6.18 % (513677)Peak memory usage: 12 MB
% 35.03/6.18 % (513677)Instructions burned: 72 (million)
% 35.03/6.18 % (513679)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
% 35.03/6.18 % (513679)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 35.03/6.18 % (513679)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=258051168:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2946 on theBenchmark for (2946ds/100Mi)
% 35.03/6.18 % (513679)Instruction limit reached!
% 35.03/6.18 % (513679)------------------------------
% 35.03/6.18 % (513679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.03/6.18 % (513679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.03/6.18 % (513679)CaDiCaL version: 2.1.3
% 35.03/6.18 % (513679)Termination reason: Instruction limit
% 35.03/6.29 % (513679)Termination phase: Saturation
% 35.03/6.29 % (513679)Time elapsed: 0.040 s
% 35.03/6.29 % (513679)Peak memory usage: 12 MB
% 35.03/6.29 % (513679)Instructions burned: 101 (million)
% 35.03/6.29 % (513681)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 35.03/6.29 % (513681)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=3110971718:i=1352:add=on:aac=none:rtra=on_2945 on theBenchmark for (2945ds/1352Mi)
% 35.03/6.29 % (513681)Refutation not found, incomplete strategy
% 35.03/6.29 % (513681)------------------------------
% 35.03/6.29 % (513681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.03/6.29 % (513681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.03/6.29 % (513681)CaDiCaL version: 2.1.3
% 35.03/6.29 % (513681)Termination reason: Refutation not found, incomplete strategy
% 35.03/6.29 % (513681)Time elapsed: 0.004 s
% 35.03/6.29 % (513681)Peak memory usage: 12 MB
% 35.03/6.29 % (513681)Instructions burned: 3 (million)
% 35.03/6.29 % (513681)------------------------------
% 35.03/6.29 % (513681)------------------------------
% 35.03/6.29 % (513683)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=829092099:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2945 on theBenchmark for (2945ds/646Mi)
% 35.03/6.29 % (513675)Instruction limit reached!
% 35.03/6.29 % (513675)------------------------------
% 35.03/6.29 % (513675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.03/6.29 % (513675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.03/6.29 % (513675)CaDiCaL version: 2.1.3
% 35.03/6.29 % (513675)Termination reason: Instruction limit
% 35.03/6.29 % (513675)Termination phase: Saturation
% 35.03/6.29 % (513675)Time elapsed: 0.314 s
% 35.03/6.29 % (513675)Peak memory usage: 14 MB
% 35.03/6.29 % (513675)Instructions burned: 445 (million)
% 35.03/6.29 % (513685)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=1503773357:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2944 on theBenchmark for (2944ds/1924Mi)
% 35.03/6.29 % (513685)Refutation not found, incomplete strategy
% 35.03/6.29 % (513685)------------------------------
% 35.03/6.29 % (513685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.03/6.29 % (513685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.03/6.29 % (513685)CaDiCaL version: 2.1.3
% 35.03/6.29 % (513685)Termination reason: Refutation not found, incomplete strategy
% 35.03/6.29 % (513685)Time elapsed: 0.005 s
% 35.03/6.29 % (513685)Peak memory usage: 11 MB
% 35.03/6.29 % (513685)------------------------------
% 35.03/6.29 % (513685)------------------------------
% 35.03/6.29 % (513670)Instruction limit reached!
% 35.03/6.29 % (513670)------------------------------
% 35.03/6.29 % (513670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.03/6.29 % (513670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.03/6.29 % (513670)CaDiCaL version: 2.1.3
% 35.03/6.29 % (513670)Termination reason: Instruction limit
% 35.03/6.29 % (513670)Termination phase: Saturation
% 35.03/6.29 % (513670)Time elapsed: 0.448 s
% 35.03/6.29 % (513670)Peak memory usage: 12 MB
% 35.03/6.29 % (513670)Instructions burned: 607 (million)
% 35.03/6.29 % (513687)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2799420064:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2944 on theBenchmark for (2944ds/984Mi)
% 35.03/6.29 % (513687)Refutation not found, incomplete strategy
% 35.03/6.29 % (513687)------------------------------
% 35.03/6.29 % (513687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.03/6.29 % (513687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.03/6.29 % (513687)CaDiCaL version: 2.1.3
% 35.03/6.29 % (513687)Termination reason: Refutation not found, incomplete strategy
% 35.03/6.29 % (513687)Time elapsed: 0.002 s
% 35.03/6.29 % (513687)Peak memory usage: 12 MB
% 35.03/6.29 % (513687)Instructions burned: 1 (million)
% 35.03/6.29 % (513687)------------------------------
% 35.03/6.29 % (513687)------------------------------
% 35.03/6.29 % (513688)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=1380778354:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2943 on theBenchmark for (2943ds/592Mi)
% 38.53/6.70 % (513690)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1243494657:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2943 on theBenchmark for (2943ds/872Mi)
% 38.53/6.70 % (513690)Refutation not found, incomplete strategy
% 38.53/6.70 % (513690)------------------------------
% 38.53/6.70 % (513690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.53/6.70 % (513690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.70 % (513690)CaDiCaL version: 2.1.3
% 38.53/6.70 % (513690)Termination reason: Refutation not found, incomplete strategy
% 38.53/6.70 % (513690)Time elapsed: 0.001 s
% 38.53/6.70 % (513690)Peak memory usage: 11 MB
% 38.53/6.70 % (513690)------------------------------
% 38.53/6.70 % (513690)------------------------------
% 38.53/6.70 % (513693)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 38.53/6.70 % (513693)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=2416905945:i=999:add=on:rtra=on_2943 on theBenchmark for (2943ds/999Mi)
% 38.53/6.70 % (513671)Instruction limit reached!
% 38.53/6.70 % (513671)------------------------------
% 38.53/6.70 % (513671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.53/6.70 % (513671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.70 % (513671)CaDiCaL version: 2.1.3
% 38.53/6.70 % (513671)Termination reason: Instruction limit
% 38.53/6.70 % (513671)Termination phase: Saturation
% 38.53/6.70 % (513671)Time elapsed: 0.611 s
% 38.53/6.70 % (513671)Peak memory usage: 13 MB
% 38.53/6.70 % (513671)Instructions burned: 841 (million)
% 38.53/6.70 % (513695)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 38.53/6.70 % (513695)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=2099634164:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2942 on theBenchmark for (2942ds/244Mi)
% 38.53/6.70 % (513695)Refutation not found, incomplete strategy
% 38.53/6.70 % (513695)------------------------------
% 38.53/6.70 % (513695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.53/6.70 % (513695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.70 % (513695)CaDiCaL version: 2.1.3
% 38.53/6.70 % (513695)Termination reason: Refutation not found, incomplete strategy
% 38.53/6.70 % (513695)Time elapsed: 0.003 s
% 38.53/6.70 % (513695)Peak memory usage: 12 MB
% 38.53/6.70 % (513695)Instructions burned: 3 (million)
% 38.53/6.70 % (513695)------------------------------
% 38.53/6.70 % (513695)------------------------------
% 38.53/6.70 % (513697)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2317557325:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2941 on theBenchmark for (2941ds/113Mi)
% 38.53/6.70 % (513697)Refutation not found, incomplete strategy
% 38.53/6.70 % (513697)------------------------------
% 38.53/6.70 % (513697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.53/6.70 % (513697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.70 % (513697)CaDiCaL version: 2.1.3
% 38.53/6.70 % (513697)Termination reason: Refutation not found, incomplete strategy
% 38.53/6.70 % (513697)Time elapsed: 0.001 s
% 38.53/6.70 % (513697)Peak memory usage: 12 MB
% 38.53/6.70 % (513697)Instructions burned: 1 (million)
% 38.53/6.70 % (513697)------------------------------
% 38.53/6.70 % (513697)------------------------------
% 38.53/6.70 % (513699)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1416082682:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2941 on theBenchmark for (2941ds/7795Mi)
% 38.53/6.70 % (513699)Refutation not found, incomplete strategy
% 38.53/6.70 % (513699)------------------------------
% 38.53/6.70 % (513699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.53/6.70 % (513699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.70 % (513699)CaDiCaL version: 2.1.3
% 38.53/6.70 % (513699)Termination reason: Refutation not found, incomplete strategy
% 38.53/6.70 % (513699)Time elapsed: 0.001 s
% 38.53/6.70 % (513699)Peak memory usage: 11 MB
% 38.53/6.70 % (513699)------------------------------
% 38.53/6.70 % (513699)------------------------------
% 38.53/6.70 % (513701)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1886722951:st=2:i=5026:sd=1:rtra=on:ss=axioms_2941 on theBenchmark for (2941ds/5026Mi)
% 39.77/6.86 % (513701)Refutation not found, incomplete strategy
% 39.77/6.86 % (513701)------------------------------
% 39.77/6.86 % (513701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.77/6.86 % (513701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.77/6.86 % (513701)CaDiCaL version: 2.1.3
% 39.77/6.86 % (513701)Termination reason: Refutation not found, incomplete strategy
% 39.77/6.86 % (513701)Time elapsed: 0.0000 s
% 39.77/6.86 % (513701)Peak memory usage: 11 MB
% 39.77/6.86 % (513701)------------------------------
% 39.77/6.86 % (513701)------------------------------
% 39.77/6.86 % (513683)Instruction limit reached!
% 39.77/6.86 % (513683)------------------------------
% 39.77/6.86 % (513683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.77/6.86 % (513683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.77/6.86 % (513683)CaDiCaL version: 2.1.3
% 39.77/6.86 % (513683)Termination reason: Instruction limit
% 39.77/6.86 % (513683)Termination phase: Saturation
% 39.77/6.86 % (513683)Time elapsed: 0.371 s
% 39.77/6.86 % (513683)Peak memory usage: 14 MB
% 39.77/6.86 % (513683)Instructions burned: 646 (million)
% 39.77/6.86 % (513703)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 39.77/6.86 % (513688)Instruction limit reached!
% 39.77/6.86 % (513688)------------------------------
% 39.77/6.86 % (513688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.77/6.86 % (513688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.77/6.86 % (513688)CaDiCaL version: 2.1.3
% 39.77/6.86 % (513688)Termination reason: Instruction limit
% 39.77/6.86 % (513688)Termination phase: Saturation
% 39.77/6.86 % (513688)Time elapsed: 0.256 s
% 39.77/6.86 % (513688)Peak memory usage: 12 MB
% 39.77/6.86 % (513688)Instructions burned: 593 (million)
% 39.77/6.86 % (513703)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=1056837131:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2941 on theBenchmark for (2941ds/763Mi)
% 39.77/6.86 % (513703)Refutation not found, incomplete strategy
% 39.77/6.86 % (513703)------------------------------
% 39.77/6.86 % (513703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.77/6.86 % (513703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.77/6.86 % (513703)CaDiCaL version: 2.1.3
% 39.77/6.86 % (513703)Termination reason: Refutation not found, incomplete strategy
% 39.77/6.86 % (513703)Time elapsed: 0.001 s
% 39.77/6.86 % (513703)Peak memory usage: 11 MB
% 39.77/6.86 % (513703)Instructions burned: 1 (million)
% 39.77/6.86 % (513703)------------------------------
% 39.77/6.86 % (513703)------------------------------
% 39.77/6.86 % (513704)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2901448280:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2941 on theBenchmark for (2941ds/1144Mi)
% 39.77/6.86 % (513704)Refutation not found, incomplete strategy
% 39.77/6.86 % (513704)------------------------------
% 39.77/6.86 % (513704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.77/6.86 % (513704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.77/6.86 % (513704)CaDiCaL version: 2.1.3
% 39.77/6.86 % (513704)Termination reason: Refutation not found, incomplete strategy
% 39.77/6.86 % (513704)Time elapsed: 0.001 s
% 39.77/6.86 % (513704)Peak memory usage: 11 MB
% 39.77/6.86 % (513704)------------------------------
% 39.77/6.86 % (513704)------------------------------
% 39.77/6.86 % (513706)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 39.77/6.86 % (513706)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=1100469625:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2940 on theBenchmark for (2940ds/52Mi)
% 39.77/6.86 % (513707)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=821106501:i=1724:fsr=off:rtra=on:fe=abstraction_2940 on theBenchmark for (2940ds/1724Mi)
% 39.77/6.86 % (513709)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=1776209543:i=439:add=on:slsql=off:rtra=on:ntd=on_2940 on theBenchmark for (2940ds/439Mi)
% 43.94/7.41 % (513706)Instruction limit reached!
% 43.94/7.41 % (513706)------------------------------
% 43.94/7.41 % (513706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.94/7.41 % (513706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.94/7.41 % (513706)CaDiCaL version: 2.1.3
% 43.94/7.41 % (513706)Termination reason: Instruction limit
% 43.94/7.41 % (513706)Termination phase: Saturation
% 43.94/7.41 % (513706)Time elapsed: 0.054 s
% 43.94/7.41 % (513706)Peak memory usage: 12 MB
% 43.94/7.41 % (513706)Instructions burned: 52 (million)
% 43.94/7.41 % (513713)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2779775256:i=6395:sd=1:rtra=on:ss=axioms_2939 on theBenchmark for (2939ds/6395Mi)
% 43.94/7.41 % (513713)Refutation not found, incomplete strategy
% 43.94/7.41 % (513713)------------------------------
% 43.94/7.41 % (513713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.94/7.41 % (513713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.94/7.41 % (513713)CaDiCaL version: 2.1.3
% 43.94/7.41 % (513713)Termination reason: Refutation not found, incomplete strategy
% 43.94/7.41 % (513713)Time elapsed: 0.005 s
% 43.94/7.41 % (513713)Peak memory usage: 11 MB
% 43.94/7.41 % (513713)------------------------------
% 43.94/7.41 % (513713)------------------------------
% 43.94/7.41 % (513715)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 43.94/7.41 % (513715)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=792299584:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2939 on theBenchmark for (2939ds/6762Mi)
% 43.94/7.41 % (513715)Refutation not found, incomplete strategy
% 43.94/7.41 % (513715)------------------------------
% 43.94/7.41 % (513715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.94/7.41 % (513715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.94/7.41 % (513715)CaDiCaL version: 2.1.3
% 43.94/7.41 % (513715)Termination reason: Refutation not found, incomplete strategy
% 43.94/7.41 % (513715)Time elapsed: 0.005 s
% 43.94/7.41 % (513715)Peak memory usage: 11 MB
% 43.94/7.41 % (513715)------------------------------
% 43.94/7.41 % (513715)------------------------------
% 43.94/7.41 % (513717)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 43.94/7.41 % (513717)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=1569043524:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2938 on theBenchmark for (2938ds/376Mi)
% 43.94/7.41 % (513709)Instruction limit reached!
% 43.94/7.41 % (513709)------------------------------
% 43.94/7.41 % (513709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.94/7.41 % (513709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.94/7.41 % (513709)CaDiCaL version: 2.1.3
% 43.94/7.41 % (513709)Termination reason: Instruction limit
% 43.94/7.41 % (513709)Termination phase: Saturation
% 43.94/7.41 % (513709)Time elapsed: 0.290 s
% 43.94/7.41 % (513709)Peak memory usage: 13 MB
% 43.94/7.41 % (513709)Instructions burned: 440 (million)
% 43.94/7.41 % (513719)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=2088010779:i=965:bd=all:ins=4:rtra=on_2937 on theBenchmark for (2937ds/965Mi)
% 43.94/7.41 % (513717)Instruction limit reached!
% 43.94/7.41 % (513717)------------------------------
% 43.94/7.41 % (513717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.94/7.41 % (513717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.94/7.41 % (513717)CaDiCaL version: 2.1.3
% 43.94/7.41 % (513717)Termination reason: Instruction limit
% 43.94/7.41 % (513717)Termination phase: Saturation
% 43.94/7.41 % (513717)Time elapsed: 0.227 s
% 43.94/7.41 % (513717)Peak memory usage: 14 MB
% 43.94/7.41 % (513717)Instructions burned: 378 (million)
% 43.94/7.41 % (513721)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1091086067:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2936 on theBenchmark for (2936ds/5013Mi)
% 43.94/7.41 % (513721)Refutation not found, incomplete strategy
% 43.94/7.41 % (513721)------------------------------
% 43.94/7.41 % (513721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.94/7.41 % (513721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.94/7.41 % (513721)CaDiCaL version: 2.1.3
% 43.94/7.41 % (513721)Termination reason: Refutation not found, incomplete strategy
% 43.94/7.41 % (513721)Time elapsed: 0.0000 s
% 43.94/7.41 % (513721)Peak memory usage: 11 MB
% 43.94/7.41 % (513721)------------------------------
% 43.94/7.41 % (513721)------------------------------
% 43.94/7.41 % (513723)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3854376015:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2936 on theBenchmark for (2936ds/1583Mi)
% 43.94/7.41 % (513693)Instruction limit reached!
% 43.94/7.41 % (513693)------------------------------
% 43.94/7.41 % (513693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.94/7.41 % (513693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.94/7.41 % (513693)CaDiCaL version: 2.1.3
% 43.94/7.41 % (513693)Termination reason: Instruction limit
% 43.94/7.41 % (513693)Termination phase: Saturation
% 43.94/7.41 % (513693)Time elapsed: 0.735 s
% 43.94/7.41 % (513693)Peak memory usage: 14 MB
% 43.94/7.41 % (513693)Instructions burned: 1000 (million)
% 43.94/7.41 % (513725)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 43.94/7.41 % (513725)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 43.94/7.41 % (513725)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 43.94/7.41 % (513725)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 43.94/7.41 % (513725)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=4148752826:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2935 on theBenchmark for (2935ds/1774Mi)
% 43.94/7.41 % (513725)Refutation not found, incomplete strategy
% 43.94/7.41 % (513725)------------------------------
% 43.94/7.41 % (513725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.94/7.41 % (513725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.94/7.41 % (513725)CaDiCaL version: 2.1.3
% 43.94/7.41 % (513725)Termination reason: Refutation not found, incomplete strategy
% 43.94/7.41 % (513725)Time elapsed: 0.001 s
% 43.94/7.41 % (513725)Peak memory usage: 11 MB
% 43.94/7.41 % (513725)------------------------------
% 43.94/7.41 % (513725)------------------------------
% 43.94/7.41 % (513727)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1538989063:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2935 on theBenchmark for (2935ds/515Mi)
% 43.94/7.41 % (513727)Refutation not found, incomplete strategy
% 43.94/7.41 % (513727)------------------------------
% 43.94/7.41 % (513727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.94/7.41 % (513727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.94/7.41 % (513727)CaDiCaL version: 2.1.3
% 43.94/7.41 % (513727)Termination reason: Refutation not found, incomplete strategy
% 43.94/7.41 % (513727)Time elapsed: 0.001 s
% 43.94/7.41 % (513727)Peak memory usage: 12 MB
% 43.94/7.41 % (513727)Instructions burned: 1 (million)
% 43.94/7.41 % (513727)------------------------------
% 43.94/7.41 % (513727)------------------------------
% 43.94/7.41 % (513460)Instruction limit reached!
% 43.94/7.41 % (513460)------------------------------
% 43.94/7.41 % (513460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.94/7.41 % (513460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.94/7.41 % (513460)CaDiCaL version: 2.1.3
% 43.94/7.41 % (513460)Termination reason: Instruction limit
% 43.94/7.41 % (513460)Termination phase: Saturation
% 43.94/7.41 % (513460)Time elapsed: 5.311 s
% 43.94/7.41 % (513460)Peak memory usage: 17 MB
% 43.94/7.41 % (513460)Instructions burned: 9841 (million)
% 43.94/7.41 % (513729)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 43.94/7.41 % (513729)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=1451766732:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2934 on theBenchmark for (2934ds/1297Mi)
% 43.94/7.41 % (513730)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=1905225753:s2a=on:i=611:rtra=on:gsp=on_2934 on theBenchmark for (2934ds/611Mi)
% 43.94/7.41 % (513730)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 43.94/7.41 % (513730)Instruction limit reached!
% 43.94/7.41 % (513730)------------------------------
% 43.94/7.41 % (513730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.94/7.41 % (513730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.94/7.41 % (513730)CaDiCaL version: 2.1.3
% 43.94/7.41 % (513730)Termination reason: Instruction limit
% 43.94/7.41 % (513730)Termination phase: Saturation
% 43.94/7.41 % (513730)Time elapsed: 0.402 s
% 43.94/7.41 % (513730)Peak memory usage: 13 MB
% 43.94/7.41 % (513730)Instructions burned: 611 (million)
% 43.94/7.41 % (513733)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 43.94/7.41 % (513733)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2835826444:i=72:bd=all:rtra=on_2930 on theBenchmark for (2930ds/72Mi)
% 43.94/7.41 % (513719)Instruction limit reached!
% 43.94/7.41 % (513719)------------------------------
% 43.94/7.41 % (513719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.94/7.41 % (513719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.94/7.41 % (513719)CaDiCaL version: 2.1.3
% 43.94/7.41 % (513719)Termination reason: Instruction limit
% 43.94/7.41 % (513719)Termination phase: Saturation
% 43.94/7.41 % (513719)Time elapsed: 0.686 s
% 43.94/7.41 % (513719)Peak memory usage: 16 MB
% 43.94/7.41 % (513719)Instructions burned: 966 (million)
% 43.94/7.41 % (513733)Refutation not found, incomplete strategy
% 43.94/7.41 % (513733)------------------------------
% 43.94/7.41 % (513733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.94/7.41 % (513733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.94/7.41 % (513733)CaDiCaL version: 2.1.3
% 43.94/7.41 % (513733)Termination reason: Refutation not found, incomplete strategy
% 43.94/7.41 % (513733)Time elapsed: 0.008 s
% 43.94/7.41 % (513733)Peak memory usage: 12 MB
% 43.94/7.41 % (513733)Instructions burned: 1 (million)
% 43.94/7.41 % (513733)------------------------------
% 43.94/7.41 % (513733)------------------------------
% 43.94/7.41 % (513609) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-513290-513609"...
% 43.94/7.41 % (513735)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=2020198343:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2929 on theBenchmark for (2929ds/6580Mi)
% 43.94/7.41 % (513736)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=467812352:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2929 on theBenchmark for (2929ds/6209Mi)
% 43.94/7.41 % (513736)Refutation not found, incomplete strategy
% 43.94/7.41 % (513736)------------------------------
% 43.94/7.41 % (513736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.94/7.41 % (513736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.94/7.41 % (513736)CaDiCaL version: 2.1.3
% 43.94/7.41 % (513736)Termination reason: Refutation not found, incomplete strategy
% 43.94/7.41 % (513736)Time elapsed: 0.001 s
% 43.94/7.41 % (513736)Peak memory usage: 11 MB
% 43.94/7.41 % (513736)------------------------------
% 43.94/7.41 % (513736)------------------------------
% 43.94/7.41 % (513609)...printing done.
% 43.94/7.41 % (513609)Refutation found. Thanks to Tanya!
% 43.94/7.41 % SZS status Unsatisfiable for theBenchmark
% 43.94/7.41 % SZS output start Proof for theBenchmark
% See solution above
% 43.94/7.44 % (513609)------------------------------
% 43.94/7.44 % (513609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.94/7.44 % (513609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.94/7.44 % (513609)CaDiCaL version: 2.1.3
% 43.94/7.44 % (513609)Termination reason: Refutation
% 43.94/7.44 % (513609)Time elapsed: 3.169 s
% 43.94/7.44 % (513609)Peak memory usage: 20 MB
% 43.94/7.44 % (513609)Instructions burned: 3919 (million)
% 43.94/7.44 % (513290)Success in time 7.118 s
% 43.94/7.44 % Vampire exiting
%------------------------------------------------------------------------------