%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA166^1 : 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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:02:05 AM UTC 2026
% Result : Unsatisfiable 25.45s 4.64s
% Output : Refutation 25.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 111
% Syntax : Number of formulae : 1372 ( 33 unt; 0 typ; 104 def)
% Number of atoms : 10531 (1918 equ; 0 cnn)
% Maximal formula atoms : 10 ( 7 avg)
% Number of connectives : 14154 (3161 ~;3296 |; 0 &;7593 @)
% ( 104 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 112 ( 109 usr; 107 con; 0-2 aty)
% Number of variables : 530 ( 0 sgn 530 !; 0 ?; 530 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( r @ X0 @ X1 )
| ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X2: $i,X1: $i,X0: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X1 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X1: $i,X0: $i,X2: $i,X4: $i,X3: $i] :
( ~ ( b @ X2 @ X4 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X1 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r @ X2 @ X1 )
| ~ ( r @ X2 @ X0 )
| ~ ( r @ X1 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f13,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X2 @ X3 )
| ~ ( b @ X1 @ X0 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X4 @ X3 )
| ~ ( b @ X0 @ X4 ) ),
inference(rectify,[],[f7]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( ( b @ X0 @ X4 )
!= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( r @ X0 @ X1 )
| ( b @ X0 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f17,plain,
! [X1: $i,X0: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X1: $i,X2: $i,X0: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true ) ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X1: $i,X3: $i,X4: $i,X2: $i,X0: $i] :
( ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ),
inference(flattening,[],[f15]) ).
thf(f22,plain,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) ),
inference(rectify,[],[f18]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true ) ),
inference(rectify,[],[f17]) ).
thf(f25,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X4 @ X2 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( ( b @ X0 @ X4 )
!= $true ) ),
inference(rectify,[],[f21]) ).
thf(f26,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
inference(rectify,[],[f22]) ).
thf(f27,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( ( r @ X1 @ X0 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f29,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f30,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X3 ) )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X4 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f31,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f32,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f33,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f36,plain,
! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f28,f29]) ).
thf(f37,plain,
! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f28,f29]) ).
thf(f38,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f28,f31]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X3 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X3 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f30,f36]) ).
thf(f44,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X2 )
!= $true )
| ( ( b @ z @ X3 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f43]) ).
thf(f48,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ ( s @ X0 ) @ X3 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true ) ),
inference(constrained_superposition,[],[f30,f37]) ).
thf(f50,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f58,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f50,f37]) ).
thf(f61,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(duplicate_literal_removal,[],[f58]) ).
thf(f62,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ z @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f61]) ).
thf(f64,definition,
( spl0_3
<=> ! [X2: $i] :
( ( b @ z @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f65,plain,
( ! [X2: $i] :
( ( b @ z @ X2 )
!= $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f64]) ).
thf(f67,definition,
( spl0_4
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f68,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f69,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f62,f67,f64]) ).
thf(f71,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f65,f28]) ).
thf(f72,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f71]) ).
thf(f78,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f27,f72]) ).
thf(f80,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( z = X0 )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f78]) ).
thf(f83,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( z = X1 ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f80,f72]) ).
thf(f84,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f83]) ).
thf(f86,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f38,f31]) ).
thf(f88,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f38,f29]) ).
thf(f89,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f38,f29]) ).
thf(f98,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X3 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(constrained_superposition,[],[f30,f88]) ).
thf(f101,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X3 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f98]) ).
thf(f102,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(constrained_superposition,[],[f101,f88]) ).
thf(f106,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f102]) ).
thf(f107,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f106]) ).
thf(f112,definition,
( spl0_5
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f113,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f115,definition,
( spl0_6
<=> ! [X1: $i] :
( ( b @ ( s @ z ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f116,plain,
( ! [X1: $i] :
( ( b @ ( s @ z ) @ X1 )
!= $true )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f117,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f107,f115,f112]) ).
thf(f125,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f44,f89]) ).
thf(f127,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X3 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f30,f89]) ).
thf(f129,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X3 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f127]) ).
thf(f130,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f125]) ).
thf(f141,definition,
( spl0_7
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f142,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f141]) ).
thf(f148,definition,
( spl0_9
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f149,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f148]) ).
thf(f151,definition,
( spl0_10
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f152,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f151]) ).
thf(f157,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f142,f88]) ).
thf(f158,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f157]) ).
thf(f189,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f86,f29]) ).
thf(f190,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f86,f29]) ).
thf(f210,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f113,f189]) ).
thf(f211,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f30,f189]) ).
thf(f212,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X3 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f211]) ).
thf(f216,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f210]) ).
thf(f220,definition,
( spl0_11
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f221,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f220]) ).
thf(f227,definition,
( spl0_13
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f228,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_13 ),
inference(avatar_component_clause,[],[f227]) ).
thf(f230,definition,
( spl0_14
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f231,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
thf(f233,definition,
( spl0_15
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f234,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f233]) ).
thf(f237,definition,
( spl0_16
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f238,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f237]) ).
thf(f240,definition,
( spl0_17
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f241,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f240]) ).
thf(f242,plain,
( spl0_16
| spl0_17
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f216,f112,f240,f237]) ).
thf(f250,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f116,f89]) ).
thf(f255,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f250]) ).
thf(f262,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(constrained_superposition,[],[f84,f255]) ).
thf(f264,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f262]) ).
thf(f268,plain,
( ! [X0: $i] :
( z
= ( s @ ( s @ X0 ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f264,f29]) ).
thf(f273,plain,
( $false
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f268,f29]) ).
thf(f274,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f273]) ).
thf(f282,definition,
( spl0_20
<=> ( ( s @ ( s @ z ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f283,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f282]) ).
thf(f285,definition,
( spl0_21
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f286,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f285]) ).
thf(f290,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_13 ),
inference(constrained_superposition,[],[f228,f88]) ).
thf(f295,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f290]) ).
thf(f298,plain,
( spl0_17
| spl0_13 ),
inference(avatar_split_clause,[],[f295,f227,f240]) ).
thf(f309,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f238,f88]) ).
thf(f314,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f309]) ).
thf(f316,plain,
( spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f314,f237,f233]) ).
thf(f329,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f212,f189]) ).
thf(f339,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f329]) ).
thf(f340,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f339]) ).
thf(f343,definition,
( spl0_22
<=> ! [X2: $i] :
( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f344,plain,
( ! [X2: $i] :
( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f343]) ).
thf(f346,definition,
( spl0_23
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f347,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f346]) ).
thf(f348,plain,
( spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f340,f346,f343]) ).
thf(f349,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f344,f88]) ).
thf(f351,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f344,f37]) ).
thf(f354,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f349]) ).
thf(f358,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f351]) ).
thf(f359,plain,
( spl0_17
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f354,f343,f240]) ).
thf(f363,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_17 ),
inference(constrained_superposition,[],[f84,f241]) ).
thf(f367,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_3
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f363]) ).
thf(f370,plain,
( ( z
= ( s @ z ) )
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f367,f29]) ).
thf(f375,plain,
( $false
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f370,f29]) ).
thf(f376,plain,
( ~ spl0_3
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f375]) ).
thf(f378,definition,
( spl0_24
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f379,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f378]) ).
thf(f385,definition,
( spl0_26
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f386,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_26 ),
inference(avatar_component_clause,[],[f385]) ).
thf(f388,definition,
( spl0_27
<=> ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f389,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f388]) ).
thf(f406,definition,
( spl0_32
<=> ( ( r @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f407,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f406]) ).
thf(f409,definition,
( spl0_33
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f410,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f409]) ).
thf(f411,plain,
( spl0_32
| spl0_33 ),
inference(avatar_split_clause,[],[f130,f409,f406]) ).
thf(f413,definition,
( spl0_34
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f414,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f413]) ).
thf(f416,definition,
( spl0_35
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f417,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_35 ),
inference(avatar_component_clause,[],[f416]) ).
thf(f420,plain,
( spl0_27
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f358,f343,f388]) ).
thf(f426,definition,
( spl0_37
<=> ( ( r @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f427,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f426]) ).
thf(f443,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f27,f407]) ).
thf(f444,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f443]) ).
thf(f447,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| spl0_26 ),
inference(constrained_superposition,[],[f386,f37]) ).
thf(f449,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_26 ),
inference(trivial_inequality_removal,[],[f447]) ).
thf(f451,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_35 ),
inference(constrained_superposition,[],[f417,f36]) ).
thf(f453,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_35 ),
inference(trivial_inequality_removal,[],[f451]) ).
thf(f512,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f347,f36]) ).
thf(f515,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f347,f89]) ).
thf(f517,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f515]) ).
thf(f520,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f512]) ).
thf(f521,plain,
( spl0_11
| ~ spl0_14
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f517,f346,f230,f220]) ).
thf(f665,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ z ) )
| spl0_20 ),
inference(avatar_component_clause,[],[f282]) ).
thf(f719,definition,
( spl0_48
<=> ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f720,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_48 ),
inference(avatar_component_clause,[],[f719]) ).
thf(f721,plain,
( ~ spl0_48
| spl0_24
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f520,f346,f378,f719]) ).
thf(f722,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f27,f389]) ).
thf(f723,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f722]) ).
thf(f729,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f68,f28]) ).
thf(f731,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f68,f38]) ).
thf(f740,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= X0 )
| ( ( r @ ( s @ X1 ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f729]) ).
thf(f742,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f731]) ).
thf(f921,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_21 ),
inference(avatar_component_clause,[],[f285]) ).
thf(f956,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( s @ X1 )
= X0 )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f740,f28]) ).
thf(f957,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f740,f37]) ).
thf(f958,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( z = X0 )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f956]) ).
thf(f959,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ X1 ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f957]) ).
thf(f1248,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f152,f88]) ).
thf(f1252,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f1248]) ).
thf(f1267,definition,
( spl0_63
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
thf(f1268,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_63 ),
inference(avatar_component_clause,[],[f1267]) ).
thf(f1307,definition,
( spl0_64
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
thf(f1308,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_64 ),
inference(avatar_component_clause,[],[f1307]) ).
thf(f1317,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f742,f37]) ).
thf(f1319,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1317]) ).
thf(f1328,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_4 ),
inference(extensionality_resolution,[],[f1319,f29]) ).
thf(f1329,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_4 ),
inference(extensionality_resolution,[],[f1319,f29]) ).
thf(f1662,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f723,f190]) ).
thf(f1663,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f27,f190]) ).
thf(f1665,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f1663]) ).
thf(f1667,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1662]) ).
thf(f1889,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f116,f89]) ).
thf(f1890,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f116,f37]) ).
thf(f1893,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1889]) ).
thf(f1895,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1890]) ).
thf(f1897,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| spl0_63 ),
inference(constrained_superposition,[],[f1268,f37]) ).
thf(f1900,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_63 ),
inference(trivial_inequality_removal,[],[f1897]) ).
thf(f1905,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_17
| ~ spl0_27 ),
inference(constrained_superposition,[],[f723,f241]) ).
thf(f1910,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_17
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1905]) ).
thf(f1916,plain,
( $false
| ~ spl0_17
| ~ spl0_27
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1910,f427]) ).
thf(f1917,plain,
( ~ spl0_17
| ~ spl0_27
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1916]) ).
thf(f1920,plain,
( spl0_37
| spl0_26 ),
inference(avatar_split_clause,[],[f449,f385,f426]) ).
thf(f1921,plain,
( spl0_37
| spl0_9
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1329,f67,f148,f426]) ).
thf(f1926,plain,
( spl0_34
| spl0_37
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1328,f67,f426,f413]) ).
thf(f1929,definition,
( spl0_73
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f1930,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f1929]) ).
thf(f1937,plain,
( spl0_37
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1895,f115,f426]) ).
thf(f1949,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_37 ),
inference(constrained_superposition,[],[f27,f427]) ).
thf(f1950,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f1949]) ).
thf(f1951,plain,
( ( $true != $true )
| ~ spl0_6
| spl0_21 ),
inference(constrained_superposition,[],[f921,f1893]) ).
thf(f1955,plain,
( $false
| ~ spl0_6
| spl0_21 ),
inference(trivial_inequality_removal,[],[f1951]) ).
thf(f1956,plain,
( ~ spl0_6
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f1955]) ).
thf(f1958,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_17 ),
inference(avatar_component_clause,[],[f240]) ).
thf(f2040,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f89,f283]) ).
thf(f2114,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
thf(f2116,definition,
( spl0_78
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
thf(f2117,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f2116]) ).
thf(f2123,definition,
( spl0_79
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
thf(f2124,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f2123]) ).
thf(f2126,definition,
( spl0_80
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f2127,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f2126]) ).
thf(f2130,definition,
( spl0_81
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
thf(f2131,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f2130]) ).
thf(f2133,definition,
( spl0_82
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
thf(f2134,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f2133]) ).
thf(f2141,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f2040,f32]) ).
thf(f2144,definition,
( spl0_83
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f2145,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f2144]) ).
thf(f2147,definition,
( spl0_84
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
thf(f2148,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f2147]) ).
thf(f2153,definition,
( spl0_85
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
thf(f2154,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_85 ),
inference(avatar_component_clause,[],[f2153]) ).
thf(f2172,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f2141,f33]) ).
thf(f2173,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f2172]) ).
thf(f2179,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_4
| spl0_20 ),
inference(extensionality_resolution,[],[f1319,f665]) ).
thf(f2180,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_4
| spl0_20 ),
inference(extensionality_resolution,[],[f1319,f665]) ).
thf(f2190,definition,
( spl0_86
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
thf(f2191,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f2190]) ).
thf(f2193,definition,
( spl0_87
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
thf(f2194,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f2193]) ).
thf(f2197,definition,
( spl0_88
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
thf(f2198,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f2197]) ).
thf(f2200,definition,
( spl0_89
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
thf(f2201,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f2200]) ).
thf(f2203,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_21
| ~ spl0_37 ),
inference(constrained_superposition,[],[f1950,f286]) ).
thf(f2204,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f27,f286]) ).
thf(f2205,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_21
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f2203]) ).
thf(f2206,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f2204]) ).
thf(f2207,plain,
( $false
| ~ spl0_21
| ~ spl0_27
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f2205,f389]) ).
thf(f2208,plain,
( ~ spl0_21
| ~ spl0_27
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f2207]) ).
thf(f2209,plain,
( spl0_78
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f2206,f285,f2116]) ).
thf(f2239,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f30,f2114]) ).
thf(f2240,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f2239]) ).
thf(f2258,definition,
( spl0_92
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
thf(f2259,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_92 ),
inference(avatar_component_clause,[],[f2258]) ).
thf(f2262,definition,
( spl0_93
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
thf(f2263,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_93 ),
inference(avatar_component_clause,[],[f2262]) ).
thf(f2265,definition,
( spl0_94
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
thf(f2266,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f2265]) ).
thf(f2269,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_93 ),
inference(constrained_superposition,[],[f2263,f190]) ).
thf(f2273,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_93 ),
inference(trivial_inequality_removal,[],[f2269]) ).
thf(f2276,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_10
| spl0_93 ),
inference(constrained_superposition,[],[f1252,f2273]) ).
thf(f2284,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_5
| spl0_93 ),
inference(constrained_superposition,[],[f113,f2273]) ).
thf(f2299,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_10
| spl0_93 ),
inference(trivial_inequality_removal,[],[f2276]) ).
thf(f2300,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_5
| spl0_93 ),
inference(trivial_inequality_removal,[],[f2284]) ).
thf(f2307,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_10
| spl0_17
| spl0_93 ),
inference(forward_subsumption_resolution,[],[f2299,f1958]) ).
thf(f2308,plain,
( spl0_83
| ~ spl0_13
| ~ spl0_5
| spl0_93 ),
inference(avatar_split_clause,[],[f2300,f2262,f112,f227,f2144]) ).
thf(f2311,definition,
( spl0_95
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
thf(f2312,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f2311]) ).
thf(f2318,definition,
( spl0_97
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
thf(f2319,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f2318]) ).
thf(f2324,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_80 ),
inference(avatar_component_clause,[],[f2126]) ).
thf(f2326,definition,
( spl0_99
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
thf(f2327,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_99 ),
inference(avatar_component_clause,[],[f2326]) ).
thf(f2328,plain,
( ~ spl0_80
| ~ spl0_99
| ~ spl0_10
| spl0_17
| spl0_93 ),
inference(avatar_split_clause,[],[f2307,f2262,f240,f151,f2326,f2126]) ).
thf(f2330,definition,
( spl0_100
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
thf(f2331,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_100 ),
inference(avatar_component_clause,[],[f2330]) ).
thf(f2333,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_15
| spl0_92 ),
inference(constrained_superposition,[],[f2259,f234]) ).
thf(f2337,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_15
| spl0_92 ),
inference(trivial_inequality_removal,[],[f2333]) ).
thf(f2342,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_32
| spl0_92 ),
inference(constrained_superposition,[],[f444,f2337]) ).
thf(f2344,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_15
| ~ spl0_32
| spl0_92 ),
inference(trivial_inequality_removal,[],[f2342]) ).
thf(f2366,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_5
| ~ spl0_94 ),
inference(constrained_superposition,[],[f113,f2266]) ).
thf(f2374,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_5
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f2366]) ).
thf(f2392,definition,
( spl0_101
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
thf(f2393,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_101 ),
inference(avatar_component_clause,[],[f2392]) ).
thf(f2395,definition,
( spl0_102
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
thf(f2396,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_102 ),
inference(avatar_component_clause,[],[f2395]) ).
thf(f2399,definition,
( spl0_103
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
thf(f2400,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_103 ),
inference(avatar_component_clause,[],[f2399]) ).
thf(f2403,definition,
( spl0_104
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
thf(f2404,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_104 ),
inference(avatar_component_clause,[],[f2403]) ).
thf(f2407,definition,
( spl0_105
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
thf(f2408,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f2407]) ).
thf(f2410,definition,
( spl0_106
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
thf(f2411,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f2410]) ).
thf(f2414,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_104 ),
inference(constrained_superposition,[],[f2404,f28]) ).
thf(f2415,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_104 ),
inference(trivial_inequality_removal,[],[f2414]) ).
thf(f2417,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_104 ),
inference(forward_subsumption_resolution,[],[f2415,f29]) ).
thf(f2420,plain,
( $false
| ~ spl0_15
| ~ spl0_32
| spl0_92
| spl0_104 ),
inference(forward_subsumption_resolution,[],[f2417,f2344]) ).
thf(f2421,plain,
( ~ spl0_15
| ~ spl0_32
| spl0_92
| spl0_104 ),
inference(avatar_contradiction_clause,[],[f2420]) ).
thf(f2430,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_24
| spl0_92 ),
inference(constrained_superposition,[],[f2259,f379]) ).
thf(f2435,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_24
| spl0_92 ),
inference(trivial_inequality_removal,[],[f2430]) ).
thf(f2436,plain,
( $false
| ~ spl0_15
| ~ spl0_24
| ~ spl0_32
| spl0_92 ),
inference(forward_subsumption_resolution,[],[f2435,f2344]) ).
thf(f2437,plain,
( ~ spl0_15
| ~ spl0_24
| ~ spl0_32
| spl0_92 ),
inference(avatar_contradiction_clause,[],[f2436]) ).
thf(f2439,definition,
( spl0_107
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
thf(f2440,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f2439]) ).
thf(f2442,definition,
( spl0_108
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
thf(f2443,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f2442]) ).
thf(f2446,definition,
( spl0_109
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
thf(f2447,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f2446]) ).
thf(f2448,plain,
( ~ spl0_13
| spl0_109
| ~ spl0_5
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f2374,f2265,f112,f2446,f227]) ).
thf(f2453,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f27,f2145]) ).
thf(f2456,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2453]) ).
thf(f2457,plain,
( spl0_81
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2456,f2144,f2130]) ).
thf(f2460,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_37
| ~ spl0_84 ),
inference(constrained_superposition,[],[f1950,f2148]) ).
thf(f2462,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f27,f2148]) ).
thf(f2463,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_37
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f2460]) ).
thf(f2464,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f2462]) ).
thf(f2466,plain,
( ~ spl0_85
| ~ spl0_37
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f2463,f2147,f426,f2153]) ).
thf(f2467,plain,
( spl0_79
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f2464,f2147,f2123]) ).
thf(f2468,plain,
( spl0_32
| spl0_35 ),
inference(avatar_split_clause,[],[f453,f416,f406]) ).
thf(f2480,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_107 ),
inference(constrained_superposition,[],[f1950,f2440]) ).
thf(f2484,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_37
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f2480]) ).
thf(f2490,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_11
| spl0_92 ),
inference(constrained_superposition,[],[f2259,f221]) ).
thf(f2494,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_11
| spl0_92 ),
inference(trivial_inequality_removal,[],[f2490]) ).
thf(f2505,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_88 ),
inference(constrained_superposition,[],[f129,f2198]) ).
thf(f2510,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_88 ),
inference(constrained_superposition,[],[f347,f2198]) ).
thf(f2522,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_23
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f2510]) ).
thf(f2529,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f2505]) ).
thf(f2530,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f2153]) ).
thf(f2534,definition,
( spl0_111
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
thf(f2535,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f2534]) ).
thf(f2537,definition,
( spl0_112
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
thf(f2538,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_112 ),
inference(avatar_component_clause,[],[f2537]) ).
thf(f2539,plain,
( spl0_111
| ~ spl0_112
| ~ spl0_23
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f2522,f2197,f346,f2537,f2534]) ).
thf(f2548,definition,
( spl0_114
<=> ! [X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
thf(f2549,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f2548]) ).
thf(f2565,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f27,f2530]) ).
thf(f2568,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f2565]) ).
thf(f2604,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_80 ),
inference(constrained_superposition,[],[f2324,f89]) ).
thf(f2606,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_80 ),
inference(constrained_superposition,[],[f2324,f28]) ).
thf(f2608,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_80 ),
inference(trivial_inequality_removal,[],[f2606]) ).
thf(f2609,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_80 ),
inference(trivial_inequality_removal,[],[f2604]) ).
thf(f2612,definition,
( spl0_116
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
thf(f2613,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f2612]) ).
thf(f2614,plain,
( spl0_116
| spl0_84
| spl0_80 ),
inference(avatar_split_clause,[],[f2608,f2126,f2147,f2612]) ).
thf(f2615,plain,
( spl0_84
| spl0_80 ),
inference(avatar_split_clause,[],[f2609,f2126,f2147]) ).
thf(f2616,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_99 ),
inference(constrained_superposition,[],[f2327,f37]) ).
thf(f2618,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_99 ),
inference(trivial_inequality_removal,[],[f2616]) ).
thf(f2624,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_80 ),
inference(constrained_superposition,[],[f347,f2127]) ).
thf(f2637,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f2624]) ).
thf(f2640,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_14
| ~ spl0_23
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f2637,f2114]) ).
thf(f2642,definition,
( spl0_117
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
thf(f2643,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f2642]) ).
thf(f2645,plain,
( spl0_111
| ~ spl0_14
| ~ spl0_23
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f2640,f2126,f346,f230,f2534]) ).
thf(f2646,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_100 ),
inference(constrained_superposition,[],[f2331,f88]) ).
thf(f2651,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_100 ),
inference(trivial_inequality_removal,[],[f2646]) ).
thf(f2660,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_112 ),
inference(constrained_superposition,[],[f2538,f38]) ).
thf(f2665,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_112 ),
inference(trivial_inequality_removal,[],[f2660]) ).
thf(f2670,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_92
| spl0_112 ),
inference(forward_subsumption_resolution,[],[f2665,f2259]) ).
thf(f2673,plain,
( spl0_116
| spl0_92
| spl0_112 ),
inference(avatar_split_clause,[],[f2670,f2537,f2258,f2612]) ).
thf(f2675,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f2549,f88]) ).
thf(f2680,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f2675]) ).
thf(f2687,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_85
| ~ spl0_111 ),
inference(constrained_superposition,[],[f2568,f2535]) ).
thf(f2688,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_24
| ~ spl0_85 ),
inference(constrained_superposition,[],[f2568,f379]) ).
thf(f2691,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_83
| ~ spl0_85 ),
inference(constrained_superposition,[],[f2568,f2145]) ).
thf(f2701,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_85
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f2687]) ).
thf(f2702,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_24
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f2688]) ).
thf(f2703,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_83
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f2691]) ).
thf(f2705,plain,
( $false
| ~ spl0_27
| ~ spl0_85
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f2701,f389]) ).
thf(f2706,plain,
( ~ spl0_27
| ~ spl0_85
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f2705]) ).
thf(f2707,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_24
| ~ spl0_27
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f2702,f389]) ).
thf(f2708,plain,
( $false
| ~ spl0_37
| ~ spl0_83
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f2703,f427]) ).
thf(f2709,plain,
( ~ spl0_37
| ~ spl0_83
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f2708]) ).
thf(f2711,plain,
( spl0_82
| ~ spl0_24
| ~ spl0_27
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f2707,f2153,f388,f378,f2133]) ).
thf(f2713,plain,
( spl0_85
| spl0_99 ),
inference(avatar_split_clause,[],[f2618,f2326,f2153]) ).
thf(f2719,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f27,f2134]) ).
thf(f2721,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f2719]) ).
thf(f2735,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_102 ),
inference(constrained_superposition,[],[f2396,f37]) ).
thf(f2736,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_102 ),
inference(constrained_superposition,[],[f2396,f28]) ).
thf(f2737,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_102 ),
inference(trivial_inequality_removal,[],[f2736]) ).
thf(f2738,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_102 ),
inference(trivial_inequality_removal,[],[f2735]) ).
thf(f2739,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_102 ),
inference(forward_subsumption_resolution,[],[f2737,f29]) ).
thf(f2742,plain,
( $false
| ~ spl0_37
| spl0_102
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f2739,f2484]) ).
thf(f2743,plain,
( ~ spl0_37
| spl0_102
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f2742]) ).
thf(f2745,definition,
( spl0_119
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
thf(f2746,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f2745]) ).
thf(f2747,plain,
( spl0_107
| spl0_119
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f2529,f2197,f2745,f2439]) ).
thf(f2748,plain,
( spl0_107
| ~ spl0_11
| spl0_92 ),
inference(avatar_split_clause,[],[f2494,f2258,f220,f2439]) ).
thf(f2750,definition,
( spl0_120
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
thf(f2751,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f2750]) ).
thf(f2753,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f2258]) ).
thf(f2764,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f30,f2127]) ).
thf(f2772,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f2764]) ).
thf(f2780,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| spl0_102 ),
inference(constrained_superposition,[],[f27,f2738]) ).
thf(f2784,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| spl0_102 ),
inference(trivial_inequality_removal,[],[f2780]) ).
thf(f2844,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_87
| ~ spl0_114 ),
inference(constrained_superposition,[],[f2549,f2194]) ).
thf(f2866,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_87
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f2844]) ).
thf(f2872,plain,
( ~ spl0_104
| ~ spl0_87
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f2866,f2548,f2193,f2403]) ).
thf(f2874,definition,
( spl0_121
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
thf(f2875,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f2874]) ).
thf(f2879,definition,
( spl0_122
<=> ! [X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
thf(f2880,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f2879]) ).
thf(f2915,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_81 ),
inference(constrained_superposition,[],[f2131,f958]) ).
thf(f2920,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_4
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f2915]) ).
thf(f2927,definition,
( spl0_123
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
thf(f2928,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f2927]) ).
thf(f2930,plain,
( spl0_123
| ~ spl0_32
| ~ spl0_4
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f2920,f2130,f67,f406,f2927]) ).
thf(f2947,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| spl0_102
| ~ spl0_109 ),
inference(constrained_superposition,[],[f2784,f2447]) ).
thf(f2952,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| spl0_102
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f2947]) ).
thf(f2959,plain,
( $false
| ~ spl0_37
| spl0_102
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f2952,f427]) ).
thf(f2960,plain,
( ~ spl0_37
| spl0_102
| ~ spl0_109 ),
inference(avatar_contradiction_clause,[],[f2959]) ).
thf(f2966,definition,
( spl0_124
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
thf(f2967,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f2966]) ).
thf(f2987,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_82
| ~ spl0_89 ),
inference(constrained_superposition,[],[f2721,f2201]) ).
thf(f2989,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_89 ),
inference(constrained_superposition,[],[f27,f2201]) ).
thf(f2993,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_82
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f2987]) ).
thf(f2994,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f2989]) ).
thf(f2996,plain,
( $false
| ~ spl0_82
| ~ spl0_89
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f2993,f2751]) ).
thf(f2997,plain,
( ~ spl0_82
| ~ spl0_89
| ~ spl0_120 ),
inference(avatar_contradiction_clause,[],[f2996]) ).
thf(f3000,definition,
( spl0_127
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
thf(f3001,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f3000]) ).
thf(f3003,definition,
( spl0_128
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
thf(f3012,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_37
| ~ spl0_107 ),
inference(constrained_superposition,[],[f1950,f2440]) ).
thf(f3017,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_37
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f3012]) ).
thf(f3020,plain,
( $false
| ~ spl0_37
| ~ spl0_107
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f3017,f2967]) ).
thf(f3021,plain,
( ~ spl0_37
| ~ spl0_107
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f3020]) ).
thf(f3024,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_24
| spl0_92 ),
inference(constrained_superposition,[],[f2259,f379]) ).
thf(f3031,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_24
| spl0_92 ),
inference(trivial_inequality_removal,[],[f3024]) ).
thf(f3055,plain,
( spl0_83
| spl0_100 ),
inference(avatar_split_clause,[],[f2651,f2330,f2144]) ).
thf(f3056,plain,
( ~ spl0_35
| spl0_83
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f2680,f2548,f2144,f416]) ).
thf(f3118,plain,
( spl0_120
| ~ spl0_24
| spl0_92 ),
inference(avatar_split_clause,[],[f3031,f2258,f378,f2750]) ).
thf(f3250,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f1307]) ).
thf(f3252,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_48 ),
inference(constrained_superposition,[],[f720,f36]) ).
thf(f3254,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_48 ),
inference(trivial_inequality_removal,[],[f3252]) ).
thf(f3256,plain,
( spl0_64
| spl0_48 ),
inference(avatar_split_clause,[],[f3254,f719,f1307]) ).
thf(f3389,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_4
| ~ spl0_89 ),
inference(constrained_superposition,[],[f2994,f1319]) ).
thf(f3395,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_4
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f3389]) ).
thf(f3459,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_119 ),
inference(constrained_superposition,[],[f2746,f36]) ).
thf(f3471,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f3459]) ).
thf(f3473,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_121 ),
inference(constrained_superposition,[],[f2875,f36]) ).
thf(f3479,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f3473]) ).
thf(f3502,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f2240,f88]) ).
thf(f3511,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f3502]) ).
thf(f3519,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f410,f89]) ).
thf(f3522,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_33 ),
inference(duplicate_literal_removal,[],[f3519]) ).
thf(f3523,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f3522]) ).
thf(f3537,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f2772,f37]) ).
thf(f3540,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f3537]) ).
thf(f3546,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_80
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f3540,f2154]) ).
thf(f3547,plain,
( spl0_10
| ~ spl0_80
| spl0_85 ),
inference(avatar_split_clause,[],[f3546,f2153,f2126,f151]) ).
thf(f4124,definition,
( spl0_133
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
thf(f4125,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_133 ),
inference(avatar_component_clause,[],[f4124]) ).
thf(f4136,definition,
( spl0_135
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
thf(f4137,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f4136]) ).
thf(f4169,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ z ) )
| spl0_116 ),
inference(avatar_component_clause,[],[f2612]) ).
thf(f4201,definition,
( spl0_141
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
thf(f4202,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f4201]) ).
thf(f4204,definition,
( spl0_142
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
thf(f4205,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f4204]) ).
thf(f4208,definition,
( spl0_143
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f4209,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f4208]) ).
thf(f4211,definition,
( spl0_144
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
thf(f4212,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f4211]) ).
thf(f4270,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_116 ),
inference(constrained_superposition,[],[f189,f2613]) ).
thf(f4414,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f227]) ).
thf(f4416,definition,
( spl0_145
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
thf(f4417,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f4416]) ).
thf(f4423,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f4270,f32]) ).
thf(f4459,plain,
( $false
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f4423,f33]) ).
thf(f4460,plain,
~ spl0_116,
inference(avatar_contradiction_clause,[],[f4459]) ).
thf(f4471,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| spl0_116 ),
inference(extensionality_resolution,[],[f1319,f4169]) ).
thf(f4472,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_4
| spl0_116 ),
inference(extensionality_resolution,[],[f1319,f4169]) ).
thf(f4473,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_4
| spl0_116 ),
inference(extensionality_resolution,[],[f742,f4169]) ).
thf(f4475,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_116 ),
inference(extensionality_resolution,[],[f86,f4169]) ).
thf(f4476,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_116 ),
inference(extensionality_resolution,[],[f86,f4169]) ).
thf(f4482,plain,
( spl0_141
| spl0_142
| spl0_116 ),
inference(avatar_split_clause,[],[f4476,f2612,f4204,f4201]) ).
thf(f4483,plain,
( spl0_144
| spl0_143
| spl0_116 ),
inference(avatar_split_clause,[],[f4475,f2612,f4208,f4211]) ).
thf(f4528,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_108 ),
inference(constrained_superposition,[],[f190,f2443]) ).
thf(f4657,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f4528,f33]) ).
thf(f4689,plain,
( $false
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f4657,f32]) ).
thf(f4690,plain,
~ spl0_108,
inference(avatar_contradiction_clause,[],[f4689]) ).
thf(f4713,definition,
( spl0_146
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
thf(f4714,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f4713]) ).
thf(f4716,definition,
( spl0_147
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
thf(f4717,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f4716]) ).
thf(f4720,definition,
( spl0_148
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
thf(f4721,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f4720]) ).
thf(f4723,definition,
( spl0_149
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
thf(f4724,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f4723]) ).
thf(f5031,definition,
( spl0_150
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
thf(f5032,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f5031]) ).
thf(f5053,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f2262]) ).
thf(f5106,definition,
( spl0_152
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
thf(f5107,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f5106]) ).
thf(f5160,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_82 ),
inference(avatar_component_clause,[],[f2133]) ).
thf(f5166,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_111 ),
inference(avatar_component_clause,[],[f2534]) ).
thf(f5200,definition,
( spl0_157
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
thf(f5201,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f5200]) ).
thf(f5202,plain,
( spl0_157
| spl0_124
| ~ spl0_4
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f3395,f2200,f67,f2966,f5200]) ).
thf(f5396,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_27
| ~ spl0_124 ),
inference(constrained_superposition,[],[f1667,f2967]) ).
thf(f5402,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_27
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f5396]) ).
thf(f5405,plain,
( spl0_94
| ~ spl0_27
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f5402,f2966,f388,f2265]) ).
thf(f5412,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_93 ),
inference(constrained_superposition,[],[f2263,f190]) ).
thf(f5415,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_93
| ~ spl0_123 ),
inference(constrained_superposition,[],[f2263,f2928]) ).
thf(f5417,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_93
| ~ spl0_123 ),
inference(trivial_inequality_removal,[],[f5415]) ).
thf(f5418,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_93 ),
inference(trivial_inequality_removal,[],[f5412]) ).
thf(f5420,plain,
( spl0_127
| spl0_93 ),
inference(avatar_split_clause,[],[f5418,f2262,f3000]) ).
thf(f5437,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_127 ),
inference(constrained_superposition,[],[f30,f3001]) ).
thf(f5439,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f5437]) ).
thf(f5455,plain,
( spl0_135
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f5439,f3000,f4136]) ).
thf(f5484,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_89
| ~ spl0_109 ),
inference(constrained_superposition,[],[f2994,f2447]) ).
thf(f5489,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_89
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f5484]) ).
thf(f5492,plain,
( $false
| ~ spl0_84
| ~ spl0_89
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f5489,f2148]) ).
thf(f5493,plain,
( ~ spl0_84
| ~ spl0_89
| ~ spl0_109 ),
inference(avatar_contradiction_clause,[],[f5492]) ).
thf(f5513,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f5107,f28]) ).
thf(f5524,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f5513]) ).
thf(f5530,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_92 ),
inference(constrained_superposition,[],[f27,f2753]) ).
thf(f5531,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_92 ),
inference(trivial_inequality_removal,[],[f5530]) ).
thf(f5538,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_86 ),
inference(constrained_superposition,[],[f27,f2191]) ).
thf(f5539,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f5538]) ).
thf(f5543,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_79 ),
inference(constrained_superposition,[],[f2124,f190]) ).
thf(f5551,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f5543]) ).
thf(f5619,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_23
| ~ spl0_141 ),
inference(constrained_superposition,[],[f347,f4202]) ).
thf(f5621,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_5
| ~ spl0_141 ),
inference(constrained_superposition,[],[f113,f4202]) ).
thf(f5623,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_141 ),
inference(constrained_superposition,[],[f68,f4202]) ).
thf(f5630,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_5
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f5621]) ).
thf(f5636,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_23
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f5619]) ).
thf(f5637,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f5623]) ).
thf(f5644,definition,
( spl0_158
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
thf(f5645,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f5644]) ).
thf(f5646,plain,
( spl0_158
| ~ spl0_100
| ~ spl0_5
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f5630,f4201,f112,f2330,f5644]) ).
thf(f5648,definition,
( spl0_159
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
thf(f5649,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f5648]) ).
thf(f5657,definition,
( spl0_161
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
thf(f5658,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f5657]) ).
thf(f5660,definition,
( spl0_162
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
thf(f5661,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_162 ),
inference(avatar_component_clause,[],[f5660]) ).
thf(f5662,plain,
( spl0_161
| ~ spl0_162
| ~ spl0_23
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f5636,f4201,f346,f5660,f5657]) ).
thf(f5664,definition,
( spl0_163
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
thf(f5665,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f5664]) ).
thf(f5666,plain,
( spl0_163
| ~ spl0_99
| ~ spl0_4
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f5637,f4201,f67,f2326,f5664]) ).
thf(f5688,definition,
( spl0_168
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
thf(f5689,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f5688]) ).
thf(f5693,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_162 ),
inference(constrained_superposition,[],[f5661,f86]) ).
thf(f5699,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_162 ),
inference(trivial_inequality_removal,[],[f5693]) ).
thf(f5704,plain,
( ( z
= ( s @ z ) )
| spl0_111
| spl0_162 ),
inference(forward_subsumption_resolution,[],[f5699,f5166]) ).
thf(f5709,plain,
( $false
| spl0_111
| spl0_162 ),
inference(forward_subsumption_resolution,[],[f5704,f29]) ).
thf(f5710,plain,
( spl0_111
| spl0_162 ),
inference(avatar_contradiction_clause,[],[f5709]) ).
thf(f5711,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_27
| ~ spl0_163 ),
inference(constrained_superposition,[],[f1667,f5665]) ).
thf(f5717,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_27
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f5711]) ).
thf(f5746,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_27
| ~ spl0_163 ),
inference(constrained_superposition,[],[f158,f5717]) ).
thf(f5772,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_7
| ~ spl0_27
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f5746]) ).
thf(f5776,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_7
| spl0_17
| ~ spl0_27
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f5772,f1958]) ).
thf(f5785,definition,
( spl0_171
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
thf(f5786,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_171 ),
inference(avatar_component_clause,[],[f5785]) ).
thf(f5788,definition,
( spl0_172
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
thf(f5789,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_172 ),
inference(avatar_component_clause,[],[f5788]) ).
thf(f5790,plain,
( ~ spl0_171
| ~ spl0_172
| ~ spl0_7
| spl0_17
| ~ spl0_27
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f5776,f5664,f388,f240,f141,f5788,f5785]) ).
thf(f5791,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_172 ),
inference(constrained_superposition,[],[f5789,f88]) ).
thf(f5796,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_172 ),
inference(trivial_inequality_removal,[],[f5791]) ).
thf(f5811,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_106 ),
inference(constrained_superposition,[],[f2411,f189]) ).
thf(f5822,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f5811]) ).
thf(f5898,plain,
( spl0_158
| spl0_172 ),
inference(avatar_split_clause,[],[f5796,f5788,f5644]) ).
thf(f5924,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_159 ),
inference(constrained_superposition,[],[f1950,f5649]) ).
thf(f5931,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_37
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f5924]) ).
thf(f5933,plain,
( $false
| ~ spl0_37
| ~ spl0_159
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f5931,f5665]) ).
thf(f5934,plain,
( ~ spl0_37
| ~ spl0_159
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f5933]) ).
thf(f5935,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_81
| ~ spl0_142 ),
inference(constrained_superposition,[],[f2131,f4205]) ).
thf(f5939,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f27,f4205]) ).
thf(f5940,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f5939]) ).
thf(f5944,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_81
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f5935]) ).
thf(f5992,definition,
( spl0_175
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
thf(f5993,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f5992]) ).
thf(f6009,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f27,f4209]) ).
thf(f6011,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f6009]) ).
thf(f6045,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_146 ),
inference(constrained_superposition,[],[f68,f4714]) ).
thf(f6052,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f6045]) ).
thf(f6071,definition,
( spl0_177
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
thf(f6072,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_177 ),
inference(avatar_component_clause,[],[f6071]) ).
thf(f6073,plain,
( ~ spl0_177
| spl0_124
| ~ spl0_4
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f6052,f4713,f67,f2966,f6071]) ).
thf(f6101,definition,
( spl0_178
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
thf(f6102,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_178 ),
inference(avatar_component_clause,[],[f6101]) ).
thf(f6119,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_5
| ~ spl0_148 ),
inference(constrained_superposition,[],[f113,f4721]) ).
thf(f6135,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_5
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f6119]) ).
thf(f6147,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_5
| ~ spl0_81
| ~ spl0_142
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f6135,f5944]) ).
thf(f6163,plain,
( ~ spl0_103
| ~ spl0_5
| ~ spl0_81
| ~ spl0_142
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f6147,f4720,f4204,f2130,f112,f2399]) ).
thf(f6175,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_4
| ~ spl0_92 ),
inference(constrained_superposition,[],[f5531,f1319]) ).
thf(f6186,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_92 ),
inference(trivial_inequality_removal,[],[f6175]) ).
thf(f6196,definition,
( spl0_182
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
thf(f6197,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f6196]) ).
thf(f6198,plain,
( spl0_124
| spl0_182
| ~ spl0_4
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f6186,f2258,f67,f6196,f2966]) ).
thf(f6363,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_117
| ~ spl0_127 ),
inference(constrained_superposition,[],[f2643,f3001]) ).
thf(f6369,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_117
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f6363]) ).
thf(f6396,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f4137,f37]) ).
thf(f6401,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f6396]) ).
thf(f6405,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| spl0_85
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f6401,f2154]) ).
thf(f6408,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| spl0_85
| ~ spl0_127
| ~ spl0_135 ),
inference(constrained_superposition,[],[f6405,f3001]) ).
thf(f6417,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_85
| ~ spl0_127
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f6408]) ).
thf(f6784,definition,
( spl0_191
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
thf(f6785,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f6784]) ).
thf(f6901,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f5524,f28]) ).
thf(f6903,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f6901]) ).
thf(f6951,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_86 ),
inference(constrained_superposition,[],[f5539,f149]) ).
thf(f6952,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_142 ),
inference(constrained_superposition,[],[f5940,f149]) ).
thf(f6960,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f6952]) ).
thf(f6965,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f6951]) ).
thf(f6968,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_9
| ~ spl0_83
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f6960,f2145]) ).
thf(f6970,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_9
| ~ spl0_83
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f6965,f2145]) ).
thf(f6972,plain,
( spl0_163
| ~ spl0_9
| ~ spl0_83
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f6968,f4204,f2144,f148,f5664]) ).
thf(f6973,plain,
( spl0_124
| ~ spl0_9
| ~ spl0_83
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f6970,f2190,f2144,f148,f2966]) ).
thf(f7019,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_111
| ~ spl0_152 ),
inference(constrained_superposition,[],[f5166,f6903]) ).
thf(f7041,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_111
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f7019]) ).
thf(f7046,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_85
| spl0_111
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f7041,f2154]) ).
thf(f7047,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_85
| spl0_111
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f7046,f29]) ).
thf(f7087,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_85
| spl0_111
| ~ spl0_152 ),
inference(constrained_superposition,[],[f189,f7047]) ).
thf(f7226,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_85
| spl0_111
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f7087,f32]) ).
thf(f7252,plain,
( $false
| spl0_85
| spl0_111
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f7226,f33]) ).
thf(f7253,plain,
( spl0_85
| spl0_111
| ~ spl0_152 ),
inference(avatar_contradiction_clause,[],[f7252]) ).
thf(f7286,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_161
| ~ spl0_182 ),
inference(constrained_superposition,[],[f6197,f5658]) ).
thf(f7294,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_161
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f7286]) ).
thf(f7303,definition,
( spl0_192
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f7304,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f7303]) ).
thf(f7305,plain,
( spl0_192
| spl0_163
| ~ spl0_161
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f7294,f6196,f5657,f5664,f7303]) ).
thf(f7360,definition,
( spl0_193
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
thf(f7361,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f7360]) ).
thf(f7370,definition,
( spl0_194
<=> ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f7371,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f7370]) ).
thf(f7372,plain,
( spl0_194
| spl0_193
| ~ spl0_35
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f3523,f409,f416,f7360,f7370]) ).
thf(f7382,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f7361,f28]) ).
thf(f7385,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f7361,f88]) ).
thf(f7388,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f7382]) ).
thf(f7390,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f7385]) ).
thf(f7392,plain,
( spl0_73
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f7390,f7360,f1929]) ).
thf(f7404,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f1930,f37]) ).
thf(f7407,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f7404]) ).
thf(f7409,plain,
( spl0_34
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f7407,f1929,f413]) ).
thf(f7438,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f7388,f28]) ).
thf(f7441,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f7438]) ).
thf(f7449,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_89
| ~ spl0_193 ),
inference(constrained_superposition,[],[f2994,f7441]) ).
thf(f7470,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_89
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f7449]) ).
thf(f7477,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_84
| ~ spl0_89
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f7470,f2148]) ).
thf(f7481,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_84
| ~ spl0_89
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f7477,f29]) ).
thf(f7483,plain,
( spl0_124
| spl0_108
| ~ spl0_84
| ~ spl0_89
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f7481,f7360,f2200,f2147,f2442,f2966]) ).
thf(f7508,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_34
| ~ spl0_89 ),
inference(constrained_superposition,[],[f2994,f414]) ).
thf(f7509,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_34
| ~ spl0_81
| ~ spl0_142 ),
inference(constrained_superposition,[],[f5944,f414]) ).
thf(f7510,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_34
| ~ spl0_143 ),
inference(constrained_superposition,[],[f6011,f414]) ).
thf(f7523,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_34
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f7510]) ).
thf(f7524,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_34
| ~ spl0_81
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f7509]) ).
thf(f7528,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_34
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f7508]) ).
thf(f7536,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_34
| ~ spl0_84
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f7523,f2148]) ).
thf(f7537,plain,
( spl0_163
| ~ spl0_34
| ~ spl0_81
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f7524,f4204,f2130,f413,f5664]) ).
thf(f7538,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_34
| ~ spl0_84
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f7528,f2148]) ).
thf(f7540,plain,
( spl0_163
| ~ spl0_34
| ~ spl0_84
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f7536,f4208,f2147,f413,f5664]) ).
thf(f7541,plain,
( spl0_124
| ~ spl0_34
| ~ spl0_84
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f7538,f2200,f2147,f413,f2966]) ).
thf(f8094,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_168 ),
inference(avatar_component_clause,[],[f5688]) ).
thf(f8121,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_157 ),
inference(constrained_superposition,[],[f5201,f190]) ).
thf(f8122,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_143
| ~ spl0_157 ),
inference(constrained_superposition,[],[f5201,f4209]) ).
thf(f8137,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_143
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f8122]) ).
thf(f8138,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f8121]) ).
thf(f8142,plain,
( spl0_192
| spl0_163
| ~ spl0_143
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f8137,f5200,f4208,f5664,f7303]) ).
thf(f8144,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_89
| ~ spl0_192 ),
inference(constrained_superposition,[],[f2201,f7304]) ).
thf(f8146,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_92
| ~ spl0_192 ),
inference(constrained_superposition,[],[f2753,f7304]) ).
thf(f8261,plain,
( $false
| ~ spl0_89
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f8144,f33]) ).
thf(f8262,plain,
( ~ spl0_89
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f8261]) ).
thf(f8273,plain,
( $false
| ~ spl0_92
| spl0_111
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f8146,f5166]) ).
thf(f8274,plain,
( ~ spl0_92
| spl0_111
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f8273]) ).
thf(f8283,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f4124]) ).
thf(f8325,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_133 ),
inference(constrained_superposition,[],[f189,f8283]) ).
thf(f8441,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_133 ),
inference(forward_subsumption_resolution,[],[f8325,f33]) ).
thf(f8486,plain,
( $false
| ~ spl0_133 ),
inference(forward_subsumption_resolution,[],[f8441,f32]) ).
thf(f8487,plain,
~ spl0_133,
inference(avatar_contradiction_clause,[],[f8486]) ).
thf(f8509,plain,
( spl0_152
| ~ spl0_48
| ~ spl0_117
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f6369,f3000,f2642,f719,f5106]) ).
thf(f8513,plain,
( spl0_27
| spl0_63 ),
inference(avatar_split_clause,[],[f1900,f1267,f388]) ).
thf(f8515,plain,
( spl0_97
| ~ spl0_99
| spl0_85
| ~ spl0_127
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f6417,f4136,f3000,f2153,f2326,f2318]) ).
thf(f8516,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f3003]) ).
thf(f8517,plain,
( spl0_27
| spl0_128
| spl0_124
| ~ spl0_4
| spl0_116 ),
inference(avatar_split_clause,[],[f4472,f2612,f67,f2966,f3003,f388]) ).
thf(f8536,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_93
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f5417,f29]) ).
thf(f8541,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_4
| spl0_20
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f2179,f2154]) ).
thf(f8551,plain,
( spl0_27
| spl0_133
| spl0_93
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f8536,f2927,f2262,f4124,f388]) ).
thf(f8552,plain,
( spl0_111
| spl0_27
| ~ spl0_4
| spl0_20
| spl0_85 ),
inference(avatar_split_clause,[],[f8541,f2153,f282,f67,f388,f2534]) ).
thf(f8561,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_116
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f8138,f4169]) ).
thf(f8566,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_4
| spl0_20
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f2180,f2154]) ).
thf(f8569,plain,
( spl0_27
| spl0_127
| spl0_116
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f8561,f5200,f2612,f3000,f388]) ).
thf(f8570,plain,
( spl0_93
| spl0_27
| ~ spl0_4
| spl0_20
| spl0_85 ),
inference(avatar_split_clause,[],[f8566,f2153,f282,f67,f388,f2262]) ).
thf(f8571,plain,
( spl0_17
| spl0_7
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f3511,f230,f141,f240]) ).
thf(f8572,plain,
( ~ spl0_21
| spl0_127
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f5551,f2123,f3000,f285]) ).
thf(f8573,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f116,f89]) ).
thf(f8579,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f8573]) ).
thf(f8581,plain,
( spl0_194
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f8579,f115,f7370]) ).
thf(f8597,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| spl0_133 ),
inference(extensionality_resolution,[],[f1319,f4125]) ).
thf(f8599,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_4
| spl0_133 ),
inference(extensionality_resolution,[],[f742,f4125]) ).
thf(f8600,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_133 ),
inference(extensionality_resolution,[],[f86,f4125]) ).
thf(f8601,plain,
( ( ( 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 ) ) ) ) )
= $true )
| spl0_133 ),
inference(extensionality_resolution,[],[f86,f4125]) ).
thf(f8602,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_133 ),
inference(extensionality_resolution,[],[f38,f4125]) ).
thf(f8603,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_133 ),
inference(extensionality_resolution,[],[f38,f4125]) ).
thf(f8606,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_4
| spl0_85
| spl0_133 ),
inference(forward_subsumption_resolution,[],[f8597,f2154]) ).
thf(f8607,plain,
( spl0_89
| spl0_88
| spl0_133 ),
inference(avatar_split_clause,[],[f8603,f4124,f2197,f2200]) ).
thf(f8608,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_4
| spl0_85
| spl0_133 ),
inference(forward_subsumption_resolution,[],[f8599,f2154]) ).
thf(f8609,plain,
( spl0_146
| spl0_147
| spl0_133 ),
inference(avatar_split_clause,[],[f8601,f4124,f4716,f4713]) ).
thf(f8610,plain,
( spl0_149
| spl0_148
| spl0_133 ),
inference(avatar_split_clause,[],[f8600,f4124,f4720,f4723]) ).
thf(f8611,plain,
( spl0_124
| spl0_89
| ~ spl0_4
| spl0_85
| spl0_133 ),
inference(avatar_split_clause,[],[f8606,f4124,f2153,f67,f2200,f2966]) ).
thf(f8612,plain,
( spl0_89
| ~ spl0_102
| ~ spl0_4
| spl0_85
| spl0_133 ),
inference(avatar_split_clause,[],[f8608,f4124,f2153,f67,f2395,f2200]) ).
thf(f8619,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_86
| ~ spl0_194 ),
inference(constrained_superposition,[],[f5539,f7371]) ).
thf(f8623,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_86
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f8619]) ).
thf(f8629,plain,
( $false
| ~ spl0_83
| ~ spl0_86
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f8623,f2145]) ).
thf(f8630,plain,
( ~ spl0_83
| ~ spl0_86
| ~ spl0_194 ),
inference(avatar_contradiction_clause,[],[f8629]) ).
thf(f8633,plain,
( $false
| ~ spl0_6
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f2127,f116]) ).
thf(f8634,plain,
( ~ spl0_6
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f8633]) ).
thf(f8635,plain,
( spl0_27
| spl0_124
| spl0_92
| ~ spl0_4
| spl0_116 ),
inference(avatar_split_clause,[],[f4471,f2612,f67,f2258,f2966,f388]) ).
thf(f8636,plain,
( spl0_92
| ~ spl0_102
| spl0_27
| ~ spl0_4
| spl0_116 ),
inference(avatar_split_clause,[],[f4473,f2612,f67,f388,f2395,f2258]) ).
thf(f8639,plain,
( spl0_92
| ~ spl0_14
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f5822,f2410,f230,f2258]) ).
thf(f8641,plain,
( ~ spl0_26
| spl0_193
| spl0_82
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f3471,f2745,f2133,f7360,f385]) ).
thf(f8648,plain,
( ~ spl0_26
| spl0_193
| spl0_120
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f3479,f2874,f2750,f7360,f385]) ).
thf(f8655,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f27,f241]) ).
thf(f8656,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f8655]) ).
thf(f8657,plain,
( spl0_145
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f8656,f240,f4416]) ).
thf(f8666,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_14 ),
inference(constrained_superposition,[],[f231,f28]) ).
thf(f8668,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_14 ),
inference(trivial_inequality_removal,[],[f8666]) ).
thf(f8671,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_14
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f8668,f665]) ).
thf(f8672,plain,
( spl0_21
| spl0_14
| spl0_20 ),
inference(avatar_split_clause,[],[f8671,f282,f230,f285]) ).
thf(f8691,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f1665,f2148]) ).
thf(f8693,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f8691]) ).
thf(f8700,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f27,f2967]) ).
thf(f8701,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f8700]) ).
thf(f8709,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_27 ),
inference(avatar_component_clause,[],[f388]) ).
thf(f8769,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f27,f2535]) ).
thf(f8770,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f8769]) ).
thf(f8773,plain,
( spl0_191
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f8770,f2534,f6784]) ).
thf(f8781,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_127 ),
inference(constrained_superposition,[],[f68,f3001]) ).
thf(f8789,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f8781]) ).
thf(f8794,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_4
| spl0_85
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f8789,f2154]) ).
thf(f8796,plain,
( ~ spl0_63
| ~ spl0_4
| spl0_85
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f8794,f3000,f2153,f67,f1267]) ).
thf(f8797,plain,
( spl0_87
| spl0_86
| spl0_133 ),
inference(avatar_split_clause,[],[f8602,f4124,f2190,f2193]) ).
thf(f8798,plain,
( spl0_127
| ~ spl0_17
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f8693,f2147,f240,f3000]) ).
thf(f8799,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_4
| spl0_17 ),
inference(constrained_superposition,[],[f1958,f959]) ).
thf(f8801,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_4
| spl0_17 ),
inference(trivial_inequality_removal,[],[f8799]) ).
thf(f8803,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_4
| spl0_17
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f8801,f8709]) ).
thf(f8811,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_4
| spl0_17
| spl0_20
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f8803,f665]) ).
thf(f8813,plain,
( spl0_37
| ~ spl0_4
| spl0_17
| spl0_20
| spl0_27 ),
inference(avatar_split_clause,[],[f8811,f388,f282,f240,f67,f426]) ).
thf(f8823,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_14 ),
inference(constrained_superposition,[],[f68,f2114]) ).
thf(f8827,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f8823]) ).
thf(f8830,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_14
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f8827,f8709]) ).
thf(f8831,plain,
( ~ spl0_26
| ~ spl0_4
| ~ spl0_14
| spl0_27 ),
inference(avatar_split_clause,[],[f8830,f388,f230,f67,f385]) ).
thf(f8866,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f27,f407]) ).
thf(f8867,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f8866]) ).
thf(f8890,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_93 ),
inference(constrained_superposition,[],[f27,f5053]) ).
thf(f8892,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f8890]) ).
thf(f8894,plain,
( spl0_150
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f8892,f2262,f5031]) ).
thf(f8897,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f27,f5665]) ).
thf(f8900,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f8897]) ).
thf(f8907,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_177 ),
inference(constrained_superposition,[],[f6072,f37]) ).
thf(f8909,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_177 ),
inference(trivial_inequality_removal,[],[f8907]) ).
thf(f8942,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_171 ),
inference(constrained_superposition,[],[f5786,f89]) ).
thf(f8945,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_171 ),
inference(trivial_inequality_removal,[],[f8942]) ).
thf(f8948,plain,
( spl0_159
| spl0_171 ),
inference(avatar_split_clause,[],[f8945,f5785,f5648]) ).
thf(f8959,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_78
| ~ spl0_111 ),
inference(constrained_superposition,[],[f2117,f2535]) ).
thf(f8966,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_78
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f8959]) ).
thf(f8969,plain,
( $false
| ~ spl0_78
| ~ spl0_84
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f8966,f2148]) ).
thf(f8970,plain,
( ~ spl0_78
| ~ spl0_84
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f8969]) ).
thf(f9028,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_87 ),
inference(constrained_superposition,[],[f129,f2194]) ).
thf(f9045,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f9028]) ).
thf(f9058,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_88
| ~ spl0_119 ),
inference(constrained_superposition,[],[f2746,f2198]) ).
thf(f9072,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_88
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f9058]) ).
thf(f9077,definition,
( spl0_205
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
thf(f9078,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f9077]) ).
thf(f9079,plain,
( ~ spl0_101
| spl0_205
| ~ spl0_88
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f9072,f2745,f2197,f9077,f2392]) ).
thf(f9101,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_92
| ~ spl0_124 ),
inference(constrained_superposition,[],[f8701,f2753]) ).
thf(f9103,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_11
| ~ spl0_124 ),
inference(constrained_superposition,[],[f8701,f221]) ).
thf(f9109,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_11
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f9103]) ).
thf(f9112,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_92
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f9101]) ).
thf(f9186,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_119
| ~ spl0_144 ),
inference(constrained_superposition,[],[f2746,f4212]) ).
thf(f9187,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_23
| ~ spl0_144 ),
inference(constrained_superposition,[],[f347,f4212]) ).
thf(f9188,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_144 ),
inference(constrained_superposition,[],[f68,f4212]) ).
thf(f9196,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_23
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f9187]) ).
thf(f9199,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_119
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f9186]) ).
thf(f9200,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f9188]) ).
thf(f9202,plain,
( spl0_175
| ~ spl0_171
| ~ spl0_119
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f9199,f4211,f2745,f5785,f5992]) ).
thf(f9213,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_87
| ~ spl0_205 ),
inference(constrained_superposition,[],[f9078,f2194]) ).
thf(f9219,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_87
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f9213]) ).
thf(f9221,plain,
( ~ spl0_100
| ~ spl0_87
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f9219,f9077,f2193,f2330]) ).
thf(f9228,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_32
| ~ spl0_83 ),
inference(constrained_superposition,[],[f8867,f2145]) ).
thf(f9233,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_32
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f9228]) ).
thf(f9244,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_84
| ~ spl0_150 ),
inference(constrained_superposition,[],[f5032,f2148]) ).
thf(f9249,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_84
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f9244]) ).
thf(f9298,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_161
| ~ spl0_163 ),
inference(constrained_superposition,[],[f8900,f5658]) ).
thf(f9301,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_158
| ~ spl0_163 ),
inference(constrained_superposition,[],[f8900,f5645]) ).
thf(f9311,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_161
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f9298]) ).
thf(f9312,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_158
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f9301]) ).
thf(f9314,plain,
( $false
| ~ spl0_37
| ~ spl0_158
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f9312,f427]) ).
thf(f9315,plain,
( ~ spl0_37
| ~ spl0_158
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f9314]) ).
thf(f9320,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_83
| ~ spl0_191 ),
inference(constrained_superposition,[],[f6785,f2145]) ).
thf(f9324,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_83
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f9320]) ).
thf(f9345,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_147
| ~ spl0_163 ),
inference(constrained_superposition,[],[f8900,f4717]) ).
thf(f9354,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_147
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f9345]) ).
thf(f9357,plain,
( $false
| ~ spl0_124
| ~ spl0_147
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f9354,f2967]) ).
thf(f9358,plain,
( ~ spl0_124
| ~ spl0_147
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f9357]) ).
thf(f9381,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f129,f4714]) ).
thf(f9385,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_146
| ~ spl0_205 ),
inference(constrained_superposition,[],[f9078,f4714]) ).
thf(f9386,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_121
| ~ spl0_146 ),
inference(constrained_superposition,[],[f2875,f4714]) ).
thf(f9397,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f9381]) ).
thf(f9399,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_121
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f9386]) ).
thf(f9402,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_146
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f9385]) ).
thf(f9403,plain,
( spl0_175
| ~ spl0_171
| ~ spl0_121
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f9399,f4713,f2874,f5785,f5992]) ).
thf(f9404,plain,
( ~ spl0_172
| ~ spl0_146
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f9402,f9077,f4713,f5788]) ).
thf(f9406,plain,
( spl0_121
| spl0_159
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f9397,f4713,f5648,f2874]) ).
thf(f9408,plain,
( ~ spl0_82
| ~ spl0_32
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f9233,f2144,f406,f2133]) ).
thf(f9409,plain,
( ~ spl0_27
| ~ spl0_92
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f9112,f2966,f2258,f388]) ).
thf(f9419,plain,
( spl0_107
| ~ spl0_27
| ~ spl0_11
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f9109,f2966,f220,f388,f2439]) ).
thf(f9424,definition,
( spl0_207
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f9425,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_207 ),
inference(avatar_component_clause,[],[f9424]) ).
thf(f9426,plain,
( ~ spl0_207
| spl0_111
| ~ spl0_23
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f9196,f4211,f346,f2534,f9424]) ).
thf(f9428,plain,
( ~ spl0_17
| ~ spl0_84
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f9249,f5031,f2147,f240]) ).
thf(f9430,plain,
( ~ spl0_21
| ~ spl0_83
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f9324,f6784,f2144,f285]) ).
thf(f9438,plain,
( ~ spl0_27
| ~ spl0_161
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f9311,f5664,f5657,f388]) ).
thf(f9465,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f27,f3250]) ).
thf(f9466,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f9465]) ).
thf(f9467,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_17
| ~ spl0_32 ),
inference(constrained_superposition,[],[f8867,f241]) ).
thf(f9469,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_17
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f9467]) ).
thf(f9471,plain,
( $false
| ~ spl0_17
| ~ spl0_32
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f9469,f3250]) ).
thf(f9472,plain,
( ~ spl0_17
| ~ spl0_32
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f9471]) ).
thf(f9504,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_93 ),
inference(constrained_superposition,[],[f2263,f190]) ).
thf(f9511,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_93 ),
inference(trivial_inequality_removal,[],[f9504]) ).
thf(f9512,plain,
( $false
| ~ spl0_22
| spl0_93 ),
inference(forward_subsumption_resolution,[],[f9511,f344]) ).
thf(f9513,plain,
( ~ spl0_22
| spl0_93 ),
inference(avatar_contradiction_clause,[],[f9512]) ).
thf(f9597,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_94 ),
inference(constrained_superposition,[],[f101,f2266]) ).
thf(f9606,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f9597]) ).
thf(f9614,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_159 ),
inference(constrained_superposition,[],[f1665,f5649]) ).
thf(f9617,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f9614]) ).
thf(f9644,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_79
| ~ spl0_89 ),
inference(constrained_superposition,[],[f2124,f2201]) ).
thf(f9648,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_79
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f9644]) ).
thf(f9652,plain,
( $false
| ~ spl0_79
| ~ spl0_89
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f9648,f2440]) ).
thf(f9653,plain,
( ~ spl0_79
| ~ spl0_89
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f9652]) ).
thf(f9679,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_64
| ~ spl0_111 ),
inference(constrained_superposition,[],[f9466,f2535]) ).
thf(f9682,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_64
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f9679]) ).
thf(f9687,plain,
( spl0_17
| spl0_105
| spl0_106
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f9606,f2265,f2410,f2407,f240]) ).
thf(f9691,definition,
( spl0_210
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
thf(f9692,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f9691]) ).
thf(f9693,plain,
( ~ spl0_17
| spl0_210
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f9617,f5648,f9691,f240]) ).
thf(f9754,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_95 ),
inference(constrained_superposition,[],[f2312,f36]) ).
thf(f9766,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f9754]) ).
thf(f9790,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_207 ),
inference(constrained_superposition,[],[f9425,f189]) ).
thf(f9796,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_207 ),
inference(trivial_inequality_removal,[],[f9790]) ).
thf(f9800,plain,
( spl0_161
| spl0_207 ),
inference(avatar_split_clause,[],[f9796,f9424,f5657]) ).
thf(f9844,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_88
| ~ spl0_97 ),
inference(constrained_superposition,[],[f2319,f2198]) ).
thf(f9851,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_88
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f9844]) ).
thf(f9856,plain,
( ~ spl0_112
| ~ spl0_88
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f9851,f2318,f2197,f2537]) ).
thf(f9957,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_124
| ~ spl0_149 ),
inference(constrained_superposition,[],[f8701,f4724]) ).
thf(f9962,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_124
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f9957]) ).
thf(f9968,plain,
( $false
| ~ spl0_124
| ~ spl0_149
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f9962,f5665]) ).
thf(f9969,plain,
( ~ spl0_124
| ~ spl0_149
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f9968]) ).
thf(f9994,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_105
| ~ spl0_146 ),
inference(constrained_superposition,[],[f2408,f4714]) ).
thf(f10003,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_105
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f9994]) ).
thf(f10005,plain,
( ~ spl0_207
| ~ spl0_105
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f10003,f4713,f2407,f9424]) ).
thf(f10011,plain,
( spl0_163
| spl0_177 ),
inference(avatar_split_clause,[],[f8909,f6071,f5664]) ).
thf(f10028,plain,
( spl0_121
| spl0_84
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f9045,f2193,f2147,f2874]) ).
thf(f10034,plain,
( ~ spl0_82
| ~ spl0_64
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f9682,f2534,f1307,f2133]) ).
thf(f10039,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_4
| spl0_85
| ~ spl0_144 ),
inference(forward_subsumption_resolution,[],[f9200,f2154]) ).
thf(f10041,plain,
( ~ spl0_35
| spl0_64
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f9766,f2311,f1307,f416]) ).
thf(f10045,plain,
( ~ spl0_177
| ~ spl0_4
| spl0_85
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f10039,f4211,f2153,f67,f6071]) ).
thf(f10079,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_80 ),
inference(constrained_superposition,[],[f68,f2127]) ).
thf(f10081,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f10079]) ).
thf(f10086,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_80
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f10081,f2154]) ).
thf(f10089,plain,
( ~ spl0_26
| ~ spl0_4
| ~ spl0_80
| spl0_85 ),
inference(avatar_split_clause,[],[f10086,f2153,f2126,f67,f385]) ).
thf(f10092,definition,
( spl0_216
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
thf(f10093,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f10092]) ).
thf(f10185,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_123
| ~ spl0_145 ),
inference(constrained_superposition,[],[f4417,f2928]) ).
thf(f10191,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_123
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f10185]) ).
thf(f10203,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_86
| ~ spl0_191 ),
inference(constrained_superposition,[],[f6785,f2191]) ).
thf(f10207,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_86
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f10203]) ).
thf(f10216,plain,
( ~ spl0_92
| ~ spl0_86
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f10207,f6784,f2190,f2258]) ).
thf(f10260,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_122 ),
inference(constrained_superposition,[],[f2880,f189]) ).
thf(f10261,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_122 ),
inference(constrained_superposition,[],[f2880,f88]) ).
thf(f10266,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f10261]) ).
thf(f10272,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f10260]) ).
thf(f10273,plain,
( spl0_109
| ~ spl0_35
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f10266,f2879,f416,f2446]) ).
thf(f10274,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_92
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f10272,f2259]) ).
thf(f10275,plain,
( ~ spl0_48
| spl0_92
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f10274,f2879,f2258,f719]) ).
thf(f10286,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_142
| ~ spl0_191 ),
inference(constrained_superposition,[],[f6785,f4205]) ).
thf(f10287,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f1665,f4205]) ).
thf(f10289,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f10287]) ).
thf(f10291,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_142
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f10286]) ).
thf(f10292,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_93
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f10289,f5053]) ).
thf(f10293,plain,
( $false
| ~ spl0_142
| ~ spl0_161
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f10291,f5658]) ).
thf(f10294,plain,
( ~ spl0_142
| ~ spl0_161
| ~ spl0_191 ),
inference(avatar_contradiction_clause,[],[f10293]) ).
thf(f10295,plain,
( spl0_210
| ~ spl0_93
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f10292,f4204,f2262,f9691]) ).
thf(f10304,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_92 ),
inference(constrained_superposition,[],[f27,f2753]) ).
thf(f10306,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_92 ),
inference(trivial_inequality_removal,[],[f10304]) ).
thf(f10368,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_143
| ~ spl0_150 ),
inference(constrained_superposition,[],[f5032,f4209]) ).
thf(f10369,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f1665,f4209]) ).
thf(f10371,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f10369]) ).
thf(f10372,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_143
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f10368]) ).
thf(f10374,plain,
( ~ spl0_178
| spl0_127
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f10371,f4208,f3000,f6101]) ).
thf(f10375,plain,
( ~ spl0_178
| ~ spl0_143
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f10372,f5031,f4208,f6101]) ).
thf(f10376,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_178 ),
inference(constrained_superposition,[],[f6102,f190]) ).
thf(f10379,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_178 ),
inference(trivial_inequality_removal,[],[f10376]) ).
thf(f10422,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_89
| ~ spl0_92 ),
inference(constrained_superposition,[],[f10306,f2201]) ).
thf(f10432,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_89
| ~ spl0_92 ),
inference(trivial_inequality_removal,[],[f10422]) ).
thf(f10435,plain,
( $false
| ~ spl0_89
| ~ spl0_92
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f10432,f2535]) ).
thf(f10436,plain,
( ~ spl0_89
| ~ spl0_92
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f10435]) ).
thf(f10437,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_123
| spl0_133
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f10191,f4125]) ).
thf(f10460,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_123
| spl0_133
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f10437,f29]) ).
thf(f10461,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_83 ),
inference(avatar_component_clause,[],[f2144]) ).
thf(f10462,plain,
( ~ spl0_83
| spl0_27
| ~ spl0_123
| spl0_133
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f10460,f4416,f4124,f2927,f388,f2144]) ).
thf(f10476,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_64
| ~ spl0_78 ),
inference(constrained_superposition,[],[f2117,f3250]) ).
thf(f10478,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_64
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f10476]) ).
thf(f10498,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| spl0_83 ),
inference(constrained_superposition,[],[f10461,f1319]) ).
thf(f10500,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| spl0_83 ),
inference(trivial_inequality_removal,[],[f10498]) ).
thf(f10502,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_4
| spl0_83
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f10500,f2154]) ).
thf(f10504,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_4
| spl0_83
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f10502,f29]) ).
thf(f10507,plain,
( $false
| ~ spl0_4
| ~ spl0_64
| ~ spl0_78
| spl0_83
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f10504,f10478]) ).
thf(f10508,plain,
( ~ spl0_4
| ~ spl0_64
| ~ spl0_78
| spl0_83
| spl0_85 ),
inference(avatar_contradiction_clause,[],[f10507]) ).
thf(f10513,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f65,f36]) ).
thf(f10515,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ X0 ) )
= $true )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f10513]) ).
thf(f10521,plain,
( ( $true != $true )
| ~ spl0_3
| spl0_82 ),
inference(constrained_superposition,[],[f5160,f10515]) ).
thf(f10525,plain,
( $false
| ~ spl0_3
| spl0_82 ),
inference(trivial_inequality_removal,[],[f10521]) ).
thf(f10526,plain,
( ~ spl0_3
| spl0_82 ),
inference(avatar_contradiction_clause,[],[f10525]) ).
thf(f10532,plain,
( $false
| ~ spl0_3
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f1308,f10515]) ).
thf(f10533,plain,
( ~ spl0_3
| spl0_64 ),
inference(avatar_contradiction_clause,[],[f10532]) ).
thf(f10535,plain,
( $false
| ~ spl0_3
| spl0_168 ),
inference(forward_subsumption_resolution,[],[f8094,f10515]) ).
thf(f10536,plain,
( ~ spl0_3
| spl0_168 ),
inference(avatar_contradiction_clause,[],[f10535]) ).
thf(f10537,plain,
( spl0_210
| spl0_178 ),
inference(avatar_split_clause,[],[f10379,f6101,f9691]) ).
thf(f10567,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f27,f2530]) ).
thf(f10568,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f10567]) ).
thf(f10686,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_92 ),
inference(constrained_superposition,[],[f27,f2753]) ).
thf(f10687,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_92 ),
inference(trivial_inequality_removal,[],[f10686]) ).
thf(f10697,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_78
| ~ spl0_92 ),
inference(constrained_superposition,[],[f2117,f2753]) ).
thf(f10700,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_78
| ~ spl0_92 ),
inference(trivial_inequality_removal,[],[f10697]) ).
thf(f10702,plain,
( $false
| ~ spl0_78
| ~ spl0_92
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f10700,f2440]) ).
thf(f10703,plain,
( ~ spl0_78
| ~ spl0_92
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f10702]) ).
thf(f10727,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f2549,f189]) ).
thf(f10736,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f10727]) ).
thf(f10739,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_111
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f10736,f5166]) ).
thf(f10740,plain,
( ~ spl0_48
| spl0_111
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f10739,f2548,f2534,f719]) ).
thf(f10752,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_128
| ~ spl0_145 ),
inference(constrained_superposition,[],[f4417,f8516]) ).
thf(f10756,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_128
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f10752]) ).
thf(f10764,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_88 ),
inference(constrained_superposition,[],[f129,f2198]) ).
thf(f10774,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f10764]) ).
thf(f10778,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_78
| ~ spl0_88
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f10774,f10700]) ).
thf(f10781,plain,
( spl0_119
| ~ spl0_78
| ~ spl0_88
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f10778,f2258,f2197,f2116,f2745]) ).
thf(f10860,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_94 ),
inference(constrained_superposition,[],[f68,f2266]) ).
thf(f10869,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f10860]) ).
thf(f10879,plain,
( spl0_124
| ~ spl0_63
| ~ spl0_4
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f10869,f2265,f67,f1267,f2966]) ).
thf(f10880,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f27,f2967]) ).
thf(f10881,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f10880]) ).
thf(f10907,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_78
| ~ spl0_161 ),
inference(constrained_superposition,[],[f2117,f5658]) ).
thf(f10910,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_78
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f10907]) ).
thf(f10920,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_89
| ~ spl0_124 ),
inference(constrained_superposition,[],[f10881,f2201]) ).
thf(f10922,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_89
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f10920]) ).
thf(f10925,plain,
( $false
| ~ spl0_85
| ~ spl0_89
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f10922,f2530]) ).
thf(f10926,plain,
( ~ spl0_85
| ~ spl0_89
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f10925]) ).
thf(f10933,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_85
| ~ spl0_86 ),
inference(constrained_superposition,[],[f10568,f2191]) ).
thf(f10937,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_85
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f10933]) ).
thf(f10939,plain,
( $false
| ~ spl0_85
| ~ spl0_86
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f10937,f2967]) ).
thf(f10940,plain,
( ~ spl0_85
| ~ spl0_86
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f10939]) ).
thf(f10941,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f27,f5665]) ).
thf(f10942,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f10941]) ).
thf(f10973,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_210 ),
inference(constrained_superposition,[],[f68,f9692]) ).
thf(f10979,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f10973]) ).
thf(f10984,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_85
| ~ spl0_142 ),
inference(constrained_superposition,[],[f10568,f4205]) ).
thf(f10988,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_85
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f10984]) ).
thf(f10990,plain,
( $false
| ~ spl0_85
| ~ spl0_142
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f10988,f5665]) ).
thf(f10991,plain,
( ~ spl0_85
| ~ spl0_142
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f10990]) ).
thf(f11039,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_88
| ~ spl0_216 ),
inference(constrained_superposition,[],[f10093,f2198]) ).
thf(f11047,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_88
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f11039]) ).
thf(f11051,plain,
( ~ spl0_103
| ~ spl0_88
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f11047,f10092,f2197,f2399]) ).
thf(f11052,plain,
( $false
| ~ spl0_109
| ~ spl0_128
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f2447,f10756]) ).
thf(f11053,plain,
( ~ spl0_109
| ~ spl0_128
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f11052]) ).
thf(f11057,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f27,f3250]) ).
thf(f11058,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f11057]) ).
thf(f11060,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_64
| ~ spl0_92 ),
inference(constrained_superposition,[],[f11058,f2753]) ).
thf(f11066,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_64
| ~ spl0_92 ),
inference(trivial_inequality_removal,[],[f11060]) ).
thf(f11103,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f129,f4212]) ).
thf(f11107,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_144
| ~ spl0_216 ),
inference(constrained_superposition,[],[f10093,f4212]) ).
thf(f11115,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f11103]) ).
thf(f11117,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_144
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f11107]) ).
thf(f11121,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_78
| ~ spl0_144
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f11115,f10910]) ).
thf(f11122,plain,
( ~ spl0_172
| ~ spl0_144
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f11117,f10092,f4211,f5788]) ).
thf(f11124,plain,
( spl0_119
| ~ spl0_78
| ~ spl0_144
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f11121,f5657,f4211,f2116,f2745]) ).
thf(f11132,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_205 ),
inference(constrained_superposition,[],[f9078,f36]) ).
thf(f11139,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f11132]) ).
thf(f11143,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_64
| ~ spl0_92
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f11139,f11066]) ).
thf(f11144,plain,
( ~ spl0_35
| ~ spl0_64
| ~ spl0_92
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f11143,f9077,f2258,f1307,f416]) ).
thf(f11146,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_143
| ~ spl0_163 ),
inference(constrained_superposition,[],[f10942,f4209]) ).
thf(f11148,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_143
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f11146]) ).
thf(f11151,plain,
( $false
| ~ spl0_85
| ~ spl0_143
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f11148,f2530]) ).
thf(f11152,plain,
( ~ spl0_85
| ~ spl0_143
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f11151]) ).
thf(f11164,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f129,f4212]) ).
thf(f11179,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f11164]) ).
thf(f11194,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f1665,f4717]) ).
thf(f11197,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f11194]) ).
thf(f11205,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_92
| ~ spl0_149 ),
inference(constrained_superposition,[],[f10687,f4724]) ).
thf(f11208,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_92
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f11205]) ).
thf(f11209,plain,
( $false
| ~ spl0_92
| ~ spl0_149
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f11208,f5658]) ).
thf(f11210,plain,
( ~ spl0_92
| ~ spl0_149
| ~ spl0_161 ),
inference(avatar_contradiction_clause,[],[f11209]) ).
thf(f11234,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_175 ),
inference(constrained_superposition,[],[f5993,f36]) ).
thf(f11238,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_148
| ~ spl0_175 ),
inference(constrained_superposition,[],[f5993,f4721]) ).
thf(f11242,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f11234]) ).
thf(f11248,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_148
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f11238]) ).
thf(f11249,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_168
| ~ spl0_175 ),
inference(forward_subsumption_resolution,[],[f11242,f8094]) ).
thf(f11250,plain,
( ~ spl0_103
| ~ spl0_148
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f11248,f5992,f4720,f2399]) ).
thf(f11251,plain,
( ~ spl0_35
| spl0_168
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f11249,f5992,f5688,f416]) ).
thf(f11252,plain,
( $false
| ~ spl0_78
| ~ spl0_159
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f5649,f10910]) ).
thf(f11253,plain,
( ~ spl0_78
| ~ spl0_159
| ~ spl0_161 ),
inference(avatar_contradiction_clause,[],[f11252]) ).
thf(f11255,plain,
( ~ spl0_63
| spl0_163
| ~ spl0_4
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f10979,f9691,f67,f5664,f1267]) ).
thf(f11259,plain,
( spl0_159
| spl0_119
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f11179,f4211,f2745,f5648]) ).
thf(f11262,plain,
( spl0_94
| ~ spl0_178
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f11197,f4716,f6101,f2265]) ).
thf(f11264,plain,
( ( $true != $true )
| ~ spl0_22
| ~ spl0_127 ),
inference(constrained_superposition,[],[f344,f3001]) ).
thf(f11271,plain,
( $false
| ~ spl0_22
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f11264]) ).
thf(f11272,plain,
( ~ spl0_22
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f11271]) ).
thf(f11290,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_27
| ~ spl0_145 ),
inference(constrained_superposition,[],[f4417,f389]) ).
thf(f11291,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f27,f389]) ).
thf(f11292,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_27
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f11290]) ).
thf(f11293,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f11291]) ).
thf(f11296,plain,
( ~ spl0_32
| ~ spl0_27
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f11292,f4416,f388,f406]) ).
thf(f11316,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_127
| ~ spl0_216 ),
inference(constrained_superposition,[],[f10093,f3001]) ).
thf(f11325,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_127
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f11316]) ).
thf(f11335,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_92
| ~ spl0_109 ),
inference(constrained_superposition,[],[f10687,f2447]) ).
thf(f11337,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_92
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f11335]) ).
thf(f11339,plain,
( $false
| ~ spl0_21
| ~ spl0_92
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f11337,f286]) ).
thf(f11340,plain,
( ~ spl0_21
| ~ spl0_92
| ~ spl0_109 ),
inference(avatar_contradiction_clause,[],[f11339]) ).
thf(f11341,plain,
( ~ spl0_13
| ~ spl0_127
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f11325,f10092,f3000,f227]) ).
thf(f11360,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f27,f3250]) ).
thf(f11362,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f11360]) ).
thf(f11396,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_101 ),
inference(constrained_superposition,[],[f2393,f28]) ).
thf(f11399,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_101 ),
inference(trivial_inequality_removal,[],[f11396]) ).
thf(f11401,plain,
( spl0_107
| spl0_108
| spl0_101 ),
inference(avatar_split_clause,[],[f11399,f2392,f2442,f2439]) ).
thf(f11402,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f1665,f2440]) ).
thf(f11404,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f11402]) ).
thf(f11411,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_27
| ~ spl0_93 ),
inference(constrained_superposition,[],[f11293,f5053]) ).
thf(f11415,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_27
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f11411]) ).
thf(f11418,plain,
( $false
| ~ spl0_27
| ~ spl0_85
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f11415,f2530]) ).
thf(f11419,plain,
( ~ spl0_27
| ~ spl0_85
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f11418]) ).
thf(f11421,plain,
( ~ spl0_17
| spl0_94
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f11404,f2439,f2265,f240]) ).
thf(f11455,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_127 ),
inference(constrained_superposition,[],[f50,f3001]) ).
thf(f11456,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_127 ),
inference(constrained_superposition,[],[f44,f3001]) ).
thf(f11460,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f11455]) ).
thf(f11462,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f11456]) ).
thf(f11523,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f27,f2134]) ).
thf(f11524,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f11523]) ).
thf(f11543,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_87 ),
inference(constrained_superposition,[],[f129,f2194]) ).
thf(f11553,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f11543]) ).
thf(f11556,plain,
( spl0_84
| spl0_121
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f11553,f2193,f2874,f2147]) ).
thf(f11565,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_64
| ~ spl0_161 ),
inference(constrained_superposition,[],[f11362,f5658]) ).
thf(f11570,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_64
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f11565]) ).
thf(f11571,plain,
( $false
| ~ spl0_64
| ~ spl0_161
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f11570,f5689]) ).
thf(f11572,plain,
( ~ spl0_64
| ~ spl0_161
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f11571]) ).
thf(f11577,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f65,f36]) ).
thf(f11579,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ X0 ) )
= $true )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f11577]) ).
thf(f11603,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f101,f4414]) ).
thf(f11610,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f11603]) ).
thf(f11611,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f11610]) ).
thf(f11615,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_13
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f11611,f1958]) ).
thf(f11617,plain,
( spl0_6
| spl0_95
| ~ spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f11615,f240,f227,f2311,f115]) ).
thf(f11618,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_82
| ~ spl0_84 ),
inference(constrained_superposition,[],[f11524,f2148]) ).
thf(f11623,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_82
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f11618]) ).
thf(f11624,plain,
( $false
| ~ spl0_3
| ~ spl0_82
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f11623,f11579]) ).
thf(f11625,plain,
( ~ spl0_3
| ~ spl0_82
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f11624]) ).
thf(f11626,plain,
( spl0_114
| spl0_97
| spl0_27
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f11460,f3000,f388,f2318,f2548]) ).
thf(f11627,plain,
( spl0_64
| spl0_117
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f11462,f3000,f2642,f1307]) ).
thf(f11660,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f50,f2127]) ).
thf(f11665,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f11660]) ).
thf(f11667,plain,
( spl0_114
| spl0_216
| spl0_37
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f11665,f2126,f426,f10092,f2548]) ).
thf(f11669,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_120 ),
inference(constrained_superposition,[],[f27,f2751]) ).
thf(f11670,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_120 ),
inference(trivial_inequality_removal,[],[f11669]) ).
thf(f11724,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_78
| ~ spl0_111 ),
inference(constrained_superposition,[],[f2117,f2535]) ).
thf(f11726,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_78
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f11724]) ).
thf(f11779,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_78
| ~ spl0_161 ),
inference(constrained_superposition,[],[f2117,f5658]) ).
thf(f11781,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_78
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f11779]) ).
thf(f11794,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_107
| ~ spl0_120 ),
inference(constrained_superposition,[],[f11670,f2440]) ).
thf(f11799,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_107
| ~ spl0_120 ),
inference(trivial_inequality_removal,[],[f11794]) ).
thf(f11803,plain,
( ~ spl0_32
| ~ spl0_107
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f11799,f2750,f2439,f406]) ).
thf(f11805,plain,
( ( $true != $true )
| ~ spl0_78
| ~ spl0_161
| ~ spl0_194 ),
inference(constrained_superposition,[],[f11781,f7371]) ).
thf(f11806,plain,
( ( $true != $true )
| ~ spl0_78
| ~ spl0_111
| ~ spl0_194 ),
inference(constrained_superposition,[],[f11726,f7371]) ).
thf(f11814,plain,
( $false
| ~ spl0_78
| ~ spl0_111
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f11806]) ).
thf(f11815,plain,
( ~ spl0_78
| ~ spl0_111
| ~ spl0_194 ),
inference(avatar_contradiction_clause,[],[f11814]) ).
thf(f11817,plain,
( $false
| ~ spl0_78
| ~ spl0_161
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f11805]) ).
thf(f11818,plain,
( ~ spl0_78
| ~ spl0_161
| ~ spl0_194 ),
inference(avatar_contradiction_clause,[],[f11817]) ).
thf(f11837,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_103 ),
inference(constrained_superposition,[],[f2400,f28]) ).
thf(f11840,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_103 ),
inference(trivial_inequality_removal,[],[f11837]) ).
thf(f11842,plain,
( spl0_108
| spl0_109
| spl0_103 ),
inference(avatar_split_clause,[],[f11840,f2399,f2446,f2442]) ).
thf(f11848,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_82
| ~ spl0_93 ),
inference(constrained_superposition,[],[f11524,f5053]) ).
thf(f11851,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_82
| ~ spl0_93 ),
inference(trivial_inequality_removal,[],[f11848]) ).
thf(f11961,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_85
| ~ spl0_191 ),
inference(constrained_superposition,[],[f6785,f2530]) ).
thf(f11964,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_85
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f11961]) ).
thf(f12066,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_94 ),
inference(constrained_superposition,[],[f50,f2266]) ).
thf(f12073,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f12066]) ).
thf(f12077,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| spl0_27
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f12073,f8709]) ).
thf(f12078,plain,
( spl0_122
| spl0_105
| spl0_27
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f12077,f2265,f388,f2407,f2879]) ).
thf(f12085,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f6101]) ).
thf(f12090,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_145
| ~ spl0_178 ),
inference(constrained_superposition,[],[f4417,f12085]) ).
thf(f12094,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_145
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f12090]) ).
thf(f12098,plain,
( $false
| ~ spl0_145
| ~ spl0_158
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f12094,f5645]) ).
thf(f12099,plain,
( ~ spl0_145
| ~ spl0_158
| ~ spl0_178 ),
inference(avatar_contradiction_clause,[],[f12098]) ).
thf(f12121,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_87
| ~ spl0_105 ),
inference(constrained_superposition,[],[f2408,f2194]) ).
thf(f12132,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_87
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f12121]) ).
thf(f12133,plain,
( ~ spl0_162
| ~ spl0_87
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f12132,f2407,f2193,f5660]) ).
thf(f12146,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_141
| ~ spl0_175 ),
inference(constrained_superposition,[],[f5993,f4202]) ).
thf(f12151,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_141
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f12146]) ).
thf(f12158,plain,
( ~ spl0_100
| ~ spl0_141
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f12151,f5992,f4201,f2330]) ).
thf(f12162,plain,
( ~ spl0_64
| ~ spl0_85
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f11964,f6784,f2153,f1307]) ).
thf(f12167,plain,
( ~ spl0_64
| ~ spl0_82
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f11851,f2262,f2133,f1307]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f69]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f117]) ).
cnf(s8,plain,
( ~ spl0_5
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f242]) ).
cnf(s12,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f274]) ).
cnf(s17,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f298]) ).
cnf(s19,plain,
( spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f316]) ).
cnf(s21,plain,
( spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f348]) ).
cnf(s22,plain,
( spl0_17
| ~ spl0_22 ),
inference(sat_conversion,[],[f359]) ).
cnf(s25,plain,
( ~ spl0_3
| ~ spl0_17 ),
inference(sat_conversion,[],[f376]) ).
cnf(s30,plain,
( spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f411]) ).
cnf(s33,plain,
( ~ spl0_22
| spl0_27 ),
inference(sat_conversion,[],[f420]) ).
cnf(s39,plain,
( spl0_11
| ~ spl0_14
| ~ spl0_23 ),
inference(sat_conversion,[],[f521]) ).
cnf(s46,plain,
( ~ spl0_23
| spl0_24
| ~ spl0_48 ),
inference(sat_conversion,[],[f721]) ).
cnf(s83,plain,
( ~ spl0_17
| ~ spl0_27
| ~ spl0_37 ),
inference(sat_conversion,[],[f1917]) ).
cnf(s84,plain,
( spl0_26
| spl0_37 ),
inference(sat_conversion,[],[f1920]) ).
cnf(s85,plain,
( ~ spl0_4
| spl0_9
| spl0_37 ),
inference(sat_conversion,[],[f1921]) ).
cnf(s87,plain,
( ~ spl0_4
| spl0_34
| spl0_37 ),
inference(sat_conversion,[],[f1926]) ).
cnf(s90,plain,
( ~ spl0_6
| spl0_37 ),
inference(sat_conversion,[],[f1937]) ).
cnf(s96,plain,
( ~ spl0_6
| spl0_21 ),
inference(sat_conversion,[],[f1956]) ).
cnf(s113,plain,
~ spl0_20,
inference(sat_conversion,[],[f2173]) ).
cnf(s119,plain,
( ~ spl0_21
| ~ spl0_27
| ~ spl0_37 ),
inference(sat_conversion,[],[f2208]) ).
cnf(s120,plain,
( ~ spl0_21
| spl0_78 ),
inference(sat_conversion,[],[f2209]) ).
cnf(s127,plain,
( ~ spl0_5
| ~ spl0_13
| spl0_83
| spl0_93 ),
inference(sat_conversion,[],[f2308]) ).
cnf(s130,plain,
( ~ spl0_10
| spl0_17
| ~ spl0_80
| spl0_93
| ~ spl0_99 ),
inference(sat_conversion,[],[f2328]) ).
cnf(s137,plain,
( ~ spl0_15
| ~ spl0_32
| spl0_92
| spl0_104 ),
inference(sat_conversion,[],[f2421]) ).
cnf(s138,plain,
( ~ spl0_15
| ~ spl0_24
| ~ spl0_32
| spl0_92 ),
inference(sat_conversion,[],[f2437]) ).
cnf(s140,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_94
| spl0_109 ),
inference(sat_conversion,[],[f2448]) ).
cnf(s143,plain,
( spl0_81
| ~ spl0_83 ),
inference(sat_conversion,[],[f2457]) ).
cnf(s144,plain,
( ~ spl0_37
| ~ spl0_84
| ~ spl0_85 ),
inference(sat_conversion,[],[f2466]) ).
cnf(s145,plain,
( spl0_79
| ~ spl0_84 ),
inference(sat_conversion,[],[f2467]) ).
cnf(s146,plain,
( spl0_32
| spl0_35 ),
inference(sat_conversion,[],[f2468]) ).
cnf(s152,plain,
( ~ spl0_23
| ~ spl0_88
| spl0_111
| ~ spl0_112 ),
inference(sat_conversion,[],[f2539]) ).
cnf(s161,plain,
( spl0_80
| spl0_84
| spl0_116 ),
inference(sat_conversion,[],[f2614]) ).
cnf(s162,plain,
( spl0_80
| spl0_84 ),
inference(sat_conversion,[],[f2615]) ).
cnf(s165,plain,
( ~ spl0_14
| ~ spl0_23
| ~ spl0_80
| spl0_111 ),
inference(sat_conversion,[],[f2645]) ).
cnf(s168,plain,
( spl0_92
| spl0_112
| spl0_116 ),
inference(sat_conversion,[],[f2673]) ).
cnf(s169,plain,
( ~ spl0_27
| ~ spl0_85
| ~ spl0_111 ),
inference(sat_conversion,[],[f2706]) ).
cnf(s170,plain,
( ~ spl0_37
| ~ spl0_83
| ~ spl0_85 ),
inference(sat_conversion,[],[f2709]) ).
cnf(s172,plain,
( ~ spl0_24
| ~ spl0_27
| spl0_82
| ~ spl0_85 ),
inference(sat_conversion,[],[f2711]) ).
cnf(s173,plain,
( spl0_85
| spl0_99 ),
inference(sat_conversion,[],[f2713]) ).
cnf(s178,plain,
( ~ spl0_37
| spl0_102
| ~ spl0_107 ),
inference(sat_conversion,[],[f2743]) ).
cnf(s179,plain,
( ~ spl0_88
| spl0_107
| spl0_119 ),
inference(sat_conversion,[],[f2747]) ).
cnf(s180,plain,
( ~ spl0_11
| spl0_92
| spl0_107 ),
inference(sat_conversion,[],[f2748]) ).
cnf(s189,plain,
( ~ spl0_87
| ~ spl0_104
| ~ spl0_114 ),
inference(sat_conversion,[],[f2872]) ).
cnf(s195,plain,
( ~ spl0_4
| ~ spl0_32
| ~ spl0_81
| spl0_123 ),
inference(sat_conversion,[],[f2930]) ).
cnf(s196,plain,
( ~ spl0_37
| spl0_102
| ~ spl0_109 ),
inference(sat_conversion,[],[f2960]) ).
cnf(s202,plain,
( ~ spl0_82
| ~ spl0_89
| ~ spl0_120 ),
inference(sat_conversion,[],[f2997]) ).
cnf(s208,plain,
( ~ spl0_37
| ~ spl0_107
| ~ spl0_124 ),
inference(sat_conversion,[],[f3021]) ).
cnf(s211,plain,
( spl0_83
| spl0_100 ),
inference(sat_conversion,[],[f3055]) ).
cnf(s212,plain,
( ~ spl0_35
| spl0_83
| ~ spl0_114 ),
inference(sat_conversion,[],[f3056]) ).
cnf(s226,plain,
( ~ spl0_24
| spl0_92
| spl0_120 ),
inference(sat_conversion,[],[f3118]) ).
cnf(s237,plain,
( spl0_48
| spl0_64 ),
inference(sat_conversion,[],[f3256]) ).
cnf(s245,plain,
( spl0_10
| ~ spl0_80
| spl0_85 ),
inference(sat_conversion,[],[f3547]) ).
cnf(s313,plain,
~ spl0_116,
inference(sat_conversion,[],[f4460]) ).
cnf(s319,plain,
( spl0_116
| spl0_141
| spl0_142 ),
inference(sat_conversion,[],[f4482]) ).
cnf(s320,plain,
( spl0_116
| spl0_143
| spl0_144 ),
inference(sat_conversion,[],[f4483]) ).
cnf(s349,plain,
~ spl0_108,
inference(sat_conversion,[],[f4690]) ).
cnf(s429,plain,
( ~ spl0_4
| ~ spl0_89
| spl0_124
| spl0_157 ),
inference(sat_conversion,[],[f5202]) ).
cnf(s455,plain,
( ~ spl0_27
| spl0_94
| ~ spl0_124 ),
inference(sat_conversion,[],[f5405]) ).
cnf(s456,plain,
( spl0_93
| spl0_127 ),
inference(sat_conversion,[],[f5420]) ).
cnf(s457,plain,
( ~ spl0_127
| spl0_135 ),
inference(sat_conversion,[],[f5455]) ).
cnf(s464,plain,
( ~ spl0_84
| ~ spl0_89
| ~ spl0_109 ),
inference(sat_conversion,[],[f5493]) ).
cnf(s469,plain,
( ~ spl0_5
| ~ spl0_100
| ~ spl0_141
| spl0_158 ),
inference(sat_conversion,[],[f5646]) ).
cnf(s471,plain,
( ~ spl0_23
| ~ spl0_141
| spl0_161
| ~ spl0_162 ),
inference(sat_conversion,[],[f5662]) ).
cnf(s472,plain,
( ~ spl0_4
| ~ spl0_99
| ~ spl0_141
| spl0_163 ),
inference(sat_conversion,[],[f5666]) ).
cnf(s481,plain,
( spl0_111
| spl0_162 ),
inference(sat_conversion,[],[f5710]) ).
cnf(s483,plain,
( ~ spl0_7
| spl0_17
| ~ spl0_27
| ~ spl0_163
| ~ spl0_171
| ~ spl0_172 ),
inference(sat_conversion,[],[f5790]) ).
cnf(s492,plain,
( spl0_158
| spl0_172 ),
inference(sat_conversion,[],[f5898]) ).
cnf(s498,plain,
( ~ spl0_37
| ~ spl0_159
| ~ spl0_163 ),
inference(sat_conversion,[],[f5934]) ).
cnf(s508,plain,
( ~ spl0_4
| spl0_124
| ~ spl0_146
| ~ spl0_177 ),
inference(sat_conversion,[],[f6073]) ).
cnf(s526,plain,
( ~ spl0_5
| ~ spl0_81
| ~ spl0_103
| ~ spl0_142
| ~ spl0_148 ),
inference(sat_conversion,[],[f6163]) ).
cnf(s531,plain,
( ~ spl0_4
| ~ spl0_92
| spl0_124
| spl0_182 ),
inference(sat_conversion,[],[f6198]) ).
cnf(s614,plain,
( ~ spl0_9
| ~ spl0_83
| ~ spl0_142
| spl0_163 ),
inference(sat_conversion,[],[f6972]) ).
cnf(s615,plain,
( ~ spl0_9
| ~ spl0_83
| ~ spl0_86
| spl0_124 ),
inference(sat_conversion,[],[f6973]) ).
cnf(s648,plain,
( spl0_85
| spl0_111
| ~ spl0_152 ),
inference(sat_conversion,[],[f7253]) ).
cnf(s655,plain,
( ~ spl0_161
| spl0_163
| ~ spl0_182
| spl0_192 ),
inference(sat_conversion,[],[f7305]) ).
cnf(s660,plain,
( ~ spl0_33
| ~ spl0_35
| spl0_193
| spl0_194 ),
inference(sat_conversion,[],[f7372]) ).
cnf(s666,plain,
( spl0_73
| ~ spl0_193 ),
inference(sat_conversion,[],[f7392]) ).
cnf(s667,plain,
( spl0_34
| ~ spl0_73 ),
inference(sat_conversion,[],[f7409]) ).
cnf(s672,plain,
( ~ spl0_84
| ~ spl0_89
| spl0_108
| spl0_124
| ~ spl0_193 ),
inference(sat_conversion,[],[f7483]) ).
cnf(s673,plain,
( ~ spl0_34
| ~ spl0_81
| ~ spl0_142
| spl0_163 ),
inference(sat_conversion,[],[f7537]) ).
cnf(s675,plain,
( ~ spl0_34
| ~ spl0_84
| ~ spl0_143
| spl0_163 ),
inference(sat_conversion,[],[f7540]) ).
cnf(s676,plain,
( ~ spl0_34
| ~ spl0_84
| ~ spl0_89
| spl0_124 ),
inference(sat_conversion,[],[f7541]) ).
cnf(s710,plain,
( ~ spl0_143
| ~ spl0_157
| spl0_163
| spl0_192 ),
inference(sat_conversion,[],[f8142]) ).
cnf(s712,plain,
( ~ spl0_89
| ~ spl0_192 ),
inference(sat_conversion,[],[f8262]) ).
cnf(s717,plain,
( ~ spl0_92
| spl0_111
| ~ spl0_192 ),
inference(sat_conversion,[],[f8274]) ).
cnf(s755,plain,
~ spl0_133,
inference(sat_conversion,[],[f8487]) ).
cnf(s767,plain,
( ~ spl0_48
| ~ spl0_117
| ~ spl0_127
| spl0_152 ),
inference(sat_conversion,[],[f8509]) ).
cnf(s768,plain,
( spl0_27
| spl0_63 ),
inference(sat_conversion,[],[f8513]) ).
cnf(s769,plain,
( spl0_85
| spl0_97
| ~ spl0_99
| ~ spl0_127
| ~ spl0_135 ),
inference(sat_conversion,[],[f8515]) ).
cnf(s770,plain,
( ~ spl0_4
| spl0_27
| spl0_116
| spl0_124
| spl0_128 ),
inference(sat_conversion,[],[f8517]) ).
cnf(s786,plain,
( spl0_27
| spl0_93
| ~ spl0_123
| spl0_133 ),
inference(sat_conversion,[],[f8551]) ).
cnf(s787,plain,
( ~ spl0_4
| spl0_20
| spl0_27
| spl0_85
| spl0_111 ),
inference(sat_conversion,[],[f8552]) ).
cnf(s796,plain,
( spl0_27
| spl0_116
| spl0_127
| ~ spl0_157 ),
inference(sat_conversion,[],[f8569]) ).
cnf(s797,plain,
( ~ spl0_4
| spl0_20
| spl0_27
| spl0_85
| spl0_93 ),
inference(sat_conversion,[],[f8570]) ).
cnf(s798,plain,
( spl0_7
| ~ spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f8571]) ).
cnf(s799,plain,
( ~ spl0_21
| ~ spl0_79
| spl0_127 ),
inference(sat_conversion,[],[f8572]) ).
cnf(s800,plain,
( ~ spl0_6
| spl0_194 ),
inference(sat_conversion,[],[f8581]) ).
cnf(s805,plain,
( spl0_88
| spl0_89
| spl0_133 ),
inference(sat_conversion,[],[f8607]) ).
cnf(s806,plain,
( spl0_133
| spl0_146
| spl0_147 ),
inference(sat_conversion,[],[f8609]) ).
cnf(s807,plain,
( spl0_133
| spl0_148
| spl0_149 ),
inference(sat_conversion,[],[f8610]) ).
cnf(s808,plain,
( ~ spl0_4
| spl0_85
| spl0_89
| spl0_124
| spl0_133 ),
inference(sat_conversion,[],[f8611]) ).
cnf(s809,plain,
( ~ spl0_4
| spl0_85
| spl0_89
| ~ spl0_102
| spl0_133 ),
inference(sat_conversion,[],[f8612]) ).
cnf(s810,plain,
( ~ spl0_83
| ~ spl0_86
| ~ spl0_194 ),
inference(sat_conversion,[],[f8630]) ).
cnf(s812,plain,
( ~ spl0_6
| ~ spl0_80 ),
inference(sat_conversion,[],[f8634]) ).
cnf(s813,plain,
( ~ spl0_4
| spl0_27
| spl0_92
| spl0_116
| spl0_124 ),
inference(sat_conversion,[],[f8635]) ).
cnf(s814,plain,
( ~ spl0_4
| spl0_27
| spl0_92
| ~ spl0_102
| spl0_116 ),
inference(sat_conversion,[],[f8636]) ).
cnf(s817,plain,
( ~ spl0_14
| spl0_92
| ~ spl0_106 ),
inference(sat_conversion,[],[f8639]) ).
cnf(s818,plain,
( ~ spl0_26
| spl0_82
| ~ spl0_119
| spl0_193 ),
inference(sat_conversion,[],[f8641]) ).
cnf(s824,plain,
( ~ spl0_26
| spl0_120
| ~ spl0_121
| spl0_193 ),
inference(sat_conversion,[],[f8648]) ).
cnf(s825,plain,
( ~ spl0_17
| spl0_145 ),
inference(sat_conversion,[],[f8657]) ).
cnf(s828,plain,
( spl0_14
| spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f8672]) ).
cnf(s843,plain,
( ~ spl0_111
| spl0_191 ),
inference(sat_conversion,[],[f8773]) ).
cnf(s847,plain,
( ~ spl0_4
| ~ spl0_63
| spl0_85
| ~ spl0_127 ),
inference(sat_conversion,[],[f8796]) ).
cnf(s848,plain,
( spl0_86
| spl0_87
| spl0_133 ),
inference(sat_conversion,[],[f8797]) ).
cnf(s849,plain,
( ~ spl0_17
| ~ spl0_84
| spl0_127 ),
inference(sat_conversion,[],[f8798]) ).
cnf(s853,plain,
( ~ spl0_4
| spl0_17
| spl0_20
| spl0_27
| spl0_37 ),
inference(sat_conversion,[],[f8813]) ).
cnf(s854,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f8831]) ).
cnf(s861,plain,
( ~ spl0_93
| spl0_150 ),
inference(sat_conversion,[],[f8894]) ).
cnf(s866,plain,
( spl0_159
| spl0_171 ),
inference(sat_conversion,[],[f8948]) ).
cnf(s869,plain,
( ~ spl0_78
| ~ spl0_84
| ~ spl0_111 ),
inference(sat_conversion,[],[f8970]) ).
cnf(s872,plain,
( ~ spl0_88
| ~ spl0_101
| ~ spl0_119
| spl0_205 ),
inference(sat_conversion,[],[f9079]) ).
cnf(s882,plain,
( ~ spl0_119
| ~ spl0_144
| ~ spl0_171
| spl0_175 ),
inference(sat_conversion,[],[f9202]) ).
cnf(s886,plain,
( ~ spl0_87
| ~ spl0_100
| ~ spl0_205 ),
inference(sat_conversion,[],[f9221]) ).
cnf(s896,plain,
( ~ spl0_37
| ~ spl0_158
| ~ spl0_163 ),
inference(sat_conversion,[],[f9315]) ).
cnf(s899,plain,
( ~ spl0_124
| ~ spl0_147
| ~ spl0_163 ),
inference(sat_conversion,[],[f9358]) ).
cnf(s905,plain,
( ~ spl0_121
| ~ spl0_146
| ~ spl0_171
| spl0_175 ),
inference(sat_conversion,[],[f9403]) ).
cnf(s906,plain,
( ~ spl0_146
| ~ spl0_172
| ~ spl0_205 ),
inference(sat_conversion,[],[f9404]) ).
cnf(s908,plain,
( spl0_121
| ~ spl0_146
| spl0_159 ),
inference(sat_conversion,[],[f9406]) ).
cnf(s910,plain,
( ~ spl0_32
| ~ spl0_82
| ~ spl0_83 ),
inference(sat_conversion,[],[f9408]) ).
cnf(s911,plain,
( ~ spl0_27
| ~ spl0_92
| ~ spl0_124 ),
inference(sat_conversion,[],[f9409]) ).
cnf(s918,plain,
( ~ spl0_11
| ~ spl0_27
| spl0_107
| ~ spl0_124 ),
inference(sat_conversion,[],[f9419]) ).
cnf(s922,plain,
( ~ spl0_23
| spl0_111
| ~ spl0_144
| ~ spl0_207 ),
inference(sat_conversion,[],[f9426]) ).
cnf(s924,plain,
( ~ spl0_17
| ~ spl0_84
| ~ spl0_150 ),
inference(sat_conversion,[],[f9428]) ).
cnf(s926,plain,
( ~ spl0_21
| ~ spl0_83
| ~ spl0_191 ),
inference(sat_conversion,[],[f9430]) ).
cnf(s931,plain,
( ~ spl0_27
| ~ spl0_161
| ~ spl0_163 ),
inference(sat_conversion,[],[f9438]) ).
cnf(s940,plain,
( ~ spl0_17
| ~ spl0_32
| ~ spl0_64 ),
inference(sat_conversion,[],[f9472]) ).
cnf(s947,plain,
( ~ spl0_22
| spl0_93 ),
inference(sat_conversion,[],[f9513]) ).
cnf(s954,plain,
( ~ spl0_79
| ~ spl0_89
| ~ spl0_107 ),
inference(sat_conversion,[],[f9653]) ).
cnf(s961,plain,
( spl0_17
| ~ spl0_94
| spl0_105
| spl0_106 ),
inference(sat_conversion,[],[f9687]) ).
cnf(s964,plain,
( ~ spl0_17
| ~ spl0_159
| spl0_210 ),
inference(sat_conversion,[],[f9693]) ).
cnf(s972,plain,
( spl0_161
| spl0_207 ),
inference(sat_conversion,[],[f9800]) ).
cnf(s981,plain,
( ~ spl0_88
| ~ spl0_97
| ~ spl0_112 ),
inference(sat_conversion,[],[f9856]) ).
cnf(s986,plain,
( ~ spl0_124
| ~ spl0_149
| ~ spl0_163 ),
inference(sat_conversion,[],[f9969]) ).
cnf(s990,plain,
( ~ spl0_105
| ~ spl0_146
| ~ spl0_207 ),
inference(sat_conversion,[],[f10005]) ).
cnf(s992,plain,
( spl0_163
| spl0_177 ),
inference(sat_conversion,[],[f10011]) ).
cnf(s998,plain,
( spl0_84
| ~ spl0_87
| spl0_121 ),
inference(sat_conversion,[],[f10028]) ).
cnf(s1003,plain,
( ~ spl0_64
| ~ spl0_82
| ~ spl0_111 ),
inference(sat_conversion,[],[f10034]) ).
cnf(s1011,plain,
( ~ spl0_35
| spl0_64
| ~ spl0_95 ),
inference(sat_conversion,[],[f10041]) ).
cnf(s1015,plain,
( ~ spl0_4
| spl0_85
| ~ spl0_144
| ~ spl0_177 ),
inference(sat_conversion,[],[f10045]) ).
cnf(s1021,plain,
( ~ spl0_4
| ~ spl0_26
| ~ spl0_80
| spl0_85 ),
inference(sat_conversion,[],[f10089]) ).
cnf(s1034,plain,
( ~ spl0_86
| ~ spl0_92
| ~ spl0_191 ),
inference(sat_conversion,[],[f10216]) ).
cnf(s1035,plain,
( ~ spl0_35
| spl0_109
| ~ spl0_122 ),
inference(sat_conversion,[],[f10273]) ).
cnf(s1036,plain,
( ~ spl0_48
| spl0_92
| ~ spl0_122 ),
inference(sat_conversion,[],[f10275]) ).
cnf(s1037,plain,
( ~ spl0_142
| ~ spl0_161
| ~ spl0_191 ),
inference(sat_conversion,[],[f10294]) ).
cnf(s1038,plain,
( ~ spl0_93
| ~ spl0_142
| spl0_210 ),
inference(sat_conversion,[],[f10295]) ).
cnf(s1045,plain,
( spl0_127
| ~ spl0_143
| ~ spl0_178 ),
inference(sat_conversion,[],[f10374]) ).
cnf(s1046,plain,
( ~ spl0_143
| ~ spl0_150
| ~ spl0_178 ),
inference(sat_conversion,[],[f10375]) ).
cnf(s1048,plain,
( ~ spl0_89
| ~ spl0_92
| ~ spl0_111 ),
inference(sat_conversion,[],[f10436]) ).
cnf(s1059,plain,
( spl0_27
| ~ spl0_83
| ~ spl0_123
| spl0_133
| ~ spl0_145 ),
inference(sat_conversion,[],[f10462]) ).
cnf(s1065,plain,
( ~ spl0_4
| ~ spl0_64
| ~ spl0_78
| spl0_83
| spl0_85 ),
inference(sat_conversion,[],[f10508]) ).
cnf(s1069,plain,
( ~ spl0_3
| spl0_82 ),
inference(sat_conversion,[],[f10526]) ).
cnf(s1071,plain,
( ~ spl0_3
| spl0_64 ),
inference(sat_conversion,[],[f10533]) ).
cnf(s1073,plain,
( ~ spl0_3
| spl0_168 ),
inference(sat_conversion,[],[f10536]) ).
cnf(s1074,plain,
( spl0_178
| spl0_210 ),
inference(sat_conversion,[],[f10537]) ).
cnf(s1091,plain,
( ~ spl0_78
| ~ spl0_92
| ~ spl0_107 ),
inference(sat_conversion,[],[f10703]) ).
cnf(s1096,plain,
( ~ spl0_48
| spl0_111
| ~ spl0_114 ),
inference(sat_conversion,[],[f10740]) ).
cnf(s1100,plain,
( ~ spl0_78
| ~ spl0_88
| ~ spl0_92
| spl0_119 ),
inference(sat_conversion,[],[f10781]) ).
cnf(s1106,plain,
( ~ spl0_4
| ~ spl0_63
| ~ spl0_94
| spl0_124 ),
inference(sat_conversion,[],[f10879]) ).
cnf(s1110,plain,
( ~ spl0_85
| ~ spl0_89
| ~ spl0_124 ),
inference(sat_conversion,[],[f10926]) ).
cnf(s1111,plain,
( ~ spl0_85
| ~ spl0_86
| ~ spl0_124 ),
inference(sat_conversion,[],[f10940]) ).
cnf(s1119,plain,
( ~ spl0_85
| ~ spl0_142
| ~ spl0_163 ),
inference(sat_conversion,[],[f10991]) ).
cnf(s1127,plain,
( ~ spl0_88
| ~ spl0_103
| ~ spl0_216 ),
inference(sat_conversion,[],[f11051]) ).
cnf(s1128,plain,
( ~ spl0_109
| ~ spl0_128
| ~ spl0_145 ),
inference(sat_conversion,[],[f11053]) ).
cnf(s1134,plain,
( ~ spl0_144
| ~ spl0_172
| ~ spl0_216 ),
inference(sat_conversion,[],[f11122]) ).
cnf(s1135,plain,
( ~ spl0_78
| spl0_119
| ~ spl0_144
| ~ spl0_161 ),
inference(sat_conversion,[],[f11124]) ).
cnf(s1137,plain,
( ~ spl0_35
| ~ spl0_64
| ~ spl0_92
| ~ spl0_205 ),
inference(sat_conversion,[],[f11144]) ).
cnf(s1138,plain,
( ~ spl0_85
| ~ spl0_143
| ~ spl0_163 ),
inference(sat_conversion,[],[f11152]) ).
cnf(s1141,plain,
( ~ spl0_92
| ~ spl0_149
| ~ spl0_161 ),
inference(sat_conversion,[],[f11210]) ).
cnf(s1146,plain,
( ~ spl0_103
| ~ spl0_148
| ~ spl0_175 ),
inference(sat_conversion,[],[f11250]) ).
cnf(s1147,plain,
( ~ spl0_35
| spl0_168
| ~ spl0_175 ),
inference(sat_conversion,[],[f11251]) ).
cnf(s1148,plain,
( ~ spl0_78
| ~ spl0_159
| ~ spl0_161 ),
inference(sat_conversion,[],[f11253]) ).
cnf(s1150,plain,
( ~ spl0_4
| ~ spl0_63
| spl0_163
| ~ spl0_210 ),
inference(sat_conversion,[],[f11255]) ).
cnf(s1154,plain,
( spl0_119
| ~ spl0_144
| spl0_159 ),
inference(sat_conversion,[],[f11259]) ).
cnf(s1157,plain,
( spl0_94
| ~ spl0_147
| ~ spl0_178 ),
inference(sat_conversion,[],[f11262]) ).
cnf(s1159,plain,
( ~ spl0_22
| ~ spl0_127 ),
inference(sat_conversion,[],[f11272]) ).
cnf(s1166,plain,
( ~ spl0_27
| ~ spl0_32
| ~ spl0_145 ),
inference(sat_conversion,[],[f11296]) ).
cnf(s1174,plain,
( ~ spl0_21
| ~ spl0_92
| ~ spl0_109 ),
inference(sat_conversion,[],[f11340]) ).
cnf(s1175,plain,
( ~ spl0_13
| ~ spl0_127
| ~ spl0_216 ),
inference(sat_conversion,[],[f11341]) ).
cnf(s1184,plain,
( spl0_101
| spl0_107
| spl0_108 ),
inference(sat_conversion,[],[f11401]) ).
cnf(s1187,plain,
( ~ spl0_27
| ~ spl0_85
| ~ spl0_93 ),
inference(sat_conversion,[],[f11419]) ).
cnf(s1189,plain,
( ~ spl0_17
| spl0_94
| ~ spl0_107 ),
inference(sat_conversion,[],[f11421]) ).
cnf(s1198,plain,
( spl0_84
| ~ spl0_87
| spl0_121 ),
inference(sat_conversion,[],[f11556]) ).
cnf(s1200,plain,
( ~ spl0_64
| ~ spl0_161
| ~ spl0_168 ),
inference(sat_conversion,[],[f11572]) ).
cnf(s1206,plain,
( spl0_6
| ~ spl0_13
| spl0_17
| spl0_95 ),
inference(sat_conversion,[],[f11617]) ).
cnf(s1209,plain,
( ~ spl0_3
| ~ spl0_82
| ~ spl0_84 ),
inference(sat_conversion,[],[f11625]) ).
cnf(s1210,plain,
( spl0_27
| spl0_97
| spl0_114
| ~ spl0_127 ),
inference(sat_conversion,[],[f11626]) ).
cnf(s1211,plain,
( spl0_64
| spl0_117
| ~ spl0_127 ),
inference(sat_conversion,[],[f11627]) ).
cnf(s1218,plain,
( spl0_37
| ~ spl0_80
| spl0_114
| spl0_216 ),
inference(sat_conversion,[],[f11667]) ).
cnf(s1225,plain,
( ~ spl0_32
| ~ spl0_107
| ~ spl0_120 ),
inference(sat_conversion,[],[f11803]) ).
cnf(s1227,plain,
( ~ spl0_78
| ~ spl0_111
| ~ spl0_194 ),
inference(sat_conversion,[],[f11815]) ).
cnf(s1228,plain,
( ~ spl0_78
| ~ spl0_161
| ~ spl0_194 ),
inference(sat_conversion,[],[f11818]) ).
cnf(s1231,plain,
( spl0_103
| spl0_108
| spl0_109 ),
inference(sat_conversion,[],[f11842]) ).
cnf(s1250,plain,
( spl0_27
| ~ spl0_94
| spl0_105
| spl0_122 ),
inference(sat_conversion,[],[f12078]) ).
cnf(s1254,plain,
( ~ spl0_145
| ~ spl0_158
| ~ spl0_178 ),
inference(sat_conversion,[],[f12099]) ).
cnf(s1258,plain,
( ~ spl0_87
| ~ spl0_105
| ~ spl0_162 ),
inference(sat_conversion,[],[f12133]) ).
cnf(s1259,plain,
( ~ spl0_100
| ~ spl0_141
| ~ spl0_175 ),
inference(sat_conversion,[],[f12158]) ).
cnf(s1263,plain,
( ~ spl0_64
| ~ spl0_85
| ~ spl0_191 ),
inference(sat_conversion,[],[f12162]) ).
cnf(s1268,plain,
( ~ spl0_64
| ~ spl0_82
| ~ spl0_93 ),
inference(sat_conversion,[],[f12167]) ).
cnf(s1300,plain,
( spl0_92
| spl0_112 ),
inference(rat,[],[s168,s313]) ).
cnf(s1301,plain,
( spl0_80
| spl0_84 ),
inference(rat,[],[s161,s313]) ).
cnf(s1306,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s787,s1227,s144,s119,s120,s162,s90,s96,s800,s812,s113]) ).
cnf(s1312,plain,
( ~ spl0_142
| ~ spl0_83
| ~ spl0_85
| ~ spl0_9 ),
inference(rat,[],[s614,s1119]) ).
cnf(s1313,plain,
( ~ spl0_89
| ~ spl0_193
| ~ spl0_84
| ~ spl0_85 ),
inference(rat,[],[s672,s1110,s349]) ).
cnf(s1314,plain,
( ~ spl0_161
| ~ spl0_84
| ~ spl0_85
| ~ spl0_33
| ~ spl0_35
| ~ spl0_27
| ~ spl0_78
| ~ spl0_4 ),
inference(rat,[],[s655,s531,s717,s911,s1300,s152,s805,s1313,s660,s931,s1228,s169,s21,s947,s1187,s755]) ).
cnf(s1315,plain,
( ~ spl0_84
| ~ spl0_85
| ~ spl0_33
| ~ spl0_35
| ~ spl0_34
| ~ spl0_27
| ~ spl0_78
| ~ spl0_4 ),
inference(rat,[],[s675,s1119,s320,s319,s922,s471,s972,s1314,s481,s169,s21,s947,s1187,s313]) ).
cnf(s1316,plain,
( ~ spl0_89
| spl0_163
| ~ spl0_161
| ~ spl0_82
| ~ spl0_24
| ~ spl0_85
| ~ spl0_4 ),
inference(rat,[],[s531,s226,s655,s202,s712,s1110]) ).
cnf(s1317,plain,
( ~ spl0_88
| ~ spl0_216
| ~ spl0_23
| spl0_111
| ~ spl0_21 ),
inference(rat,[],[s1174,s1300,s1231,s152,s1127,s349]) ).
cnf(s1318,plain,
( ~ spl0_161
| ~ spl0_89
| ~ spl0_24
| ~ spl0_85
| ~ spl0_27
| ~ spl0_4 ),
inference(rat,[],[s1316,s931,s172]) ).
cnf(s1320,plain,
( spl0_32
| ~ spl0_78
| ~ spl0_84
| ~ spl0_27
| ~ spl0_85
| ~ spl0_4 ),
inference(rat,[],[s1315,s30,s146,s87,s144]) ).
cnf(s1322,plain,
( ~ spl0_161
| ~ spl0_182
| spl0_192
| ~ spl0_27 ),
inference(rat,[],[s655,s931]) ).
cnf(s1332,plain,
( ~ spl0_84
| ~ spl0_21
| ~ spl0_27
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s1322,s531,s717,s911,s1300,s152,s805,s1313,s818,s1135,s320,s675,s931,s471,s319,s1312,s910,s127,s17,s825,s1166,s1320,s3,s1306,s481,s169,s21,s947,s1187,s120,s84,s87,s85,s119,s755,s313]) ).
cnf(s1334,plain,
( ~ spl0_92
| ~ spl0_161
| spl0_111
| ~ spl0_27
| ~ spl0_4 ),
inference(rat,[],[s1322,s531,s717,s911]) ).
cnf(s1335,plain,
( ~ spl0_161
| ~ spl0_21
| ~ spl0_27
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s189,s848,s137,s615,s1218,s19,s127,s1175,s8,s17,s940,s146,s1147,s1200,s882,s1135,s237,s320,s46,s710,s1318,s429,s712,s1110,s805,s152,s1300,s1334,s866,s931,s1148,s3,s1306,s169,s456,s21,s947,s1187,s120,s85,s119,s162,s1332,s755,s313]) ).
cnf(s1336,plain,
( ~ spl0_21
| ~ spl0_27
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s710,s429,s712,s1110,s805,s1317,s1218,s212,s146,s1166,s825,s17,s127,s1119,s1312,s320,s319,s922,s471,s972,s1335,s162,s1332,s85,s119,s3,s1306,s481,s169,s21,s947,s1187,s755,s313]) ).
cnf(s1337,plain,
( spl0_92
| ~ spl0_79
| ~ spl0_11
| ~ spl0_23
| spl0_111 ),
inference(rat,[],[s805,s152,s954,s1300,s180,s755]) ).
cnf(s1338,plain,
( ~ spl0_27
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s675,s1119,s320,s319,s922,s471,s972,s1334,s1337,s87,s144,s145,s162,s39,s165,s828,s1336,s21,s481,s947,s169,s1187,s313,s113]) ).
cnf(s1339,plain,
( ~ spl0_89
| ~ spl0_34
| ~ spl0_84
| ~ spl0_85 ),
inference(rat,[],[s676,s1110]) ).
cnf(s1340,plain,
( ~ spl0_84
| spl0_111
| ~ spl0_161
| ~ spl0_21
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s1138,s675,s320,s882,s1100,s1146,s807,s1231,s1141,s1174,s1300,s152,s805,s1339,s87,s144,s21,s33,s1338,s866,s1148,s120,s313,s755,s349]) ).
cnf(s1341,plain,
( ~ spl0_89
| spl0_163
| ~ spl0_161
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s655,s531,s813,s712,s1110,s1338,s313]) ).
cnf(s1342,plain,
( spl0_163
| spl0_111
| ~ spl0_161
| ~ spl0_21
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s1035,s146,s1250,s195,s1157,s143,s806,s786,s211,s905,s861,s886,s1198,s1258,s1046,s848,s320,s1111,s882,s872,s531,s1146,s807,s1184,s655,s1231,s1141,s1091,s1100,s717,s1174,s1300,s152,s805,s1341,s1074,s1150,s768,s21,s33,s1338,s866,s1148,s120,s481,s1340,s755,s313,s349]) ).
cnf(s1343,plain,
( spl0_111
| ~ spl0_161
| ~ spl0_21
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s1146,s807,s1231,s1141,s1128,s813,s770,s1110,s805,s1317,s1218,s1096,s237,s1200,s1147,s146,s195,s1059,s825,s853,s170,s143,s211,s1259,s882,s1135,s319,s320,s1119,s1138,s1342,s162,s1340,s21,s33,s1338,s866,s1148,s120,s755,s349,s313,s113]) ).
cnf(s1344,plain,
( spl0_163
| ~ spl0_158
| spl0_175
| spl0_83
| spl0_64
| ~ spl0_161
| ~ spl0_78
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s882,s1100,s320,s138,s1046,s146,s861,s1011,s19,s127,s1206,s8,s17,s825,s1254,s805,s1074,s1341,s1150,s3,s1306,s768,s866,s1148,s46,s237,s21,s33,s1338,s313,s755]) ).
cnf(s1345,plain,
( ~ spl0_161
| ~ spl0_21
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s882,s1135,s320,s1138,s1344,s469,s1259,s319,s211,s1037,s926,s1263,s843,s1343,s866,s1148,s3,s1306,s120,s313]) ).
cnf(s1346,plain,
( ~ spl0_89
| ~ spl0_143
| spl0_163
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s710,s429,s712,s1110]) ).
cnf(s1348,plain,
( spl0_124
| spl0_163
| ~ spl0_63
| ~ spl0_4 ),
inference(rat,[],[s806,s1157,s508,s1106,s992,s1074,s1150,s755]) ).
cnf(s1349,plain,
( spl0_111
| spl0_163
| ~ spl0_21
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s87,s673,s170,s143,s211,s886,s872,s1184,s1091,s1100,s1300,s152,s805,s1346,s319,s320,s471,s922,s481,s21,s33,s120,s972,s1345,s848,s1111,s1348,s768,s1338,s349,s755,s313]) ).
cnf(s1350,plain,
( spl0_37
| ~ spl0_120
| ~ spl0_144
| spl0_205
| ~ spl0_80
| spl0_83
| ~ spl0_88
| spl0_210
| spl0_27
| ~ spl0_4 ),
inference(rat,[],[s146,s212,s1225,s1218,s1184,s1134,s872,s492,s1154,s1254,s964,s825,s853,s1074,s349,s113]) ).
cnf(s1351,plain,
( spl0_107
| spl0_205
| ~ spl0_88 ),
inference(rat,[],[s872,s179,s1184,s349]) ).
cnf(s1352,plain,
( spl0_163
| ~ spl0_21
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s1210,s212,s1045,s146,s320,s1225,s1350,s981,s226,s1300,s1091,s208,s1351,s886,s46,s211,s237,s162,s926,s1263,s805,s869,s843,s1110,s1349,s848,s1111,s1348,s1074,s1150,s768,s21,s33,s1338,s120,s313,s755]) ).
cnf(s1353,plain,
( ~ spl0_89
| ~ spl0_111
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s813,s1048,s1110,s1338,s313]) ).
cnf(s1354,plain,
( ~ spl0_92
| ~ spl0_88
| ~ spl0_100
| ~ spl0_191
| ~ spl0_78 ),
inference(rat,[],[s886,s848,s1351,s1034,s1091,s755]) ).
cnf(s1355,plain,
( ~ spl0_21
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s1189,s1351,s1250,s886,s990,s848,s806,s1111,s899,s1036,s813,s1354,s805,s1353,s853,s896,s469,s211,s237,s926,s1263,s843,s922,s319,s320,s1119,s1138,s1352,s972,s1345,s120,s3,s1306,s21,s33,s1338,s755,s313,s113]) ).
cnf(s1356,plain,
( ~ spl0_124
| ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s886,s1351,s848,s208,s1111,s211,s170,s805,s1353,s165,s162,s144,s84,s854,s21,s33,s1338,s828,s1355,s755,s113]) ).
cnf(s1357,plain,
( ~ spl0_4
| ~ spl0_85 ),
inference(rat,[],[s469,s319,s896,s1119,s1348,s1356,s211,s170,s84,s854,s828,s1355,s768,s1338,s3,s1306,s313,s113]) ).
cnf(s1358,plain,
~ spl0_85,
inference(rat,[],[s1351,s1091,s1137,s1300,s152,s805,s202,s824,s998,s848,s810,s660,s666,s667,s673,s1119,s120,s30,s146,s84,s319,s828,s910,s170,s143,s471,s165,s127,s21,s481,s162,s3,s17,s22,s1003,s1209,s1200,s1268,s12,s25,s1069,s1071,s1073,s2,s1357,s755,s313,s113]) ).
cnf(s1360,plain,
spl0_99,
inference(rat,[],[s173,s1358]) ).
cnf(s1361,plain,
( spl0_37
| spl0_163
| ~ spl0_4 ),
inference(rat,[],[s1301,s675,s1021,s87,s84,s320,s1015,s992,s1358,s313]) ).
cnf(s1362,plain,
( ~ spl0_124
| ~ spl0_37
| ~ spl0_27 ),
inference(rat,[],[s918,s208,s39,s21,s22,s83,s828,s119,s113]) ).
cnf(s1363,plain,
( spl0_163
| ~ spl0_27
| ~ spl0_4 ),
inference(rat,[],[s710,s712,s429,s808,s1362,s1361,s320,s1015,s992,s1358,s755,s313]) ).
cnf(s1364,plain,
( spl0_37
| spl0_124
| ~ spl0_4 ),
inference(rat,[],[s1301,s676,s1021,s87,s84,s808,s1358,s755]) ).
cnf(s1365,plain,
( ~ spl0_37
| ~ spl0_163
| ~ spl0_27 ),
inference(rat,[],[s483,s798,s866,s492,s828,s498,s896,s83,s119,s113]) ).
cnf(s1366,plain,
( ~ spl0_89
| ~ spl0_27
| ~ spl0_4 ),
inference(rat,[],[s767,s1211,s237,s1065,s143,s526,s319,s471,s648,s481,s869,s120,s828,s39,s21,s1159,s849,s17,s180,s140,s1231,s954,s464,s3,s1306,s931,s455,s911,s807,s986,s1364,s145,s162,s1021,s84,s1365,s1363,s1358,s313,s113,s349,s755]) ).
cnf(s1367,plain,
( ~ spl0_127
| spl0_97 ),
inference(rat,[],[s769,s457,s1358,s1360]) ).
cnf(s1368,plain,
( ~ spl0_27
| ~ spl0_4 ),
inference(rat,[],[s817,s961,s828,s849,s799,s1367,s981,s805,s1366,s990,s145,s1300,s806,s162,s911,s455,s899,s1021,s1364,s84,s1365,s972,s931,s1363,s1358,s755,s113]) ).
cnf(s1369,plain,
( spl0_163
| ~ spl0_4 ),
inference(rat,[],[s1038,s319,s1150,s472,s768,s797,s1368,s313,s1360,s1358,s113]) ).
cnf(s1370,plain,
( ~ spl0_37
| ~ spl0_146
| ~ spl0_148
| spl0_102
| ~ spl0_163 ),
inference(rat,[],[s1146,s905,s1231,s908,s866,s196,s498,s349]) ).
cnf(s1371,plain,
( spl0_37
| ~ spl0_4 ),
inference(rat,[],[s1301,s924,s1021,s853,s84,s861,s797,s1368,s1358,s113]) ).
cnf(s1372,plain,
( ~ spl0_89
| ~ spl0_4 ),
inference(rat,[],[s1370,s806,s807,s899,s986,s814,s429,s1048,s787,s796,s847,s768,s1368,s1369,s1371,s755,s313,s1358,s113]) ).
cnf(s1373,plain,
~ spl0_4,
inference(rat,[],[s906,s806,s1351,s899,s178,s808,s809,s805,s1372,s492,s896,s1371,s1369,s755,s1358]) ).
cnf(s1374,plain,
spl0_3,
inference(rat,[],[s2,s1373]) ).
cnf(s1376,plain,
spl0_64,
inference(rat,[],[s1071,s1374]) ).
cnf(s1377,plain,
spl0_82,
inference(rat,[],[s1069,s1374]) ).
cnf(s1378,plain,
~ spl0_17,
inference(rat,[],[s25,s1374]) ).
cnf(s1381,plain,
~ spl0_84,
inference(rat,[],[s1209,s1374,s1377]) ).
cnf(s1384,plain,
~ spl0_93,
inference(rat,[],[s1268,s1376,s1377]) ).
cnf(s1389,plain,
spl0_80,
inference(rat,[],[s162,s1381]) ).
cnf(s1403,plain,
spl0_10,
inference(rat,[],[s245,s1358,s1389]) ).
cnf(s1404,plain,
$false,
inference(rat,[],[s130,s1360,s1384,s1378,s1389,s1403]) ).
thf(f12168,plain,
$false,
inference(avatar_sat_refutation,[],[s1404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA166^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n004.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Tue Sep 29 19:06:37 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.28 Running higher-order theorem proving
% 0.09/0.31 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.02/0.57 % (1703206)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.02/0.57 % (1703212)lrs+10_16_si=on:nwc=1.5:random_seed=2018486785:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.02/0.57 % (1703217)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.02/0.57 % (1703217)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
% 1.02/0.57 % (1703212)Instruction limit reached!
% 1.02/0.57 % (1703212)------------------------------
% 1.02/0.57 % (1703212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.57 % (1703212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.57 % (1703212)CaDiCaL version: 2.1.3
% 1.02/0.57 % (1703212)Termination reason: Instruction limit
% 1.02/0.57 % (1703212)Termination phase: Saturation
% 1.02/0.57 % (1703212)Time elapsed: 0.015 s
% 1.02/0.57 % (1703212)Peak memory usage: 12 MB
% 1.02/0.57 % (1703212)Instructions burned: 18 (million)
% 1.02/0.57 % (1703217)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=1785447082:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.02/0.57 % (1703213)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3786343957:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.02/0.57 % (1703214)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=115358693: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)
% 1.02/0.57 % (1703215)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3829545383:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.02/0.57 % (1703211)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1845133599:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.02/0.57 % (1703216)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1100717855:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.02/0.57 % (1703213)Instruction limit reached!
% 1.02/0.57 % (1703213)------------------------------
% 1.02/0.57 % (1703213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.57 % (1703213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.57 % (1703213)CaDiCaL version: 2.1.3
% 1.02/0.57 % (1703213)Termination reason: Instruction limit
% 1.02/0.57 % (1703213)Termination phase: Saturation
% 1.02/0.57 % (1703213)Time elapsed: 0.004 s
% 1.02/0.57 % (1703213)Peak memory usage: 11 MB
% 1.02/0.57 % (1703213)Instructions burned: 3 (million)
% 1.02/0.57 % (1703217)Instruction limit reached!
% 1.02/0.57 % (1703217)------------------------------
% 1.02/0.57 % (1703217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.57 % (1703217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.57 % (1703217)CaDiCaL version: 2.1.3
% 1.02/0.57 % (1703217)Termination reason: Instruction limit
% 1.02/0.57 % (1703217)Termination phase: Saturation
% 1.02/0.57 % (1703217)Time elapsed: 0.058 s
% 1.02/0.57 % (1703217)Peak memory usage: 12 MB
% 1.02/0.57 % (1703217)Instructions burned: 160 (million)
% 1.02/0.57 % (1703215)Instruction limit reached!
% 1.02/0.57 % (1703215)------------------------------
% 1.02/0.57 % (1703215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.57 % (1703215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.57 % (1703215)CaDiCaL version: 2.1.3
% 1.02/0.57 % (1703215)Termination reason: Instruction limit
% 1.02/0.57 % (1703215)Termination phase: Saturation
% 1.02/0.57 % (1703215)Time elapsed: 0.025 s
% 1.02/0.57 % (1703215)Peak memory usage: 11 MB
% 1.02/0.57 % (1703215)Instructions burned: 25 (million)
% 1.02/0.57 % (1703220)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1601118052:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.02/0.57 % (1703220)Instruction limit reached!
% 1.02/0.57 % (1703220)------------------------------
% 1.02/0.57 % (1703220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.61 % (1703220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.61 % (1703220)CaDiCaL version: 2.1.3
% 1.02/0.61 % (1703220)Termination reason: Instruction limit
% 1.02/0.61 % (1703220)Termination phase: Saturation
% 1.02/0.61 % (1703220)Time elapsed: 0.009 s
% 1.02/0.61 % (1703220)Peak memory usage: 11 MB
% 1.02/0.61 % (1703220)Instructions burned: 9 (million)
% 1.02/0.61 % (1703227)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.02/0.61 % (1703211)Instruction limit reached!
% 1.02/0.61 % (1703211)------------------------------
% 1.02/0.61 % (1703211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.61 % (1703211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.61 % (1703211)CaDiCaL version: 2.1.3
% 1.02/0.61 % (1703211)Termination reason: Instruction limit
% 1.02/0.61 % (1703211)Termination phase: Saturation
% 1.02/0.61 % (1703211)Time elapsed: 0.061 s
% 1.02/0.61 % (1703211)Peak memory usage: 12 MB
% 1.02/0.61 % (1703211)Instructions burned: 87 (million)
% 1.02/0.61 % (1703225)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=830430022:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2998 on theBenchmark for (2998ds/5Mi)
% 1.02/0.61 % (1703227)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3639317260:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.02/0.61 % (1703216)Instruction limit reached!
% 1.02/0.61 % (1703216)------------------------------
% 1.02/0.61 % (1703216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.61 % (1703216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.61 % (1703216)CaDiCaL version: 2.1.3
% 1.02/0.61 % (1703216)Termination reason: Instruction limit
% 1.02/0.61 % (1703216)Termination phase: Saturation
% 1.02/0.61 % (1703216)Time elapsed: 0.066 s
% 1.02/0.61 % (1703216)Peak memory usage: 12 MB
% 1.02/0.61 % (1703216)Instructions burned: 75 (million)
% 1.02/0.61 % (1703225)Instruction limit reached!
% 1.02/0.61 % (1703225)------------------------------
% 1.02/0.61 % (1703225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.61 % (1703225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.61 % (1703225)CaDiCaL version: 2.1.3
% 1.02/0.61 % (1703225)Termination reason: Instruction limit
% 1.02/0.61 % (1703225)Termination phase: Saturation
% 1.02/0.61 % (1703225)Time elapsed: 0.006 s
% 1.02/0.61 % (1703225)Peak memory usage: 11 MB
% 1.02/0.61 % (1703225)Instructions burned: 5 (million)
% 1.02/0.61 % (1703227)Instruction limit reached!
% 1.02/0.61 % (1703227)------------------------------
% 1.02/0.61 % (1703227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.61 % (1703227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.61 % (1703227)CaDiCaL version: 2.1.3
% 1.02/0.61 % (1703227)Termination reason: Instruction limit
% 1.02/0.61 % (1703227)Termination phase: Saturation
% 1.02/0.61 % (1703227)Time elapsed: 0.007 s
% 1.02/0.61 % (1703227)Peak memory usage: 12 MB
% 1.02/0.61 % (1703227)Instructions burned: 7 (million)
% 1.02/0.61 % (1703230)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
% 1.02/0.61 % (1703230)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.02/0.61 % (1703228)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3875819482:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.02/0.61 % (1703230)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=703341982:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.02/0.61 % (1703236)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1430016643:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.02/0.61 % (1703236)Refutation not found, incomplete strategy
% 1.02/0.61 % (1703236)------------------------------
% 1.02/0.61 % (1703236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.65 % (1703236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.65 % (1703236)CaDiCaL version: 2.1.3
% 1.02/0.65 % (1703236)Termination reason: Refutation not found, incomplete strategy
% 1.02/0.65 % (1703236)Time elapsed: 0.0000 s
% 1.02/0.65 % (1703236)Peak memory usage: 11 MB
% 1.02/0.65 % (1703228)Instruction limit reached!
% 1.02/0.65 % (1703228)------------------------------
% 1.02/0.65 % (1703228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.65 % (1703228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.65 % (1703228)CaDiCaL version: 2.1.3
% 1.02/0.65 % (1703228)Termination reason: Instruction limit
% 1.02/0.65 % (1703228)Termination phase: Saturation
% 1.02/0.65 % (1703228)Time elapsed: 0.012 s
% 1.02/0.65 % (1703228)Peak memory usage: 12 MB
% 1.02/0.65 % (1703228)Instructions burned: 12 (million)
% 1.02/0.65 % (1703236)------------------------------
% 1.02/0.65 % (1703236)------------------------------
% 1.02/0.65 % (1703235)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.02/0.65 % (1703232)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=3784897455:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.02/0.65 % (1703234)lrs+10_1_si=on:cs=on:random_seed=4013268498:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.02/0.65 % (1703235)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=421921264:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.02/0.65 % (1703235)Instruction limit reached!
% 1.02/0.65 % (1703235)------------------------------
% 1.02/0.65 % (1703235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.65 % (1703235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.65 % (1703235)CaDiCaL version: 2.1.3
% 1.02/0.65 % (1703235)Termination reason: Instruction limit
% 1.02/0.65 % (1703235)Termination phase: Saturation
% 1.02/0.65 % (1703235)Time elapsed: 0.004 s
% 1.02/0.65 % (1703235)Peak memory usage: 11 MB
% 1.02/0.65 % (1703235)Instructions burned: 3 (million)
% 1.02/0.65 % (1703230)Instruction limit reached!
% 1.02/0.65 % (1703230)------------------------------
% 1.02/0.65 % (1703230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.65 % (1703230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.65 % (1703230)CaDiCaL version: 2.1.3
% 1.02/0.65 % (1703230)Termination reason: Instruction limit
% 1.02/0.65 % (1703230)Termination phase: Saturation
% 1.02/0.65 % (1703230)Time elapsed: 0.024 s
% 1.02/0.65 % (1703230)Peak memory usage: 11 MB
% 1.02/0.65 % (1703230)Instructions burned: 28 (million)
% 1.02/0.65 % (1703234)Instruction limit reached!
% 1.02/0.65 % (1703234)------------------------------
% 1.02/0.65 % (1703234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.65 % (1703234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.65 % (1703234)CaDiCaL version: 2.1.3
% 1.02/0.65 % (1703234)Termination reason: Instruction limit
% 1.02/0.65 % (1703234)Termination phase: Saturation
% 1.02/0.65 % (1703234)Time elapsed: 0.008 s
% 1.02/0.65 % (1703234)Peak memory usage: 12 MB
% 1.02/0.65 % (1703234)Instructions burned: 8 (million)
% 1.02/0.65 % (1703240)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2502998407:st=2:i=249:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/249Mi)
% 1.02/0.65 % (1703240)Refutation not found, incomplete strategy
% 1.02/0.65 % (1703240)------------------------------
% 1.02/0.65 % (1703240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.02/0.65 % (1703240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/0.65 % (1703240)CaDiCaL version: 2.1.3
% 1.02/0.65 % (1703240)Termination reason: Refutation not found, incomplete strategy
% 1.02/0.65 % (1703240)Time elapsed: 0.001 s
% 1.02/0.65 % (1703240)Peak memory usage: 11 MB
% 1.02/0.65 % (1703240)------------------------------
% 1.02/0.65 % (1703240)------------------------------
% 1.02/0.65 % (1703241)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2930959785:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/25Mi)
% 1.02/0.65 % (1703245)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1429839479:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.72/0.70 % (1703241)Refutation not found, incomplete strategy
% 1.72/0.70 % (1703241)------------------------------
% 1.72/0.70 % (1703241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.70 % (1703241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.70 % (1703241)CaDiCaL version: 2.1.3
% 1.72/0.70 % (1703241)Termination reason: Refutation not found, incomplete strategy
% 1.72/0.70 % (1703241)Time elapsed: 0.001 s
% 1.72/0.70 % (1703241)Peak memory usage: 11 MB
% 1.72/0.70 % (1703241)------------------------------
% 1.72/0.70 % (1703241)------------------------------
% 1.72/0.70 % (1703245)Instruction limit reached!
% 1.72/0.70 % (1703245)------------------------------
% 1.72/0.70 % (1703245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.70 % (1703245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.70 % (1703245)CaDiCaL version: 2.1.3
% 1.72/0.70 % (1703245)Termination reason: Instruction limit
% 1.72/0.70 % (1703245)Termination phase: Saturation
% 1.72/0.70 % (1703245)Time elapsed: 0.008 s
% 1.72/0.70 % (1703245)Peak memory usage: 12 MB
% 1.72/0.70 % (1703245)Instructions burned: 15 (million)
% 1.72/0.70 % (1703246)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=933162179:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/327Mi)
% 1.72/0.70 % (1703247)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=625999339:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 1.72/0.70 % (1703246)Refutation not found, incomplete strategy
% 1.72/0.70 % (1703246)------------------------------
% 1.72/0.70 % (1703246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.70 % (1703246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.70 % (1703246)CaDiCaL version: 2.1.3
% 1.72/0.70 % (1703246)Termination reason: Refutation not found, incomplete strategy
% 1.72/0.70 % (1703246)Time elapsed: 0.001 s
% 1.72/0.70 % (1703246)Peak memory usage: 11 MB
% 1.72/0.70 % (1703246)------------------------------
% 1.72/0.70 % (1703246)------------------------------
% 1.72/0.70 % (1703249)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=325873121:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 1.72/0.70 % (1703249)Refutation not found, incomplete strategy
% 1.72/0.70 % (1703249)------------------------------
% 1.72/0.70 % (1703249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.70 % (1703249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.70 % (1703249)CaDiCaL version: 2.1.3
% 1.72/0.70 % (1703249)Termination reason: Refutation not found, incomplete strategy
% 1.72/0.70 % (1703249)Time elapsed: 0.0000 s
% 1.72/0.70 % (1703249)Peak memory usage: 11 MB
% 1.72/0.70 % (1703249)------------------------------
% 1.72/0.70 % (1703249)------------------------------
% 1.72/0.70 % (1703247)Instruction limit reached!
% 1.72/0.70 % (1703247)------------------------------
% 1.72/0.70 % (1703247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.70 % (1703247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.70 % (1703247)CaDiCaL version: 2.1.3
% 1.72/0.70 % (1703247)Termination reason: Instruction limit
% 1.72/0.70 % (1703247)Termination phase: Saturation
% 1.72/0.70 % (1703247)Time elapsed: 0.014 s
% 1.72/0.70 % (1703247)Peak memory usage: 12 MB
% 1.72/0.70 % (1703247)Instructions burned: 14 (million)
% 1.72/0.70 % (1703254)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1242025848:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.72/0.70 % (1703252)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=418568665:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.72/0.70 % (1703254)Instruction limit reached!
% 1.72/0.70 % (1703254)------------------------------
% 1.72/0.70 % (1703254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.70 % (1703254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.70 % (1703254)CaDiCaL version: 2.1.3
% 1.72/0.70 % (1703254)Termination reason: Instruction limit
% 2.01/0.77 % (1703254)Termination phase: Saturation
% 2.01/0.77 % (1703254)Time elapsed: 0.009 s
% 2.01/0.77 % (1703254)Peak memory usage: 11 MB
% 2.01/0.77 % (1703254)Instructions burned: 24 (million)
% 2.01/0.77 % (1703232)Instruction limit reached!
% 2.01/0.77 % (1703232)------------------------------
% 2.01/0.77 % (1703232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.77 % (1703232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.77 % (1703232)CaDiCaL version: 2.1.3
% 2.01/0.77 % (1703232)Termination reason: Instruction limit
% 2.01/0.77 % (1703232)Termination phase: Saturation
% 2.01/0.77 % (1703232)Time elapsed: 0.068 s
% 2.01/0.77 % (1703232)Peak memory usage: 12 MB
% 2.01/0.77 % (1703232)Instructions burned: 86 (million)
% 2.01/0.77 % (1703258)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
% 2.01/0.77 % (1703258)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.01/0.78 % (1703256)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=845435128:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.01/0.78 % (1703258)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=3516171332:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.01/0.78 % (1703259)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.01/0.78 % (1703252)Instruction limit reached!
% 2.01/0.78 % (1703252)------------------------------
% 2.01/0.78 % (1703252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.78 % (1703252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.78 % (1703252)CaDiCaL version: 2.1.3
% 2.01/0.78 % (1703252)Termination reason: Instruction limit
% 2.01/0.78 % (1703252)Termination phase: Saturation
% 2.01/0.78 % (1703252)Time elapsed: 0.024 s
% 2.01/0.78 % (1703252)Peak memory usage: 12 MB
% 2.01/0.78 % (1703252)Instructions burned: 26 (million)
% 2.01/0.78 % (1703258)Instruction limit reached!
% 2.01/0.78 % (1703258)------------------------------
% 2.01/0.78 % (1703258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.78 % (1703258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.78 % (1703258)CaDiCaL version: 2.1.3
% 2.01/0.78 % (1703258)Termination reason: Instruction limit
% 2.01/0.78 % (1703258)Termination phase: Saturation
% 2.01/0.78 % (1703258)Time elapsed: 0.014 s
% 2.01/0.78 % (1703258)Peak memory usage: 12 MB
% 2.01/0.78 % (1703258)Instructions burned: 14 (million)
% 2.01/0.78 % (1703259)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=1068931915:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.01/0.78 % (1703263)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=672960293:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.01/0.78 % (1703259)Instruction limit reached!
% 2.01/0.78 % (1703259)------------------------------
% 2.01/0.78 % (1703259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.78 % (1703259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.78 % (1703259)CaDiCaL version: 2.1.3
% 2.01/0.78 % (1703259)Termination reason: Instruction limit
% 2.01/0.78 % (1703259)Termination phase: Saturation
% 2.01/0.78 % (1703259)Time elapsed: 0.008 s
% 2.01/0.78 % (1703259)Peak memory usage: 11 MB
% 2.01/0.78 % (1703259)Instructions burned: 8 (million)
% 2.01/0.78 % (1703262)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=3012613636:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.01/0.78 % (1703263)Instruction limit reached!
% 2.01/0.78 % (1703263)------------------------------
% 2.01/0.78 % (1703263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.78 % (1703263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.78 % (1703263)CaDiCaL version: 2.1.3
% 2.28/0.83 % (1703263)Termination reason: Instruction limit
% 2.28/0.83 % (1703263)Termination phase: Saturation
% 2.28/0.83 % (1703263)Time elapsed: 0.008 s
% 2.28/0.83 % (1703263)Peak memory usage: 12 MB
% 2.28/0.83 % (1703263)Instructions burned: 8 (million)
% 2.28/0.83 % (1703266)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3457420019:i=23:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/23Mi)
% 2.28/0.83 % (1703266)Instruction limit reached!
% 2.28/0.83 % (1703266)------------------------------
% 2.28/0.83 % (1703266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.83 % (1703266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.83 % (1703266)CaDiCaL version: 2.1.3
% 2.28/0.83 % (1703266)Termination reason: Instruction limit
% 2.28/0.83 % (1703266)Termination phase: Saturation
% 2.28/0.83 % (1703266)Time elapsed: 0.010 s
% 2.28/0.83 % (1703266)Peak memory usage: 11 MB
% 2.28/0.83 % (1703266)Instructions burned: 24 (million)
% 2.28/0.83 % (1703256)Instruction limit reached!
% 2.28/0.83 % (1703256)------------------------------
% 2.28/0.83 % (1703256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.83 % (1703256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.83 % (1703256)CaDiCaL version: 2.1.3
% 2.28/0.83 % (1703256)Termination reason: Instruction limit
% 2.28/0.83 % (1703256)Termination phase: Saturation
% 2.28/0.83 % (1703256)Time elapsed: 0.045 s
% 2.28/0.83 % (1703256)Peak memory usage: 12 MB
% 2.28/0.83 % (1703256)Instructions burned: 60 (million)
% 2.28/0.83 % (1703267)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=520450871:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/20Mi)
% 2.28/0.83 % (1703262)Instruction limit reached!
% 2.28/0.83 % (1703262)------------------------------
% 2.28/0.83 % (1703262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.83 % (1703262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.83 % (1703262)CaDiCaL version: 2.1.3
% 2.28/0.83 % (1703262)Termination reason: Instruction limit
% 2.28/0.83 % (1703262)Termination phase: Saturation
% 2.28/0.83 % (1703262)Time elapsed: 0.028 s
% 2.28/0.83 % (1703262)Peak memory usage: 12 MB
% 2.28/0.83 % (1703262)Instructions burned: 32 (million)
% 2.28/0.83 % (1703271)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2827364095:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 2.28/0.83 % (1703275)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=430048578:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.28/0.83 % (1703273)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2894519007:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 2.28/0.83 % (1703267)Instruction limit reached!
% 2.28/0.83 % (1703267)------------------------------
% 2.28/0.83 % (1703267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.83 % (1703267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.83 % (1703267)CaDiCaL version: 2.1.3
% 2.28/0.83 % (1703267)Termination reason: Instruction limit
% 2.28/0.83 % (1703267)Termination phase: Saturation
% 2.28/0.83 % (1703267)Time elapsed: 0.019 s
% 2.28/0.83 % (1703267)Peak memory usage: 12 MB
% 2.28/0.83 % (1703267)Instructions burned: 21 (million)
% 2.28/0.83 % (1703274)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2612841996:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 2.28/0.83 % (1703274)Refutation not found, incomplete strategy
% 2.28/0.83 % (1703274)------------------------------
% 2.28/0.83 % (1703274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.83 % (1703274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.83 % (1703274)CaDiCaL version: 2.1.3
% 2.28/0.83 % (1703274)Termination reason: Refutation not found, incomplete strategy
% 2.28/0.83 % (1703274)Time elapsed: 0.001 s
% 2.28/0.83 % (1703274)Peak memory usage: 11 MB
% 2.28/0.83 % (1703278)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.28/0.83 % (1703274)------------------------------
% 2.28/0.83 % (1703274)------------------------------
% 2.28/0.83 % (1703275)Instruction limit reached!
% 2.28/0.83 % (1703275)------------------------------
% 2.28/0.83 % (1703275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.94 % (1703275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.94 % (1703275)CaDiCaL version: 2.1.3
% 2.52/0.94 % (1703275)Termination reason: Instruction limit
% 2.52/0.94 % (1703275)Termination phase: Saturation
% 2.52/0.94 % (1703275)Time elapsed: 0.017 s
% 2.52/0.94 % (1703275)Peak memory usage: 12 MB
% 2.52/0.94 % (1703275)Instructions burned: 43 (million)
% 2.52/0.94 % (1703278)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3843198386:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.52/0.94 % (1703278)Instruction limit reached!
% 2.52/0.94 % (1703278)------------------------------
% 2.52/0.94 % (1703278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.94 % (1703278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.94 % (1703278)CaDiCaL version: 2.1.3
% 2.52/0.94 % (1703278)Termination reason: Instruction limit
% 2.52/0.94 % (1703278)Termination phase: Saturation
% 2.52/0.94 % (1703278)Time elapsed: 0.009 s
% 2.52/0.94 % (1703278)Peak memory usage: 12 MB
% 2.52/0.94 % (1703278)Instructions burned: 8 (million)
% 2.52/0.94 % (1703281)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2644782697:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.52/0.94 % (1703281)Refutation not found, incomplete strategy
% 2.52/0.94 % (1703281)------------------------------
% 2.52/0.94 % (1703281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.94 % (1703281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.94 % (1703281)CaDiCaL version: 2.1.3
% 2.52/0.94 % (1703281)Termination reason: Refutation not found, incomplete strategy
% 2.52/0.94 % (1703281)Time elapsed: 0.001 s
% 2.52/0.94 % (1703281)Peak memory usage: 11 MB
% 2.52/0.94 % (1703281)------------------------------
% 2.52/0.94 % (1703281)------------------------------
% 2.52/0.94 % (1703283)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=899410992: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)
% 2.52/0.94 % (1703283)Refutation not found, incomplete strategy
% 2.52/0.94 % (1703283)------------------------------
% 2.52/0.94 % (1703283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.94 % (1703283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.94 % (1703283)CaDiCaL version: 2.1.3
% 2.52/0.94 % (1703283)Termination reason: Refutation not found, incomplete strategy
% 2.52/0.94 % (1703283)Time elapsed: 0.001 s
% 2.52/0.94 % (1703283)Peak memory usage: 11 MB
% 2.52/0.94 % (1703283)------------------------------
% 2.52/0.94 % (1703283)------------------------------
% 2.52/0.94 % (1703285)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.52/0.94 % (1703285)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3298320122:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.52/0.94 % (1703285)Refutation not found, incomplete strategy
% 2.52/0.94 % (1703285)------------------------------
% 2.52/0.94 % (1703285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.94 % (1703285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.94 % (1703285)CaDiCaL version: 2.1.3
% 2.52/0.94 % (1703285)Termination reason: Refutation not found, incomplete strategy
% 2.52/0.94 % (1703285)Time elapsed: 0.001 s
% 2.52/0.94 % (1703285)Peak memory usage: 11 MB
% 2.52/0.94 % (1703285)Instructions burned: 1 (million)
% 2.52/0.94 % (1703285)------------------------------
% 2.52/0.94 % (1703285)------------------------------
% 2.52/0.94 % (1703286)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1682165872:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.52/0.94 % (1703288)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=30117511:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 2.52/0.94 % (1703288)Refutation not found, incomplete strategy
% 2.52/0.94 % (1703288)------------------------------
% 2.92/1.04 % (1703288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.04 % (1703288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.04 % (1703288)CaDiCaL version: 2.1.3
% 2.92/1.04 % (1703288)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.04 % (1703288)Time elapsed: 0.001 s
% 2.92/1.04 % (1703288)Peak memory usage: 12 MB
% 2.92/1.04 % (1703288)Instructions burned: 2 (million)
% 2.92/1.04 % (1703288)------------------------------
% 2.92/1.04 % (1703288)------------------------------
% 2.92/1.04 % (1703290)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=3148915301:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 2.92/1.04 % (1703292)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=165149587:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 2.92/1.04 % (1703286)Instruction limit reached!
% 2.92/1.04 % (1703286)------------------------------
% 2.92/1.04 % (1703286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.04 % (1703286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.04 % (1703286)CaDiCaL version: 2.1.3
% 2.92/1.04 % (1703286)Termination reason: Instruction limit
% 2.92/1.04 % (1703286)Termination phase: Saturation
% 2.92/1.04 % (1703286)Time elapsed: 0.019 s
% 2.92/1.04 % (1703286)Peak memory usage: 12 MB
% 2.92/1.04 % (1703286)Instructions burned: 23 (million)
% 2.92/1.04 % (1703273)Instruction limit reached!
% 2.92/1.04 % (1703273)------------------------------
% 2.92/1.04 % (1703273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.04 % (1703273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.04 % (1703273)CaDiCaL version: 2.1.3
% 2.92/1.04 % (1703273)Termination reason: Instruction limit
% 2.92/1.04 % (1703273)Termination phase: Saturation
% 2.92/1.04 % (1703273)Time elapsed: 0.102 s
% 2.92/1.04 % (1703273)Peak memory usage: 13 MB
% 2.92/1.04 % (1703273)Instructions burned: 143 (million)
% 2.92/1.04 % (1703295)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=4280114389:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 2.92/1.04 % (1703295)Instruction limit reached!
% 2.92/1.04 % (1703295)------------------------------
% 2.92/1.04 % (1703295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.04 % (1703295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.04 % (1703295)CaDiCaL version: 2.1.3
% 2.92/1.04 % (1703295)Termination reason: Instruction limit
% 2.92/1.04 % (1703295)Termination phase: Saturation
% 2.92/1.04 % (1703295)Time elapsed: 0.021 s
% 2.92/1.04 % (1703295)Peak memory usage: 12 MB
% 2.92/1.04 % (1703295)Instructions burned: 46 (million)
% 2.92/1.04 % (1703298)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1985345137:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 2.92/1.04 % (1703299)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3197686090: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)
% 2.92/1.04 % (1703298)Refutation not found, incomplete strategy
% 2.92/1.04 % (1703298)------------------------------
% 2.92/1.04 % (1703298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.04 % (1703298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.04 % (1703298)CaDiCaL version: 2.1.3
% 2.92/1.04 % (1703298)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.04 % (1703298)Time elapsed: 0.002 s
% 2.92/1.04 % (1703298)Peak memory usage: 12 MB
% 2.92/1.04 % (1703298)Instructions burned: 1 (million)
% 2.92/1.04 % (1703298)------------------------------
% 2.92/1.04 % (1703298)------------------------------
% 2.92/1.04 % (1703301)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.92/1.04 % (1703301)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3449710484:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 2.92/1.10 % (1703299)Instruction limit reached!
% 2.92/1.10 % (1703299)------------------------------
% 2.92/1.10 % (1703299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.10 % (1703299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.10 % (1703299)CaDiCaL version: 2.1.3
% 2.92/1.10 % (1703299)Termination reason: Instruction limit
% 2.92/1.10 % (1703299)Termination phase: Saturation
% 2.92/1.10 % (1703299)Time elapsed: 0.019 s
% 2.92/1.10 % (1703299)Peak memory usage: 12 MB
% 2.92/1.10 % (1703299)Instructions burned: 21 (million)
% 2.92/1.10 % (1703304)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1987431932:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 2.92/1.10 % (1703214)Instruction limit reached!
% 2.92/1.10 % (1703214)------------------------------
% 2.92/1.10 % (1703214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.10 % (1703214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.10 % (1703214)CaDiCaL version: 2.1.3
% 2.92/1.10 % (1703214)Termination reason: Instruction limit
% 2.92/1.10 % (1703214)Termination phase: Saturation
% 2.92/1.10 % (1703214)Time elapsed: 0.406 s
% 2.92/1.10 % (1703214)Peak memory usage: 13 MB
% 2.92/1.10 % (1703214)Instructions burned: 635 (million)
% 2.92/1.10 % (1703304)Instruction limit reached!
% 2.92/1.10 % (1703304)------------------------------
% 2.92/1.10 % (1703304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.10 % (1703304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.10 % (1703304)CaDiCaL version: 2.1.3
% 2.92/1.10 % (1703304)Termination reason: Instruction limit
% 2.92/1.10 % (1703304)Termination phase: Saturation
% 2.92/1.10 % (1703304)Time elapsed: 0.007 s
% 2.92/1.10 % (1703304)Peak memory usage: 12 MB
% 2.92/1.10 % (1703304)Instructions burned: 15 (million)
% 2.92/1.10 % (1703306)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=4207256967:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 2.92/1.10 % (1703308)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=550379090:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 2.92/1.10 % (1703308)Refutation not found, incomplete strategy
% 2.92/1.10 % (1703308)------------------------------
% 2.92/1.10 % (1703308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.10 % (1703308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.10 % (1703308)CaDiCaL version: 2.1.3
% 2.92/1.10 % (1703308)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.10 % (1703308)Time elapsed: 0.002 s
% 2.92/1.10 % (1703308)Peak memory usage: 11 MB
% 2.92/1.10 % (1703308)Instructions burned: 1 (million)
% 2.92/1.10 % (1703308)------------------------------
% 2.92/1.10 % (1703308)------------------------------
% 2.92/1.10 % (1703309)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=44087284:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 2.92/1.10 % (1703312)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3771414563:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 2.92/1.10 % (1703309)Instruction limit reached!
% 2.92/1.10 % (1703309)------------------------------
% 2.92/1.10 % (1703309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.10 % (1703309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.10 % (1703309)CaDiCaL version: 2.1.3
% 2.92/1.10 % (1703309)Termination reason: Instruction limit
% 2.92/1.10 % (1703309)Termination phase: Saturation
% 2.92/1.10 % (1703309)Time elapsed: 0.044 s
% 2.92/1.10 % (1703309)Peak memory usage: 12 MB
% 2.92/1.10 % (1703309)Instructions burned: 31 (million)
% 2.92/1.10 % (1703306)Instruction limit reached!
% 2.92/1.10 % (1703306)------------------------------
% 2.92/1.10 % (1703306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/1.10 % (1703306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.10 % (1703306)CaDiCaL version: 2.1.3
% 2.92/1.10 % (1703306)Termination reason: Instruction limit
% 2.92/1.10 % (1703306)Termination phase: Saturation
% 4.55/1.21 % (1703306)Time elapsed: 0.075 s
% 4.55/1.21 % (1703306)Peak memory usage: 12 MB
% 4.55/1.21 % (1703306)Instructions burned: 67 (million)
% 4.55/1.21 % (1703315)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=4132535557:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 4.55/1.21 % (1703301)Instruction limit reached!
% 4.55/1.21 % (1703301)------------------------------
% 4.55/1.21 % (1703301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.21 % (1703301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.21 % (1703301)CaDiCaL version: 2.1.3
% 4.55/1.21 % (1703315)Instruction limit reached!
% 4.55/1.21 % (1703315)------------------------------
% 4.55/1.21 % (1703315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.21 % (1703301)Termination reason: Instruction limit
% 4.55/1.21 % (1703301)Termination phase: Saturation
% 4.55/1.21 % (1703301)Time elapsed: 0.134 s
% 4.55/1.21 % (1703301)Peak memory usage: 12 MB
% 4.55/1.21 % (1703315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.21 % (1703301)Instructions burned: 200 (million)
% 4.55/1.21 % (1703315)CaDiCaL version: 2.1.3
% 4.55/1.21 % (1703315)Termination reason: Instruction limit
% 4.55/1.21 % (1703315)Termination phase: Saturation
% 4.55/1.21 % (1703315)Time elapsed: 0.019 s
% 4.55/1.21 % (1703315)Peak memory usage: 12 MB
% 4.55/1.21 % (1703315)Instructions burned: 36 (million)
% 4.55/1.21 % (1703312)Instruction limit reached!
% 4.55/1.21 % (1703312)------------------------------
% 4.55/1.21 % (1703312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.21 % (1703312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.21 % (1703312)CaDiCaL version: 2.1.3
% 4.55/1.21 % (1703312)Termination reason: Instruction limit
% 4.55/1.21 % (1703312)Termination phase: Saturation
% 4.55/1.21 % (1703312)Time elapsed: 0.047 s
% 4.55/1.21 % (1703312)Peak memory usage: 12 MB
% 4.55/1.21 % (1703312)Instructions burned: 137 (million)
% 4.55/1.21 % (1703317)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1585804497:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 4.55/1.21 % (1703317)Refutation not found, incomplete strategy
% 4.55/1.21 % (1703317)------------------------------
% 4.55/1.21 % (1703317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.21 % (1703317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.21 % (1703317)CaDiCaL version: 2.1.3
% 4.55/1.21 % (1703317)Termination reason: Refutation not found, incomplete strategy
% 4.55/1.21 % (1703317)Time elapsed: 0.002 s
% 4.55/1.21 % (1703317)Peak memory usage: 11 MB
% 4.55/1.21 % (1703317)Instructions burned: 1 (million)
% 4.55/1.21 % (1703317)------------------------------
% 4.55/1.21 % (1703317)------------------------------
% 4.55/1.21 % (1703318)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 4.55/1.21 % (1703290)Instruction limit reached!
% 4.55/1.21 % (1703290)------------------------------
% 4.55/1.21 % (1703290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.21 % (1703290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.21 % (1703290)CaDiCaL version: 2.1.3
% 4.55/1.21 % (1703290)Termination reason: Instruction limit
% 4.55/1.21 % (1703290)Termination phase: Saturation
% 4.55/1.21 % (1703290)Time elapsed: 0.248 s
% 4.55/1.21 % (1703290)Peak memory usage: 13 MB
% 4.55/1.21 % (1703290)Instructions burned: 316 (million)
% 4.55/1.21 % (1703318)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3873669912:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2993 on theBenchmark for (2993ds/180Mi)
% 4.55/1.21 % (1703319)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1922254693:st=2:i=246:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/246Mi)
% 4.55/1.21 % (1703322)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3357861236:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 4.55/1.21 % (1703319)Refutation not found, incomplete strategy
% 4.55/1.21 % (1703319)------------------------------
% 4.55/1.21 % (1703319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.21 % (1703319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.21 % (1703319)CaDiCaL version: 2.1.3
% 5.41/1.35 % (1703319)Termination reason: Refutation not found, incomplete strategy
% 5.41/1.35 % (1703319)Time elapsed: 0.005 s
% 5.41/1.35 % (1703319)Peak memory usage: 11 MB
% 5.41/1.35 % (1703322)Refutation not found, incomplete strategy
% 5.41/1.35 % (1703322)------------------------------
% 5.41/1.35 % (1703322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.41/1.35 % (1703322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.35 % (1703322)CaDiCaL version: 2.1.3
% 5.41/1.35 % (1703322)Termination reason: Refutation not found, incomplete strategy
% 5.41/1.35 % (1703322)Time elapsed: 0.0000 s
% 5.41/1.35 % (1703322)Peak memory usage: 11 MB
% 5.41/1.35 % (1703322)------------------------------
% 5.41/1.35 % (1703322)------------------------------
% 5.41/1.35 % (1703319)------------------------------
% 5.41/1.35 % (1703319)------------------------------
% 5.41/1.35 % (1703320)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2988329769:cond=on:i=96:bd=all:rtra=on_2993 on theBenchmark for (2993ds/96Mi)
% 5.41/1.35 % (1703324)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3726601526:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/874Mi)
% 5.41/1.35 % (1703324)Refutation not found, incomplete strategy
% 5.41/1.35 % (1703324)------------------------------
% 5.41/1.35 % (1703324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.41/1.35 % (1703324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.35 % (1703324)CaDiCaL version: 2.1.3
% 5.41/1.35 % (1703324)Termination reason: Refutation not found, incomplete strategy
% 5.41/1.35 % (1703324)Time elapsed: 0.001 s
% 5.41/1.35 % (1703324)Peak memory usage: 11 MB
% 5.41/1.35 % (1703324)------------------------------
% 5.41/1.35 % (1703324)------------------------------
% 5.41/1.35 % (1703327)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3047442372:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/515Mi)
% 5.41/1.35 % (1703328)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3158303605:st=1.5:i=130:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 5.41/1.35 % (1703327)Refutation not found, incomplete strategy
% 5.41/1.35 % (1703327)------------------------------
% 5.41/1.35 % (1703327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.41/1.35 % (1703327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.35 % (1703327)CaDiCaL version: 2.1.3
% 5.41/1.35 % (1703327)Termination reason: Refutation not found, incomplete strategy
% 5.41/1.35 % (1703327)Time elapsed: 0.001 s
% 5.41/1.35 % (1703327)Peak memory usage: 12 MB
% 5.41/1.35 % (1703327)------------------------------
% 5.41/1.35 % (1703327)------------------------------
% 5.41/1.35 % (1703328)Refutation not found, incomplete strategy
% 5.41/1.35 % (1703328)------------------------------
% 5.41/1.35 % (1703328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.41/1.35 % (1703328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.35 % (1703328)CaDiCaL version: 2.1.3
% 5.41/1.35 % (1703328)Termination reason: Refutation not found, incomplete strategy
% 5.41/1.35 % (1703328)Time elapsed: 0.002 s
% 5.41/1.35 % (1703328)Peak memory usage: 11 MB
% 5.41/1.35 % (1703328)Instructions burned: 1 (million)
% 5.41/1.35 % (1703328)------------------------------
% 5.41/1.35 % (1703328)------------------------------
% 5.41/1.35 % (1703320)Instruction limit reached!
% 5.41/1.35 % (1703320)------------------------------
% 5.41/1.35 % (1703320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.41/1.35 % (1703320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.35 % (1703320)CaDiCaL version: 2.1.3
% 5.41/1.35 % (1703320)Termination reason: Instruction limit
% 5.41/1.35 % (1703320)Termination phase: Saturation
% 5.41/1.35 % (1703320)Time elapsed: 0.041 s
% 5.41/1.35 % (1703320)Peak memory usage: 12 MB
% 5.41/1.35 % (1703320)Instructions burned: 98 (million)
% 5.41/1.35 % (1703331)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=527249176:i=44:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/44Mi)
% 5.41/1.35 % (1703334)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=763209751:s2a=on:i=571:nm=16:rtra=on_2992 on theBenchmark for (2992ds/571Mi)
% 5.41/1.35 % (1703334)Refutation not found, incomplete strategy
% 5.41/1.35 % (1703334)------------------------------
% 5.68/1.44 % (1703334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.44 % (1703334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.44 % (1703334)CaDiCaL version: 2.1.3
% 5.68/1.44 % (1703334)Termination reason: Refutation not found, incomplete strategy
% 5.68/1.44 % (1703334)Time elapsed: 0.001 s
% 5.68/1.44 % (1703334)Peak memory usage: 11 MB
% 5.68/1.44 % (1703334)Instructions burned: 1 (million)
% 5.68/1.44 % (1703334)------------------------------
% 5.68/1.44 % (1703334)------------------------------
% 5.68/1.44 % (1703335)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=4286098862:i=450:rtra=on:ixr=off:ntd=on_2992 on theBenchmark for (2992ds/450Mi)
% 5.68/1.44 % (1703336)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2959762806:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/95Mi)
% 5.68/1.44 % (1703331)Instruction limit reached!
% 5.68/1.44 % (1703331)------------------------------
% 5.68/1.44 % (1703331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.44 % (1703331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.44 % (1703331)CaDiCaL version: 2.1.3
% 5.68/1.44 % (1703331)Termination reason: Instruction limit
% 5.68/1.44 % (1703331)Termination phase: Saturation
% 5.68/1.44 % (1703331)Time elapsed: 0.036 s
% 5.68/1.44 % (1703331)Peak memory usage: 12 MB
% 5.68/1.44 % (1703331)Instructions burned: 44 (million)
% 5.68/1.44 % (1703339)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=3092687697:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2992 on theBenchmark for (2992ds/65Mi)
% 5.68/1.44 % (1703318)Instruction limit reached!
% 5.68/1.44 % (1703318)------------------------------
% 5.68/1.44 % (1703318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.44 % (1703318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.44 % (1703318)CaDiCaL version: 2.1.3
% 5.68/1.44 % (1703318)Termination reason: Instruction limit
% 5.68/1.44 % (1703318)Termination phase: Saturation
% 5.68/1.44 % (1703318)Time elapsed: 0.143 s
% 5.68/1.44 % (1703318)Peak memory usage: 12 MB
% 5.68/1.44 % (1703318)Instructions burned: 185 (million)
% 5.68/1.44 % (1703342)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=3431882162: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)
% 5.68/1.44 % (1703336)Instruction limit reached!
% 5.68/1.44 % (1703336)------------------------------
% 5.68/1.44 % (1703336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.44 % (1703336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.44 % (1703336)CaDiCaL version: 2.1.3
% 5.68/1.44 % (1703336)Termination reason: Instruction limit
% 5.68/1.44 % (1703336)Termination phase: Saturation
% 5.68/1.44 % (1703336)Time elapsed: 0.072 s
% 5.68/1.44 % (1703336)Peak memory usage: 12 MB
% 5.68/1.44 % (1703336)Instructions burned: 95 (million)
% 5.68/1.44 % (1703346)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2647628839:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/375Mi)
% 5.68/1.44 % (1703346)Refutation not found, incomplete strategy
% 5.68/1.44 % (1703346)------------------------------
% 5.68/1.44 % (1703346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.44 % (1703346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.44 % (1703346)CaDiCaL version: 2.1.3
% 5.68/1.44 % (1703346)Termination reason: Refutation not found, incomplete strategy
% 5.68/1.44 % (1703346)Time elapsed: 0.001 s
% 5.68/1.44 % (1703346)Peak memory usage: 11 MB
% 5.68/1.44 % (1703346)------------------------------
% 5.68/1.44 % (1703346)------------------------------
% 5.68/1.44 % (1703344)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=84206586: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)
% 5.68/1.44 % (1703344)Refutation not found, incomplete strategy
% 6.01/1.62 % (1703344)------------------------------
% 6.01/1.62 % (1703344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.62 % (1703344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.62 % (1703344)CaDiCaL version: 2.1.3
% 6.01/1.62 % (1703344)Termination reason: Refutation not found, incomplete strategy
% 6.01/1.62 % (1703344)Time elapsed: 0.001 s
% 6.01/1.62 % (1703344)Peak memory usage: 12 MB
% 6.01/1.62 % (1703344)------------------------------
% 6.01/1.62 % (1703344)------------------------------
% 6.01/1.62 % (1703339)Instruction limit reached!
% 6.01/1.62 % (1703339)------------------------------
% 6.01/1.62 % (1703339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.62 % (1703339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.62 % (1703339)CaDiCaL version: 2.1.3
% 6.01/1.62 % (1703339)Termination reason: Instruction limit
% 6.01/1.62 % (1703339)Termination phase: Saturation
% 6.01/1.62 % (1703339)Time elapsed: 0.057 s
% 6.01/1.62 % (1703339)Peak memory usage: 12 MB
% 6.01/1.62 % (1703339)Instructions burned: 65 (million)
% 6.01/1.62 % (1703348)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3216790848:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/495Mi)
% 6.01/1.62 % (1703350)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=1947567626:cond=on:i=34:hud=10:nm=10:rtra=on_2991 on theBenchmark for (2991ds/34Mi)
% 6.01/1.62 % (1703351)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2098650609:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/91Mi)
% 6.01/1.62 % (1703342)Instruction limit reached!
% 6.01/1.62 % (1703342)------------------------------
% 6.01/1.62 % (1703342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.62 % (1703342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.62 % (1703342)CaDiCaL version: 2.1.3
% 6.01/1.62 % (1703342)Termination reason: Instruction limit
% 6.01/1.62 % (1703342)Termination phase: Saturation
% 6.01/1.62 % (1703342)Time elapsed: 0.093 s
% 6.01/1.62 % (1703342)Peak memory usage: 12 MB
% 6.01/1.62 % (1703342)Instructions burned: 106 (million)
% 6.01/1.62 % (1703350)Instruction limit reached!
% 6.01/1.62 % (1703350)------------------------------
% 6.01/1.62 % (1703350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.62 % (1703335)Instruction limit reached!
% 6.01/1.62 % (1703335)------------------------------
% 6.01/1.62 % (1703335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.62 % (1703335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.62 % (1703350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.62 % (1703350)CaDiCaL version: 2.1.3
% 6.01/1.62 % (1703335)CaDiCaL version: 2.1.3
% 6.01/1.62 % (1703350)Termination reason: Instruction limit
% 6.01/1.62 % (1703350)Termination phase: Saturation
% 6.01/1.62 % (1703335)Termination reason: Instruction limit
% 6.01/1.62 % (1703335)Termination phase: Saturation
% 6.01/1.62 % (1703350)Time elapsed: 0.035 s
% 6.01/1.62 % (1703335)Time elapsed: 0.178 s
% 6.01/1.62 % (1703350)Peak memory usage: 12 MB
% 6.01/1.62 % (1703335)Peak memory usage: 12 MB
% 6.01/1.62 % (1703350)Instructions burned: 34 (million)
% 6.01/1.62 % (1703335)Instructions burned: 450 (million)
% 6.01/1.62 % (1703292)Instruction limit reached!
% 6.01/1.62 % (1703292)------------------------------
% 6.01/1.62 % (1703292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.62 % (1703292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.62 % (1703292)CaDiCaL version: 2.1.3
% 6.01/1.62 % (1703292)Termination reason: Instruction limit
% 6.01/1.62 % (1703292)Termination phase: Saturation
% 6.01/1.62 % (1703292)Time elapsed: 0.529 s
% 6.01/1.62 % (1703292)Peak memory usage: 13 MB
% 6.01/1.62 % (1703292)Instructions burned: 855 (million)
% 6.01/1.62 % (1703355)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1360555785: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)
% 6.01/1.62 % (1703355)Refutation not found, incomplete strategy
% 6.01/1.62 % (1703355)------------------------------
% 6.01/1.62 % (1703355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.62 % (1703355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.73 % (1703355)CaDiCaL version: 2.1.3
% 6.79/1.73 % (1703355)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.73 % (1703355)Time elapsed: 0.001 s
% 6.79/1.73 % (1703355)Peak memory usage: 11 MB
% 6.79/1.73 % (1703355)------------------------------
% 6.79/1.73 % (1703355)------------------------------
% 6.79/1.73 % (1703356)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2658780403:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2990 on theBenchmark for (2990ds/22Mi)
% 6.79/1.73 % (1703358)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1771358530:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/28Mi)
% 6.79/1.73 % (1703357)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=1389836287:i=338:bd=all:ins=4:rtra=on_2990 on theBenchmark for (2990ds/338Mi)
% 6.79/1.73 % (1703351)Instruction limit reached!
% 6.79/1.73 % (1703351)------------------------------
% 6.79/1.73 % (1703351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.73 % (1703351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.73 % (1703351)CaDiCaL version: 2.1.3
% 6.79/1.73 % (1703351)Termination reason: Instruction limit
% 6.79/1.73 % (1703351)Termination phase: Saturation
% 6.79/1.73 % (1703351)Time elapsed: 0.103 s
% 6.79/1.73 % (1703351)Peak memory usage: 12 MB
% 6.79/1.73 % (1703351)Instructions burned: 94 (million)
% 6.79/1.73 % (1703358)Refutation not found, incomplete strategy
% 6.79/1.73 % (1703358)------------------------------
% 6.79/1.73 % (1703358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.73 % (1703358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.73 % (1703358)CaDiCaL version: 2.1.3
% 6.79/1.73 % (1703358)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.73 % (1703358)Time elapsed: 0.008 s
% 6.79/1.73 % (1703358)Peak memory usage: 11 MB
% 6.79/1.73 % (1703358)------------------------------
% 6.79/1.73 % (1703358)------------------------------
% 6.79/1.73 % (1703356)Instruction limit reached!
% 6.79/1.73 % (1703356)------------------------------
% 6.79/1.73 % (1703356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.73 % (1703356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.73 % (1703356)CaDiCaL version: 2.1.3
% 6.79/1.73 % (1703356)Termination reason: Instruction limit
% 6.79/1.73 % (1703356)Termination phase: Saturation
% 6.79/1.73 % (1703356)Time elapsed: 0.019 s
% 6.79/1.73 % (1703356)Peak memory usage: 12 MB
% 6.79/1.73 % (1703356)Instructions burned: 22 (million)
% 6.79/1.73 % (1703361)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.79/1.73 % (1703364)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=569740439:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/340Mi)
% 6.79/1.73 % (1703361)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2928779844: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)
% 6.79/1.73 % (1703366)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.79/1.73 % (1703365)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1370772202:i=227:sd=1:bd=all:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/227Mi)
% 6.79/1.73 % (1703365)Refutation not found, incomplete strategy
% 6.79/1.73 % (1703365)------------------------------
% 6.79/1.73 % (1703365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.73 % (1703365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.73 % (1703365)CaDiCaL version: 2.1.3
% 6.79/1.73 % (1703365)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.73 % (1703365)Time elapsed: 0.0000 s
% 6.79/1.73 % (1703366)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1467415169:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/373Mi)
% 6.79/1.73 % (1703365)Peak memory usage: 11 MB
% 6.79/1.73 % (1703365)------------------------------
% 6.79/1.79 % (1703365)------------------------------
% 6.79/1.79 % (1703361)Instruction limit reached!
% 6.79/1.79 % (1703361)------------------------------
% 6.79/1.79 % (1703361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.79 % (1703361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.79 % (1703361)CaDiCaL version: 2.1.3
% 6.79/1.79 % (1703361)Termination reason: Instruction limit
% 6.79/1.79 % (1703361)Termination phase: Saturation
% 6.79/1.79 % (1703361)Time elapsed: 0.064 s
% 6.79/1.79 % (1703361)Peak memory usage: 12 MB
% 6.79/1.79 % (1703361)Instructions burned: 137 (million)
% 6.79/1.79 % (1703371)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=317008097:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 6.79/1.79 % (1703271)Instruction limit reached!
% 6.79/1.79 % (1703271)------------------------------
% 6.79/1.79 % (1703271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.79 % (1703271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.79 % (1703271)CaDiCaL version: 2.1.3
% 6.79/1.79 % (1703271)Termination reason: Instruction limit
% 6.79/1.79 % (1703271)Termination phase: Saturation
% 6.79/1.79 % (1703271)Time elapsed: 0.826 s
% 6.79/1.79 % (1703271)Peak memory usage: 13 MB
% 6.79/1.79 % (1703271)Instructions burned: 1240 (million)
% 6.79/1.79 % (1703372)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=800200612:i=575:rtra=on_2988 on theBenchmark for (2988ds/575Mi)
% 6.79/1.79 % (1703372)Refutation not found, incomplete strategy
% 6.79/1.79 % (1703372)------------------------------
% 6.79/1.79 % (1703372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.79 % (1703372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.79 % (1703372)CaDiCaL version: 2.1.3
% 6.79/1.79 % (1703372)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.79 % (1703372)Time elapsed: 0.001 s
% 6.79/1.79 % (1703372)Peak memory usage: 11 MB
% 6.79/1.79 % (1703372)Instructions burned: 1 (million)
% 6.79/1.79 % (1703372)------------------------------
% 6.79/1.79 % (1703372)------------------------------
% 6.79/1.79 % (1703374)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1418408172: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)
% 6.79/1.79 % (1703376)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=3003023750: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)
% 6.79/1.79 % (1703371)Instruction limit reached!
% 6.79/1.79 % (1703371)------------------------------
% 6.79/1.79 % (1703371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.79 % (1703371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.79 % (1703371)CaDiCaL version: 2.1.3
% 6.79/1.79 % (1703371)Termination reason: Instruction limit
% 6.79/1.79 % (1703371)Termination phase: Saturation
% 6.79/1.79 % (1703371)Time elapsed: 0.082 s
% 6.79/1.79 % (1703371)Peak memory usage: 12 MB
% 6.79/1.79 % (1703371)Instructions burned: 117 (million)
% 6.79/1.79 % (1703379)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1777523222:i=421:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/421Mi)
% 6.79/1.79 % (1703379)Refutation not found, incomplete strategy
% 6.79/1.79 % (1703379)------------------------------
% 6.79/1.79 % (1703379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.79 % (1703379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.79 % (1703379)CaDiCaL version: 2.1.3
% 6.79/1.79 % (1703379)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.79 % (1703379)Time elapsed: 0.0000 s
% 6.79/1.79 % (1703379)Peak memory usage: 11 MB
% 6.79/1.79 % (1703379)------------------------------
% 6.79/1.79 % (1703379)------------------------------
% 6.79/1.79 % (1703357)Instruction limit reached!
% 6.79/1.79 % (1703357)------------------------------
% 6.79/1.79 % (1703357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.79 % (1703357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.79 % (1703357)CaDiCaL version: 2.1.3
% 7.95/1.90 % (1703357)Termination reason: Instruction limit
% 7.95/1.90 % (1703357)Termination phase: Saturation
% 7.95/1.90 % (1703357)Time elapsed: 0.259 s
% 7.95/1.90 % (1703357)Peak memory usage: 14 MB
% 7.95/1.90 % (1703357)Instructions burned: 339 (million)
% 7.95/1.90 % (1703348)Instruction limit reached!
% 7.95/1.90 % (1703348)------------------------------
% 7.95/1.90 % (1703348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.90 % (1703348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.90 % (1703348)CaDiCaL version: 2.1.3
% 7.95/1.90 % (1703348)Termination reason: Instruction limit
% 7.95/1.90 % (1703348)Termination phase: Saturation
% 7.95/1.90 % (1703348)Time elapsed: 0.376 s
% 7.95/1.90 % (1703348)Peak memory usage: 13 MB
% 7.95/1.90 % (1703348)Instructions burned: 495 (million)
% 7.95/1.90 % (1703381)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
% 7.95/1.90 % (1703381)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=3038928676:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/270Mi)
% 7.95/1.90 % (1703383)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.95/1.90 % (1703383)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
% 7.95/1.90 % (1703382)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2903118857:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/31Mi)
% 7.95/1.90 % (1703383)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=3549447335:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2987 on theBenchmark for (2987ds/1440Mi)
% 7.95/1.90 % (1703382)Instruction limit reached!
% 7.95/1.90 % (1703382)------------------------------
% 7.95/1.90 % (1703382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.90 % (1703382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.90 % (1703382)CaDiCaL version: 2.1.3
% 7.95/1.90 % (1703382)Termination reason: Instruction limit
% 7.95/1.90 % (1703382)Termination phase: Saturation
% 7.95/1.90 % (1703382)Time elapsed: 0.028 s
% 7.95/1.90 % (1703382)Peak memory usage: 12 MB
% 7.95/1.90 % (1703382)Instructions burned: 31 (million)
% 7.95/1.90 % (1703364)Instruction limit reached!
% 7.95/1.90 % (1703364)------------------------------
% 7.95/1.90 % (1703364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.90 % (1703364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.90 % (1703364)CaDiCaL version: 2.1.3
% 7.95/1.90 % (1703364)Termination reason: Instruction limit
% 7.95/1.90 % (1703364)Termination phase: Saturation
% 7.95/1.90 % (1703364)Time elapsed: 0.278 s
% 7.95/1.90 % (1703364)Peak memory usage: 13 MB
% 7.95/1.90 % (1703364)Instructions burned: 341 (million)
% 7.95/1.90 % (1703387)dis+10_2_sil=128000:si=on:random_seed=867915865:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2986 on theBenchmark for (2986ds/339Mi)
% 7.95/1.90 % (1703387)Refutation not found, incomplete strategy
% 7.95/1.90 % (1703387)------------------------------
% 7.95/1.90 % (1703387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.90 % (1703387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.90 % (1703387)CaDiCaL version: 2.1.3
% 7.95/1.90 % (1703387)Termination reason: Refutation not found, incomplete strategy
% 7.95/1.90 % (1703387)Time elapsed: 0.0000 s
% 7.95/1.90 % (1703387)Peak memory usage: 11 MB
% 7.95/1.90 % (1703387)------------------------------
% 7.95/1.90 % (1703387)------------------------------
% 7.95/1.90 % (1703381)Instruction limit reached!
% 7.95/1.90 % (1703381)------------------------------
% 7.95/1.90 % (1703381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.90 % (1703381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.90 % (1703381)CaDiCaL version: 2.1.3
% 7.95/1.90 % (1703381)Termination reason: Instruction limit
% 7.95/1.90 % (1703381)Termination phase: Saturation
% 8.03/2.13 % (1703381)Time elapsed: 0.092 s
% 8.03/2.13 % (1703381)Peak memory usage: 12 MB
% 8.03/2.13 % (1703381)Instructions burned: 273 (million)
% 8.03/2.13 % (1703388)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=388682681:i=111:add=on:fgj=on:rtra=on:fdi=1024_2986 on theBenchmark for (2986ds/111Mi)
% 8.03/2.13 % (1703390)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=645083721: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)
% 8.03/2.13 % (1703390)Refutation not found, incomplete strategy
% 8.03/2.13 % (1703390)------------------------------
% 8.03/2.13 % (1703390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/2.13 % (1703390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.13 % (1703390)CaDiCaL version: 2.1.3
% 8.03/2.13 % (1703390)Termination reason: Refutation not found, incomplete strategy
% 8.03/2.13 % (1703390)Time elapsed: 0.001 s
% 8.03/2.13 % (1703390)Peak memory usage: 12 MB
% 8.03/2.13 % (1703390)------------------------------
% 8.03/2.13 % (1703390)------------------------------
% 8.03/2.13 % (1703374)Instruction limit reached!
% 8.03/2.13 % (1703374)------------------------------
% 8.03/2.13 % (1703374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/2.13 % (1703374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.13 % (1703374)CaDiCaL version: 2.1.3
% 8.03/2.13 % (1703374)Termination reason: Instruction limit
% 8.03/2.13 % (1703374)Termination phase: Saturation
% 8.03/2.13 % (1703374)Time elapsed: 0.206 s
% 8.03/2.13 % (1703374)Peak memory usage: 12 MB
% 8.03/2.13 % (1703374)Instructions burned: 270 (million)
% 8.03/2.13 % (1703391)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=495000072:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/136Mi)
% 8.03/2.13 % (1703391)Refutation not found, incomplete strategy
% 8.03/2.13 % (1703391)------------------------------
% 8.03/2.13 % (1703391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/2.13 % (1703391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.13 % (1703391)CaDiCaL version: 2.1.3
% 8.03/2.13 % (1703391)Termination reason: Refutation not found, incomplete strategy
% 8.03/2.13 % (1703391)Time elapsed: 0.009 s
% 8.03/2.13 % (1703391)Peak memory usage: 12 MB
% 8.03/2.13 % (1703391)Instructions burned: 1 (million)
% 8.03/2.13 % (1703391)------------------------------
% 8.03/2.13 % (1703391)------------------------------
% 8.03/2.13 % (1703394)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=824156932:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/232Mi)
% 8.03/2.13 % (1703394)Refutation not found, incomplete strategy
% 8.03/2.13 % (1703394)------------------------------
% 8.03/2.13 % (1703394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/2.13 % (1703394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.13 % (1703394)CaDiCaL version: 2.1.3
% 8.03/2.13 % (1703394)Termination reason: Refutation not found, incomplete strategy
% 8.03/2.13 % (1703394)Time elapsed: 0.0000 s
% 8.03/2.13 % (1703394)Peak memory usage: 11 MB
% 8.03/2.13 % (1703394)------------------------------
% 8.03/2.13 % (1703394)------------------------------
% 8.03/2.13 % (1703395)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=2736711221:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2985 on theBenchmark for (2985ds/1254Mi)
% 8.03/2.13 % (1703397)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 8.03/2.13 % (1703366)Instruction limit reached!
% 8.03/2.13 % (1703366)------------------------------
% 8.03/2.13 % (1703366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/2.13 % (1703366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.13 % (1703366)CaDiCaL version: 2.1.3
% 8.03/2.13 % (1703366)Termination reason: Instruction limit
% 8.03/2.13 % (1703366)Termination phase: Saturation
% 8.03/2.13 % (1703366)Time elapsed: 0.347 s
% 8.03/2.13 % (1703366)Peak memory usage: 12 MB
% 8.03/2.13 % (1703366)Instructions burned: 376 (million)
% 10.63/2.27 % (1703395)Refutation not found, incomplete strategy
% 10.63/2.27 % (1703395)------------------------------
% 10.63/2.27 % (1703395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.63/2.27 % (1703395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.27 % (1703395)CaDiCaL version: 2.1.3
% 10.63/2.27 % (1703395)Termination reason: Refutation not found, incomplete strategy
% 10.63/2.27 % (1703395)Time elapsed: 0.003 s
% 10.63/2.27 % (1703395)Peak memory usage: 11 MB
% 10.63/2.27 % (1703395)Instructions burned: 2 (million)
% 10.63/2.27 % (1703397)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=697214432:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2985 on theBenchmark for (2985ds/281Mi)
% 10.63/2.27 % (1703395)------------------------------
% 10.63/2.27 % (1703395)------------------------------
% 10.63/2.27 % (1703399)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3711077914:i=619:add=on:rtra=on_2985 on theBenchmark for (2985ds/619Mi)
% 10.63/2.27 % (1703399)Refutation not found, incomplete strategy
% 10.63/2.27 % (1703399)------------------------------
% 10.63/2.27 % (1703399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.63/2.27 % (1703399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.27 % (1703399)CaDiCaL version: 2.1.3
% 10.63/2.27 % (1703399)Termination reason: Refutation not found, incomplete strategy
% 10.63/2.27 % (1703399)Time elapsed: 0.003 s
% 10.63/2.27 % (1703399)Peak memory usage: 12 MB
% 10.63/2.27 % (1703399)Instructions burned: 2 (million)
% 10.63/2.27 % (1703399)------------------------------
% 10.63/2.27 % (1703399)------------------------------
% 10.63/2.27 % (1703388)Instruction limit reached!
% 10.63/2.27 % (1703388)------------------------------
% 10.63/2.27 % (1703388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.63/2.27 % (1703388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.27 % (1703388)CaDiCaL version: 2.1.3
% 10.63/2.27 % (1703388)Termination reason: Instruction limit
% 10.63/2.27 % (1703388)Termination phase: Saturation
% 10.63/2.27 % (1703388)Time elapsed: 0.089 s
% 10.63/2.27 % (1703388)Peak memory usage: 12 MB
% 10.63/2.27 % (1703388)Instructions burned: 111 (million)
% 10.63/2.27 % (1703401)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=1836039939:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/865Mi)
% 10.63/2.27 % (1703403)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1067833147:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/212Mi)
% 10.63/2.27 % (1703403)Refutation not found, incomplete strategy
% 10.63/2.27 % (1703403)------------------------------
% 10.63/2.27 % (1703403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.63/2.27 % (1703403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.27 % (1703403)CaDiCaL version: 2.1.3
% 10.63/2.27 % (1703403)Termination reason: Refutation not found, incomplete strategy
% 10.63/2.27 % (1703403)Time elapsed: 0.001 s
% 10.63/2.27 % (1703403)Peak memory usage: 11 MB
% 10.63/2.27 % (1703403)------------------------------
% 10.63/2.27 % (1703403)------------------------------
% 10.63/2.27 % (1703405)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3857616434:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/130Mi)
% 10.63/2.27 % (1703405)Refutation not found, incomplete strategy
% 10.63/2.27 % (1703405)------------------------------
% 10.63/2.27 % (1703405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.63/2.27 % (1703405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.27 % (1703405)CaDiCaL version: 2.1.3
% 10.63/2.27 % (1703405)Termination reason: Refutation not found, incomplete strategy
% 10.63/2.27 % (1703405)Time elapsed: 0.0000 s
% 10.63/2.27 % (1703406)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=53480755:st=1.5:i=346:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/346Mi)
% 10.63/2.27 % (1703405)Peak memory usage: 11 MB
% 10.63/2.27 % (1703405)------------------------------
% 10.63/2.27 % (1703405)------------------------------
% 10.63/2.27 % (1703406)Refutation not found, incomplete strategy
% 10.63/2.27 % (1703406)------------------------------
% 10.63/2.27 % (1703406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.59 % (1703406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.59 % (1703406)CaDiCaL version: 2.1.3
% 11.47/2.59 % (1703406)Termination reason: Refutation not found, incomplete strategy
% 11.47/2.59 % (1703406)Time elapsed: 0.008 s
% 11.47/2.59 % (1703406)Peak memory usage: 11 MB
% 11.47/2.59 % (1703406)Instructions burned: 1 (million)
% 11.47/2.59 % (1703406)------------------------------
% 11.47/2.59 % (1703406)------------------------------
% 11.47/2.59 % (1703409)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1532886815:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/152Mi)
% 11.47/2.59 % (1703413)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=534838923:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/387Mi)
% 11.47/2.59 % (1703413)Refutation not found, incomplete strategy
% 11.47/2.59 % (1703413)------------------------------
% 11.47/2.59 % (1703413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.59 % (1703413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.59 % (1703413)CaDiCaL version: 2.1.3
% 11.47/2.59 % (1703413)Termination reason: Refutation not found, incomplete strategy
% 11.47/2.59 % (1703413)Time elapsed: 0.002 s
% 11.47/2.59 % (1703413)Peak memory usage: 11 MB
% 11.47/2.59 % (1703413)Instructions burned: 1 (million)
% 11.47/2.59 % (1703412)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1714535396:i=75:ep=R:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/75Mi)
% 11.47/2.59 % (1703413)------------------------------
% 11.47/2.59 % (1703413)------------------------------
% 11.47/2.59 % (1703417)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=1206559479:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2983 on theBenchmark for (2983ds/148Mi)
% 11.47/2.59 % (1703409)Instruction limit reached!
% 11.47/2.59 % (1703409)------------------------------
% 11.47/2.59 % (1703409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.59 % (1703409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.59 % (1703409)CaDiCaL version: 2.1.3
% 11.47/2.59 % (1703409)Termination reason: Instruction limit
% 11.47/2.59 % (1703409)Termination phase: Saturation
% 11.47/2.59 % (1703409)Time elapsed: 0.130 s
% 11.47/2.59 % (1703409)Peak memory usage: 12 MB
% 11.47/2.59 % (1703409)Instructions burned: 152 (million)
% 11.47/2.59 % (1703397)Instruction limit reached!
% 11.47/2.59 % (1703397)------------------------------
% 11.47/2.59 % (1703397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.59 % (1703397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.59 % (1703397)CaDiCaL version: 2.1.3
% 11.47/2.59 % (1703397)Termination reason: Instruction limit
% 11.47/2.59 % (1703397)Termination phase: Saturation
% 11.47/2.59 % (1703397)Time elapsed: 0.285 s
% 11.47/2.59 % (1703397)Peak memory usage: 13 MB
% 11.47/2.59 % (1703397)Instructions burned: 281 (million)
% 11.47/2.59 % (1703412)Instruction limit reached!
% 11.47/2.59 % (1703412)------------------------------
% 11.47/2.59 % (1703412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.59 % (1703412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.59 % (1703412)CaDiCaL version: 2.1.3
% 11.47/2.59 % (1703412)Termination reason: Instruction limit
% 11.47/2.59 % (1703412)Termination phase: Saturation
% 11.47/2.59 % (1703412)Time elapsed: 0.119 s
% 11.47/2.59 % (1703412)Peak memory usage: 12 MB
% 11.47/2.59 % (1703412)Instructions burned: 75 (million)
% 11.47/2.59 % (1703420)lrs+10_1_sil=128000:si=on:random_seed=2317137995:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/888Mi)
% 11.47/2.59 % (1703420)Refutation not found, incomplete strategy
% 11.47/2.59 % (1703420)------------------------------
% 11.47/2.59 % (1703420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.59 % (1703420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.59 % (1703420)CaDiCaL version: 2.1.3
% 11.47/2.59 % (1703420)Termination reason: Refutation not found, incomplete strategy
% 11.47/2.59 % (1703420)Time elapsed: 0.0000 s
% 11.47/2.59 % (1703420)Peak memory usage: 11 MB
% 11.47/2.59 % (1703420)------------------------------
% 11.47/2.59 % (1703420)------------------------------
% 11.47/2.59 % (1703419)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3339003746:i=161:piset=and:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/161Mi)
% 12.49/2.86 % (1703421)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=810775944:i=136:add=on:ins=4:rtra=on:sup=off_2982 on theBenchmark for (2982ds/136Mi)
% 12.49/2.86 % (1703423)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=1869231564:i=88:s2at=3:nm=2:rtra=on:rawr=on_2982 on theBenchmark for (2982ds/88Mi)
% 12.49/2.86 % (1703417)Instruction limit reached!
% 12.49/2.86 % (1703417)------------------------------
% 12.49/2.86 % (1703417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.49/2.86 % (1703417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.49/2.86 % (1703417)CaDiCaL version: 2.1.3
% 12.49/2.86 % (1703417)Termination reason: Instruction limit
% 12.49/2.86 % (1703417)Termination phase: Saturation
% 12.49/2.86 % (1703417)Time elapsed: 0.127 s
% 12.49/2.86 % (1703417)Peak memory usage: 12 MB
% 12.49/2.86 % (1703417)Instructions burned: 149 (million)
% 12.49/2.86 % (1703427)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2456666163:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2981 on theBenchmark for (2981ds/93Mi)
% 12.49/2.86 % (1703423)Instruction limit reached!
% 12.49/2.86 % (1703423)------------------------------
% 12.49/2.86 % (1703423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.49/2.86 % (1703423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.49/2.86 % (1703423)CaDiCaL version: 2.1.3
% 12.49/2.86 % (1703423)Termination reason: Instruction limit
% 12.49/2.86 % (1703423)Termination phase: Saturation
% 12.49/2.86 % (1703423)Time elapsed: 0.067 s
% 12.49/2.86 % (1703423)Peak memory usage: 12 MB
% 12.49/2.86 % (1703423)Instructions burned: 89 (million)
% 12.49/2.86 % (1703421)Instruction limit reached!
% 12.49/2.86 % (1703421)------------------------------
% 12.49/2.86 % (1703421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.49/2.86 % (1703421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.49/2.86 % (1703421)CaDiCaL version: 2.1.3
% 12.49/2.86 % (1703421)Termination reason: Instruction limit
% 12.49/2.86 % (1703421)Termination phase: Saturation
% 12.49/2.86 % (1703421)Time elapsed: 0.098 s
% 12.49/2.86 % (1703421)Peak memory usage: 12 MB
% 12.49/2.86 % (1703421)Instructions burned: 137 (million)
% 12.49/2.86 % (1703419)Instruction limit reached!
% 12.49/2.86 % (1703419)------------------------------
% 12.49/2.86 % (1703419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.49/2.86 % (1703419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.49/2.86 % (1703419)CaDiCaL version: 2.1.3
% 12.49/2.86 % (1703419)Termination reason: Instruction limit
% 12.49/2.86 % (1703419)Termination phase: Saturation
% 12.49/2.86 % (1703419)Time elapsed: 0.103 s
% 12.49/2.86 % (1703419)Peak memory usage: 12 MB
% 12.49/2.86 % (1703419)Instructions burned: 162 (million)
% 12.49/2.86 % (1703429)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=947319807:i=2186:rtra=on:ixr=off_2981 on theBenchmark for (2981ds/2186Mi)
% 12.49/2.86 % (1703427)Instruction limit reached!
% 12.49/2.86 % (1703427)------------------------------
% 12.49/2.86 % (1703427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.49/2.86 % (1703427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.49/2.86 % (1703427)CaDiCaL version: 2.1.3
% 12.49/2.86 % (1703427)Termination reason: Instruction limit
% 12.49/2.86 % (1703427)Termination phase: Saturation
% 12.49/2.86 % (1703427)Time elapsed: 0.067 s
% 12.49/2.86 % (1703427)Peak memory usage: 12 MB
% 12.49/2.86 % (1703427)Instructions burned: 93 (million)
% 12.49/2.86 % (1703430)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3613906013:s2a=on:i=240:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/240Mi)
% 12.49/2.86 % (1703431)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2864412330:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2980 on theBenchmark for (2980ds/805Mi)
% 12.49/2.86 % (1703433)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 12.49/2.86 % (1703433)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=766077312:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2980 on theBenchmark for (2980ds/391Mi)
% 14.04/3.06 % (1703433)Refutation not found, incomplete strategy
% 14.04/3.06 % (1703433)------------------------------
% 14.04/3.06 % (1703433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/3.06 % (1703433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/3.06 % (1703433)CaDiCaL version: 2.1.3
% 14.04/3.06 % (1703433)Termination reason: Refutation not found, incomplete strategy
% 14.04/3.06 % (1703433)Time elapsed: 0.002 s
% 14.04/3.06 % (1703433)Peak memory usage: 11 MB
% 14.04/3.06 % (1703433)Instructions burned: 1 (million)
% 14.04/3.06 % (1703433)------------------------------
% 14.04/3.06 % (1703433)------------------------------
% 14.04/3.06 % (1703437)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2191290380:i=355:av=off:fsr=off:rtra=on:ixr=off_2980 on theBenchmark for (2980ds/355Mi)
% 14.04/3.06 % (1703430)Instruction limit reached!
% 14.04/3.06 % (1703430)------------------------------
% 14.04/3.06 % (1703430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/3.06 % (1703430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/3.06 % (1703430)CaDiCaL version: 2.1.3
% 14.04/3.06 % (1703430)Termination reason: Instruction limit
% 14.04/3.06 % (1703430)Termination phase: Saturation
% 14.04/3.06 % (1703430)Time elapsed: 0.099 s
% 14.04/3.06 % (1703430)Peak memory usage: 13 MB
% 14.04/3.06 % (1703430)Instructions burned: 242 (million)
% 14.04/3.06 % (1703439)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=4153169991:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/314Mi)
% 14.04/3.06 % (1703439)Refutation not found, incomplete strategy
% 14.04/3.06 % (1703439)------------------------------
% 14.04/3.06 % (1703439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/3.06 % (1703439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/3.06 % (1703439)CaDiCaL version: 2.1.3
% 14.04/3.06 % (1703439)Termination reason: Refutation not found, incomplete strategy
% 14.04/3.06 % (1703439)Time elapsed: 0.001 s
% 14.04/3.06 % (1703439)Peak memory usage: 11 MB
% 14.04/3.06 % (1703439)------------------------------
% 14.04/3.06 % (1703439)------------------------------
% 14.04/3.06 % (1703441)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2602737406:s2a=on:i=251:fsr=off:rtra=on_2979 on theBenchmark for (2979ds/251Mi)
% 14.04/3.06 % (1703401)Instruction limit reached!
% 14.04/3.06 % (1703401)------------------------------
% 14.04/3.06 % (1703401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/3.06 % (1703401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/3.06 % (1703401)CaDiCaL version: 2.1.3
% 14.04/3.06 % (1703401)Termination reason: Instruction limit
% 14.04/3.06 % (1703401)Termination phase: Saturation
% 14.04/3.06 % (1703401)Time elapsed: 0.550 s
% 14.04/3.06 % (1703401)Peak memory usage: 15 MB
% 14.04/3.06 % (1703401)Instructions burned: 868 (million)
% 14.04/3.06 % (1703443)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=3704524931:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2979 on theBenchmark for (2979ds/2470Mi)
% 14.04/3.06 % (1703383)Instruction limit reached!
% 14.04/3.06 % (1703383)------------------------------
% 14.04/3.06 % (1703383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/3.06 % (1703383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/3.06 % (1703383)CaDiCaL version: 2.1.3
% 14.04/3.06 % (1703383)Termination reason: Instruction limit
% 14.04/3.06 % (1703383)Termination phase: Saturation
% 14.04/3.06 % (1703383)Time elapsed: 0.885 s
% 14.04/3.06 % (1703383)Peak memory usage: 13 MB
% 14.04/3.06 % (1703383)Instructions burned: 1440 (million)
% 14.04/3.06 % (1703445)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2856376766:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2977 on theBenchmark for (2977ds/673Mi)
% 14.04/3.06 % (1703437)Instruction limit reached!
% 14.04/3.06 % (1703437)------------------------------
% 17.47/3.39 % (1703437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.47/3.39 % (1703437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/3.39 % (1703437)CaDiCaL version: 2.1.3
% 17.47/3.39 % (1703437)Termination reason: Instruction limit
% 17.47/3.39 % (1703437)Termination phase: Saturation
% 17.47/3.39 % (1703437)Time elapsed: 0.280 s
% 17.47/3.39 % (1703437)Peak memory usage: 12 MB
% 17.47/3.39 % (1703437)Instructions burned: 355 (million)
% 17.47/3.39 % (1703441)Instruction limit reached!
% 17.47/3.39 % (1703441)------------------------------
% 17.47/3.39 % (1703441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.47/3.39 % (1703441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/3.39 % (1703441)CaDiCaL version: 2.1.3
% 17.47/3.39 % (1703441)Termination reason: Instruction limit
% 17.47/3.39 % (1703441)Termination phase: Saturation
% 17.47/3.39 % (1703441)Time elapsed: 0.198 s
% 17.47/3.39 % (1703441)Peak memory usage: 12 MB
% 17.47/3.39 % (1703441)Instructions burned: 251 (million)
% 17.47/3.39 % (1703448)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2693603197: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)
% 17.47/3.39 % (1703447)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1130281059:i=116:ep=RSTC:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/116Mi)
% 17.47/3.39 % (1703447)Instruction limit reached!
% 17.47/3.39 % (1703447)------------------------------
% 17.47/3.39 % (1703447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.47/3.39 % (1703447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/3.39 % (1703447)CaDiCaL version: 2.1.3
% 17.47/3.39 % (1703447)Termination reason: Instruction limit
% 17.47/3.39 % (1703447)Termination phase: Saturation
% 17.47/3.39 % (1703447)Time elapsed: 0.082 s
% 17.47/3.39 % (1703447)Peak memory usage: 12 MB
% 17.47/3.39 % (1703447)Instructions burned: 117 (million)
% 17.47/3.39 % (1703451)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=159783404: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_2975 on theBenchmark for (2975ds/30Mi)
% 17.47/3.39 % (1703451)Instruction limit reached!
% 17.47/3.39 % (1703451)------------------------------
% 17.47/3.39 % (1703451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.47/3.39 % (1703451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/3.39 % (1703451)CaDiCaL version: 2.1.3
% 17.47/3.39 % (1703451)Termination reason: Instruction limit
% 17.47/3.39 % (1703451)Termination phase: Saturation
% 17.47/3.39 % (1703451)Time elapsed: 0.014 s
% 17.47/3.39 % (1703451)Peak memory usage: 12 MB
% 17.47/3.39 % (1703451)Instructions burned: 30 (million)
% 17.47/3.39 % (1703453)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 17.47/3.39 % (1703453)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=418448090:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2975 on theBenchmark for (2975ds/39Mi)
% 17.47/3.39 % (1703431)Instruction limit reached!
% 17.47/3.39 % (1703431)------------------------------
% 17.47/3.39 % (1703431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.47/3.39 % (1703431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/3.39 % (1703431)CaDiCaL version: 2.1.3
% 17.47/3.39 % (1703431)Termination reason: Instruction limit
% 17.47/3.39 % (1703431)Termination phase: Saturation
% 17.47/3.39 % (1703431)Time elapsed: 0.575 s
% 17.47/3.39 % (1703431)Peak memory usage: 13 MB
% 17.47/3.39 % (1703431)Instructions burned: 805 (million)
% 17.47/3.39 % (1703448)Instruction limit reached!
% 17.47/3.39 % (1703448)------------------------------
% 17.47/3.39 % (1703448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.47/3.39 % (1703448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/3.39 % (1703448)CaDiCaL version: 2.1.3
% 17.47/3.39 % (1703448)Termination reason: Instruction limit
% 17.47/3.39 % (1703448)Termination phase: Saturation
% 17.47/3.39 % (1703448)Time elapsed: 0.191 s
% 17.47/3.39 % (1703448)Peak memory usage: 12 MB
% 17.47/3.39 % (1703448)Instructions burned: 271 (million)
% 17.47/3.39 % (1703453)Instruction limit reached!
% 18.31/3.56 % (1703453)------------------------------
% 18.31/3.56 % (1703453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.31/3.56 % (1703453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.31/3.56 % (1703453)CaDiCaL version: 2.1.3
% 18.31/3.56 % (1703453)Termination reason: Instruction limit
% 18.31/3.56 % (1703453)Termination phase: Saturation
% 18.31/3.56 % (1703453)Time elapsed: 0.041 s
% 18.31/3.56 % (1703453)Peak memory usage: 12 MB
% 18.31/3.56 % (1703453)Instructions burned: 40 (million)
% 18.31/3.56 % (1703456)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4089531568:i=158:av=off:rtra=on_2974 on theBenchmark for (2974ds/158Mi)
% 18.31/3.56 % (1703455)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=568443274:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/365Mi)
% 18.31/3.56 % (1703458)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
% 18.31/3.56 % (1703458)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=3909813701:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/252Mi)
% 18.31/3.56 % (1703456)Instruction limit reached!
% 18.31/3.56 % (1703456)------------------------------
% 18.31/3.56 % (1703456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.31/3.56 % (1703456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.31/3.56 % (1703456)CaDiCaL version: 2.1.3
% 18.31/3.56 % (1703456)Termination reason: Instruction limit
% 18.31/3.56 % (1703456)Termination phase: Saturation
% 18.31/3.56 % (1703456)Time elapsed: 0.100 s
% 18.31/3.56 % (1703456)Peak memory usage: 12 MB
% 18.31/3.56 % (1703456)Instructions burned: 158 (million)
% 18.31/3.56 % (1703445)Instruction limit reached!
% 18.31/3.56 % (1703445)------------------------------
% 18.31/3.56 % (1703445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.31/3.56 % (1703445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.31/3.56 % (1703445)CaDiCaL version: 2.1.3
% 18.31/3.56 % (1703445)Termination reason: Instruction limit
% 18.31/3.56 % (1703445)Termination phase: Saturation
% 18.31/3.56 % (1703445)Time elapsed: 0.404 s
% 18.31/3.56 % (1703445)Peak memory usage: 13 MB
% 18.31/3.56 % (1703445)Instructions burned: 677 (million)
% 18.31/3.56 % (1703461)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=1667091576:i=213:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/213Mi)
% 18.31/3.56 % (1703461)Refutation not found, incomplete strategy
% 18.31/3.56 % (1703461)------------------------------
% 18.31/3.56 % (1703461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.31/3.56 % (1703461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.31/3.56 % (1703461)CaDiCaL version: 2.1.3
% 18.31/3.56 % (1703461)Termination reason: Refutation not found, incomplete strategy
% 18.31/3.56 % (1703461)Time elapsed: 0.001 s
% 18.31/3.56 % (1703461)Peak memory usage: 12 MB
% 18.31/3.56 % (1703461)------------------------------
% 18.31/3.56 % (1703461)------------------------------
% 18.31/3.56 % (1703462)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=1787972076:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/160Mi)
% 18.31/3.56 % (1703462)Refutation not found, incomplete strategy
% 18.31/3.56 % (1703462)------------------------------
% 18.31/3.56 % (1703462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.31/3.56 % (1703462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.31/3.56 % (1703462)CaDiCaL version: 2.1.3
% 18.31/3.56 % (1703462)Termination reason: Refutation not found, incomplete strategy
% 18.31/3.56 % (1703462)Time elapsed: 0.001 s
% 18.31/3.56 % (1703462)Peak memory usage: 11 MB
% 18.31/3.56 % (1703462)------------------------------
% 18.31/3.56 % (1703462)------------------------------
% 18.31/3.56 % (1703464)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1409289879:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/763Mi)
% 18.31/3.56 % (1703466)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 19.12/3.69 % (1703466)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=1355662405: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)
% 19.12/3.69 % (1703466)Refutation not found, incomplete strategy
% 19.12/3.69 % (1703466)------------------------------
% 19.12/3.69 % (1703466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/3.69 % (1703466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.69 % (1703466)CaDiCaL version: 2.1.3
% 19.12/3.69 % (1703466)Termination reason: Refutation not found, incomplete strategy
% 19.12/3.69 % (1703466)Time elapsed: 0.0000 s
% 19.12/3.69 % (1703466)Peak memory usage: 11 MB
% 19.12/3.69 % (1703466)------------------------------
% 19.12/3.69 % (1703466)------------------------------
% 19.12/3.69 % (1703458)Instruction limit reached!
% 19.12/3.69 % (1703458)------------------------------
% 19.12/3.69 % (1703458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/3.69 % (1703458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.69 % (1703458)CaDiCaL version: 2.1.3
% 19.12/3.69 % (1703458)Termination reason: Instruction limit
% 19.12/3.69 % (1703458)Termination phase: Saturation
% 19.12/3.69 % (1703458)Time elapsed: 0.175 s
% 19.12/3.69 % (1703458)Peak memory usage: 12 MB
% 19.12/3.69 % (1703458)Instructions burned: 258 (million)
% 19.12/3.69 % (1703455)Instruction limit reached!
% 19.12/3.69 % (1703455)------------------------------
% 19.12/3.69 % (1703455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/3.69 % (1703455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.69 % (1703455)CaDiCaL version: 2.1.3
% 19.12/3.69 % (1703455)Termination reason: Instruction limit
% 19.12/3.69 % (1703455)Termination phase: Saturation
% 19.12/3.69 % (1703455)Time elapsed: 0.234 s
% 19.12/3.69 % (1703455)Peak memory usage: 13 MB
% 19.12/3.69 % (1703455)Instructions burned: 367 (million)
% 19.12/3.69 % (1703469)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3940920628:s2a=on:i=386:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/386Mi)
% 19.12/3.69 % (1703470)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1636485165:i=300:piset=and:nm=32:rtra=on_2972 on theBenchmark for (2972ds/300Mi)
% 19.12/3.69 % (1703471)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=694189738:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/567Mi)
% 19.12/3.69 % (1703471)Refutation not found, incomplete strategy
% 19.12/3.69 % (1703471)------------------------------
% 19.12/3.69 % (1703471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/3.69 % (1703471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.69 % (1703471)CaDiCaL version: 2.1.3
% 19.12/3.69 % (1703471)Termination reason: Refutation not found, incomplete strategy
% 19.12/3.69 % (1703471)Time elapsed: 0.011 s
% 19.12/3.69 % (1703471)Peak memory usage: 11 MB
% 19.12/3.69 % (1703471)Instructions burned: 1 (million)
% 19.12/3.69 % (1703471)------------------------------
% 19.12/3.69 % (1703471)------------------------------
% 19.12/3.69 % (1703475)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=203264059:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2971 on theBenchmark for (2971ds/379Mi)
% 19.12/3.69 % (1703475)Refutation not found, incomplete strategy
% 19.12/3.69 % (1703475)------------------------------
% 19.12/3.69 % (1703475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.12/3.69 % (1703475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.12/3.69 % (1703475)CaDiCaL version: 2.1.3
% 19.12/3.69 % (1703475)Termination reason: Refutation not found, incomplete strategy
% 19.12/3.69 % (1703475)Time elapsed: 0.001 s
% 19.12/3.69 % (1703475)Peak memory usage: 11 MB
% 19.12/3.69 % (1703475)------------------------------
% 19.12/3.69 % (1703475)------------------------------
% 19.12/3.69 % (1703477)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1237940640:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2970 on theBenchmark for (2970ds/429Mi)
% 19.12/3.69 % (1703470)Instruction limit reached!
% 19.12/3.69 % (1703470)------------------------------
% 19.12/3.69 % (1703470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.59/3.80 % (1703470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.59/3.80 % (1703470)CaDiCaL version: 2.1.3
% 19.59/3.80 % (1703470)Termination reason: Instruction limit
% 19.59/3.80 % (1703470)Termination phase: Saturation
% 19.59/3.80 % (1703470)Time elapsed: 0.266 s
% 19.59/3.80 % (1703470)Peak memory usage: 12 MB
% 19.59/3.80 % (1703470)Instructions burned: 300 (million)
% 19.59/3.80 % (1703479)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1581837817:i=478:bd=all:rtra=on_2969 on theBenchmark for (2969ds/478Mi)
% 19.59/3.80 % (1703479)Refutation not found, incomplete strategy
% 19.59/3.80 % (1703479)------------------------------
% 19.59/3.80 % (1703479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.59/3.80 % (1703479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.59/3.80 % (1703479)CaDiCaL version: 2.1.3
% 19.59/3.80 % (1703479)Termination reason: Refutation not found, incomplete strategy
% 19.59/3.80 % (1703479)Time elapsed: 0.001 s
% 19.59/3.80 % (1703479)Peak memory usage: 12 MB
% 19.59/3.80 % (1703479)Instructions burned: 1 (million)
% 19.59/3.80 % (1703479)------------------------------
% 19.59/3.80 % (1703479)------------------------------
% 19.59/3.80 % (1703481)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2749608372:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2968 on theBenchmark for (2968ds/445Mi)
% 19.59/3.80 % (1703477)Instruction limit reached!
% 19.59/3.80 % (1703477)------------------------------
% 19.59/3.80 % (1703477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.59/3.80 % (1703477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.59/3.80 % (1703477)CaDiCaL version: 2.1.3
% 19.59/3.80 % (1703477)Termination reason: Instruction limit
% 19.59/3.80 % (1703477)Termination phase: Saturation
% 19.59/3.80 % (1703477)Time elapsed: 0.209 s
% 19.59/3.80 % (1703477)Peak memory usage: 12 MB
% 19.59/3.80 % (1703477)Instructions burned: 429 (million)
% 19.59/3.80 % (1703469)Instruction limit reached!
% 19.59/3.80 % (1703469)------------------------------
% 19.59/3.80 % (1703469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.59/3.80 % (1703469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.59/3.80 % (1703469)CaDiCaL version: 2.1.3
% 19.59/3.80 % (1703469)Termination reason: Instruction limit
% 19.59/3.80 % (1703469)Termination phase: Saturation
% 19.59/3.80 % (1703469)Time elapsed: 0.373 s
% 19.59/3.80 % (1703469)Peak memory usage: 12 MB
% 19.59/3.80 % (1703469)Instructions burned: 386 (million)
% 19.59/3.80 % (1703483)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2530968343:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2968 on theBenchmark for (2968ds/71Mi)
% 19.59/3.80 % (1703464)Instruction limit reached!
% 19.59/3.80 % (1703464)------------------------------
% 19.59/3.80 % (1703464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.59/3.80 % (1703464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.59/3.80 % (1703464)CaDiCaL version: 2.1.3
% 19.59/3.80 % (1703464)Termination reason: Instruction limit
% 19.59/3.80 % (1703464)Termination phase: Saturation
% 19.59/3.80 % (1703464)Time elapsed: 0.449 s
% 19.59/3.80 % (1703464)Peak memory usage: 13 MB
% 19.59/3.80 % (1703464)Instructions burned: 763 (million)
% 19.81/3.80 % (1703484)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3532775691:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/302Mi)
% 19.81/3.80 % (1703484)Refutation not found, incomplete strategy
% 19.81/3.80 % (1703484)------------------------------
% 19.81/3.80 % (1703484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.80 % (1703484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.80 % (1703484)CaDiCaL version: 2.1.3
% 19.81/3.80 % (1703484)Termination reason: Refutation not found, incomplete strategy
% 19.81/3.80 % (1703484)Time elapsed: 0.005 s
% 19.81/3.80 % (1703484)Peak memory usage: 11 MB
% 19.81/3.80 % (1703484)------------------------------
% 19.81/3.80 % (1703484)------------------------------
% 19.81/3.80 % (1703486)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=306017697:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2968 on theBenchmark for (2968ds/4980Mi)
% 19.81/3.80 % (1703486)Refutation not found, incomplete strategy
% 19.81/3.80 % (1703486)------------------------------
% 19.81/3.80 % (1703486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/4.02 % (1703486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/4.02 % (1703486)CaDiCaL version: 2.1.3
% 20.55/4.02 % (1703486)Termination reason: Refutation not found, incomplete strategy
% 20.55/4.02 % (1703486)Time elapsed: 0.001 s
% 20.55/4.02 % (1703486)Peak memory usage: 11 MB
% 20.55/4.02 % (1703486)------------------------------
% 20.55/4.02 % (1703486)------------------------------
% 20.55/4.02 % (1703488)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
% 20.55/4.02 % (1703488)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 20.55/4.02 % (1703488)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2502831291:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2967 on theBenchmark for (2967ds/100Mi)
% 20.55/4.02 % (1703490)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=3501437600:i=76:piset=equals:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/76Mi)
% 20.55/4.02 % (1703483)Instruction limit reached!
% 20.55/4.02 % (1703483)------------------------------
% 20.55/4.02 % (1703483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/4.02 % (1703483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/4.02 % (1703483)CaDiCaL version: 2.1.3
% 20.55/4.02 % (1703483)Termination reason: Instruction limit
% 20.55/4.02 % (1703483)Termination phase: Saturation
% 20.55/4.02 % (1703483)Time elapsed: 0.100 s
% 20.55/4.02 % (1703483)Peak memory usage: 12 MB
% 20.55/4.02 % (1703483)Instructions burned: 72 (million)
% 20.55/4.02 % (1703490)Instruction limit reached!
% 20.55/4.02 % (1703490)------------------------------
% 20.55/4.02 % (1703490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/4.02 % (1703490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/4.02 % (1703490)CaDiCaL version: 2.1.3
% 20.55/4.02 % (1703490)Termination reason: Instruction limit
% 20.55/4.02 % (1703490)Termination phase: Saturation
% 20.55/4.02 % (1703490)Time elapsed: 0.033 s
% 20.55/4.02 % (1703490)Peak memory usage: 12 MB
% 20.55/4.02 % (1703490)Instructions burned: 77 (million)
% 20.55/4.02 % (1703429)Instruction limit reached!
% 20.55/4.02 % (1703429)------------------------------
% 20.55/4.02 % (1703429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/4.02 % (1703429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/4.02 % (1703429)CaDiCaL version: 2.1.3
% 20.55/4.02 % (1703429)Termination reason: Instruction limit
% 20.55/4.02 % (1703429)Termination phase: Saturation
% 20.55/4.02 % (1703429)Time elapsed: 1.407 s
% 20.55/4.02 % (1703429)Peak memory usage: 13 MB
% 20.55/4.02 % (1703429)Instructions burned: 2187 (million)
% 20.55/4.02 % (1703493)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=993498719:i=289:rtra=on_2967 on theBenchmark for (2967ds/289Mi)
% 20.55/4.02 % (1703493)Refutation not found, incomplete strategy
% 20.55/4.02 % (1703493)------------------------------
% 20.55/4.02 % (1703493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/4.02 % (1703493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/4.02 % (1703493)CaDiCaL version: 2.1.3
% 20.55/4.02 % (1703493)Termination reason: Refutation not found, incomplete strategy
% 20.55/4.02 % (1703493)Time elapsed: 0.001 s
% 20.55/4.02 % (1703493)Peak memory usage: 11 MB
% 20.55/4.02 % (1703493)Instructions burned: 1 (million)
% 20.55/4.02 % (1703493)------------------------------
% 20.55/4.02 % (1703493)------------------------------
% 20.55/4.02 % (1703488)Instruction limit reached!
% 20.55/4.02 % (1703488)------------------------------
% 20.55/4.02 % (1703488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/4.02 % (1703488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/4.02 % (1703488)CaDiCaL version: 2.1.3
% 20.55/4.02 % (1703488)Termination reason: Instruction limit
% 20.55/4.02 % (1703488)Termination phase: Saturation
% 20.55/4.02 % (1703488)Time elapsed: 0.098 s
% 20.55/4.02 % (1703488)Peak memory usage: 12 MB
% 20.55/4.02 % (1703488)Instructions burned: 102 (million)
% 20.55/4.02 % (1703494)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=841759874:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2966 on theBenchmark for (2966ds/493Mi)
% 21.36/4.11 % (1703495)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=2791191875:cond=on:i=34:hud=10:nm=10:rtra=on_2966 on theBenchmark for (2966ds/34Mi)
% 21.36/4.11 % (1703497)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 21.36/4.11 % (1703497)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=4159532483:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2966 on theBenchmark for (2966ds/372Mi)
% 21.36/4.11 % (1703497)Refutation not found, incomplete strategy
% 21.36/4.11 % (1703497)------------------------------
% 21.36/4.11 % (1703497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/4.11 % (1703497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/4.11 % (1703497)CaDiCaL version: 2.1.3
% 21.36/4.11 % (1703497)Termination reason: Refutation not found, incomplete strategy
% 21.36/4.11 % (1703497)Time elapsed: 0.001 s
% 21.36/4.11 % (1703497)Peak memory usage: 11 MB
% 21.36/4.11 % (1703497)Instructions burned: 2 (million)
% 21.36/4.11 % (1703497)------------------------------
% 21.36/4.11 % (1703497)------------------------------
% 21.36/4.11 % (1703495)Instruction limit reached!
% 21.36/4.11 % (1703495)------------------------------
% 21.36/4.11 % (1703495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/4.11 % (1703495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/4.11 % (1703495)CaDiCaL version: 2.1.3
% 21.36/4.11 % (1703495)Termination reason: Instruction limit
% 21.36/4.11 % (1703495)Termination phase: Saturation
% 21.36/4.11 % (1703495)Time elapsed: 0.016 s
% 21.36/4.11 % (1703495)Peak memory usage: 12 MB
% 21.36/4.11 % (1703495)Instructions burned: 35 (million)
% 21.36/4.11 % (1703498)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=4242402060:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2966 on theBenchmark for (2966ds/670Mi)
% 21.36/4.11 % (1703443)Instruction limit reached!
% 21.36/4.11 % (1703443)------------------------------
% 21.36/4.11 % (1703443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/4.11 % (1703443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/4.11 % (1703443)CaDiCaL version: 2.1.3
% 21.36/4.11 % (1703443)Termination reason: Instruction limit
% 21.36/4.11 % (1703443)Termination phase: Saturation
% 21.36/4.11 % (1703443)Time elapsed: 1.305 s
% 21.36/4.11 % (1703443)Peak memory usage: 18 MB
% 21.36/4.11 % (1703443)Instructions burned: 2470 (million)
% 21.36/4.11 % (1703502)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3555974841:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2966 on theBenchmark for (2966ds/647Mi)
% 21.36/4.11 % (1703502)Refutation not found, incomplete strategy
% 21.36/4.11 % (1703502)------------------------------
% 21.36/4.11 % (1703502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.36/4.11 % (1703502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/4.11 % (1703502)CaDiCaL version: 2.1.3
% 21.36/4.11 % (1703502)Termination reason: Refutation not found, incomplete strategy
% 21.36/4.11 % (1703502)Time elapsed: 0.001 s
% 21.36/4.11 % (1703502)Peak memory usage: 12 MB
% 21.36/4.11 % (1703502)------------------------------
% 21.36/4.11 % (1703502)------------------------------
% 21.36/4.11 % (1703503)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=817665081:i=857:add=off:kws=frequency:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/857Mi)
% 21.36/4.11 % (1703505)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=2195586306:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2965 on theBenchmark for (2965ds/693Mi)
% 21.36/4.11 % (1703507)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3160044770:i=285:hud=10:bd=all:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/285Mi)
% 23.37/4.33 % (1703507)Refutation not found, incomplete strategy
% 23.37/4.33 % (1703507)------------------------------
% 23.37/4.33 % (1703507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.37/4.33 % (1703507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.33 % (1703507)CaDiCaL version: 2.1.3
% 23.37/4.33 % (1703507)Termination reason: Refutation not found, incomplete strategy
% 23.37/4.33 % (1703507)Time elapsed: 0.002 s
% 23.37/4.33 % (1703507)Peak memory usage: 11 MB
% 23.37/4.33 % (1703507)Instructions burned: 1 (million)
% 23.37/4.33 % (1703507)------------------------------
% 23.37/4.33 % (1703507)------------------------------
% 23.37/4.33 % (1703481)Instruction limit reached!
% 23.37/4.33 % (1703481)------------------------------
% 23.37/4.33 % (1703481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.37/4.33 % (1703481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.33 % (1703481)CaDiCaL version: 2.1.3
% 23.37/4.33 % (1703481)Termination reason: Instruction limit
% 23.37/4.33 % (1703481)Termination phase: Saturation
% 23.37/4.33 % (1703481)Time elapsed: 0.370 s
% 23.37/4.33 % (1703481)Peak memory usage: 14 MB
% 23.37/4.33 % (1703481)Instructions burned: 445 (million)
% 23.37/4.33 % (1703511)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 23.37/4.33 % (1703511)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=3344393218: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)
% 23.37/4.33 % (1703512)dis+10_1_si=on:random_seed=908727478:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2964 on theBenchmark for (2964ds/407Mi)
% 23.37/4.33 % (1703512)Refutation not found, incomplete strategy
% 23.37/4.33 % (1703512)------------------------------
% 23.37/4.33 % (1703512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.37/4.33 % (1703512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.33 % (1703512)CaDiCaL version: 2.1.3
% 23.37/4.33 % (1703512)Termination reason: Refutation not found, incomplete strategy
% 23.37/4.33 % (1703512)Time elapsed: 0.005 s
% 23.37/4.33 % (1703512)Peak memory usage: 11 MB
% 23.37/4.33 % (1703512)------------------------------
% 23.37/4.33 % (1703512)------------------------------
% 23.37/4.33 % (1703511)Instruction limit reached!
% 23.37/4.33 % (1703511)------------------------------
% 23.37/4.33 % (1703511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.37/4.33 % (1703511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.33 % (1703511)CaDiCaL version: 2.1.3
% 23.37/4.33 % (1703511)Termination reason: Instruction limit
% 23.37/4.33 % (1703511)Termination phase: Saturation
% 23.37/4.33 % (1703511)Time elapsed: 0.069 s
% 23.37/4.33 % (1703511)Peak memory usage: 12 MB
% 23.37/4.33 % (1703511)Instructions burned: 55 (million)
% 23.37/4.33 % (1703515)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=4216006068:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/2240Mi)
% 23.37/4.33 % (1703516)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3553009659:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2964 on theBenchmark for (2964ds/336Mi)
% 23.37/4.33 % (1703516)Refutation not found, incomplete strategy
% 23.37/4.33 % (1703516)------------------------------
% 23.37/4.33 % (1703516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.37/4.33 % (1703516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.33 % (1703516)CaDiCaL version: 2.1.3
% 23.37/4.33 % (1703516)Termination reason: Refutation not found, incomplete strategy
% 23.37/4.33 % (1703516)Time elapsed: 0.001 s
% 23.37/4.33 % (1703516)Peak memory usage: 11 MB
% 23.37/4.33 % (1703516)------------------------------
% 23.37/4.33 % (1703516)------------------------------
% 23.37/4.33 % (1703519)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=1859150833:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2963 on theBenchmark for (2963ds/1142Mi)
% 23.37/4.33 % (1703505)Instruction limit reached!
% 23.37/4.33 % (1703505)------------------------------
% 23.37/4.33 % (1703505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.37/4.33 % (1703505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/4.64 % (1703505)CaDiCaL version: 2.1.3
% 25.45/4.64 % (1703505)Termination reason: Instruction limit
% 25.45/4.64 % (1703505)Termination phase: Saturation
% 25.45/4.64 % (1703505)Time elapsed: 0.246 s
% 25.45/4.64 % (1703505)Peak memory usage: 13 MB
% 25.45/4.64 % (1703505)Instructions burned: 695 (million)
% 25.45/4.64 % (1703521)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=506125019:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2963 on theBenchmark for (2963ds/376Mi)
% 25.45/4.64 % (1703521)Refutation not found, incomplete strategy
% 25.45/4.64 % (1703521)------------------------------
% 25.45/4.64 % (1703521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.45/4.64 % (1703521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/4.64 % (1703521)CaDiCaL version: 2.1.3
% 25.45/4.64 % (1703521)Termination reason: Refutation not found, incomplete strategy
% 25.45/4.64 % (1703521)Time elapsed: 0.0000 s
% 25.45/4.64 % (1703521)Peak memory usage: 11 MB
% 25.45/4.64 % (1703521)------------------------------
% 25.45/4.64 % (1703521)------------------------------
% 25.45/4.64 % (1703523)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3411352182:i=766:bd=all:rtra=on_2962 on theBenchmark for (2962ds/766Mi)
% 25.45/4.64 % (1703523)Refutation not found, incomplete strategy
% 25.45/4.64 % (1703523)------------------------------
% 25.45/4.64 % (1703523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.45/4.64 % (1703523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/4.64 % (1703523)CaDiCaL version: 2.1.3
% 25.45/4.64 % (1703523)Termination reason: Refutation not found, incomplete strategy
% 25.45/4.64 % (1703523)Time elapsed: 0.001 s
% 25.45/4.64 % (1703523)Peak memory usage: 12 MB
% 25.45/4.64 % (1703523)Instructions burned: 1 (million)
% 25.45/4.64 % (1703523)------------------------------
% 25.45/4.64 % (1703523)------------------------------
% 25.45/4.64 % (1703525)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 25.45/4.64 % (1703525)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=267912208: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_2962 on theBenchmark for (2962ds/959Mi)
% 25.45/4.64 % (1703525)Refutation not found, incomplete strategy
% 25.45/4.64 % (1703525)------------------------------
% 25.45/4.64 % (1703525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.45/4.64 % (1703525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/4.64 % (1703525)CaDiCaL version: 2.1.3
% 25.45/4.64 % (1703525)Termination reason: Refutation not found, incomplete strategy
% 25.45/4.64 % (1703525)Time elapsed: 0.0000 s
% 25.45/4.64 % (1703525)Peak memory usage: 11 MB
% 25.45/4.64 % (1703494)Instruction limit reached!
% 25.45/4.64 % (1703494)------------------------------
% 25.45/4.64 % (1703494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.45/4.64 % (1703494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/4.64 % (1703494)CaDiCaL version: 2.1.3
% 25.45/4.64 % (1703494)Termination reason: Instruction limit
% 25.45/4.64 % (1703494)Termination phase: Saturation
% 25.45/4.64 % (1703494)Time elapsed: 0.380 s
% 25.45/4.64 % (1703494)Peak memory usage: 13 MB
% 25.45/4.64 % (1703494)Instructions burned: 493 (million)
% 25.45/4.64 % (1703525)------------------------------
% 25.45/4.64 % (1703525)------------------------------
% 25.45/4.64 % (1703527)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=7703269:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2962 on theBenchmark for (2962ds/6359Mi)
% 25.45/4.64 % (1703528)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=472875321:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2962 on theBenchmark for (2962ds/35Mi)
% 25.45/4.64 % (1703528)Refutation not found, incomplete strategy
% 25.45/4.64 % (1703528)------------------------------
% 25.45/4.64 % (1703528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.45/4.64 % (1703528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/4.64 % (1703528)CaDiCaL version: 2.1.3
% 25.45/4.64 % (1703528)Termination reason: Refutation not found, incomplete strategy
% 25.45/4.64 % (1703528)Time elapsed: 0.001 s
% 25.45/4.64 % (1703528)Peak memory usage: 11 MB
% 25.45/4.64 % (1703528)------------------------------
% 25.45/4.64 % (1703528)------------------------------
% 25.45/4.64 % (1703531)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=434609861:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2962 on theBenchmark for (2962ds/53Mi)
% 25.45/4.64 % (1703498)Instruction limit reached!
% 25.45/4.64 % (1703498)------------------------------
% 25.45/4.64 % (1703498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.45/4.64 % (1703498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/4.64 % (1703498)CaDiCaL version: 2.1.3
% 25.45/4.64 % (1703498)Termination reason: Instruction limit
% 25.45/4.64 % (1703498)Termination phase: Saturation
% 25.45/4.64 % (1703498)Time elapsed: 0.461 s
% 25.45/4.64 % (1703498)Peak memory usage: 12 MB
% 25.45/4.64 % (1703498)Instructions burned: 671 (million)
% 25.45/4.64 % (1703531)Instruction limit reached!
% 25.45/4.64 % (1703531)------------------------------
% 25.45/4.64 % (1703531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.45/4.64 % (1703531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/4.64 % (1703531)CaDiCaL version: 2.1.3
% 25.45/4.64 % (1703531)Termination reason: Instruction limit
% 25.45/4.64 % (1703531)Termination phase: Saturation
% 25.45/4.64 % (1703531)Time elapsed: 0.065 s
% 25.45/4.64 % (1703531)Peak memory usage: 12 MB
% 25.45/4.64 % (1703531)Instructions burned: 54 (million)
% 25.45/4.64 % (1703533)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=113115703:s2a=on:i=876:s2at=6:nm=2:rtra=on_2961 on theBenchmark for (2961ds/876Mi)
% 25.45/4.64 % (1703534)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1269464499:i=57:ep=R:rtra=on:ntd=on_2961 on theBenchmark for (2961ds/57Mi)
% 25.45/4.64 % (1703534)Instruction limit reached!
% 25.45/4.64 % (1703534)------------------------------
% 25.45/4.64 % (1703534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.45/4.64 % (1703534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/4.64 % (1703534)CaDiCaL version: 2.1.3
% 25.45/4.64 % (1703534)Termination reason: Instruction limit
% 25.45/4.64 % (1703534)Termination phase: Saturation
% 25.45/4.64 % (1703534)Time elapsed: 0.034 s
% 25.45/4.64 % (1703534)Peak memory usage: 12 MB
% 25.45/4.64 % (1703534)Instructions burned: 58 (million)
% 25.45/4.64 % (1703537)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 25.45/4.64 % (1703537)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1179228461:i=306:bd=all:rtra=on_2960 on theBenchmark for (2960ds/306Mi)
% 25.45/4.64 % (1703537)Refutation not found, incomplete strategy
% 25.45/4.64 % (1703537)------------------------------
% 25.45/4.64 % (1703537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.45/4.64 % (1703537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/4.64 % (1703537)CaDiCaL version: 2.1.3
% 25.45/4.64 % (1703537)Termination reason: Refutation not found, incomplete strategy
% 25.45/4.64 % (1703537)Time elapsed: 0.002 s
% 25.45/4.64 % (1703537)Peak memory usage: 11 MB
% 25.45/4.64 % (1703537)Instructions burned: 1 (million)
% 25.45/4.64 % (1703537)------------------------------
% 25.45/4.64 % (1703537)------------------------------
% 25.45/4.64 % (1703503)Instruction limit reached!
% 25.45/4.64 % (1703503)------------------------------
% 25.45/4.64 % (1703503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.45/4.64 % (1703503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/4.64 % (1703503)CaDiCaL version: 2.1.3
% 25.45/4.64 % (1703503)Termination reason: Instruction limit
% 25.45/4.64 % (1703503)Termination phase: Saturation
% 25.45/4.64 % (1703503)Time elapsed: 0.573 s
% 25.45/4.64 % (1703503)Peak memory usage: 12 MB
% 25.45/4.64 % (1703503)Instructions burned: 857 (million)
% 25.45/4.64 % (1703539)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2520913192:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/262Mi)
% 25.45/4.64 % (1703539)Refutation not found, incomplete strategy
% 25.45/4.64 % (1703539)------------------------------
% 25.45/4.64 % (1703539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.45/4.64 % (1703539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/4.64 % (1703539)CaDiCaL version: 2.1.3
% 25.45/4.64 % (1703539)Termination reason: Refutation not found, incomplete strategy
% 25.45/4.64 % (1703539)Time elapsed: 0.001 s
% 25.45/4.64 % (1703539)Peak memory usage: 11 MB
% 25.45/4.64 % (1703539)------------------------------
% 25.45/4.64 % (1703539)------------------------------
% 25.45/4.64 % (1703540)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 25.45/4.64 % (1703540)ott+1002_16_sil=128000:si=on:random_seed=2726546379:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2959 on theBenchmark for (2959ds/409Mi)
% 25.45/4.64 % (1703542)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=522106986:s2a=on:i=381:rtra=on_2959 on theBenchmark for (2959ds/381Mi)
% 25.45/4.64 % (1703542)Instruction limit reached!
% 25.45/4.64 % (1703542)------------------------------
% 25.45/4.64 % (1703542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.45/4.64 % (1703542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/4.64 % (1703542)CaDiCaL version: 2.1.3
% 25.45/4.64 % (1703542)Termination reason: Instruction limit
% 25.45/4.64 % (1703542)Termination phase: Saturation
% 25.45/4.64 % (1703542)Time elapsed: 0.191 s
% 25.45/4.64 % (1703542)Peak memory usage: 12 MB
% 25.45/4.64 % (1703542)Instructions burned: 381 (million)
% 25.45/4.64 % (1703545)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1064250703:cond=on:i=324:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/324Mi)
% 25.45/4.64 % (1703527) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1703206-1703527"...
% 25.45/4.64 % (1703527)...printing done.
% 25.45/4.64 % (1703527)Refutation found. Thanks to Tanya!
% 25.45/4.64 % SZS status Unsatisfiable for theBenchmark
% 25.45/4.64 % SZS output start Proof for theBenchmark
% See solution above
% 25.45/4.66 % (1703527)------------------------------
% 25.45/4.66 % (1703527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.45/4.66 % (1703527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.45/4.66 % (1703527)CaDiCaL version: 2.1.3
% 25.45/4.66 % (1703527)Termination reason: Refutation
% 25.45/4.66 % (1703527)Time elapsed: 0.538 s
% 25.45/4.66 % (1703527)Peak memory usage: 16 MB
% 25.45/4.66 % (1703527)Instructions burned: 1230 (million)
% 25.45/4.66 % (1703206)Success in time 4.321 s
% 25.45/4.66 % Vampire exiting
%------------------------------------------------------------------------------