%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA145^1 : 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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:58:30 AM UTC 2026
% Result : Unsatisfiable 28.70s 4.46s
% Output : Refutation 29.90s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( r @ X0 @ X1 )
| ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X1: $i,X2: $i,X0: $i,X3: $i] :
( ~ ( r @ X0 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X1 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X4: $i,X1: $i,X2: $i,X0: $i,X3: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f9,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X2 @ X1 )
| ~ ( r @ X2 @ X0 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X0 @ X1 ) ),
inference(rectify,[],[f6]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f13,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X3 @ X2 )
| ~ ( b @ X4 @ X0 )
| ~ ( b @ X3 @ X0 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X3 @ X1 ) ),
inference(rectify,[],[f7]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X4 @ X0 ) )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( ( b @ X2 @ X4 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $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,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X2: $i,X1: $i,X3: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X3: $i,X1: $i,X0: $i,X2: $i,X4: $i] :
( ( ( b @ X2 @ X4 )
!= $true )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X4 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(flattening,[],[f15]) ).
thf(f22,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ X3 ) )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( $true
!= ( b @ X4 @ X2 ) )
| ( $true
!= ( b @ X1 @ X3 ) ) ),
inference(rectify,[],[f21]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f26,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f27,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f29,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f30,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X0 @ X3 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f31,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f34,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f28,f26]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f28,f26]) ).
thf(f36,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f28,f25]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(constrained_superposition,[],[f31,f34]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f45,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( ( b @ X2 @ z )
!= $true ) ),
inference(constrained_superposition,[],[f42,f35]) ).
thf(f46,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f31,f35]) ).
thf(f47,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( b @ X3 @ z )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f46]) ).
thf(f48,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) ),
inference(duplicate_literal_removal,[],[f45]) ).
thf(f49,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f51,definition,
( spl0_1
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f52,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f51]) ).
thf(f54,definition,
( spl0_2
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f55,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f54]) ).
thf(f56,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f49,f54,f51]) ).
thf(f66,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(constrained_superposition,[],[f47,f35]) ).
thf(f68,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(duplicate_literal_removal,[],[f66]) ).
thf(f69,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ z @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f68]) ).
thf(f71,definition,
( spl0_3
<=> ! [X2: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f72,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f71]) ).
thf(f74,definition,
( spl0_4
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f75,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f74]) ).
thf(f76,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f69,f74,f71]) ).
thf(f77,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f72,f35]) ).
thf(f79,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f77]) ).
thf(f90,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f36,f26]) ).
thf(f91,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f36,f26]) ).
thf(f92,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f25]) ).
thf(f118,definition,
( spl0_5
<=> ! [X2: $i] :
( $true
!= ( r @ z @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f119,plain,
( ! [X2: $i] :
( $true
!= ( r @ z @ X2 ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f124,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f79,f90]) ).
thf(f125,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X1 @ z )
!= $true ) ),
inference(constrained_superposition,[],[f47,f90]) ).
thf(f127,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f42,f90]) ).
thf(f129,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f31,f90]) ).
thf(f130,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f127]) ).
thf(f131,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f125]) ).
thf(f132,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f129]) ).
thf(f134,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f124]) ).
thf(f137,definition,
( spl0_7
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f138,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f137]) ).
thf(f140,definition,
( spl0_8
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f141,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f140]) ).
thf(f142,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f130,f140,f137]) ).
thf(f148,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f134,f119]) ).
thf(f151,definition,
( spl0_10
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f152,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_10 ),
inference(avatar_component_clause,[],[f151]) ).
thf(f154,definition,
( spl0_11
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f155,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_11 ),
inference(avatar_component_clause,[],[f154]) ).
thf(f157,definition,
( spl0_12
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f158,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f157]) ).
thf(f159,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_12
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f148,f118,f71,f157,f154,f151]) ).
thf(f164,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_11 ),
inference(constrained_superposition,[],[f155,f35]) ).
thf(f165,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_11 ),
inference(constrained_superposition,[],[f155,f28]) ).
thf(f166,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_11 ),
inference(trivial_inequality_removal,[],[f164]) ).
thf(f167,plain,
( ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_11 ),
inference(trivial_inequality_removal,[],[f165]) ).
thf(f170,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f167,f26]) ).
thf(f171,plain,
( $false
| ~ spl0_5
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f170,f119]) ).
thf(f172,plain,
( ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f171]) ).
thf(f174,definition,
( spl0_13
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f175,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f174]) ).
thf(f177,definition,
( spl0_14
<=> ( ( r @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f178,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f177]) ).
thf(f179,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f131,f177,f174]) ).
thf(f180,plain,
( spl0_14
| spl0_11 ),
inference(avatar_split_clause,[],[f166,f154,f177]) ).
thf(f182,definition,
( spl0_15
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f183,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f182]) ).
thf(f185,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_10 ),
inference(constrained_superposition,[],[f152,f34]) ).
thf(f187,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_10 ),
inference(trivial_inequality_removal,[],[f185]) ).
thf(f189,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f187,f151,f140]) ).
thf(f191,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X2 ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f30,f75]) ).
thf(f192,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X2 ) )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f191]) ).
thf(f209,definition,
( spl0_16
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f210,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f209]) ).
thf(f218,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f132,f91]) ).
thf(f220,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f47,f91]) ).
thf(f221,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f42,f91]) ).
thf(f222,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f31,f91]) ).
thf(f223,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f222]) ).
thf(f224,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f218]) ).
thf(f225,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f224]) ).
thf(f226,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f221]) ).
thf(f227,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f220]) ).
thf(f230,definition,
( spl0_17
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f231,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f230]) ).
thf(f233,definition,
( spl0_18
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f234,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f233]) ).
thf(f235,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f225,f233,f230]) ).
thf(f237,definition,
( spl0_19
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f238,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f237]) ).
thf(f240,definition,
( spl0_20
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f241,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f240]) ).
thf(f242,plain,
( spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f226,f240,f237]) ).
thf(f252,definition,
( spl0_22
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f253,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f252]) ).
thf(f263,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f238,f90]) ).
thf(f267,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f263]) ).
thf(f280,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f223,f91]) ).
thf(f283,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f280]) ).
thf(f284,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f283]) ).
thf(f288,definition,
( spl0_23
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f289,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f288]) ).
thf(f291,definition,
( spl0_24
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f292,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f291]) ).
thf(f293,plain,
( spl0_23
| spl0_24 ),
inference(avatar_split_clause,[],[f284,f291,f288]) ).
thf(f300,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f92,f26]) ).
thf(f301,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f92,f26]) ).
thf(f308,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f223,f300]) ).
thf(f310,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f132,f300]) ).
thf(f312,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f47,f300]) ).
thf(f313,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f42,f300]) ).
thf(f314,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f31,f300]) ).
thf(f315,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f310]) ).
thf(f316,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f308]) ).
thf(f318,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f314]) ).
thf(f320,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f312]) ).
thf(f321,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f313]) ).
thf(f323,definition,
( spl0_25
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f324,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f323]) ).
thf(f326,definition,
( spl0_26
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f327,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f326]) ).
thf(f328,plain,
( spl0_25
| spl0_26 ),
inference(avatar_split_clause,[],[f315,f326,f323]) ).
thf(f338,definition,
( spl0_29
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f339,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f338]) ).
thf(f341,definition,
( spl0_30
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f342,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f341]) ).
thf(f343,plain,
( spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f321,f341,f338]) ).
thf(f345,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_29 ),
inference(constrained_superposition,[],[f192,f339]) ).
thf(f349,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f345]) ).
thf(f351,definition,
( spl0_31
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f352,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f351]) ).
thf(f354,plain,
( spl0_31
| ~ spl0_4
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f349,f338,f74,f351]) ).
thf(f357,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_22
| ~ spl0_26 ),
inference(constrained_superposition,[],[f253,f327]) ).
thf(f359,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_22
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f357]) ).
thf(f365,definition,
( spl0_32
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f366,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f365]) ).
thf(f368,definition,
( spl0_33
<=> ! [X1: $i] :
( ( r @ ( s @ z ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f369,plain,
( ! [X1: $i] :
( ( r @ ( s @ z ) @ X1 )
!= $true )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f368]) ).
thf(f372,definition,
( spl0_34
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f373,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f372]) ).
thf(f375,definition,
( spl0_35
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f376,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f375]) ).
thf(f377,plain,
( spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f320,f375,f372]) ).
thf(f379,definition,
( spl0_36
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f380,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f379]) ).
thf(f420,definition,
( spl0_38
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f421,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_38 ),
inference(avatar_component_clause,[],[f420]) ).
thf(f423,definition,
( spl0_39
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f424,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f423]) ).
thf(f426,definition,
( spl0_40
<=> ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f427,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_40 ),
inference(avatar_component_clause,[],[f426]) ).
thf(f430,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_38 ),
inference(constrained_superposition,[],[f421,f28]) ).
thf(f432,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_38 ),
inference(trivial_inequality_removal,[],[f430]) ).
thf(f435,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_22
| ~ spl0_26
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f432,f359]) ).
thf(f436,plain,
( $false
| ~ spl0_22
| ~ spl0_26
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f435,f26]) ).
thf(f437,plain,
( ~ spl0_22
| ~ spl0_26
| spl0_38 ),
inference(avatar_contradiction_clause,[],[f436]) ).
thf(f438,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_40 ),
inference(constrained_superposition,[],[f427,f35]) ).
thf(f440,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_40 ),
inference(trivial_inequality_removal,[],[f438]) ).
thf(f442,plain,
( spl0_34
| spl0_40 ),
inference(avatar_split_clause,[],[f440,f426,f372]) ).
thf(f445,plain,
( ( $true != $true )
| ~ spl0_5
| ~ spl0_14 ),
inference(constrained_superposition,[],[f119,f178]) ).
thf(f446,plain,
( $false
| ~ spl0_5
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f445]) ).
thf(f447,plain,
( ~ spl0_5
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f446]) ).
thf(f448,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_32
| ~ spl0_34 ),
inference(constrained_superposition,[],[f366,f373]) ).
thf(f451,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_32
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f448]) ).
thf(f453,definition,
( spl0_41
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f454,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f453]) ).
thf(f456,plain,
( $false
| ~ spl0_14
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f451,f178]) ).
thf(f457,plain,
( ~ spl0_14
| ~ spl0_32
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f456]) ).
thf(f458,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_32 ),
inference(constrained_superposition,[],[f366,f75]) ).
thf(f460,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_4
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f458]) ).
thf(f462,plain,
( $false
| ~ spl0_4
| ~ spl0_14
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f460,f178]) ).
thf(f463,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f462]) ).
thf(f466,definition,
( spl0_42
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f467,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f466]) ).
thf(f469,definition,
( spl0_43
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f470,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f469]) ).
thf(f471,plain,
( spl0_42
| spl0_43 ),
inference(avatar_split_clause,[],[f316,f469,f466]) ).
thf(f473,definition,
( spl0_44
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f474,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f473]) ).
thf(f476,definition,
( spl0_45
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f477,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f476]) ).
thf(f478,plain,
( spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f227,f476,f473]) ).
thf(f483,plain,
( ( $true != $true )
| ~ spl0_8
| ~ spl0_33 ),
inference(constrained_superposition,[],[f369,f141]) ).
thf(f484,plain,
( $false
| ~ spl0_8
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f483]) ).
thf(f485,plain,
( ~ spl0_8
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f484]) ).
thf(f519,definition,
( spl0_47
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
thf(f520,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f519]) ).
thf(f549,definition,
( spl0_48
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f550,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_48 ),
inference(avatar_component_clause,[],[f549]) ).
thf(f552,definition,
( spl0_49
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f553,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_49 ),
inference(avatar_component_clause,[],[f552]) ).
thf(f555,definition,
( spl0_50
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
thf(f556,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f555]) ).
thf(f567,definition,
( spl0_51
<=> ( ( s @ ( s @ z ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f568,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f567]) ).
thf(f570,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_49 ),
inference(constrained_superposition,[],[f553,f90]) ).
thf(f574,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_49 ),
inference(trivial_inequality_removal,[],[f570]) ).
thf(f577,plain,
( spl0_26
| spl0_49 ),
inference(avatar_split_clause,[],[f574,f552,f326]) ).
thf(f579,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_31
| ~ spl0_42 ),
inference(constrained_superposition,[],[f352,f467]) ).
thf(f582,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_31
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f579]) ).
thf(f585,plain,
( $false
| ~ spl0_8
| ~ spl0_31
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f582,f141]) ).
thf(f586,plain,
( ~ spl0_8
| ~ spl0_31
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f585]) ).
thf(f588,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f454,f92]) ).
thf(f591,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f588]) ).
thf(f618,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f376,f300]) ).
thf(f626,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_35 ),
inference(duplicate_literal_removal,[],[f618]) ).
thf(f627,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f626]) ).
thf(f630,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f627,f90]) ).
thf(f634,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f630]) ).
thf(f649,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f470,f300]) ).
thf(f655,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_43 ),
inference(duplicate_literal_removal,[],[f649]) ).
thf(f656,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f655]) ).
thf(f665,definition,
( spl0_53
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f666,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f665]) ).
thf(f667,plain,
( spl0_53
| ~ spl0_49
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f656,f469,f552,f665]) ).
thf(f670,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f318,f91]) ).
thf(f675,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f670]) ).
thf(f677,definition,
( spl0_54
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f678,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f677]) ).
thf(f681,definition,
( spl0_55
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f682,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f681]) ).
thf(f683,plain,
( spl0_55
| spl0_50 ),
inference(avatar_split_clause,[],[f675,f555,f681]) ).
thf(f698,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_55 ),
inference(constrained_superposition,[],[f682,f35]) ).
thf(f700,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f698]) ).
thf(f719,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f223,f591]) ).
thf(f720,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_19
| ~ spl0_41 ),
inference(constrained_superposition,[],[f267,f591]) ).
thf(f725,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_30
| ~ spl0_41 ),
inference(constrained_superposition,[],[f342,f591]) ).
thf(f726,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( z = X0 ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f47,f591]) ).
thf(f735,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ X0 )
= z )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_30
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f725]) ).
thf(f737,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f726]) ).
thf(f738,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z = X0 ) )
| ~ spl0_19
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f720]) ).
thf(f741,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( z = X0 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f719]) ).
thf(f743,definition,
( spl0_56
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f744,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f743]) ).
thf(f754,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_30
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f735,f26]) ).
thf(f756,definition,
( spl0_59
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f757,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f756]) ).
thf(f763,definition,
( spl0_61
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
thf(f764,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f763]) ).
thf(f766,definition,
( spl0_62
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
thf(f767,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f766]) ).
thf(f768,plain,
( spl0_61
| spl0_62
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f737,f453,f766,f763]) ).
thf(f769,plain,
( ~ spl0_38
| spl0_56
| ~ spl0_49
| ~ spl0_19
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f738,f453,f237,f552,f743,f420]) ).
thf(f772,definition,
( spl0_63
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
thf(f773,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f772]) ).
thf(f775,definition,
( spl0_64
<=> ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
thf(f776,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f775]) ).
thf(f777,plain,
( spl0_63
| spl0_64
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f741,f453,f775,f772]) ).
thf(f779,definition,
( spl0_65
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
thf(f780,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f779]) ).
thf(f782,definition,
( spl0_66
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f783,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f782]) ).
thf(f786,definition,
( spl0_67
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
thf(f787,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f786]) ).
thf(f788,plain,
( ~ spl0_38
| spl0_67
| ~ spl0_30
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f754,f453,f341,f786,f420]) ).
thf(f791,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f783,f300]) ).
thf(f792,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f783,f91]) ).
thf(f794,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f791]) ).
thf(f796,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f792]) ).
thf(f919,plain,
( $false
| ~ spl0_29
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f339,f454]) ).
thf(f920,plain,
( ~ spl0_29
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f919]) ).
thf(f922,definition,
( spl0_68
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f923,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f922]) ).
thf(f924,plain,
( spl0_42
| spl0_68
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f796,f782,f922,f466]) ).
thf(f953,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f923,f28]) ).
thf(f958,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f953]) ).
thf(f978,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f292,f91]) ).
thf(f982,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f978]) ).
thf(f998,definition,
( spl0_71
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f999,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f998]) ).
thf(f1003,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f794,f91]) ).
thf(f1005,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f1003]) ).
thf(f1009,plain,
( ~ spl0_48
| spl0_50
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f1005,f782,f555,f549]) ).
thf(f1034,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_47
| ~ spl0_63 ),
inference(constrained_superposition,[],[f520,f773]) ).
thf(f1037,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( z = X0 ) )
| ~ spl0_47
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f1034]) ).
thf(f1038,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_8
| ~ spl0_47
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f1037,f141]) ).
thf(f1039,plain,
( spl0_62
| ~ spl0_8
| ~ spl0_47
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f1038,f772,f519,f140,f766]) ).
thf(f1042,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f30,f241]) ).
thf(f1043,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f1042]) ).
thf(f1067,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f958,f36]) ).
thf(f1069,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f958,f35]) ).
thf(f1070,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f1069]) ).
thf(f1072,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f1067]) ).
thf(f1076,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_17
| ~ spl0_22 ),
inference(constrained_superposition,[],[f253,f231]) ).
thf(f1078,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f30,f231]) ).
thf(f1081,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f1078]) ).
thf(f1082,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_17
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1076]) ).
thf(f1085,definition,
( spl0_72
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
thf(f1086,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f1085]) ).
thf(f1087,plain,
( spl0_33
| spl0_72
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1081,f230,f1085,f368]) ).
thf(f1088,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1082,f241]) ).
thf(f1089,plain,
( spl0_23
| ~ spl0_17
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1088,f252,f240,f230,f288]) ).
thf(f1091,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f234,f36]) ).
thf(f1092,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f234,f90]) ).
thf(f1094,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1091]) ).
thf(f1095,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1092]) ).
thf(f1098,plain,
( spl0_16
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1095,f233,f209]) ).
thf(f1111,definition,
( spl0_73
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f1112,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f1111]) ).
thf(f1116,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_20
| ~ spl0_73 ),
inference(constrained_superposition,[],[f1043,f1112]) ).
thf(f1119,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f30,f1112]) ).
thf(f1120,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_20
| ~ spl0_73 ),
inference(duplicate_literal_removal,[],[f1116]) ).
thf(f1121,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_20
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f1120]) ).
thf(f1123,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f1119]) ).
thf(f1126,definition,
( spl0_74
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
thf(f1127,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f1126]) ).
thf(f1128,plain,
( spl0_33
| spl0_74
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1123,f1111,f1126,f368]) ).
thf(f1193,plain,
( spl0_74
| ~ spl0_20
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1121,f1111,f240,f1126]) ).
thf(f1213,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_34
| ~ spl0_74 ),
inference(constrained_superposition,[],[f1127,f373]) ).
thf(f1218,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_34
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f1213]) ).
thf(f1403,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f1094,f34]) ).
thf(f1406,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f1094,f300]) ).
thf(f1408,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1406]) ).
thf(f1410,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1403]) ).
thf(f1414,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1408,f26]) ).
thf(f1416,definition,
( spl0_83
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f1417,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f1416]) ).
thf(f1418,plain,
( spl0_83
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1410,f233,f154,f1416]) ).
thf(f1419,plain,
( spl0_71
| ~ spl0_49
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1414,f233,f552,f998]) ).
thf(f1955,definition,
( spl0_91
<=> ! [X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
thf(f1956,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f1955]) ).
thf(f1987,definition,
( spl0_97
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
thf(f1988,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f1987]) ).
thf(f2003,definition,
( spl0_99
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
thf(f2004,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f2003]) ).
thf(f2039,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f549]) ).
thf(f2060,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f223,f2039]) ).
thf(f2068,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f31,f2039]) ).
thf(f2069,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f2068]) ).
thf(f2074,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f2060]) ).
thf(f2091,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_99 ),
inference(constrained_superposition,[],[f2004,f300]) ).
thf(f2098,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f2091]) ).
thf(f2131,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_99 ),
inference(constrained_superposition,[],[f2098,f91]) ).
thf(f2134,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f2131]) ).
thf(f2137,plain,
( spl0_50
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f2134,f2003,f555]) ).
thf(f2147,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f2069,f2039]) ).
thf(f2152,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f2147]) ).
thf(f2869,definition,
( spl0_119
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
thf(f2870,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f2869]) ).
thf(f2932,definition,
( spl0_126
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
thf(f2933,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( z = X0 )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f2932]) ).
thf(f3299,definition,
( spl0_127
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
thf(f3300,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f3299]) ).
thf(f3302,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_14
| ~ spl0_34
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f1218,f178]) ).
thf(f3309,plain,
( spl0_29
| ~ spl0_14
| ~ spl0_34
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f3302,f1126,f372,f177,f338]) ).
thf(f3313,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_29 ),
inference(avatar_component_clause,[],[f338]) ).
thf(f3321,definition,
( spl0_128
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
thf(f3322,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f3321]) ).
thf(f3327,definition,
( spl0_129
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
thf(f3328,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f3327]) ).
thf(f3339,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_74 ),
inference(constrained_superposition,[],[f1127,f75]) ).
thf(f3345,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f3339]) ).
thf(f3348,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ~ spl0_4
| ~ spl0_14
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f3345,f178]) ).
thf(f3360,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_4
| ~ spl0_14
| ~ spl0_74 ),
inference(constrained_superposition,[],[f30,f3348]) ).
thf(f3361,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_4
| ~ spl0_14
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f3360]) ).
thf(f3368,definition,
( spl0_130
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
thf(f3369,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f3368]) ).
thf(f3370,plain,
( spl0_5
| spl0_130
| ~ spl0_4
| ~ spl0_14
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f3361,f1126,f177,f74,f3368,f118]) ).
thf(f4237,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f55,f28]) ).
thf(f4238,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f55,f34]) ).
thf(f4239,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f4238]) ).
thf(f4240,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f4237]) ).
thf(f4241,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( $true != $true )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f4239,f28]) ).
thf(f4242,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true != $true )
| ( X0 = X1 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f4239,f36]) ).
thf(f4250,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f4241]) ).
thf(f4252,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f4242]) ).
thf(f4256,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f72,f28]) ).
thf(f4258,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f4256]) ).
thf(f4280,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f757,f35]) ).
thf(f4281,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_59 ),
inference(duplicate_literal_removal,[],[f4280]) ).
thf(f4282,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f4281]) ).
thf(f4791,definition,
( spl0_139
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
thf(f4792,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f4791]) ).
thf(f4794,definition,
( spl0_140
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
thf(f4795,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_140 ),
inference(avatar_component_clause,[],[f4794]) ).
thf(f4842,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_119 ),
inference(constrained_superposition,[],[f30,f2870]) ).
thf(f4843,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ z @ X2 ) )
| ( z = X0 )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f4842]) ).
thf(f4850,plain,
( spl0_5
| spl0_126
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f4843,f2869,f2932,f118]) ).
thf(f5053,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ z ) )
| spl0_51 ),
inference(avatar_component_clause,[],[f567]) ).
thf(f7023,definition,
( spl0_213
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( b @ X1 @ z )
!= $true )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
thf(f7024,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ z )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f7023]) ).
thf(f7088,definition,
( spl0_216
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( b @ X0 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
thf(f7089,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f7088]) ).
thf(f8365,plain,
( spl0_213
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f4240,f54,f7023]) ).
thf(f8366,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( z = X1 )
| ( X0 = X1 ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f7024,f28]) ).
thf(f8376,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f8366]) ).
thf(f8432,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= X1 )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f8376,f34]) ).
thf(f8433,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f8432]) ).
thf(f8560,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f4250,f28]) ).
thf(f8563,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f8560]) ).
thf(f8564,plain,
( spl0_216
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f4258,f71,f7088]) ).
thf(f8566,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( z = X1 )
| ( ( r @ z @ X0 )
= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f7089,f28]) ).
thf(f8567,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ z @ X1 ) )
| ( z = X1 )
| ( $true
!= ( b @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f8566]) ).
thf(f8637,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f30,f424]) ).
thf(f8639,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f8637]) ).
thf(f8643,definition,
( spl0_243
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).
thf(f8644,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f8643]) ).
thf(f8645,plain,
( spl0_243
| spl0_41
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f8639,f423,f453,f8643]) ).
thf(f8687,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_42 ),
inference(avatar_component_clause,[],[f466]) ).
thf(f8702,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( X0 = X1 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f4252,f34]) ).
thf(f8705,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f8702]) ).
thf(f8709,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_128 ),
inference(constrained_superposition,[],[f30,f3322]) ).
thf(f8710,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) ) )
| ~ spl0_128 ),
inference(trivial_inequality_removal,[],[f8709]) ).
thf(f8713,definition,
( spl0_245
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).
thf(f8714,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f8713]) ).
thf(f8715,plain,
( spl0_245
| spl0_41
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f8710,f3321,f453,f8713]) ).
thf(f8733,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2 ),
inference(extensionality_resolution,[],[f8705,f26]) ).
thf(f8734,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_2 ),
inference(extensionality_resolution,[],[f8705,f26]) ).
thf(f8737,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| spl0_42 ),
inference(constrained_superposition,[],[f8687,f8705]) ).
thf(f8757,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| spl0_42 ),
inference(trivial_inequality_removal,[],[f8737]) ).
thf(f8770,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f8567,f90]) ).
thf(f8771,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f8567,f300]) ).
thf(f8774,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f8770]) ).
thf(f8779,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f8771]) ).
thf(f9630,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f30,f556]) ).
thf(f9631,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f9630]) ).
thf(f9635,definition,
( spl0_252
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_252])],[avatar_definition]) ).
thf(f9636,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_252 ),
inference(avatar_component_clause,[],[f9635]) ).
thf(f9637,plain,
( spl0_252
| spl0_41
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f9631,f555,f453,f9635]) ).
thf(f9689,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_31
| ~ spl0_71 ),
inference(constrained_superposition,[],[f352,f999]) ).
thf(f9690,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f30,f999]) ).
thf(f9691,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f9690]) ).
thf(f9692,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_31
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f9689]) ).
thf(f9695,definition,
( spl0_253
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).
thf(f9696,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f9695]) ).
thf(f9697,plain,
( spl0_41
| spl0_253
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f9691,f998,f9695,f453]) ).
thf(f9698,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f9692,f253]) ).
thf(f9739,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ X1 ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X1 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X1 ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_253 ),
inference(constrained_superposition,[],[f9696,f8705]) ).
thf(f9745,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ X1 ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X1 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X1 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f9739]) ).
thf(f9754,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X1 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X1 ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ X1 ) )
= X0 ) )
| ~ spl0_2
| ~ spl0_31
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f9745,f352]) ).
thf(f9760,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ X1 ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X1 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f9754,f9698]) ).
thf(f9976,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_99 ),
inference(constrained_superposition,[],[f2004,f36]) ).
thf(f9982,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f9976]) ).
thf(f10002,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_99 ),
inference(constrained_superposition,[],[f9982,f36]) ).
thf(f10006,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f10002]) ).
thf(f10234,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f1094,f301]) ).
thf(f10245,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
inference(constrained_superposition,[],[f42,f301]) ).
thf(f10247,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f7024,f301]) ).
thf(f10249,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f31,f301]) ).
thf(f10251,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f10234]) ).
thf(f10263,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f10247]) ).
thf(f10265,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f10245]) ).
thf(f10270,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f10249]) ).
thf(f10272,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f10251,f26]) ).
thf(f10278,definition,
( spl0_262
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).
thf(f10279,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f10278]) ).
thf(f10298,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f10263,f26]) ).
thf(f10305,plain,
( spl0_262
| spl0_26
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f10272,f233,f326,f10278]) ).
thf(f10307,definition,
( spl0_268
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).
thf(f10308,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f10307]) ).
thf(f10310,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f10298,f9698]) ).
thf(f10315,plain,
( ~ spl0_38
| spl0_268
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f10310,f7023,f998,f351,f252,f10307,f420]) ).
thf(f10321,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_268 ),
inference(constrained_superposition,[],[f30,f10308]) ).
thf(f10323,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true ) )
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f10321]) ).
thf(f10328,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_26 ),
inference(avatar_component_clause,[],[f326]) ).
thf(f10330,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ~ spl0_2
| spl0_26 ),
inference(constrained_superposition,[],[f10328,f8705]) ).
thf(f10333,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_2
| spl0_26 ),
inference(trivial_inequality_removal,[],[f10330]) ).
thf(f10339,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f783,f300]) ).
thf(f10347,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f10339]) ).
thf(f11063,definition,
( spl0_276
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).
thf(f11064,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_276 ),
inference(avatar_component_clause,[],[f11063]) ).
thf(f11166,definition,
( spl0_285
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
thf(f11167,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_285 ),
inference(avatar_component_clause,[],[f11166]) ).
thf(f11199,definition,
( spl0_288
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).
thf(f11200,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_288 ),
inference(avatar_component_clause,[],[f11199]) ).
thf(f11203,definition,
( spl0_289
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).
thf(f11204,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f11203]) ).
thf(f11210,definition,
( spl0_291
<=> ! [X2: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).
thf(f11211,plain,
( ! [X2: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f11210]) ).
thf(f11218,definition,
( spl0_293
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).
thf(f11219,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f11218]) ).
thf(f11223,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_268
| ~ spl0_289 ),
inference(constrained_superposition,[],[f10323,f11204]) ).
thf(f11231,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_268
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f11223]) ).
thf(f11234,definition,
( spl0_294
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
thf(f11235,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f11234]) ).
thf(f11239,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_34
| ~ spl0_268
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f11231,f373]) ).
thf(f11244,plain,
( spl0_291
| ~ spl0_34
| ~ spl0_268
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f11239,f11203,f10307,f372,f11210]) ).
thf(f11441,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_288 ),
inference(avatar_component_clause,[],[f11199]) ).
thf(f11447,definition,
( spl0_298
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
thf(f11448,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_298 ),
inference(avatar_component_clause,[],[f11447]) ).
thf(f11467,definition,
( spl0_300
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
thf(f11468,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f11467]) ).
thf(f11470,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_71
| spl0_298 ),
inference(constrained_superposition,[],[f11448,f999]) ).
thf(f11471,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_50
| spl0_298 ),
inference(constrained_superposition,[],[f11448,f556]) ).
thf(f11479,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_99
| spl0_298 ),
inference(constrained_superposition,[],[f11448,f10006]) ).
thf(f11481,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_68
| spl0_298 ),
inference(constrained_superposition,[],[f11448,f1072]) ).
thf(f11490,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_50
| spl0_298 ),
inference(trivial_inequality_removal,[],[f11471]) ).
thf(f11497,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_71
| spl0_298 ),
inference(trivial_inequality_removal,[],[f11470]) ).
thf(f11498,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_68
| spl0_298 ),
inference(trivial_inequality_removal,[],[f11481]) ).
thf(f11504,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_99
| spl0_298 ),
inference(trivial_inequality_removal,[],[f11479]) ).
thf(f11508,plain,
( spl0_293
| ~ spl0_50
| spl0_298 ),
inference(avatar_split_clause,[],[f11490,f11447,f555,f11218]) ).
thf(f11512,plain,
( $false
| ~ spl0_71
| spl0_288
| spl0_298 ),
inference(forward_subsumption_resolution,[],[f11497,f11441]) ).
thf(f11513,plain,
( ~ spl0_71
| spl0_288
| spl0_298 ),
inference(avatar_contradiction_clause,[],[f11512]) ).
thf(f11514,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_68
| spl0_288
| spl0_298 ),
inference(forward_subsumption_resolution,[],[f11498,f11441]) ).
thf(f11518,definition,
( spl0_301
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).
thf(f11519,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_301 ),
inference(avatar_component_clause,[],[f11518]) ).
thf(f11521,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_99
| spl0_298 ),
inference(forward_subsumption_resolution,[],[f11504,f26]) ).
thf(f11527,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_68
| spl0_288
| spl0_298 ),
inference(forward_subsumption_resolution,[],[f11514,f26]) ).
thf(f11529,plain,
( spl0_51
| spl0_293
| ~ spl0_99
| spl0_298 ),
inference(avatar_split_clause,[],[f11521,f11447,f2003,f11218,f567]) ).
thf(f11532,plain,
( spl0_301
| ~ spl0_68
| spl0_288
| spl0_298 ),
inference(avatar_split_clause,[],[f11527,f11447,f11199,f922,f11518]) ).
thf(f12055,definition,
( spl0_305
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
thf(f12056,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f12055]) ).
thf(f12247,definition,
( spl0_306
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).
thf(f12248,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f12247]) ).
thf(f12296,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_293 ),
inference(avatar_component_clause,[],[f11218]) ).
thf(f12553,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_276
| ~ spl0_288 ),
inference(constrained_superposition,[],[f11064,f11200]) ).
thf(f12566,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_276
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f12553]) ).
thf(f12569,definition,
( spl0_309
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).
thf(f12570,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f12569]) ).
thf(f12572,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_276
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f12566,f26]) ).
thf(f12573,plain,
( spl0_301
| ~ spl0_276
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f12572,f11199,f11063,f11518]) ).
thf(f12575,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_301 ),
inference(constrained_superposition,[],[f300,f11519]) ).
thf(f12782,definition,
( spl0_312
<=> ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition]) ).
thf(f12783,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f12782]) ).
thf(f12832,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f12575,f27]) ).
thf(f12868,plain,
( $false
| ~ spl0_301 ),
inference(forward_subsumption_resolution,[],[f12832,f29]) ).
thf(f12869,plain,
~ spl0_301,
inference(avatar_contradiction_clause,[],[f12868]) ).
thf(f13027,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f91,f568]) ).
thf(f13169,definition,
( spl0_320
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_320])],[avatar_definition]) ).
thf(f13170,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_320 ),
inference(avatar_component_clause,[],[f13169]) ).
thf(f13176,definition,
( spl0_321
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_321])],[avatar_definition]) ).
thf(f13177,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_321 ),
inference(avatar_component_clause,[],[f13176]) ).
thf(f13206,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f13027,f27]) ).
thf(f13215,definition,
( spl0_324
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).
thf(f13216,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f13215]) ).
thf(f13220,definition,
( spl0_325
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).
thf(f13221,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f13220]) ).
thf(f13235,definition,
( spl0_327
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).
thf(f13236,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_327 ),
inference(avatar_component_clause,[],[f13235]) ).
thf(f13257,plain,
( $false
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f13206,f29]) ).
thf(f13258,plain,
~ spl0_51,
inference(avatar_contradiction_clause,[],[f13257]) ).
thf(f13274,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| spl0_51 ),
inference(extensionality_resolution,[],[f4252,f5053]) ).
thf(f13275,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| spl0_51 ),
inference(extensionality_resolution,[],[f4252,f5053]) ).
thf(f13276,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_51 ),
inference(extensionality_resolution,[],[f92,f5053]) ).
thf(f13277,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_51 ),
inference(extensionality_resolution,[],[f92,f5053]) ).
thf(f13283,definition,
( spl0_328
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).
thf(f13284,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f13283]) ).
thf(f13286,definition,
( spl0_329
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
thf(f13287,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f13286]) ).
thf(f13288,plain,
( spl0_328
| spl0_329
| spl0_51 ),
inference(avatar_split_clause,[],[f13276,f567,f13286,f13283]) ).
thf(f13290,definition,
( spl0_330
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).
thf(f13291,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_330 ),
inference(avatar_component_clause,[],[f13290]) ).
thf(f13293,definition,
( spl0_331
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).
thf(f13294,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f13293]) ).
thf(f13295,plain,
( spl0_330
| spl0_331
| spl0_51 ),
inference(avatar_split_clause,[],[f13277,f567,f13293,f13290]) ).
thf(f14201,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_71
| ~ spl0_291 ),
inference(constrained_superposition,[],[f11211,f999]) ).
thf(f14212,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_68
| ~ spl0_291 ),
inference(constrained_superposition,[],[f11211,f1072]) ).
thf(f14252,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_71
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f14201]) ).
thf(f14259,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_68
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f14212]) ).
thf(f14279,plain,
( $false
| ~ spl0_71
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f14252,f11211]) ).
thf(f14280,plain,
( ~ spl0_71
| ~ spl0_291 ),
inference(avatar_contradiction_clause,[],[f14279]) ).
thf(f14287,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_68
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f14259,f11211]) ).
thf(f14319,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_68
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f14287,f26]) ).
thf(f14335,plain,
( spl0_301
| ~ spl0_68
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f14319,f11210,f922,f11518]) ).
thf(f15450,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_24
| ~ spl0_139 ),
inference(constrained_superposition,[],[f982,f4792]) ).
thf(f15480,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_24
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f15450]) ).
thf(f15503,definition,
( spl0_365
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_365])],[avatar_definition]) ).
thf(f15504,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_365 ),
inference(avatar_component_clause,[],[f15503]) ).
thf(f15515,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_320 ),
inference(constrained_superposition,[],[f13170,f91]) ).
thf(f15518,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_320 ),
inference(trivial_inequality_removal,[],[f15515]) ).
thf(f15605,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_53
| ~ spl0_328 ),
inference(constrained_superposition,[],[f666,f13284]) ).
thf(f15612,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_66
| ~ spl0_328 ),
inference(constrained_superposition,[],[f10347,f13284]) ).
thf(f15625,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_213
| ~ spl0_328 ),
inference(constrained_superposition,[],[f7024,f13284]) ).
thf(f15638,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_66
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f15612]) ).
thf(f15641,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_213
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f15625]) ).
thf(f15645,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_53
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f15605]) ).
thf(f15655,definition,
( spl0_366
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
thf(f15656,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f15655]) ).
thf(f15659,definition,
( spl0_367
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_367])],[avatar_definition]) ).
thf(f15660,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_367 ),
inference(avatar_component_clause,[],[f15659]) ).
thf(f15662,definition,
( spl0_368
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_368])],[avatar_definition]) ).
thf(f15663,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f15662]) ).
thf(f15666,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_66
| spl0_298
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f15638,f11448]) ).
thf(f15668,definition,
( spl0_369
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_369])],[avatar_definition]) ).
thf(f15669,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_369 ),
inference(avatar_component_clause,[],[f15668]) ).
thf(f15671,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_213
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f15641,f9698]) ).
thf(f15674,definition,
( spl0_370
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_370])],[avatar_definition]) ).
thf(f15675,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_370 ),
inference(avatar_component_clause,[],[f15674]) ).
thf(f15677,definition,
( spl0_371
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_371])],[avatar_definition]) ).
thf(f15678,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_371 ),
inference(avatar_component_clause,[],[f15677]) ).
thf(f15681,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_53
| ~ spl0_139
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f15645,f4792]) ).
thf(f15685,definition,
( spl0_372
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_372])],[avatar_definition]) ).
thf(f15686,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_372 ),
inference(avatar_component_clause,[],[f15685]) ).
thf(f15688,definition,
( spl0_373
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_373])],[avatar_definition]) ).
thf(f15689,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_373 ),
inference(avatar_component_clause,[],[f15688]) ).
thf(f15692,definition,
( spl0_374
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_374])],[avatar_definition]) ).
thf(f15693,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_374 ),
inference(avatar_component_clause,[],[f15692]) ).
thf(f15695,plain,
( ~ spl0_374
| ~ spl0_66
| spl0_298
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f15666,f13283,f11447,f782,f15692]) ).
thf(f15696,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_213
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f15671,f26]) ).
thf(f15698,plain,
( spl0_368
| ~ spl0_53
| ~ spl0_139
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f15681,f13283,f4791,f665,f15662]) ).
thf(f15700,plain,
( ~ spl0_373
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_213
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f15696,f13283,f7023,f998,f351,f252,f15688]) ).
thf(f15719,definition,
( spl0_375
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_375])],[avatar_definition]) ).
thf(f15720,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_375 ),
inference(avatar_component_clause,[],[f15719]) ).
thf(f15722,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_368 ),
inference(avatar_component_clause,[],[f15662]) ).
thf(f15725,definition,
( spl0_376
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_376])],[avatar_definition]) ).
thf(f15726,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_376 ),
inference(avatar_component_clause,[],[f15725]) ).
thf(f15745,definition,
( spl0_377
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_377])],[avatar_definition]) ).
thf(f15746,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_377 ),
inference(avatar_component_clause,[],[f15745]) ).
thf(f15789,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_377 ),
inference(constrained_superposition,[],[f90,f15746]) ).
thf(f16002,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_377 ),
inference(forward_subsumption_resolution,[],[f15789,f27]) ).
thf(f16055,plain,
( $false
| ~ spl0_377 ),
inference(forward_subsumption_resolution,[],[f16002,f29]) ).
thf(f16056,plain,
~ spl0_377,
inference(avatar_contradiction_clause,[],[f16055]) ).
thf(f16082,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_268
| ~ spl0_371 ),
inference(constrained_superposition,[],[f10323,f15678]) ).
thf(f16086,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_268
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f16082]) ).
thf(f16091,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_34
| ~ spl0_268
| ~ spl0_371 ),
inference(forward_subsumption_resolution,[],[f16086,f373]) ).
thf(f16095,definition,
( spl0_382
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_382])],[avatar_definition]) ).
thf(f16096,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ~ spl0_382 ),
inference(avatar_component_clause,[],[f16095]) ).
thf(f16098,definition,
( spl0_383
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_383])],[avatar_definition]) ).
thf(f16099,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_383 ),
inference(avatar_component_clause,[],[f16098]) ).
thf(f16102,plain,
( spl0_382
| ~ spl0_34
| ~ spl0_268
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f16091,f15677,f10307,f372,f16095]) ).
thf(f16106,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_373 ),
inference(constrained_superposition,[],[f15689,f28]) ).
thf(f16107,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_373 ),
inference(trivial_inequality_removal,[],[f16106]) ).
thf(f16109,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| spl0_373 ),
inference(forward_subsumption_resolution,[],[f16107,f9698]) ).
thf(f16112,plain,
( $false
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| spl0_373 ),
inference(forward_subsumption_resolution,[],[f16109,f26]) ).
thf(f16113,plain,
( ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| spl0_373 ),
inference(avatar_contradiction_clause,[],[f16112]) ).
thf(f16517,definition,
( spl0_390
<=> ! [X1: $i] :
( ( ( s @ ( s @ X1 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X1 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_390])],[avatar_definition]) ).
thf(f16518,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X1 ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ X1 ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_390 ),
inference(avatar_component_clause,[],[f16517]) ).
thf(f16529,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_375 ),
inference(avatar_component_clause,[],[f15719]) ).
thf(f16570,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_300 ),
inference(constrained_superposition,[],[f90,f11468]) ).
thf(f16752,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f16570,f27]) ).
thf(f16818,plain,
( $false
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f16752,f29]) ).
thf(f16819,plain,
~ spl0_300,
inference(avatar_contradiction_clause,[],[f16818]) ).
thf(f18315,plain,
( spl0_293
| spl0_320 ),
inference(avatar_split_clause,[],[f15518,f13169,f11218]) ).
thf(f18317,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_24
| ~ spl0_48
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f15480,f2039]) ).
thf(f18319,plain,
( ~ spl0_49
| spl0_293
| ~ spl0_24
| ~ spl0_48
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f18317,f4791,f549,f291,f11218,f552]) ).
thf(f18424,plain,
( ( $true != $true )
| ~ spl0_12
| spl0_26 ),
inference(constrained_superposition,[],[f10328,f158]) ).
thf(f18437,plain,
( $false
| ~ spl0_12
| spl0_26 ),
inference(trivial_inequality_removal,[],[f18424]) ).
thf(f18438,plain,
( ~ spl0_12
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f18437]) ).
thf(f18444,definition,
( spl0_393
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_393])],[avatar_definition]) ).
thf(f18445,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_393 ),
inference(avatar_component_clause,[],[f18444]) ).
thf(f18693,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| ~ spl0_22
| ~ spl0_31
| spl0_51
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f13275,f9698]) ).
thf(f18698,definition,
( spl0_394
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_394])],[avatar_definition]) ).
thf(f18699,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_394 ),
inference(avatar_component_clause,[],[f18698]) ).
thf(f18700,plain,
( ~ spl0_38
| spl0_394
| ~ spl0_2
| ~ spl0_22
| ~ spl0_31
| spl0_51
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f18693,f998,f567,f351,f252,f54,f18698,f420]) ).
thf(f18701,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_38 ),
inference(constrained_superposition,[],[f421,f34]) ).
thf(f18704,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_38 ),
inference(trivial_inequality_removal,[],[f18701]) ).
thf(f18878,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_44
| spl0_293 ),
inference(constrained_superposition,[],[f12296,f474]) ).
thf(f18885,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_44
| spl0_293 ),
inference(trivial_inequality_removal,[],[f18878]) ).
thf(f18889,plain,
( spl0_289
| ~ spl0_44
| spl0_293 ),
inference(avatar_split_clause,[],[f18885,f11218,f473,f11203]) ).
thf(f18903,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_374 ),
inference(constrained_superposition,[],[f15693,f28]) ).
thf(f18906,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_374 ),
inference(trivial_inequality_removal,[],[f18903]) ).
thf(f18910,definition,
( spl0_396
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_396])],[avatar_definition]) ).
thf(f18911,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_396 ),
inference(avatar_component_clause,[],[f18910]) ).
thf(f18912,plain,
( spl0_368
| spl0_396
| spl0_374 ),
inference(avatar_split_clause,[],[f18906,f15692,f18910,f15662]) ).
thf(f18928,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_253
| ~ spl0_368 ),
inference(constrained_superposition,[],[f9760,f15663]) ).
thf(f18936,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_253
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f18928]) ).
thf(f18941,plain,
( spl0_390
| ~ spl0_2
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_253
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f18936,f15662,f9695,f998,f351,f252,f54,f16517]) ).
thf(f18943,definition,
( spl0_397
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_397])],[avatar_definition]) ).
thf(f18944,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_397 ),
inference(avatar_component_clause,[],[f18943]) ).
thf(f18946,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_71
| spl0_368 ),
inference(constrained_superposition,[],[f15722,f999]) ).
thf(f18953,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_68
| spl0_368 ),
inference(constrained_superposition,[],[f15722,f1072]) ).
thf(f18959,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_71
| spl0_368 ),
inference(trivial_inequality_removal,[],[f18946]) ).
thf(f18962,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_68
| spl0_368 ),
inference(trivial_inequality_removal,[],[f18953]) ).
thf(f18972,plain,
( $false
| ~ spl0_71
| spl0_368
| spl0_375 ),
inference(forward_subsumption_resolution,[],[f18959,f15720]) ).
thf(f18973,plain,
( ~ spl0_71
| spl0_368
| spl0_375 ),
inference(avatar_contradiction_clause,[],[f18972]) ).
thf(f18975,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_68
| spl0_368
| spl0_375 ),
inference(forward_subsumption_resolution,[],[f18962,f15720]) ).
thf(f18981,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_68
| spl0_368
| spl0_375 ),
inference(forward_subsumption_resolution,[],[f18975,f26]) ).
thf(f18988,plain,
( spl0_396
| ~ spl0_68
| spl0_368
| spl0_375 ),
inference(avatar_split_clause,[],[f18981,f15719,f15662,f922,f18910]) ).
thf(f19476,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_253
| ~ spl0_331 ),
inference(constrained_superposition,[],[f9696,f13294]) ).
thf(f19478,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_252
| ~ spl0_331 ),
inference(constrained_superposition,[],[f9636,f13294]) ).
thf(f19483,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_252
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f19478]) ).
thf(f19484,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_253
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f19476]) ).
thf(f19488,definition,
( spl0_399
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_399])],[avatar_definition]) ).
thf(f19489,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_399 ),
inference(avatar_component_clause,[],[f19488]) ).
thf(f19490,plain,
( spl0_399
| ~ spl0_298
| ~ spl0_252
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f19483,f13293,f9635,f11447,f19488]) ).
thf(f19491,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_253
| ~ spl0_331
| spl0_375 ),
inference(forward_subsumption_resolution,[],[f19484,f15720]) ).
thf(f19493,plain,
( ~ spl0_298
| ~ spl0_253
| ~ spl0_331
| spl0_375 ),
inference(avatar_split_clause,[],[f19491,f15719,f13293,f9695,f11447]) ).
thf(f19494,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_43
| ~ spl0_330 ),
inference(constrained_superposition,[],[f470,f13291]) ).
thf(f19514,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_213
| ~ spl0_330 ),
inference(constrained_superposition,[],[f7024,f13291]) ).
thf(f19519,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_43
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f19494]) ).
thf(f19523,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_213
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f19514]) ).
thf(f19541,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f11447]) ).
thf(f19544,definition,
( spl0_400
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_400])],[avatar_definition]) ).
thf(f19545,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_400 ),
inference(avatar_component_clause,[],[f19544]) ).
thf(f19547,definition,
( spl0_401
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_401])],[avatar_definition]) ).
thf(f19548,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_401 ),
inference(avatar_component_clause,[],[f19547]) ).
thf(f19549,plain,
( spl0_400
| spl0_298
| ~ spl0_401
| ~ spl0_43
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f19519,f13290,f469,f19547,f11447,f19544]) ).
thf(f19552,definition,
( spl0_402
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_402])],[avatar_definition]) ).
thf(f19553,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_402 ),
inference(avatar_component_clause,[],[f19552]) ).
thf(f19555,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_213
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f19523,f26]) ).
thf(f19558,definition,
( spl0_403
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_403])],[avatar_definition]) ).
thf(f19559,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_403 ),
inference(avatar_component_clause,[],[f19558]) ).
thf(f19562,definition,
( spl0_404
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_404])],[avatar_definition]) ).
thf(f19563,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_404 ),
inference(avatar_component_clause,[],[f19562]) ).
thf(f19571,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_213
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f19555,f9698]) ).
thf(f19575,plain,
( ~ spl0_285
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_213
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f19571,f13290,f7023,f998,f351,f252,f11166]) ).
thf(f19576,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_253
| ~ spl0_371 ),
inference(constrained_superposition,[],[f9696,f15678]) ).
thf(f19580,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_253
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f19576]) ).
thf(f19583,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_34
| ~ spl0_253
| ~ spl0_371 ),
inference(forward_subsumption_resolution,[],[f19580,f373]) ).
thf(f19588,plain,
( spl0_375
| ~ spl0_34
| ~ spl0_253
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f19583,f15677,f9695,f372,f15719]) ).
thf(f19609,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_48
| ~ spl0_139 ),
inference(constrained_superposition,[],[f2069,f4792]) ).
thf(f19616,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f42,f4792]) ).
thf(f19637,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_48
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f19609]) ).
thf(f19642,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f19616]) ).
thf(f19647,plain,
( spl0_404
| ~ spl0_48
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f19637,f4791,f549,f19562]) ).
thf(f19666,definition,
( spl0_405
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_405])],[avatar_definition]) ).
thf(f19667,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_405 ),
inference(avatar_component_clause,[],[f19666]) ).
thf(f19865,plain,
( spl0_29
| spl0_298
| ~ spl0_285
| ~ spl0_2
| spl0_51 ),
inference(avatar_split_clause,[],[f13274,f567,f54,f11166,f11447,f338]) ).
thf(f19867,definition,
( spl0_407
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_407])],[avatar_definition]) ).
thf(f19868,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_407 ),
inference(avatar_component_clause,[],[f19867]) ).
thf(f19869,plain,
( spl0_407
| spl0_29
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f19642,f4791,f338,f19867]) ).
thf(f19878,plain,
( spl0_29
| spl0_38 ),
inference(avatar_split_clause,[],[f18704,f420,f338]) ).
thf(f19917,plain,
( spl0_8
| spl0_73
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f8733,f54,f1111,f140]) ).
thf(f19927,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_2
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f10333,f26]) ).
thf(f19930,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| spl0_42
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2074,f8687]) ).
thf(f19932,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_2
| spl0_42 ),
inference(forward_subsumption_resolution,[],[f8757,f26]) ).
thf(f19938,plain,
( spl0_24
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f2152,f549,f291]) ).
thf(f19945,plain,
( spl0_20
| spl0_8
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f8734,f54,f140,f240]) ).
thf(f19953,definition,
( spl0_416
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_416])],[avatar_definition]) ).
thf(f19954,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_416 ),
inference(avatar_component_clause,[],[f19953]) ).
thf(f19964,plain,
( spl0_29
| spl0_8
| ~ spl0_2
| spl0_26 ),
inference(avatar_split_clause,[],[f19927,f326,f54,f140,f338]) ).
thf(f19969,plain,
( spl0_24
| spl0_42
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f19930,f549,f466,f291]) ).
thf(f19971,plain,
( spl0_29
| spl0_8
| ~ spl0_2
| spl0_42 ),
inference(avatar_split_clause,[],[f19932,f466,f54,f140,f338]) ).
thf(f20005,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f8774,f26]) ).
thf(f20023,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f20005,f26]) ).
thf(f20024,plain,
( ~ spl0_10
| spl0_14
| spl0_15
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f20023,f7088,f182,f177,f151]) ).
thf(f20026,plain,
( ( $true != $true )
| ~ spl0_33
| ~ spl0_399 ),
inference(constrained_superposition,[],[f369,f19489]) ).
thf(f20027,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_33 ),
inference(constrained_superposition,[],[f369,f8705]) ).
thf(f20035,plain,
( $false
| ~ spl0_33
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f20026]) ).
thf(f20036,plain,
( ~ spl0_33
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f20035]) ).
thf(f20046,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_2
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f20027]) ).
thf(f20055,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_2
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f20046,f369]) ).
thf(f20061,plain,
( spl0_119
| ~ spl0_2
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f20055,f368,f54,f2869]) ).
thf(f20066,definition,
( spl0_427
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_427])],[avatar_definition]) ).
thf(f20067,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_427 ),
inference(avatar_component_clause,[],[f20066]) ).
thf(f20068,plain,
( ~ spl0_11
| spl0_34
| spl0_427
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f700,f681,f20066,f372,f154]) ).
thf(f20073,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f1070,f26]) ).
thf(f20076,plain,
( spl0_34
| spl0_129
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f4282,f756,f3327,f372]) ).
thf(f20077,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_8 ),
inference(avatar_component_clause,[],[f140]) ).
thf(f20079,plain,
( spl0_34
| spl0_14
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f20073,f922,f177,f372]) ).
thf(f20093,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 ) )
| spl0_8
| ~ spl0_213 ),
inference(constrained_superposition,[],[f20077,f8433]) ).
thf(f20094,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_2
| spl0_8 ),
inference(constrained_superposition,[],[f20077,f8563]) ).
thf(f20100,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_2
| spl0_8 ),
inference(trivial_inequality_removal,[],[f20094]) ).
thf(f20101,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| spl0_8
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f20093]) ).
thf(f20104,plain,
( spl0_97
| ~ spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f20100,f140,f54,f1987]) ).
thf(f20105,plain,
( spl0_91
| spl0_8
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f20101,f7023,f140,f1955]) ).
thf(f20122,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_48 ),
inference(constrained_superposition,[],[f550,f28]) ).
thf(f20124,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_48 ),
inference(trivial_inequality_removal,[],[f20122]) ).
thf(f20156,plain,
( $false
| ~ spl0_23
| spl0_293 ),
inference(forward_subsumption_resolution,[],[f12296,f289]) ).
thf(f20157,plain,
( ~ spl0_23
| spl0_293 ),
inference(avatar_contradiction_clause,[],[f20156]) ).
thf(f20159,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_48
| spl0_51 ),
inference(forward_subsumption_resolution,[],[f20124,f5053]) ).
thf(f20160,plain,
( spl0_42
| spl0_48
| spl0_51 ),
inference(avatar_split_clause,[],[f20159,f567,f549,f466]) ).
thf(f20208,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_54
| ~ spl0_139 ),
inference(constrained_superposition,[],[f678,f4792]) ).
thf(f20230,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_54
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f20208]) ).
thf(f20239,definition,
( spl0_430
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_430])],[avatar_definition]) ).
thf(f20240,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_430 ),
inference(avatar_component_clause,[],[f20239]) ).
thf(f20242,definition,
( spl0_431
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_431])],[avatar_definition]) ).
thf(f20243,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_431 ),
inference(avatar_component_clause,[],[f20242]) ).
thf(f20250,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_431 ),
inference(constrained_superposition,[],[f20243,f90]) ).
thf(f20253,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_431 ),
inference(trivial_inequality_removal,[],[f20250]) ).
thf(f20274,definition,
( spl0_432
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_432])],[avatar_definition]) ).
thf(f20275,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_432 ),
inference(avatar_component_clause,[],[f20274]) ).
thf(f20276,plain,
( spl0_432
| ~ spl0_285
| ~ spl0_54
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f20230,f4791,f677,f11166,f20274]) ).
thf(f20307,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_129 ),
inference(constrained_superposition,[],[f3328,f300]) ).
thf(f20308,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_129
| ~ spl0_139 ),
inference(constrained_superposition,[],[f3328,f4792]) ).
thf(f20311,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_129
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f20308]) ).
thf(f20315,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_129 ),
inference(trivial_inequality_removal,[],[f20307]) ).
thf(f20317,plain,
( ~ spl0_285
| ~ spl0_129
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f20311,f4791,f3327,f11166]) ).
thf(f20318,plain,
( spl0_127
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f20315,f3327,f3299]) ).
thf(f20319,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f10265,f9698]) ).
thf(f20320,plain,
( spl0_59
| spl0_268
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f20319,f998,f351,f252,f10307,f756]) ).
thf(f20328,definition,
( spl0_433
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_433])],[avatar_definition]) ).
thf(f20329,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_433 ),
inference(avatar_component_clause,[],[f20328]) ).
thf(f20334,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_129 ),
inference(constrained_superposition,[],[f3328,f91]) ).
thf(f20337,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_129 ),
inference(trivial_inequality_removal,[],[f20334]) ).
thf(f20353,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_32
| ~ spl0_298 ),
inference(constrained_superposition,[],[f366,f19541]) ).
thf(f20365,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_32
| ~ spl0_298 ),
inference(trivial_inequality_removal,[],[f20353]) ).
thf(f20370,plain,
( $false
| ~ spl0_32
| ~ spl0_288
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f20365,f11200]) ).
thf(f20371,plain,
( ~ spl0_32
| ~ spl0_288
| ~ spl0_298 ),
inference(avatar_contradiction_clause,[],[f20370]) ).
thf(f20377,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f8779,f26]) ).
thf(f20378,plain,
( ~ spl0_10
| spl0_42
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f20337,f3327,f466,f151]) ).
thf(f20382,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f20377,f26]) ).
thf(f20384,plain,
( spl0_39
| spl0_34
| ~ spl0_38
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f20382,f7088,f420,f372,f423]) ).
thf(f20503,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_309
| ~ spl0_329 ),
inference(constrained_superposition,[],[f12570,f13287]) ).
thf(f20504,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_289
| ~ spl0_309 ),
inference(constrained_superposition,[],[f12570,f11204]) ).
thf(f20505,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_4
| ~ spl0_309 ),
inference(constrained_superposition,[],[f12570,f75]) ).
thf(f20507,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_309
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f20503]) ).
thf(f20509,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_4
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f20505]) ).
thf(f20510,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_289
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f20504]) ).
thf(f20514,plain,
( $false
| ~ spl0_309
| ~ spl0_329
| ~ spl0_375 ),
inference(forward_subsumption_resolution,[],[f20507,f16529]) ).
thf(f20515,plain,
( ~ spl0_309
| ~ spl0_329
| ~ spl0_375 ),
inference(avatar_contradiction_clause,[],[f20514]) ).
thf(f20516,plain,
( $false
| ~ spl0_4
| ~ spl0_14
| ~ spl0_309 ),
inference(forward_subsumption_resolution,[],[f20509,f178]) ).
thf(f20517,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_309 ),
inference(avatar_contradiction_clause,[],[f20516]) ).
thf(f20518,plain,
( $false
| ~ spl0_14
| ~ spl0_289
| ~ spl0_309 ),
inference(forward_subsumption_resolution,[],[f20510,f178]) ).
thf(f20519,plain,
( ~ spl0_14
| ~ spl0_289
| ~ spl0_309 ),
inference(avatar_contradiction_clause,[],[f20518]) ).
thf(f20523,plain,
( ( $true != $true )
| ~ spl0_33
| ~ spl0_42 ),
inference(constrained_superposition,[],[f369,f467]) ).
thf(f20525,plain,
( $false
| ~ spl0_33
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f20523]) ).
thf(f20526,plain,
( ~ spl0_33
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f20525]) ).
thf(f20529,plain,
( $false
| ~ spl0_65
| spl0_368 ),
inference(forward_subsumption_resolution,[],[f15722,f780]) ).
thf(f20530,plain,
( ~ spl0_65
| spl0_368 ),
inference(avatar_contradiction_clause,[],[f20529]) ).
thf(f20546,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f132,f2039]) ).
thf(f20549,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f42,f2039]) ).
thf(f20555,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f20549]) ).
thf(f20560,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_48 ),
inference(duplicate_literal_removal,[],[f20546]) ).
thf(f20561,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f20560]) ).
thf(f20568,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_268
| ~ spl0_294 ),
inference(constrained_superposition,[],[f11235,f10308]) ).
thf(f20572,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_268
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f20568]) ).
thf(f20612,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_368 ),
inference(constrained_superposition,[],[f15722,f92]) ).
thf(f20622,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_368 ),
inference(trivial_inequality_removal,[],[f20612]) ).
thf(f20624,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_368 ),
inference(forward_subsumption_resolution,[],[f20622,f26]) ).
thf(f20628,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_55
| spl0_368 ),
inference(constrained_superposition,[],[f682,f20624]) ).
thf(f20645,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_55
| spl0_368 ),
inference(trivial_inequality_removal,[],[f20628]) ).
thf(f20652,definition,
( spl0_435
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_435])],[avatar_definition]) ).
thf(f20653,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_435 ),
inference(avatar_component_clause,[],[f20652]) ).
thf(f20654,plain,
( spl0_435
| ~ spl0_401
| ~ spl0_55
| spl0_368 ),
inference(avatar_split_clause,[],[f20645,f15662,f681,f19547,f20652]) ).
thf(f20656,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_401 ),
inference(constrained_superposition,[],[f19548,f90]) ).
thf(f20661,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_401 ),
inference(trivial_inequality_removal,[],[f20656]) ).
thf(f20669,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_306 ),
inference(constrained_superposition,[],[f12248,f75]) ).
thf(f20672,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_4
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f20669]) ).
thf(f20682,plain,
( $false
| ~ spl0_4
| ~ spl0_14
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f20672,f178]) ).
thf(f20683,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_306 ),
inference(avatar_contradiction_clause,[],[f20682]) ).
thf(f20742,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_331
| ~ spl0_405 ),
inference(constrained_superposition,[],[f19667,f13294]) ).
thf(f20744,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_371
| ~ spl0_405 ),
inference(constrained_superposition,[],[f19667,f15678]) ).
thf(f20748,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_371
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f20744]) ).
thf(f20751,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_331
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f20742]) ).
thf(f20756,plain,
( $false
| ~ spl0_14
| ~ spl0_371
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f20748,f178]) ).
thf(f20757,plain,
( ~ spl0_14
| ~ spl0_371
| ~ spl0_405 ),
inference(avatar_contradiction_clause,[],[f20756]) ).
thf(f20761,plain,
( $false
| ~ spl0_288
| ~ spl0_331
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f20751,f11200]) ).
thf(f20762,plain,
( ~ spl0_288
| ~ spl0_331
| ~ spl0_405 ),
inference(avatar_contradiction_clause,[],[f20761]) ).
thf(f20766,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_329
| ~ spl0_433 ),
inference(constrained_superposition,[],[f20329,f13287]) ).
thf(f20768,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_289
| ~ spl0_433 ),
inference(constrained_superposition,[],[f20329,f11204]) ).
thf(f20769,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_433 ),
inference(constrained_superposition,[],[f20329,f75]) ).
thf(f20771,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_289
| ~ spl0_433 ),
inference(trivial_inequality_removal,[],[f20768]) ).
thf(f20772,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_4
| ~ spl0_433 ),
inference(trivial_inequality_removal,[],[f20769]) ).
thf(f20773,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_329
| ~ spl0_433 ),
inference(trivial_inequality_removal,[],[f20766]) ).
thf(f20780,plain,
( $false
| ~ spl0_4
| ~ spl0_433 ),
inference(forward_subsumption_resolution,[],[f20772,f75]) ).
thf(f20781,plain,
( ~ spl0_4
| ~ spl0_433 ),
inference(avatar_contradiction_clause,[],[f20780]) ).
thf(f20784,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_34 ),
inference(avatar_component_clause,[],[f372]) ).
thf(f20793,plain,
( ~ spl0_34
| ~ spl0_289
| ~ spl0_433 ),
inference(avatar_split_clause,[],[f20771,f20328,f11203,f372]) ).
thf(f20798,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_33
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f556,f369]) ).
thf(f20801,plain,
( spl0_288
| spl0_431 ),
inference(avatar_split_clause,[],[f20253,f20242,f11199]) ).
thf(f20802,plain,
( spl0_65
| ~ spl0_33
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f20798,f555,f368,f779]) ).
thf(f20804,plain,
( spl0_29
| spl0_19
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f20555,f549,f237,f338]) ).
thf(f20807,definition,
( spl0_437
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_437])],[avatar_definition]) ).
thf(f20808,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_437 ),
inference(avatar_component_clause,[],[f20807]) ).
thf(f20811,definition,
( spl0_438
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_438])],[avatar_definition]) ).
thf(f20812,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_438 ),
inference(avatar_component_clause,[],[f20811]) ).
thf(f20815,definition,
( spl0_439
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_439])],[avatar_definition]) ).
thf(f20816,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_439 ),
inference(avatar_component_clause,[],[f20815]) ).
thf(f20820,plain,
( ~ spl0_29
| ~ spl0_268
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f20572,f11234,f10307,f338]) ).
thf(f20821,plain,
( spl0_18
| spl0_26
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f20561,f549,f326,f233]) ).
thf(f20825,definition,
( spl0_440
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_440])],[avatar_definition]) ).
thf(f20826,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_440 ),
inference(avatar_component_clause,[],[f20825]) ).
thf(f20882,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_129
| spl0_368 ),
inference(constrained_superposition,[],[f3328,f20624]) ).
thf(f20887,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_129
| spl0_368 ),
inference(trivial_inequality_removal,[],[f20882]) ).
thf(f20891,plain,
( ~ spl0_373
| ~ spl0_129
| spl0_368 ),
inference(avatar_split_clause,[],[f20887,f15662,f3327,f15688]) ).
thf(f20892,plain,
( ~ spl0_368
| ~ spl0_329
| ~ spl0_433 ),
inference(avatar_split_clause,[],[f20773,f20328,f13286,f15662]) ).
thf(f20895,plain,
( spl0_375
| spl0_401 ),
inference(avatar_split_clause,[],[f20661,f19547,f15719]) ).
thf(f20929,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_99 ),
inference(constrained_superposition,[],[f2004,f35]) ).
thf(f20931,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f20929]) ).
thf(f20935,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_34
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[],[f20931,f20784]) ).
thf(f20936,plain,
( ~ spl0_10
| spl0_34
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f20935,f2003,f372,f151]) ).
thf(f20939,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_16
| ~ spl0_330 ),
inference(constrained_superposition,[],[f210,f13291]) ).
thf(f20962,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_16
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f20939]) ).
thf(f20967,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_16
| spl0_288
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f20962,f11441]) ).
thf(f20970,plain,
( ~ spl0_401
| ~ spl0_16
| spl0_288
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f20967,f13290,f11199,f209,f19547]) ).
thf(f20985,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_42
| ~ spl0_47 ),
inference(constrained_superposition,[],[f520,f467]) ).
thf(f21003,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_42
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f20985]) ).
thf(f21064,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_400 ),
inference(constrained_superposition,[],[f19545,f35]) ).
thf(f21065,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f21064]) ).
thf(f21071,plain,
( spl0_371
| ~ spl0_285
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f21065,f19544,f11166,f15677]) ).
thf(f21074,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_371
| ~ spl0_376 ),
inference(constrained_superposition,[],[f15726,f15678]) ).
thf(f21077,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_371
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f21074]) ).
thf(f21080,plain,
( $false
| ~ spl0_289
| ~ spl0_371
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f21077,f11204]) ).
thf(f21081,plain,
( ~ spl0_289
| ~ spl0_371
| ~ spl0_376 ),
inference(avatar_contradiction_clause,[],[f21080]) ).
thf(f21082,plain,
( ( $true != $true )
| ~ spl0_368
| ~ spl0_382 ),
inference(constrained_superposition,[],[f16096,f15663]) ).
thf(f21083,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_71
| ~ spl0_382 ),
inference(constrained_superposition,[],[f16096,f999]) ).
thf(f21084,plain,
( ( $true != $true )
| ~ spl0_329
| ~ spl0_382 ),
inference(constrained_superposition,[],[f16096,f13287]) ).
thf(f21093,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_71
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f21083]) ).
thf(f21094,plain,
( $false
| ~ spl0_368
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f21082]) ).
thf(f21095,plain,
( ~ spl0_368
| ~ spl0_382 ),
inference(avatar_contradiction_clause,[],[f21094]) ).
thf(f21099,plain,
( $false
| ~ spl0_329
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f21084]) ).
thf(f21100,plain,
( ~ spl0_329
| ~ spl0_382 ),
inference(avatar_contradiction_clause,[],[f21099]) ).
thf(f21104,plain,
( $false
| ~ spl0_71
| spl0_375
| ~ spl0_382 ),
inference(forward_subsumption_resolution,[],[f21093,f15720]) ).
thf(f21105,plain,
( ~ spl0_71
| spl0_375
| ~ spl0_382 ),
inference(avatar_contradiction_clause,[],[f21104]) ).
thf(f21159,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_127 ),
inference(constrained_superposition,[],[f3300,f34]) ).
thf(f21162,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f21159]) ).
thf(f21164,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f21162,f9698]) ).
thf(f21166,plain,
( spl0_65
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f21164,f3299,f998,f351,f252,f779]) ).
thf(f21168,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_32
| ~ spl0_65 ),
inference(constrained_superposition,[],[f366,f780]) ).
thf(f21172,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_32
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f21168]) ).
thf(f21177,plain,
( spl0_305
| ~ spl0_32
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f21172,f779,f365,f12055]) ).
thf(f21213,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f238,f35]) ).
thf(f21215,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f21213]) ).
thf(f21216,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f21215]) ).
thf(f21268,plain,
( ( $true != $true )
| ~ spl0_4
| spl0_34 ),
inference(constrained_superposition,[],[f20784,f75]) ).
thf(f21272,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_376 ),
inference(constrained_superposition,[],[f15726,f75]) ).
thf(f21277,plain,
( $false
| ~ spl0_4
| spl0_34 ),
inference(trivial_inequality_removal,[],[f21268]) ).
thf(f21278,plain,
( ~ spl0_4
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f21277]) ).
thf(f21279,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f21272]) ).
thf(f21283,plain,
( $false
| ~ spl0_4
| ~ spl0_289
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f21279,f11204]) ).
thf(f21284,plain,
( ~ spl0_4
| ~ spl0_289
| ~ spl0_376 ),
inference(avatar_contradiction_clause,[],[f21283]) ).
thf(f21286,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_289 ),
inference(avatar_component_clause,[],[f11203]) ).
thf(f21315,plain,
( spl0_14
| spl0_36
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f21216,f237,f379,f177]) ).
thf(f21317,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_402 ),
inference(constrained_superposition,[],[f19553,f35]) ).
thf(f21320,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_402 ),
inference(trivial_inequality_removal,[],[f21317]) ).
thf(f21351,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_427 ),
inference(constrained_superposition,[],[f20067,f28]) ).
thf(f21353,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_427 ),
inference(constrained_superposition,[],[f20067,f90]) ).
thf(f21355,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f21351]) ).
thf(f21358,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f21353]) ).
thf(f21430,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| spl0_14 ),
inference(avatar_component_clause,[],[f177]) ).
thf(f21466,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_25
| ~ spl0_328 ),
inference(constrained_superposition,[],[f324,f13284]) ).
thf(f21469,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_328 ),
inference(constrained_superposition,[],[f138,f13284]) ).
thf(f21472,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_216
| ~ spl0_328 ),
inference(constrained_superposition,[],[f8567,f13284]) ).
thf(f21474,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_216
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f21472]) ).
thf(f21477,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f21466]) ).
thf(f21484,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f21469]) ).
thf(f21494,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_35
| ~ spl0_330 ),
inference(constrained_superposition,[],[f376,f13291]) ).
thf(f21505,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f21494]) ).
thf(f21526,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_268
| ~ spl0_309 ),
inference(constrained_superposition,[],[f12570,f10308]) ).
thf(f21532,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_268
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f21526]) ).
thf(f21536,plain,
( $false
| ~ spl0_26
| ~ spl0_268
| ~ spl0_309 ),
inference(forward_subsumption_resolution,[],[f21532,f327]) ).
thf(f21537,plain,
( ~ spl0_26
| ~ spl0_268
| ~ spl0_309 ),
inference(avatar_contradiction_clause,[],[f21536]) ).
thf(f21539,definition,
( spl0_443
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_443])],[avatar_definition]) ).
thf(f21540,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_443 ),
inference(avatar_component_clause,[],[f21539]) ).
thf(f21543,definition,
( spl0_444
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_444])],[avatar_definition]) ).
thf(f21544,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_444 ),
inference(avatar_component_clause,[],[f21543]) ).
thf(f21546,plain,
( spl0_369
| spl0_298
| ~ spl0_35
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f21505,f13290,f375,f11447,f15668]) ).
thf(f21548,definition,
( spl0_445
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_445])],[avatar_definition]) ).
thf(f21549,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_445 ),
inference(avatar_component_clause,[],[f21548]) ).
thf(f21550,plain,
( spl0_298
| spl0_445
| ~ spl0_25
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f21477,f13283,f323,f21548,f11447]) ).
thf(f21581,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_427 ),
inference(constrained_superposition,[],[f21358,f35]) ).
thf(f21583,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f21581]) ).
thf(f21585,plain,
( spl0_15
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f21583,f20066,f182]) ).
thf(f21597,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f72,f35]) ).
thf(f21600,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f21597]) ).
thf(f21603,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_372 ),
inference(constrained_superposition,[],[f15686,f90]) ).
thf(f21607,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f21603]) ).
thf(f21613,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_372
| spl0_375 ),
inference(forward_subsumption_resolution,[],[f21607,f15720]) ).
thf(f21615,plain,
( ~ spl0_320
| ~ spl0_372
| spl0_375 ),
inference(avatar_split_clause,[],[f21613,f15719,f15685,f13169]) ).
thf(f21680,plain,
( spl0_288
| spl0_372
| ~ spl0_373
| ~ spl0_7
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f21484,f13283,f137,f15688,f15685,f11199]) ).
thf(f21685,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f4794]) ).
thf(f21688,definition,
( spl0_446
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_446])],[avatar_definition]) ).
thf(f21689,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_446 ),
inference(avatar_component_clause,[],[f21688]) ).
thf(f21697,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_34
| ~ spl0_42
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f21003,f20784]) ).
thf(f21699,plain,
( ~ spl0_8
| spl0_34
| ~ spl0_42
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f21697,f519,f466,f372,f140]) ).
thf(f21726,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_293
| ~ spl0_294 ),
inference(constrained_superposition,[],[f11235,f11219]) ).
thf(f21734,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_293
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f21726]) ).
thf(f21735,plain,
( $false
| ~ spl0_8
| ~ spl0_293
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f21734,f141]) ).
thf(f21736,plain,
( ~ spl0_8
| ~ spl0_293
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f21735]) ).
thf(f21740,plain,
( spl0_371
| spl0_402 ),
inference(avatar_split_clause,[],[f21320,f19552,f15677]) ).
thf(f21743,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_216
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f21474,f26]) ).
thf(f21746,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_216
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f21743,f26]) ).
thf(f21748,plain,
( ~ spl0_285
| spl0_371
| spl0_289
| ~ spl0_216
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f21746,f13283,f7088,f11203,f15677,f11166]) ).
thf(f21785,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_48
| ~ spl0_216 ),
inference(constrained_superposition,[],[f8567,f2039]) ).
thf(f21787,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_48
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f21785]) ).
thf(f21798,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ z ) )
| spl0_14
| ~ spl0_48
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f21787,f21430]) ).
thf(f21802,plain,
( ( z
= ( s @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_14
| spl0_34
| ~ spl0_48
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f21798,f20784]) ).
thf(f21803,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ z ) )
| spl0_14
| spl0_34
| ~ spl0_48
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f21802,f26]) ).
thf(f21804,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_14
| spl0_34
| ~ spl0_48
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f21803,f26]) ).
thf(f21805,plain,
( ~ spl0_38
| spl0_14
| spl0_34
| ~ spl0_48
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f21804,f7088,f549,f372,f177,f420]) ).
thf(f21812,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_373 ),
inference(constrained_superposition,[],[f15689,f34]) ).
thf(f21815,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_373 ),
inference(trivial_inequality_removal,[],[f21812]) ).
thf(f21817,plain,
( spl0_446
| spl0_373 ),
inference(avatar_split_clause,[],[f21815,f15688,f21688]) ).
thf(f21830,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_397
| ~ spl0_399 ),
inference(constrained_superposition,[],[f18944,f19489]) ).
thf(f21831,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_383
| ~ spl0_399 ),
inference(constrained_superposition,[],[f16099,f19489]) ).
thf(f21836,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_397
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f21830]) ).
thf(f21837,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_383
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f21831]) ).
thf(f21841,plain,
( $false
| ~ spl0_42
| ~ spl0_397
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f21836,f467]) ).
thf(f21842,plain,
( ~ spl0_42
| ~ spl0_397
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f21841]) ).
thf(f21843,plain,
( $false
| ~ spl0_8
| ~ spl0_383
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f21837,f141]) ).
thf(f21844,plain,
( ~ spl0_8
| ~ spl0_383
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f21843]) ).
thf(f21845,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_285 ),
inference(constrained_superposition,[],[f11167,f34]) ).
thf(f21848,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_285 ),
inference(trivial_inequality_removal,[],[f21845]) ).
thf(f21850,plain,
( spl0_140
| spl0_285 ),
inference(avatar_split_clause,[],[f21848,f11166,f4794]) ).
thf(f21880,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_32
| ~ spl0_368 ),
inference(constrained_superposition,[],[f366,f15663]) ).
thf(f21887,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_32
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f21880]) ).
thf(f21954,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ~ spl0_56
| spl0_288 ),
inference(constrained_superposition,[],[f11441,f744]) ).
thf(f21959,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f30,f744]) ).
thf(f21961,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f21959]) ).
thf(f21962,plain,
( ( z
= ( s @ z ) )
| ~ spl0_56
| spl0_288 ),
inference(trivial_inequality_removal,[],[f21954]) ).
thf(f21970,definition,
( spl0_448
<=> ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_448])],[avatar_definition]) ).
thf(f21971,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_448 ),
inference(avatar_component_clause,[],[f21970]) ).
thf(f21972,plain,
( spl0_33
| spl0_448
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f21961,f743,f21970,f368]) ).
thf(f21973,plain,
( $false
| ~ spl0_56
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f21962,f26]) ).
thf(f21974,plain,
( ~ spl0_56
| spl0_288 ),
inference(avatar_contradiction_clause,[],[f21973]) ).
thf(f21977,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_127 ),
inference(constrained_superposition,[],[f3300,f34]) ).
thf(f21980,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f21977]) ).
thf(f21982,plain,
( spl0_128
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f21980,f3299,f3321]) ).
thf(f22006,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_262 ),
inference(constrained_superposition,[],[f10279,f90]) ).
thf(f22010,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f22006]) ).
thf(f22013,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_262
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f22010,f12056]) ).
thf(f22015,plain,
( spl0_268
| ~ spl0_262
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f22013,f12055,f10278,f10307]) ).
thf(f22103,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_367 ),
inference(constrained_superposition,[],[f15660,f301]) ).
thf(f22104,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_367 ),
inference(constrained_superposition,[],[f15660,f36]) ).
thf(f22106,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_367 ),
inference(trivial_inequality_removal,[],[f22104]) ).
thf(f22107,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_367 ),
inference(trivial_inequality_removal,[],[f22103]) ).
thf(f22109,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_51
| spl0_367 ),
inference(forward_subsumption_resolution,[],[f22106,f5053]) ).
thf(f22110,plain,
( spl0_394
| spl0_367 ),
inference(avatar_split_clause,[],[f22107,f15659,f18698]) ).
thf(f22112,plain,
( spl0_394
| spl0_51
| spl0_367 ),
inference(avatar_split_clause,[],[f22109,f15659,f567,f18698]) ).
thf(f22115,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_309
| ~ spl0_394 ),
inference(constrained_superposition,[],[f12570,f18699]) ).
thf(f22118,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_72
| ~ spl0_394 ),
inference(constrained_superposition,[],[f1086,f18699]) ).
thf(f22125,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_309
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f22115]) ).
thf(f22127,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_72
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f22118]) ).
thf(f22129,plain,
( $false
| ~ spl0_26
| ~ spl0_309
| ~ spl0_394 ),
inference(forward_subsumption_resolution,[],[f22125,f327]) ).
thf(f22130,plain,
( ~ spl0_26
| ~ spl0_309
| ~ spl0_394 ),
inference(avatar_contradiction_clause,[],[f22129]) ).
thf(f22131,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_26
| ~ spl0_72
| ~ spl0_394 ),
inference(forward_subsumption_resolution,[],[f22127,f327]) ).
thf(f22132,plain,
( $false
| ~ spl0_26
| ~ spl0_72
| spl0_293
| ~ spl0_394 ),
inference(forward_subsumption_resolution,[],[f22131,f12296]) ).
thf(f22133,plain,
( ~ spl0_26
| ~ spl0_72
| spl0_293
| ~ spl0_394 ),
inference(avatar_contradiction_clause,[],[f22132]) ).
thf(f22172,definition,
( spl0_449
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_449])],[avatar_definition]) ).
thf(f22173,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_449 ),
inference(avatar_component_clause,[],[f22172]) ).
thf(f22222,definition,
( spl0_450
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_450])],[avatar_definition]) ).
thf(f22223,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_450 ),
inference(avatar_component_clause,[],[f22222]) ).
thf(f22227,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_328
| ~ spl0_450 ),
inference(constrained_superposition,[],[f22223,f13284]) ).
thf(f22229,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_450 ),
inference(constrained_superposition,[],[f22223,f91]) ).
thf(f22233,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_450 ),
inference(trivial_inequality_removal,[],[f22229]) ).
thf(f22234,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328
| ~ spl0_450 ),
inference(trivial_inequality_removal,[],[f22227]) ).
thf(f22237,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_293
| ~ spl0_450 ),
inference(forward_subsumption_resolution,[],[f22233,f12296]) ).
thf(f22238,plain,
( ~ spl0_403
| ~ spl0_328
| ~ spl0_450 ),
inference(avatar_split_clause,[],[f22234,f22222,f13283,f19558]) ).
thf(f22239,plain,
( ~ spl0_49
| spl0_293
| ~ spl0_450 ),
inference(avatar_split_clause,[],[f22237,f22222,f11218,f552]) ).
thf(f22321,definition,
( spl0_451
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_451])],[avatar_definition]) ).
thf(f22322,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_451 ),
inference(avatar_component_clause,[],[f22321]) ).
thf(f22333,plain,
( ~ spl0_375
| ~ spl0_32
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f21887,f15662,f365,f15719]) ).
thf(f22347,plain,
( $false
| ~ spl0_5
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f11204,f119]) ).
thf(f22348,plain,
( ~ spl0_5
| ~ spl0_289 ),
inference(avatar_contradiction_clause,[],[f22347]) ).
thf(f22349,plain,
( $false
| ~ spl0_5
| ~ spl0_371 ),
inference(forward_subsumption_resolution,[],[f15678,f119]) ).
thf(f22350,plain,
( ~ spl0_5
| ~ spl0_371 ),
inference(avatar_contradiction_clause,[],[f22349]) ).
thf(f22378,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_22
| ~ spl0_288 ),
inference(constrained_superposition,[],[f253,f11200]) ).
thf(f22380,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f22378]) ).
thf(f22385,plain,
( ~ spl0_140
| ~ spl0_22
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f22380,f11199,f252,f4794]) ).
thf(f22413,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_139 ),
inference(constrained_superposition,[],[f138,f4792]) ).
thf(f22424,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_7
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f22413]) ).
thf(f22435,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_451 ),
inference(constrained_superposition,[],[f22322,f91]) ).
thf(f22439,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_451 ),
inference(trivial_inequality_removal,[],[f22435]) ).
thf(f22442,plain,
( spl0_399
| spl0_451 ),
inference(avatar_split_clause,[],[f22439,f22321,f19488]) ).
thf(f22448,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_23
| ~ spl0_397 ),
inference(constrained_superposition,[],[f18944,f289]) ).
thf(f22453,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_23
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f22448]) ).
thf(f22462,plain,
( $false
| ~ spl0_23
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f22453,f289]) ).
thf(f22463,plain,
( ~ spl0_23
| ~ spl0_397 ),
inference(avatar_contradiction_clause,[],[f22462]) ).
thf(f22466,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_245
| ~ spl0_293 ),
inference(constrained_superposition,[],[f8714,f11219]) ).
thf(f22474,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_245
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f22466]) ).
thf(f22475,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_140
| ~ spl0_245
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f22474,f4795]) ).
thf(f22476,plain,
( $false
| ~ spl0_42
| spl0_140
| ~ spl0_245
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f22475,f467]) ).
thf(f22477,plain,
( ~ spl0_42
| spl0_140
| ~ spl0_245
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f22476]) ).
thf(f22504,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_365 ),
inference(constrained_superposition,[],[f15504,f34]) ).
thf(f22508,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_365 ),
inference(trivial_inequality_removal,[],[f22504]) ).
thf(f22514,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_140
| ~ spl0_365 ),
inference(forward_subsumption_resolution,[],[f22508,f4795]) ).
thf(f22515,plain,
( ~ spl0_40
| spl0_140
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f22514,f15503,f4794,f426]) ).
thf(f22516,plain,
( ~ spl0_285
| spl0_26
| spl0_365
| ~ spl0_7
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f22424,f4791,f137,f15503,f326,f11166]) ).
thf(f22533,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_405
| ~ spl0_443 ),
inference(constrained_superposition,[],[f19667,f21540]) ).
thf(f22544,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_405
| ~ spl0_443 ),
inference(trivial_inequality_removal,[],[f22533]) ).
thf(f22551,plain,
( $false
| ~ spl0_26
| ~ spl0_405
| ~ spl0_443 ),
inference(forward_subsumption_resolution,[],[f22544,f327]) ).
thf(f22552,plain,
( ~ spl0_26
| ~ spl0_405
| ~ spl0_443 ),
inference(avatar_contradiction_clause,[],[f22551]) ).
thf(f22554,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_293
| ~ spl0_433 ),
inference(constrained_superposition,[],[f20329,f11219]) ).
thf(f22559,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_293
| ~ spl0_433 ),
inference(trivial_inequality_removal,[],[f22554]) ).
thf(f22564,plain,
( $false
| ~ spl0_42
| ~ spl0_293
| ~ spl0_433 ),
inference(forward_subsumption_resolution,[],[f22559,f467]) ).
thf(f22565,plain,
( ~ spl0_42
| ~ spl0_293
| ~ spl0_433 ),
inference(avatar_contradiction_clause,[],[f22564]) ).
thf(f22608,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_47
| ~ spl0_368 ),
inference(constrained_superposition,[],[f520,f15663]) ).
thf(f22620,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_47
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f22608]) ).
thf(f22622,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_34
| ~ spl0_47
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f22620,f20784]) ).
thf(f22624,plain,
( $false
| spl0_34
| ~ spl0_47
| ~ spl0_368
| ~ spl0_446 ),
inference(forward_subsumption_resolution,[],[f22622,f21689]) ).
thf(f22625,plain,
( spl0_34
| ~ spl0_47
| ~ spl0_368
| ~ spl0_446 ),
inference(avatar_contradiction_clause,[],[f22624]) ).
thf(f22637,plain,
( $false
| ~ spl0_41
| ~ spl0_394 ),
inference(forward_subsumption_resolution,[],[f18699,f454]) ).
thf(f22638,plain,
( ~ spl0_41
| ~ spl0_394 ),
inference(avatar_contradiction_clause,[],[f22637]) ).
thf(f22718,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_371
| ~ spl0_448 ),
inference(constrained_superposition,[],[f21971,f15678]) ).
thf(f22720,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_371
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f22718]) ).
thf(f22725,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_371
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f22720,f178]) ).
thf(f22727,plain,
( $false
| ~ spl0_14
| ~ spl0_371
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f22725,f26]) ).
thf(f22728,plain,
( ~ spl0_14
| ~ spl0_371
| ~ spl0_448 ),
inference(avatar_contradiction_clause,[],[f22727]) ).
thf(f22778,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f55,f34]) ).
thf(f22780,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f22778]) ).
thf(f22786,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f22780,f301]) ).
thf(f22791,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f22786]) ).
thf(f22797,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f22791,f454]) ).
thf(f22800,definition,
( spl0_452
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_452])],[avatar_definition]) ).
thf(f22801,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_452 ),
inference(avatar_component_clause,[],[f22800]) ).
thf(f22802,plain,
( ~ spl0_38
| spl0_452
| ~ spl0_2
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f22797,f453,f54,f22800,f420]) ).
thf(f22803,plain,
( ( $true != $true )
| spl0_140
| ~ spl0_452 ),
inference(constrained_superposition,[],[f4795,f22801]) ).
thf(f22808,plain,
( $false
| spl0_140
| ~ spl0_452 ),
inference(trivial_inequality_removal,[],[f22803]) ).
thf(f22809,plain,
( spl0_140
| ~ spl0_452 ),
inference(avatar_contradiction_clause,[],[f22808]) ).
thf(f23011,plain,
( $false
| ~ spl0_26
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f327,f454]) ).
thf(f23012,plain,
( ~ spl0_26
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f23011]) ).
thf(f23028,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f30,f289]) ).
thf(f23029,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f23028]) ).
thf(f23060,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_375 ),
inference(constrained_superposition,[],[f253,f16529]) ).
thf(f23062,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_375 ),
inference(trivial_inequality_removal,[],[f23060]) ).
thf(f23065,plain,
( $false
| ~ spl0_22
| ~ spl0_375
| ~ spl0_446 ),
inference(forward_subsumption_resolution,[],[f23062,f21689]) ).
thf(f23066,plain,
( ~ spl0_22
| ~ spl0_375
| ~ spl0_446 ),
inference(avatar_contradiction_clause,[],[f23065]) ).
thf(f23071,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_449 ),
inference(constrained_superposition,[],[f22173,f91]) ).
thf(f23074,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_449 ),
inference(trivial_inequality_removal,[],[f23071]) ).
thf(f23251,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_23
| ~ spl0_368 ),
inference(constrained_superposition,[],[f23029,f15663]) ).
thf(f23252,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_23
| ~ spl0_298 ),
inference(constrained_superposition,[],[f23029,f19541]) ).
thf(f23256,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_23
| ~ spl0_298 ),
inference(trivial_inequality_removal,[],[f23252]) ).
thf(f23257,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_23
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f23251]) ).
thf(f23265,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f292,f91]) ).
thf(f23272,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f23265]) ).
thf(f23273,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_61 ),
inference(constrained_superposition,[],[f764,f301]) ).
thf(f23282,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f23273]) ).
thf(f23285,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_41
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f23282,f454]) ).
thf(f23314,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_41
| ~ spl0_61
| ~ spl0_330 ),
inference(constrained_superposition,[],[f23285,f13291]) ).
thf(f23319,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_41
| ~ spl0_61
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f23314]) ).
thf(f23343,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_445 ),
inference(constrained_superposition,[],[f21549,f301]) ).
thf(f23345,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_445 ),
inference(constrained_superposition,[],[f21549,f35]) ).
thf(f23348,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_445 ),
inference(trivial_inequality_removal,[],[f23343]) ).
thf(f23349,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_445 ),
inference(trivial_inequality_removal,[],[f23345]) ).
thf(f23352,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_41
| ~ spl0_445 ),
inference(forward_subsumption_resolution,[],[f23348,f454]) ).
thf(f23353,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_5
| ~ spl0_445 ),
inference(forward_subsumption_resolution,[],[f23349,f119]) ).
thf(f23354,plain,
( ~ spl0_367
| ~ spl0_49
| ~ spl0_41
| ~ spl0_445 ),
inference(avatar_split_clause,[],[f23352,f21548,f453,f552,f15659]) ).
thf(f23355,plain,
( ~ spl0_370
| ~ spl0_11
| ~ spl0_5
| ~ spl0_445 ),
inference(avatar_split_clause,[],[f23353,f21548,f118,f154,f15674]) ).
thf(f23356,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_321
| ~ spl0_330 ),
inference(constrained_superposition,[],[f13177,f13291]) ).
thf(f23362,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_321
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f23356]) ).
thf(f23373,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_327 ),
inference(constrained_superposition,[],[f13236,f35]) ).
thf(f23379,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f23373]) ).
thf(f23382,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_289
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f23379,f21286]) ).
thf(f23384,plain,
( spl0_325
| spl0_289
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f23382,f13235,f11203,f13220]) ).
thf(f23390,definition,
( spl0_454
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_454])],[avatar_definition]) ).
thf(f23391,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_454 ),
inference(avatar_component_clause,[],[f23390]) ).
thf(f23399,plain,
( spl0_405
| ~ spl0_23
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f23257,f15662,f288,f19666]) ).
thf(f23402,plain,
( ~ spl0_373
| ~ spl0_403
| ~ spl0_41
| ~ spl0_61
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f23319,f13290,f763,f453,f19558,f15688]) ).
thf(f23405,plain,
( spl0_309
| ~ spl0_23
| ~ spl0_298 ),
inference(avatar_split_clause,[],[f23256,f11447,f288,f12569]) ).
thf(f23420,plain,
( spl0_369
| ~ spl0_321
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f23362,f13290,f13176,f15668]) ).
thf(f23432,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_23
| ~ spl0_452 ),
inference(constrained_superposition,[],[f23029,f22801]) ).
thf(f23437,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_23
| ~ spl0_452 ),
inference(trivial_inequality_removal,[],[f23432]) ).
thf(f23441,plain,
( spl0_306
| ~ spl0_23
| ~ spl0_452 ),
inference(avatar_split_clause,[],[f23437,f22800,f288,f12247]) ).
thf(f23443,plain,
( ( $true != $true )
| ~ spl0_291
| ~ spl0_298 ),
inference(constrained_superposition,[],[f11211,f19541]) ).
thf(f23444,plain,
( ( $true != $true )
| ~ spl0_65
| ~ spl0_291 ),
inference(constrained_superposition,[],[f11211,f780]) ).
thf(f23446,plain,
( ( $true != $true )
| ~ spl0_291
| ~ spl0_452 ),
inference(constrained_superposition,[],[f11211,f22801]) ).
thf(f23447,plain,
( $false
| ~ spl0_291
| ~ spl0_452 ),
inference(trivial_inequality_removal,[],[f23446]) ).
thf(f23448,plain,
( ~ spl0_291
| ~ spl0_452 ),
inference(avatar_contradiction_clause,[],[f23447]) ).
thf(f23449,plain,
( $false
| ~ spl0_291
| ~ spl0_298 ),
inference(trivial_inequality_removal,[],[f23443]) ).
thf(f23450,plain,
( ~ spl0_291
| ~ spl0_298 ),
inference(avatar_contradiction_clause,[],[f23449]) ).
thf(f23451,plain,
( $false
| ~ spl0_65
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f23444]) ).
thf(f23452,plain,
( ~ spl0_65
| ~ spl0_291 ),
inference(avatar_contradiction_clause,[],[f23451]) ).
thf(f23455,plain,
( ~ spl0_10
| spl0_71
| ~ spl0_49
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f634,f375,f552,f998,f151]) ).
thf(f23517,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_41
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f10279,f454]) ).
thf(f23535,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_41
| ~ spl0_262 ),
inference(constrained_superposition,[],[f23517,f90]) ).
thf(f23540,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_41
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f23535]) ).
thf(f23542,plain,
( spl0_454
| ~ spl0_41
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f23540,f10278,f453,f23390]) ).
thf(f23543,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_22
| ~ spl0_454 ),
inference(constrained_superposition,[],[f253,f23391]) ).
thf(f23545,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_454 ),
inference(trivial_inequality_removal,[],[f23543]) ).
thf(f23548,plain,
( ( $true != $true )
| ~ spl0_22
| ~ spl0_140
| ~ spl0_454 ),
inference(constrained_superposition,[],[f23545,f21685]) ).
thf(f23549,plain,
( $false
| ~ spl0_22
| ~ spl0_140
| ~ spl0_454 ),
inference(trivial_inequality_removal,[],[f23548]) ).
thf(f23550,plain,
( ~ spl0_22
| ~ spl0_140
| ~ spl0_454 ),
inference(avatar_contradiction_clause,[],[f23549]) ).
thf(f23583,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_294
| ~ spl0_394 ),
inference(constrained_superposition,[],[f11235,f18699]) ).
thf(f23586,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_294
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f23583]) ).
thf(f23619,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_370 ),
inference(constrained_superposition,[],[f15675,f35]) ).
thf(f23622,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_370 ),
inference(trivial_inequality_removal,[],[f23619]) ).
thf(f23631,plain,
( $false
| ~ spl0_375
| ~ spl0_382 ),
inference(forward_subsumption_resolution,[],[f16529,f16096]) ).
thf(f23632,plain,
( ~ spl0_375
| ~ spl0_382 ),
inference(avatar_contradiction_clause,[],[f23631]) ).
thf(f23634,plain,
( ( $true != $true )
| ~ spl0_140
| ~ spl0_291 ),
inference(constrained_superposition,[],[f11211,f21685]) ).
thf(f23635,plain,
( $false
| ~ spl0_140
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f23634]) ).
thf(f23636,plain,
( ~ spl0_140
| ~ spl0_291 ),
inference(avatar_contradiction_clause,[],[f23635]) ).
thf(f23640,plain,
( spl0_289
| spl0_370 ),
inference(avatar_split_clause,[],[f23622,f15674,f11203]) ).
thf(f23672,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_368 ),
inference(constrained_superposition,[],[f15722,f92]) ).
thf(f23673,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_368 ),
inference(trivial_inequality_removal,[],[f23672]) ).
thf(f23674,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_368 ),
inference(forward_subsumption_resolution,[],[f23673,f26]) ).
thf(f23693,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| spl0_368 ),
inference(constrained_superposition,[],[f132,f23674]) ).
thf(f23694,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| spl0_368 ),
inference(constrained_superposition,[],[f47,f23674]) ).
thf(f23695,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_368 ),
inference(constrained_superposition,[],[f42,f23674]) ).
thf(f23696,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_216
| spl0_368 ),
inference(constrained_superposition,[],[f8567,f23674]) ).
thf(f23697,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_368 ),
inference(constrained_superposition,[],[f31,f23674]) ).
thf(f23698,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_368 ),
inference(trivial_inequality_removal,[],[f23694]) ).
thf(f23700,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_368 ),
inference(trivial_inequality_removal,[],[f23697]) ).
thf(f23702,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| spl0_368 ),
inference(trivial_inequality_removal,[],[f23693]) ).
thf(f23705,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_216
| spl0_368 ),
inference(trivial_inequality_removal,[],[f23696]) ).
thf(f23708,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_368 ),
inference(trivial_inequality_removal,[],[f23695]) ).
thf(f23710,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_34
| spl0_368 ),
inference(forward_subsumption_resolution,[],[f23698,f20784]) ).
thf(f23713,plain,
( spl0_366
| spl0_34
| spl0_368 ),
inference(avatar_split_clause,[],[f23710,f15662,f372,f15655]) ).
thf(f23717,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f366,f92]) ).
thf(f23721,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f23717]) ).
thf(f23739,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_330 ),
inference(constrained_superposition,[],[f324,f13291]) ).
thf(f23740,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f223,f13291]) ).
thf(f23748,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f23740]) ).
thf(f23749,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f23739]) ).
thf(f23760,plain,
( spl0_404
| spl0_399
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f23748,f13290,f19488,f19562]) ).
thf(f23761,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_330
| spl0_368 ),
inference(forward_subsumption_resolution,[],[f23749,f15722]) ).
thf(f23764,plain,
( spl0_445
| ~ spl0_25
| ~ spl0_330
| spl0_368 ),
inference(avatar_split_clause,[],[f23761,f15662,f13290,f323,f21548]) ).
thf(f23873,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_35
| ~ spl0_328 ),
inference(constrained_superposition,[],[f627,f13284]) ).
thf(f23874,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_35
| ~ spl0_328 ),
inference(constrained_superposition,[],[f376,f13284]) ).
thf(f23885,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_35
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f23873]) ).
thf(f23896,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_35
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f23874]) ).
thf(f23900,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_35
| ~ spl0_328
| spl0_368 ),
inference(forward_subsumption_resolution,[],[f23896,f15722]) ).
thf(f23902,plain,
( spl0_369
| ~ spl0_35
| ~ spl0_328
| spl0_368 ),
inference(avatar_split_clause,[],[f23900,f15662,f13283,f375,f15668]) ).
thf(f23927,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_35
| ~ spl0_328
| spl0_368 ),
inference(forward_subsumption_resolution,[],[f23885,f15722]) ).
thf(f23931,plain,
( ~ spl0_285
| ~ spl0_367
| ~ spl0_35
| ~ spl0_328
| spl0_368 ),
inference(avatar_split_clause,[],[f23927,f15662,f13283,f375,f15659,f11166]) ).
thf(f23956,plain,
( spl0_26
| spl0_437
| spl0_368 ),
inference(avatar_split_clause,[],[f23702,f15662,f20807,f326]) ).
thf(f23959,plain,
( spl0_42
| ~ spl0_11
| ~ spl0_449 ),
inference(avatar_split_clause,[],[f23074,f22172,f154,f466]) ).
thf(f23973,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_22
| ~ spl0_26 ),
inference(constrained_superposition,[],[f253,f327]) ).
thf(f23976,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_22
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f23973]) ).
thf(f23986,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_45
| ~ spl0_48 ),
inference(constrained_superposition,[],[f477,f2039]) ).
thf(f24001,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f23986]) ).
thf(f24006,plain,
( spl0_99
| ~ spl0_38
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f24001,f549,f476,f420,f2003]) ).
thf(f24012,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_99
| spl0_368 ),
inference(constrained_superposition,[],[f2004,f23674]) ).
thf(f24016,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_99
| spl0_368 ),
inference(trivial_inequality_removal,[],[f24012]) ).
thf(f24023,plain,
( ~ spl0_451
| ~ spl0_99
| spl0_368 ),
inference(avatar_split_clause,[],[f24016,f15662,f2003,f22321]) ).
thf(f24052,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_1
| spl0_29 ),
inference(constrained_superposition,[],[f3313,f52]) ).
thf(f24053,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_1
| spl0_140 ),
inference(constrained_superposition,[],[f4795,f52]) ).
thf(f24057,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| spl0_140 ),
inference(trivial_inequality_removal,[],[f24053]) ).
thf(f24059,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_1
| spl0_29 ),
inference(trivial_inequality_removal,[],[f24052]) ).
thf(f24064,plain,
( $false
| ~ spl0_1
| spl0_29
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f24059,f20784]) ).
thf(f24065,plain,
( ~ spl0_1
| spl0_29
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f24064]) ).
thf(f24067,plain,
( spl0_29
| spl0_439
| spl0_368 ),
inference(avatar_split_clause,[],[f23708,f15662,f20815,f338]) ).
thf(f24068,plain,
( spl0_289
| ~ spl0_1
| spl0_140 ),
inference(avatar_split_clause,[],[f24057,f4794,f51,f11203]) ).
thf(f24069,plain,
( ~ spl0_29
| ~ spl0_22
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f23976,f326,f252,f338]) ).
thf(f24071,plain,
( ~ spl0_29
| ~ spl0_294
| ~ spl0_394 ),
inference(avatar_split_clause,[],[f23586,f18698,f11234,f338]) ).
thf(f24097,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f55,f34]) ).
thf(f24098,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f24097]) ).
thf(f24101,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_294
| ~ spl0_329 ),
inference(constrained_superposition,[],[f11235,f13287]) ).
thf(f24104,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_294
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f24101]) ).
thf(f24107,plain,
( $false
| ~ spl0_294
| ~ spl0_329
| ~ spl0_446 ),
inference(forward_subsumption_resolution,[],[f24104,f21689]) ).
thf(f24108,plain,
( ~ spl0_294
| ~ spl0_329
| ~ spl0_446 ),
inference(avatar_contradiction_clause,[],[f24107]) ).
thf(f24129,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f24098,f28]) ).
thf(f24133,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_2
| spl0_368 ),
inference(constrained_superposition,[],[f24098,f23674]) ).
thf(f24137,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| spl0_368 ),
inference(trivial_inequality_removal,[],[f24133]) ).
thf(f24139,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f24129]) ).
thf(f24156,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_394 ),
inference(constrained_superposition,[],[f1127,f18699]) ).
thf(f24162,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_74
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f24156]) ).
thf(f24170,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_74
| spl0_140
| ~ spl0_394 ),
inference(forward_subsumption_resolution,[],[f24162,f4795]) ).
thf(f24172,plain,
( $false
| ~ spl0_26
| ~ spl0_74
| spl0_140
| ~ spl0_394 ),
inference(forward_subsumption_resolution,[],[f24170,f327]) ).
thf(f24173,plain,
( ~ spl0_26
| ~ spl0_74
| spl0_140
| ~ spl0_394 ),
inference(avatar_contradiction_clause,[],[f24172]) ).
thf(f24181,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_325 ),
inference(constrained_superposition,[],[f13221,f301]) ).
thf(f24185,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f24181]) ).
thf(f24239,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_139 ),
inference(avatar_component_clause,[],[f4791]) ).
thf(f24251,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_243
| ~ spl0_331 ),
inference(constrained_superposition,[],[f8644,f13294]) ).
thf(f24253,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_243
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f24251]) ).
thf(f24307,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_327 ),
inference(constrained_superposition,[],[f13236,f91]) ).
thf(f24312,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_327 ),
inference(duplicate_literal_removal,[],[f24307]) ).
thf(f24313,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f24312]) ).
thf(f24315,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_293
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f24313,f12296]) ).
thf(f24316,plain,
( spl0_324
| spl0_293
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f24315,f13235,f11218,f13215]) ).
thf(f24371,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_366 ),
inference(constrained_superposition,[],[f15656,f90]) ).
thf(f24380,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f24371]) ).
thf(f24409,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_439 ),
inference(constrained_superposition,[],[f20816,f91]) ).
thf(f24410,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_439 ),
inference(constrained_superposition,[],[f20816,f35]) ).
thf(f24412,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_439 ),
inference(duplicate_literal_removal,[],[f24410]) ).
thf(f24413,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f24412]) ).
thf(f24415,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f24409]) ).
thf(f24422,definition,
( spl0_460
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_460])],[avatar_definition]) ).
thf(f24423,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_460 ),
inference(avatar_component_clause,[],[f24422]) ).
thf(f24424,plain,
( spl0_460
| spl0_399
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f24415,f20815,f19488,f24422]) ).
thf(f24427,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_460 ),
inference(constrained_superposition,[],[f24423,f301]) ).
thf(f24430,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_460 ),
inference(trivial_inequality_removal,[],[f24427]) ).
thf(f24449,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_437 ),
inference(constrained_superposition,[],[f20808,f35]) ).
thf(f24453,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_437 ),
inference(trivial_inequality_removal,[],[f24449]) ).
thf(f24457,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| spl0_368 ),
inference(constrained_superposition,[],[f23700,f301]) ).
thf(f24458,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| spl0_368 ),
inference(constrained_superposition,[],[f23700,f91]) ).
thf(f24459,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_368 ),
inference(constrained_superposition,[],[f23700,f35]) ).
thf(f24461,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_368 ),
inference(trivial_inequality_removal,[],[f24458]) ).
thf(f24462,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| spl0_368 ),
inference(duplicate_literal_removal,[],[f24457]) ).
thf(f24463,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_368 ),
inference(trivial_inequality_removal,[],[f24462]) ).
thf(f24465,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_368 ),
inference(trivial_inequality_removal,[],[f24459]) ).
thf(f24466,plain,
( spl0_66
| spl0_443
| spl0_368 ),
inference(avatar_split_clause,[],[f24463,f15662,f21539,f782]) ).
thf(f24493,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_331
| ~ spl0_397 ),
inference(constrained_superposition,[],[f18944,f13294]) ).
thf(f24496,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_331
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f24493]) ).
thf(f24500,plain,
( $false
| ~ spl0_298
| ~ spl0_331
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f24496,f19541]) ).
thf(f24501,plain,
( ~ spl0_298
| ~ spl0_331
| ~ spl0_397 ),
inference(avatar_contradiction_clause,[],[f24500]) ).
thf(f24505,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_66
| spl0_368 ),
inference(constrained_superposition,[],[f783,f23674]) ).
thf(f24510,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_66
| spl0_368 ),
inference(trivial_inequality_removal,[],[f24505]) ).
thf(f24518,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_66
| spl0_368 ),
inference(constrained_superposition,[],[f24510,f35]) ).
thf(f24523,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_66
| spl0_368 ),
inference(trivial_inequality_removal,[],[f24518]) ).
thf(f24564,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_438 ),
inference(constrained_superposition,[],[f20812,f34]) ).
thf(f24571,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_438 ),
inference(trivial_inequality_removal,[],[f24564]) ).
thf(f24700,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_427 ),
inference(constrained_superposition,[],[f21355,f28]) ).
thf(f24702,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f24700]) ).
thf(f24705,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f10270,f301]) ).
thf(f24708,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(duplicate_literal_removal,[],[f24705]) ).
thf(f24709,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f24708]) ).
thf(f24715,definition,
( spl0_462
<=> ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_462])],[avatar_definition]) ).
thf(f24716,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_462 ),
inference(avatar_component_clause,[],[f24715]) ).
thf(f24717,plain,
( spl0_268
| spl0_462 ),
inference(avatar_split_clause,[],[f24709,f24715,f10307]) ).
thf(f24739,definition,
( spl0_465
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_465])],[avatar_definition]) ).
thf(f24740,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_465 ),
inference(avatar_component_clause,[],[f24739]) ).
thf(f24746,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_465 ),
inference(constrained_superposition,[],[f24740,f35]) ).
thf(f24750,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_465 ),
inference(trivial_inequality_removal,[],[f24746]) ).
thf(f24789,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_288
| ~ spl0_427 ),
inference(constrained_superposition,[],[f11441,f24702]) ).
thf(f24794,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_288
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f24789]) ).
thf(f24799,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_288
| ~ spl0_427 ),
inference(forward_subsumption_resolution,[],[f24794,f26]) ).
thf(f24800,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_288
| spl0_289
| ~ spl0_427 ),
inference(forward_subsumption_resolution,[],[f24799,f21286]) ).
thf(f24801,plain,
( spl0_300
| spl0_288
| spl0_289
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f24800,f20066,f11203,f11199,f11467]) ).
thf(f24818,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_91
| spl0_293 ),
inference(constrained_superposition,[],[f12296,f1956]) ).
thf(f24820,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_91
| ~ spl0_433 ),
inference(constrained_superposition,[],[f20329,f1956]) ).
thf(f24829,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_91
| spl0_293 ),
inference(trivial_inequality_removal,[],[f24818]) ).
thf(f24831,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_91
| ~ spl0_433 ),
inference(trivial_inequality_removal,[],[f24820]) ).
thf(f24836,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_91
| spl0_293 ),
inference(forward_subsumption_resolution,[],[f24829,f26]) ).
thf(f24837,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_91
| spl0_140
| ~ spl0_433 ),
inference(forward_subsumption_resolution,[],[f24831,f4795]) ).
thf(f24840,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_91
| spl0_140
| spl0_293 ),
inference(forward_subsumption_resolution,[],[f24836,f4795]) ).
thf(f24841,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_91
| spl0_140
| ~ spl0_433 ),
inference(forward_subsumption_resolution,[],[f24837,f26]) ).
thf(f24843,plain,
( spl0_300
| ~ spl0_91
| spl0_140
| spl0_293 ),
inference(avatar_split_clause,[],[f24840,f11218,f4794,f1955,f11467]) ).
thf(f24844,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_42
| ~ spl0_91
| spl0_140
| ~ spl0_433 ),
inference(forward_subsumption_resolution,[],[f24841,f467]) ).
thf(f24845,plain,
( spl0_300
| ~ spl0_42
| ~ spl0_91
| spl0_140
| ~ spl0_433 ),
inference(avatar_split_clause,[],[f24844,f20328,f4794,f1955,f466,f11467]) ).
thf(f24848,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_97
| spl0_288 ),
inference(constrained_superposition,[],[f11441,f1988]) ).
thf(f24850,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_97
| spl0_288 ),
inference(trivial_inequality_removal,[],[f24848]) ).
thf(f24853,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_97
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f24850,f26]) ).
thf(f24858,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_97
| spl0_140
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f24853,f4795]) ).
thf(f24859,plain,
( spl0_300
| ~ spl0_97
| spl0_140
| spl0_288 ),
inference(avatar_split_clause,[],[f24858,f11199,f4794,f1987,f11467]) ).
thf(f24860,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_83
| spl0_288 ),
inference(constrained_superposition,[],[f11441,f1417]) ).
thf(f24865,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_83
| spl0_288 ),
inference(trivial_inequality_removal,[],[f24860]) ).
thf(f24868,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_83
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f24865,f26]) ).
thf(f24869,plain,
( $false
| ~ spl0_83
| spl0_140
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f24868,f4795]) ).
thf(f24870,plain,
( ~ spl0_83
| spl0_140
| spl0_288 ),
inference(avatar_contradiction_clause,[],[f24869]) ).
thf(f24871,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( z = X1 )
| ( $true
!= ( b @ X0 @ z ) )
| ( X0 = X1 ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f7024,f28]) ).
thf(f24875,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_213
| spl0_368 ),
inference(constrained_superposition,[],[f7024,f23674]) ).
thf(f24880,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ X1 @ z )
= $true )
| ( X0 = X1 )
| ( z = X1 )
| ( ( r @ X0 @ X1 )
= $true ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f24871]) ).
thf(f24881,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_213
| spl0_368 ),
inference(trivial_inequality_removal,[],[f24875]) ).
thf(f24927,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ X1 @ z )
= $true )
| ( X0 = X1 )
| ( z = X1 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f24880,f28]) ).
thf(f24930,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X1 @ z )
= $true )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f24927]) ).
thf(f24931,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_15
| spl0_288 ),
inference(constrained_superposition,[],[f11441,f183]) ).
thf(f24934,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f30,f183]) ).
thf(f24935,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| spl0_288 ),
inference(trivial_inequality_removal,[],[f24931]) ).
thf(f24938,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f24934]) ).
thf(f24939,plain,
( $false
| ~ spl0_15
| spl0_288
| spl0_289 ),
inference(forward_subsumption_resolution,[],[f24935,f21286]) ).
thf(f24940,plain,
( ~ spl0_15
| spl0_288
| spl0_289 ),
inference(avatar_contradiction_clause,[],[f24939]) ).
thf(f24942,definition,
( spl0_469
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_469])],[avatar_definition]) ).
thf(f24943,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_469 ),
inference(avatar_component_clause,[],[f24942]) ).
thf(f24944,plain,
( spl0_469
| spl0_33
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f24938,f182,f368,f24942]) ).
thf(f26414,definition,
( spl0_524
<=> ! [X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_524])],[avatar_definition]) ).
thf(f26415,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_524 ),
inference(avatar_component_clause,[],[f26414]) ).
thf(f27139,definition,
( spl0_597
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_597])],[avatar_definition]) ).
thf(f27140,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_597 ),
inference(avatar_component_clause,[],[f27139]) ).
thf(f27170,definition,
( spl0_599
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_599])],[avatar_definition]) ).
thf(f27171,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_599 ),
inference(avatar_component_clause,[],[f27170]) ).
thf(f27174,definition,
( spl0_600
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_600])],[avatar_definition]) ).
thf(f27175,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_600 ),
inference(avatar_component_clause,[],[f27174]) ).
thf(f27294,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| spl0_140
| ~ spl0_213 ),
inference(constrained_superposition,[],[f4795,f24930]) ).
thf(f27299,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| spl0_140
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f27294]) ).
thf(f27305,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| spl0_140
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f27299,f26]) ).
thf(f27307,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_32
| ~ spl0_312 ),
inference(constrained_superposition,[],[f366,f12783]) ).
thf(f27312,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_32
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f27307]) ).
thf(f27317,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_22
| ~ spl0_32
| ~ spl0_312 ),
inference(forward_subsumption_resolution,[],[f27312,f253]) ).
thf(f27318,plain,
( spl0_276
| ~ spl0_22
| ~ spl0_32
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f27317,f12782,f365,f252,f11063]) ).
thf(f27458,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_288
| ~ spl0_390 ),
inference(constrained_superposition,[],[f11441,f16518]) ).
thf(f27463,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_288
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f27458]) ).
thf(f27468,plain,
( spl0_301
| spl0_288
| ~ spl0_390 ),
inference(avatar_split_clause,[],[f27463,f16517,f11199,f11518]) ).
thf(f27533,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_396 ),
inference(constrained_superposition,[],[f301,f18911]) ).
thf(f27686,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_396 ),
inference(forward_subsumption_resolution,[],[f27533,f29]) ).
thf(f27708,plain,
( $false
| ~ spl0_396 ),
inference(forward_subsumption_resolution,[],[f27686,f27]) ).
thf(f27709,plain,
~ spl0_396,
inference(avatar_contradiction_clause,[],[f27708]) ).
thf(f27722,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f24139,f28]) ).
thf(f27725,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f27722]) ).
thf(f28423,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| spl0_140
| ~ spl0_213
| ~ spl0_245 ),
inference(constrained_superposition,[],[f8714,f27305]) ).
thf(f28435,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| spl0_140
| ~ spl0_213
| ~ spl0_245 ),
inference(duplicate_literal_removal,[],[f28423]) ).
thf(f28436,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| spl0_140
| ~ spl0_213
| ~ spl0_245 ),
inference(trivial_inequality_removal,[],[f28435]) ).
thf(f28440,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| spl0_140
| ~ spl0_213
| ~ spl0_245
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f28436,f19541]) ).
thf(f28442,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| spl0_140
| ~ spl0_213
| ~ spl0_245
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f28440,f26]) ).
thf(f28449,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| spl0_140
| ~ spl0_213
| ~ spl0_245
| spl0_288
| ~ spl0_298 ),
inference(constrained_superposition,[],[f11441,f28442]) ).
thf(f28465,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| spl0_140
| ~ spl0_213
| ~ spl0_245
| ~ spl0_298
| ~ spl0_383 ),
inference(constrained_superposition,[],[f16099,f28442]) ).
thf(f28783,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_22
| spl0_140
| ~ spl0_213
| ~ spl0_245
| spl0_288
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f28449,f253]) ).
thf(f28787,plain,
( spl0_305
| ~ spl0_22
| spl0_140
| ~ spl0_213
| ~ spl0_245
| spl0_288
| ~ spl0_298 ),
inference(avatar_split_clause,[],[f28783,f11447,f11199,f8713,f7023,f4794,f252,f12055]) ).
thf(f28806,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_268
| ~ spl0_376 ),
inference(constrained_superposition,[],[f15726,f10308]) ).
thf(f28818,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_268
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f28806]) ).
thf(f28821,plain,
( $false
| ~ spl0_268
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f28818,f10308]) ).
thf(f28822,plain,
( ~ spl0_268
| ~ spl0_376 ),
inference(avatar_contradiction_clause,[],[f28821]) ).
thf(f28856,definition,
( spl0_618
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_618])],[avatar_definition]) ).
thf(f28857,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_618 ),
inference(avatar_component_clause,[],[f28856]) ).
thf(f28946,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X1 ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X1 ) ) ) @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_140
| ~ spl0_213
| ~ spl0_245
| ~ spl0_298
| ~ spl0_383 ),
inference(constrained_superposition,[],[f28465,f28442]) ).
thf(f28961,plain,
( spl0_294
| spl0_618
| spl0_140
| ~ spl0_213
| ~ spl0_245
| ~ spl0_298
| ~ spl0_383 ),
inference(avatar_split_clause,[],[f28946,f16098,f11447,f8713,f7023,f4794,f28856,f11234]) ).
thf(f29279,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X2 ) ) )
| ~ spl0_618 ),
inference(constrained_superposition,[],[f30,f28857]) ).
thf(f29282,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X2 ) ) )
| ~ spl0_618 ),
inference(trivial_inequality_removal,[],[f29279]) ).
thf(f29707,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_301 ),
inference(avatar_component_clause,[],[f11518]) ).
thf(f29712,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_301 ),
inference(extensionality_resolution,[],[f92,f29707]) ).
thf(f29713,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_301 ),
inference(extensionality_resolution,[],[f92,f29707]) ).
thf(f29714,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_301 ),
inference(extensionality_resolution,[],[f36,f29707]) ).
thf(f29715,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_301 ),
inference(extensionality_resolution,[],[f36,f29707]) ).
thf(f29721,definition,
( spl0_621
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_621])],[avatar_definition]) ).
thf(f29722,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_621 ),
inference(avatar_component_clause,[],[f29721]) ).
thf(f29724,definition,
( spl0_622
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_622])],[avatar_definition]) ).
thf(f29725,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_622 ),
inference(avatar_component_clause,[],[f29724]) ).
thf(f29726,plain,
( spl0_621
| spl0_622
| spl0_301 ),
inference(avatar_split_clause,[],[f29713,f11518,f29724,f29721]) ).
thf(f29728,definition,
( spl0_623
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_623])],[avatar_definition]) ).
thf(f29729,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_623 ),
inference(avatar_component_clause,[],[f29728]) ).
thf(f29731,definition,
( spl0_624
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_624])],[avatar_definition]) ).
thf(f29732,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_624 ),
inference(avatar_component_clause,[],[f29731]) ).
thf(f29733,plain,
( spl0_623
| spl0_624
| spl0_301 ),
inference(avatar_split_clause,[],[f29712,f11518,f29731,f29728]) ).
thf(f29771,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_24
| ~ spl0_621 ),
inference(constrained_superposition,[],[f23272,f29722]) ).
thf(f29814,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_24
| ~ spl0_621 ),
inference(trivial_inequality_removal,[],[f29771]) ).
thf(f29859,definition,
( spl0_625
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_625])],[avatar_definition]) ).
thf(f29860,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_625 ),
inference(avatar_component_clause,[],[f29859]) ).
thf(f29867,definition,
( spl0_627
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_627])],[avatar_definition]) ).
thf(f29868,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_627 ),
inference(avatar_component_clause,[],[f29867]) ).
thf(f29870,definition,
( spl0_628
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_628])],[avatar_definition]) ).
thf(f29871,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_628 ),
inference(avatar_component_clause,[],[f29870]) ).
thf(f29874,definition,
( spl0_629
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_629])],[avatar_definition]) ).
thf(f29875,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_629 ),
inference(avatar_component_clause,[],[f29874]) ).
thf(f29876,plain,
( spl0_629
| ~ spl0_451
| ~ spl0_401
| ~ spl0_24
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f29814,f29721,f291,f19547,f22321,f29874]) ).
thf(f29878,definition,
( spl0_630
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_630])],[avatar_definition]) ).
thf(f29879,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_630 ),
inference(avatar_component_clause,[],[f29878]) ).
thf(f29891,definition,
( spl0_631
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_631])],[avatar_definition]) ).
thf(f29892,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_631 ),
inference(avatar_component_clause,[],[f29891]) ).
thf(f29896,definition,
( spl0_632
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_632])],[avatar_definition]) ).
thf(f29897,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_632 ),
inference(avatar_component_clause,[],[f29896]) ).
thf(f29902,definition,
( spl0_633
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_633])],[avatar_definition]) ).
thf(f29903,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_633 ),
inference(avatar_component_clause,[],[f29902]) ).
thf(f29906,definition,
( spl0_634
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_634])],[avatar_definition]) ).
thf(f29907,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_634 ),
inference(avatar_component_clause,[],[f29906]) ).
thf(f29915,definition,
( spl0_635
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_635])],[avatar_definition]) ).
thf(f29916,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_635 ),
inference(avatar_component_clause,[],[f29915]) ).
thf(f29930,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_376
| ~ spl0_622 ),
inference(constrained_superposition,[],[f15726,f29725]) ).
thf(f29931,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_383
| ~ spl0_622 ),
inference(constrained_superposition,[],[f16099,f29725]) ).
thf(f29933,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_140
| ~ spl0_213
| ~ spl0_245
| ~ spl0_298
| ~ spl0_383
| ~ spl0_622 ),
inference(constrained_superposition,[],[f28465,f29725]) ).
thf(f29942,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_140
| ~ spl0_213
| ~ spl0_245
| ~ spl0_298
| ~ spl0_383
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f29933]) ).
thf(f29946,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_376
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f29930]) ).
thf(f29947,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_383
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f29931]) ).
thf(f29950,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_140
| ~ spl0_213
| ~ spl0_245
| ~ spl0_298
| ~ spl0_383
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f29942,f4795]) ).
thf(f29952,definition,
( spl0_637
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_637])],[avatar_definition]) ).
thf(f29953,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_637 ),
inference(avatar_component_clause,[],[f29952]) ).
thf(f29956,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_630 ),
inference(avatar_component_clause,[],[f29878]) ).
thf(f29958,plain,
( ~ spl0_630
| ~ spl0_383
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f29947,f29724,f16098,f29878]) ).
thf(f29960,plain,
( ~ spl0_630
| spl0_140
| ~ spl0_213
| ~ spl0_245
| ~ spl0_298
| ~ spl0_383
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f29950,f29724,f16098,f11447,f8713,f7023,f4794,f29878]) ).
thf(f29991,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_376
| ~ spl0_622 ),
inference(constrained_superposition,[],[f29946,f92]) ).
thf(f29994,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_376
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f29991]) ).
thf(f29996,definition,
( spl0_639
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_639])],[avatar_definition]) ).
thf(f29997,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_639 ),
inference(avatar_component_clause,[],[f29996]) ).
thf(f29998,plain,
( spl0_300
| spl0_639
| ~ spl0_376
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f29994,f29724,f15725,f29996,f11467]) ).
thf(f30002,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_140
| ~ spl0_213
| ~ spl0_245
| ~ spl0_298
| ~ spl0_639 ),
inference(constrained_superposition,[],[f29997,f28442]) ).
thf(f30024,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_325
| ~ spl0_639 ),
inference(constrained_superposition,[],[f13221,f29997]) ).
thf(f30037,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_639 ),
inference(constrained_superposition,[],[f24098,f29997]) ).
thf(f30041,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_216
| ~ spl0_639 ),
inference(constrained_superposition,[],[f8567,f29997]) ).
thf(f30062,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_639 ),
inference(trivial_inequality_removal,[],[f30037]) ).
thf(f30066,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_325
| ~ spl0_639 ),
inference(trivial_inequality_removal,[],[f30024]) ).
thf(f30073,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_216
| ~ spl0_639 ),
inference(trivial_inequality_removal,[],[f30041]) ).
thf(f30092,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_140
| ~ spl0_213
| ~ spl0_245
| ~ spl0_298
| ~ spl0_639 ),
inference(forward_subsumption_resolution,[],[f30002,f27]) ).
thf(f30094,definition,
( spl0_640
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_640])],[avatar_definition]) ).
thf(f30095,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_640 ),
inference(avatar_component_clause,[],[f30094]) ).
thf(f30097,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_140
| ~ spl0_639 ),
inference(forward_subsumption_resolution,[],[f30062,f4795]) ).
thf(f30102,plain,
( ~ spl0_627
| ~ spl0_628
| ~ spl0_325
| ~ spl0_639 ),
inference(avatar_split_clause,[],[f30066,f29996,f13220,f29870,f29867]) ).
thf(f30106,definition,
( spl0_642
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_642])],[avatar_definition]) ).
thf(f30107,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_642 ),
inference(avatar_component_clause,[],[f30106]) ).
thf(f30109,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_216
| spl0_289
| ~ spl0_639 ),
inference(forward_subsumption_resolution,[],[f30073,f21286]) ).
thf(f30111,definition,
( spl0_643
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_643])],[avatar_definition]) ).
thf(f30112,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_643 ),
inference(avatar_component_clause,[],[f30111]) ).
thf(f30123,plain,
( ~ spl0_628
| ~ spl0_2
| spl0_140
| ~ spl0_639 ),
inference(avatar_split_clause,[],[f30097,f29996,f4794,f54,f29870]) ).
thf(f30125,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_216
| spl0_289
| ~ spl0_639 ),
inference(forward_subsumption_resolution,[],[f30109,f26]) ).
thf(f30129,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_216
| spl0_289
| ~ spl0_639 ),
inference(forward_subsumption_resolution,[],[f30125,f26]) ).
thf(f30130,plain,
( spl0_640
| ~ spl0_285
| ~ spl0_216
| spl0_289
| ~ spl0_639 ),
inference(avatar_split_clause,[],[f30129,f29996,f11203,f7088,f11166,f30094]) ).
thf(f30131,plain,
( spl0_399
| spl0_55
| spl0_368 ),
inference(avatar_split_clause,[],[f24461,f15662,f681,f19488]) ).
thf(f30138,plain,
( spl0_630
| spl0_140
| ~ spl0_213
| ~ spl0_245
| ~ spl0_298
| ~ spl0_639 ),
inference(avatar_split_clause,[],[f30092,f29996,f11447,f8713,f7023,f4794,f29878]) ).
thf(f30157,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_628 ),
inference(constrained_superposition,[],[f29871,f34]) ).
thf(f30159,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_628 ),
inference(trivial_inequality_removal,[],[f30157]) ).
thf(f30161,plain,
( spl0_630
| spl0_628 ),
inference(avatar_split_clause,[],[f30159,f29870,f29878]) ).
thf(f30174,definition,
( spl0_645
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_645])],[avatar_definition]) ).
thf(f30175,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_645 ),
inference(avatar_component_clause,[],[f30174]) ).
thf(f30181,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_635 ),
inference(constrained_superposition,[],[f29916,f35]) ).
thf(f30183,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_635 ),
inference(trivial_inequality_removal,[],[f30181]) ).
thf(f30185,plain,
( spl0_640
| spl0_635 ),
inference(avatar_split_clause,[],[f30183,f29915,f30094]) ).
thf(f30208,definition,
( spl0_646
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_646])],[avatar_definition]) ).
thf(f30209,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ~ spl0_646 ),
inference(avatar_component_clause,[],[f30208]) ).
thf(f30252,definition,
( spl0_647
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_647])],[avatar_definition]) ).
thf(f30253,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_647 ),
inference(avatar_component_clause,[],[f30252]) ).
thf(f30279,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_629
| ~ spl0_645 ),
inference(constrained_superposition,[],[f30175,f29875]) ).
thf(f30291,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_629
| ~ spl0_645 ),
inference(trivial_inequality_removal,[],[f30279]) ).
thf(f30293,plain,
( $false
| ~ spl0_8
| ~ spl0_629
| ~ spl0_645 ),
inference(forward_subsumption_resolution,[],[f30291,f141]) ).
thf(f30294,plain,
( ~ spl0_8
| ~ spl0_629
| ~ spl0_645 ),
inference(avatar_contradiction_clause,[],[f30293]) ).
thf(f30296,definition,
( spl0_649
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_649])],[avatar_definition]) ).
thf(f30297,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_649 ),
inference(avatar_component_clause,[],[f30296]) ).
thf(f30298,plain,
( spl0_371
| spl0_649
| ~ spl0_11
| ~ spl0_437 ),
inference(avatar_split_clause,[],[f24453,f20807,f154,f30296,f15677]) ).
thf(f30299,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_216
| spl0_368 ),
inference(forward_subsumption_resolution,[],[f23705,f26]) ).
thf(f30300,plain,
( ~ spl0_49
| ~ spl0_38
| spl0_394
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f24185,f13220,f18698,f420,f552]) ).
thf(f30311,plain,
( ~ spl0_49
| ~ spl0_38
| spl0_443
| ~ spl0_460 ),
inference(avatar_split_clause,[],[f24430,f24422,f21539,f420,f552]) ).
thf(f30313,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_243
| ~ spl0_298
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f24253,f19541]) ).
thf(f30318,plain,
( spl0_328
| spl0_329
| spl0_301 ),
inference(avatar_split_clause,[],[f29715,f11518,f13286,f13283]) ).
thf(f30319,plain,
( ~ spl0_40
| spl0_371
| ~ spl0_66
| spl0_368 ),
inference(avatar_split_clause,[],[f24523,f15662,f782,f15677,f426]) ).
thf(f30325,definition,
( spl0_654
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_654])],[avatar_definition]) ).
thf(f30326,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_654 ),
inference(avatar_component_clause,[],[f30325]) ).
thf(f30327,plain,
( spl0_654
| spl0_5
| ~ spl0_618 ),
inference(avatar_split_clause,[],[f29282,f28856,f118,f30325]) ).
thf(f30331,definition,
( spl0_655
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_655])],[avatar_definition]) ).
thf(f30332,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_655 ),
inference(avatar_component_clause,[],[f30331]) ).
thf(f30333,plain,
( spl0_655
| spl0_371
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f24413,f20815,f15677,f30331]) ).
thf(f30334,plain,
( ~ spl0_38
| spl0_371
| ~ spl0_465 ),
inference(avatar_split_clause,[],[f24750,f24739,f15677,f420]) ).
thf(f30336,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_34
| ~ spl0_216
| spl0_368 ),
inference(forward_subsumption_resolution,[],[f30299,f20784]) ).
thf(f30338,plain,
( spl0_371
| ~ spl0_243
| ~ spl0_298
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f30313,f13293,f11447,f8643,f15677]) ).
thf(f30340,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_34
| ~ spl0_216
| spl0_368 ),
inference(forward_subsumption_resolution,[],[f30336,f26]) ).
thf(f30341,plain,
( spl0_371
| ~ spl0_38
| spl0_34
| ~ spl0_216
| spl0_368 ),
inference(avatar_split_clause,[],[f30340,f15662,f7088,f372,f420,f15677]) ).
thf(f30348,plain,
( ( $true != $true )
| ~ spl0_5
| ~ spl0_640 ),
inference(constrained_superposition,[],[f119,f30095]) ).
thf(f30352,plain,
( $false
| ~ spl0_5
| ~ spl0_640 ),
inference(trivial_inequality_removal,[],[f30348]) ).
thf(f30353,plain,
( ~ spl0_5
| ~ spl0_640 ),
inference(avatar_contradiction_clause,[],[f30352]) ).
thf(f30374,plain,
( ( $true != $true )
| ~ spl0_382
| ~ spl0_446 ),
inference(constrained_superposition,[],[f16096,f21689]) ).
thf(f30380,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_312
| ~ spl0_382 ),
inference(constrained_superposition,[],[f16096,f12783]) ).
thf(f30385,plain,
( $false
| ~ spl0_382
| ~ spl0_446 ),
inference(trivial_inequality_removal,[],[f30374]) ).
thf(f30386,plain,
( ~ spl0_382
| ~ spl0_446 ),
inference(avatar_contradiction_clause,[],[f30385]) ).
thf(f30387,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_312
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f30380]) ).
thf(f30391,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_312
| ~ spl0_382 ),
inference(forward_subsumption_resolution,[],[f30387,f26]) ).
thf(f30399,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_382
| ~ spl0_438 ),
inference(forward_subsumption_resolution,[],[f24571,f16096]) ).
thf(f30400,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_312
| ~ spl0_382 ),
inference(forward_subsumption_resolution,[],[f30391,f16096]) ).
thf(f30404,plain,
( ~ spl0_40
| ~ spl0_382
| ~ spl0_438 ),
inference(avatar_split_clause,[],[f30399,f20811,f16095,f426]) ).
thf(f30405,plain,
( spl0_396
| ~ spl0_312
| ~ spl0_382 ),
inference(avatar_split_clause,[],[f30400,f16095,f12782,f18910]) ).
thf(f30423,plain,
( ( $true != $true )
| ~ spl0_630
| ~ spl0_646 ),
inference(constrained_superposition,[],[f30209,f29879]) ).
thf(f30429,plain,
( $false
| ~ spl0_630
| ~ spl0_646 ),
inference(trivial_inequality_removal,[],[f30423]) ).
thf(f30430,plain,
( ~ spl0_630
| ~ spl0_646 ),
inference(avatar_contradiction_clause,[],[f30429]) ).
thf(f30490,definition,
( spl0_658
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_658])],[avatar_definition]) ).
thf(f30491,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_658 ),
inference(avatar_component_clause,[],[f30490]) ).
thf(f30506,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_655 ),
inference(constrained_superposition,[],[f30332,f301]) ).
thf(f30511,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_655 ),
inference(trivial_inequality_removal,[],[f30506]) ).
thf(f30524,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_437
| ~ spl0_621 ),
inference(constrained_superposition,[],[f20808,f29722]) ).
thf(f30530,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_621
| ~ spl0_649 ),
inference(constrained_superposition,[],[f30297,f29722]) ).
thf(f30553,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_437
| ~ spl0_621 ),
inference(trivial_inequality_removal,[],[f30524]) ).
thf(f30557,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_621
| ~ spl0_649 ),
inference(trivial_inequality_removal,[],[f30530]) ).
thf(f30574,plain,
( ~ spl0_627
| spl0_634
| ~ spl0_437
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f30553,f29721,f20807,f29906,f29867]) ).
thf(f30576,plain,
( ~ spl0_635
| ~ spl0_621
| ~ spl0_649 ),
inference(avatar_split_clause,[],[f30557,f30296,f29721,f29915]) ).
thf(f30590,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_366
| ~ spl0_624 ),
inference(constrained_superposition,[],[f15656,f29732]) ).
thf(f30614,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_366
| ~ spl0_624 ),
inference(trivial_inequality_removal,[],[f30590]) ).
thf(f30634,plain,
( spl0_633
| ~ spl0_366
| ~ spl0_624 ),
inference(avatar_split_clause,[],[f30614,f29731,f15655,f29902]) ).
thf(f30768,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_74
| ~ spl0_331 ),
inference(constrained_superposition,[],[f1127,f13294]) ).
thf(f30769,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_622 ),
inference(constrained_superposition,[],[f1127,f29725]) ).
thf(f30770,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_443 ),
inference(constrained_superposition,[],[f1127,f21540]) ).
thf(f30773,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_74
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f30768]) ).
thf(f30775,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_74
| ~ spl0_443 ),
inference(trivial_inequality_removal,[],[f30770]) ).
thf(f30776,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_74
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f30769]) ).
thf(f30786,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_634 ),
inference(constrained_superposition,[],[f29907,f90]) ).
thf(f30790,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_634 ),
inference(trivial_inequality_removal,[],[f30786]) ).
thf(f30796,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_305
| ~ spl0_634 ),
inference(forward_subsumption_resolution,[],[f30790,f12056]) ).
thf(f30798,plain,
( ~ spl0_451
| ~ spl0_305
| ~ spl0_634 ),
inference(avatar_split_clause,[],[f30796,f29906,f12055,f22321]) ).
thf(f30799,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_629
| ~ spl0_637 ),
inference(constrained_superposition,[],[f29953,f29875]) ).
thf(f30806,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_629
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f30799]) ).
thf(f30807,plain,
( $false
| ~ spl0_399
| ~ spl0_629
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f30806,f19489]) ).
thf(f30808,plain,
( ~ spl0_399
| ~ spl0_629
| ~ spl0_637 ),
inference(avatar_contradiction_clause,[],[f30807]) ).
thf(f30873,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_643 ),
inference(constrained_superposition,[],[f30112,f300]) ).
thf(f30882,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_643 ),
inference(trivial_inequality_removal,[],[f30873]) ).
thf(f30885,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_633 ),
inference(constrained_superposition,[],[f29903,f300]) ).
thf(f30893,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_633 ),
inference(trivial_inequality_removal,[],[f30885]) ).
thf(f30937,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_440 ),
inference(constrained_superposition,[],[f20826,f300]) ).
thf(f30951,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f30937]) ).
thf(f30958,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| spl0_368
| ~ spl0_440 ),
inference(forward_subsumption_resolution,[],[f30951,f15722]) ).
thf(f30963,plain,
( ~ spl0_49
| spl0_438
| spl0_368
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f30958,f20825,f15662,f20811,f552]) ).
thf(f30965,plain,
( ~ spl0_26
| spl0_446
| ~ spl0_74
| ~ spl0_443 ),
inference(avatar_split_clause,[],[f30775,f21539,f1126,f21688,f326]) ).
thf(f30969,definition,
( spl0_662
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_662])],[avatar_definition]) ).
thf(f30971,plain,
( ~ spl0_662
| spl0_446
| ~ spl0_74
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f30776,f29724,f1126,f21688,f30969]) ).
thf(f30974,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f183,f119]) ).
thf(f30977,plain,
( spl0_446
| ~ spl0_288
| ~ spl0_74
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f30773,f13293,f1126,f11199,f21688]) ).
thf(f30990,plain,
( spl0_12
| ~ spl0_5
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f30974,f182,f118,f157]) ).
thf(f30992,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f30,f327]) ).
thf(f30993,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f30992]) ).
thf(f30994,plain,
( ( $true != $true )
| ~ spl0_12
| spl0_375 ),
inference(constrained_superposition,[],[f15720,f158]) ).
thf(f30997,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f30,f158]) ).
thf(f31000,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f30997]) ).
thf(f31001,plain,
( $false
| ~ spl0_12
| spl0_375 ),
inference(trivial_inequality_removal,[],[f30994]) ).
thf(f31002,plain,
( ~ spl0_12
| spl0_375 ),
inference(avatar_contradiction_clause,[],[f31001]) ).
thf(f31004,plain,
( spl0_33
| spl0_393
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f31000,f157,f18444,f368]) ).
thf(f31029,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_288 ),
inference(constrained_superposition,[],[f23721,f11200]) ).
thf(f31032,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_32
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f31029]) ).
thf(f31035,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f31032,f26]) ).
thf(f31039,plain,
( spl0_139
| ~ spl0_32
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f31035,f11199,f365,f4791]) ).
thf(f31060,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f31,f4792]) ).
thf(f31069,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f31060]) ).
thf(f31077,plain,
( spl0_599
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f31069,f4791,f27170]) ).
thf(f31094,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_627 ),
inference(constrained_superposition,[],[f29868,f90]) ).
thf(f31098,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_627 ),
inference(trivial_inequality_removal,[],[f31094]) ).
thf(f31100,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_662 ),
inference(avatar_component_clause,[],[f30969]) ).
thf(f31102,plain,
( spl0_662
| spl0_627 ),
inference(avatar_split_clause,[],[f31098,f29867,f30969]) ).
thf(f31274,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_328
| ~ spl0_440 ),
inference(constrained_superposition,[],[f20826,f13284]) ).
thf(f31284,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f10270,f13284]) ).
thf(f31302,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f31274]) ).
thf(f31314,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f31284]) ).
thf(f31316,plain,
( spl0_372
| ~ spl0_431
| ~ spl0_328
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f31302,f20825,f13283,f20242,f15685]) ).
thf(f31319,plain,
( spl0_394
| spl0_658
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f31314,f13283,f30490,f18698]) ).
thf(f31359,definition,
( spl0_665
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_665])],[avatar_definition]) ).
thf(f31360,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_665 ),
inference(avatar_component_clause,[],[f31359]) ).
thf(f31362,definition,
( spl0_666
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_666])],[avatar_definition]) ).
thf(f31363,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_666 ),
inference(avatar_component_clause,[],[f31362]) ).
thf(f31366,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_666 ),
inference(constrained_superposition,[],[f31363,f301]) ).
thf(f31371,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_666 ),
inference(trivial_inequality_removal,[],[f31366]) ).
thf(f31377,plain,
( spl0_631
| spl0_666 ),
inference(avatar_split_clause,[],[f31371,f31362,f29891]) ).
thf(f31379,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_631
| ~ spl0_647 ),
inference(constrained_superposition,[],[f30253,f29892]) ).
thf(f31381,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_631
| ~ spl0_647 ),
inference(trivial_inequality_removal,[],[f31379]) ).
thf(f31383,plain,
( $false
| ~ spl0_26
| ~ spl0_631
| ~ spl0_647 ),
inference(forward_subsumption_resolution,[],[f31381,f327]) ).
thf(f31384,plain,
( ~ spl0_26
| ~ spl0_631
| ~ spl0_647 ),
inference(avatar_contradiction_clause,[],[f31383]) ).
thf(f31388,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_324
| ~ spl0_328 ),
inference(constrained_superposition,[],[f13216,f13284]) ).
thf(f31391,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f13216,f35]) ).
thf(f31395,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f31391]) ).
thf(f31397,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_324
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f31388]) ).
thf(f31398,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_289
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f31395,f21286]) ).
thf(f31399,plain,
( ~ spl0_401
| ~ spl0_324
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f31397,f13283,f13215,f19547]) ).
thf(f31400,plain,
( ~ spl0_11
| spl0_289
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f31398,f13215,f11203,f154]) ).
thf(f31404,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_430 ),
inference(constrained_superposition,[],[f20240,f34]) ).
thf(f31410,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_430 ),
inference(trivial_inequality_removal,[],[f31404]) ).
thf(f31494,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_435 ),
inference(constrained_superposition,[],[f20653,f34]) ).
thf(f31503,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f31494]) ).
thf(f31507,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_382
| ~ spl0_435 ),
inference(forward_subsumption_resolution,[],[f31503,f16096]) ).
thf(f31508,plain,
( ~ spl0_11
| ~ spl0_382
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f31507,f20652,f16095,f154]) ).
thf(f31512,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_450
| ~ spl0_639 ),
inference(constrained_superposition,[],[f22223,f29997]) ).
thf(f31518,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_450
| ~ spl0_639 ),
inference(trivial_inequality_removal,[],[f31512]) ).
thf(f31523,plain,
( ~ spl0_666
| ~ spl0_450
| ~ spl0_639 ),
inference(avatar_split_clause,[],[f31518,f29996,f22222,f31362]) ).
thf(f31532,plain,
( ( $true != $true )
| ~ spl0_622
| ~ spl0_646 ),
inference(constrained_superposition,[],[f30209,f29725]) ).
thf(f31536,plain,
( $false
| ~ spl0_622
| ~ spl0_646 ),
inference(trivial_inequality_removal,[],[f31532]) ).
thf(f31537,plain,
( ~ spl0_622
| ~ spl0_646 ),
inference(avatar_contradiction_clause,[],[f31536]) ).
thf(f31553,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_662 ),
inference(constrained_superposition,[],[f23721,f31100]) ).
thf(f31555,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_662 ),
inference(trivial_inequality_removal,[],[f31553]) ).
thf(f31557,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_662 ),
inference(forward_subsumption_resolution,[],[f31555,f26]) ).
thf(f31571,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| ~ spl0_32
| ~ spl0_662 ),
inference(constrained_superposition,[],[f24098,f31557]) ).
thf(f31578,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| ~ spl0_32
| ~ spl0_662 ),
inference(trivial_inequality_removal,[],[f31571]) ).
thf(f31613,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_624 ),
inference(constrained_superposition,[],[f24098,f29732]) ).
thf(f31636,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_624 ),
inference(trivial_inequality_removal,[],[f31613]) ).
thf(f31670,plain,
( ~ spl0_373
| spl0_630
| ~ spl0_2
| ~ spl0_624 ),
inference(avatar_split_clause,[],[f31636,f29731,f54,f29878,f15688]) ).
thf(f31690,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| spl0_368
| ~ spl0_372 ),
inference(constrained_superposition,[],[f15686,f23674]) ).
thf(f31699,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_368
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f31690]) ).
thf(f31706,plain,
( ~ spl0_367
| spl0_368
| ~ spl0_372 ),
inference(avatar_split_clause,[],[f31699,f15685,f15662,f15659]) ).
thf(f31763,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_139
| ~ spl0_321 ),
inference(constrained_superposition,[],[f13177,f4792]) ).
thf(f31770,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_139
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f31763]) ).
thf(f31775,plain,
( spl0_597
| ~ spl0_139
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f31770,f13176,f4791,f27139]) ).
thf(f31791,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_599 ),
inference(constrained_superposition,[],[f27171,f301]) ).
thf(f31792,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_599 ),
inference(constrained_superposition,[],[f27171,f91]) ).
thf(f31794,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_599 ),
inference(duplicate_literal_removal,[],[f31791]) ).
thf(f31795,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_599 ),
inference(trivial_inequality_removal,[],[f31794]) ).
thf(f31799,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_599 ),
inference(trivial_inequality_removal,[],[f31792]) ).
thf(f31801,plain,
( spl0_394
| spl0_66
| ~ spl0_599 ),
inference(avatar_split_clause,[],[f31795,f27170,f782,f18698]) ).
thf(f31806,plain,
( spl0_331
| spl0_330
| spl0_301 ),
inference(avatar_split_clause,[],[f29714,f11518,f13290,f13293]) ).
thf(f31815,plain,
( ~ spl0_38
| spl0_443
| ~ spl0_655 ),
inference(avatar_split_clause,[],[f30511,f30331,f21539,f420]) ).
thf(f31817,plain,
( spl0_29
| ~ spl0_628
| ~ spl0_2
| ~ spl0_32
| ~ spl0_662 ),
inference(avatar_split_clause,[],[f31578,f30969,f365,f54,f29870,f338]) ).
thf(f31820,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_213
| spl0_368 ),
inference(forward_subsumption_resolution,[],[f24881,f26]) ).
thf(f31824,plain,
( spl0_632
| ~ spl0_38
| ~ spl0_139
| ~ spl0_643 ),
inference(avatar_split_clause,[],[f30882,f30111,f4791,f420,f29896]) ).
thf(f31833,plain,
( spl0_55
| spl0_293
| ~ spl0_599 ),
inference(avatar_split_clause,[],[f31799,f27170,f11218,f681]) ).
thf(f31839,plain,
( ~ spl0_373
| spl0_29
| ~ spl0_2
| spl0_368 ),
inference(avatar_split_clause,[],[f24137,f15662,f54,f338,f15688]) ).
thf(f31847,plain,
( ~ spl0_373
| spl0_29
| ~ spl0_213
| spl0_368 ),
inference(avatar_split_clause,[],[f31820,f15662,f7023,f338,f15688]) ).
thf(f31855,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_368
| ~ spl0_633 ),
inference(forward_subsumption_resolution,[],[f30893,f23674]) ).
thf(f31858,definition,
( spl0_672
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_672])],[avatar_definition]) ).
thf(f31859,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_672 ),
inference(avatar_component_clause,[],[f31858]) ).
thf(f31860,plain,
( spl0_672
| spl0_375
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f24380,f15655,f15719,f31858]) ).
thf(f31861,plain,
( ~ spl0_38
| spl0_632
| spl0_368
| ~ spl0_633 ),
inference(avatar_split_clause,[],[f31855,f29902,f15662,f29896,f420]) ).
thf(f31871,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_2
| spl0_29 ),
inference(constrained_superposition,[],[f3313,f27725]) ).
thf(f31873,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| spl0_29 ),
inference(trivial_inequality_removal,[],[f31871]) ).
thf(f31875,plain,
( spl0_312
| ~ spl0_2
| spl0_29 ),
inference(avatar_split_clause,[],[f31873,f338,f54,f12782]) ).
thf(f32018,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_375 ),
inference(constrained_superposition,[],[f30,f16529]) ).
thf(f32019,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_375 ),
inference(trivial_inequality_removal,[],[f32018]) ).
thf(f32021,plain,
( spl0_405
| spl0_33
| ~ spl0_375 ),
inference(avatar_split_clause,[],[f32019,f15719,f368,f19666]) ).
thf(f32057,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_35
| ~ spl0_330 ),
inference(constrained_superposition,[],[f627,f13291]) ).
thf(f32065,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_330
| ~ spl0_460 ),
inference(constrained_superposition,[],[f24423,f13291]) ).
thf(f32076,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_35
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f32057]) ).
thf(f32080,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_330
| ~ spl0_460 ),
inference(trivial_inequality_removal,[],[f32065]) ).
thf(f32098,definition,
( spl0_673
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_673])],[avatar_definition]) ).
thf(f32099,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_673 ),
inference(avatar_component_clause,[],[f32098]) ).
thf(f32186,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_330
| ~ spl0_465 ),
inference(constrained_superposition,[],[f24740,f13291]) ).
thf(f32191,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_330
| ~ spl0_465 ),
inference(trivial_inequality_removal,[],[f32186]) ).
thf(f32265,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_623 ),
inference(constrained_superposition,[],[f1127,f29729]) ).
thf(f32266,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_298 ),
inference(constrained_superposition,[],[f1127,f19541]) ).
thf(f32279,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_74
| ~ spl0_298 ),
inference(trivial_inequality_removal,[],[f32266]) ).
thf(f32283,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_74
| ~ spl0_623 ),
inference(trivial_inequality_removal,[],[f32265]) ).
thf(f32285,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_74
| ~ spl0_623
| spl0_630 ),
inference(forward_subsumption_resolution,[],[f32283,f29956]) ).
thf(f32287,plain,
( $false
| ~ spl0_74
| ~ spl0_375
| ~ spl0_623
| spl0_630 ),
inference(forward_subsumption_resolution,[],[f32285,f16529]) ).
thf(f32288,plain,
( ~ spl0_74
| ~ spl0_375
| ~ spl0_623
| spl0_630 ),
inference(avatar_contradiction_clause,[],[f32287]) ).
thf(f32290,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_74
| ~ spl0_631 ),
inference(constrained_superposition,[],[f1127,f29892]) ).
thf(f32293,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_74
| ~ spl0_631 ),
inference(trivial_inequality_removal,[],[f32290]) ).
thf(f32295,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_26
| ~ spl0_74
| ~ spl0_631 ),
inference(forward_subsumption_resolution,[],[f32293,f327]) ).
thf(f32296,plain,
( $false
| ~ spl0_26
| ~ spl0_74
| spl0_630
| ~ spl0_631 ),
inference(forward_subsumption_resolution,[],[f32295,f29956]) ).
thf(f32297,plain,
( ~ spl0_26
| ~ spl0_74
| spl0_630
| ~ spl0_631 ),
inference(avatar_contradiction_clause,[],[f32296]) ).
thf(f32362,definition,
( spl0_677
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_677])],[avatar_definition]) ).
thf(f32363,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_677 ),
inference(avatar_component_clause,[],[f32362]) ).
thf(f32387,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_465
| ~ spl0_621 ),
inference(constrained_superposition,[],[f24740,f29722]) ).
thf(f32414,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_465
| ~ spl0_621 ),
inference(trivial_inequality_removal,[],[f32387]) ).
thf(f32422,plain,
( ~ spl0_666
| ~ spl0_465
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f32414,f29721,f24739,f31362]) ).
thf(f32423,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_631
| ~ spl0_645 ),
inference(constrained_superposition,[],[f30175,f29892]) ).
thf(f32428,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_631
| ~ spl0_645 ),
inference(trivial_inequality_removal,[],[f32423]) ).
thf(f32442,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_623
| ~ spl0_645 ),
inference(constrained_superposition,[],[f30175,f29729]) ).
thf(f32446,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_623
| ~ spl0_645 ),
inference(trivial_inequality_removal,[],[f32442]) ).
thf(f32449,plain,
( $false
| ~ spl0_446
| ~ spl0_623
| ~ spl0_645 ),
inference(forward_subsumption_resolution,[],[f32446,f21689]) ).
thf(f32450,plain,
( ~ spl0_446
| ~ spl0_623
| ~ spl0_645 ),
inference(avatar_contradiction_clause,[],[f32449]) ).
thf(f32453,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_372
| ~ spl0_624 ),
inference(constrained_superposition,[],[f15686,f29732]) ).
thf(f32485,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_372
| ~ spl0_624 ),
inference(trivial_inequality_removal,[],[f32453]) ).
thf(f32493,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_372
| ~ spl0_624 ),
inference(constrained_superposition,[],[f32485,f36]) ).
thf(f32496,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_372
| ~ spl0_624 ),
inference(trivial_inequality_removal,[],[f32493]) ).
thf(f32498,definition,
( spl0_678
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_678])],[avatar_definition]) ).
thf(f32499,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_678 ),
inference(avatar_component_clause,[],[f32498]) ).
thf(f32501,plain,
( spl0_678
| spl0_396
| ~ spl0_372
| ~ spl0_624 ),
inference(avatar_split_clause,[],[f32496,f29731,f15685,f18910,f32498]) ).
thf(f32502,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_433
| ~ spl0_678 ),
inference(constrained_superposition,[],[f20329,f32499]) ).
thf(f32503,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_294
| ~ spl0_678 ),
inference(constrained_superposition,[],[f11235,f32499]) ).
thf(f32506,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_294
| ~ spl0_678 ),
inference(trivial_inequality_removal,[],[f32503]) ).
thf(f32508,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_433
| ~ spl0_678 ),
inference(trivial_inequality_removal,[],[f32502]) ).
thf(f32510,plain,
( $false
| ~ spl0_294
| ~ spl0_630
| ~ spl0_678 ),
inference(forward_subsumption_resolution,[],[f32506,f29879]) ).
thf(f32511,plain,
( ~ spl0_294
| ~ spl0_630
| ~ spl0_678 ),
inference(avatar_contradiction_clause,[],[f32510]) ).
thf(f32512,plain,
( $false
| ~ spl0_433
| ~ spl0_632
| ~ spl0_678 ),
inference(forward_subsumption_resolution,[],[f32508,f29897]) ).
thf(f32513,plain,
( ~ spl0_433
| ~ spl0_632
| ~ spl0_678 ),
inference(avatar_contradiction_clause,[],[f32512]) ).
thf(f32515,plain,
( ~ spl0_288
| spl0_29
| ~ spl0_74
| ~ spl0_298 ),
inference(avatar_split_clause,[],[f32279,f11447,f1126,f338,f11199]) ).
thf(f32516,plain,
( ~ spl0_29
| ~ spl0_631
| ~ spl0_645 ),
inference(avatar_split_clause,[],[f32428,f30174,f29891,f338]) ).
thf(f32517,plain,
( ~ spl0_367
| ~ spl0_330
| ~ spl0_465 ),
inference(avatar_split_clause,[],[f32191,f24739,f13290,f15659]) ).
thf(f32526,plain,
( spl0_33
| spl0_32
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f30993,f326,f365,f368]) ).
thf(f32637,definition,
( spl0_680
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_680])],[avatar_definition]) ).
thf(f32638,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_680 ),
inference(avatar_component_clause,[],[f32637]) ).
thf(f32644,plain,
( spl0_371
| spl0_54
| spl0_368 ),
inference(avatar_split_clause,[],[f24465,f15662,f677,f15677]) ).
thf(f32646,plain,
( spl0_140
| ~ spl0_11
| ~ spl0_430 ),
inference(avatar_split_clause,[],[f31410,f20239,f154,f4794]) ).
thf(f32673,definition,
( spl0_681
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_681])],[avatar_definition]) ).
thf(f32674,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_681 ),
inference(avatar_component_clause,[],[f32673]) ).
thf(f32684,plain,
( $false
| ~ spl0_33
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f11219,f369]) ).
thf(f32685,plain,
( ~ spl0_33
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f32684]) ).
thf(f32690,plain,
( ~ spl0_431
| ~ spl0_285
| ~ spl0_330
| ~ spl0_460 ),
inference(avatar_split_clause,[],[f32080,f24422,f13290,f11166,f20242]) ).
thf(f32691,plain,
( ~ spl0_403
| ~ spl0_373
| spl0_298
| ~ spl0_35
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f32076,f13290,f375,f11447,f15688,f19558]) ).
thf(f32765,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_130
| ~ spl0_394 ),
inference(constrained_superposition,[],[f3369,f18699]) ).
thf(f32772,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_130
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f32765]) ).
thf(f32776,plain,
( $false
| ~ spl0_29
| ~ spl0_130
| ~ spl0_394 ),
inference(forward_subsumption_resolution,[],[f32772,f339]) ).
thf(f32777,plain,
( ~ spl0_29
| ~ spl0_130
| ~ spl0_394 ),
inference(avatar_contradiction_clause,[],[f32776]) ).
thf(f32786,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_383
| ~ spl0_443 ),
inference(constrained_superposition,[],[f16099,f21540]) ).
thf(f32788,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_383
| ~ spl0_443 ),
inference(trivial_inequality_removal,[],[f32786]) ).
thf(f32790,plain,
( $false
| ~ spl0_29
| ~ spl0_383
| ~ spl0_443 ),
inference(forward_subsumption_resolution,[],[f32788,f339]) ).
thf(f32791,plain,
( ~ spl0_29
| ~ spl0_383
| ~ spl0_443 ),
inference(avatar_contradiction_clause,[],[f32790]) ).
thf(f32793,plain,
( $false
| ~ spl0_291
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f13294,f11211]) ).
thf(f32794,plain,
( ~ spl0_291
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f32793]) ).
thf(f32796,plain,
( $false
| ~ spl0_288
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f11200,f11211]) ).
thf(f32797,plain,
( ~ spl0_288
| ~ spl0_291 ),
inference(avatar_contradiction_clause,[],[f32796]) ).
thf(f32806,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f30,f52]) ).
thf(f32807,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ z @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f32806]) ).
thf(f32810,plain,
( spl0_47
| spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f32807,f51,f118,f519]) ).
thf(f32828,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f138,f91]) ).
thf(f32838,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f32828]) ).
thf(f32841,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f32838,f369]) ).
thf(f32842,plain,
( ~ spl0_10
| spl0_416
| ~ spl0_7
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f32841,f368,f137,f19953,f151]) ).
thf(f32860,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_31
| ~ spl0_298 ),
inference(constrained_superposition,[],[f352,f19541]) ).
thf(f32863,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_31
| ~ spl0_298 ),
inference(trivial_inequality_removal,[],[f32860]) ).
thf(f32864,plain,
( $false
| ~ spl0_31
| ~ spl0_140
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f32863,f21685]) ).
thf(f32865,plain,
( ~ spl0_31
| ~ spl0_140
| ~ spl0_298 ),
inference(avatar_contradiction_clause,[],[f32864]) ).
thf(f32886,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f380,f28]) ).
thf(f32892,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f32886]) ).
thf(f32922,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f223,f4792]) ).
thf(f32935,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f32922]) ).
thf(f32950,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_31
| ~ spl0_368 ),
inference(constrained_superposition,[],[f352,f15663]) ).
thf(f32951,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ~ spl0_126
| ~ spl0_368 ),
inference(constrained_superposition,[],[f2933,f15663]) ).
thf(f32953,plain,
( ( z
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_126
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f32951]) ).
thf(f32955,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_31
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f32950]) ).
thf(f32956,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_126
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f32953,f26]) ).
thf(f32958,plain,
( $false
| ~ spl0_31
| ~ spl0_368
| ~ spl0_446 ),
inference(forward_subsumption_resolution,[],[f32955,f21689]) ).
thf(f32959,plain,
( ~ spl0_31
| ~ spl0_368
| ~ spl0_446 ),
inference(avatar_contradiction_clause,[],[f32958]) ).
thf(f32960,plain,
( $false
| ~ spl0_126
| ~ spl0_368
| ~ spl0_446 ),
inference(forward_subsumption_resolution,[],[f32956,f21689]) ).
thf(f32961,plain,
( ~ spl0_126
| ~ spl0_368
| ~ spl0_446 ),
inference(avatar_contradiction_clause,[],[f32960]) ).
thf(f33030,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f55,f34]) ).
thf(f33032,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f33030]) ).
thf(f33038,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_330
| ~ spl0_432 ),
inference(constrained_superposition,[],[f20275,f13291]) ).
thf(f33059,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_330
| ~ spl0_432 ),
inference(trivial_inequality_removal,[],[f33038]) ).
thf(f33066,plain,
( ~ spl0_373
| ~ spl0_330
| ~ spl0_432 ),
inference(avatar_split_clause,[],[f33059,f20274,f13290,f15688]) ).
thf(f33130,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_47 ),
inference(constrained_superposition,[],[f520,f327]) ).
thf(f33136,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_26
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f33130]) ).
thf(f33144,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_26
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f33136,f339]) ).
thf(f33145,plain,
( $false
| spl0_14
| ~ spl0_26
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f33144,f21430]) ).
thf(f33146,plain,
( spl0_14
| ~ spl0_26
| ~ spl0_29
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f33145]) ).
thf(f33152,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_330 ),
inference(constrained_superposition,[],[f33032,f13291]) ).
thf(f33159,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f33152]) ).
thf(f33167,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_31
| ~ spl0_330
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f33159,f32955]) ).
thf(f33169,plain,
( ~ spl0_285
| ~ spl0_2
| ~ spl0_31
| ~ spl0_330
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f33167,f15662,f13290,f351,f54,f11166]) ).
thf(f33172,plain,
( spl0_42
| spl0_404
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f32935,f4791,f19562,f466]) ).
thf(f33221,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_331
| ~ spl0_383 ),
inference(constrained_superposition,[],[f16099,f13294]) ).
thf(f33222,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_126
| ~ spl0_331 ),
inference(constrained_superposition,[],[f2933,f13294]) ).
thf(f33225,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_126
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f33222]) ).
thf(f33226,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_331
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f33221]) ).
thf(f33233,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_47
| ~ spl0_331 ),
inference(constrained_superposition,[],[f520,f13294]) ).
thf(f33241,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_47
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f33233]) ).
thf(f33258,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_621 ),
inference(constrained_superposition,[],[f21600,f29722]) ).
thf(f33261,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_7
| ~ spl0_621 ),
inference(constrained_superposition,[],[f138,f29722]) ).
thf(f33264,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_621 ),
inference(constrained_superposition,[],[f47,f29722]) ).
thf(f33266,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_216
| ~ spl0_621 ),
inference(constrained_superposition,[],[f8567,f29722]) ).
thf(f33268,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_621 ),
inference(trivial_inequality_removal,[],[f33264]) ).
thf(f33273,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_216
| ~ spl0_621 ),
inference(trivial_inequality_removal,[],[f33266]) ).
thf(f33277,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_621 ),
inference(trivial_inequality_removal,[],[f33258]) ).
thf(f33278,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_7
| ~ spl0_621 ),
inference(trivial_inequality_removal,[],[f33261]) ).
thf(f33279,plain,
( spl0_680
| spl0_371
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f33268,f29721,f15677,f32637]) ).
thf(f33282,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_216
| ~ spl0_621 ),
inference(forward_subsumption_resolution,[],[f33273,f26]) ).
thf(f33285,plain,
( spl0_640
| ~ spl0_373
| ~ spl0_402
| ~ spl0_3
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f33277,f29721,f71,f19552,f15688,f30094]) ).
thf(f33286,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_7
| spl0_375
| ~ spl0_621 ),
inference(forward_subsumption_resolution,[],[f33278,f15720]) ).
thf(f33288,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_216
| ~ spl0_621 ),
inference(forward_subsumption_resolution,[],[f33282,f26]) ).
thf(f33290,plain,
( spl0_634
| ~ spl0_628
| ~ spl0_7
| spl0_375
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f33286,f29721,f15719,f137,f29870,f29906]) ).
thf(f33291,plain,
( spl0_640
| spl0_371
| ~ spl0_373
| ~ spl0_216
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f33288,f29721,f7088,f15688,f15677,f30094]) ).
thf(f33308,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_31
| ~ spl0_368 ),
inference(constrained_superposition,[],[f32955,f52]) ).
thf(f33310,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_1
| spl0_8 ),
inference(constrained_superposition,[],[f20077,f52]) ).
thf(f33312,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_1
| spl0_8 ),
inference(trivial_inequality_removal,[],[f33310]) ).
thf(f33314,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_31
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f33308]) ).
thf(f33317,plain,
( $false
| ~ spl0_1
| spl0_8
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f33312,f21430]) ).
thf(f33318,plain,
( ~ spl0_1
| spl0_8
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f33317]) ).
thf(f33319,plain,
( spl0_371
| ~ spl0_1
| ~ spl0_31
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f33314,f15662,f351,f51,f15677]) ).
thf(f33320,plain,
( spl0_371
| ~ spl0_140
| ~ spl0_47
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f33241,f13293,f519,f4794,f15677]) ).
thf(f33321,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_126
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f33225,f26]) ).
thf(f33322,plain,
( ~ spl0_140
| ~ spl0_331
| ~ spl0_383 ),
inference(avatar_split_clause,[],[f33226,f16098,f13293,f4794]) ).
thf(f33323,plain,
( ~ spl0_140
| ~ spl0_126
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f33321,f13293,f2932,f4794]) ).
thf(f33337,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f55,f34]) ).
thf(f33338,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f33337]) ).
thf(f33411,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f783,f300]) ).
thf(f33412,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_66
| ~ spl0_139 ),
inference(constrained_superposition,[],[f783,f4792]) ).
thf(f33414,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f783,f35]) ).
thf(f33417,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f33414]) ).
thf(f33419,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f33411]) ).
thf(f33420,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_66
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f33412]) ).
thf(f33421,plain,
( spl0_600
| ~ spl0_66
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f33420,f4791,f782,f27174]) ).
thf(f33425,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_600 ),
inference(constrained_superposition,[],[f27175,f91]) ).
thf(f33426,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_600 ),
inference(constrained_superposition,[],[f27175,f35]) ).
thf(f33429,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_600 ),
inference(trivial_inequality_removal,[],[f33426]) ).
thf(f33430,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_600 ),
inference(trivial_inequality_removal,[],[f33425]) ).
thf(f33452,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_629
| ~ spl0_677 ),
inference(constrained_superposition,[],[f32363,f29875]) ).
thf(f33453,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_640
| ~ spl0_677 ),
inference(constrained_superposition,[],[f32363,f30095]) ).
thf(f33456,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_629
| ~ spl0_677 ),
inference(trivial_inequality_removal,[],[f33452]) ).
thf(f33458,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_640
| ~ spl0_677 ),
inference(trivial_inequality_removal,[],[f33453]) ).
thf(f33460,plain,
( $false
| ~ spl0_293
| ~ spl0_629
| ~ spl0_677 ),
inference(forward_subsumption_resolution,[],[f33456,f11219]) ).
thf(f33461,plain,
( ~ spl0_293
| ~ spl0_629
| ~ spl0_677 ),
inference(avatar_contradiction_clause,[],[f33460]) ).
thf(f33463,plain,
( $false
| ~ spl0_289
| ~ spl0_640
| ~ spl0_677 ),
inference(forward_subsumption_resolution,[],[f33458,f11204]) ).
thf(f33464,plain,
( ~ spl0_289
| ~ spl0_640
| ~ spl0_677 ),
inference(avatar_contradiction_clause,[],[f33463]) ).
thf(f33470,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_368 ),
inference(constrained_superposition,[],[f1127,f15663]) ).
thf(f33490,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_74
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f33470]) ).
thf(f33509,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_672 ),
inference(constrained_superposition,[],[f31859,f300]) ).
thf(f33515,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_672 ),
inference(trivial_inequality_removal,[],[f33509]) ).
thf(f33537,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_637
| ~ spl0_640 ),
inference(constrained_superposition,[],[f29953,f30095]) ).
thf(f33543,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_637
| ~ spl0_640 ),
inference(trivial_inequality_removal,[],[f33537]) ).
thf(f33545,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_371 ),
inference(avatar_component_clause,[],[f15677]) ).
thf(f33571,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_16
| ~ spl0_621 ),
inference(constrained_superposition,[],[f210,f29722]) ).
thf(f33578,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_16
| ~ spl0_621 ),
inference(trivial_inequality_removal,[],[f33571]) ).
thf(f33588,plain,
( spl0_662
| ~ spl0_401
| ~ spl0_16
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f33578,f29721,f209,f19547,f30969]) ).
thf(f33690,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_252
| ~ spl0_640 ),
inference(constrained_superposition,[],[f9636,f30095]) ).
thf(f33698,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_252
| ~ spl0_640 ),
inference(trivial_inequality_removal,[],[f33690]) ).
thf(f33703,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_407 ),
inference(constrained_superposition,[],[f19868,f301]) ).
thf(f33708,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f33703]) ).
thf(f33716,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f33419,f35]) ).
thf(f33717,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f33716]) ).
thf(f33735,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f19563,f300]) ).
thf(f33736,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f19563,f90]) ).
thf(f33737,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f19563,f34]) ).
thf(f33741,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f33737]) ).
thf(f33743,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f33736]) ).
thf(f33744,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f33735]) ).
thf(f33766,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_673 ),
inference(constrained_superposition,[],[f32099,f90]) ).
thf(f33767,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_673 ),
inference(constrained_superposition,[],[f32099,f34]) ).
thf(f33774,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_673 ),
inference(trivial_inequality_removal,[],[f33766]) ).
thf(f33775,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_673 ),
inference(trivial_inequality_removal,[],[f33767]) ).
thf(f33952,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_34
| ~ spl0_252
| ~ spl0_640 ),
inference(forward_subsumption_resolution,[],[f33698,f373]) ).
thf(f33963,plain,
( spl0_629
| ~ spl0_34
| ~ spl0_252
| ~ spl0_640 ),
inference(avatar_split_clause,[],[f33952,f30094,f9635,f372,f29874]) ).
thf(f33965,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_631
| ~ spl0_637 ),
inference(constrained_superposition,[],[f29953,f29892]) ).
thf(f33977,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_631
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f33965]) ).
thf(f33994,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_631
| ~ spl0_637 ),
inference(constrained_superposition,[],[f33977,f92]) ).
thf(f33995,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_631
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f33994]) ).
thf(f33996,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_631
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f33995,f26]) ).
thf(f34008,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_7
| ~ spl0_631
| ~ spl0_637 ),
inference(constrained_superposition,[],[f138,f33996]) ).
thf(f34011,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| ~ spl0_631
| ~ spl0_637 ),
inference(constrained_superposition,[],[f33338,f33996]) ).
thf(f34012,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_631
| ~ spl0_637 ),
inference(constrained_superposition,[],[f47,f33996]) ).
thf(f34019,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_631
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f34012]) ).
thf(f34029,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_631
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f34011]) ).
thf(f34032,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_631
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f34008]) ).
thf(f34041,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| spl0_371
| ~ spl0_631
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f34019,f33545]) ).
thf(f34042,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| ~ spl0_31
| ~ spl0_368
| ~ spl0_631
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f34029,f32955]) ).
thf(f34043,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_7
| spl0_375
| ~ spl0_631
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f34032,f15720]) ).
thf(f34044,plain,
( spl0_61
| spl0_371
| ~ spl0_631
| ~ spl0_637 ),
inference(avatar_split_clause,[],[f34041,f29952,f29891,f15677,f763]) ).
thf(f34045,plain,
( ~ spl0_38
| ~ spl0_2
| ~ spl0_31
| ~ spl0_368
| ~ spl0_631
| ~ spl0_637 ),
inference(avatar_split_clause,[],[f34042,f29952,f29891,f15662,f351,f54,f420]) ).
thf(f34046,plain,
( spl0_465
| ~ spl0_38
| ~ spl0_7
| spl0_375
| ~ spl0_631
| ~ spl0_637 ),
inference(avatar_split_clause,[],[f34043,f29952,f29891,f15719,f137,f420,f24739]) ).
thf(f34049,plain,
( spl0_39
| ~ spl0_40
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f33717,f782,f426,f423]) ).
thf(f34055,plain,
( spl0_129
| spl0_34
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f33417,f782,f372,f3327]) ).
thf(f34061,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f32892,f28]) ).
thf(f34063,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f34061]) ).
thf(f34065,plain,
( spl0_97
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f34063,f379,f1987]) ).
thf(f34113,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_443
| ~ spl0_469 ),
inference(constrained_superposition,[],[f24943,f21540]) ).
thf(f34123,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_443
| ~ spl0_469 ),
inference(trivial_inequality_removal,[],[f34113]) ).
thf(f34127,plain,
( ~ spl0_371
| ~ spl0_637
| ~ spl0_640 ),
inference(avatar_split_clause,[],[f33543,f30094,f29952,f15677]) ).
thf(f34128,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_443
| ~ spl0_469 ),
inference(forward_subsumption_resolution,[],[f34123,f327]) ).
thf(f34129,plain,
( spl0_371
| ~ spl0_26
| ~ spl0_443
| ~ spl0_469 ),
inference(avatar_split_clause,[],[f34128,f24942,f21539,f326,f15677]) ).
thf(f34176,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f318,f13284]) ).
thf(f34181,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f223,f13284]) ).
thf(f34187,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f31,f13284]) ).
thf(f34189,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f34181]) ).
thf(f34192,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f34176]) ).
thf(f34207,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f34187]) ).
thf(f34215,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_330
| ~ spl0_404 ),
inference(constrained_superposition,[],[f19563,f13291]) ).
thf(f34224,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_330
| ~ spl0_416 ),
inference(constrained_superposition,[],[f19954,f13291]) ).
thf(f34229,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f47,f13291]) ).
thf(f34230,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f42,f13291]) ).
thf(f34231,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_216
| ~ spl0_330 ),
inference(constrained_superposition,[],[f8567,f13291]) ).
thf(f34232,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f31,f13291]) ).
thf(f34237,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_216
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f34231]) ).
thf(f34239,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f34229]) ).
thf(f34241,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f34230]) ).
thf(f34246,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_330
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f34224]) ).
thf(f34250,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f34232]) ).
thf(f34253,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_330
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f34215]) ).
thf(f34254,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_330
| spl0_375
| ~ spl0_416 ),
inference(forward_subsumption_resolution,[],[f34246,f15720]) ).
thf(f34255,plain,
( ~ spl0_320
| ~ spl0_330
| spl0_375
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f34254,f19953,f15719,f13290,f13169]) ).
thf(f34383,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_634 ),
inference(constrained_superposition,[],[f29907,f34]) ).
thf(f34388,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_634 ),
inference(trivial_inequality_removal,[],[f34383]) ).
thf(f34392,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_369 ),
inference(constrained_superposition,[],[f15669,f300]) ).
thf(f34395,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_369 ),
inference(constrained_superposition,[],[f15669,f90]) ).
thf(f34399,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f34395]) ).
thf(f34401,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f34392]) ).
thf(f34446,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_330
| ~ spl0_404 ),
inference(constrained_superposition,[],[f34253,f34]) ).
thf(f34455,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_330
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f34446]) ).
thf(f34499,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_444 ),
inference(constrained_superposition,[],[f21544,f91]) ).
thf(f34505,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_444 ),
inference(trivial_inequality_removal,[],[f34499]) ).
thf(f34510,definition,
( spl0_688
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_688])],[avatar_definition]) ).
thf(f34511,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_688 ),
inference(avatar_component_clause,[],[f34510]) ).
thf(f34512,plain,
( spl0_688
| spl0_399
| ~ spl0_444 ),
inference(avatar_split_clause,[],[f34505,f21543,f19488,f34510]) ).
thf(f34519,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_688 ),
inference(constrained_superposition,[],[f34511,f35]) ).
thf(f34525,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_688 ),
inference(trivial_inequality_removal,[],[f34519]) ).
thf(f34566,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_328
| ~ spl0_330 ),
inference(constrained_superposition,[],[f34207,f13291]) ).
thf(f34572,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328
| ~ spl0_330 ),
inference(duplicate_literal_removal,[],[f34566]) ).
thf(f34573,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_328
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f34572]) ).
thf(f34580,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_328
| ~ spl0_330 ),
inference(constrained_superposition,[],[f34573,f13284]) ).
thf(f34581,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328
| ~ spl0_330 ),
inference(constrained_superposition,[],[f34573,f301]) ).
thf(f34582,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_328
| ~ spl0_330 ),
inference(constrained_superposition,[],[f34573,f91]) ).
thf(f34583,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_328
| ~ spl0_330 ),
inference(constrained_superposition,[],[f34573,f35]) ).
thf(f34584,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f34581]) ).
thf(f34585,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f34582]) ).
thf(f34586,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_328
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f34580]) ).
thf(f34589,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f34583]) ).
thf(f34590,plain,
( spl0_372
| ~ spl0_328
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f34586,f13290,f13283,f15685]) ).
thf(f34595,plain,
( ~ spl0_402
| spl0_630
| ~ spl0_634 ),
inference(avatar_split_clause,[],[f34388,f29906,f29878,f19552]) ).
thf(f34616,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_397
| ~ spl0_622 ),
inference(constrained_superposition,[],[f18944,f29725]) ).
thf(f34626,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_397
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f34616]) ).
thf(f34632,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_397
| ~ spl0_622 ),
inference(constrained_superposition,[],[f34626,f92]) ).
thf(f34633,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_397
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f34632]) ).
thf(f34634,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_397
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f34633,f26]) ).
thf(f34640,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_129
| ~ spl0_397
| ~ spl0_622 ),
inference(constrained_superposition,[],[f3328,f34634]) ).
thf(f34646,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_397
| ~ spl0_622 ),
inference(constrained_superposition,[],[f33338,f34634]) ).
thf(f34658,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_129
| ~ spl0_397
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f34640]) ).
thf(f34662,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| ~ spl0_397
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f34646]) ).
thf(f34670,plain,
( ~ spl0_628
| ~ spl0_129
| ~ spl0_397
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f34658,f29724,f18943,f3327,f29870]) ).
thf(f34672,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_29
| ~ spl0_397
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f34662,f3313]) ).
thf(f34679,plain,
( ~ spl0_628
| ~ spl0_2
| spl0_29
| ~ spl0_397
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f34672,f29724,f18943,f338,f54,f29870]) ).
thf(f34683,plain,
( spl0_371
| ~ spl0_40
| ~ spl0_11
| ~ spl0_688 ),
inference(avatar_split_clause,[],[f34525,f34510,f154,f426,f15677]) ).
thf(f34686,plain,
( ~ spl0_48
| spl0_293
| ~ spl0_600 ),
inference(avatar_split_clause,[],[f33430,f27174,f11218,f549]) ).
thf(f34688,plain,
( spl0_298
| spl0_444
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f34192,f13283,f21543,f11447]) ).
thf(f34690,definition,
( spl0_692
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_692])],[avatar_definition]) ).
thf(f34691,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_692 ),
inference(avatar_component_clause,[],[f34690]) ).
thf(f34692,plain,
( spl0_692
| spl0_298
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f33744,f19562,f11447,f34690]) ).
thf(f34693,plain,
( spl0_29
| ~ spl0_375
| ~ spl0_74
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f33490,f15662,f1126,f15719,f338]) ).
thf(f34699,plain,
( spl0_289
| ~ spl0_40
| ~ spl0_600 ),
inference(avatar_split_clause,[],[f33429,f27174,f426,f11203]) ).
thf(f34701,definition,
( spl0_694
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_694])],[avatar_definition]) ).
thf(f34702,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_694 ),
inference(avatar_component_clause,[],[f34701]) ).
thf(f34703,plain,
( spl0_694
| spl0_293
| ~ spl0_328
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f34585,f13290,f13283,f11218,f34701]) ).
thf(f34705,plain,
( ~ spl0_38
| spl0_394
| spl0_450
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f33708,f19867,f22222,f18698,f420]) ).
thf(f34707,plain,
( spl0_450
| spl0_394
| ~ spl0_328
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f34584,f13290,f13283,f18698,f22222]) ).
thf(f34708,plain,
( spl0_440
| spl0_293
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f34189,f13283,f11218,f20825]) ).
thf(f34710,definition,
( spl0_695
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_695])],[avatar_definition]) ).
thf(f34711,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_695 ),
inference(avatar_component_clause,[],[f34710]) ).
thf(f34714,definition,
( spl0_696
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_696])],[avatar_definition]) ).
thf(f34715,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_696 ),
inference(avatar_component_clause,[],[f34714]) ).
thf(f34716,plain,
( spl0_289
| spl0_696
| ~ spl0_328
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f34589,f13290,f13283,f34714,f11203]) ).
thf(f34796,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_368
| ~ spl0_393 ),
inference(constrained_superposition,[],[f18445,f15663]) ).
thf(f34802,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_368
| ~ spl0_393 ),
inference(trivial_inequality_removal,[],[f34796]) ).
thf(f34808,plain,
( $false
| ~ spl0_12
| ~ spl0_368
| ~ spl0_393 ),
inference(forward_subsumption_resolution,[],[f34802,f158]) ).
thf(f34809,plain,
( ~ spl0_12
| ~ spl0_368
| ~ spl0_393 ),
inference(avatar_contradiction_clause,[],[f34808]) ).
thf(f34816,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328
| ~ spl0_696 ),
inference(constrained_superposition,[],[f34715,f13284]) ).
thf(f34818,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_696 ),
inference(constrained_superposition,[],[f34715,f91]) ).
thf(f34822,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328
| ~ spl0_696 ),
inference(trivial_inequality_removal,[],[f34816]) ).
thf(f34823,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_696 ),
inference(trivial_inequality_removal,[],[f34818]) ).
thf(f34826,plain,
( ~ spl0_402
| ~ spl0_328
| ~ spl0_696 ),
inference(avatar_split_clause,[],[f34822,f34714,f13283,f19552]) ).
thf(f34833,definition,
( spl0_698
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_698])],[avatar_definition]) ).
thf(f34834,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_698 ),
inference(avatar_component_clause,[],[f34833]) ).
thf(f34835,plain,
( spl0_140
| spl0_698
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f33741,f19562,f34833,f4794]) ).
thf(f34837,plain,
( ~ spl0_10
| ~ spl0_431
| spl0_375
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f34399,f15668,f15719,f20242,f151]) ).
thf(f34838,plain,
( ~ spl0_11
| spl0_293
| ~ spl0_696 ),
inference(avatar_split_clause,[],[f34823,f34714,f11218,f154]) ).
thf(f34840,plain,
( spl0_432
| ~ spl0_40
| spl0_140
| ~ spl0_673 ),
inference(avatar_split_clause,[],[f33775,f32098,f4794,f426,f20274]) ).
thf(f34841,plain,
( spl0_288
| ~ spl0_48
| spl0_430
| ~ spl0_673 ),
inference(avatar_split_clause,[],[f33774,f32098,f20239,f549,f11199]) ).
thf(f34843,definition,
( spl0_699
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_699])],[avatar_definition]) ).
thf(f34844,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_699 ),
inference(avatar_component_clause,[],[f34843]) ).
thf(f34845,plain,
( spl0_288
| spl0_699
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f33743,f19562,f34843,f11199]) ).
thf(f34863,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_243
| ~ spl0_293 ),
inference(constrained_superposition,[],[f8644,f11219]) ).
thf(f34866,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_243
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f34863]) ).
thf(f34867,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_243
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f34866,f119]) ).
thf(f34868,plain,
( $false
| ~ spl0_5
| ~ spl0_42
| ~ spl0_243
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f34867,f467]) ).
thf(f34869,plain,
( ~ spl0_5
| ~ spl0_42
| ~ spl0_243
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f34868]) ).
thf(f34872,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_139
| ~ spl0_404 ),
inference(constrained_superposition,[],[f19563,f4792]) ).
thf(f34880,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f47,f4792]) ).
thf(f34882,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_139
| ~ spl0_216 ),
inference(constrained_superposition,[],[f8567,f4792]) ).
thf(f34891,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f34880]) ).
thf(f34892,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_139
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f34882]) ).
thf(f34894,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_139
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f34872]) ).
thf(f34899,plain,
( spl0_692
| ~ spl0_139
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f34894,f19562,f4791,f34690]) ).
thf(f34940,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_432 ),
inference(constrained_superposition,[],[f20275,f36]) ).
thf(f34947,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) ) )
| ~ spl0_432 ),
inference(trivial_inequality_removal,[],[f34940]) ).
thf(f34949,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_291
| ~ spl0_432 ),
inference(forward_subsumption_resolution,[],[f34947,f11211]) ).
thf(f34951,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_291
| ~ spl0_432 ),
inference(constrained_superposition,[],[f34949,f34]) ).
thf(f34953,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_291
| ~ spl0_432 ),
inference(trivial_inequality_removal,[],[f34951]) ).
thf(f34955,plain,
( spl0_524
| ~ spl0_291
| ~ spl0_432 ),
inference(avatar_split_clause,[],[f34953,f20274,f11210,f26414]) ).
thf(f34968,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_694 ),
inference(constrained_superposition,[],[f34702,f35]) ).
thf(f34972,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_694 ),
inference(trivial_inequality_removal,[],[f34968]) ).
thf(f34978,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_450 ),
inference(constrained_superposition,[],[f22223,f35]) ).
thf(f34981,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_450 ),
inference(trivial_inequality_removal,[],[f34978]) ).
thf(f34984,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_397
| ~ spl0_622 ),
inference(constrained_superposition,[],[f18944,f29725]) ).
thf(f34985,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_622
| ~ spl0_654 ),
inference(constrained_superposition,[],[f30326,f29725]) ).
thf(f34986,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_622 ),
inference(constrained_superposition,[],[f30,f29725]) ).
thf(f34987,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_397
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f34984]) ).
thf(f34988,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_622
| ~ spl0_654 ),
inference(trivial_inequality_removal,[],[f34985]) ).
thf(f34989,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f34986]) ).
thf(f34990,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_140
| ~ spl0_622
| ~ spl0_654 ),
inference(forward_subsumption_resolution,[],[f34988,f4795]) ).
thf(f34991,plain,
( spl0_637
| spl0_382
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f34989,f29724,f16095,f29952]) ).
thf(f34992,plain,
( $false
| spl0_140
| ~ spl0_622
| ~ spl0_630
| ~ spl0_654 ),
inference(forward_subsumption_resolution,[],[f34990,f29879]) ).
thf(f34993,plain,
( spl0_140
| ~ spl0_622
| ~ spl0_630
| ~ spl0_654 ),
inference(avatar_contradiction_clause,[],[f34992]) ).
thf(f34994,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_397
| ~ spl0_622 ),
inference(constrained_superposition,[],[f34987,f92]) ).
thf(f34995,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_397
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f34994]) ).
thf(f34996,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_397
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f34995,f26]) ).
thf(f35000,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_397
| ~ spl0_622 ),
inference(constrained_superposition,[],[f21600,f34996]) ).
thf(f35001,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_397
| ~ spl0_462
| ~ spl0_622 ),
inference(constrained_superposition,[],[f24716,f34996]) ).
thf(f35007,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_216
| ~ spl0_397
| ~ spl0_622 ),
inference(constrained_superposition,[],[f8567,f34996]) ).
thf(f35013,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_3
| ~ spl0_397
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f35000]) ).
thf(f35014,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_216
| ~ spl0_397
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f35007]) ).
thf(f35016,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_397
| ~ spl0_462
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f35001]) ).
thf(f35021,plain,
( ~ spl0_666
| spl0_665
| ~ spl0_397
| ~ spl0_462
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f35016,f29724,f24715,f18943,f31359,f31362]) ).
thf(f35054,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_698 ),
inference(constrained_superposition,[],[f34834,f300]) ).
thf(f35062,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_698 ),
inference(trivial_inequality_removal,[],[f35054]) ).
thf(f35070,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_216
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f34237,f26]) ).
thf(f35072,plain,
( spl0_289
| ~ spl0_10
| ~ spl0_694 ),
inference(avatar_split_clause,[],[f34972,f34701,f151,f11203]) ).
thf(f35073,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_139
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f34892,f26]) ).
thf(f35077,plain,
( spl0_371
| spl0_321
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f34239,f13290,f13176,f15677]) ).
thf(f35078,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_216
| ~ spl0_397
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f35014,f26]) ).
thf(f35080,plain,
( ~ spl0_38
| spl0_640
| ~ spl0_40
| ~ spl0_3
| ~ spl0_397
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f35013,f29724,f18943,f71,f426,f30094,f420]) ).
thf(f35081,plain,
( spl0_321
| spl0_34
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f34891,f4791,f372,f13176]) ).
thf(f35082,plain,
( spl0_289
| ~ spl0_38
| ~ spl0_450 ),
inference(avatar_split_clause,[],[f34981,f22222,f420,f11203]) ).
thf(f35083,plain,
( ~ spl0_11
| ~ spl0_285
| spl0_446
| ~ spl0_330
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f34455,f19562,f13290,f21688,f11166,f154]) ).
thf(f35084,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_216
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f35070,f26]) ).
thf(f35085,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_139
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f35073,f26]) ).
thf(f35086,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_216
| ~ spl0_397
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f35078,f26]) ).
thf(f35087,plain,
( spl0_371
| spl0_289
| ~ spl0_373
| ~ spl0_216
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f35084,f13290,f7088,f15688,f11203,f15677]) ).
thf(f35088,plain,
( ~ spl0_38
| spl0_34
| spl0_289
| ~ spl0_139
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f35085,f7088,f4791,f11203,f372,f420]) ).
thf(f35089,plain,
( spl0_640
| ~ spl0_38
| spl0_34
| ~ spl0_216
| ~ spl0_397
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f35086,f29724,f18943,f7088,f372,f420,f30094]) ).
thf(f35129,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f47,f2039]) ).
thf(f35132,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f31,f2039]) ).
thf(f35136,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f35132]) ).
thf(f35137,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f35129]) ).
thf(f35146,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_371
| ~ spl0_397 ),
inference(constrained_superposition,[],[f18944,f15678]) ).
thf(f35148,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_371
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f35146]) ).
thf(f35150,plain,
( $false
| ~ spl0_34
| ~ spl0_371
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f35148,f373]) ).
thf(f35151,plain,
( ~ spl0_34
| ~ spl0_371
| ~ spl0_397 ),
inference(avatar_contradiction_clause,[],[f35150]) ).
thf(f35154,definition,
( spl0_700
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_700])],[avatar_definition]) ).
thf(f35155,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_700 ),
inference(avatar_component_clause,[],[f35154]) ).
thf(f35162,plain,
( spl0_446
| spl0_407
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f34241,f13290,f19867,f21688]) ).
thf(f35165,plain,
( spl0_34
| spl0_45
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f35137,f549,f476,f372]) ).
thf(f35230,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_368 ),
inference(constrained_superposition,[],[f15722,f92]) ).
thf(f35231,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_368 ),
inference(trivial_inequality_removal,[],[f35230]) ).
thf(f35232,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_368 ),
inference(forward_subsumption_resolution,[],[f35231,f26]) ).
thf(f35298,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_639
| ~ spl0_680 ),
inference(constrained_superposition,[],[f32638,f29997]) ).
thf(f35318,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_639
| ~ spl0_680 ),
inference(trivial_inequality_removal,[],[f35298]) ).
thf(f35324,plain,
( spl0_643
| ~ spl0_639
| ~ spl0_680 ),
inference(avatar_split_clause,[],[f35318,f32637,f29996,f30111]) ).
thf(f35465,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_631
| ~ spl0_637 ),
inference(constrained_superposition,[],[f29953,f29892]) ).
thf(f35470,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_631
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f35465]) ).
thf(f35471,plain,
( $false
| ~ spl0_443
| ~ spl0_631
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f35470,f21540]) ).
thf(f35472,plain,
( ~ spl0_443
| ~ spl0_631
| ~ spl0_637 ),
inference(avatar_contradiction_clause,[],[f35471]) ).
thf(f35506,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_695 ),
inference(constrained_superposition,[],[f34711,f34]) ).
thf(f35509,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_695 ),
inference(trivial_inequality_removal,[],[f35506]) ).
thf(f35569,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_330
| ~ spl0_597 ),
inference(constrained_superposition,[],[f27140,f13291]) ).
thf(f35570,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_597 ),
inference(constrained_superposition,[],[f27140,f90]) ).
thf(f35577,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_330
| ~ spl0_597 ),
inference(trivial_inequality_removal,[],[f35569]) ).
thf(f35579,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_597 ),
inference(trivial_inequality_removal,[],[f35570]) ).
thf(f35648,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f35136,f300]) ).
thf(f35650,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_48
| spl0_368 ),
inference(constrained_superposition,[],[f35136,f35232]) ).
thf(f35655,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_48
| spl0_368 ),
inference(trivial_inequality_removal,[],[f35650]) ).
thf(f35658,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f35648]) ).
thf(f35663,plain,
( spl0_440
| ~ spl0_48
| spl0_368 ),
inference(avatar_split_clause,[],[f35655,f15662,f549,f20825]) ).
thf(f35664,plain,
( spl0_43
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f35658,f549,f469]) ).
thf(f35716,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_700 ),
inference(constrained_superposition,[],[f35155,f35]) ).
thf(f35719,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_700 ),
inference(trivial_inequality_removal,[],[f35716]) ).
thf(f35725,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_5
| ~ spl0_700 ),
inference(forward_subsumption_resolution,[],[f35719,f119]) ).
thf(f35728,plain,
( spl0_696
| ~ spl0_40
| ~ spl0_5
| ~ spl0_700 ),
inference(avatar_split_clause,[],[f35725,f35154,f118,f426,f34714]) ).
thf(f35746,plain,
( ~ spl0_49
| spl0_288
| ~ spl0_10
| ~ spl0_597 ),
inference(avatar_split_clause,[],[f35579,f27139,f151,f11199,f552]) ).
thf(f35747,plain,
( ~ spl0_40
| ~ spl0_49
| spl0_298
| ~ spl0_698 ),
inference(avatar_split_clause,[],[f35062,f34833,f11447,f552,f426]) ).
thf(f35748,plain,
( ~ spl0_38
| spl0_368
| ~ spl0_139
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f34401,f15668,f4791,f15662,f420]) ).
thf(f35755,plain,
( ~ spl0_373
| ~ spl0_403
| ~ spl0_330
| ~ spl0_597 ),
inference(avatar_split_clause,[],[f35577,f27139,f13290,f19558,f15688]) ).
thf(f35756,plain,
( ~ spl0_40
| spl0_446
| ~ spl0_10
| ~ spl0_695 ),
inference(avatar_split_clause,[],[f35509,f34710,f151,f21688,f426]) ).
thf(f35759,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f30,f141]) ).
thf(f35760,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f35759]) ).
thf(f35761,plain,
( spl0_22
| spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f35760,f140,f118,f252]) ).
thf(f35784,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_23
| ~ spl0_637 ),
inference(constrained_superposition,[],[f29953,f289]) ).
thf(f35786,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f35784]) ).
thf(f35788,plain,
( $false
| ~ spl0_23
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f35786,f289]) ).
thf(f35789,plain,
( ~ spl0_23
| ~ spl0_637 ),
inference(avatar_contradiction_clause,[],[f35788]) ).
thf(f35823,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_139
| ~ spl0_462 ),
inference(constrained_superposition,[],[f24716,f4792]) ).
thf(f35825,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f132,f4792]) ).
thf(f35838,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_139
| ~ spl0_462 ),
inference(trivial_inequality_removal,[],[f35823]) ).
thf(f35841,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f35825]) ).
thf(f35843,plain,
( ~ spl0_367
| spl0_450
| ~ spl0_139
| ~ spl0_462 ),
inference(avatar_split_clause,[],[f35838,f24715,f4791,f22222,f15659]) ).
thf(f35844,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_41
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f35841,f454]) ).
thf(f35846,plain,
( spl0_327
| ~ spl0_41
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f35844,f4791,f453,f13235]) ).
thf(f35852,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_630 ),
inference(constrained_superposition,[],[f30,f29879]) ).
thf(f35853,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f35852]) ).
thf(f35854,plain,
( spl0_5
| spl0_645
| ~ spl0_630 ),
inference(avatar_split_clause,[],[f35853,f29878,f30174,f118]) ).
thf(f35885,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_368 ),
inference(constrained_superposition,[],[f30,f15663]) ).
thf(f35886,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f35885]) ).
thf(f35893,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_662 ),
inference(constrained_superposition,[],[f253,f31100]) ).
thf(f35895,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_662 ),
inference(trivial_inequality_removal,[],[f35893]) ).
thf(f35897,plain,
( $false
| ~ spl0_22
| ~ spl0_630
| ~ spl0_662 ),
inference(forward_subsumption_resolution,[],[f35895,f29879]) ).
thf(f35898,plain,
( ~ spl0_22
| ~ spl0_630
| ~ spl0_662 ),
inference(avatar_contradiction_clause,[],[f35897]) ).
thf(f35900,plain,
( spl0_327
| spl0_26
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f35841,f4791,f326,f13235]) ).
thf(f35905,plain,
( spl0_41
| spl0_397
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f35886,f15662,f18943,f453]) ).
thf(f35907,plain,
( ( $true != $true )
| ~ spl0_4
| spl0_14 ),
inference(constrained_superposition,[],[f21430,f75]) ).
thf(f35909,plain,
( $false
| ~ spl0_4
| spl0_14 ),
inference(trivial_inequality_removal,[],[f35907]) ).
thf(f35910,plain,
( ~ spl0_4
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f35909]) ).
thf(f35939,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f30,f21685]) ).
thf(f35940,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f35939]) ).
thf(f35941,plain,
( spl0_294
| spl0_5
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f35940,f4794,f118,f11234]) ).
thf(f35951,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_320 ),
inference(constrained_superposition,[],[f13170,f28]) ).
thf(f35953,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_320 ),
inference(trivial_inequality_removal,[],[f35951]) ).
thf(f35955,plain,
( spl0_293
| spl0_300
| spl0_320 ),
inference(avatar_split_clause,[],[f35953,f13169,f11467,f11218]) ).
thf(f35959,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_431 ),
inference(constrained_superposition,[],[f20243,f28]) ).
thf(f35961,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_431 ),
inference(trivial_inequality_removal,[],[f35959]) ).
thf(f35963,plain,
( spl0_288
| spl0_300
| spl0_431 ),
inference(avatar_split_clause,[],[f35961,f20242,f11467,f11199]) ).
thf(f35965,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_288 ),
inference(constrained_superposition,[],[f30,f11200]) ).
thf(f35966,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f35965]) ).
thf(f35967,plain,
( spl0_309
| spl0_33
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f35966,f11199,f368,f12569]) ).
thf(f35985,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_31
| ~ spl0_368 ),
inference(constrained_superposition,[],[f352,f15663]) ).
thf(f35987,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_31
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f35985]) ).
thf(f35992,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_403 ),
inference(constrained_superposition,[],[f19559,f28]) ).
thf(f35994,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_403 ),
inference(trivial_inequality_removal,[],[f35992]) ).
thf(f35997,plain,
( spl0_443
| spl0_396
| spl0_403 ),
inference(avatar_split_clause,[],[f35994,f19558,f18910,f21539]) ).
thf(f35998,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_443 ),
inference(constrained_superposition,[],[f30,f21540]) ).
thf(f35999,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_443 ),
inference(trivial_inequality_removal,[],[f35998]) ).
thf(f36000,plain,
( spl0_397
| spl0_382
| ~ spl0_443 ),
inference(avatar_split_clause,[],[f35999,f21539,f16095,f18943]) ).
thf(f36001,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_629 ),
inference(constrained_superposition,[],[f30,f29875]) ).
thf(f36002,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_629 ),
inference(trivial_inequality_removal,[],[f36001]) ).
thf(f36003,plain,
( spl0_646
| spl0_647
| ~ spl0_629 ),
inference(avatar_split_clause,[],[f36002,f29874,f30252,f30208]) ).
thf(f36006,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f923,f300]) ).
thf(f36013,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f36006]) ).
thf(f36052,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f55,f34]) ).
thf(f36054,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f36052]) ).
thf(f36055,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_31
| ~ spl0_632 ),
inference(constrained_superposition,[],[f352,f29897]) ).
thf(f36057,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_31
| ~ spl0_632 ),
inference(trivial_inequality_removal,[],[f36055]) ).
thf(f36059,plain,
( $false
| ~ spl0_31
| ~ spl0_630
| ~ spl0_632 ),
inference(forward_subsumption_resolution,[],[f36057,f29879]) ).
thf(f36060,plain,
( ~ spl0_31
| ~ spl0_630
| ~ spl0_632 ),
inference(avatar_contradiction_clause,[],[f36059]) ).
thf(f36144,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_47
| ~ spl0_443 ),
inference(constrained_superposition,[],[f520,f21540]) ).
thf(f36156,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_47
| ~ spl0_443 ),
inference(trivial_inequality_removal,[],[f36144]) ).
thf(f36160,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_47
| ~ spl0_443 ),
inference(forward_subsumption_resolution,[],[f36156,f339]) ).
thf(f36164,plain,
( $false
| ~ spl0_29
| ~ spl0_47
| spl0_371
| ~ spl0_443 ),
inference(forward_subsumption_resolution,[],[f36160,f33545]) ).
thf(f36165,plain,
( ~ spl0_29
| ~ spl0_47
| spl0_371
| ~ spl0_443 ),
inference(avatar_contradiction_clause,[],[f36164]) ).
thf(f36171,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f36054,f300]) ).
thf(f36183,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f36171]) ).
thf(f36262,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f72,f35]) ).
thf(f36265,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f36262]) ).
thf(f36267,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_376
| ~ spl0_443 ),
inference(constrained_superposition,[],[f15726,f21540]) ).
thf(f36271,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_376
| ~ spl0_443 ),
inference(trivial_inequality_removal,[],[f36267]) ).
thf(f36275,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_376
| ~ spl0_443 ),
inference(constrained_superposition,[],[f36271,f92]) ).
thf(f36276,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_376
| ~ spl0_443 ),
inference(trivial_inequality_removal,[],[f36275]) ).
thf(f36277,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_376
| ~ spl0_443 ),
inference(forward_subsumption_resolution,[],[f36276,f26]) ).
thf(f36284,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_376
| ~ spl0_443 ),
inference(constrained_superposition,[],[f318,f36277]) ).
thf(f36293,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_376
| ~ spl0_443 ),
inference(duplicate_literal_removal,[],[f36284]) ).
thf(f36294,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_376
| ~ spl0_443 ),
inference(trivial_inequality_removal,[],[f36293]) ).
thf(f36307,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_298
| ~ spl0_376
| ~ spl0_443 ),
inference(forward_subsumption_resolution,[],[f36294,f11448]) ).
thf(f36308,plain,
( spl0_66
| spl0_298
| ~ spl0_376
| ~ spl0_443 ),
inference(avatar_split_clause,[],[f36307,f21539,f15725,f11447,f782]) ).
thf(f36326,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f30,f467]) ).
thf(f36327,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f36326]) ).
thf(f36329,plain,
( spl0_41
| spl0_32
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f36327,f466,f365,f453]) ).
thf(f36402,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_665 ),
inference(constrained_superposition,[],[f31360,f91]) ).
thf(f36409,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_665 ),
inference(trivial_inequality_removal,[],[f36402]) ).
thf(f36458,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_330
| ~ spl0_699 ),
inference(constrained_superposition,[],[f34844,f13291]) ).
thf(f36463,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_330
| ~ spl0_699 ),
inference(trivial_inequality_removal,[],[f36458]) ).
thf(f36471,plain,
( ~ spl0_451
| ~ spl0_401
| ~ spl0_330
| ~ spl0_699 ),
inference(avatar_split_clause,[],[f36463,f34843,f13290,f19547,f22321]) ).
thf(f36477,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_330 ),
inference(constrained_superposition,[],[f36265,f13291]) ).
thf(f36484,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_3
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f36477]) ).
thf(f36505,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f36013,f90]) ).
thf(f36509,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f36505]) ).
thf(f36512,plain,
( spl0_71
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f36509,f922,f998]) ).
thf(f36546,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f210,f300]) ).
thf(f36553,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f210,f34]) ).
thf(f36558,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f36546]) ).
thf(f36567,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f36553]) ).
thf(f36568,plain,
( spl0_71
| ~ spl0_49
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f36558,f209,f552,f998]) ).
thf(f36569,plain,
( spl0_73
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f36567,f209,f154,f1111]) ).
thf(f36627,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f292,f91]) ).
thf(f36634,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f36627]) ).
thf(f36647,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_61 ),
inference(constrained_superposition,[],[f764,f301]) ).
thf(f36658,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f36647]) ).
thf(f36711,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f666,f34]) ).
thf(f36721,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f36711]) ).
thf(f36731,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_67 ),
inference(constrained_superposition,[],[f787,f91]) ).
thf(f36738,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f36731]) ).
thf(f36743,plain,
( ~ spl0_49
| spl0_50
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f36738,f786,f555,f552]) ).
thf(f36775,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f36634,f300]) ).
thf(f36785,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f36775]) ).
thf(f36839,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_61
| ~ spl0_330 ),
inference(constrained_superposition,[],[f36658,f13291]) ).
thf(f36851,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_61
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f36839]) ).
thf(f36943,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_31
| ~ spl0_368
| ~ spl0_524 ),
inference(constrained_superposition,[],[f35987,f26415]) ).
thf(f36948,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_31
| ~ spl0_368
| ~ spl0_524 ),
inference(trivial_inequality_removal,[],[f36943]) ).
thf(f36955,plain,
( $false
| ~ spl0_31
| spl0_301
| ~ spl0_368
| ~ spl0_524 ),
inference(forward_subsumption_resolution,[],[f36948,f29707]) ).
thf(f36956,plain,
( ~ spl0_31
| spl0_301
| ~ spl0_368
| ~ spl0_524 ),
inference(avatar_contradiction_clause,[],[f36955]) ).
thf(f36957,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f175,f90]) ).
thf(f36972,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f36957]) ).
thf(f36973,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f36972]) ).
thf(f36984,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f34250,f13291]) ).
thf(f36988,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f34250,f35]) ).
thf(f36989,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f36984]) ).
thf(f36991,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f36988]) ).
thf(f36996,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_330
| spl0_371 ),
inference(forward_subsumption_resolution,[],[f36991,f33545]) ).
thf(f37004,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_330
| spl0_371 ),
inference(constrained_superposition,[],[f36996,f301]) ).
thf(f37005,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_330
| spl0_371 ),
inference(constrained_superposition,[],[f36996,f91]) ).
thf(f37011,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_330
| spl0_371 ),
inference(trivial_inequality_removal,[],[f37005]) ).
thf(f37012,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_330
| spl0_371 ),
inference(trivial_inequality_removal,[],[f37004]) ).
thf(f37027,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f36989,f13291]) ).
thf(f37037,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f37027]) ).
thf(f37041,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f37037,f90]) ).
thf(f37046,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f37041]) ).
thf(f37051,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_639 ),
inference(avatar_component_clause,[],[f29996]) ).
thf(f37059,plain,
( ~ spl0_49
| spl0_629
| ~ spl0_665 ),
inference(avatar_split_clause,[],[f36409,f31359,f29874,f552]) ).
thf(f37076,plain,
( spl0_394
| ~ spl0_373
| ~ spl0_403
| ~ spl0_61
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f36851,f13290,f763,f19558,f15688,f18698]) ).
thf(f37077,plain,
( spl0_394
| ~ spl0_40
| spl0_449
| ~ spl0_330
| spl0_371 ),
inference(avatar_split_clause,[],[f37012,f15677,f13290,f22172,f426,f18698]) ).
thf(f37079,plain,
( ~ spl0_11
| spl0_427
| spl0_293
| ~ spl0_330
| spl0_371 ),
inference(avatar_split_clause,[],[f37011,f15677,f13290,f11218,f20066,f154]) ).
thf(f37080,plain,
( ~ spl0_373
| ~ spl0_402
| spl0_289
| ~ spl0_3
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f36484,f13290,f71,f11203,f19552,f15688]) ).
thf(f37081,plain,
( spl0_128
| ~ spl0_40
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f36721,f665,f426,f3321]) ).
thf(f37083,plain,
( ~ spl0_320
| ~ spl0_431
| spl0_375
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f37046,f13290,f15719,f20242,f13169]) ).
thf(f37084,plain,
( spl0_127
| spl0_29
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f36183,f54,f338,f3299]) ).
thf(f37085,plain,
( ~ spl0_10
| spl0_16
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f36973,f174,f209,f151]) ).
thf(f37108,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_139 ),
inference(constrained_superposition,[],[f24239,f28]) ).
thf(f37110,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_139 ),
inference(trivial_inequality_removal,[],[f37108]) ).
thf(f37159,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_72
| ~ spl0_329 ),
inference(constrained_superposition,[],[f1086,f13287]) ).
thf(f37162,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_72
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f37159]) ).
thf(f37164,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_72
| ~ spl0_331 ),
inference(constrained_superposition,[],[f1086,f13294]) ).
thf(f37165,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_331 ),
inference(constrained_superposition,[],[f30,f13294]) ).
thf(f37166,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f37165]) ).
thf(f37167,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_72
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f37164]) ).
thf(f37168,plain,
( spl0_382
| spl0_376
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f37166,f13293,f15725,f16095]) ).
thf(f37176,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24
| ~ spl0_639 ),
inference(constrained_superposition,[],[f36634,f29997]) ).
thf(f37182,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_639 ),
inference(constrained_superposition,[],[f223,f29997]) ).
thf(f37183,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_639 ),
inference(constrained_superposition,[],[f132,f29997]) ).
thf(f37193,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_24
| ~ spl0_639 ),
inference(trivial_inequality_removal,[],[f37176]) ).
thf(f37195,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_639 ),
inference(trivial_inequality_removal,[],[f37182]) ).
thf(f37197,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_639 ),
inference(trivial_inequality_removal,[],[f37183]) ).
thf(f37205,plain,
( spl0_625
| spl0_293
| ~ spl0_639 ),
inference(avatar_split_clause,[],[f37195,f29996,f11218,f29859]) ).
thf(f37237,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_621 ),
inference(constrained_superposition,[],[f223,f29722]) ).
thf(f37244,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_621 ),
inference(trivial_inequality_removal,[],[f37237]) ).
thf(f37259,plain,
( spl0_399
| spl0_625
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f37244,f29721,f29859,f19488]) ).
thf(f37265,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_623 ),
inference(constrained_superposition,[],[f30,f29729]) ).
thf(f37268,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_623 ),
inference(trivial_inequality_removal,[],[f37265]) ).
thf(f37269,plain,
( spl0_637
| spl0_646
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f37268,f29728,f30208,f29952]) ).
thf(f37327,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_692 ),
inference(constrained_superposition,[],[f34691,f34]) ).
thf(f37330,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_692 ),
inference(trivial_inequality_removal,[],[f37327]) ).
thf(f37357,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f776,f28]) ).
thf(f37361,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f37357]) ).
thf(f37365,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_41
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f37361,f454]) ).
thf(f37366,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_41
| ~ spl0_64 ),
inference(constrained_superposition,[],[f37365,f301]) ).
thf(f37373,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_41
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f37366]) ).
thf(f37378,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_41
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f37373,f454]) ).
thf(f37398,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_41
| ~ spl0_64
| ~ spl0_621 ),
inference(constrained_superposition,[],[f37378,f29722]) ).
thf(f37403,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_41
| ~ spl0_64
| ~ spl0_621 ),
inference(trivial_inequality_removal,[],[f37398]) ).
thf(f37409,plain,
( ~ spl0_401
| spl0_396
| ~ spl0_41
| ~ spl0_64
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f37403,f29721,f775,f453,f18910,f19547]) ).
thf(f37412,plain,
( spl0_288
| spl0_681
| ~ spl0_639 ),
inference(avatar_split_clause,[],[f37197,f29996,f32673,f11199]) ).
thf(f37415,plain,
( ~ spl0_288
| spl0_399
| ~ spl0_72
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f37167,f13293,f1085,f19488,f11199]) ).
thf(f37416,plain,
( ~ spl0_431
| spl0_629
| ~ spl0_320
| ~ spl0_24
| ~ spl0_639 ),
inference(avatar_split_clause,[],[f37193,f29996,f291,f13169,f29874,f20242]) ).
thf(f37473,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_658 ),
inference(constrained_superposition,[],[f30491,f90]) ).
thf(f37481,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_658 ),
inference(trivial_inequality_removal,[],[f37473]) ).
thf(f37482,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_625
| ~ spl0_639 ),
inference(constrained_superposition,[],[f29860,f29997]) ).
thf(f37492,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_625
| ~ spl0_639 ),
inference(trivial_inequality_removal,[],[f37482]) ).
thf(f37494,plain,
( ~ spl0_431
| spl0_642
| ~ spl0_625
| ~ spl0_639 ),
inference(avatar_split_clause,[],[f37492,f29996,f29859,f30106,f20242]) ).
thf(f37497,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_642 ),
inference(constrained_superposition,[],[f30107,f90]) ).
thf(f37504,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_642 ),
inference(trivial_inequality_removal,[],[f37497]) ).
thf(f37509,plain,
( ~ spl0_320
| spl0_662
| ~ spl0_642 ),
inference(avatar_split_clause,[],[f37504,f30106,f30969,f13169]) ).
thf(f37510,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_662 ),
inference(constrained_superposition,[],[f30,f31100]) ).
thf(f37511,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_662 ),
inference(trivial_inequality_removal,[],[f37510]) ).
thf(f37513,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_621
| ~ spl0_625 ),
inference(constrained_superposition,[],[f29860,f29722]) ).
thf(f37525,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_621 ),
inference(constrained_superposition,[],[f132,f29722]) ).
thf(f37544,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_621 ),
inference(trivial_inequality_removal,[],[f37525]) ).
thf(f37546,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_621
| ~ spl0_625 ),
inference(trivial_inequality_removal,[],[f37513]) ).
thf(f37550,plain,
( ~ spl0_401
| spl0_634
| ~ spl0_621
| ~ spl0_625 ),
inference(avatar_split_clause,[],[f37546,f29859,f29721,f29906,f19547]) ).
thf(f37557,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_634 ),
inference(constrained_superposition,[],[f29907,f300]) ).
thf(f37568,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_634 ),
inference(trivial_inequality_removal,[],[f37557]) ).
thf(f37577,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_681 ),
inference(constrained_superposition,[],[f32674,f35]) ).
thf(f37580,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_681 ),
inference(trivial_inequality_removal,[],[f37577]) ).
thf(f37584,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_5
| ~ spl0_681 ),
inference(forward_subsumption_resolution,[],[f37580,f119]) ).
thf(f37588,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_5
| ~ spl0_681 ),
inference(constrained_superposition,[],[f37584,f301]) ).
thf(f37594,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_5
| ~ spl0_681 ),
inference(trivial_inequality_removal,[],[f37588]) ).
thf(f37596,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_5
| ~ spl0_41
| ~ spl0_681 ),
inference(forward_subsumption_resolution,[],[f37594,f454]) ).
thf(f37597,plain,
( ~ spl0_38
| ~ spl0_49
| ~ spl0_5
| ~ spl0_41
| ~ spl0_681 ),
inference(avatar_split_clause,[],[f37596,f32673,f453,f118,f552,f420]) ).
thf(f37598,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_72
| spl0_293
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f37162,f12296]) ).
thf(f37599,plain,
( spl0_681
| spl0_375
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f37544,f29721,f15719,f32673]) ).
thf(f37601,plain,
( ~ spl0_375
| ~ spl0_72
| spl0_293
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f37598,f13286,f11218,f1085,f15719]) ).
thf(f37607,plain,
( $false
| ~ spl0_41
| ~ spl0_443 ),
inference(forward_subsumption_resolution,[],[f21540,f454]) ).
thf(f37608,plain,
( ~ spl0_41
| ~ spl0_443 ),
inference(avatar_contradiction_clause,[],[f37607]) ).
thf(f37610,plain,
( $false
| ~ spl0_5
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f373,f119]) ).
thf(f37611,plain,
( ~ spl0_5
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f37610]) ).
thf(f37615,plain,
( ~ spl0_403
| spl0_632
| ~ spl0_634 ),
inference(avatar_split_clause,[],[f37568,f29906,f29896,f19558]) ).
thf(f37617,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_139
| spl0_301 ),
inference(forward_subsumption_resolution,[],[f37110,f29707]) ).
thf(f37621,plain,
( spl0_298
| spl0_139
| spl0_301 ),
inference(avatar_split_clause,[],[f37617,f11518,f4791,f11447]) ).
thf(f37622,plain,
( spl0_140
| ~ spl0_11
| ~ spl0_38
| ~ spl0_692 ),
inference(avatar_split_clause,[],[f37330,f34690,f420,f154,f4794]) ).
thf(f37626,plain,
( spl0_695
| spl0_375
| ~ spl0_658 ),
inference(avatar_split_clause,[],[f37481,f30490,f15719,f34710]) ).
thf(f37629,plain,
( ~ spl0_38
| spl0_368
| ~ spl0_48
| ~ spl0_672 ),
inference(avatar_split_clause,[],[f33515,f31858,f549,f15662,f420]) ).
thf(f37630,plain,
( ~ spl0_48
| spl0_50
| ~ spl0_49
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f36785,f291,f552,f555,f549]) ).
thf(f37632,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f30,f178]) ).
thf(f37633,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f37632]) ).
thf(f37634,plain,
( spl0_33
| spl0_22
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f37633,f177,f252,f368]) ).
thf(f37639,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f30,f373]) ).
thf(f37640,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f37639]) ).
thf(f37645,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_48 ),
inference(constrained_superposition,[],[f138,f2039]) ).
thf(f37654,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_7
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f37645]) ).
thf(f37664,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_7
| spl0_26
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f37654,f10328]) ).
thf(f37667,plain,
( ~ spl0_10
| spl0_99
| ~ spl0_7
| spl0_26
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f37664,f549,f326,f137,f2003,f151]) ).
thf(f37677,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f30,f11204]) ).
thf(f37678,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f37677]) ).
thf(f37679,plain,
( spl0_294
| spl0_291
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f37678,f11203,f11210,f11234]) ).
thf(f37702,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_454 ),
inference(constrained_superposition,[],[f30,f23391]) ).
thf(f37703,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_454 ),
inference(trivial_inequality_removal,[],[f37702]) ).
thf(f37706,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_640
| ~ spl0_647 ),
inference(constrained_superposition,[],[f30253,f30095]) ).
thf(f37707,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_640 ),
inference(constrained_superposition,[],[f30,f30095]) ).
thf(f37708,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_640 ),
inference(trivial_inequality_removal,[],[f37707]) ).
thf(f37709,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_640
| ~ spl0_647 ),
inference(trivial_inequality_removal,[],[f37706]) ).
thf(f37710,plain,
( spl0_646
| spl0_645
| ~ spl0_640 ),
inference(avatar_split_clause,[],[f37708,f30094,f30174,f30208]) ).
thf(f37711,plain,
( $false
| ~ spl0_14
| ~ spl0_640
| ~ spl0_647 ),
inference(forward_subsumption_resolution,[],[f37709,f178]) ).
thf(f37712,plain,
( ~ spl0_14
| ~ spl0_640
| ~ spl0_647 ),
inference(avatar_contradiction_clause,[],[f37711]) ).
thf(f37750,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_329 ),
inference(constrained_superposition,[],[f30,f13287]) ).
thf(f37751,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f37750]) ).
thf(f37753,plain,
( spl0_291
| spl0_376
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f37751,f13286,f15725,f11210]) ).
thf(f37756,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f13216,f301]) ).
thf(f37760,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f37756]) ).
thf(f37764,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_41
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f37760,f454]) ).
thf(f37765,plain,
( ~ spl0_49
| ~ spl0_41
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f37764,f13215,f453,f552]) ).
thf(f37781,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_61
| ~ spl0_639 ),
inference(constrained_superposition,[],[f36658,f29997]) ).
thf(f37795,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_61
| ~ spl0_639 ),
inference(trivial_inequality_removal,[],[f37781]) ).
thf(f37808,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_41
| ~ spl0_61
| ~ spl0_639 ),
inference(forward_subsumption_resolution,[],[f37795,f454]) ).
thf(f37811,plain,
( ~ spl0_367
| ~ spl0_285
| ~ spl0_41
| ~ spl0_61
| ~ spl0_639 ),
inference(avatar_split_clause,[],[f37808,f29996,f763,f453,f11166,f15659]) ).
thf(f37829,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f234,f35]) ).
thf(f37832,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f37829]) ).
thf(f37868,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_62
| spl0_371 ),
inference(constrained_superposition,[],[f33545,f767]) ).
thf(f37875,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_62
| spl0_371 ),
inference(trivial_inequality_removal,[],[f37868]) ).
thf(f37879,plain,
( $false
| ~ spl0_62
| spl0_371 ),
inference(forward_subsumption_resolution,[],[f37875,f26]) ).
thf(f37880,plain,
( ~ spl0_62
| spl0_371 ),
inference(avatar_contradiction_clause,[],[f37879]) ).
thf(f37881,plain,
( spl0_31
| spl0_41
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f37640,f372,f453,f351]) ).
thf(f37884,plain,
( spl0_14
| spl0_427
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f37832,f233,f20066,f177]) ).
thf(f37886,plain,
( spl0_647
| spl0_33
| ~ spl0_662 ),
inference(avatar_split_clause,[],[f37511,f30969,f368,f30252]) ).
thf(f37887,plain,
( spl0_33
| spl0_306
| ~ spl0_454 ),
inference(avatar_split_clause,[],[f37703,f23390,f12247,f368]) ).
thf(f37889,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f30,f339]) ).
thf(f37890,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f37889]) ).
thf(f37891,plain,
( spl0_31
| spl0_5
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f37890,f338,f118,f351]) ).
thf(f37896,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f30,f15678]) ).
thf(f37897,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f37896]) ).
thf(f37898,plain,
( spl0_382
| spl0_383
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f37897,f15677,f16098,f16095]) ).
thf(f37908,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_446 ),
inference(constrained_superposition,[],[f30,f21689]) ).
thf(f37909,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_446 ),
inference(trivial_inequality_removal,[],[f37908]) ).
thf(f37910,plain,
( spl0_383
| spl0_5
| ~ spl0_446 ),
inference(avatar_split_clause,[],[f37909,f21688,f118,f16098]) ).
thf(f37911,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_293 ),
inference(constrained_superposition,[],[f30,f11219]) ).
thf(f37912,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f37911]) ).
thf(f37913,plain,
( spl0_291
| spl0_309
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f37912,f11218,f12569,f11210]) ).
thf(f37940,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_394 ),
inference(constrained_superposition,[],[f30,f18699]) ).
thf(f37941,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f37940]) ).
thf(f37942,plain,
( spl0_433
| spl0_291
| ~ spl0_394 ),
inference(avatar_split_clause,[],[f37941,f18698,f11210,f20328]) ).
thf(f37949,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_399 ),
inference(constrained_superposition,[],[f30,f19489]) ).
thf(f37950,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f37949]) ).
thf(f37951,plain,
( spl0_382
| spl0_405
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f37950,f19488,f19666,f16095]) ).
thf(f37952,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_298 ),
inference(constrained_superposition,[],[f30,f19541]) ).
thf(f37953,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_298 ),
inference(trivial_inequality_removal,[],[f37952]) ).
thf(f37954,plain,
( spl0_41
| spl0_433
| ~ spl0_298 ),
inference(avatar_split_clause,[],[f37953,f11447,f20328,f453]) ).
thf(f37957,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_401 ),
inference(constrained_superposition,[],[f19548,f28]) ).
thf(f37959,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_401 ),
inference(trivial_inequality_removal,[],[f37957]) ).
thf(f37973,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_368 ),
inference(constrained_superposition,[],[f15722,f92]) ).
thf(f37974,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_368 ),
inference(trivial_inequality_removal,[],[f37973]) ).
thf(f37975,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_368 ),
inference(forward_subsumption_resolution,[],[f37974,f26]) ).
thf(f37981,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| spl0_368
| ~ spl0_462 ),
inference(constrained_superposition,[],[f24716,f37975]) ).
thf(f37991,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_368
| ~ spl0_462 ),
inference(trivial_inequality_removal,[],[f37981]) ).
thf(f38000,plain,
( spl0_465
| ~ spl0_403
| spl0_368
| ~ spl0_462 ),
inference(avatar_split_clause,[],[f37991,f24715,f15662,f19558,f24739]) ).
thf(f38040,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_13
| ~ spl0_328 ),
inference(constrained_superposition,[],[f175,f13284]) ).
thf(f38048,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f132,f13284]) ).
thf(f38050,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f42,f13284]) ).
thf(f38052,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f38050]) ).
thf(f38057,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_13
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f38040]) ).
thf(f38058,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f38048]) ).
thf(f38065,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_140
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f38052,f4795]) ).
thf(f38067,plain,
( spl0_439
| spl0_140
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f38065,f13283,f4794,f20815]) ).
thf(f38071,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f318,f13291]) ).
thf(f38072,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f10270,f13291]) ).
thf(f38073,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_7
| ~ spl0_330 ),
inference(constrained_superposition,[],[f138,f13291]) ).
thf(f38075,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f132,f13291]) ).
thf(f38080,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f38071]) ).
thf(f38081,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f38075]) ).
thf(f38086,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f38072]) ).
thf(f38087,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_7
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f38073]) ).
thf(f38090,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_330
| spl0_368 ),
inference(forward_subsumption_resolution,[],[f38080,f15722]) ).
thf(f38091,plain,
( spl0_673
| spl0_443
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f38086,f13290,f21539,f32098]) ).
thf(f38092,plain,
( spl0_700
| ~ spl0_330
| spl0_368 ),
inference(avatar_split_clause,[],[f38090,f15662,f13290,f35154]) ).
thf(f38132,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_639 ),
inference(constrained_superposition,[],[f37051,f36]) ).
thf(f38134,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_639 ),
inference(trivial_inequality_removal,[],[f38132]) ).
thf(f38136,plain,
( spl0_396
| spl0_678
| spl0_639 ),
inference(avatar_split_clause,[],[f38134,f29996,f32498,f18910]) ).
thf(f38145,plain,
( spl0_375
| spl0_327
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f38081,f13290,f13235,f15719]) ).
thf(f38147,plain,
( spl0_437
| spl0_288
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f38058,f13283,f11199,f20807]) ).
thf(f38148,plain,
( spl0_375
| ~ spl0_285
| spl0_372
| ~ spl0_13
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f38057,f13283,f174,f15685,f11166,f15719]) ).
thf(f38149,plain,
( spl0_377
| spl0_375
| spl0_401 ),
inference(avatar_split_clause,[],[f37959,f19547,f15719,f15745]) ).
thf(f38150,plain,
( spl0_375
| spl0_400
| ~ spl0_285
| ~ spl0_7
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f38087,f13290,f137,f11166,f19544,f15719]) ).
thf(f38156,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_309
| ~ spl0_678 ),
inference(constrained_superposition,[],[f12570,f32499]) ).
thf(f38158,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_678 ),
inference(constrained_superposition,[],[f30,f32499]) ).
thf(f38159,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_678 ),
inference(trivial_inequality_removal,[],[f38158]) ).
thf(f38160,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_309
| ~ spl0_678 ),
inference(trivial_inequality_removal,[],[f38156]) ).
thf(f38162,plain,
( spl0_677
| spl0_291
| ~ spl0_678 ),
inference(avatar_split_clause,[],[f38159,f32498,f11210,f32362]) ).
thf(f38168,plain,
( ~ spl0_662
| ~ spl0_309
| ~ spl0_678 ),
inference(avatar_split_clause,[],[f38160,f32498,f12569,f30969]) ).
thf(f38186,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_433
| ~ spl0_678 ),
inference(constrained_superposition,[],[f20329,f32499]) ).
thf(f38191,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_433
| ~ spl0_678 ),
inference(trivial_inequality_removal,[],[f38186]) ).
thf(f38192,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_433
| ~ spl0_678 ),
inference(constrained_superposition,[],[f38191,f92]) ).
thf(f38193,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_433
| ~ spl0_678 ),
inference(trivial_inequality_removal,[],[f38192]) ).
thf(f38194,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_433
| ~ spl0_678 ),
inference(forward_subsumption_resolution,[],[f38193,f26]) ).
thf(f38196,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_24
| ~ spl0_433
| ~ spl0_678 ),
inference(constrained_superposition,[],[f36634,f38194]) ).
thf(f38212,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_24
| ~ spl0_433
| ~ spl0_678 ),
inference(trivial_inequality_removal,[],[f38196]) ).
thf(f38220,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_24
| ~ spl0_48
| ~ spl0_433
| ~ spl0_678 ),
inference(forward_subsumption_resolution,[],[f38212,f2039]) ).
thf(f38226,plain,
( ~ spl0_49
| spl0_629
| ~ spl0_24
| ~ spl0_48
| ~ spl0_433
| ~ spl0_678 ),
inference(avatar_split_clause,[],[f38220,f32498,f20328,f549,f291,f29874,f552]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f56]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f76]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f142]) ).
cnf(s6,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f159]) ).
cnf(s9,plain,
( ~ spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f172]) ).
cnf(s10,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f179]) ).
cnf(s11,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f180]) ).
cnf(s13,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f189]) ).
cnf(s16,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f235]) ).
cnf(s17,plain,
( spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f242]) ).
cnf(s20,plain,
( spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f293]) ).
cnf(s21,plain,
( spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f328]) ).
cnf(s24,plain,
( spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f343]) ).
cnf(s26,plain,
( ~ spl0_4
| ~ spl0_29
| spl0_31 ),
inference(sat_conversion,[],[f354]) ).
cnf(s29,plain,
( spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f377]) ).
cnf(s34,plain,
( ~ spl0_22
| ~ spl0_26
| spl0_38 ),
inference(sat_conversion,[],[f437]) ).
cnf(s35,plain,
( spl0_34
| spl0_40 ),
inference(sat_conversion,[],[f442]) ).
cnf(s38,plain,
( ~ spl0_5
| ~ spl0_14 ),
inference(sat_conversion,[],[f447]) ).
cnf(s40,plain,
( ~ spl0_14
| ~ spl0_32
| ~ spl0_34 ),
inference(sat_conversion,[],[f457]) ).
cnf(s41,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_32 ),
inference(sat_conversion,[],[f463]) ).
cnf(s43,plain,
( spl0_42
| spl0_43 ),
inference(sat_conversion,[],[f471]) ).
cnf(s44,plain,
( spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f478]) ).
cnf(s46,plain,
( ~ spl0_8
| ~ spl0_33 ),
inference(sat_conversion,[],[f485]) ).
cnf(s54,plain,
( spl0_26
| spl0_49 ),
inference(sat_conversion,[],[f577]) ).
cnf(s56,plain,
( ~ spl0_8
| ~ spl0_31
| ~ spl0_42 ),
inference(sat_conversion,[],[f586]) ).
cnf(s59,plain,
( ~ spl0_43
| ~ spl0_49
| spl0_53 ),
inference(sat_conversion,[],[f667]) ).
cnf(s61,plain,
( spl0_50
| spl0_55 ),
inference(sat_conversion,[],[f683]) ).
cnf(s67,plain,
( ~ spl0_41
| spl0_61
| spl0_62 ),
inference(sat_conversion,[],[f768]) ).
cnf(s68,plain,
( ~ spl0_19
| ~ spl0_38
| ~ spl0_41
| ~ spl0_49
| spl0_56 ),
inference(sat_conversion,[],[f769]) ).
cnf(s69,plain,
( ~ spl0_41
| spl0_63
| spl0_64 ),
inference(sat_conversion,[],[f777]) ).
cnf(s71,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_41
| spl0_67 ),
inference(sat_conversion,[],[f788]) ).
cnf(s74,plain,
( ~ spl0_29
| ~ spl0_41 ),
inference(sat_conversion,[],[f920]) ).
cnf(s75,plain,
( spl0_42
| ~ spl0_66
| spl0_68 ),
inference(sat_conversion,[],[f924]) ).
cnf(s81,plain,
( ~ spl0_48
| spl0_50
| ~ spl0_66 ),
inference(sat_conversion,[],[f1009]) ).
cnf(s84,plain,
( ~ spl0_8
| ~ spl0_47
| spl0_62
| ~ spl0_63 ),
inference(sat_conversion,[],[f1039]) ).
cnf(s85,plain,
( ~ spl0_17
| spl0_33
| spl0_72 ),
inference(sat_conversion,[],[f1087]) ).
cnf(s86,plain,
( ~ spl0_17
| ~ spl0_20
| ~ spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f1089]) ).
cnf(s87,plain,
( spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f1098]) ).
cnf(s90,plain,
( spl0_33
| ~ spl0_73
| spl0_74 ),
inference(sat_conversion,[],[f1128]) ).
cnf(s96,plain,
( ~ spl0_20
| ~ spl0_73
| spl0_74 ),
inference(sat_conversion,[],[f1193]) ).
cnf(s103,plain,
( ~ spl0_11
| ~ spl0_18
| spl0_83 ),
inference(sat_conversion,[],[f1418]) ).
cnf(s104,plain,
( ~ spl0_18
| ~ spl0_49
| spl0_71 ),
inference(sat_conversion,[],[f1419]) ).
cnf(s143,plain,
( spl0_50
| ~ spl0_99 ),
inference(sat_conversion,[],[f2137]) ).
cnf(s239,plain,
( ~ spl0_14
| spl0_29
| ~ spl0_34
| ~ spl0_74 ),
inference(sat_conversion,[],[f3309]) ).
cnf(s253,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_14
| ~ spl0_74
| spl0_130 ),
inference(sat_conversion,[],[f3370]) ).
cnf(s376,plain,
( spl0_5
| ~ spl0_119
| spl0_126 ),
inference(sat_conversion,[],[f4850]) ).
cnf(s842,plain,
( ~ spl0_2
| spl0_213 ),
inference(sat_conversion,[],[f8365]) ).
cnf(s853,plain,
( ~ spl0_3
| spl0_216 ),
inference(sat_conversion,[],[f8564]) ).
cnf(s858,plain,
( ~ spl0_39
| spl0_41
| spl0_243 ),
inference(sat_conversion,[],[f8645]) ).
cnf(s860,plain,
( spl0_41
| ~ spl0_128
| spl0_245 ),
inference(sat_conversion,[],[f8715]) ).
cnf(s962,plain,
( spl0_41
| ~ spl0_50
| spl0_252 ),
inference(sat_conversion,[],[f9637]) ).
cnf(s963,plain,
( spl0_41
| ~ spl0_71
| spl0_253 ),
inference(sat_conversion,[],[f9697]) ).
cnf(s982,plain,
( ~ spl0_18
| spl0_26
| spl0_262 ),
inference(sat_conversion,[],[f10305]) ).
cnf(s985,plain,
( ~ spl0_22
| ~ spl0_31
| ~ spl0_38
| ~ spl0_71
| ~ spl0_213
| spl0_268 ),
inference(sat_conversion,[],[f10315]) ).
cnf(s1018,plain,
( ~ spl0_34
| ~ spl0_268
| ~ spl0_289
| spl0_291 ),
inference(sat_conversion,[],[f11244]) ).
cnf(s1023,plain,
( ~ spl0_50
| spl0_293
| spl0_298 ),
inference(sat_conversion,[],[f11508]) ).
cnf(s1025,plain,
( ~ spl0_71
| spl0_288
| spl0_298 ),
inference(sat_conversion,[],[f11513]) ).
cnf(s1032,plain,
( spl0_51
| ~ spl0_99
| spl0_293
| spl0_298 ),
inference(sat_conversion,[],[f11529]) ).
cnf(s1034,plain,
( ~ spl0_68
| spl0_288
| spl0_298
| spl0_301 ),
inference(sat_conversion,[],[f11532]) ).
cnf(s1077,plain,
( ~ spl0_276
| ~ spl0_288
| spl0_301 ),
inference(sat_conversion,[],[f12573]) ).
cnf(s1114,plain,
~ spl0_301,
inference(sat_conversion,[],[f12869]) ).
cnf(s1177,plain,
~ spl0_51,
inference(sat_conversion,[],[f13258]) ).
cnf(s1185,plain,
( spl0_51
| spl0_328
| spl0_329 ),
inference(sat_conversion,[],[f13288]) ).
cnf(s1186,plain,
( spl0_51
| spl0_330
| spl0_331 ),
inference(sat_conversion,[],[f13295]) ).
cnf(s1268,plain,
( ~ spl0_71
| ~ spl0_291 ),
inference(sat_conversion,[],[f14280]) ).
cnf(s1288,plain,
( ~ spl0_68
| ~ spl0_291
| spl0_301 ),
inference(sat_conversion,[],[f14335]) ).
cnf(s1434,plain,
( ~ spl0_66
| spl0_298
| ~ spl0_328
| ~ spl0_374 ),
inference(sat_conversion,[],[f15695]) ).
cnf(s1436,plain,
( ~ spl0_53
| ~ spl0_139
| ~ spl0_328
| spl0_368 ),
inference(sat_conversion,[],[f15698]) ).
cnf(s1437,plain,
( ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_213
| ~ spl0_328
| ~ spl0_373 ),
inference(sat_conversion,[],[f15700]) ).
cnf(s1488,plain,
~ spl0_377,
inference(sat_conversion,[],[f16056]) ).
cnf(s1504,plain,
( ~ spl0_34
| ~ spl0_268
| ~ spl0_371
| spl0_382 ),
inference(sat_conversion,[],[f16102]) ).
cnf(s1507,plain,
( ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| spl0_373 ),
inference(sat_conversion,[],[f16113]) ).
cnf(s1559,plain,
~ spl0_300,
inference(sat_conversion,[],[f16819]) ).
cnf(s1735,plain,
( spl0_293
| spl0_320 ),
inference(sat_conversion,[],[f18315]) ).
cnf(s1738,plain,
( ~ spl0_24
| ~ spl0_48
| ~ spl0_49
| ~ spl0_139
| spl0_293 ),
inference(sat_conversion,[],[f18319]) ).
cnf(s1753,plain,
( ~ spl0_12
| spl0_26 ),
inference(sat_conversion,[],[f18438]) ).
cnf(s1774,plain,
( ~ spl0_2
| ~ spl0_22
| ~ spl0_31
| ~ spl0_38
| spl0_51
| ~ spl0_71
| spl0_394 ),
inference(sat_conversion,[],[f18700]) ).
cnf(s1789,plain,
( ~ spl0_44
| spl0_289
| spl0_293 ),
inference(sat_conversion,[],[f18889]) ).
cnf(s1793,plain,
( spl0_368
| spl0_374
| spl0_396 ),
inference(sat_conversion,[],[f18912]) ).
cnf(s1797,plain,
( ~ spl0_2
| ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_253
| ~ spl0_368
| spl0_390 ),
inference(sat_conversion,[],[f18941]) ).
cnf(s1799,plain,
( ~ spl0_71
| spl0_368
| spl0_375 ),
inference(sat_conversion,[],[f18973]) ).
cnf(s1802,plain,
( ~ spl0_68
| spl0_368
| spl0_375
| spl0_396 ),
inference(sat_conversion,[],[f18988]) ).
cnf(s1864,plain,
( ~ spl0_252
| ~ spl0_298
| ~ spl0_331
| spl0_399 ),
inference(sat_conversion,[],[f19490]) ).
cnf(s1866,plain,
( ~ spl0_253
| ~ spl0_298
| ~ spl0_331
| spl0_375 ),
inference(sat_conversion,[],[f19493]) ).
cnf(s1868,plain,
( ~ spl0_43
| spl0_298
| ~ spl0_330
| spl0_400
| ~ spl0_401 ),
inference(sat_conversion,[],[f19549]) ).
cnf(s1878,plain,
( ~ spl0_22
| ~ spl0_31
| ~ spl0_71
| ~ spl0_213
| ~ spl0_285
| ~ spl0_330 ),
inference(sat_conversion,[],[f19575]) ).
cnf(s1882,plain,
( ~ spl0_34
| ~ spl0_253
| ~ spl0_371
| spl0_375 ),
inference(sat_conversion,[],[f19588]) ).
cnf(s1885,plain,
( ~ spl0_48
| ~ spl0_139
| spl0_404 ),
inference(sat_conversion,[],[f19647]) ).
cnf(s1899,plain,
( ~ spl0_2
| spl0_29
| spl0_51
| ~ spl0_285
| spl0_298 ),
inference(sat_conversion,[],[f19865]) ).
cnf(s1900,plain,
( spl0_29
| ~ spl0_139
| spl0_407 ),
inference(sat_conversion,[],[f19869]) ).
cnf(s1903,plain,
( spl0_29
| spl0_38 ),
inference(sat_conversion,[],[f19878]) ).
cnf(s1920,plain,
( ~ spl0_2
| spl0_8
| spl0_73 ),
inference(sat_conversion,[],[f19917]) ).
cnf(s1927,plain,
( spl0_24
| ~ spl0_48 ),
inference(sat_conversion,[],[f19938]) ).
cnf(s1929,plain,
( ~ spl0_2
| spl0_8
| spl0_20 ),
inference(sat_conversion,[],[f19945]) ).
cnf(s1935,plain,
( ~ spl0_2
| spl0_8
| spl0_26
| spl0_29 ),
inference(sat_conversion,[],[f19964]) ).
cnf(s1937,plain,
( spl0_24
| spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f19969]) ).
cnf(s1939,plain,
( ~ spl0_2
| spl0_8
| spl0_29
| spl0_42 ),
inference(sat_conversion,[],[f19971]) ).
cnf(s1958,plain,
( ~ spl0_10
| spl0_14
| spl0_15
| ~ spl0_216 ),
inference(sat_conversion,[],[f20024]) ).
cnf(s1959,plain,
( ~ spl0_33
| ~ spl0_399 ),
inference(sat_conversion,[],[f20036]) ).
cnf(s1963,plain,
( ~ spl0_2
| ~ spl0_33
| spl0_119 ),
inference(sat_conversion,[],[f20061]) ).
cnf(s1966,plain,
( ~ spl0_11
| spl0_34
| ~ spl0_55
| spl0_427 ),
inference(sat_conversion,[],[f20068]) ).
cnf(s1969,plain,
( spl0_34
| ~ spl0_59
| spl0_129 ),
inference(sat_conversion,[],[f20076]) ).
cnf(s1971,plain,
( spl0_14
| spl0_34
| ~ spl0_68 ),
inference(sat_conversion,[],[f20079]) ).
cnf(s1973,plain,
( ~ spl0_2
| spl0_8
| spl0_97 ),
inference(sat_conversion,[],[f20104]) ).
cnf(s1974,plain,
( spl0_8
| spl0_91
| ~ spl0_213 ),
inference(sat_conversion,[],[f20105]) ).
cnf(s1983,plain,
( ~ spl0_23
| spl0_293 ),
inference(sat_conversion,[],[f20157]) ).
cnf(s1986,plain,
( spl0_42
| spl0_48
| spl0_51 ),
inference(sat_conversion,[],[f20160]) ).
cnf(s2002,plain,
( ~ spl0_54
| ~ spl0_139
| ~ spl0_285
| spl0_432 ),
inference(sat_conversion,[],[f20276]) ).
cnf(s2005,plain,
( ~ spl0_129
| ~ spl0_139
| ~ spl0_285 ),
inference(sat_conversion,[],[f20317]) ).
cnf(s2006,plain,
( spl0_127
| ~ spl0_129 ),
inference(sat_conversion,[],[f20318]) ).
cnf(s2007,plain,
( ~ spl0_22
| ~ spl0_31
| spl0_59
| ~ spl0_71
| spl0_268 ),
inference(sat_conversion,[],[f20320]) ).
cnf(s2011,plain,
( ~ spl0_32
| ~ spl0_288
| ~ spl0_298 ),
inference(sat_conversion,[],[f20371]) ).
cnf(s2013,plain,
( ~ spl0_10
| spl0_42
| ~ spl0_129 ),
inference(sat_conversion,[],[f20378]) ).
cnf(s2017,plain,
( spl0_34
| ~ spl0_38
| spl0_39
| ~ spl0_216 ),
inference(sat_conversion,[],[f20384]) ).
cnf(s2026,plain,
( ~ spl0_309
| ~ spl0_329
| ~ spl0_375 ),
inference(sat_conversion,[],[f20515]) ).
cnf(s2027,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_309 ),
inference(sat_conversion,[],[f20517]) ).
cnf(s2028,plain,
( ~ spl0_14
| ~ spl0_289
| ~ spl0_309 ),
inference(sat_conversion,[],[f20519]) ).
cnf(s2029,plain,
( ~ spl0_33
| ~ spl0_42 ),
inference(sat_conversion,[],[f20526]) ).
cnf(s2031,plain,
( ~ spl0_65
| spl0_368 ),
inference(sat_conversion,[],[f20530]) ).
cnf(s2040,plain,
( ~ spl0_55
| spl0_368
| ~ spl0_401
| spl0_435 ),
inference(sat_conversion,[],[f20654]) ).
cnf(s2042,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_306 ),
inference(sat_conversion,[],[f20683]) ).
cnf(s2055,plain,
( ~ spl0_14
| ~ spl0_371
| ~ spl0_405 ),
inference(sat_conversion,[],[f20757]) ).
cnf(s2057,plain,
( ~ spl0_288
| ~ spl0_331
| ~ spl0_405 ),
inference(sat_conversion,[],[f20762]) ).
cnf(s2059,plain,
( ~ spl0_4
| ~ spl0_433 ),
inference(sat_conversion,[],[f20781]) ).
cnf(s2065,plain,
( ~ spl0_34
| ~ spl0_289
| ~ spl0_433 ),
inference(sat_conversion,[],[f20793]) ).
cnf(s2070,plain,
( spl0_288
| spl0_431 ),
inference(sat_conversion,[],[f20801]) ).
cnf(s2072,plain,
( ~ spl0_33
| ~ spl0_50
| spl0_65 ),
inference(sat_conversion,[],[f20802]) ).
cnf(s2074,plain,
( spl0_19
| spl0_29
| ~ spl0_48 ),
inference(sat_conversion,[],[f20804]) ).
cnf(s2080,plain,
( ~ spl0_29
| ~ spl0_268
| ~ spl0_294 ),
inference(sat_conversion,[],[f20820]) ).
cnf(s2081,plain,
( spl0_18
| spl0_26
| ~ spl0_48 ),
inference(sat_conversion,[],[f20821]) ).
cnf(s2090,plain,
( ~ spl0_129
| spl0_368
| ~ spl0_373 ),
inference(sat_conversion,[],[f20891]) ).
cnf(s2091,plain,
( ~ spl0_329
| ~ spl0_368
| ~ spl0_433 ),
inference(sat_conversion,[],[f20892]) ).
cnf(s2093,plain,
( spl0_375
| spl0_401 ),
inference(sat_conversion,[],[f20895]) ).
cnf(s2095,plain,
( ~ spl0_10
| spl0_34
| ~ spl0_99 ),
inference(sat_conversion,[],[f20936]) ).
cnf(s2100,plain,
( ~ spl0_16
| spl0_288
| ~ spl0_330
| ~ spl0_401 ),
inference(sat_conversion,[],[f20970]) ).
cnf(s2111,plain,
( ~ spl0_285
| spl0_371
| ~ spl0_400 ),
inference(sat_conversion,[],[f21071]) ).
cnf(s2113,plain,
( ~ spl0_289
| ~ spl0_371
| ~ spl0_376 ),
inference(sat_conversion,[],[f21081]) ).
cnf(s2114,plain,
( ~ spl0_368
| ~ spl0_382 ),
inference(sat_conversion,[],[f21095]) ).
cnf(s2115,plain,
( ~ spl0_329
| ~ spl0_382 ),
inference(sat_conversion,[],[f21100]) ).
cnf(s2116,plain,
( ~ spl0_71
| spl0_375
| ~ spl0_382 ),
inference(sat_conversion,[],[f21105]) ).
cnf(s2122,plain,
( ~ spl0_22
| ~ spl0_31
| spl0_65
| ~ spl0_71
| ~ spl0_127 ),
inference(sat_conversion,[],[f21166]) ).
cnf(s2124,plain,
( ~ spl0_32
| ~ spl0_65
| spl0_305 ),
inference(sat_conversion,[],[f21177]) ).
cnf(s2130,plain,
( ~ spl0_4
| spl0_34 ),
inference(sat_conversion,[],[f21278]) ).
cnf(s2131,plain,
( ~ spl0_4
| ~ spl0_289
| ~ spl0_376 ),
inference(sat_conversion,[],[f21284]) ).
cnf(s2139,plain,
( spl0_14
| ~ spl0_19
| spl0_36 ),
inference(sat_conversion,[],[f21315]) ).
cnf(s2160,plain,
( ~ spl0_26
| ~ spl0_268
| ~ spl0_309 ),
inference(sat_conversion,[],[f21537]) ).
cnf(s2163,plain,
( ~ spl0_35
| spl0_298
| ~ spl0_330
| spl0_369 ),
inference(sat_conversion,[],[f21546]) ).
cnf(s2164,plain,
( ~ spl0_25
| spl0_298
| ~ spl0_328
| spl0_445 ),
inference(sat_conversion,[],[f21550]) ).
cnf(s2172,plain,
( spl0_15
| ~ spl0_427 ),
inference(sat_conversion,[],[f21585]) ).
cnf(s2174,plain,
( ~ spl0_320
| ~ spl0_372
| spl0_375 ),
inference(sat_conversion,[],[f21615]) ).
cnf(s2179,plain,
( ~ spl0_7
| spl0_288
| ~ spl0_328
| spl0_372
| ~ spl0_373 ),
inference(sat_conversion,[],[f21680]) ).
cnf(s2186,plain,
( ~ spl0_8
| spl0_34
| ~ spl0_42
| ~ spl0_47 ),
inference(sat_conversion,[],[f21699]) ).
cnf(s2192,plain,
( ~ spl0_8
| ~ spl0_293
| ~ spl0_294 ),
inference(sat_conversion,[],[f21736]) ).
cnf(s2194,plain,
( spl0_371
| spl0_402 ),
inference(sat_conversion,[],[f21740]) ).
cnf(s2199,plain,
( ~ spl0_216
| ~ spl0_285
| spl0_289
| ~ spl0_328
| spl0_371 ),
inference(sat_conversion,[],[f21748]) ).
cnf(s2207,plain,
( spl0_14
| spl0_34
| ~ spl0_38
| ~ spl0_48
| ~ spl0_216 ),
inference(sat_conversion,[],[f21805]) ).
cnf(s2208,plain,
( spl0_373
| spl0_446 ),
inference(sat_conversion,[],[f21817]) ).
cnf(s2211,plain,
( ~ spl0_42
| ~ spl0_397
| ~ spl0_399 ),
inference(sat_conversion,[],[f21842]) ).
cnf(s2212,plain,
( ~ spl0_8
| ~ spl0_383
| ~ spl0_399 ),
inference(sat_conversion,[],[f21844]) ).
cnf(s2213,plain,
( spl0_140
| spl0_285 ),
inference(sat_conversion,[],[f21850]) ).
cnf(s2224,plain,
( spl0_33
| ~ spl0_56
| spl0_448 ),
inference(sat_conversion,[],[f21972]) ).
cnf(s2225,plain,
( ~ spl0_56
| spl0_288 ),
inference(sat_conversion,[],[f21974]) ).
cnf(s2228,plain,
( ~ spl0_127
| spl0_128 ),
inference(sat_conversion,[],[f21982]) ).
cnf(s2232,plain,
( ~ spl0_262
| spl0_268
| ~ spl0_305 ),
inference(sat_conversion,[],[f22015]) ).
cnf(s2236,plain,
( spl0_367
| spl0_394 ),
inference(sat_conversion,[],[f22110]) ).
cnf(s2238,plain,
( spl0_51
| spl0_367
| spl0_394 ),
inference(sat_conversion,[],[f22112]) ).
cnf(s2239,plain,
( ~ spl0_26
| ~ spl0_309
| ~ spl0_394 ),
inference(sat_conversion,[],[f22130]) ).
cnf(s2240,plain,
( ~ spl0_26
| ~ spl0_72
| spl0_293
| ~ spl0_394 ),
inference(sat_conversion,[],[f22133]) ).
cnf(s2245,plain,
( ~ spl0_328
| ~ spl0_403
| ~ spl0_450 ),
inference(sat_conversion,[],[f22238]) ).
cnf(s2246,plain,
( ~ spl0_49
| spl0_293
| ~ spl0_450 ),
inference(sat_conversion,[],[f22239]) ).
cnf(s2262,plain,
( ~ spl0_32
| ~ spl0_368
| ~ spl0_375 ),
inference(sat_conversion,[],[f22333]) ).
cnf(s2263,plain,
( ~ spl0_5
| ~ spl0_289 ),
inference(sat_conversion,[],[f22348]) ).
cnf(s2264,plain,
( ~ spl0_5
| ~ spl0_371 ),
inference(sat_conversion,[],[f22350]) ).
cnf(s2269,plain,
( ~ spl0_22
| ~ spl0_140
| ~ spl0_288 ),
inference(sat_conversion,[],[f22385]) ).
cnf(s2277,plain,
( spl0_399
| spl0_451 ),
inference(sat_conversion,[],[f22442]) ).
cnf(s2279,plain,
( ~ spl0_23
| ~ spl0_397 ),
inference(sat_conversion,[],[f22463]) ).
cnf(s2280,plain,
( ~ spl0_42
| spl0_140
| ~ spl0_245
| ~ spl0_293 ),
inference(sat_conversion,[],[f22477]) ).
cnf(s2281,plain,
( ~ spl0_40
| spl0_140
| ~ spl0_365 ),
inference(sat_conversion,[],[f22515]) ).
cnf(s2282,plain,
( ~ spl0_7
| spl0_26
| ~ spl0_139
| ~ spl0_285
| spl0_365 ),
inference(sat_conversion,[],[f22516]) ).
cnf(s2287,plain,
( ~ spl0_26
| ~ spl0_405
| ~ spl0_443 ),
inference(sat_conversion,[],[f22552]) ).
cnf(s2289,plain,
( ~ spl0_42
| ~ spl0_293
| ~ spl0_433 ),
inference(sat_conversion,[],[f22565]) ).
cnf(s2292,plain,
( spl0_34
| ~ spl0_47
| ~ spl0_368
| ~ spl0_446 ),
inference(sat_conversion,[],[f22625]) ).
cnf(s2297,plain,
( ~ spl0_41
| ~ spl0_394 ),
inference(sat_conversion,[],[f22638]) ).
cnf(s2302,plain,
( ~ spl0_14
| ~ spl0_371
| ~ spl0_448 ),
inference(sat_conversion,[],[f22728]) ).
cnf(s2310,plain,
( ~ spl0_2
| ~ spl0_38
| ~ spl0_41
| spl0_452 ),
inference(sat_conversion,[],[f22802]) ).
cnf(s2311,plain,
( spl0_140
| ~ spl0_452 ),
inference(sat_conversion,[],[f22809]) ).
cnf(s2320,plain,
( ~ spl0_26
| ~ spl0_41 ),
inference(sat_conversion,[],[f23012]) ).
cnf(s2325,plain,
( ~ spl0_22
| ~ spl0_375
| ~ spl0_446 ),
inference(sat_conversion,[],[f23066]) ).
cnf(s2336,plain,
( ~ spl0_41
| ~ spl0_49
| ~ spl0_367
| ~ spl0_445 ),
inference(sat_conversion,[],[f23354]) ).
cnf(s2337,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_370
| ~ spl0_445 ),
inference(sat_conversion,[],[f23355]) ).
cnf(s2339,plain,
( spl0_289
| spl0_325
| ~ spl0_327 ),
inference(sat_conversion,[],[f23384]) ).
cnf(s2345,plain,
( ~ spl0_23
| ~ spl0_368
| spl0_405 ),
inference(sat_conversion,[],[f23399]) ).
cnf(s2347,plain,
( ~ spl0_41
| ~ spl0_61
| ~ spl0_330
| ~ spl0_373
| ~ spl0_403 ),
inference(sat_conversion,[],[f23402]) ).
cnf(s2350,plain,
( ~ spl0_23
| ~ spl0_298
| spl0_309 ),
inference(sat_conversion,[],[f23405]) ).
cnf(s2356,plain,
( ~ spl0_321
| ~ spl0_330
| spl0_369 ),
inference(sat_conversion,[],[f23420]) ).
cnf(s2357,plain,
( ~ spl0_23
| spl0_306
| ~ spl0_452 ),
inference(sat_conversion,[],[f23441]) ).
cnf(s2359,plain,
( ~ spl0_291
| ~ spl0_452 ),
inference(sat_conversion,[],[f23448]) ).
cnf(s2360,plain,
( ~ spl0_291
| ~ spl0_298 ),
inference(sat_conversion,[],[f23450]) ).
cnf(s2361,plain,
( ~ spl0_65
| ~ spl0_291 ),
inference(sat_conversion,[],[f23452]) ).
cnf(s2363,plain,
( ~ spl0_10
| ~ spl0_35
| ~ spl0_49
| spl0_71 ),
inference(sat_conversion,[],[f23455]) ).
cnf(s2374,plain,
( ~ spl0_41
| ~ spl0_262
| spl0_454 ),
inference(sat_conversion,[],[f23542]) ).
cnf(s2377,plain,
( ~ spl0_22
| ~ spl0_140
| ~ spl0_454 ),
inference(sat_conversion,[],[f23550]) ).
cnf(s2386,plain,
( ~ spl0_375
| ~ spl0_382 ),
inference(sat_conversion,[],[f23632]) ).
cnf(s2387,plain,
( ~ spl0_140
| ~ spl0_291 ),
inference(sat_conversion,[],[f23636]) ).
cnf(s2389,plain,
( spl0_289
| spl0_370 ),
inference(sat_conversion,[],[f23640]) ).
cnf(s2403,plain,
( spl0_34
| spl0_366
| spl0_368 ),
inference(sat_conversion,[],[f23713]) ).
cnf(s2408,plain,
( ~ spl0_330
| spl0_399
| spl0_404 ),
inference(sat_conversion,[],[f23760]) ).
cnf(s2410,plain,
( ~ spl0_25
| ~ spl0_330
| spl0_368
| spl0_445 ),
inference(sat_conversion,[],[f23764]) ).
cnf(s2431,plain,
( ~ spl0_35
| ~ spl0_328
| spl0_368
| spl0_369 ),
inference(sat_conversion,[],[f23902]) ).
cnf(s2435,plain,
( ~ spl0_35
| ~ spl0_285
| ~ spl0_328
| ~ spl0_367
| spl0_368 ),
inference(sat_conversion,[],[f23931]) ).
cnf(s2438,plain,
( spl0_26
| spl0_368
| spl0_437 ),
inference(sat_conversion,[],[f23956]) ).
cnf(s2441,plain,
( ~ spl0_11
| spl0_42
| ~ spl0_449 ),
inference(sat_conversion,[],[f23959]) ).
cnf(s2443,plain,
( ~ spl0_38
| ~ spl0_45
| ~ spl0_48
| spl0_99 ),
inference(sat_conversion,[],[f24006]) ).
cnf(s2444,plain,
( ~ spl0_99
| spl0_368
| ~ spl0_451 ),
inference(sat_conversion,[],[f24023]) ).
cnf(s2447,plain,
( ~ spl0_1
| spl0_29
| spl0_34 ),
inference(sat_conversion,[],[f24065]) ).
cnf(s2449,plain,
( spl0_29
| spl0_368
| spl0_439 ),
inference(sat_conversion,[],[f24067]) ).
cnf(s2450,plain,
( ~ spl0_1
| spl0_140
| spl0_289 ),
inference(sat_conversion,[],[f24068]) ).
cnf(s2451,plain,
( ~ spl0_22
| ~ spl0_26
| ~ spl0_29 ),
inference(sat_conversion,[],[f24069]) ).
cnf(s2453,plain,
( ~ spl0_29
| ~ spl0_294
| ~ spl0_394 ),
inference(sat_conversion,[],[f24071]) ).
cnf(s2461,plain,
( ~ spl0_294
| ~ spl0_329
| ~ spl0_446 ),
inference(sat_conversion,[],[f24108]) ).
cnf(s2463,plain,
( ~ spl0_26
| ~ spl0_74
| spl0_140
| ~ spl0_394 ),
inference(sat_conversion,[],[f24173]) ).
cnf(s2473,plain,
( spl0_293
| spl0_324
| ~ spl0_327 ),
inference(sat_conversion,[],[f24316]) ).
cnf(s2475,plain,
( spl0_399
| ~ spl0_439
| spl0_460 ),
inference(sat_conversion,[],[f24424]) ).
cnf(s2476,plain,
( spl0_66
| spl0_368
| spl0_443 ),
inference(sat_conversion,[],[f24466]) ).
cnf(s2479,plain,
( ~ spl0_298
| ~ spl0_331
| ~ spl0_397 ),
inference(sat_conversion,[],[f24501]) ).
cnf(s2484,plain,
( spl0_268
| spl0_462 ),
inference(sat_conversion,[],[f24717]) ).
cnf(s2493,plain,
( spl0_288
| spl0_289
| spl0_300
| ~ spl0_427 ),
inference(sat_conversion,[],[f24801]) ).
cnf(s2494,plain,
( ~ spl0_91
| spl0_140
| spl0_293
| spl0_300 ),
inference(sat_conversion,[],[f24843]) ).
cnf(s2495,plain,
( ~ spl0_42
| ~ spl0_91
| spl0_140
| spl0_300
| ~ spl0_433 ),
inference(sat_conversion,[],[f24845]) ).
cnf(s2497,plain,
( ~ spl0_97
| spl0_140
| spl0_288
| spl0_300 ),
inference(sat_conversion,[],[f24859]) ).
cnf(s2499,plain,
( ~ spl0_83
| spl0_140
| spl0_288 ),
inference(sat_conversion,[],[f24870]) ).
cnf(s2503,plain,
( ~ spl0_15
| spl0_288
| spl0_289 ),
inference(sat_conversion,[],[f24940]) ).
cnf(s2504,plain,
( ~ spl0_15
| spl0_33
| spl0_469 ),
inference(sat_conversion,[],[f24944]) ).
cnf(s2809,plain,
( ~ spl0_22
| ~ spl0_32
| spl0_276
| ~ spl0_312 ),
inference(sat_conversion,[],[f27318]) ).
cnf(s2820,plain,
( spl0_288
| spl0_301
| ~ spl0_390 ),
inference(sat_conversion,[],[f27468]) ).
cnf(s2851,plain,
~ spl0_396,
inference(sat_conversion,[],[f27709]) ).
cnf(s2908,plain,
( ~ spl0_22
| spl0_140
| ~ spl0_213
| ~ spl0_245
| spl0_288
| ~ spl0_298
| spl0_305 ),
inference(sat_conversion,[],[f28787]) ).
cnf(s2910,plain,
( ~ spl0_268
| ~ spl0_376 ),
inference(sat_conversion,[],[f28822]) ).
cnf(s2918,plain,
( spl0_140
| ~ spl0_213
| ~ spl0_245
| spl0_294
| ~ spl0_298
| ~ spl0_383
| spl0_618 ),
inference(sat_conversion,[],[f28961]) ).
cnf(s2939,plain,
( spl0_301
| spl0_621
| spl0_622 ),
inference(sat_conversion,[],[f29726]) ).
cnf(s2940,plain,
( spl0_301
| spl0_623
| spl0_624 ),
inference(sat_conversion,[],[f29733]) ).
cnf(s2945,plain,
( ~ spl0_24
| ~ spl0_401
| ~ spl0_451
| ~ spl0_621
| spl0_629 ),
inference(sat_conversion,[],[f29876]) ).
cnf(s2961,plain,
( ~ spl0_383
| ~ spl0_622
| ~ spl0_630 ),
inference(sat_conversion,[],[f29958]) ).
cnf(s2963,plain,
( spl0_140
| ~ spl0_213
| ~ spl0_245
| ~ spl0_298
| ~ spl0_383
| ~ spl0_622
| ~ spl0_630 ),
inference(sat_conversion,[],[f29960]) ).
cnf(s2974,plain,
( spl0_300
| ~ spl0_376
| ~ spl0_622
| spl0_639 ),
inference(sat_conversion,[],[f29998]) ).
cnf(s2979,plain,
( ~ spl0_325
| ~ spl0_627
| ~ spl0_628
| ~ spl0_639 ),
inference(sat_conversion,[],[f30102]) ).
cnf(s2987,plain,
( ~ spl0_2
| spl0_140
| ~ spl0_628
| ~ spl0_639 ),
inference(sat_conversion,[],[f30123]) ).
cnf(s2992,plain,
( ~ spl0_216
| ~ spl0_285
| spl0_289
| ~ spl0_639
| spl0_640 ),
inference(sat_conversion,[],[f30130]) ).
cnf(s2993,plain,
( spl0_55
| spl0_368
| spl0_399 ),
inference(sat_conversion,[],[f30131]) ).
cnf(s2997,plain,
( spl0_140
| ~ spl0_213
| ~ spl0_245
| ~ spl0_298
| spl0_630
| ~ spl0_639 ),
inference(sat_conversion,[],[f30138]) ).
cnf(s2999,plain,
( spl0_628
| spl0_630 ),
inference(sat_conversion,[],[f30161]) ).
cnf(s3003,plain,
( spl0_635
| spl0_640 ),
inference(sat_conversion,[],[f30185]) ).
cnf(s3013,plain,
( ~ spl0_8
| ~ spl0_629
| ~ spl0_645 ),
inference(sat_conversion,[],[f30294]) ).
cnf(s3014,plain,
( ~ spl0_11
| spl0_371
| ~ spl0_437
| spl0_649 ),
inference(sat_conversion,[],[f30298]) ).
cnf(s3015,plain,
( ~ spl0_38
| ~ spl0_49
| ~ spl0_325
| spl0_394 ),
inference(sat_conversion,[],[f30300]) ).
cnf(s3020,plain,
( ~ spl0_38
| ~ spl0_49
| spl0_443
| ~ spl0_460 ),
inference(sat_conversion,[],[f30311]) ).
cnf(s3022,plain,
( spl0_301
| spl0_328
| spl0_329 ),
inference(sat_conversion,[],[f30318]) ).
cnf(s3023,plain,
( ~ spl0_40
| ~ spl0_66
| spl0_368
| spl0_371 ),
inference(sat_conversion,[],[f30319]) ).
cnf(s3025,plain,
( spl0_5
| ~ spl0_618
| spl0_654 ),
inference(sat_conversion,[],[f30327]) ).
cnf(s3027,plain,
( spl0_371
| ~ spl0_439
| spl0_655 ),
inference(sat_conversion,[],[f30333]) ).
cnf(s3028,plain,
( ~ spl0_38
| spl0_371
| ~ spl0_465 ),
inference(sat_conversion,[],[f30334]) ).
cnf(s3031,plain,
( ~ spl0_243
| ~ spl0_298
| ~ spl0_331
| spl0_371 ),
inference(sat_conversion,[],[f30338]) ).
cnf(s3033,plain,
( spl0_34
| ~ spl0_38
| ~ spl0_216
| spl0_368
| spl0_371 ),
inference(sat_conversion,[],[f30341]) ).
cnf(s3036,plain,
( ~ spl0_5
| ~ spl0_640 ),
inference(sat_conversion,[],[f30353]) ).
cnf(s3038,plain,
( ~ spl0_382
| ~ spl0_446 ),
inference(sat_conversion,[],[f30386]) ).
cnf(s3041,plain,
( ~ spl0_40
| ~ spl0_382
| ~ spl0_438 ),
inference(sat_conversion,[],[f30404]) ).
cnf(s3042,plain,
( ~ spl0_312
| ~ spl0_382
| spl0_396 ),
inference(sat_conversion,[],[f30405]) ).
cnf(s3046,plain,
( ~ spl0_630
| ~ spl0_646 ),
inference(sat_conversion,[],[f30430]) ).
cnf(s3053,plain,
( ~ spl0_437
| ~ spl0_621
| ~ spl0_627
| spl0_634 ),
inference(sat_conversion,[],[f30574]) ).
cnf(s3054,plain,
( ~ spl0_621
| ~ spl0_635
| ~ spl0_649 ),
inference(sat_conversion,[],[f30576]) ).
cnf(s3059,plain,
( ~ spl0_366
| ~ spl0_624
| spl0_633 ),
inference(sat_conversion,[],[f30634]) ).
cnf(s3076,plain,
( ~ spl0_305
| ~ spl0_451
| ~ spl0_634 ),
inference(sat_conversion,[],[f30798]) ).
cnf(s3077,plain,
( ~ spl0_399
| ~ spl0_629
| ~ spl0_637 ),
inference(sat_conversion,[],[f30808]) ).
cnf(s3091,plain,
( ~ spl0_49
| spl0_368
| spl0_438
| ~ spl0_440 ),
inference(sat_conversion,[],[f30963]) ).
cnf(s3092,plain,
( ~ spl0_26
| ~ spl0_74
| ~ spl0_443
| spl0_446 ),
inference(sat_conversion,[],[f30965]) ).
cnf(s3094,plain,
( ~ spl0_74
| spl0_446
| ~ spl0_622
| ~ spl0_662 ),
inference(sat_conversion,[],[f30971]) ).
cnf(s3098,plain,
( ~ spl0_74
| ~ spl0_288
| ~ spl0_331
| spl0_446 ),
inference(sat_conversion,[],[f30977]) ).
cnf(s3104,plain,
( ~ spl0_5
| spl0_12
| ~ spl0_15 ),
inference(sat_conversion,[],[f30990]) ).
cnf(s3106,plain,
( ~ spl0_12
| spl0_375 ),
inference(sat_conversion,[],[f31002]) ).
cnf(s3108,plain,
( ~ spl0_12
| spl0_33
| spl0_393 ),
inference(sat_conversion,[],[f31004]) ).
cnf(s3114,plain,
( ~ spl0_32
| spl0_139
| ~ spl0_288 ),
inference(sat_conversion,[],[f31039]) ).
cnf(s3117,plain,
( ~ spl0_139
| spl0_599 ),
inference(sat_conversion,[],[f31077]) ).
cnf(s3120,plain,
( spl0_627
| spl0_662 ),
inference(sat_conversion,[],[f31102]) ).
cnf(s3127,plain,
( ~ spl0_328
| spl0_372
| ~ spl0_431
| ~ spl0_440 ),
inference(sat_conversion,[],[f31316]) ).
cnf(s3129,plain,
( ~ spl0_328
| spl0_394
| spl0_658 ),
inference(sat_conversion,[],[f31319]) ).
cnf(s3134,plain,
( spl0_631
| spl0_666 ),
inference(sat_conversion,[],[f31377]) ).
cnf(s3135,plain,
( ~ spl0_26
| ~ spl0_631
| ~ spl0_647 ),
inference(sat_conversion,[],[f31384]) ).
cnf(s3137,plain,
( ~ spl0_324
| ~ spl0_328
| ~ spl0_401 ),
inference(sat_conversion,[],[f31399]) ).
cnf(s3138,plain,
( ~ spl0_11
| spl0_289
| ~ spl0_324 ),
inference(sat_conversion,[],[f31400]) ).
cnf(s3143,plain,
( ~ spl0_11
| ~ spl0_382
| ~ spl0_435 ),
inference(sat_conversion,[],[f31508]) ).
cnf(s3144,plain,
( ~ spl0_450
| ~ spl0_639
| ~ spl0_666 ),
inference(sat_conversion,[],[f31523]) ).
cnf(s3146,plain,
( ~ spl0_622
| ~ spl0_646 ),
inference(sat_conversion,[],[f31537]) ).
cnf(s3166,plain,
( ~ spl0_2
| ~ spl0_373
| ~ spl0_624
| spl0_630 ),
inference(sat_conversion,[],[f31670]) ).
cnf(s3169,plain,
( ~ spl0_367
| spl0_368
| ~ spl0_372 ),
inference(sat_conversion,[],[f31706]) ).
cnf(s3173,plain,
( ~ spl0_139
| ~ spl0_321
| spl0_597 ),
inference(sat_conversion,[],[f31775]) ).
cnf(s3174,plain,
( spl0_66
| spl0_394
| ~ spl0_599 ),
inference(sat_conversion,[],[f31801]) ).
cnf(s3178,plain,
( spl0_301
| spl0_330
| spl0_331 ),
inference(sat_conversion,[],[f31806]) ).
cnf(s3185,plain,
( ~ spl0_38
| spl0_443
| ~ spl0_655 ),
inference(sat_conversion,[],[f31815]) ).
cnf(s3187,plain,
( ~ spl0_2
| spl0_29
| ~ spl0_32
| ~ spl0_628
| ~ spl0_662 ),
inference(sat_conversion,[],[f31817]) ).
cnf(s3191,plain,
( ~ spl0_38
| ~ spl0_139
| spl0_632
| ~ spl0_643 ),
inference(sat_conversion,[],[f31824]) ).
cnf(s3197,plain,
( spl0_55
| spl0_293
| ~ spl0_599 ),
inference(sat_conversion,[],[f31833]) ).
cnf(s3200,plain,
( ~ spl0_2
| spl0_29
| spl0_368
| ~ spl0_373 ),
inference(sat_conversion,[],[f31839]) ).
cnf(s3204,plain,
( spl0_29
| ~ spl0_213
| spl0_368
| ~ spl0_373 ),
inference(sat_conversion,[],[f31847]) ).
cnf(s3212,plain,
( ~ spl0_366
| spl0_375
| spl0_672 ),
inference(sat_conversion,[],[f31860]) ).
cnf(s3213,plain,
( ~ spl0_38
| spl0_368
| spl0_632
| ~ spl0_633 ),
inference(sat_conversion,[],[f31861]) ).
cnf(s3217,plain,
( ~ spl0_2
| spl0_29
| spl0_312 ),
inference(sat_conversion,[],[f31875]) ).
cnf(s3237,plain,
( spl0_33
| ~ spl0_375
| spl0_405 ),
inference(sat_conversion,[],[f32021]) ).
cnf(s3254,plain,
( ~ spl0_74
| ~ spl0_375
| ~ spl0_623
| spl0_630 ),
inference(sat_conversion,[],[f32288]) ).
cnf(s3257,plain,
( ~ spl0_26
| ~ spl0_74
| spl0_630
| ~ spl0_631 ),
inference(sat_conversion,[],[f32297]) ).
cnf(s3277,plain,
( ~ spl0_465
| ~ spl0_621
| ~ spl0_666 ),
inference(sat_conversion,[],[f32422]) ).
cnf(s3280,plain,
( ~ spl0_446
| ~ spl0_623
| ~ spl0_645 ),
inference(sat_conversion,[],[f32450]) ).
cnf(s3286,plain,
( ~ spl0_372
| spl0_396
| ~ spl0_624
| spl0_678 ),
inference(sat_conversion,[],[f32501]) ).
cnf(s3287,plain,
( ~ spl0_294
| ~ spl0_630
| ~ spl0_678 ),
inference(sat_conversion,[],[f32511]) ).
cnf(s3288,plain,
( ~ spl0_433
| ~ spl0_632
| ~ spl0_678 ),
inference(sat_conversion,[],[f32513]) ).
cnf(s3290,plain,
( spl0_29
| ~ spl0_74
| ~ spl0_288
| ~ spl0_298 ),
inference(sat_conversion,[],[f32515]) ).
cnf(s3291,plain,
( ~ spl0_29
| ~ spl0_631
| ~ spl0_645 ),
inference(sat_conversion,[],[f32516]) ).
cnf(s3292,plain,
( ~ spl0_330
| ~ spl0_367
| ~ spl0_465 ),
inference(sat_conversion,[],[f32517]) ).
cnf(s3298,plain,
( ~ spl0_26
| spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f32526]) ).
cnf(s3318,plain,
( spl0_54
| spl0_368
| spl0_371 ),
inference(sat_conversion,[],[f32644]) ).
cnf(s3320,plain,
( ~ spl0_11
| spl0_140
| ~ spl0_430 ),
inference(sat_conversion,[],[f32646]) ).
cnf(s3334,plain,
( ~ spl0_33
| ~ spl0_293 ),
inference(sat_conversion,[],[f32685]) ).
cnf(s3338,plain,
( ~ spl0_285
| ~ spl0_330
| ~ spl0_431
| ~ spl0_460 ),
inference(sat_conversion,[],[f32690]) ).
cnf(s3339,plain,
( ~ spl0_35
| spl0_298
| ~ spl0_330
| ~ spl0_373
| ~ spl0_403 ),
inference(sat_conversion,[],[f32691]) ).
cnf(s3350,plain,
( ~ spl0_29
| ~ spl0_130
| ~ spl0_394 ),
inference(sat_conversion,[],[f32777]) ).
cnf(s3354,plain,
( ~ spl0_29
| ~ spl0_383
| ~ spl0_443 ),
inference(sat_conversion,[],[f32791]) ).
cnf(s3356,plain,
( ~ spl0_291
| ~ spl0_331 ),
inference(sat_conversion,[],[f32794]) ).
cnf(s3358,plain,
( ~ spl0_288
| ~ spl0_291 ),
inference(sat_conversion,[],[f32797]) ).
cnf(s3360,plain,
( ~ spl0_1
| spl0_5
| spl0_47 ),
inference(sat_conversion,[],[f32810]) ).
cnf(s3363,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_33
| spl0_416 ),
inference(sat_conversion,[],[f32842]) ).
cnf(s3368,plain,
( ~ spl0_31
| ~ spl0_140
| ~ spl0_298 ),
inference(sat_conversion,[],[f32865]) ).
cnf(s3386,plain,
( ~ spl0_31
| ~ spl0_368
| ~ spl0_446 ),
inference(sat_conversion,[],[f32959]) ).
cnf(s3387,plain,
( ~ spl0_126
| ~ spl0_368
| ~ spl0_446 ),
inference(sat_conversion,[],[f32961]) ).
cnf(s3395,plain,
( ~ spl0_330
| ~ spl0_373
| ~ spl0_432 ),
inference(sat_conversion,[],[f33066]) ).
cnf(s3405,plain,
( spl0_14
| ~ spl0_26
| ~ spl0_29
| ~ spl0_47 ),
inference(sat_conversion,[],[f33146]) ).
cnf(s3407,plain,
( ~ spl0_2
| ~ spl0_31
| ~ spl0_285
| ~ spl0_330
| ~ spl0_368 ),
inference(sat_conversion,[],[f33169]) ).
cnf(s3410,plain,
( spl0_42
| ~ spl0_139
| spl0_404 ),
inference(sat_conversion,[],[f33172]) ).
cnf(s3415,plain,
( spl0_371
| ~ spl0_621
| spl0_680 ),
inference(sat_conversion,[],[f33279]) ).
cnf(s3418,plain,
( ~ spl0_3
| ~ spl0_373
| ~ spl0_402
| ~ spl0_621
| spl0_640 ),
inference(sat_conversion,[],[f33285]) ).
cnf(s3421,plain,
( ~ spl0_7
| spl0_375
| ~ spl0_621
| ~ spl0_628
| spl0_634 ),
inference(sat_conversion,[],[f33290]) ).
cnf(s3422,plain,
( ~ spl0_216
| spl0_371
| ~ spl0_373
| ~ spl0_621
| spl0_640 ),
inference(sat_conversion,[],[f33291]) ).
cnf(s3427,plain,
( ~ spl0_1
| spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f33318]) ).
cnf(s3428,plain,
( ~ spl0_1
| ~ spl0_31
| ~ spl0_368
| spl0_371 ),
inference(sat_conversion,[],[f33319]) ).
cnf(s3429,plain,
( ~ spl0_47
| ~ spl0_140
| ~ spl0_331
| spl0_371 ),
inference(sat_conversion,[],[f33320]) ).
cnf(s3430,plain,
( ~ spl0_140
| ~ spl0_331
| ~ spl0_383 ),
inference(sat_conversion,[],[f33322]) ).
cnf(s3431,plain,
( ~ spl0_126
| ~ spl0_140
| ~ spl0_331 ),
inference(sat_conversion,[],[f33323]) ).
cnf(s3440,plain,
( ~ spl0_66
| ~ spl0_139
| spl0_600 ),
inference(sat_conversion,[],[f33421]) ).
cnf(s3444,plain,
( ~ spl0_293
| ~ spl0_629
| ~ spl0_677 ),
inference(sat_conversion,[],[f33461]) ).
cnf(s3445,plain,
( ~ spl0_289
| ~ spl0_640
| ~ spl0_677 ),
inference(sat_conversion,[],[f33464]) ).
cnf(s3456,plain,
( ~ spl0_16
| ~ spl0_401
| ~ spl0_621
| spl0_662 ),
inference(sat_conversion,[],[f33588]) ).
cnf(s3474,plain,
( ~ spl0_34
| ~ spl0_252
| spl0_629
| ~ spl0_640 ),
inference(sat_conversion,[],[f33963]) ).
cnf(s3479,plain,
( spl0_61
| spl0_371
| ~ spl0_631
| ~ spl0_637 ),
inference(sat_conversion,[],[f34044]) ).
cnf(s3480,plain,
( ~ spl0_2
| ~ spl0_31
| ~ spl0_38
| ~ spl0_368
| ~ spl0_631
| ~ spl0_637 ),
inference(sat_conversion,[],[f34045]) ).
cnf(s3481,plain,
( ~ spl0_7
| ~ spl0_38
| spl0_375
| spl0_465
| ~ spl0_631
| ~ spl0_637 ),
inference(sat_conversion,[],[f34046]) ).
cnf(s3483,plain,
( spl0_39
| ~ spl0_40
| ~ spl0_66 ),
inference(sat_conversion,[],[f34049]) ).
cnf(s3485,plain,
( spl0_34
| ~ spl0_66
| spl0_129 ),
inference(sat_conversion,[],[f34055]) ).
cnf(s3488,plain,
( ~ spl0_36
| spl0_97 ),
inference(sat_conversion,[],[f34065]) ).
cnf(s3500,plain,
( ~ spl0_371
| ~ spl0_637
| ~ spl0_640 ),
inference(sat_conversion,[],[f34127]) ).
cnf(s3501,plain,
( ~ spl0_26
| spl0_371
| ~ spl0_443
| ~ spl0_469 ),
inference(sat_conversion,[],[f34129]) ).
cnf(s3508,plain,
( ~ spl0_320
| ~ spl0_330
| spl0_375
| ~ spl0_416 ),
inference(sat_conversion,[],[f34255]) ).
cnf(s3516,plain,
( spl0_399
| ~ spl0_444
| spl0_688 ),
inference(sat_conversion,[],[f34512]) ).
cnf(s3517,plain,
( ~ spl0_328
| ~ spl0_330
| spl0_372 ),
inference(sat_conversion,[],[f34590]) ).
cnf(s3519,plain,
( ~ spl0_402
| spl0_630
| ~ spl0_634 ),
inference(sat_conversion,[],[f34595]) ).
cnf(s3527,plain,
( ~ spl0_129
| ~ spl0_397
| ~ spl0_622
| ~ spl0_628 ),
inference(sat_conversion,[],[f34670]) ).
cnf(s3530,plain,
( ~ spl0_2
| spl0_29
| ~ spl0_397
| ~ spl0_622
| ~ spl0_628 ),
inference(sat_conversion,[],[f34679]) ).
cnf(s3533,plain,
( ~ spl0_11
| ~ spl0_40
| spl0_371
| ~ spl0_688 ),
inference(sat_conversion,[],[f34683]) ).
cnf(s3536,plain,
( ~ spl0_48
| spl0_293
| ~ spl0_600 ),
inference(sat_conversion,[],[f34686]) ).
cnf(s3538,plain,
( spl0_298
| ~ spl0_328
| spl0_444 ),
inference(sat_conversion,[],[f34688]) ).
cnf(s3539,plain,
( spl0_298
| ~ spl0_404
| spl0_692 ),
inference(sat_conversion,[],[f34692]) ).
cnf(s3540,plain,
( spl0_29
| ~ spl0_74
| ~ spl0_368
| ~ spl0_375 ),
inference(sat_conversion,[],[f34693]) ).
cnf(s3543,plain,
( ~ spl0_40
| spl0_289
| ~ spl0_600 ),
inference(sat_conversion,[],[f34699]) ).
cnf(s3544,plain,
( spl0_293
| ~ spl0_328
| ~ spl0_330
| spl0_694 ),
inference(sat_conversion,[],[f34703]) ).
cnf(s3545,plain,
( ~ spl0_38
| spl0_394
| ~ spl0_407
| spl0_450 ),
inference(sat_conversion,[],[f34705]) ).
cnf(s3547,plain,
( ~ spl0_328
| ~ spl0_330
| spl0_394
| spl0_450 ),
inference(sat_conversion,[],[f34707]) ).
cnf(s3548,plain,
( spl0_293
| ~ spl0_328
| spl0_440 ),
inference(sat_conversion,[],[f34708]) ).
cnf(s3550,plain,
( spl0_289
| ~ spl0_328
| ~ spl0_330
| spl0_696 ),
inference(sat_conversion,[],[f34716]) ).
cnf(s3560,plain,
( ~ spl0_12
| ~ spl0_368
| ~ spl0_393 ),
inference(sat_conversion,[],[f34809]) ).
cnf(s3562,plain,
( ~ spl0_328
| ~ spl0_402
| ~ spl0_696 ),
inference(sat_conversion,[],[f34826]) ).
cnf(s3567,plain,
( spl0_140
| ~ spl0_404
| spl0_698 ),
inference(sat_conversion,[],[f34835]) ).
cnf(s3569,plain,
( ~ spl0_10
| ~ spl0_369
| spl0_375
| ~ spl0_431 ),
inference(sat_conversion,[],[f34837]) ).
cnf(s3570,plain,
( ~ spl0_11
| spl0_293
| ~ spl0_696 ),
inference(sat_conversion,[],[f34838]) ).
cnf(s3572,plain,
( ~ spl0_40
| spl0_140
| spl0_432
| ~ spl0_673 ),
inference(sat_conversion,[],[f34840]) ).
cnf(s3573,plain,
( ~ spl0_48
| spl0_288
| spl0_430
| ~ spl0_673 ),
inference(sat_conversion,[],[f34841]) ).
cnf(s3574,plain,
( spl0_288
| ~ spl0_404
| spl0_699 ),
inference(sat_conversion,[],[f34845]) ).
cnf(s3576,plain,
( ~ spl0_5
| ~ spl0_42
| ~ spl0_243
| ~ spl0_293 ),
inference(sat_conversion,[],[f34869]) ).
cnf(s3579,plain,
( ~ spl0_139
| ~ spl0_404
| spl0_692 ),
inference(sat_conversion,[],[f34899]) ).
cnf(s3583,plain,
( ~ spl0_291
| ~ spl0_432
| spl0_524 ),
inference(sat_conversion,[],[f34955]) ).
cnf(s3586,plain,
( spl0_382
| ~ spl0_622
| spl0_637 ),
inference(sat_conversion,[],[f34991]) ).
cnf(s3587,plain,
( spl0_140
| ~ spl0_622
| ~ spl0_630
| ~ spl0_654 ),
inference(sat_conversion,[],[f34993]) ).
cnf(s3588,plain,
( ~ spl0_397
| ~ spl0_462
| ~ spl0_622
| spl0_665
| ~ spl0_666 ),
inference(sat_conversion,[],[f35021]) ).
cnf(s3592,plain,
( ~ spl0_10
| spl0_289
| ~ spl0_694 ),
inference(sat_conversion,[],[f35072]) ).
cnf(s3596,plain,
( spl0_321
| ~ spl0_330
| spl0_371 ),
inference(sat_conversion,[],[f35077]) ).
cnf(s3598,plain,
( ~ spl0_3
| ~ spl0_38
| ~ spl0_40
| ~ spl0_397
| ~ spl0_622
| spl0_640 ),
inference(sat_conversion,[],[f35080]) ).
cnf(s3599,plain,
( spl0_34
| ~ spl0_139
| spl0_321 ),
inference(sat_conversion,[],[f35081]) ).
cnf(s3600,plain,
( ~ spl0_38
| spl0_289
| ~ spl0_450 ),
inference(sat_conversion,[],[f35082]) ).
cnf(s3601,plain,
( ~ spl0_11
| ~ spl0_285
| ~ spl0_330
| ~ spl0_404
| spl0_446 ),
inference(sat_conversion,[],[f35083]) ).
cnf(s3602,plain,
( ~ spl0_216
| spl0_289
| ~ spl0_330
| spl0_371
| ~ spl0_373 ),
inference(sat_conversion,[],[f35087]) ).
cnf(s3603,plain,
( spl0_34
| ~ spl0_38
| ~ spl0_139
| ~ spl0_216
| spl0_289 ),
inference(sat_conversion,[],[f35088]) ).
cnf(s3604,plain,
( spl0_34
| ~ spl0_38
| ~ spl0_216
| ~ spl0_397
| ~ spl0_622
| spl0_640 ),
inference(sat_conversion,[],[f35089]) ).
cnf(s3611,plain,
( ~ spl0_34
| ~ spl0_371
| ~ spl0_397 ),
inference(sat_conversion,[],[f35151]) ).
cnf(s3615,plain,
( ~ spl0_330
| spl0_407
| spl0_446 ),
inference(sat_conversion,[],[f35162]) ).
cnf(s3618,plain,
( spl0_34
| spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f35165]) ).
cnf(s3631,plain,
( ~ spl0_639
| spl0_643
| ~ spl0_680 ),
inference(sat_conversion,[],[f35324]) ).
cnf(s3636,plain,
( ~ spl0_443
| ~ spl0_631
| ~ spl0_637 ),
inference(sat_conversion,[],[f35472]) ).
cnf(s3640,plain,
( ~ spl0_48
| spl0_368
| spl0_440 ),
inference(sat_conversion,[],[f35663]) ).
cnf(s3641,plain,
( spl0_43
| ~ spl0_48 ),
inference(sat_conversion,[],[f35664]) ).
cnf(s3646,plain,
( ~ spl0_5
| ~ spl0_40
| spl0_696
| ~ spl0_700 ),
inference(sat_conversion,[],[f35728]) ).
cnf(s3662,plain,
( ~ spl0_10
| ~ spl0_49
| spl0_288
| ~ spl0_597 ),
inference(sat_conversion,[],[f35746]) ).
cnf(s3663,plain,
( ~ spl0_40
| ~ spl0_49
| spl0_298
| ~ spl0_698 ),
inference(sat_conversion,[],[f35747]) ).
cnf(s3664,plain,
( ~ spl0_38
| ~ spl0_139
| spl0_368
| ~ spl0_369 ),
inference(sat_conversion,[],[f35748]) ).
cnf(s3670,plain,
( ~ spl0_330
| ~ spl0_373
| ~ spl0_403
| ~ spl0_597 ),
inference(sat_conversion,[],[f35755]) ).
cnf(s3671,plain,
( ~ spl0_10
| ~ spl0_40
| spl0_446
| ~ spl0_695 ),
inference(sat_conversion,[],[f35756]) ).
cnf(s3675,plain,
( spl0_5
| ~ spl0_8
| spl0_22 ),
inference(sat_conversion,[],[f35761]) ).
cnf(s3679,plain,
( ~ spl0_23
| ~ spl0_637 ),
inference(sat_conversion,[],[f35789]) ).
cnf(s3687,plain,
( ~ spl0_139
| ~ spl0_367
| spl0_450
| ~ spl0_462 ),
inference(sat_conversion,[],[f35843]) ).
cnf(s3689,plain,
( ~ spl0_41
| ~ spl0_139
| spl0_327 ),
inference(sat_conversion,[],[f35846]) ).
cnf(s3692,plain,
( spl0_5
| ~ spl0_630
| spl0_645 ),
inference(sat_conversion,[],[f35854]) ).
cnf(s3697,plain,
( ~ spl0_22
| ~ spl0_630
| ~ spl0_662 ),
inference(sat_conversion,[],[f35898]) ).
cnf(s3699,plain,
( spl0_26
| ~ spl0_139
| spl0_327 ),
inference(sat_conversion,[],[f35900]) ).
cnf(s3701,plain,
( spl0_41
| ~ spl0_368
| spl0_397 ),
inference(sat_conversion,[],[f35905]) ).
cnf(s3703,plain,
( ~ spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f35910]) ).
cnf(s3708,plain,
( spl0_5
| ~ spl0_140
| spl0_294 ),
inference(sat_conversion,[],[f35941]) ).
cnf(s3711,plain,
( spl0_293
| spl0_300
| spl0_320 ),
inference(sat_conversion,[],[f35955]) ).
cnf(s3714,plain,
( spl0_288
| spl0_300
| spl0_431 ),
inference(sat_conversion,[],[f35963]) ).
cnf(s3716,plain,
( spl0_33
| ~ spl0_288
| spl0_309 ),
inference(sat_conversion,[],[f35967]) ).
cnf(s3720,plain,
( spl0_396
| spl0_403
| spl0_443 ),
inference(sat_conversion,[],[f35997]) ).
cnf(s3722,plain,
( spl0_382
| spl0_397
| ~ spl0_443 ),
inference(sat_conversion,[],[f36000]) ).
cnf(s3723,plain,
( ~ spl0_629
| spl0_646
| spl0_647 ),
inference(sat_conversion,[],[f36003]) ).
cnf(s3726,plain,
( ~ spl0_31
| ~ spl0_630
| ~ spl0_632 ),
inference(sat_conversion,[],[f36060]) ).
cnf(s3736,plain,
( ~ spl0_29
| ~ spl0_47
| spl0_371
| ~ spl0_443 ),
inference(sat_conversion,[],[f36165]) ).
cnf(s3747,plain,
( spl0_66
| spl0_298
| ~ spl0_376
| ~ spl0_443 ),
inference(sat_conversion,[],[f36308]) ).
cnf(s3750,plain,
( spl0_32
| spl0_41
| ~ spl0_42 ),
inference(sat_conversion,[],[f36329]) ).
cnf(s3753,plain,
( ~ spl0_330
| ~ spl0_401
| ~ spl0_451
| ~ spl0_699 ),
inference(sat_conversion,[],[f36471]) ).
cnf(s3759,plain,
( ~ spl0_68
| spl0_71 ),
inference(sat_conversion,[],[f36512]) ).
cnf(s3763,plain,
( ~ spl0_16
| ~ spl0_49
| spl0_71 ),
inference(sat_conversion,[],[f36568]) ).
cnf(s3764,plain,
( ~ spl0_11
| ~ spl0_16
| spl0_73 ),
inference(sat_conversion,[],[f36569]) ).
cnf(s3771,plain,
( ~ spl0_49
| spl0_50
| ~ spl0_67 ),
inference(sat_conversion,[],[f36743]) ).
cnf(s3778,plain,
( ~ spl0_31
| spl0_301
| ~ spl0_368
| ~ spl0_524 ),
inference(sat_conversion,[],[f36956]) ).
cnf(s3784,plain,
( ~ spl0_49
| spl0_629
| ~ spl0_665 ),
inference(sat_conversion,[],[f37059]) ).
cnf(s3792,plain,
( ~ spl0_61
| ~ spl0_330
| ~ spl0_373
| spl0_394
| ~ spl0_403 ),
inference(sat_conversion,[],[f37076]) ).
cnf(s3793,plain,
( ~ spl0_40
| ~ spl0_330
| spl0_371
| spl0_394
| spl0_449 ),
inference(sat_conversion,[],[f37077]) ).
cnf(s3795,plain,
( ~ spl0_11
| spl0_293
| ~ spl0_330
| spl0_371
| spl0_427 ),
inference(sat_conversion,[],[f37079]) ).
cnf(s3796,plain,
( ~ spl0_3
| spl0_289
| ~ spl0_330
| ~ spl0_373
| ~ spl0_402 ),
inference(sat_conversion,[],[f37080]) ).
cnf(s3797,plain,
( ~ spl0_40
| ~ spl0_53
| spl0_128 ),
inference(sat_conversion,[],[f37081]) ).
cnf(s3799,plain,
( ~ spl0_320
| ~ spl0_330
| spl0_375
| ~ spl0_431 ),
inference(sat_conversion,[],[f37083]) ).
cnf(s3800,plain,
( ~ spl0_2
| spl0_29
| spl0_127 ),
inference(sat_conversion,[],[f37084]) ).
cnf(s3801,plain,
( ~ spl0_10
| ~ spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f37085]) ).
cnf(s3806,plain,
( ~ spl0_331
| spl0_376
| spl0_382 ),
inference(sat_conversion,[],[f37168]) ).
cnf(s3808,plain,
( spl0_293
| spl0_625
| ~ spl0_639 ),
inference(sat_conversion,[],[f37205]) ).
cnf(s3812,plain,
( spl0_399
| ~ spl0_621
| spl0_625 ),
inference(sat_conversion,[],[f37259]) ).
cnf(s3815,plain,
( ~ spl0_623
| spl0_637
| spl0_646 ),
inference(sat_conversion,[],[f37269]) ).
cnf(s3818,plain,
( ~ spl0_41
| ~ spl0_64
| spl0_396
| ~ spl0_401
| ~ spl0_621 ),
inference(sat_conversion,[],[f37409]) ).
cnf(s3820,plain,
( spl0_288
| ~ spl0_639
| spl0_681 ),
inference(sat_conversion,[],[f37412]) ).
cnf(s3822,plain,
( ~ spl0_72
| ~ spl0_288
| ~ spl0_331
| spl0_399 ),
inference(sat_conversion,[],[f37415]) ).
cnf(s3823,plain,
( ~ spl0_24
| ~ spl0_320
| ~ spl0_431
| spl0_629
| ~ spl0_639 ),
inference(sat_conversion,[],[f37416]) ).
cnf(s3826,plain,
( ~ spl0_431
| ~ spl0_625
| ~ spl0_639
| spl0_642 ),
inference(sat_conversion,[],[f37494]) ).
cnf(s3828,plain,
( ~ spl0_320
| ~ spl0_642
| spl0_662 ),
inference(sat_conversion,[],[f37509]) ).
cnf(s3829,plain,
( ~ spl0_401
| ~ spl0_621
| ~ spl0_625
| spl0_634 ),
inference(sat_conversion,[],[f37550]) ).
cnf(s3832,plain,
( ~ spl0_5
| ~ spl0_38
| ~ spl0_41
| ~ spl0_49
| ~ spl0_681 ),
inference(sat_conversion,[],[f37597]) ).
cnf(s3833,plain,
( spl0_375
| ~ spl0_621
| spl0_681 ),
inference(sat_conversion,[],[f37599]) ).
cnf(s3834,plain,
( ~ spl0_72
| spl0_293
| ~ spl0_329
| ~ spl0_375 ),
inference(sat_conversion,[],[f37601]) ).
cnf(s3839,plain,
( ~ spl0_41
| ~ spl0_443 ),
inference(sat_conversion,[],[f37608]) ).
cnf(s3841,plain,
( ~ spl0_5
| ~ spl0_34 ),
inference(sat_conversion,[],[f37611]) ).
cnf(s3845,plain,
( ~ spl0_403
| spl0_632
| ~ spl0_634 ),
inference(sat_conversion,[],[f37615]) ).
cnf(s3850,plain,
( spl0_139
| spl0_298
| spl0_301 ),
inference(sat_conversion,[],[f37621]) ).
cnf(s3851,plain,
( ~ spl0_11
| ~ spl0_38
| spl0_140
| ~ spl0_692 ),
inference(sat_conversion,[],[f37622]) ).
cnf(s3853,plain,
( spl0_375
| ~ spl0_658
| spl0_695 ),
inference(sat_conversion,[],[f37626]) ).
cnf(s3856,plain,
( ~ spl0_38
| ~ spl0_48
| spl0_368
| ~ spl0_672 ),
inference(sat_conversion,[],[f37629]) ).
cnf(s3857,plain,
( ~ spl0_24
| ~ spl0_48
| ~ spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f37630]) ).
cnf(s3859,plain,
( ~ spl0_14
| spl0_22
| spl0_33 ),
inference(sat_conversion,[],[f37634]) ).
cnf(s3862,plain,
( ~ spl0_7
| ~ spl0_10
| spl0_26
| ~ spl0_48
| spl0_99 ),
inference(sat_conversion,[],[f37667]) ).
cnf(s3867,plain,
( ~ spl0_289
| spl0_291
| spl0_294 ),
inference(sat_conversion,[],[f37679]) ).
cnf(s3871,plain,
( ~ spl0_640
| spl0_645
| spl0_646 ),
inference(sat_conversion,[],[f37710]) ).
cnf(s3872,plain,
( ~ spl0_14
| ~ spl0_640
| ~ spl0_647 ),
inference(sat_conversion,[],[f37712]) ).
cnf(s3873,plain,
( spl0_291
| ~ spl0_329
| spl0_376 ),
inference(sat_conversion,[],[f37753]) ).
cnf(s3874,plain,
( ~ spl0_41
| ~ spl0_49
| ~ spl0_324 ),
inference(sat_conversion,[],[f37765]) ).
cnf(s3877,plain,
( ~ spl0_41
| ~ spl0_61
| ~ spl0_285
| ~ spl0_367
| ~ spl0_639 ),
inference(sat_conversion,[],[f37811]) ).
cnf(s3880,plain,
( ~ spl0_62
| spl0_371 ),
inference(sat_conversion,[],[f37880]) ).
cnf(s3881,plain,
( spl0_31
| ~ spl0_34
| spl0_41 ),
inference(sat_conversion,[],[f37881]) ).
cnf(s3884,plain,
( spl0_14
| ~ spl0_18
| spl0_427 ),
inference(sat_conversion,[],[f37884]) ).
cnf(s3886,plain,
( spl0_33
| spl0_647
| ~ spl0_662 ),
inference(sat_conversion,[],[f37886]) ).
cnf(s3887,plain,
( spl0_33
| spl0_306
| ~ spl0_454 ),
inference(sat_conversion,[],[f37887]) ).
cnf(s3889,plain,
( spl0_5
| ~ spl0_29
| spl0_31 ),
inference(sat_conversion,[],[f37891]) ).
cnf(s3890,plain,
( ~ spl0_371
| spl0_382
| spl0_383 ),
inference(sat_conversion,[],[f37898]) ).
cnf(s3893,plain,
( spl0_5
| spl0_383
| ~ spl0_446 ),
inference(sat_conversion,[],[f37910]) ).
cnf(s3894,plain,
( spl0_291
| ~ spl0_293
| spl0_309 ),
inference(sat_conversion,[],[f37913]) ).
cnf(s3896,plain,
( spl0_291
| ~ spl0_394
| spl0_433 ),
inference(sat_conversion,[],[f37942]) ).
cnf(s3897,plain,
( spl0_382
| ~ spl0_399
| spl0_405 ),
inference(sat_conversion,[],[f37951]) ).
cnf(s3898,plain,
( spl0_41
| ~ spl0_298
| spl0_433 ),
inference(sat_conversion,[],[f37954]) ).
cnf(s3899,plain,
( spl0_368
| ~ spl0_403
| ~ spl0_462
| spl0_465 ),
inference(sat_conversion,[],[f38000]) ).
cnf(s3904,plain,
( spl0_140
| ~ spl0_328
| spl0_439 ),
inference(sat_conversion,[],[f38067]) ).
cnf(s3906,plain,
( ~ spl0_330
| spl0_443
| spl0_673 ),
inference(sat_conversion,[],[f38091]) ).
cnf(s3907,plain,
( ~ spl0_330
| spl0_368
| spl0_700 ),
inference(sat_conversion,[],[f38092]) ).
cnf(s3911,plain,
( spl0_396
| spl0_639
| spl0_678 ),
inference(sat_conversion,[],[f38136]) ).
cnf(s3915,plain,
( spl0_327
| ~ spl0_330
| spl0_375 ),
inference(sat_conversion,[],[f38145]) ).
cnf(s3918,plain,
( spl0_288
| ~ spl0_328
| spl0_437 ),
inference(sat_conversion,[],[f38147]) ).
cnf(s3919,plain,
( ~ spl0_13
| ~ spl0_285
| ~ spl0_328
| spl0_372
| spl0_375 ),
inference(sat_conversion,[],[f38148]) ).
cnf(s3920,plain,
( spl0_375
| spl0_377
| spl0_401 ),
inference(sat_conversion,[],[f38149]) ).
cnf(s3921,plain,
( ~ spl0_7
| ~ spl0_285
| ~ spl0_330
| spl0_375
| spl0_400 ),
inference(sat_conversion,[],[f38150]) ).
cnf(s3923,plain,
( spl0_291
| spl0_677
| ~ spl0_678 ),
inference(sat_conversion,[],[f38162]) ).
cnf(s3927,plain,
( ~ spl0_309
| ~ spl0_662
| ~ spl0_678 ),
inference(sat_conversion,[],[f38168]) ).
cnf(s3937,plain,
( ~ spl0_24
| ~ spl0_48
| ~ spl0_49
| ~ spl0_433
| spl0_629
| ~ spl0_678 ),
inference(sat_conversion,[],[f38226]) ).
cnf(s3952,plain,
( ~ spl0_68
| spl0_368
| spl0_375 ),
inference(rat,[],[s1802,s2851]) ).
cnf(s3953,plain,
( spl0_368
| spl0_374 ),
inference(rat,[],[s1793,s2851]) ).
cnf(s3984,plain,
( ~ spl0_276
| ~ spl0_288 ),
inference(rat,[],[s1077,s1114]) ).
cnf(s3986,plain,
( ~ spl0_68
| spl0_288
| spl0_298 ),
inference(rat,[],[s1034,s1114]) ).
cnf(s3988,plain,
( ~ spl0_99
| spl0_293
| spl0_298 ),
inference(rat,[],[s1032,s1177]) ).
cnf(s4061,plain,
( spl0_18
| ~ spl0_8
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s86,s2357,s17,s2310,s68,s1903,s26,s3750,s56,s1986,s16,s2081,s2042,s3675,s38,s2225,s3716,s2027,s54,s3298,s46,s41,s3703,s1177]) ).
cnf(s4062,plain,
( ~ spl0_8
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s3898,s1025,s2374,s104,s982,s4061,s54,s3298,s3716,s3887,s46,s2059,s2042,s2027,s41,s3703]) ).
cnf(s4063,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s3894,s1288,s3536,s75,s3440,s3174,s3117,s1986,s3850,s3750,s3898,s74,s3350,s239,s253,s96,s1920,s1929,s4062,s38,s41,s2027,s2059,s2130,s3703,s1114,s1177]) ).
cnf(s4064,plain,
( spl0_298
| ~ spl0_50
| spl0_291
| spl0_325
| ~ spl0_41
| ~ spl0_8 ),
inference(rat,[],[s3867,s2339,s2192,s3689,s1023,s3850,s1114]) ).
cnf(s4065,plain,
( ~ spl0_327
| spl0_291
| spl0_325
| spl0_324
| ~ spl0_8 ),
inference(rat,[],[s3867,s2192,s2339,s2473]) ).
cnf(s4067,plain,
( ~ spl0_621
| spl0_288
| ~ spl0_635
| ~ spl0_11
| spl0_371
| spl0_681
| ~ spl0_309 ),
inference(rat,[],[s3918,s1185,s3014,s2026,s3054,s3833,s1177]) ).
cnf(s4068,plain,
( spl0_376
| spl0_450
| spl0_291
| spl0_382
| spl0_394 ),
inference(rat,[],[s3547,s1185,s1186,s3873,s3806,s1177]) ).
cnf(s4069,plain,
( spl0_288
| ~ spl0_376
| ~ spl0_635
| ~ spl0_11
| spl0_371
| spl0_681
| ~ spl0_309 ),
inference(rat,[],[s2939,s2974,s4067,s3820,s1114,s1559]) ).
cnf(s4070,plain,
( ~ spl0_375
| ~ spl0_288
| ~ spl0_402
| spl0_289
| ~ spl0_309
| spl0_33 ),
inference(rat,[],[s3550,s3562,s1186,s1185,s2057,s2026,s3237,s1177]) ).
cnf(s4071,plain,
( ~ spl0_293
| ~ spl0_140
| spl0_291
| spl0_382
| ~ spl0_41
| spl0_26
| ~ spl0_8 ),
inference(rat,[],[s3897,s3822,s2057,s3178,s3915,s4070,s4069,s4068,s85,s16,s3884,s2194,s3003,s2172,s3600,s9,s38,s2264,s3036,s3104,s3832,s3867,s3708,s2192,s3894,s46,s1753,s4065,s3015,s1903,s74,s2297,s3874,s54,s1114]) ).
cnf(s4072,plain,
( ~ spl0_5
| spl0_427
| ~ spl0_375
| ~ spl0_621
| spl0_288
| spl0_293
| spl0_33 ),
inference(rat,[],[s3022,s3834,s3918,s85,s3014,s16,s3054,s3884,s3003,s9,s38,s2264,s3036,s1114]) ).
cnf(s4073,plain,
( ~ spl0_22
| ~ spl0_20
| spl0_23
| ~ spl0_140
| ~ spl0_41
| spl0_26 ),
inference(rat,[],[s982,s16,s2374,s86,s2377]) ).
cnf(s4074,plain,
( spl0_288
| ~ spl0_376
| spl0_293
| ~ spl0_140
| ~ spl0_41
| spl0_26
| ~ spl0_8 ),
inference(rat,[],[s4072,s3833,s2939,s2974,s3820,s3832,s2172,s3104,s3675,s4073,s17,s68,s2225,s46,s1753,s54,s1903,s74,s1983,s1114,s1559]) ).
cnf(s4075,plain,
( ~ spl0_41
| spl0_26
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s3897,s3822,s2057,s85,s3178,s16,s3795,s87,s2172,s3764,s2264,s3104,s11,s3675,s3859,s90,s2269,s3290,s4074,s4068,s2246,s4071,s4064,s3771,s2311,s2359,s3042,s71,s2310,s3015,s3217,s24,s1903,s74,s2297,s46,s1753,s54,s1114,s2851]) ).
cnf(s4078,plain,
( spl0_375
| ~ spl0_320
| ~ spl0_298
| ~ spl0_431
| ~ spl0_253 ),
inference(rat,[],[s3178,s1866,s3799,s1114]) ).
cnf(s4081,plain,
( ~ spl0_640
| ~ spl0_289
| spl0_293
| ~ spl0_14
| ~ spl0_431
| spl0_291
| spl0_33 ),
inference(rat,[],[s3808,s3826,s3911,s3828,s3923,s3886,s3445,s3872,s3711,s2851,s1559]) ).
cnf(s4082,plain,
( spl0_288
| ~ spl0_38
| ~ spl0_140
| ~ spl0_71
| ~ spl0_48
| spl0_41
| ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s2939,s3598,s3422,s4081,s3796,s1186,s3701,s3031,s3033,s2194,s2208,s2055,s2325,s3237,s4078,s3711,s2192,s3708,s3859,s38,s858,s2207,s35,s2017,s3881,s3368,s1025,s3714,s853,s46,s1268,s963,s1114,s1177,s1559]) ).
cnf(s4083,plain,
( ~ spl0_38
| ~ spl0_140
| ~ spl0_71
| ~ spl0_48
| spl0_41
| ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s3841,s2207,s3675,s3859,s2269,s4082,s853,s46]) ).
cnf(s4084,plain,
( ~ spl0_5
| ~ spl0_18
| spl0_12 ),
inference(rat,[],[s3884,s2172,s38,s3104]) ).
cnf(s4085,plain,
( ~ spl0_140
| spl0_5
| ~ spl0_71
| ~ spl0_48
| spl0_41
| ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s1025,s3368,s2269,s3889,s1903,s4083,s3675]) ).
cnf(s4086,plain,
( ~ spl0_329
| ~ spl0_373
| ~ spl0_433
| ~ spl0_38
| ~ spl0_22
| spl0_5
| ~ spl0_71
| ~ spl0_2 ),
inference(rat,[],[s3889,s985,s3200,s2910,s2091,s3873,s842,s1268]) ).
cnf(s4087,plain,
( spl0_293
| ~ spl0_14
| ~ spl0_298
| ~ spl0_431
| ~ spl0_38
| spl0_140
| ~ spl0_22
| spl0_5
| ~ spl0_71
| spl0_41
| spl0_33
| ~ spl0_2 ),
inference(rat,[],[s3598,s2939,s3722,s3422,s35,s3185,s4081,s3881,s3027,s2199,s1437,s3904,s1185,s4086,s2208,s2055,s2325,s2386,s3237,s4078,s3711,s842,s853,s2,s4063,s1268,s963,s2213,s3898,s1114,s1177,s1559]) ).
cnf(s4088,plain,
( ~ spl0_329
| ~ spl0_309
| ~ spl0_433
| ~ spl0_71 ),
inference(rat,[],[s1799,s2091,s2026]) ).
cnf(s4089,plain,
( spl0_288
| ~ spl0_38
| spl0_140
| ~ spl0_22
| spl0_5
| ~ spl0_71
| ~ spl0_18
| spl0_41
| spl0_33
| ~ spl0_2 ),
inference(rat,[],[s1186,s2100,s1866,s3920,s3237,s2055,s2199,s1185,s4088,s2028,s3894,s4087,s11,s103,s3898,s2499,s1025,s3714,s853,s2,s4063,s87,s1268,s963,s2213,s1177,s1488,s1559]) ).
cnf(s4090,plain,
( spl0_375
| ~ spl0_328
| ~ spl0_298
| ~ spl0_320
| ~ spl0_253 ),
inference(rat,[],[s3517,s1186,s2174,s1866,s1177]) ).
cnf(s4091,plain,
( spl0_293
| ~ spl0_309
| ~ spl0_38
| ~ spl0_285
| ~ spl0_22
| ~ spl0_71
| ~ spl0_50
| ~ spl0_48
| spl0_41
| spl0_33
| ~ spl0_2 ),
inference(rat,[],[s2199,s2055,s2028,s2207,s3881,s1437,s2208,s2325,s3237,s4090,s1185,s4088,s3898,s1023,s3711,s842,s853,s2,s4063,s963,s1177,s1559]) ).
cnf(s4092,plain,
( ~ spl0_662
| ~ spl0_245
| ~ spl0_298
| ~ spl0_309
| spl0_140
| ~ spl0_22
| ~ spl0_213 ),
inference(rat,[],[s2997,s3911,s3697,s3927,s2851]) ).
cnf(s4093,plain,
( spl0_375
| ~ spl0_298
| spl0_294
| ~ spl0_309
| spl0_140
| ~ spl0_22
| spl0_5
| ~ spl0_16
| ~ spl0_71
| ~ spl0_53
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s2999,s3530,s3587,s2939,s3456,s4092,s3025,s2918,s860,s3889,s3797,s3407,s35,s3701,s3890,s1186,s1882,s1799,s2116,s1866,s3920,s842,s963,s2199,s1185,s4088,s3898,s2213,s853,s2,s4063,s3867,s1268,s1114,s1177,s1488]) ).
cnf(s4094,plain,
( ~ spl0_298
| spl0_294
| ~ spl0_309
| ~ spl0_38
| spl0_140
| ~ spl0_22
| spl0_5
| ~ spl0_16
| ~ spl0_71
| ~ spl0_53
| ~ spl0_48
| spl0_41
| spl0_33
| ~ spl0_2 ),
inference(rat,[],[s3881,s1437,s2207,s2208,s2055,s2325,s3237,s4093,s2199,s1185,s4088,s3898,s842,s853,s2,s4063,s2213,s3867,s1268,s1177]) ).
cnf(s4095,plain,
( ~ spl0_38
| spl0_32
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s1185,s1437,s4086,s3896,s1507,s1774,s3889,s1899,s4094,s2192,s4091,s3716,s4089,s842,s3857,s1937,s59,s43,s87,s1268,s3675,s2213,s4085,s4084,s1753,s104,s2081,s54,s1986,s3750,s4075,s3298,s46,s2,s4063,s1177]) ).
cnf(s4096,plain,
( ~ spl0_621
| ~ spl0_14
| spl0_371
| ~ spl0_401
| ~ spl0_373
| ~ spl0_16
| spl0_33
| ~ spl0_216 ),
inference(rat,[],[s3886,s3872,s3456,s3422]) ).
cnf(s4097,plain,
( ~ spl0_288
| ~ spl0_59
| ~ spl0_329
| ~ spl0_331
| ~ spl0_373
| ~ spl0_31
| ~ spl0_285
| ~ spl0_253
| ~ spl0_252
| ~ spl0_16
| ~ spl0_71
| ~ spl0_50
| ~ spl0_8
| ~ spl0_216 ),
inference(rat,[],[s3723,s3474,s3872,s2992,s2974,s3146,s2939,s4096,s11,s3764,s1882,s90,s3867,s1969,s3098,s2192,s2005,s3386,s1023,s3850,s1799,s1866,s3920,s2026,s3716,s46,s3873,s1268,s1559,s1114,s1488]) ).
cnf(s4098,plain,
( ~ spl0_621
| spl0_371
| ~ spl0_34
| ~ spl0_14
| ~ spl0_437
| ~ spl0_373
| spl0_5
| ~ spl0_252
| ~ spl0_8
| ~ spl0_216 ),
inference(rat,[],[s3519,s3053,s3692,s3120,s3013,s3886,s3474,s3872,s3422,s46,s2194]) ).
cnf(s4099,plain,
( spl0_32
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s3823,s3077,s2974,s3586,s2939,s4098,s3711,s3890,s3894,s1969,s11,s2212,s4088,s2090,s2438,s103,s1864,s3898,s1797,s2499,s1025,s2820,s3714,s4097,s2007,s2910,s2115,s3873,s3022,s3178,s1437,s1878,s1507,s3889,s1903,s4095,s2213,s4085,s3675,s4084,s963,s1268,s962,s87,s104,s3857,s2081,s1937,s1986,s3750,s4075,s54,s1753,s3298,s842,s853,s2,s4063,s46,s1559,s1114,s1177]) ).
cnf(s4100,plain,
( ~ spl0_38
| spl0_5
| ~ spl0_71
| ~ spl0_50
| ~ spl0_18
| ~ spl0_48
| spl0_41
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s40,s11,s3603,s3851,s3867,s3579,s2192,s1885,s4091,s3114,s3716,s4089,s853,s46,s4099,s1268,s3675,s2213,s4085,s2,s4063]) ).
cnf(s4101,plain,
( ~ spl0_48
| spl0_26
| spl0_41
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s40,s11,s1969,s103,s2006,s2499,s2122,s4097,s2124,s2007,s2232,s2910,s3873,s3022,s3178,s1437,s1878,s1507,s3889,s1903,s4100,s2213,s4085,s3675,s963,s1268,s962,s4084,s87,s104,s982,s3857,s2081,s1927,s842,s853,s2,s4063,s4099,s1753,s54,s1114]) ).
cnf(s4102,plain,
( ~ spl0_375
| spl0_29
| ~ spl0_22
| ~ spl0_32
| ~ spl0_2 ),
inference(rat,[],[s2208,s3200,s2325,s2262]) ).
cnf(s4104,plain,
( ~ spl0_293
| ~ spl0_245
| spl0_5
| ~ spl0_42
| ~ spl0_8 ),
inference(rat,[],[s3708,s2280,s2192]) ).
cnf(s4105,plain,
( ~ spl0_298
| ~ spl0_331
| ~ spl0_243
| spl0_382
| spl0_29
| ~ spl0_49
| spl0_41
| ~ spl0_8 ),
inference(rat,[],[s2475,s2212,s2449,s3020,s3890,s3701,s3722,s3031,s2479,s1903]) ).
cnf(s4106,plain,
( spl0_5
| spl0_26
| spl0_41
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s2091,s3022,s3033,s3137,s3896,s2113,s2473,s3545,s3603,s3699,s1900,s3850,s4105,s3806,s3356,s3178,s3799,s2246,s3711,s4104,s3920,s4102,s3714,s3984,s860,s858,s2809,s3042,s2228,s2017,s3217,s3800,s1903,s3889,s3675,s853,s2,s4063,s4099,s54,s3881,s56,s1986,s4101,s1114,s1559,s1488,s2851,s1177]) ).
cnf(s4108,plain,
( ~ spl0_293
| ~ spl0_5
| ~ spl0_40
| ~ spl0_42
| ~ spl0_25
| ~ spl0_49
| spl0_41 ),
inference(rat,[],[s2211,s3701,s2408,s2410,s3567,s1186,s2387,s3356,s3896,s3174,s3117,s3663,s3850,s3483,s3898,s858,s2289,s3576,s2337,s9,s2389,s2263,s1177,s1114]) ).
cnf(s4109,plain,
( spl0_26
| spl0_41
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s3548,s1185,s3091,s2115,s3041,s3722,s2476,s3023,s3701,s2479,s3178,s1023,s3795,s4108,s61,s1966,s2172,s9,s2264,s3104,s4106,s35,s3881,s56,s1986,s4101,s21,s54,s1753,s1177,s1114]) ).
cnf(s4111,plain,
( spl0_399
| ~ spl0_252
| ~ spl0_99
| spl0_450
| spl0_394
| ~ spl0_433
| ~ spl0_298 ),
inference(rat,[],[s1185,s3547,s2091,s1186,s2444,s1864,s2277,s1177]) ).
cnf(s4112,plain,
( ~ spl0_293
| ~ spl0_48
| spl0_5
| spl0_41
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s3178,s3031,s3615,s3890,s3893,s2212,s4111,s962,s143,s858,s2443,s3545,s2017,s3618,s3600,s2239,s40,s3867,s3894,s2139,s2360,s3898,s3488,s1899,s2497,s2213,s3708,s2192,s853,s2,s4063,s34,s3042,s3984,s2809,s3217,s4099,s2074,s2451,s3675,s4109,s1114,s1177,s1559,s2851]) ).
cnf(s4113,plain,
( ~ spl0_298
| ~ spl0_320
| ~ spl0_48
| ~ spl0_431
| spl0_382
| spl0_375
| ~ spl0_38
| spl0_41
| ~ spl0_8 ),
inference(rat,[],[s3881,s56,s2403,s75,s3212,s2476,s3856,s3759,s3722,s3701,s963,s2479,s4078,s3178,s3799,s1114]) ).
cnf(s4114,plain,
( ~ spl0_48
| spl0_5
| spl0_41
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s1789,s2065,s3896,s44,s3618,s3174,s2443,s3440,s3117,s3988,s3850,s4113,s3356,s3178,s3799,s3536,s3711,s4112,s34,s4102,s3042,s3714,s3984,s2809,s3217,s2451,s4109,s4099,s3675,s1114,s1559,s2851]) ).
cnf(s4116,plain,
( ~ spl0_621
| spl0_634
| spl0_399
| ~ spl0_401 ),
inference(rat,[],[s3829,s3812]) ).
cnf(s4117,plain,
( ~ spl0_298
| ~ spl0_331
| ~ spl0_243
| spl0_288
| ~ spl0_245
| ~ spl0_401
| spl0_382
| ~ spl0_22
| ~ spl0_8
| ~ spl0_213 ),
inference(rat,[],[s2997,s2974,s2963,s2939,s4116,s3076,s2908,s2277,s3430,s2212,s3890,s3031,s3806,s1559,s1114]) ).
cnf(s4120,plain,
( ~ spl0_622
| ~ spl0_397
| ~ spl0_376
| ~ spl0_24
| ~ spl0_320
| spl0_34
| ~ spl0_431
| ~ spl0_38
| ~ spl0_8
| ~ spl0_216 ),
inference(rat,[],[s3013,s3823,s3871,s2974,s3604,s3146,s1559]) ).
cnf(s4121,plain,
( spl0_5
| spl0_41
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s3692,s3519,s3013,s4116,s2945,s2939,s4120,s2277,s2211,s3701,s3033,s2194,s2113,s3603,s3850,s4117,s3806,s3178,s858,s20,s3799,s2017,s1983,s3711,s3881,s4104,s56,s1986,s4114,s3714,s3984,s860,s3920,s2809,s3042,s2228,s4102,s3217,s3800,s2451,s34,s3675,s842,s853,s2,s4063,s4099,s4109,s1114,s1559,s1177,s1488,s2851]) ).
cnf(s4123,plain,
( ~ spl0_293
| ~ spl0_431
| ~ spl0_298
| spl0_68
| ~ spl0_40
| ~ spl0_11
| spl0_371
| ~ spl0_26
| spl0_41 ),
inference(rat,[],[s2115,s3022,s3722,s3127,s2476,s3169,s3640,s3701,s2479,s3178,s2236,s3793,s2239,s2441,s75,s1986,s3894,s2289,s3898,s2360,s1114,s1177]) ).
cnf(s4124,plain,
( ~ spl0_298
| spl0_68
| ~ spl0_40
| ~ spl0_11
| spl0_14
| spl0_289
| spl0_371
| ~ spl0_26
| spl0_41
| ~ spl0_32
| spl0_33 ),
inference(rat,[],[s3127,s3548,s1185,s2115,s3722,s2476,s3023,s3169,s3701,s2479,s2236,s3178,s2240,s3795,s4123,s85,s16,s3884,s2493,s3714,s2011,s1177,s1114,s1559]) ).
cnf(s4125,plain,
( ~ spl0_48
| spl0_400
| spl0_430
| ~ spl0_330
| spl0_288
| spl0_298
| ~ spl0_26
| spl0_33 ),
inference(rat,[],[s3237,s2287,s2093,s3906,s1868,s3573,s3641]) ).
cnf(s4126,plain,
( spl0_397
| spl0_382
| spl0_66
| spl0_41 ),
inference(rat,[],[s2476,s3722,s3701]) ).
cnf(s4127,plain,
( spl0_41
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s3753,s3920,s3574,s2262,s2408,s2993,s2277,s2211,s4126,s1986,s4125,s3038,s2208,s2111,s3602,s3320,s2213,s1186,s2387,s3356,s3894,s3197,s1966,s2493,s3716,s2239,s3174,s3440,s3117,s3850,s4124,s1971,s3543,s35,s9,s38,s2263,s2264,s3841,s4121,s4109,s853,s2,s4063,s46,s4099,s1488,s1177,s1559,s1114]) ).
cnf(s4128,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s4075,s2320,s4127]) ).
cnf(s4131,plain,
( ~ spl0_678
| ~ spl0_24
| ~ spl0_48
| ~ spl0_293
| spl0_291
| ~ spl0_433
| ~ spl0_49 ),
inference(rat,[],[s3444,s3937,s3923]) ).
cnf(s4132,plain,
( spl0_140
| ~ spl0_298
| spl0_26
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s3046,s3815,s2999,s3500,s2940,s2987,s2992,s3286,s3911,s4131,s3517,s1186,s2057,s3237,s1882,s2199,s1185,s2065,s4088,s963,s2095,s104,s3862,s2081,s1937,s1986,s3894,s3334,s2495,s2494,s2497,s2213,s853,s2,s4063,s1974,s842,s1973,s13,s4,s4128,s54,s3898,s2360,s1114,s2851,s1177,s1559]) ).
cnf(s4133,plain,
( ~ spl0_5
| spl0_12
| ~ spl0_2 ),
inference(rat,[],[s6,s9,s2,s4063,s13,s4128]) ).
cnf(s4134,plain,
( ~ spl0_298
| spl0_26
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s3368,s4132,s3889,s4133,s1753,s1935,s4128]) ).
cnf(s4135,plain,
( ~ spl0_48
| spl0_368
| ~ spl0_309
| ~ spl0_139
| spl0_26 ),
inference(rat,[],[s2026,s3022,s1799,s1436,s104,s59,s2081,s3641,s54,s1114]) ).
cnf(s4136,plain,
( spl0_368
| spl0_291
| ~ spl0_293
| ~ spl0_34
| spl0_298
| spl0_26
| spl0_41
| ~ spl0_10 ),
inference(rat,[],[s2026,s1799,s3022,s3763,s1434,s3801,s3174,s10,s3896,s40,s2289,s3750,s1986,s4135,s3953,s54,s3117,s3850,s3894,s1114,s1177]) ).
cnf(s4137,plain,
( spl0_140
| ~ spl0_34
| spl0_26
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s3098,s3178,s3386,s3407,s4136,s3358,s2494,s2497,s2213,s1974,s842,s1973,s13,s96,s1920,s1929,s3889,s4133,s1753,s1935,s4128,s4134,s1114,s1559]) ).
cnf(s4138,plain,
( spl0_630
| ~ spl0_375
| ~ spl0_373
| ~ spl0_2 ),
inference(rat,[],[s2940,s3166,s3254,s96,s1920,s1929,s4128,s1114]) ).
cnf(s4139,plain,
( ~ spl0_630
| ~ spl0_450
| ~ spl0_294
| spl0_5
| ~ spl0_29 ),
inference(rat,[],[s3144,s3134,s3911,s3291,s3287,s3692,s2851]) ).
cnf(s4140,plain,
( ~ spl0_666
| ~ spl0_622
| ~ spl0_397
| ~ spl0_450
| ~ spl0_462
| spl0_291
| ~ spl0_49 ),
inference(rat,[],[s3444,s3923,s3784,s3911,s3588,s3144,s2246,s2851]) ).
cnf(s4141,plain,
( ~ spl0_34
| spl0_26
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s10,s2028,s3801,s2339,s3763,s2979,s1025,s2974,s3098,s3873,s3178,s3022,s3792,s2245,s3720,s3479,s3636,s3134,s4140,s3120,s3094,s3586,s2939,s3421,s4138,s3519,s2999,s4139,s2194,s2208,s3611,s3386,s2114,s3701,s4136,s3894,s2246,s3687,s2484,s2236,s2080,s2453,s3708,s2387,s4137,s13,s4,s96,s1920,s1929,s54,s3889,s4133,s1753,s1935,s4128,s3699,s3850,s4134,s1559,s1114,s2851]) ).
cnf(s4142,plain,
( spl0_140
| ~ spl0_40
| ~ spl0_139
| spl0_26
| ~ spl0_7 ),
inference(rat,[],[s2282,s2281,s2213]) ).
cnf(s4143,plain,
( ~ spl0_375
| ~ spl0_66
| ~ spl0_309
| ~ spl0_32
| spl0_298 ),
inference(rat,[],[s1434,s1185,s3953,s2026,s2262,s1177]) ).
cnf(s4144,plain,
( spl0_26
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s2113,s3873,s2194,s3022,s3519,s3129,s4116,s3853,s2939,s3671,s3527,s2211,s3386,s3701,s1799,s3920,s4143,s2999,s4139,s3543,s3687,s3485,s3440,s2484,s3174,s2236,s2080,s2453,s3708,s4142,s3716,s3750,s2029,s1986,s1025,s1268,s3862,s2363,s2095,s29,s35,s4141,s3117,s3850,s4134,s3889,s4133,s1935,s54,s1753,s13,s4,s4128,s1114,s1488,s1177]) ).
cnf(s4145,plain,
( spl0_140
| ~ spl0_298
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s3298,s3334,s2011,s2494,s2497,s1974,s842,s1973,s4128,s1559]) ).
cnf(s4146,plain,
( ~ spl0_288
| spl0_382
| ~ spl0_298
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s2091,s3022,s3907,s3544,s1186,s2479,s4126,s3646,s3592,s3485,s3570,s9,s2263,s2013,s3334,s3889,s3750,s3298,s3290,s2011,s13,s96,s1920,s1929,s4128,s3898,s35,s3881,s3368,s4145,s4144,s1114,s1177]) ).
cnf(s4147,plain,
( ~ spl0_678
| ~ spl0_366
| spl0_368
| ~ spl0_38
| ~ spl0_294
| ~ spl0_375
| ~ spl0_433
| ~ spl0_74 ),
inference(rat,[],[s3059,s2940,s3213,s3254,s3288,s3287,s1114]) ).
cnf(s4148,plain,
( spl0_5
| ~ spl0_375
| spl0_34
| spl0_31
| ~ spl0_140
| ~ spl0_433
| ~ spl0_2 ),
inference(rat,[],[s3692,s3280,s3254,s2940,s3286,s4147,s3517,s1186,s1185,s3430,s2461,s3890,s2208,s2403,s3033,s3200,s3540,s1903,s3708,s3889,s853,s2,s4063,s96,s1920,s1929,s4128,s2386,s1114,s2851,s1177]) ).
cnf(s4149,plain,
( ~ spl0_375
| ~ spl0_298
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s1958,s2503,s38,s2263,s4148,s4146,s2386,s853,s2,s4063,s13,s4128,s3898,s3881,s3368,s4145,s4144]) ).
cnf(s4150,plain,
( ~ spl0_298
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s3890,s3430,s3031,s3178,s3799,s3711,s858,s3714,s3042,s2289,s2017,s3290,s3217,s1939,s1903,s3889,s4133,s3106,s4149,s3881,s3368,s4145,s3898,s853,s2,s4063,s96,s1920,s1929,s4128,s4144,s1114,s1559,s2851]) ).
cnf(s4151,plain,
( spl0_630
| ~ spl0_465
| ~ spl0_376
| spl0_140
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s2939,s3277,s2974,s3134,s2987,s3257,s2999,s96,s1920,s1929,s4128,s1114,s1559]) ).
cnf(s4152,plain,
( ~ spl0_371
| ~ spl0_376
| spl0_382
| spl0_368
| ~ spl0_401
| ~ spl0_31
| ~ spl0_34
| spl0_140
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s4116,s2939,s3845,s2961,s3726,s4151,s3897,s2057,s3178,s3292,s3899,s3720,s3722,s3890,s3611,s2236,s2463,s96,s1920,s1929,s2484,s2160,s3894,s2494,s1974,s842,s3358,s2497,s1973,s4128,s1114,s2851,s1559]) ).
cnf(s4153,plain,
( spl0_368
| spl0_140
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s4116,s2939,s3845,s2961,s3726,s3897,s3893,s4151,s2057,s3098,s3899,s3178,s3720,s3921,s3501,s2111,s4152,s3873,s2115,s3022,s1434,s3953,s4,s2484,s2160,s3841,s3881,s3485,s2005,s3920,s4143,s3174,s2463,s96,s1920,s1929,s3117,s3850,s3894,s3358,s2497,s1973,s3298,s2504,s1958,s3859,s2451,s1899,s2213,s4150,s4144,s13,s853,s2,s4063,s3334,s2494,s1974,s4128,s842,s1114,s2851,s1559,s1177,s1488]) ).
cnf(s4154,plain,
( spl0_140
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s3178,s3098,s3407,s3386,s4153,s3881,s3485,s3174,s2005,s2463,s2497,s2213,s1973,s96,s1920,s1929,s4128,s4144,s3117,s3850,s4150,s1114,s1559]) ).
cnf(s4155,plain,
( ~ spl0_371
| ~ spl0_330
| spl0_368
| spl0_382
| ~ spl0_294
| ~ spl0_34
| spl0_298
| spl0_41
| ~ spl0_213 ),
inference(rat,[],[s3204,s2453,s2208,s2238,s2461,s3292,s3022,s3899,s1434,s3720,s2484,s4126,s3722,s1504,s3611,s3953,s1177,s1114,s2851]) ).
cnf(s4156,plain,
( ~ spl0_330
| spl0_368
| spl0_382
| ~ spl0_34
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s3092,s2461,s3720,s3022,s3899,s1434,s3292,s2484,s3174,s2236,s2080,s2453,s1903,s3664,s2356,s3596,s4155,s842,s96,s1920,s1929,s4128,s4144,s3117,s3850,s4150,s3708,s3841,s4154,s3953,s2851,s1114]) ).
cnf(s4157,plain,
( ~ spl0_331
| ~ spl0_288
| spl0_5
| ~ spl0_140
| ~ spl0_74 ),
inference(rat,[],[s3893,s3098,s3430]) ).
cnf(s4159,plain,
( spl0_368
| ~ spl0_330
| ~ spl0_34
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s1434,s2476,s1185,s3092,s2115,s3038,s4156,s3953,s96,s1920,s1929,s4128,s4144,s4150,s1177]) ).
cnf(s4160,plain,
( ~ spl0_330
| ~ spl0_34
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s3670,s3173,s3720,s3596,s3092,s2208,s3611,s3386,s3701,s4159,s96,s1920,s1929,s4128,s4144,s3850,s4150,s3881,s2851,s1114]) ).
cnf(s4161,plain,
( spl0_630
| ~ spl0_402
| ~ spl0_376
| ~ spl0_450
| ~ spl0_373
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s2974,s3144,s2939,s3134,s3421,s3519,s4138,s3257,s2999,s4,s96,s1920,s1929,s4128,s1559,s1114]) ).
cnf(s4162,plain,
( ~ spl0_34
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s2939,s3586,s3415,s3480,s3631,s3134,s3191,s3144,s3200,s1903,s3911,s4139,s3287,s3726,s4161,s2194,s3890,s3873,s2115,s3022,s2245,s3687,s2236,s2484,s3896,s1018,s2065,s2503,s1958,s40,s3298,s3720,s1963,s3092,s2208,s376,s3893,s4157,s3431,s3430,s3178,s4160,s3708,s3881,s3841,s853,s2,s4063,s13,s96,s1920,s1929,s4128,s4144,s3850,s4150,s2387,s4154,s1114,s2851]) ).
cnf(s4163,plain,
( ~ spl0_66
| spl0_368
| ~ spl0_40
| spl0_291
| spl0_298 ),
inference(rat,[],[s3873,s3022,s2113,s3543,s1434,s3023,s3440,s3850,s3953,s1114]) ).
cnf(s4164,plain,
( spl0_368
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s3867,s2453,s3592,s1903,s3544,s3664,s1186,s2431,s3806,s1185,s3894,s3038,s3873,s2239,s3092,s3747,s3174,s2476,s4163,s13,s96,s1920,s1929,s4128,s4144,s3117,s3850,s4150,s2387,s4154,s35,s29,s4162,s1177,s1114]) ).
cnf(s4165,plain,
( ~ spl0_628
| ~ spl0_16
| ~ spl0_401
| ~ spl0_32
| spl0_29
| ~ spl0_397
| ~ spl0_2 ),
inference(rat,[],[s2939,s3456,s3530,s3187,s1114]) ).
cnf(s4166,plain,
( ~ spl0_446
| ~ spl0_372
| spl0_22
| spl0_5
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s2940,s3286,s3280,s3287,s3692,s2999,s4165,s3801,s10,s3859,s3920,s3750,s1963,s3540,s1939,s376,s3889,s3387,s3386,s13,s96,s1920,s1929,s4128,s3701,s4164,s3708,s4154,s1114,s2851,s1488]) ).
cnf(s4167,plain,
( spl0_446
| ~ spl0_330
| ~ spl0_35
| spl0_298
| ~ spl0_26
| ~ spl0_74 ),
inference(rat,[],[s3720,s3339,s3092,s2208,s2851]) ).
cnf(s4168,plain,
( ~ spl0_330
| spl0_5
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s2070,s2269,s3569,s4166,s3540,s3517,s3889,s1185,s3386,s2461,s4167,s2163,s13,s96,s1920,s1929,s4128,s4144,s4150,s29,s4162,s4164,s3708,s4154,s1177]) ).
cnf(s4169,plain,
( ~ spl0_328
| spl0_658
| spl0_375
| ~ spl0_373
| spl0_288
| spl0_291
| ~ spl0_26
| ~ spl0_7 ),
inference(rat,[],[s3894,s1735,s2239,s2174,s3129,s2179]) ).
cnf(s4170,plain,
( spl0_5
| spl0_41
| ~ spl0_2 ),
inference(rat,[],[s2939,s2945,s3586,s3723,s3481,s3135,s3134,s3028,s3144,s1903,s3911,s2277,s4139,s3046,s3287,s2211,s4161,s75,s3687,s3174,s2236,s3896,s2091,s3022,s4169,s3853,s3920,s2262,s3298,s2484,s1963,s2194,s3671,s2208,s2910,s3986,s376,s3890,s3893,s3806,s4157,s3431,s3430,s3178,s4168,s3708,s13,s4,s96,s1920,s1929,s4128,s4144,s3117,s3850,s4150,s2387,s4154,s35,s4162,s2114,s20,s2279,s3701,s4164,s1114,s2851,s1488]) ).
cnf(s4171,plain,
( spl0_41
| ~ spl0_2 ),
inference(rat,[],[s1185,s3538,s2091,s3516,s3896,s1959,s3174,s3108,s3440,s3560,s3533,s3543,s4133,s9,s2263,s2264,s4170,s4164,s35,s4162,s2387,s4154,s3117,s3850,s4150,s1114,s1177]) ).
cnf(s4172,plain,
~ spl0_2,
inference(rat,[],[s1935,s74,s2320,s4171,s4128]) ).
cnf(s4173,plain,
spl0_1,
inference(rat,[],[s1,s4172]) ).
cnf(s4174,plain,
( ~ spl0_298
| spl0_368
| spl0_140
| spl0_41 ),
inference(rat,[],[s2476,s3736,s3023,s2113,s3873,s3022,s2435,s2236,s2453,s2447,s29,s35,s3867,s2065,s2360,s3898,s2213,s3360,s2263,s2450,s1114,s4173]) ).
cnf(s4175,plain,
( ~ spl0_34
| ~ spl0_42
| spl0_41 ),
inference(rat,[],[s3427,s56,s40,s3881,s3750,s4173]) ).
cnf(s4176,plain,
( ~ spl0_42
| spl0_26
| ~ spl0_139
| spl0_140
| spl0_41 ),
inference(rat,[],[s4,s4142,s2186,s35,s4175,s3360,s2263,s2450,s4173]) ).
cnf(s4177,plain,
( spl0_26
| spl0_368
| spl0_140
| spl0_41 ),
inference(rat,[],[s1268,s3894,s104,s1738,s4135,s2081,s1937,s1986,s4176,s54,s3850,s4174,s1177,s1114]) ).
cnf(s4178,plain,
( ~ spl0_328
| ~ spl0_404
| ~ spl0_34
| ~ spl0_26
| spl0_298
| spl0_368
| spl0_140 ),
inference(rat,[],[s11,s3601,s40,s3038,s3298,s3897,s1959,s2475,s3338,s1186,s3714,s3356,s3358,s3896,s2287,s3174,s2476,s1434,s3904,s2213,s3953,s3117,s3850,s2065,s2450,s1177,s1559,s4173,s1114]) ).
cnf(s4179,plain,
( ~ spl0_446
| ~ spl0_329
| spl0_42
| ~ spl0_26
| spl0_368
| spl0_140 ),
inference(rat,[],[s2475,s2449,s3897,s3354,s2287,s2476,s3338,s75,s1186,s3714,s1288,s3356,s3358,s3867,s3893,s2461,s2213,s2263,s2450,s2115,s1177,s1559,s1114,s4173]) ).
cnf(s4180,plain,
( ~ spl0_330
| spl0_446
| spl0_382
| ~ spl0_34
| ~ spl0_26
| ~ spl0_139
| spl0_368
| ~ spl0_285
| spl0_41 ),
inference(rat,[],[s81,s4126,s2072,s3611,s3298,s3318,s40,s2002,s11,s3395,s3601,s2031,s1986,s3410,s4175,s2208,s1177]) ).
cnf(s4181,plain,
( ~ spl0_34
| spl0_368
| spl0_140
| spl0_41 ),
inference(rat,[],[s2026,s3894,s3952,s3536,s75,s3440,s3174,s3896,s3356,s3178,s4180,s4179,s2115,s3022,s4178,s3410,s1986,s4175,s2065,s2213,s2450,s3117,s3850,s4174,s4177,s1114,s1177,s4173]) ).
cnf(s4182,plain,
( spl0_368
| spl0_140
| spl0_41 ),
inference(rat,[],[s1186,s3508,s3356,s2386,s3711,s3363,s3867,s3890,s3334,s4,s13,s2453,s3736,s3354,s3859,s3675,s3174,s2476,s3405,s2451,s3485,s2447,s4181,s4177,s2005,s3117,s3850,s4174,s2213,s3360,s2263,s2450,s1177,s1559,s4173,s1114]) ).
cnf(s4183,plain,
( ~ spl0_298
| spl0_140
| spl0_41 ),
inference(rat,[],[s3354,s3720,s3890,s2245,s3428,s3547,s3889,s2453,s1185,s2447,s1186,s3867,s2091,s2065,s2479,s2360,s3898,s2263,s2450,s3701,s2114,s4182,s2851,s4173,s1177]) ).
cnf(s4184,plain,
( ~ spl0_34
| ~ spl0_368
| spl0_41 ),
inference(rat,[],[s3428,s3611,s3881,s3701,s4173]) ).
cnf(s4185,plain,
( spl0_140
| spl0_41 ),
inference(rat,[],[s3572,s3906,s1186,s3583,s3354,s3806,s3867,s3890,s2113,s2453,s3428,s3778,s3174,s3889,s3485,s2447,s35,s4184,s2005,s3117,s3850,s4183,s2114,s4182,s2263,s2450,s2213,s1177,s4173,s1114]) ).
cnf(s4186,plain,
( spl0_26
| ~ spl0_298
| spl0_368
| spl0_41 ),
inference(rat,[],[s3548,s3091,s1185,s3041,s2115,s3722,s4108,s2479,s1986,s3178,s2081,s2410,s4084,s21,s54,s1753,s2337,s9,s2389,s2263,s2476,s3023,s2264,s3889,s2447,s35,s3881,s3368,s4185,s1177,s1114,s4173]) ).
cnf(s4187,plain,
( ~ spl0_26
| spl0_33
| ~ spl0_298
| ~ spl0_40
| spl0_14
| ~ spl0_11
| spl0_371
| spl0_289
| spl0_41
| spl0_68 ),
inference(rat,[],[s3298,s4124]) ).
cnf(s4188,plain,
( ~ spl0_298
| spl0_368
| spl0_41 ),
inference(rat,[],[s4187,s4186,s46,s3427,s1971,s9,s38,s2263,s2264,s3889,s2447,s35,s3881,s3368,s4185,s4173]) ).
cnf(s4189,plain,
( spl0_26
| spl0_42
| ~ spl0_139
| spl0_368
| spl0_291 ),
inference(rat,[],[s3894,s1738,s4135,s54,s1937,s1986,s1177]) ).
cnf(s4190,plain,
( ~ spl0_394
| ~ spl0_26
| ~ spl0_48
| ~ spl0_294
| ~ spl0_34
| spl0_298
| spl0_291 ),
inference(rat,[],[s44,s2443,s1789,s3988,s3894,s2065,s1903,s2239,s3896,s2453]) ).
cnf(s4191,plain,
( ~ spl0_34
| spl0_368
| spl0_41 ),
inference(rat,[],[s2026,s3894,s3952,s3022,s3536,s75,s1434,s3440,s3174,s4190,s4189,s1986,s3708,s4175,s3841,s2387,s4185,s3953,s3117,s3850,s4188,s1114,s1177]) ).
cnf(s4192,plain,
( spl0_368
| spl0_41 ),
inference(rat,[],[s2040,s3197,s3920,s3143,s3894,s3237,s3806,s2239,s2287,s3178,s21,s3550,s2164,s46,s3562,s2337,s3427,s2194,s2389,s9,s38,s2264,s1185,s3867,s3708,s3873,s2453,s3747,s3174,s2476,s4163,s2447,s35,s4191,s3117,s3850,s4188,s2387,s4185,s1488,s1114,s4173,s1177]) ).
cnf(s4193,plain,
( ~ spl0_298
| spl0_41 ),
inference(rat,[],[s3562,s2194,s3550,s2263,s2264,s1185,s1186,s3889,s2091,s2479,s3368,s3898,s4185,s3701,s2447,s4184,s4192,s1177,s4173]) ).
cnf(s4194,plain,
( spl0_5
| spl0_41 ),
inference(rat,[],[s3670,s3720,s1186,s3354,s3430,s3890,s2208,s3428,s2292,s3889,s3360,s4185,s2114,s2447,s3173,s3599,s3850,s4193,s4184,s4192,s2851,s1177,s4173,s1114]) ).
cnf(s4195,plain,
( spl0_26
| spl0_41 ),
inference(rat,[],[s4108,s1986,s2473,s2081,s4084,s3699,s21,s54,s1753,s35,s4184,s4192,s3850,s4193,s3138,s9,s2263,s4194,s1177,s1114]) ).
cnf(s4196,plain,
spl0_41,
inference(rat,[],[s1966,s2493,s3197,s3716,s3894,s2239,s4195,s3174,s46,s3440,s3427,s3543,s9,s38,s2263,s4194,s3117,s3850,s4193,s35,s4184,s4192,s2387,s4185,s1559,s4173,s1114]) ).
cnf(s4197,plain,
~ spl0_443,
inference(rat,[],[s3839,s4196]) ).
cnf(s4198,plain,
~ spl0_26,
inference(rat,[],[s2320,s4196]) ).
cnf(s4199,plain,
~ spl0_394,
inference(rat,[],[s2297,s4196]) ).
cnf(s4201,plain,
~ spl0_29,
inference(rat,[],[s74,s4196]) ).
cnf(s4203,plain,
spl0_403,
inference(rat,[],[s3720,s2851,s4197]) ).
cnf(s4206,plain,
spl0_49,
inference(rat,[],[s54,s4198]) ).
cnf(s4207,plain,
spl0_25,
inference(rat,[],[s21,s4198]) ).
cnf(s4208,plain,
spl0_367,
inference(rat,[],[s2236,s4199]) ).
cnf(s4212,plain,
spl0_38,
inference(rat,[],[s1903,s4201]) ).
cnf(s4213,plain,
spl0_30,
inference(rat,[],[s24,s4201]) ).
cnf(s4214,plain,
spl0_34,
inference(rat,[],[s2447,s4173,s4201]) ).
cnf(s4217,plain,
~ spl0_445,
inference(rat,[],[s2336,s4196,s4206,s4208]) ).
cnf(s4219,plain,
~ spl0_655,
inference(rat,[],[s3185,s4197,s4212]) ).
cnf(s4222,plain,
spl0_67,
inference(rat,[],[s71,s4212,s4196,s4213]) ).
cnf(s4223,plain,
~ spl0_5,
inference(rat,[],[s3841,s4214]) ).
cnf(s4224,plain,
spl0_50,
inference(rat,[],[s3771,s4206,s4222]) ).
cnf(s4226,plain,
spl0_47,
inference(rat,[],[s3360,s4173,s4223]) ).
cnf(s4227,plain,
( spl0_140
| spl0_368 ),
inference(rat,[],[s17,s68,s86,s2224,s2350,s3859,s2302,s2028,s16,s10,s104,s3919,s2164,s2116,s2386,s1185,s3806,s3873,s2113,s2450,s2213,s3169,s2072,s2031,s3027,s2449,s3356,s3178,s2410,s4196,s4206,s4212,s4207,s4217,s1177,s4173,s1114,s4219,s4201,s4224,s4208]) ).
cnf(s4229,plain,
( ~ spl0_8
| spl0_368 ),
inference(rat,[],[s3127,s3714,s3548,s2269,s2192,s3675,s3169,s3708,s1185,s2115,s3890,s3430,s4227,s3178,s2410,s3027,s2449,s1559,s4223,s1177,s4219,s4201,s1114,s4207,s4217,s4208]) ).
cnf(s4230,plain,
spl0_368,
inference(rat,[],[s2269,s2179,s3859,s4,s3427,s4229,s1185,s2208,s2115,s3893,s3890,s3430,s4227,s3178,s3027,s2072,s2410,s3169,s2449,s2031,s4173,s1177,s4223,s1114,s4219,s4224,s4217,s4207,s4208,s4201]) ).
cnf(s4231,plain,
~ spl0_382,
inference(rat,[],[s2114,s4230]) ).
cnf(s4233,plain,
( ~ spl0_328
| spl0_291
| spl0_140 ),
inference(rat,[],[s2113,s4068,s3027,s2245,s3904,s2450,s4231,s4199,s4219,s4203,s4173]) ).
cnf(s4234,plain,
( spl0_291
| spl0_140 ),
inference(rat,[],[s3418,s3445,s2939,s3923,s2974,s3911,s3877,s67,s2194,s3880,s2,s2208,s2113,s2131,s2461,s3873,s3022,s4233,s3867,s2213,s2450,s1114,s1559,s2851,s4196,s4208,s4173]) ).
cnf(s4235,plain,
( spl0_22
| spl0_33 ),
inference(rat,[],[s3427,s3859,s3675,s4173,s4223]) ).
cnf(s4236,plain,
( ~ spl0_371
| spl0_140 ),
inference(rat,[],[s2408,s3539,s2212,s3851,s3427,s11,s2055,s3890,s2360,s1186,s3356,s2345,s86,s4235,s2072,s2361,s16,s104,s1268,s17,s68,s2225,s3358,s4234,s4212,s4173,s4231,s4230,s4206,s4196,s4224,s1177]) ).
cnf(s4237,plain,
spl0_140,
inference(rat,[],[s3818,s69,s3920,s84,s2325,s13,s2208,s3662,s2347,s3173,s67,s3596,s3880,s4236,s2939,s3586,s3679,s86,s4235,s17,s16,s68,s104,s3850,s2072,s1186,s2225,s1268,s2360,s2361,s3356,s3358,s4234,s2851,s4196,s1488,s4226,s4206,s4203,s1114,s4231,s4212,s4224,s1177]) ).
cnf(s4238,plain,
~ spl0_291,
inference(rat,[],[s2387,s4237]) ).
cnf(s4240,plain,
spl0_294,
inference(rat,[],[s3708,s4223,s4237]) ).
cnf(s4241,plain,
( ~ spl0_328
| ~ spl0_330 ),
inference(rat,[],[s3547,s2245,s4199,s4203]) ).
cnf(s4242,plain,
~ spl0_371,
inference(rat,[],[s3545,s3600,s3615,s2113,s2461,s3873,s3022,s4241,s1186,s3430,s3890,s4199,s4212,s4240,s4238,s1114,s1177,s4237,s4231]) ).
cnf(s4243,plain,
~ spl0_62,
inference(rat,[],[s3880,s4242]) ).
cnf(s4247,plain,
~ spl0_331,
inference(rat,[],[s3429,s4237,s4226,s4242]) ).
cnf(s4248,plain,
spl0_61,
inference(rat,[],[s67,s4196,s4243]) ).
cnf(s4251,plain,
spl0_330,
inference(rat,[],[s1186,s1177,s4247]) ).
cnf(s4254,plain,
~ spl0_373,
inference(rat,[],[s2347,s4203,s4251,s4196,s4248]) ).
cnf(s4258,plain,
~ spl0_328,
inference(rat,[],[s4241,s4251]) ).
cnf(s4260,plain,
spl0_446,
inference(rat,[],[s2208,s4254]) ).
cnf(s4261,plain,
spl0_329,
inference(rat,[],[s3022,s1114,s4258]) ).
cnf(s4263,plain,
$false,
inference(rat,[],[s2461,s4240,s4261,s4260]) ).
thf(f38229,plain,
$false,
inference(avatar_sat_refutation,[],[s4263]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA145^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n008.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 19:04:10 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.36 % (3586674)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.36 % (3586679)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1334125882:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.36 % (3586685)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.36 % (3586685)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.20/0.36 % (3586680)lrs+10_16_si=on:nwc=1.5:random_seed=326306408:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.36 % (3586681)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1946151073:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.36 % (3586685)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=114863378:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.36 % (3586682)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=616545940:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.20/0.36 % (3586683)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=615745217:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.36 % (3586684)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=813404750:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.36 % (3586681)Instruction limit reached!
% 0.20/0.36 % (3586681)------------------------------
% 0.20/0.36 % (3586681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (3586681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (3586681)CaDiCaL version: 2.1.3
% 0.20/0.36 % (3586681)Termination reason: Instruction limit
% 0.20/0.36 % (3586681)Termination phase: Saturation
% 0.20/0.36 % (3586681)Time elapsed: 0.003 s
% 0.20/0.36 % (3586681)Peak memory usage: 12 MB
% 0.20/0.36 % (3586681)Instructions burned: 4 (million)
% 0.20/0.36 % (3586680)Instruction limit reached!
% 0.20/0.36 % (3586680)------------------------------
% 0.20/0.36 % (3586680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (3586680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (3586680)CaDiCaL version: 2.1.3
% 0.20/0.36 % (3586680)Termination reason: Instruction limit
% 0.20/0.36 % (3586680)Termination phase: Saturation
% 0.20/0.36 % (3586680)Time elapsed: 0.009 s
% 0.20/0.36 % (3586680)Peak memory usage: 12 MB
% 0.20/0.36 % (3586680)Instructions burned: 19 (million)
% 0.20/0.36 % (3586679)Instruction limit reached!
% 0.20/0.36 % (3586679)------------------------------
% 0.20/0.36 % (3586679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (3586679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (3586679)CaDiCaL version: 2.1.3
% 0.20/0.36 % (3586679)Termination reason: Instruction limit
% 0.20/0.36 % (3586679)Termination phase: Saturation
% 0.20/0.36 % (3586679)Time elapsed: 0.019 s
% 0.20/0.36 % (3586679)Peak memory usage: 12 MB
% 0.20/0.36 % (3586679)Instructions burned: 87 (million)
% 0.20/0.36 % (3586683)Instruction limit reached!
% 0.20/0.36 % (3586683)------------------------------
% 0.20/0.36 % (3586683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (3586683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (3586683)CaDiCaL version: 2.1.3
% 0.20/0.36 % (3586683)Termination reason: Instruction limit
% 0.20/0.36 % (3586683)Termination phase: Saturation
% 0.20/0.36 % (3586683)Time elapsed: 0.011 s
% 0.20/0.36 % (3586683)Peak memory usage: 11 MB
% 0.20/0.36 % (3586683)Instructions burned: 24 (million)
% 0.20/0.36 % (3586695)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.36 % (3586695)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2716924558:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.77/0.38 % (3586693)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2930887402:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.77/0.38 % (3586695)Instruction limit reached!
% 0.77/0.38 % (3586695)------------------------------
% 0.77/0.38 % (3586695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.38 % (3586695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.38 % (3586695)CaDiCaL version: 2.1.3
% 0.77/0.38 % (3586695)Termination reason: Instruction limit
% 0.77/0.38 % (3586695)Termination phase: Saturation
% 0.77/0.38 % (3586695)Time elapsed: 0.003 s
% 0.77/0.38 % (3586695)Peak memory usage: 12 MB
% 0.77/0.38 % (3586695)Instructions burned: 10 (million)
% 0.77/0.38 % (3586693)Instruction limit reached!
% 0.77/0.38 % (3586693)------------------------------
% 0.77/0.38 % (3586693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.38 % (3586693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.38 % (3586693)CaDiCaL version: 2.1.3
% 0.77/0.38 % (3586693)Termination reason: Instruction limit
% 0.77/0.38 % (3586693)Termination phase: Saturation
% 0.77/0.38 % (3586693)Time elapsed: 0.002 s
% 0.77/0.38 % (3586693)Peak memory usage: 12 MB
% 0.77/0.38 % (3586693)Instructions burned: 2 (million)
% 0.77/0.38 % (3586694)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2377243519:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.77/0.38 % (3586696)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1533378223:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.77/0.38 % (3586699)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.77/0.38 % (3586699)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.77/0.38 % (3586694)Instruction limit reached!
% 0.77/0.38 % (3586694)------------------------------
% 0.77/0.38 % (3586694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.38 % (3586694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.38 % (3586694)CaDiCaL version: 2.1.3
% 0.77/0.38 % (3586694)Termination reason: Instruction limit
% 0.77/0.38 % (3586694)Termination phase: Saturation
% 0.77/0.38 % (3586694)Time elapsed: 0.004 s
% 0.77/0.38 % (3586694)Peak memory usage: 11 MB
% 0.77/0.38 % (3586694)Instructions burned: 6 (million)
% 0.77/0.38 % (3586699)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1110022716:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.77/0.38 % (3586684)Instruction limit reached!
% 0.77/0.38 % (3586684)------------------------------
% 0.77/0.38 % (3586684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.38 % (3586684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.38 % (3586684)CaDiCaL version: 2.1.3
% 0.77/0.38 % (3586684)Termination reason: Instruction limit
% 0.77/0.38 % (3586684)Termination phase: Saturation
% 0.77/0.38 % (3586684)Time elapsed: 0.035 s
% 0.77/0.38 % (3586684)Peak memory usage: 12 MB
% 0.77/0.38 % (3586684)Instructions burned: 76 (million)
% 0.77/0.38 % (3586696)Instruction limit reached!
% 0.77/0.38 % (3586696)------------------------------
% 0.77/0.38 % (3586696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.38 % (3586696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.38 % (3586696)CaDiCaL version: 2.1.3
% 0.77/0.38 % (3586696)Termination reason: Instruction limit
% 0.77/0.38 % (3586696)Termination phase: Saturation
% 0.77/0.38 % (3586696)Time elapsed: 0.010 s
% 0.77/0.38 % (3586696)Peak memory usage: 12 MB
% 0.77/0.38 % (3586696)Instructions burned: 17 (million)
% 0.77/0.38 % (3586699)Instruction limit reached!
% 0.77/0.38 % (3586699)------------------------------
% 0.77/0.38 % (3586699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.38 % (3586699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.38 % (3586699)CaDiCaL version: 2.1.3
% 0.77/0.38 % (3586699)Termination reason: Instruction limit
% 0.77/0.38 % (3586699)Termination phase: Saturation
% 0.77/0.40 % (3586699)Time elapsed: 0.007 s
% 0.77/0.40 % (3586699)Peak memory usage: 12 MB
% 0.77/0.40 % (3586699)Instructions burned: 29 (million)
% 0.77/0.40 % (3586700)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=258426498:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.77/0.40 % (3586705)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.77/0.40 % (3586703)lrs+10_1_si=on:cs=on:random_seed=3582194732:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.77/0.40 % (3586708)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3487292773:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.77/0.40 % (3586708)Refutation not found, incomplete strategy
% 0.77/0.40 % (3586708)------------------------------
% 0.77/0.40 % (3586708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.40 % (3586708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.40 % (3586708)CaDiCaL version: 2.1.3
% 0.77/0.40 % (3586708)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.40 % (3586708)Time elapsed: 0.0000 s
% 0.77/0.40 % (3586708)Peak memory usage: 11 MB
% 0.77/0.40 % (3586705)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=1167356825:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.77/0.40 % (3586708)------------------------------
% 0.77/0.40 % (3586708)------------------------------
% 0.77/0.40 % (3586705)Instruction limit reached!
% 0.77/0.40 % (3586705)------------------------------
% 0.77/0.40 % (3586705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.40 % (3586705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.40 % (3586705)CaDiCaL version: 2.1.3
% 0.77/0.40 % (3586705)Termination reason: Instruction limit
% 0.77/0.40 % (3586705)Termination phase: Saturation
% 0.77/0.40 % (3586705)Time elapsed: 0.002 s
% 0.77/0.40 % (3586705)Peak memory usage: 12 MB
% 0.77/0.40 % (3586705)Instructions burned: 2 (million)
% 0.77/0.40 % (3586703)Instruction limit reached!
% 0.77/0.40 % (3586703)------------------------------
% 0.77/0.40 % (3586703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.40 % (3586703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.40 % (3586703)CaDiCaL version: 2.1.3
% 0.77/0.40 % (3586703)Termination reason: Instruction limit
% 0.77/0.40 % (3586703)Termination phase: Saturation
% 0.77/0.40 % (3586703)Time elapsed: 0.005 s
% 0.77/0.40 % (3586703)Peak memory usage: 11 MB
% 0.77/0.40 % (3586703)Instructions burned: 10 (million)
% 0.77/0.40 % (3586707)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3577465543:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.77/0.40 % (3586707)Refutation not found, incomplete strategy
% 0.77/0.40 % (3586707)------------------------------
% 0.77/0.40 % (3586707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.40 % (3586707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.40 % (3586707)CaDiCaL version: 2.1.3
% 0.77/0.40 % (3586707)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.40 % (3586707)Time elapsed: 0.001 s
% 0.77/0.40 % (3586707)Peak memory usage: 11 MB
% 0.77/0.40 % (3586707)------------------------------
% 0.77/0.40 % (3586707)------------------------------
% 0.77/0.40 % (3586685)Instruction limit reached!
% 0.77/0.40 % (3586685)------------------------------
% 0.77/0.40 % (3586685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.40 % (3586685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.40 % (3586685)CaDiCaL version: 2.1.3
% 0.77/0.40 % (3586685)Termination reason: Instruction limit
% 0.77/0.40 % (3586685)Termination phase: Saturation
% 0.77/0.40 % (3586685)Time elapsed: 0.065 s
% 0.77/0.40 % (3586685)Peak memory usage: 12 MB
% 0.77/0.40 % (3586685)Instructions burned: 158 (million)
% 0.77/0.40 % (3586712)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1884926470:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.77/0.40 % (3586712)Refutation not found, incomplete strategy
% 0.77/0.43 % (3586712)------------------------------
% 0.77/0.43 % (3586712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.43 % (3586712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.43 % (3586712)CaDiCaL version: 2.1.3
% 0.77/0.43 % (3586712)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.43 % (3586712)Time elapsed: 0.0000 s
% 0.77/0.43 % (3586712)Peak memory usage: 11 MB
% 0.77/0.43 % (3586712)------------------------------
% 0.77/0.43 % (3586712)------------------------------
% 0.77/0.43 % (3586713)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4163775105:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.77/0.43 % (3586716)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2363662443:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.77/0.43 % (3586714)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1351833524:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.77/0.43 % (3586714)Refutation not found, incomplete strategy
% 0.77/0.43 % (3586714)------------------------------
% 0.77/0.43 % (3586714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.43 % (3586714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.43 % (3586714)CaDiCaL version: 2.1.3
% 0.77/0.43 % (3586714)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.43 % (3586714)Time elapsed: 0.001 s
% 0.77/0.43 % (3586714)Peak memory usage: 12 MB
% 0.77/0.43 % (3586714)------------------------------
% 0.77/0.43 % (3586714)------------------------------
% 0.77/0.43 % (3586716)Instruction limit reached!
% 0.77/0.43 % (3586716)------------------------------
% 0.77/0.43 % (3586716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.43 % (3586716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.43 % (3586716)CaDiCaL version: 2.1.3
% 0.77/0.43 % (3586716)Termination reason: Instruction limit
% 0.77/0.43 % (3586716)Termination phase: Saturation
% 0.77/0.43 % (3586716)Time elapsed: 0.004 s
% 0.77/0.43 % (3586716)Peak memory usage: 12 MB
% 0.77/0.43 % (3586716)Instructions burned: 15 (million)
% 0.77/0.43 % (3586718)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=352507325:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.77/0.43 % (3586700)Instruction limit reached!
% 0.77/0.43 % (3586700)------------------------------
% 0.77/0.43 % (3586700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.43 % (3586700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.43 % (3586700)CaDiCaL version: 2.1.3
% 0.77/0.43 % (3586700)Termination reason: Instruction limit
% 0.77/0.43 % (3586700)Termination phase: Saturation
% 0.77/0.43 % (3586700)Time elapsed: 0.041 s
% 0.77/0.43 % (3586700)Peak memory usage: 12 MB
% 0.77/0.43 % (3586700)Instructions burned: 86 (million)
% 0.77/0.43 % (3586719)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=878060949:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.77/0.43 % (3586718)Refutation not found, incomplete strategy
% 0.77/0.43 % (3586718)------------------------------
% 0.77/0.43 % (3586718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.43 % (3586718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.43 % (3586718)CaDiCaL version: 2.1.3
% 0.77/0.43 % (3586718)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.43 % (3586718)Time elapsed: 0.0000 s
% 0.77/0.43 % (3586718)Peak memory usage: 11 MB
% 0.77/0.43 % (3586713)Instruction limit reached!
% 0.77/0.43 % (3586713)------------------------------
% 0.77/0.43 % (3586713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.43 % (3586713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.43 % (3586713)CaDiCaL version: 2.1.3
% 0.77/0.43 % (3586713)Termination reason: Instruction limit
% 0.77/0.43 % (3586713)Termination phase: Saturation
% 0.77/0.43 % (3586713)Time elapsed: 0.009 s
% 0.77/0.43 % (3586713)Peak memory usage: 12 MB
% 0.77/0.43 % (3586713)Instructions burned: 15 (million)
% 0.77/0.43 % (3586718)------------------------------
% 0.77/0.43 % (3586718)------------------------------
% 0.77/0.46 % (3586724)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=265817199:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.77/0.46 % (3586723)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=921290278:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.77/0.46 % (3586727)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.77/0.46 % (3586719)Instruction limit reached!
% 0.77/0.46 % (3586719)------------------------------
% 0.77/0.46 % (3586719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.46 % (3586719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.46 % (3586727)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.77/0.46 % (3586719)CaDiCaL version: 2.1.3
% 0.77/0.46 % (3586719)Termination reason: Instruction limit
% 0.77/0.46 % (3586719)Termination phase: Saturation
% 0.77/0.46 % (3586719)Time elapsed: 0.014 s
% 0.77/0.46 % (3586719)Peak memory usage: 12 MB
% 0.77/0.46 % (3586719)Instructions burned: 28 (million)
% 0.77/0.46 % (3586728)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.77/0.46 % (3586727)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=3711351382:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.77/0.46 % (3586724)Instruction limit reached!
% 0.77/0.46 % (3586724)------------------------------
% 0.77/0.46 % (3586724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.46 % (3586724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.46 % (3586724)CaDiCaL version: 2.1.3
% 0.77/0.46 % (3586724)Termination reason: Instruction limit
% 0.77/0.46 % (3586724)Termination phase: Saturation
% 0.77/0.46 % (3586724)Time elapsed: 0.013 s
% 0.77/0.46 % (3586724)Peak memory usage: 12 MB
% 0.77/0.46 % (3586724)Instructions burned: 64 (million)
% 0.77/0.46 % (3586728)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=1555095496:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.77/0.46 % (3586729)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=2129472790:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.77/0.46 % (3586723)Instruction limit reached!
% 0.77/0.46 % (3586723)------------------------------
% 0.77/0.46 % (3586723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.46 % (3586723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.46 % (3586723)CaDiCaL version: 2.1.3
% 0.77/0.46 % (3586723)Termination reason: Instruction limit
% 0.77/0.46 % (3586723)Termination phase: Saturation
% 0.77/0.46 % (3586723)Time elapsed: 0.011 s
% 0.77/0.46 % (3586723)Peak memory usage: 11 MB
% 0.77/0.46 % (3586723)Instructions burned: 24 (million)
% 0.77/0.46 % (3586728)Instruction limit reached!
% 0.77/0.46 % (3586728)------------------------------
% 0.77/0.46 % (3586728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.46 % (3586728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.46 % (3586728)CaDiCaL version: 2.1.3
% 0.77/0.46 % (3586728)Termination reason: Instruction limit
% 0.77/0.46 % (3586728)Termination phase: Saturation
% 0.77/0.46 % (3586728)Time elapsed: 0.006 s
% 0.77/0.46 % (3586728)Peak memory usage: 12 MB
% 0.77/0.46 % (3586728)Instructions burned: 10 (million)
% 0.77/0.46 % (3586727)Instruction limit reached!
% 0.77/0.46 % (3586727)------------------------------
% 0.77/0.46 % (3586727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.46 % (3586727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.46 % (3586727)CaDiCaL version: 2.1.3
% 0.77/0.46 % (3586727)Termination reason: Instruction limit
% 0.77/0.46 % (3586727)Termination phase: Saturation
% 0.77/0.46 % (3586727)Time elapsed: 0.009 s
% 0.77/0.46 % (3586727)Peak memory usage: 12 MB
% 1.45/0.50 % (3586727)Instructions burned: 14 (million)
% 1.45/0.50 % (3586734)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2422393021:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.45/0.50 % (3586732)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2254182989:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.45/0.50 % (3586734)Instruction limit reached!
% 1.45/0.50 % (3586734)------------------------------
% 1.45/0.50 % (3586734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.50 % (3586734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.50 % (3586734)CaDiCaL version: 2.1.3
% 1.45/0.50 % (3586734)Termination reason: Instruction limit
% 1.45/0.50 % (3586734)Termination phase: Saturation
% 1.45/0.50 % (3586734)Time elapsed: 0.005 s
% 1.45/0.50 % (3586734)Peak memory usage: 11 MB
% 1.45/0.50 % (3586734)Instructions burned: 24 (million)
% 1.45/0.50 % (3586729)Instruction limit reached!
% 1.45/0.50 % (3586729)------------------------------
% 1.45/0.50 % (3586729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.50 % (3586729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.50 % (3586729)CaDiCaL version: 2.1.3
% 1.45/0.50 % (3586729)Termination reason: Instruction limit
% 1.45/0.50 % (3586729)Termination phase: Saturation
% 1.45/0.50 % (3586729)Time elapsed: 0.016 s
% 1.45/0.50 % (3586729)Peak memory usage: 12 MB
% 1.45/0.50 % (3586729)Instructions burned: 31 (million)
% 1.45/0.50 % (3586732)Instruction limit reached!
% 1.45/0.50 % (3586732)------------------------------
% 1.45/0.50 % (3586732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.50 % (3586732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.50 % (3586732)CaDiCaL version: 2.1.3
% 1.45/0.50 % (3586732)Termination reason: Instruction limit
% 1.45/0.50 % (3586732)Termination phase: Saturation
% 1.45/0.50 % (3586732)Time elapsed: 0.005 s
% 1.45/0.50 % (3586732)Peak memory usage: 12 MB
% 1.45/0.50 % (3586732)Instructions burned: 9 (million)
% 1.45/0.50 % (3586737)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1342982767:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.45/0.50 % (3586742)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2695548770:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.45/0.50 % (3586738)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4128426270:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.45/0.50 % (3586742)Refutation not found, incomplete strategy
% 1.45/0.50 % (3586742)------------------------------
% 1.45/0.50 % (3586742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.50 % (3586742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.50 % (3586742)CaDiCaL version: 2.1.3
% 1.45/0.50 % (3586742)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.50 % (3586742)Time elapsed: 0.0000 s
% 1.45/0.50 % (3586742)Peak memory usage: 11 MB
% 1.45/0.50 % (3586742)------------------------------
% 1.45/0.50 % (3586742)------------------------------
% 1.45/0.50 % (3586739)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1041944221:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.45/0.50 % (3586744)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.45/0.50 % (3586743)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=911785517:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.45/0.50 % (3586737)Instruction limit reached!
% 1.45/0.50 % (3586737)------------------------------
% 1.45/0.50 % (3586737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.50 % (3586737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.50 % (3586737)CaDiCaL version: 2.1.3
% 1.45/0.50 % (3586737)Termination reason: Instruction limit
% 1.45/0.50 % (3586737)Termination phase: Saturation
% 1.45/0.50 % (3586737)Time elapsed: 0.014 s
% 1.45/0.50 % (3586737)Peak memory usage: 12 MB
% 1.45/0.50 % (3586737)Instructions burned: 28 (million)
% 1.45/0.50 % (3586749)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3929479938:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.45/0.54 % (3586749)Refutation not found, incomplete strategy
% 1.45/0.54 % (3586749)------------------------------
% 1.45/0.54 % (3586749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54 % (3586749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.54 % (3586749)CaDiCaL version: 2.1.3
% 1.45/0.54 % (3586749)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.54 % (3586749)Time elapsed: 0.0000 s
% 1.45/0.54 % (3586749)Peak memory usage: 11 MB
% 1.45/0.54 % (3586749)------------------------------
% 1.45/0.54 % (3586749)------------------------------
% 1.45/0.54 % (3586744)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4118278181:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.45/0.54 % (3586744)Instruction limit reached!
% 1.45/0.54 % (3586744)------------------------------
% 1.45/0.54 % (3586744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54 % (3586744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.54 % (3586744)CaDiCaL version: 2.1.3
% 1.45/0.54 % (3586744)Termination reason: Instruction limit
% 1.45/0.54 % (3586744)Termination phase: Saturation
% 1.45/0.54 % (3586744)Time elapsed: 0.004 s
% 1.45/0.54 % (3586744)Peak memory usage: 12 MB
% 1.45/0.54 % (3586744)Instructions burned: 7 (million)
% 1.45/0.54 % (3586754)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.45/0.54 % (3586754)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3536816386:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.45/0.54 % (3586754)Refutation not found, incomplete strategy
% 1.45/0.54 % (3586754)------------------------------
% 1.45/0.54 % (3586754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54 % (3586754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.54 % (3586754)CaDiCaL version: 2.1.3
% 1.45/0.54 % (3586754)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.54 % (3586754)Time elapsed: 0.0000 s
% 1.45/0.54 % (3586754)Peak memory usage: 11 MB
% 1.45/0.54 % (3586754)Instructions burned: 1 (million)
% 1.45/0.54 % (3586754)------------------------------
% 1.45/0.54 % (3586754)------------------------------
% 1.45/0.54 % (3586752)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=4014381586:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.45/0.54 % (3586743)Instruction limit reached!
% 1.45/0.54 % (3586743)------------------------------
% 1.45/0.54 % (3586743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54 % (3586743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.54 % (3586743)CaDiCaL version: 2.1.3
% 1.45/0.54 % (3586743)Termination reason: Instruction limit
% 1.45/0.54 % (3586743)Termination phase: Saturation
% 1.45/0.54 % (3586743)Time elapsed: 0.020 s
% 1.45/0.54 % (3586743)Peak memory usage: 12 MB
% 1.45/0.54 % (3586743)Instructions burned: 42 (million)
% 1.45/0.54 % (3586752)Refutation not found, incomplete strategy
% 1.45/0.54 % (3586752)------------------------------
% 1.45/0.54 % (3586752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54 % (3586752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.54 % (3586752)CaDiCaL version: 2.1.3
% 1.45/0.54 % (3586752)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.54 % (3586752)Time elapsed: 0.001 s
% 1.45/0.54 % (3586752)Peak memory usage: 12 MB
% 1.45/0.54 % (3586752)------------------------------
% 1.45/0.54 % (3586752)------------------------------
% 1.45/0.54 % (3586757)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1099852291:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.45/0.54 % (3586757)Refutation not found, incomplete strategy
% 1.45/0.54 % (3586757)------------------------------
% 1.45/0.54 % (3586757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.54 % (3586757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.59 % (3586757)CaDiCaL version: 2.1.3
% 2.16/0.59 % (3586757)Termination reason: Refutation not found, incomplete strategy
% 2.16/0.59 % (3586757)Time elapsed: 0.001 s
% 2.16/0.59 % (3586757)Peak memory usage: 12 MB
% 2.16/0.59 % (3586757)Instructions burned: 2 (million)
% 2.16/0.59 % (3586755)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2616087321:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 2.16/0.59 % (3586757)------------------------------
% 2.16/0.59 % (3586757)------------------------------
% 2.16/0.59 % (3586763)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=201404216:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.16/0.59 % (3586755)Instruction limit reached!
% 2.16/0.59 % (3586755)------------------------------
% 2.16/0.59 % (3586755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.59 % (3586755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.59 % (3586755)CaDiCaL version: 2.1.3
% 2.16/0.59 % (3586755)Termination reason: Instruction limit
% 2.16/0.59 % (3586755)Termination phase: Saturation
% 2.16/0.59 % (3586755)Time elapsed: 0.011 s
% 2.16/0.59 % (3586755)Peak memory usage: 12 MB
% 2.16/0.59 % (3586755)Instructions burned: 24 (million)
% 2.16/0.59 % (3586759)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=2539399485:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 2.16/0.59 % (3586760)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=3622121395:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.16/0.59 % (3586763)Instruction limit reached!
% 2.16/0.59 % (3586763)------------------------------
% 2.16/0.59 % (3586763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.59 % (3586763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.59 % (3586763)CaDiCaL version: 2.1.3
% 2.16/0.59 % (3586763)Termination reason: Instruction limit
% 2.16/0.59 % (3586763)Termination phase: Saturation
% 2.16/0.59 % (3586763)Time elapsed: 0.013 s
% 2.16/0.59 % (3586763)Peak memory usage: 12 MB
% 2.16/0.59 % (3586763)Instructions burned: 48 (million)
% 2.16/0.59 % (3586739)Instruction limit reached!
% 2.16/0.59 % (3586739)------------------------------
% 2.16/0.59 % (3586739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.59 % (3586739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.59 % (3586739)CaDiCaL version: 2.1.3
% 2.16/0.59 % (3586739)Termination reason: Instruction limit
% 2.16/0.59 % (3586739)Termination phase: Saturation
% 2.16/0.59 % (3586739)Time elapsed: 0.057 s
% 2.16/0.59 % (3586739)Peak memory usage: 13 MB
% 2.16/0.59 % (3586739)Instructions burned: 144 (million)
% 2.16/0.59 % (3586765)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1535924467:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.16/0.59 % (3586765)Refutation not found, incomplete strategy
% 2.16/0.59 % (3586765)------------------------------
% 2.16/0.59 % (3586765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.59 % (3586765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.59 % (3586765)CaDiCaL version: 2.1.3
% 2.16/0.59 % (3586765)Termination reason: Refutation not found, incomplete strategy
% 2.16/0.59 % (3586765)Time elapsed: 0.001 s
% 2.16/0.59 % (3586765)Peak memory usage: 11 MB
% 2.16/0.59 % (3586765)Instructions burned: 1 (million)
% 2.16/0.59 % (3586765)------------------------------
% 2.16/0.59 % (3586765)------------------------------
% 2.16/0.59 % (3586768)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1302188975:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.16/0.59 % (3586769)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.16/0.59 % (3586768)Instruction limit reached!
% 2.16/0.59 % (3586768)------------------------------
% 2.16/0.59 % (3586768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.65 % (3586768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.65 % (3586768)CaDiCaL version: 2.1.3
% 2.54/0.65 % (3586768)Termination reason: Instruction limit
% 2.54/0.65 % (3586768)Termination phase: Saturation
% 2.54/0.65 % (3586768)Time elapsed: 0.006 s
% 2.54/0.65 % (3586768)Peak memory usage: 12 MB
% 2.54/0.65 % (3586768)Instructions burned: 23 (million)
% 2.54/0.65 % (3586769)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2582063120:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.54/0.65 % (3586682)Instruction limit reached!
% 2.54/0.65 % (3586682)------------------------------
% 2.54/0.65 % (3586682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.65 % (3586682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.65 % (3586682)CaDiCaL version: 2.1.3
% 2.54/0.65 % (3586682)Termination reason: Instruction limit
% 2.54/0.65 % (3586682)Termination phase: Saturation
% 2.54/0.65 % (3586682)Time elapsed: 0.208 s
% 2.54/0.65 % (3586682)Peak memory usage: 13 MB
% 2.54/0.65 % (3586682)Instructions burned: 637 (million)
% 2.54/0.65 % (3586773)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=507301801:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.54/0.65 % (3586772)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3774213009:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.54/0.65 % (3586772)Instruction limit reached!
% 2.54/0.65 % (3586772)------------------------------
% 2.54/0.65 % (3586772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.65 % (3586772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.65 % (3586772)CaDiCaL version: 2.1.3
% 2.54/0.65 % (3586772)Termination reason: Instruction limit
% 2.54/0.65 % (3586772)Termination phase: Saturation
% 2.54/0.65 % (3586772)Time elapsed: 0.007 s
% 2.54/0.65 % (3586772)Peak memory usage: 12 MB
% 2.54/0.65 % (3586772)Instructions burned: 13 (million)
% 2.54/0.65 % (3586775)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=4096822036:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.54/0.65 % (3586775)Refutation not found, incomplete strategy
% 2.54/0.65 % (3586775)------------------------------
% 2.54/0.65 % (3586775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.65 % (3586775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.65 % (3586775)CaDiCaL version: 2.1.3
% 2.54/0.65 % (3586775)Termination reason: Refutation not found, incomplete strategy
% 2.54/0.65 % (3586775)Time elapsed: 0.001 s
% 2.54/0.65 % (3586775)Peak memory usage: 11 MB
% 2.54/0.65 % (3586775)Instructions burned: 1 (million)
% 2.54/0.65 % (3586775)------------------------------
% 2.54/0.65 % (3586775)------------------------------
% 2.54/0.65 % (3586773)Instruction limit reached!
% 2.54/0.65 % (3586773)------------------------------
% 2.54/0.65 % (3586773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.65 % (3586773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.65 % (3586773)CaDiCaL version: 2.1.3
% 2.54/0.65 % (3586773)Termination reason: Instruction limit
% 2.54/0.65 % (3586773)Termination phase: Saturation
% 2.54/0.65 % (3586773)Time elapsed: 0.017 s
% 2.54/0.65 % (3586773)Peak memory usage: 12 MB
% 2.54/0.65 % (3586773)Instructions burned: 69 (million)
% 2.54/0.65 % (3586781)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=3563307107:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 2.54/0.65 % (3586778)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3809207184:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.54/0.65 % (3586780)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1978469114:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.54/0.65 % (3586781)Instruction limit reached!
% 2.54/0.65 % (3586781)------------------------------
% 2.54/0.65 % (3586781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (3586781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (3586781)CaDiCaL version: 2.1.3
% 2.54/0.69 % (3586781)Termination reason: Instruction limit
% 2.54/0.69 % (3586781)Termination phase: Saturation
% 2.54/0.69 % (3586781)Time elapsed: 0.010 s
% 2.54/0.69 % (3586781)Peak memory usage: 12 MB
% 2.54/0.69 % (3586781)Instructions burned: 35 (million)
% 2.54/0.69 % (3586778)Instruction limit reached!
% 2.54/0.69 % (3586778)------------------------------
% 2.54/0.69 % (3586778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (3586778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (3586778)CaDiCaL version: 2.1.3
% 2.54/0.69 % (3586778)Termination reason: Instruction limit
% 2.54/0.69 % (3586778)Termination phase: Saturation
% 2.54/0.69 % (3586778)Time elapsed: 0.018 s
% 2.54/0.69 % (3586778)Peak memory usage: 11 MB
% 2.54/0.69 % (3586778)Instructions burned: 31 (million)
% 2.54/0.69 % (3586785)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=512114077:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 2.54/0.69 % (3586785)Refutation not found, incomplete strategy
% 2.54/0.69 % (3586785)------------------------------
% 2.54/0.69 % (3586785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (3586785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (3586785)CaDiCaL version: 2.1.3
% 2.54/0.69 % (3586785)Termination reason: Refutation not found, incomplete strategy
% 2.54/0.69 % (3586785)Time elapsed: 0.0000 s
% 2.54/0.69 % (3586785)Peak memory usage: 12 MB
% 2.54/0.69 % (3586785)Instructions burned: 1 (million)
% 2.54/0.69 % (3586785)------------------------------
% 2.54/0.69 % (3586785)------------------------------
% 2.54/0.69 % (3586788)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=600540351:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.54/0.69 % (3586788)Refutation not found, incomplete strategy
% 2.54/0.69 % (3586788)------------------------------
% 2.54/0.69 % (3586788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (3586788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (3586788)CaDiCaL version: 2.1.3
% 2.54/0.69 % (3586788)Termination reason: Refutation not found, incomplete strategy
% 2.54/0.69 % (3586788)Time elapsed: 0.0000 s
% 2.54/0.69 % (3586788)Peak memory usage: 12 MB
% 2.54/0.69 % (3586788)------------------------------
% 2.54/0.69 % (3586788)------------------------------
% 2.54/0.69 % (3586786)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.54/0.69 % (3586769)Instruction limit reached!
% 2.54/0.69 % (3586769)------------------------------
% 2.54/0.69 % (3586769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (3586769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (3586769)CaDiCaL version: 2.1.3
% 2.54/0.69 % (3586769)Termination reason: Instruction limit
% 2.54/0.69 % (3586769)Termination phase: Saturation
% 2.54/0.69 % (3586769)Time elapsed: 0.074 s
% 2.54/0.69 % (3586769)Peak memory usage: 12 MB
% 2.54/0.69 % (3586769)Instructions burned: 201 (million)
% 2.54/0.69 % (3586786)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1339771796:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 2.54/0.69 % (3586790)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=4081304439:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.54/0.69 % (3586780)Instruction limit reached!
% 2.54/0.69 % (3586780)------------------------------
% 2.54/0.69 % (3586780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (3586780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (3586780)CaDiCaL version: 2.1.3
% 2.54/0.69 % (3586780)Termination reason: Instruction limit
% 2.54/0.69 % (3586780)Termination phase: Saturation
% 2.54/0.69 % (3586780)Time elapsed: 0.047 s
% 2.54/0.69 % (3586780)Peak memory usage: 12 MB
% 2.54/0.69 % (3586780)Instructions burned: 137 (million)
% 2.54/0.69 % (3586792)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1060605518:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 2.54/0.69 % (3586792)Refutation not found, incomplete strategy
% 2.54/0.69 % (3586792)------------------------------
% 3.01/0.75 % (3586792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.75 % (3586792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.75 % (3586792)CaDiCaL version: 2.1.3
% 3.01/0.75 % (3586792)Termination reason: Refutation not found, incomplete strategy
% 3.01/0.75 % (3586792)Time elapsed: 0.001 s
% 3.01/0.75 % (3586792)Peak memory usage: 11 MB
% 3.01/0.75 % (3586792)------------------------------
% 3.01/0.75 % (3586792)------------------------------
% 3.01/0.75 % (3586794)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3954392589:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 3.01/0.75 % (3586794)Refutation not found, incomplete strategy
% 3.01/0.75 % (3586794)------------------------------
% 3.01/0.75 % (3586794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.75 % (3586794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.75 % (3586794)CaDiCaL version: 2.1.3
% 3.01/0.75 % (3586794)Termination reason: Refutation not found, incomplete strategy
% 3.01/0.75 % (3586794)Time elapsed: 0.001 s
% 3.01/0.75 % (3586794)Peak memory usage: 11 MB
% 3.01/0.75 % (3586794)------------------------------
% 3.01/0.75 % (3586794)------------------------------
% 3.01/0.75 % (3586796)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3930581700:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 3.01/0.75 % (3586796)Refutation not found, incomplete strategy
% 3.01/0.75 % (3586796)------------------------------
% 3.01/0.75 % (3586796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.75 % (3586796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.75 % (3586796)CaDiCaL version: 2.1.3
% 3.01/0.75 % (3586796)Termination reason: Refutation not found, incomplete strategy
% 3.01/0.75 % (3586796)Time elapsed: 0.001 s
% 3.01/0.75 % (3586796)Peak memory usage: 12 MB
% 3.01/0.75 % (3586796)------------------------------
% 3.01/0.75 % (3586796)------------------------------
% 3.01/0.75 % (3586798)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1137576715:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 3.01/0.75 % (3586798)Refutation not found, incomplete strategy
% 3.01/0.75 % (3586798)------------------------------
% 3.01/0.75 % (3586798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.75 % (3586798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.75 % (3586798)CaDiCaL version: 2.1.3
% 3.01/0.75 % (3586798)Termination reason: Refutation not found, incomplete strategy
% 3.01/0.75 % (3586798)Time elapsed: 0.001 s
% 3.01/0.75 % (3586798)Peak memory usage: 11 MB
% 3.01/0.75 % (3586798)Instructions burned: 1 (million)
% 3.01/0.75 % (3586798)------------------------------
% 3.01/0.75 % (3586798)------------------------------
% 3.01/0.75 % (3586790)Instruction limit reached!
% 3.01/0.75 % (3586790)------------------------------
% 3.01/0.75 % (3586790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.75 % (3586790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.75 % (3586790)CaDiCaL version: 2.1.3
% 3.01/0.75 % (3586790)Termination reason: Instruction limit
% 3.01/0.75 % (3586790)Termination phase: Saturation
% 3.01/0.75 % (3586790)Time elapsed: 0.042 s
% 3.01/0.75 % (3586790)Peak memory usage: 12 MB
% 3.01/0.75 % (3586790)Instructions burned: 97 (million)
% 3.01/0.75 % (3586800)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1733171794:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 3.01/0.75 % (3586759)Instruction limit reached!
% 3.01/0.75 % (3586759)------------------------------
% 3.01/0.75 % (3586759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.75 % (3586759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.75 % (3586759)CaDiCaL version: 2.1.3
% 3.01/0.75 % (3586759)Termination reason: Instruction limit
% 3.01/0.75 % (3586759)Termination phase: Saturation
% 3.01/0.75 % (3586759)Time elapsed: 0.164 s
% 3.01/0.75 % (3586759)Peak memory usage: 14 MB
% 3.01/0.75 % (3586759)Instructions burned: 316 (million)
% 3.01/0.75 % (3586803)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2889075475:i=450:rtra=on:ixr=off:ntd=on_2996 on theBenchmark for (2996ds/450Mi)
% 3.01/0.75 % (3586802)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=599330904:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 3.01/0.80 % (3586802)Refutation not found, incomplete strategy
% 3.01/0.80 % (3586802)------------------------------
% 3.01/0.80 % (3586802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.80 % (3586802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.80 % (3586802)CaDiCaL version: 2.1.3
% 3.01/0.80 % (3586802)Termination reason: Refutation not found, incomplete strategy
% 3.01/0.80 % (3586802)Time elapsed: 0.001 s
% 3.01/0.80 % (3586802)Peak memory usage: 12 MB
% 3.01/0.80 % (3586802)Instructions burned: 1 (million)
% 3.01/0.80 % (3586802)------------------------------
% 3.01/0.80 % (3586802)------------------------------
% 3.01/0.80 % (3586805)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=980660921:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/95Mi)
% 3.01/0.80 % (3586786)Instruction limit reached!
% 3.01/0.80 % (3586786)------------------------------
% 3.01/0.80 % (3586786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.80 % (3586786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.80 % (3586786)CaDiCaL version: 2.1.3
% 3.01/0.80 % (3586786)Termination reason: Instruction limit
% 3.01/0.80 % (3586786)Termination phase: Saturation
% 3.01/0.80 % (3586786)Time elapsed: 0.080 s
% 3.01/0.80 % (3586786)Peak memory usage: 12 MB
% 3.01/0.80 % (3586786)Instructions burned: 181 (million)
% 3.01/0.80 % (3586800)Instruction limit reached!
% 3.01/0.80 % (3586800)------------------------------
% 3.01/0.80 % (3586800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.80 % (3586800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.80 % (3586800)CaDiCaL version: 2.1.3
% 3.01/0.80 % (3586800)Termination reason: Instruction limit
% 3.01/0.80 % (3586800)Termination phase: Saturation
% 3.01/0.80 % (3586800)Time elapsed: 0.022 s
% 3.01/0.80 % (3586800)Peak memory usage: 12 MB
% 3.01/0.80 % (3586800)Instructions burned: 46 (million)
% 3.01/0.80 % (3586808)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=325334876:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2996 on theBenchmark for (2996ds/65Mi)
% 3.01/0.80 % (3586810)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=2011137812:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2995 on theBenchmark for (2995ds/105Mi)
% 3.01/0.80 % (3586811)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=737058159:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.01/0.80 % (3586811)Refutation not found, incomplete strategy
% 3.01/0.80 % (3586811)------------------------------
% 3.01/0.80 % (3586811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.80 % (3586811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.80 % (3586811)CaDiCaL version: 2.1.3
% 3.01/0.80 % (3586811)Termination reason: Refutation not found, incomplete strategy
% 3.01/0.80 % (3586811)Time elapsed: 0.001 s
% 3.01/0.80 % (3586811)Peak memory usage: 12 MB
% 3.01/0.80 % (3586811)------------------------------
% 3.01/0.80 % (3586811)------------------------------
% 3.01/0.80 % (3586815)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1975004007:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.01/0.80 % (3586805)Instruction limit reached!
% 3.01/0.80 % (3586805)------------------------------
% 3.01/0.80 % (3586805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.80 % (3586805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.80 % (3586805)CaDiCaL version: 2.1.3
% 3.01/0.80 % (3586805)Termination reason: Instruction limit
% 3.01/0.80 % (3586805)Termination phase: Saturation
% 3.01/0.80 % (3586805)Time elapsed: 0.041 s
% 3.01/0.80 % (3586805)Peak memory usage: 12 MB
% 3.01/0.80 % (3586805)Instructions burned: 97 (million)
% 3.01/0.80 % (3586815)Refutation not found, incomplete strategy
% 3.65/0.90 % (3586815)------------------------------
% 3.65/0.90 % (3586815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.90 % (3586815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.90 % (3586815)CaDiCaL version: 2.1.3
% 3.65/0.90 % (3586815)Termination reason: Refutation not found, incomplete strategy
% 3.65/0.90 % (3586815)Time elapsed: 0.0000 s
% 3.65/0.90 % (3586815)Peak memory usage: 11 MB
% 3.65/0.90 % (3586815)------------------------------
% 3.65/0.90 % (3586815)------------------------------
% 3.65/0.90 % (3586808)Instruction limit reached!
% 3.65/0.90 % (3586808)------------------------------
% 3.65/0.90 % (3586808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.90 % (3586808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.90 % (3586808)CaDiCaL version: 2.1.3
% 3.65/0.90 % (3586808)Termination reason: Instruction limit
% 3.65/0.90 % (3586808)Termination phase: Saturation
% 3.65/0.90 % (3586808)Time elapsed: 0.029 s
% 3.65/0.90 % (3586808)Peak memory usage: 12 MB
% 3.65/0.90 % (3586808)Instructions burned: 65 (million)
% 3.65/0.90 % (3586817)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1060536977:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 3.65/0.90 % (3586818)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=294706808:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.65/0.90 % (3586819)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=819148613:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 3.65/0.90 % (3586803)Instruction limit reached!
% 3.65/0.90 % (3586803)------------------------------
% 3.65/0.90 % (3586803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.90 % (3586803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.90 % (3586803)CaDiCaL version: 2.1.3
% 3.65/0.90 % (3586803)Termination reason: Instruction limit
% 3.65/0.90 % (3586803)Termination phase: Saturation
% 3.65/0.90 % (3586803)Time elapsed: 0.085 s
% 3.65/0.90 % (3586803)Peak memory usage: 12 MB
% 3.65/0.90 % (3586803)Instructions burned: 452 (million)
% 3.65/0.90 % (3586810)Instruction limit reached!
% 3.65/0.90 % (3586810)------------------------------
% 3.65/0.90 % (3586810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.90 % (3586810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.90 % (3586810)CaDiCaL version: 2.1.3
% 3.65/0.90 % (3586810)Termination reason: Instruction limit
% 3.65/0.90 % (3586810)Termination phase: Saturation
% 3.65/0.90 % (3586810)Time elapsed: 0.054 s
% 3.65/0.90 % (3586810)Peak memory usage: 12 MB
% 3.65/0.90 % (3586810)Instructions burned: 106 (million)
% 3.65/0.90 % (3586818)Instruction limit reached!
% 3.65/0.90 % (3586818)------------------------------
% 3.65/0.90 % (3586818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.90 % (3586818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.90 % (3586818)CaDiCaL version: 2.1.3
% 3.65/0.90 % (3586818)Termination reason: Instruction limit
% 3.65/0.90 % (3586818)Termination phase: Saturation
% 3.65/0.90 % (3586818)Time elapsed: 0.018 s
% 3.65/0.90 % (3586818)Peak memory usage: 12 MB
% 3.65/0.90 % (3586818)Instructions burned: 34 (million)
% 3.65/0.90 % (3586823)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1243773399:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.65/0.90 % (3586823)Refutation not found, incomplete strategy
% 3.65/0.90 % (3586823)------------------------------
% 3.65/0.90 % (3586823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.90 % (3586823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.90 % (3586823)CaDiCaL version: 2.1.3
% 3.65/0.90 % (3586823)Termination reason: Refutation not found, incomplete strategy
% 3.65/0.90 % (3586823)Time elapsed: 0.0000 s
% 3.65/0.90 % (3586823)Peak memory usage: 11 MB
% 3.65/0.90 % (3586823)------------------------------
% 3.65/0.90 % (3586823)------------------------------
% 3.65/0.90 % (3586824)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2786962767:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 3.83/0.95 % (3586827)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3187047933:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/28Mi)
% 3.83/0.95 % (3586827)Refutation not found, incomplete strategy
% 3.83/0.95 % (3586827)------------------------------
% 3.83/0.95 % (3586827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.95 % (3586827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.95 % (3586827)CaDiCaL version: 2.1.3
% 3.83/0.95 % (3586827)Termination reason: Refutation not found, incomplete strategy
% 3.83/0.95 % (3586827)Time elapsed: 0.0000 s
% 3.83/0.95 % (3586827)Peak memory usage: 11 MB
% 3.83/0.95 % (3586827)------------------------------
% 3.83/0.95 % (3586827)------------------------------
% 3.83/0.95 % (3586825)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=496213947:i=338:bd=all:ins=4:rtra=on_2995 on theBenchmark for (2995ds/338Mi)
% 3.83/0.95 % (3586830)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 3.83/0.95 % (3586819)Instruction limit reached!
% 3.83/0.95 % (3586819)------------------------------
% 3.83/0.95 % (3586819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.95 % (3586819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.95 % (3586819)CaDiCaL version: 2.1.3
% 3.83/0.95 % (3586819)Termination reason: Instruction limit
% 3.83/0.95 % (3586819)Termination phase: Saturation
% 3.83/0.95 % (3586819)Time elapsed: 0.039 s
% 3.83/0.95 % (3586819)Peak memory usage: 12 MB
% 3.83/0.95 % (3586819)Instructions burned: 93 (million)
% 3.83/0.95 % (3586824)Instruction limit reached!
% 3.83/0.95 % (3586824)------------------------------
% 3.83/0.95 % (3586824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.95 % (3586824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.95 % (3586824)CaDiCaL version: 2.1.3
% 3.83/0.95 % (3586824)Termination reason: Instruction limit
% 3.83/0.95 % (3586824)Termination phase: Saturation
% 3.83/0.95 % (3586824)Time elapsed: 0.010 s
% 3.83/0.95 % (3586824)Peak memory usage: 12 MB
% 3.83/0.95 % (3586824)Instructions burned: 22 (million)
% 3.83/0.95 % (3586830)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=876036600:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.83/0.95 % (3586832)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=2839455551:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 3.83/0.95 % (3586834)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2616088060:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 3.83/0.95 % (3586834)Refutation not found, incomplete strategy
% 3.83/0.95 % (3586834)------------------------------
% 3.83/0.95 % (3586834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.95 % (3586834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.95 % (3586834)CaDiCaL version: 2.1.3
% 3.83/0.95 % (3586834)Termination reason: Refutation not found, incomplete strategy
% 3.83/0.95 % (3586834)Time elapsed: 0.0000 s
% 3.83/0.95 % (3586834)Peak memory usage: 11 MB
% 3.83/0.95 % (3586834)------------------------------
% 3.83/0.95 % (3586834)------------------------------
% 3.83/0.95 % (3586830)Instruction limit reached!
% 3.83/0.95 % (3586830)------------------------------
% 3.83/0.95 % (3586830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.95 % (3586830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.95 % (3586830)CaDiCaL version: 2.1.3
% 3.83/0.95 % (3586830)Termination reason: Instruction limit
% 3.83/0.95 % (3586830)Termination phase: Saturation
% 3.83/0.95 % (3586830)Time elapsed: 0.033 s
% 3.83/0.95 % (3586830)Peak memory usage: 12 MB
% 3.83/0.95 % (3586830)Instructions burned: 141 (million)
% 3.83/0.95 % (3586837)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 3.83/0.95 % (3586837)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2250355305:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 3.83/0.99 % (3586838)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=540502914:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 3.83/0.99 % (3586760)Instruction limit reached!
% 3.83/0.99 % (3586760)------------------------------
% 3.83/0.99 % (3586760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.99 % (3586760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.99 % (3586760)CaDiCaL version: 2.1.3
% 3.83/0.99 % (3586760)Termination reason: Instruction limit
% 3.83/0.99 % (3586760)Termination phase: Saturation
% 3.83/0.99 % (3586760)Time elapsed: 0.343 s
% 3.83/0.99 % (3586760)Peak memory usage: 13 MB
% 3.83/0.99 % (3586760)Instructions burned: 855 (million)
% 3.83/0.99 % (3586838)Instruction limit reached!
% 3.83/0.99 % (3586838)------------------------------
% 3.83/0.99 % (3586838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.99 % (3586838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.99 % (3586838)CaDiCaL version: 2.1.3
% 3.83/0.99 % (3586838)Termination reason: Instruction limit
% 3.83/0.99 % (3586838)Termination phase: Saturation
% 3.83/0.99 % (3586838)Time elapsed: 0.025 s
% 3.83/0.99 % (3586838)Peak memory usage: 12 MB
% 3.83/0.99 % (3586838)Instructions burned: 118 (million)
% 3.83/0.99 % (3586841)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3730016639:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 3.83/0.99 % (3586841)Refutation not found, incomplete strategy
% 3.83/0.99 % (3586841)------------------------------
% 3.83/0.99 % (3586841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.99 % (3586841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.99 % (3586841)CaDiCaL version: 2.1.3
% 3.83/0.99 % (3586841)Termination reason: Refutation not found, incomplete strategy
% 3.83/0.99 % (3586841)Time elapsed: 0.001 s
% 3.83/0.99 % (3586841)Peak memory usage: 11 MB
% 3.83/0.99 % (3586841)Instructions burned: 1 (million)
% 3.83/0.99 % (3586841)------------------------------
% 3.83/0.99 % (3586841)------------------------------
% 3.83/0.99 % (3586842)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2150724782:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2994 on theBenchmark for (2994ds/270Mi)
% 3.83/0.99 % (3586844)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=3767266180:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/9840Mi)
% 3.83/0.99 % (3586738)Instruction limit reached!
% 3.83/0.99 % (3586738)------------------------------
% 3.83/0.99 % (3586738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.99 % (3586738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.99 % (3586738)CaDiCaL version: 2.1.3
% 3.83/0.99 % (3586738)Termination reason: Instruction limit
% 3.83/0.99 % (3586738)Termination phase: Saturation
% 3.83/0.99 % (3586738)Time elapsed: 0.448 s
% 3.83/0.99 % (3586738)Peak memory usage: 12 MB
% 3.83/0.99 % (3586738)Instructions burned: 1242 (million)
% 3.83/0.99 % (3586847)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=859574095:i=421:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/421Mi)
% 3.83/0.99 % (3586847)Refutation not found, incomplete strategy
% 3.83/0.99 % (3586847)------------------------------
% 3.83/0.99 % (3586847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.99 % (3586847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.99 % (3586847)CaDiCaL version: 2.1.3
% 3.83/0.99 % (3586847)Termination reason: Refutation not found, incomplete strategy
% 3.83/0.99 % (3586847)Time elapsed: 0.001 s
% 3.83/0.99 % (3586847)Peak memory usage: 11 MB
% 3.83/0.99 % (3586847)------------------------------
% 3.83/0.99 % (3586847)------------------------------
% 3.83/0.99 % (3586825)Instruction limit reached!
% 3.83/0.99 % (3586825)------------------------------
% 3.83/0.99 % (3586825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.99 % (3586825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.04 % (3586825)CaDiCaL version: 2.1.3
% 5.47/1.04 % (3586825)Termination reason: Instruction limit
% 5.47/1.04 % (3586825)Termination phase: Saturation
% 5.47/1.04 % (3586825)Time elapsed: 0.146 s
% 5.47/1.04 % (3586825)Peak memory usage: 14 MB
% 5.47/1.04 % (3586825)Instructions burned: 339 (million)
% 5.47/1.04 % (3586842)Instruction limit reached!
% 5.47/1.04 % (3586842)------------------------------
% 5.47/1.04 % (3586842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.04 % (3586842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.04 % (3586842)CaDiCaL version: 2.1.3
% 5.47/1.04 % (3586842)Termination reason: Instruction limit
% 5.47/1.04 % (3586842)Termination phase: Saturation
% 5.47/1.04 % (3586842)Time elapsed: 0.062 s
% 5.47/1.04 % (3586842)Peak memory usage: 12 MB
% 5.47/1.04 % (3586842)Instructions burned: 270 (million)
% 5.47/1.04 % (3586849)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
% 5.47/1.04 % (3586851)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.47/1.04 % (3586851)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.47/1.04 % (3586851)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=1724573980:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/1440Mi)
% 5.47/1.04 % (3586849)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=1518686156:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.47/1.04 % (3586850)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=38722760:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 5.47/1.04 % (3586832)Instruction limit reached!
% 5.47/1.04 % (3586832)------------------------------
% 5.47/1.04 % (3586832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.04 % (3586832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.04 % (3586832)CaDiCaL version: 2.1.3
% 5.47/1.04 % (3586832)Termination reason: Instruction limit
% 5.47/1.04 % (3586832)Termination phase: Saturation
% 5.47/1.04 % (3586832)Time elapsed: 0.153 s
% 5.47/1.04 % (3586832)Peak memory usage: 13 MB
% 5.47/1.04 % (3586832)Instructions burned: 341 (million)
% 5.47/1.04 % (3586850)Instruction limit reached!
% 5.47/1.04 % (3586850)------------------------------
% 5.47/1.04 % (3586850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.04 % (3586850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.04 % (3586850)CaDiCaL version: 2.1.3
% 5.47/1.04 % (3586850)Termination reason: Instruction limit
% 5.47/1.04 % (3586850)Termination phase: Saturation
% 5.47/1.04 % (3586850)Time elapsed: 0.016 s
% 5.47/1.04 % (3586850)Peak memory usage: 12 MB
% 5.47/1.04 % (3586850)Instructions burned: 32 (million)
% 5.47/1.04 % (3586817)Instruction limit reached!
% 5.47/1.04 % (3586817)------------------------------
% 5.47/1.04 % (3586817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.04 % (3586817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.04 % (3586817)CaDiCaL version: 2.1.3
% 5.47/1.04 % (3586817)Termination reason: Instruction limit
% 5.47/1.04 % (3586817)Termination phase: Saturation
% 5.47/1.04 % (3586817)Time elapsed: 0.222 s
% 5.47/1.04 % (3586817)Peak memory usage: 13 MB
% 5.47/1.04 % (3586817)Instructions burned: 495 (million)
% 5.47/1.04 % (3586855)dis+10_2_sil=128000:si=on:random_seed=472838400:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2993 on theBenchmark for (2993ds/339Mi)
% 5.47/1.04 % (3586855)Refutation not found, incomplete strategy
% 5.47/1.04 % (3586855)------------------------------
% 5.47/1.04 % (3586855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.04 % (3586855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.04 % (3586855)CaDiCaL version: 2.1.3
% 5.47/1.04 % (3586855)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.04 % (3586855)Time elapsed: 0.0000 s
% 6.06/1.14 % (3586855)Peak memory usage: 11 MB
% 6.06/1.14 % (3586855)------------------------------
% 6.06/1.14 % (3586855)------------------------------
% 6.06/1.14 % (3586856)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2634800868:i=111:add=on:fgj=on:rtra=on:fdi=1024_2993 on theBenchmark for (2993ds/111Mi)
% 6.06/1.14 % (3586857)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=4019527476:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/122Mi)
% 6.06/1.14 % (3586857)Refutation not found, incomplete strategy
% 6.06/1.14 % (3586857)------------------------------
% 6.06/1.14 % (3586857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/1.14 % (3586857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.14 % (3586857)CaDiCaL version: 2.1.3
% 6.06/1.14 % (3586857)Termination reason: Refutation not found, incomplete strategy
% 6.06/1.14 % (3586857)Time elapsed: 0.001 s
% 6.06/1.14 % (3586857)Peak memory usage: 11 MB
% 6.06/1.14 % (3586857)------------------------------
% 6.06/1.14 % (3586857)------------------------------
% 6.06/1.14 % (3586859)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=1161906255:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/136Mi)
% 6.06/1.14 % (3586859)Refutation not found, incomplete strategy
% 6.06/1.14 % (3586859)------------------------------
% 6.06/1.14 % (3586859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/1.14 % (3586859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.14 % (3586859)CaDiCaL version: 2.1.3
% 6.06/1.14 % (3586859)Termination reason: Refutation not found, incomplete strategy
% 6.06/1.14 % (3586859)Time elapsed: 0.001 s
% 6.06/1.14 % (3586859)Peak memory usage: 11 MB
% 6.06/1.14 % (3586859)Instructions burned: 1 (million)
% 6.06/1.14 % (3586859)------------------------------
% 6.06/1.14 % (3586859)------------------------------
% 6.06/1.14 % (3586862)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1139815355:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/232Mi)
% 6.06/1.14 % (3586837)Instruction limit reached!
% 6.06/1.14 % (3586837)------------------------------
% 6.06/1.14 % (3586837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/1.14 % (3586837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.14 % (3586837)CaDiCaL version: 2.1.3
% 6.06/1.14 % (3586837)Termination reason: Instruction limit
% 6.06/1.14 % (3586837)Termination phase: Saturation
% 6.06/1.14 % (3586837)Time elapsed: 0.178 s
% 6.06/1.14 % (3586837)Peak memory usage: 12 MB
% 6.06/1.14 % (3586837)Instructions burned: 374 (million)
% 6.06/1.14 % (3586862)Refutation not found, incomplete strategy
% 6.06/1.14 % (3586862)------------------------------
% 6.06/1.14 % (3586862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/1.14 % (3586862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.14 % (3586862)CaDiCaL version: 2.1.3
% 6.06/1.14 % (3586862)Termination reason: Refutation not found, incomplete strategy
% 6.06/1.14 % (3586862)Time elapsed: 0.001 s
% 6.06/1.14 % (3586862)Peak memory usage: 11 MB
% 6.06/1.14 % (3586862)------------------------------
% 6.06/1.14 % (3586862)------------------------------
% 6.06/1.14 % (3586864)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=3210222040:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/1254Mi)
% 6.06/1.14 % (3586866)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.06/1.14 % (3586864)Refutation not found, incomplete strategy
% 6.06/1.14 % (3586864)------------------------------
% 6.06/1.14 % (3586864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/1.14 % (3586864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/1.14 % (3586864)CaDiCaL version: 2.1.3
% 6.06/1.14 % (3586864)Termination reason: Refutation not found, incomplete strategy
% 6.06/1.14 % (3586864)Time elapsed: 0.002 s
% 6.06/1.14 % (3586864)Peak memory usage: 11 MB
% 6.06/1.14 % (3586864)Instructions burned: 3 (million)
% 6.49/1.22 % (3586864)------------------------------
% 6.49/1.22 % (3586864)------------------------------
% 6.49/1.22 % (3586866)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=863180974:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2992 on theBenchmark for (2992ds/281Mi)
% 6.49/1.22 % (3586867)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1562342683:i=619:add=on:rtra=on_2992 on theBenchmark for (2992ds/619Mi)
% 6.49/1.22 % (3586867)Refutation not found, incomplete strategy
% 6.49/1.22 % (3586867)------------------------------
% 6.49/1.22 % (3586867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.22 % (3586867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.22 % (3586867)CaDiCaL version: 2.1.3
% 6.49/1.22 % (3586867)Termination reason: Refutation not found, incomplete strategy
% 6.49/1.22 % (3586867)Time elapsed: 0.002 s
% 6.49/1.22 % (3586867)Peak memory usage: 12 MB
% 6.49/1.22 % (3586867)Instructions burned: 2 (million)
% 6.49/1.22 % (3586867)------------------------------
% 6.49/1.22 % (3586867)------------------------------
% 6.49/1.22 % (3586856)Instruction limit reached!
% 6.49/1.22 % (3586856)------------------------------
% 6.49/1.22 % (3586856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.22 % (3586856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.22 % (3586856)CaDiCaL version: 2.1.3
% 6.49/1.22 % (3586856)Termination reason: Instruction limit
% 6.49/1.22 % (3586856)Termination phase: Saturation
% 6.49/1.22 % (3586856)Time elapsed: 0.051 s
% 6.49/1.22 % (3586856)Peak memory usage: 12 MB
% 6.49/1.22 % (3586856)Instructions burned: 111 (million)
% 6.49/1.22 % (3586869)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=952344221:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/865Mi)
% 6.49/1.22 % (3586872)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2848834602:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/212Mi)
% 6.49/1.22 % (3586849)Instruction limit reached!
% 6.49/1.22 % (3586849)------------------------------
% 6.49/1.22 % (3586849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.22 % (3586849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.22 % (3586849)CaDiCaL version: 2.1.3
% 6.49/1.22 % (3586849)Termination reason: Instruction limit
% 6.49/1.22 % (3586849)Termination phase: Saturation
% 6.49/1.22 % (3586849)Time elapsed: 0.109 s
% 6.49/1.22 % (3586849)Peak memory usage: 12 MB
% 6.49/1.22 % (3586849)Instructions burned: 271 (million)
% 6.49/1.22 % (3586872)Refutation not found, incomplete strategy
% 6.49/1.22 % (3586872)------------------------------
% 6.49/1.22 % (3586872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.22 % (3586872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.22 % (3586872)CaDiCaL version: 2.1.3
% 6.49/1.22 % (3586872)Termination reason: Refutation not found, incomplete strategy
% 6.49/1.22 % (3586872)Time elapsed: 0.001 s
% 6.49/1.22 % (3586872)Peak memory usage: 11 MB
% 6.49/1.22 % (3586872)------------------------------
% 6.49/1.22 % (3586872)------------------------------
% 6.49/1.22 % (3586873)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3746578518:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.49/1.22 % (3586873)Refutation not found, incomplete strategy
% 6.49/1.22 % (3586873)------------------------------
% 6.49/1.22 % (3586873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.49/1.22 % (3586873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.22 % (3586873)CaDiCaL version: 2.1.3
% 6.49/1.22 % (3586873)Termination reason: Refutation not found, incomplete strategy
% 6.49/1.22 % (3586873)Time elapsed: 0.0000 s
% 6.49/1.22 % (3586873)Peak memory usage: 11 MB
% 6.49/1.22 % (3586873)------------------------------
% 6.49/1.22 % (3586873)------------------------------
% 6.49/1.22 % (3586876)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4266497676:st=1.5:i=346:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/346Mi)
% 6.49/1.22 % (3586876)Refutation not found, incomplete strategy
% 6.49/1.22 % (3586876)------------------------------
% 6.49/1.22 % (3586876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.40 % (3586876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.40 % (3586876)CaDiCaL version: 2.1.3
% 6.99/1.40 % (3586876)Termination reason: Refutation not found, incomplete strategy
% 6.99/1.40 % (3586876)Time elapsed: 0.001 s
% 6.99/1.40 % (3586876)Peak memory usage: 11 MB
% 6.99/1.40 % (3586876)Instructions burned: 1 (million)
% 6.99/1.40 % (3586877)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=320106801:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/152Mi)
% 6.99/1.40 % (3586876)------------------------------
% 6.99/1.40 % (3586876)------------------------------
% 6.99/1.40 % (3586879)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2845861202:i=75:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/75Mi)
% 6.99/1.40 % (3586882)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=786976516:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/387Mi)
% 6.99/1.40 % (3586882)Refutation not found, incomplete strategy
% 6.99/1.40 % (3586882)------------------------------
% 6.99/1.40 % (3586882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.40 % (3586882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.40 % (3586882)CaDiCaL version: 2.1.3
% 6.99/1.40 % (3586882)Termination reason: Refutation not found, incomplete strategy
% 6.99/1.40 % (3586882)Time elapsed: 0.001 s
% 6.99/1.40 % (3586882)Peak memory usage: 11 MB
% 6.99/1.40 % (3586882)Instructions burned: 1 (million)
% 6.99/1.40 % (3586882)------------------------------
% 6.99/1.40 % (3586882)------------------------------
% 6.99/1.40 % (3586879)Instruction limit reached!
% 6.99/1.40 % (3586879)------------------------------
% 6.99/1.40 % (3586879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.40 % (3586879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.40 % (3586879)CaDiCaL version: 2.1.3
% 6.99/1.40 % (3586879)Termination reason: Instruction limit
% 6.99/1.40 % (3586879)Termination phase: Saturation
% 6.99/1.40 % (3586879)Time elapsed: 0.036 s
% 6.99/1.40 % (3586879)Peak memory usage: 12 MB
% 6.99/1.40 % (3586879)Instructions burned: 77 (million)
% 6.99/1.40 % (3586885)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=3410174607:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2991 on theBenchmark for (2991ds/148Mi)
% 6.99/1.40 % (3586886)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2391065219:i=161:piset=and:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/161Mi)
% 6.99/1.40 % (3586877)Instruction limit reached!
% 6.99/1.40 % (3586877)------------------------------
% 6.99/1.40 % (3586877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.40 % (3586877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.40 % (3586877)CaDiCaL version: 2.1.3
% 6.99/1.40 % (3586877)Termination reason: Instruction limit
% 6.99/1.40 % (3586877)Termination phase: Saturation
% 6.99/1.40 % (3586877)Time elapsed: 0.074 s
% 6.99/1.40 % (3586877)Peak memory usage: 12 MB
% 6.99/1.40 % (3586877)Instructions burned: 154 (million)
% 6.99/1.40 % (3586889)lrs+10_1_sil=128000:si=on:random_seed=2251644327:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/888Mi)
% 6.99/1.40 % (3586889)Refutation not found, incomplete strategy
% 6.99/1.40 % (3586889)------------------------------
% 6.99/1.40 % (3586889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.40 % (3586889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.40 % (3586889)CaDiCaL version: 2.1.3
% 6.99/1.40 % (3586889)Termination reason: Refutation not found, incomplete strategy
% 6.99/1.40 % (3586889)Time elapsed: 0.001 s
% 6.99/1.40 % (3586889)Peak memory usage: 11 MB
% 6.99/1.40 % (3586889)------------------------------
% 6.99/1.40 % (3586889)------------------------------
% 6.99/1.40 % (3586885)Instruction limit reached!
% 6.99/1.40 % (3586885)------------------------------
% 6.99/1.40 % (3586885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.99/1.40 % (3586885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.40 % (3586885)CaDiCaL version: 2.1.3
% 6.99/1.40 % (3586885)Termination reason: Instruction limit
% 7.87/1.50 % (3586885)Termination phase: Saturation
% 7.87/1.50 % (3586885)Time elapsed: 0.064 s
% 7.87/1.50 % (3586885)Peak memory usage: 12 MB
% 7.87/1.50 % (3586885)Instructions burned: 150 (million)
% 7.87/1.50 % (3586866)Instruction limit reached!
% 7.87/1.50 % (3586866)------------------------------
% 7.87/1.50 % (3586866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.87/1.50 % (3586866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/1.50 % (3586866)CaDiCaL version: 2.1.3
% 7.87/1.50 % (3586866)Termination reason: Instruction limit
% 7.87/1.50 % (3586866)Termination phase: Saturation
% 7.87/1.50 % (3586866)Time elapsed: 0.153 s
% 7.87/1.50 % (3586866)Peak memory usage: 13 MB
% 7.87/1.50 % (3586866)Instructions burned: 281 (million)
% 7.87/1.50 % (3586891)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=2976104660:i=136:add=on:ins=4:rtra=on:sup=off_2991 on theBenchmark for (2991ds/136Mi)
% 7.87/1.50 % (3586886)Instruction limit reached!
% 7.87/1.50 % (3586886)------------------------------
% 7.87/1.50 % (3586886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.87/1.50 % (3586886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/1.50 % (3586886)CaDiCaL version: 2.1.3
% 7.87/1.50 % (3586886)Termination reason: Instruction limit
% 7.87/1.50 % (3586886)Termination phase: Saturation
% 7.87/1.50 % (3586886)Time elapsed: 0.064 s
% 7.87/1.50 % (3586886)Peak memory usage: 12 MB
% 7.87/1.50 % (3586886)Instructions burned: 161 (million)
% 7.87/1.50 % (3586892)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=3355932213:i=88:s2at=3:nm=2:rtra=on:rawr=on_2991 on theBenchmark for (2991ds/88Mi)
% 7.87/1.50 % (3586893)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3982226054:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2991 on theBenchmark for (2991ds/93Mi)
% 7.87/1.50 % (3586851)Instruction limit reached!
% 7.87/1.50 % (3586851)------------------------------
% 7.87/1.50 % (3586851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.87/1.50 % (3586851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/1.50 % (3586851)CaDiCaL version: 2.1.3
% 7.87/1.50 % (3586851)Termination reason: Instruction limit
% 7.87/1.50 % (3586851)Termination phase: Saturation
% 7.87/1.50 % (3586851)Time elapsed: 0.266 s
% 7.87/1.50 % (3586851)Peak memory usage: 13 MB
% 7.87/1.50 % (3586851)Instructions burned: 1446 (million)
% 7.87/1.50 % (3586895)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2811870579:i=2186:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/2186Mi)
% 7.87/1.50 % (3586898)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=855121432:s2a=on:i=240:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/240Mi)
% 7.87/1.50 % (3586892)Instruction limit reached!
% 7.87/1.50 % (3586892)------------------------------
% 7.87/1.50 % (3586892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.87/1.50 % (3586892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/1.50 % (3586892)CaDiCaL version: 2.1.3
% 7.87/1.50 % (3586892)Termination reason: Instruction limit
% 7.87/1.50 % (3586892)Termination phase: Saturation
% 7.87/1.50 % (3586892)Time elapsed: 0.040 s
% 7.87/1.50 % (3586892)Peak memory usage: 13 MB
% 7.87/1.50 % (3586892)Instructions burned: 90 (million)
% 7.87/1.50 % (3586893)Instruction limit reached!
% 7.87/1.50 % (3586893)------------------------------
% 7.87/1.50 % (3586893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.87/1.50 % (3586893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/1.50 % (3586893)CaDiCaL version: 2.1.3
% 7.87/1.50 % (3586893)Termination reason: Instruction limit
% 7.87/1.50 % (3586893)Termination phase: Saturation
% 7.87/1.50 % (3586893)Time elapsed: 0.046 s
% 7.87/1.50 % (3586893)Peak memory usage: 12 MB
% 7.87/1.50 % (3586893)Instructions burned: 95 (million)
% 7.87/1.50 % (3586891)Instruction limit reached!
% 7.87/1.50 % (3586891)------------------------------
% 7.87/1.50 % (3586891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.87/1.50 % (3586891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/1.50 % (3586891)CaDiCaL version: 2.1.3
% 7.87/1.50 % (3586891)Termination reason: Instruction limit
% 7.87/1.59 % (3586891)Termination phase: Saturation
% 7.87/1.59 % (3586891)Time elapsed: 0.065 s
% 7.87/1.59 % (3586891)Peak memory usage: 12 MB
% 7.87/1.59 % (3586891)Instructions burned: 136 (million)
% 7.87/1.59 % (3586901)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3981753528:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/805Mi)
% 7.87/1.59 % (3586902)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 7.87/1.59 % (3586902)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=806145:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2990 on theBenchmark for (2990ds/391Mi)
% 7.87/1.59 % (3586902)Refutation not found, incomplete strategy
% 7.87/1.59 % (3586902)------------------------------
% 7.87/1.59 % (3586902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.87/1.59 % (3586902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/1.59 % (3586902)CaDiCaL version: 2.1.3
% 7.87/1.59 % (3586902)Termination reason: Refutation not found, incomplete strategy
% 7.87/1.59 % (3586902)Time elapsed: 0.001 s
% 7.87/1.59 % (3586902)Peak memory usage: 11 MB
% 7.87/1.59 % (3586902)Instructions burned: 1 (million)
% 7.87/1.59 % (3586902)------------------------------
% 7.87/1.59 % (3586902)------------------------------
% 7.87/1.59 % (3586898)Instruction limit reached!
% 7.87/1.59 % (3586898)------------------------------
% 7.87/1.59 % (3586898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.87/1.59 % (3586898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/1.59 % (3586898)CaDiCaL version: 2.1.3
% 7.87/1.59 % (3586898)Termination reason: Instruction limit
% 7.87/1.59 % (3586898)Termination phase: Saturation
% 7.87/1.59 % (3586898)Time elapsed: 0.048 s
% 7.87/1.59 % (3586898)Peak memory usage: 12 MB
% 7.87/1.59 % (3586898)Instructions burned: 241 (million)
% 7.87/1.59 % (3586903)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2934565484:i=355:av=off:fsr=off:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/355Mi)
% 7.87/1.59 % (3586907)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2995226006:s2a=on:i=251:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/251Mi)
% 7.87/1.59 % (3586906)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3521664939:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/314Mi)
% 7.87/1.59 % (3586906)Refutation not found, incomplete strategy
% 7.87/1.59 % (3586906)------------------------------
% 7.87/1.59 % (3586906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.87/1.59 % (3586906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/1.59 % (3586906)CaDiCaL version: 2.1.3
% 7.87/1.59 % (3586906)Termination reason: Refutation not found, incomplete strategy
% 7.87/1.59 % (3586906)Time elapsed: 0.0000 s
% 7.87/1.59 % (3586906)Peak memory usage: 11 MB
% 7.87/1.59 % (3586906)------------------------------
% 7.87/1.59 % (3586906)------------------------------
% 7.87/1.59 % (3586911)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=380339535:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2989 on theBenchmark for (2989ds/2470Mi)
% 7.87/1.59 % (3586907)Instruction limit reached!
% 7.87/1.59 % (3586907)------------------------------
% 7.87/1.59 % (3586907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.87/1.59 % (3586907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/1.59 % (3586907)CaDiCaL version: 2.1.3
% 7.87/1.59 % (3586907)Termination reason: Instruction limit
% 7.87/1.59 % (3586907)Termination phase: Saturation
% 7.87/1.59 % (3586907)Time elapsed: 0.059 s
% 7.87/1.59 % (3586907)Peak memory usage: 12 MB
% 7.87/1.59 % (3586907)Instructions burned: 252 (million)
% 7.87/1.59 % (3586913)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3082645792:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2989 on theBenchmark for (2989ds/673Mi)
% 7.87/1.59 % (3586903)Instruction limit reached!
% 7.87/1.59 % (3586903)------------------------------
% 8.69/1.69 % (3586903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.69 % (3586903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.69 % (3586903)CaDiCaL version: 2.1.3
% 8.69/1.69 % (3586903)Termination reason: Instruction limit
% 8.69/1.69 % (3586903)Termination phase: Saturation
% 8.69/1.69 % (3586903)Time elapsed: 0.161 s
% 8.69/1.69 % (3586903)Peak memory usage: 12 MB
% 8.69/1.69 % (3586903)Instructions burned: 357 (million)
% 8.69/1.69 % (3586915)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1882567758:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 8.69/1.69 % (3586869)Instruction limit reached!
% 8.69/1.69 % (3586869)------------------------------
% 8.69/1.69 % (3586869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.69 % (3586869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.69 % (3586869)CaDiCaL version: 2.1.3
% 8.69/1.69 % (3586869)Termination reason: Instruction limit
% 8.69/1.69 % (3586869)Termination phase: Saturation
% 8.69/1.69 % (3586869)Time elapsed: 0.436 s
% 8.69/1.69 % (3586869)Peak memory usage: 15 MB
% 8.69/1.69 % (3586869)Instructions burned: 865 (million)
% 8.69/1.69 % (3586913)Instruction limit reached!
% 8.69/1.69 % (3586913)------------------------------
% 8.69/1.69 % (3586913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.69 % (3586913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.69 % (3586913)CaDiCaL version: 2.1.3
% 8.69/1.69 % (3586913)Termination reason: Instruction limit
% 8.69/1.69 % (3586913)Termination phase: Saturation
% 8.69/1.69 % (3586913)Time elapsed: 0.144 s
% 8.69/1.69 % (3586913)Peak memory usage: 12 MB
% 8.69/1.69 % (3586913)Instructions burned: 676 (million)
% 8.69/1.69 % (3586915)Instruction limit reached!
% 8.69/1.69 % (3586915)------------------------------
% 8.69/1.69 % (3586915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.69 % (3586915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.69 % (3586915)CaDiCaL version: 2.1.3
% 8.69/1.69 % (3586915)Termination reason: Instruction limit
% 8.69/1.69 % (3586915)Termination phase: Saturation
% 8.69/1.69 % (3586915)Time elapsed: 0.047 s
% 8.69/1.69 % (3586915)Peak memory usage: 12 MB
% 8.69/1.69 % (3586915)Instructions burned: 117 (million)
% 8.69/1.69 % (3586917)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=876526240: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)
% 8.69/1.69 % (3586918)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=258184478:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2987 on theBenchmark for (2987ds/30Mi)
% 8.69/1.69 % (3586918)Instruction limit reached!
% 8.69/1.69 % (3586918)------------------------------
% 8.69/1.69 % (3586918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.69 % (3586918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.69 % (3586918)CaDiCaL version: 2.1.3
% 8.69/1.69 % (3586918)Termination reason: Instruction limit
% 8.69/1.69 % (3586918)Termination phase: Saturation
% 8.69/1.69 % (3586918)Time elapsed: 0.007 s
% 8.69/1.69 % (3586918)Peak memory usage: 12 MB
% 8.69/1.69 % (3586918)Instructions burned: 30 (million)
% 8.69/1.69 % (3586920)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 8.69/1.69 % (3586920)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3441652083:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2987 on theBenchmark for (2987ds/39Mi)
% 8.69/1.69 % (3586922)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3219832550:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/365Mi)
% 8.69/1.69 % (3586920)Instruction limit reached!
% 8.69/1.69 % (3586920)------------------------------
% 8.69/1.69 % (3586920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.69 % (3586920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.69 % (3586920)CaDiCaL version: 2.1.3
% 8.69/1.69 % (3586920)Termination reason: Instruction limit
% 9.35/1.84 % (3586920)Termination phase: Saturation
% 9.35/1.84 % (3586920)Time elapsed: 0.020 s
% 9.35/1.84 % (3586920)Peak memory usage: 12 MB
% 9.35/1.84 % (3586920)Instructions burned: 39 (million)
% 9.35/1.84 % (3586925)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=658244942:i=158:av=off:rtra=on_2987 on theBenchmark for (2987ds/158Mi)
% 9.35/1.84 % (3586901)Instruction limit reached!
% 9.35/1.84 % (3586901)------------------------------
% 9.35/1.84 % (3586901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.84 % (3586901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/1.84 % (3586901)CaDiCaL version: 2.1.3
% 9.35/1.84 % (3586901)Termination reason: Instruction limit
% 9.35/1.84 % (3586901)Termination phase: Saturation
% 9.35/1.84 % (3586901)Time elapsed: 0.325 s
% 9.35/1.84 % (3586901)Peak memory usage: 13 MB
% 9.35/1.84 % (3586901)Instructions burned: 807 (million)
% 9.35/1.84 % (3586922)Instruction limit reached!
% 9.35/1.84 % (3586922)------------------------------
% 9.35/1.84 % (3586922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.84 % (3586922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/1.84 % (3586922)CaDiCaL version: 2.1.3
% 9.35/1.84 % (3586922)Termination reason: Instruction limit
% 9.35/1.84 % (3586922)Termination phase: Saturation
% 9.35/1.84 % (3586922)Time elapsed: 0.074 s
% 9.35/1.84 % (3586922)Peak memory usage: 13 MB
% 9.35/1.84 % (3586922)Instructions burned: 367 (million)
% 9.35/1.84 % (3586927)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 9.35/1.84 % (3586927)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=1737135620:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/252Mi)
% 9.35/1.84 % (3586928)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=208790668:i=213:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/213Mi)
% 9.35/1.84 % (3586928)Refutation not found, incomplete strategy
% 9.35/1.84 % (3586928)------------------------------
% 9.35/1.84 % (3586928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.84 % (3586928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/1.84 % (3586928)CaDiCaL version: 2.1.3
% 9.35/1.84 % (3586928)Termination reason: Refutation not found, incomplete strategy
% 9.35/1.84 % (3586928)Time elapsed: 0.0000 s
% 9.35/1.84 % (3586928)Peak memory usage: 11 MB
% 9.35/1.84 % (3586928)------------------------------
% 9.35/1.84 % (3586928)------------------------------
% 9.35/1.84 % (3586917)Instruction limit reached!
% 9.35/1.84 % (3586917)------------------------------
% 9.35/1.84 % (3586917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.84 % (3586917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/1.84 % (3586917)CaDiCaL version: 2.1.3
% 9.35/1.84 % (3586917)Termination reason: Instruction limit
% 9.35/1.84 % (3586917)Termination phase: Saturation
% 9.35/1.84 % (3586917)Time elapsed: 0.117 s
% 9.35/1.84 % (3586917)Peak memory usage: 12 MB
% 9.35/1.84 % (3586917)Instructions burned: 270 (million)
% 9.35/1.84 % (3586931)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=786037287:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2986 on theBenchmark for (2986ds/160Mi)
% 9.35/1.84 % (3586931)Refutation not found, incomplete strategy
% 9.35/1.84 % (3586931)------------------------------
% 9.35/1.84 % (3586931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.84 % (3586931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/1.84 % (3586931)CaDiCaL version: 2.1.3
% 9.35/1.84 % (3586931)Termination reason: Refutation not found, incomplete strategy
% 9.35/1.84 % (3586931)Time elapsed: 0.0000 s
% 9.35/1.84 % (3586931)Peak memory usage: 11 MB
% 9.35/1.84 % (3586931)Instructions burned: 1 (million)
% 9.35/1.84 % (3586931)------------------------------
% 9.35/1.84 % (3586931)------------------------------
% 9.35/1.84 % (3586925)Instruction limit reached!
% 9.35/1.84 % (3586925)------------------------------
% 9.35/1.84 % (3586925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.84 % (3586925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/1.89 % (3586925)CaDiCaL version: 2.1.3
% 9.35/1.89 % (3586925)Termination reason: Instruction limit
% 9.35/1.89 % (3586925)Termination phase: Saturation
% 9.35/1.89 % (3586925)Time elapsed: 0.064 s
% 9.35/1.89 % (3586925)Peak memory usage: 12 MB
% 9.35/1.89 % (3586925)Instructions burned: 160 (million)
% 9.35/1.89 % (3586934)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 9.35/1.89 % (3586934)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=2648669474:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2986 on theBenchmark for (2986ds/237Mi)
% 9.35/1.89 % (3586934)Refutation not found, incomplete strategy
% 9.35/1.89 % (3586934)------------------------------
% 9.35/1.89 % (3586934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.89 % (3586934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/1.89 % (3586934)CaDiCaL version: 2.1.3
% 9.35/1.89 % (3586934)Termination reason: Refutation not found, incomplete strategy
% 9.35/1.89 % (3586934)Time elapsed: 0.0000 s
% 9.35/1.89 % (3586934)Peak memory usage: 11 MB
% 9.35/1.89 % (3586934)------------------------------
% 9.35/1.89 % (3586934)------------------------------
% 9.35/1.89 % (3586933)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=3542435582:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/763Mi)
% 9.35/1.89 % (3586935)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2722981874:s2a=on:i=386:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/386Mi)
% 9.35/1.89 % (3586937)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1099556979:i=300:piset=and:nm=32:rtra=on_2986 on theBenchmark for (2986ds/300Mi)
% 9.35/1.89 % (3586927)Instruction limit reached!
% 9.35/1.89 % (3586927)------------------------------
% 9.35/1.89 % (3586927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.89 % (3586927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/1.89 % (3586927)CaDiCaL version: 2.1.3
% 9.35/1.89 % (3586927)Termination reason: Instruction limit
% 9.35/1.89 % (3586927)Termination phase: Saturation
% 9.35/1.89 % (3586927)Time elapsed: 0.103 s
% 9.35/1.89 % (3586927)Peak memory usage: 12 MB
% 9.35/1.89 % (3586927)Instructions burned: 254 (million)
% 9.35/1.89 % (3586937)Instruction limit reached!
% 9.35/1.89 % (3586937)------------------------------
% 9.35/1.89 % (3586937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.89 % (3586937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/1.89 % (3586937)CaDiCaL version: 2.1.3
% 9.35/1.89 % (3586937)Termination reason: Instruction limit
% 9.35/1.89 % (3586937)Termination phase: Saturation
% 9.35/1.89 % (3586937)Time elapsed: 0.070 s
% 9.35/1.89 % (3586937)Peak memory usage: 12 MB
% 9.35/1.89 % (3586937)Instructions burned: 305 (million)
% 9.35/1.89 % (3586942)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3681686492:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2985 on theBenchmark for (2985ds/379Mi)
% 9.35/1.89 % (3586942)Refutation not found, incomplete strategy
% 9.35/1.89 % (3586942)------------------------------
% 9.35/1.89 % (3586942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.89 % (3586942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/1.89 % (3586942)CaDiCaL version: 2.1.3
% 9.35/1.89 % (3586942)Termination reason: Refutation not found, incomplete strategy
% 9.35/1.89 % (3586942)Time elapsed: 0.0000 s
% 9.35/1.89 % (3586942)Peak memory usage: 11 MB
% 9.35/1.89 % (3586942)------------------------------
% 9.35/1.89 % (3586942)------------------------------
% 9.35/1.89 % (3586941)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2091599076:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/567Mi)
% 9.35/1.89 % (3586941)Refutation not found, incomplete strategy
% 9.35/1.89 % (3586941)------------------------------
% 9.35/1.89 % (3586941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.35/1.89 % (3586941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/1.89 % (3586941)CaDiCaL version: 2.1.3
% 9.35/1.89 % (3586941)Termination reason: Refutation not found, incomplete strategy
% 10.04/2.02 % (3586941)Time elapsed: 0.001 s
% 10.04/2.02 % (3586941)Peak memory usage: 11 MB
% 10.04/2.02 % (3586941)Instructions burned: 1 (million)
% 10.04/2.02 % (3586941)------------------------------
% 10.04/2.02 % (3586941)------------------------------
% 10.04/2.02 % (3586944)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3195057990:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2985 on theBenchmark for (2985ds/429Mi)
% 10.04/2.02 % (3586946)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1575466007:i=478:bd=all:rtra=on_2985 on theBenchmark for (2985ds/478Mi)
% 10.04/2.02 % (3586946)Refutation not found, incomplete strategy
% 10.04/2.02 % (3586946)------------------------------
% 10.04/2.02 % (3586946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.04/2.02 % (3586946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.02 % (3586946)CaDiCaL version: 2.1.3
% 10.04/2.02 % (3586946)Termination reason: Refutation not found, incomplete strategy
% 10.04/2.02 % (3586946)Time elapsed: 0.001 s
% 10.04/2.02 % (3586946)Peak memory usage: 12 MB
% 10.04/2.02 % (3586946)Instructions burned: 1 (million)
% 10.04/2.02 % (3586946)------------------------------
% 10.04/2.02 % (3586946)------------------------------
% 10.04/2.02 % (3586949)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1465065725:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2985 on theBenchmark for (2985ds/445Mi)
% 10.04/2.02 % (3586935)Instruction limit reached!
% 10.04/2.02 % (3586935)------------------------------
% 10.04/2.02 % (3586935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.04/2.02 % (3586935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.02 % (3586935)CaDiCaL version: 2.1.3
% 10.04/2.02 % (3586935)Termination reason: Instruction limit
% 10.04/2.02 % (3586935)Termination phase: Saturation
% 10.04/2.02 % (3586935)Time elapsed: 0.173 s
% 10.04/2.02 % (3586935)Peak memory usage: 12 MB
% 10.04/2.02 % (3586935)Instructions burned: 388 (million)
% 10.04/2.02 % (3586951)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3505323192:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/71Mi)
% 10.04/2.02 % (3586944)Instruction limit reached!
% 10.04/2.02 % (3586944)------------------------------
% 10.04/2.02 % (3586944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.04/2.02 % (3586944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.02 % (3586944)CaDiCaL version: 2.1.3
% 10.04/2.02 % (3586944)Termination reason: Instruction limit
% 10.04/2.02 % (3586944)Termination phase: Saturation
% 10.04/2.02 % (3586944)Time elapsed: 0.104 s
% 10.04/2.02 % (3586944)Peak memory usage: 12 MB
% 10.04/2.02 % (3586944)Instructions burned: 429 (million)
% 10.04/2.02 % (3586953)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1262886207:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/302Mi)
% 10.04/2.02 % (3586953)Refutation not found, incomplete strategy
% 10.04/2.02 % (3586953)------------------------------
% 10.04/2.02 % (3586953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.04/2.02 % (3586953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.02 % (3586953)CaDiCaL version: 2.1.3
% 10.04/2.02 % (3586953)Termination reason: Refutation not found, incomplete strategy
% 10.04/2.02 % (3586953)Time elapsed: 0.0000 s
% 10.04/2.02 % (3586953)Peak memory usage: 11 MB
% 10.04/2.02 % (3586953)------------------------------
% 10.04/2.02 % (3586953)------------------------------
% 10.04/2.02 % (3586955)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=2680872097:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2984 on theBenchmark for (2984ds/4980Mi)
% 10.04/2.02 % (3586955)Refutation not found, incomplete strategy
% 10.04/2.02 % (3586955)------------------------------
% 10.04/2.02 % (3586955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.04/2.02 % (3586955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.02 % (3586955)CaDiCaL version: 2.1.3
% 10.04/2.02 % (3586955)Termination reason: Refutation not found, incomplete strategy
% 10.04/2.02 % (3586955)Time elapsed: 0.0000 s
% 10.04/2.02 % (3586955)Peak memory usage: 11 MB
% 10.04/2.02 % (3586955)------------------------------
% 10.04/2.02 % (3586955)------------------------------
% 10.04/2.02 % (3586951)Instruction limit reached!
% 12.58/2.10 % (3586951)------------------------------
% 12.58/2.10 % (3586951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.10 % (3586951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.10 % (3586951)CaDiCaL version: 2.1.3
% 12.58/2.10 % (3586951)Termination reason: Instruction limit
% 12.58/2.10 % (3586951)Termination phase: Saturation
% 12.58/2.10 % (3586951)Time elapsed: 0.038 s
% 12.58/2.10 % (3586951)Peak memory usage: 12 MB
% 12.58/2.10 % (3586951)Instructions burned: 72 (million)
% 12.58/2.10 % (3586957)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
% 12.58/2.10 % (3586957)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 12.58/2.10 % (3586957)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1752416270:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2984 on theBenchmark for (2984ds/100Mi)
% 12.58/2.10 % (3586958)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=2951825890:i=76:piset=equals:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/76Mi)
% 12.58/2.10 % (3586957)Instruction limit reached!
% 12.58/2.10 % (3586957)------------------------------
% 12.58/2.10 % (3586957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.10 % (3586957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.10 % (3586957)CaDiCaL version: 2.1.3
% 12.58/2.10 % (3586957)Termination reason: Instruction limit
% 12.58/2.10 % (3586957)Termination phase: Saturation
% 12.58/2.10 % (3586957)Time elapsed: 0.025 s
% 12.58/2.10 % (3586957)Peak memory usage: 12 MB
% 12.58/2.10 % (3586957)Instructions burned: 103 (million)
% 12.58/2.10 % (3586933)Instruction limit reached!
% 12.58/2.10 % (3586933)------------------------------
% 12.58/2.10 % (3586933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.10 % (3586933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.10 % (3586933)CaDiCaL version: 2.1.3
% 12.58/2.10 % (3586933)Termination reason: Instruction limit
% 12.58/2.10 % (3586933)Termination phase: Saturation
% 12.58/2.10 % (3586933)Time elapsed: 0.269 s
% 12.58/2.10 % (3586933)Peak memory usage: 14 MB
% 12.58/2.10 % (3586933)Instructions burned: 763 (million)
% 12.58/2.10 % (3586961)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=1013159376:i=289:rtra=on_2983 on theBenchmark for (2983ds/289Mi)
% 12.58/2.10 % (3586961)Refutation not found, incomplete strategy
% 12.58/2.10 % (3586961)------------------------------
% 12.58/2.10 % (3586961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.10 % (3586961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.10 % (3586961)CaDiCaL version: 2.1.3
% 12.58/2.10 % (3586961)Termination reason: Refutation not found, incomplete strategy
% 12.58/2.10 % (3586961)Time elapsed: 0.0000 s
% 12.58/2.10 % (3586961)Peak memory usage: 11 MB
% 12.58/2.10 % (3586961)Instructions burned: 1 (million)
% 12.58/2.10 % (3586961)------------------------------
% 12.58/2.10 % (3586961)------------------------------
% 12.58/2.10 % (3586964)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=3918399837:cond=on:i=34:hud=10:nm=10:rtra=on_2983 on theBenchmark for (2983ds/34Mi)
% 12.58/2.10 % (3586962)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=3517554496:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2983 on theBenchmark for (2983ds/493Mi)
% 12.58/2.10 % (3586958)Instruction limit reached!
% 12.58/2.10 % (3586958)------------------------------
% 12.58/2.10 % (3586958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.10 % (3586958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.10 % (3586958)CaDiCaL version: 2.1.3
% 12.58/2.10 % (3586958)Termination reason: Instruction limit
% 12.58/2.10 % (3586958)Termination phase: Saturation
% 12.58/2.10 % (3586958)Time elapsed: 0.037 s
% 12.58/2.10 % (3586958)Peak memory usage: 12 MB
% 12.58/2.10 % (3586958)Instructions burned: 77 (million)
% 13.45/2.28 % (3586964)Instruction limit reached!
% 13.45/2.28 % (3586964)------------------------------
% 13.45/2.28 % (3586964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/2.28 % (3586964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/2.28 % (3586964)CaDiCaL version: 2.1.3
% 13.45/2.28 % (3586964)Termination reason: Instruction limit
% 13.45/2.28 % (3586964)Termination phase: Saturation
% 13.45/2.28 % (3586964)Time elapsed: 0.010 s
% 13.45/2.28 % (3586964)Peak memory usage: 12 MB
% 13.45/2.28 % (3586964)Instructions burned: 37 (million)
% 13.45/2.28 % (3586967)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 13.45/2.28 % (3586968)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=668164400:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2983 on theBenchmark for (2983ds/670Mi)
% 13.45/2.28 % (3586967)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=2257360459:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2983 on theBenchmark for (2983ds/372Mi)
% 13.45/2.28 % (3586967)Refutation not found, incomplete strategy
% 13.45/2.28 % (3586967)------------------------------
% 13.45/2.28 % (3586967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/2.28 % (3586967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/2.28 % (3586967)CaDiCaL version: 2.1.3
% 13.45/2.28 % (3586967)Termination reason: Refutation not found, incomplete strategy
% 13.45/2.28 % (3586967)Time elapsed: 0.002 s
% 13.45/2.28 % (3586967)Peak memory usage: 11 MB
% 13.45/2.28 % (3586967)Instructions burned: 2 (million)
% 13.45/2.28 % (3586967)------------------------------
% 13.45/2.28 % (3586967)------------------------------
% 13.45/2.28 % (3586971)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=879815932:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/647Mi)
% 13.45/2.28 % (3586971)Refutation not found, incomplete strategy
% 13.45/2.28 % (3586971)------------------------------
% 13.45/2.28 % (3586971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/2.28 % (3586971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/2.28 % (3586971)CaDiCaL version: 2.1.3
% 13.45/2.28 % (3586971)Termination reason: Refutation not found, incomplete strategy
% 13.45/2.28 % (3586971)Time elapsed: 0.0000 s
% 13.45/2.28 % (3586971)Peak memory usage: 12 MB
% 13.45/2.28 % (3586971)------------------------------
% 13.45/2.28 % (3586971)------------------------------
% 13.45/2.28 % (3586949)Instruction limit reached!
% 13.45/2.28 % (3586949)------------------------------
% 13.45/2.28 % (3586949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/2.28 % (3586949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/2.28 % (3586949)CaDiCaL version: 2.1.3
% 13.45/2.28 % (3586949)Termination reason: Instruction limit
% 13.45/2.28 % (3586949)Termination phase: Saturation
% 13.45/2.28 % (3586949)Time elapsed: 0.222 s
% 13.45/2.28 % (3586949)Peak memory usage: 14 MB
% 13.45/2.28 % (3586949)Instructions burned: 446 (million)
% 13.45/2.28 % (3586973)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=2566681067:i=857:add=off:kws=frequency:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/857Mi)
% 13.45/2.28 % (3586975)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=1326019118:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2982 on theBenchmark for (2982ds/693Mi)
% 13.45/2.28 % (3586895)Instruction limit reached!
% 13.45/2.28 % (3586895)------------------------------
% 13.45/2.28 % (3586895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/2.28 % (3586895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/2.28 % (3586895)CaDiCaL version: 2.1.3
% 13.45/2.28 % (3586895)Termination reason: Instruction limit
% 13.45/2.28 % (3586895)Termination phase: Saturation
% 13.45/2.28 % (3586895)Time elapsed: 0.815 s
% 13.45/2.28 % (3586895)Peak memory usage: 13 MB
% 13.45/2.28 % (3586895)Instructions burned: 2187 (million)
% 13.45/2.28 % (3586977)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=2867355317:i=285:hud=10:bd=all:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/285Mi)
% 14.19/2.43 % (3586977)Refutation not found, incomplete strategy
% 14.19/2.43 % (3586977)------------------------------
% 14.19/2.43 % (3586977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/2.43 % (3586977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/2.43 % (3586977)CaDiCaL version: 2.1.3
% 14.19/2.43 % (3586977)Termination reason: Refutation not found, incomplete strategy
% 14.19/2.43 % (3586977)Time elapsed: 0.001 s
% 14.19/2.43 % (3586977)Peak memory usage: 11 MB
% 14.19/2.43 % (3586977)Instructions burned: 1 (million)
% 14.19/2.43 % (3586977)------------------------------
% 14.19/2.43 % (3586977)------------------------------
% 14.19/2.43 % (3586979)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 14.19/2.43 % (3586979)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=2709054320:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2982 on theBenchmark for (2982ds/52Mi)
% 14.19/2.43 % (3586968)Instruction limit reached!
% 14.19/2.43 % (3586968)------------------------------
% 14.19/2.43 % (3586968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/2.43 % (3586968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/2.43 % (3586968)CaDiCaL version: 2.1.3
% 14.19/2.43 % (3586968)Termination reason: Instruction limit
% 14.19/2.43 % (3586968)Termination phase: Saturation
% 14.19/2.43 % (3586968)Time elapsed: 0.127 s
% 14.19/2.43 % (3586968)Peak memory usage: 12 MB
% 14.19/2.43 % (3586968)Instructions burned: 670 (million)
% 14.19/2.43 % (3586981)dis+10_1_si=on:random_seed=4265321357:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2982 on theBenchmark for (2982ds/407Mi)
% 14.19/2.43 % (3586981)Refutation not found, incomplete strategy
% 14.19/2.43 % (3586981)------------------------------
% 14.19/2.43 % (3586981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/2.43 % (3586981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/2.43 % (3586981)CaDiCaL version: 2.1.3
% 14.19/2.43 % (3586981)Termination reason: Refutation not found, incomplete strategy
% 14.19/2.43 % (3586981)Time elapsed: 0.0000 s
% 14.19/2.43 % (3586981)Peak memory usage: 11 MB
% 14.19/2.43 % (3586981)------------------------------
% 14.19/2.43 % (3586981)------------------------------
% 14.19/2.43 % (3586983)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=1462606535:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/2240Mi)
% 14.19/2.43 % (3586979)Instruction limit reached!
% 14.19/2.43 % (3586979)------------------------------
% 14.19/2.43 % (3586979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/2.43 % (3586979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/2.43 % (3586979)CaDiCaL version: 2.1.3
% 14.19/2.43 % (3586979)Termination reason: Instruction limit
% 14.19/2.43 % (3586979)Termination phase: Saturation
% 14.19/2.43 % (3586979)Time elapsed: 0.022 s
% 14.19/2.43 % (3586979)Peak memory usage: 12 MB
% 14.19/2.43 % (3586979)Instructions burned: 53 (million)
% 14.19/2.43 % (3586985)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=656223771:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/336Mi)
% 14.19/2.43 % (3586985)Refutation not found, incomplete strategy
% 14.19/2.43 % (3586985)------------------------------
% 14.19/2.43 % (3586985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/2.43 % (3586985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/2.43 % (3586985)CaDiCaL version: 2.1.3
% 14.19/2.43 % (3586985)Termination reason: Refutation not found, incomplete strategy
% 14.19/2.43 % (3586985)Time elapsed: 0.0000 s
% 14.19/2.43 % (3586985)Peak memory usage: 11 MB
% 14.19/2.43 % (3586985)------------------------------
% 14.19/2.43 % (3586985)------------------------------
% 14.19/2.43 % (3586987)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=3016217598:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2981 on theBenchmark for (2981ds/1142Mi)
% 14.19/2.43 % (3586962)Instruction limit reached!
% 14.19/2.43 % (3586962)------------------------------
% 14.19/2.43 % (3586962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.67 % (3586962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.67 % (3586962)CaDiCaL version: 2.1.3
% 15.11/2.67 % (3586962)Termination reason: Instruction limit
% 15.11/2.67 % (3586962)Termination phase: Saturation
% 15.11/2.67 % (3586962)Time elapsed: 0.209 s
% 15.11/2.67 % (3586962)Peak memory usage: 13 MB
% 15.11/2.67 % (3586962)Instructions burned: 493 (million)
% 15.11/2.67 % (3586989)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3374830238:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/376Mi)
% 15.11/2.67 % (3586989)Refutation not found, incomplete strategy
% 15.11/2.67 % (3586989)------------------------------
% 15.11/2.67 % (3586989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.67 % (3586989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.67 % (3586989)CaDiCaL version: 2.1.3
% 15.11/2.67 % (3586989)Termination reason: Refutation not found, incomplete strategy
% 15.11/2.67 % (3586989)Time elapsed: 0.001 s
% 15.11/2.67 % (3586989)Peak memory usage: 11 MB
% 15.11/2.67 % (3586989)------------------------------
% 15.11/2.67 % (3586989)------------------------------
% 15.11/2.67 % (3586991)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1491175922:i=766:bd=all:rtra=on_2981 on theBenchmark for (2981ds/766Mi)
% 15.11/2.67 % (3586991)Refutation not found, incomplete strategy
% 15.11/2.67 % (3586991)------------------------------
% 15.11/2.67 % (3586991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.67 % (3586991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.67 % (3586991)CaDiCaL version: 2.1.3
% 15.11/2.67 % (3586991)Termination reason: Refutation not found, incomplete strategy
% 15.11/2.67 % (3586991)Time elapsed: 0.001 s
% 15.11/2.67 % (3586991)Peak memory usage: 12 MB
% 15.11/2.67 % (3586991)Instructions burned: 1 (million)
% 15.11/2.67 % (3586991)------------------------------
% 15.11/2.67 % (3586991)------------------------------
% 15.11/2.67 % (3586993)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 15.11/2.67 % (3586993)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=3295746910: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_2981 on theBenchmark for (2981ds/959Mi)
% 15.11/2.67 % (3586993)Refutation not found, incomplete strategy
% 15.11/2.67 % (3586993)------------------------------
% 15.11/2.67 % (3586993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.67 % (3586993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.67 % (3586993)CaDiCaL version: 2.1.3
% 15.11/2.67 % (3586993)Termination reason: Refutation not found, incomplete strategy
% 15.11/2.67 % (3586993)Time elapsed: 0.0000 s
% 15.11/2.67 % (3586993)Peak memory usage: 11 MB
% 15.11/2.67 % (3586993)------------------------------
% 15.11/2.67 % (3586993)------------------------------
% 15.11/2.67 % (3586995)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=2105540354:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2980 on theBenchmark for (2980ds/6359Mi)
% 15.11/2.67 % (3586975)Instruction limit reached!
% 15.11/2.67 % (3586975)------------------------------
% 15.11/2.67 % (3586975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.67 % (3586975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.67 % (3586975)CaDiCaL version: 2.1.3
% 15.11/2.67 % (3586975)Termination reason: Instruction limit
% 15.11/2.67 % (3586975)Termination phase: Saturation
% 15.11/2.67 % (3586975)Time elapsed: 0.285 s
% 15.11/2.67 % (3586975)Peak memory usage: 12 MB
% 15.11/2.67 % (3586975)Instructions burned: 695 (million)
% 15.11/2.67 % (3586997)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2462328339:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2979 on theBenchmark for (2979ds/35Mi)
% 15.11/2.67 % (3586997)Refutation not found, incomplete strategy
% 15.11/2.67 % (3586997)------------------------------
% 15.11/2.67 % (3586997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.67 % (3586997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.67 % (3586997)CaDiCaL version: 2.1.3
% 16.27/2.72 % (3586997)Termination reason: Refutation not found, incomplete strategy
% 16.27/2.72 % (3586997)Time elapsed: 0.0000 s
% 16.27/2.72 % (3586997)Peak memory usage: 11 MB
% 16.27/2.72 % (3586997)------------------------------
% 16.27/2.72 % (3586997)------------------------------
% 16.27/2.72 % (3586999)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3378147651:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2979 on theBenchmark for (2979ds/53Mi)
% 16.27/2.72 % (3586973)Instruction limit reached!
% 16.27/2.72 % (3586973)------------------------------
% 16.27/2.72 % (3586973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.72 % (3586973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.72 % (3586973)CaDiCaL version: 2.1.3
% 16.27/2.72 % (3586973)Termination reason: Instruction limit
% 16.27/2.72 % (3586973)Termination phase: Saturation
% 16.27/2.72 % (3586973)Time elapsed: 0.344 s
% 16.27/2.72 % (3586973)Peak memory usage: 12 MB
% 16.27/2.72 % (3586973)Instructions burned: 860 (million)
% 16.27/2.72 % (3587001)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3179947621:s2a=on:i=876:s2at=6:nm=2:rtra=on_2979 on theBenchmark for (2979ds/876Mi)
% 16.27/2.72 % (3586999)Instruction limit reached!
% 16.27/2.72 % (3586999)------------------------------
% 16.27/2.72 % (3586999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.72 % (3586999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.72 % (3586999)CaDiCaL version: 2.1.3
% 16.27/2.72 % (3586999)Termination reason: Instruction limit
% 16.27/2.72 % (3586999)Termination phase: Saturation
% 16.27/2.72 % (3586999)Time elapsed: 0.028 s
% 16.27/2.72 % (3586999)Peak memory usage: 12 MB
% 16.27/2.72 % (3586999)Instructions burned: 53 (million)
% 16.27/2.72 % (3587003)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3539772320:i=57:ep=R:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/57Mi)
% 16.27/2.72 % (3587003)Instruction limit reached!
% 16.27/2.72 % (3587003)------------------------------
% 16.27/2.72 % (3587003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.72 % (3587003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.72 % (3587003)CaDiCaL version: 2.1.3
% 16.27/2.72 % (3587003)Termination reason: Instruction limit
% 16.27/2.72 % (3587003)Termination phase: Saturation
% 16.27/2.72 % (3587003)Time elapsed: 0.028 s
% 16.27/2.72 % (3587003)Peak memory usage: 12 MB
% 16.27/2.72 % (3587003)Instructions burned: 58 (million)
% 16.27/2.72 % (3587005)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.27/2.72 % (3587005)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3804466770:i=306:bd=all:rtra=on_2978 on theBenchmark for (2978ds/306Mi)
% 16.27/2.72 % (3587005)Refutation not found, incomplete strategy
% 16.27/2.72 % (3587005)------------------------------
% 16.27/2.72 % (3587005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.72 % (3587005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.72 % (3587005)CaDiCaL version: 2.1.3
% 16.27/2.72 % (3587005)Termination reason: Refutation not found, incomplete strategy
% 16.27/2.72 % (3587005)Time elapsed: 0.001 s
% 16.27/2.72 % (3587005)Peak memory usage: 11 MB
% 16.27/2.72 % (3587005)Instructions burned: 1 (million)
% 16.27/2.72 % (3587005)------------------------------
% 16.27/2.72 % (3587005)------------------------------
% 16.27/2.72 % (3587007)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2680926990:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/262Mi)
% 16.27/2.72 % (3587007)Refutation not found, incomplete strategy
% 16.27/2.72 % (3587007)------------------------------
% 16.27/2.72 % (3587007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.72 % (3587007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.72 % (3587007)CaDiCaL version: 2.1.3
% 16.27/2.72 % (3587007)Termination reason: Refutation not found, incomplete strategy
% 16.27/2.72 % (3587007)Time elapsed: 0.001 s
% 16.27/2.72 % (3587007)Peak memory usage: 11 MB
% 16.27/2.72 % (3587007)------------------------------
% 16.27/2.72 % (3587007)------------------------------
% 16.27/2.72 % (3586911)Instruction limit reached!
% 16.27/2.72 % (3586911)------------------------------
% 16.27/2.79 % (3586911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.79 % (3586911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.79 % (3586911)CaDiCaL version: 2.1.3
% 16.27/2.79 % (3586911)Termination reason: Instruction limit
% 16.27/2.79 % (3586911)Termination phase: Saturation
% 16.27/2.79 % (3586911)Time elapsed: 1.156 s
% 16.27/2.79 % (3586911)Peak memory usage: 16 MB
% 16.27/2.79 % (3586911)Instructions burned: 2472 (million)
% 16.27/2.79 % (3587009)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 16.27/2.79 % (3587009)ott+1002_16_sil=128000:si=on:random_seed=2147764569:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2978 on theBenchmark for (2978ds/409Mi)
% 16.27/2.79 % (3587010)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1610135231:s2a=on:i=381:rtra=on_2978 on theBenchmark for (2978ds/381Mi)
% 16.27/2.79 % (3586987)Instruction limit reached!
% 16.27/2.79 % (3586987)------------------------------
% 16.27/2.79 % (3586987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.79 % (3586987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.79 % (3586987)CaDiCaL version: 2.1.3
% 16.27/2.79 % (3586987)Termination reason: Instruction limit
% 16.27/2.79 % (3586987)Termination phase: Saturation
% 16.27/2.79 % (3586987)Time elapsed: 0.457 s
% 16.27/2.79 % (3586987)Peak memory usage: 14 MB
% 16.27/2.79 % (3586987)Instructions burned: 1143 (million)
% 16.27/2.79 % (3587013)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=772102907:cond=on:i=324:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/324Mi)
% 16.27/2.79 % (3587009)Instruction limit reached!
% 16.27/2.79 % (3587009)------------------------------
% 16.27/2.79 % (3587009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.79 % (3587009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.79 % (3587009)CaDiCaL version: 2.1.3
% 16.27/2.79 % (3587009)Termination reason: Instruction limit
% 16.27/2.79 % (3587009)Termination phase: Saturation
% 16.27/2.79 % (3587009)Time elapsed: 0.151 s
% 16.27/2.79 % (3587009)Peak memory usage: 13 MB
% 16.27/2.79 % (3587009)Instructions burned: 410 (million)
% 16.27/2.79 % (3587015)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=1587647614:i=240:kws=inv_precedence:rtra=on_2976 on theBenchmark for (2976ds/240Mi)
% 16.27/2.79 % (3587015)Refutation not found, incomplete strategy
% 16.27/2.79 % (3587015)------------------------------
% 16.27/2.79 % (3587015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.79 % (3587015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.79 % (3587015)CaDiCaL version: 2.1.3
% 16.27/2.79 % (3587015)Termination reason: Refutation not found, incomplete strategy
% 16.27/2.79 % (3587015)Time elapsed: 0.001 s
% 16.27/2.79 % (3587015)Peak memory usage: 11 MB
% 16.27/2.79 % (3587015)Instructions burned: 1 (million)
% 16.27/2.79 % (3587015)------------------------------
% 16.27/2.79 % (3587015)------------------------------
% 16.27/2.79 % (3587010)Instruction limit reached!
% 16.27/2.79 % (3587010)------------------------------
% 16.27/2.79 % (3587010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.79 % (3587010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.79 % (3587010)CaDiCaL version: 2.1.3
% 16.27/2.79 % (3587010)Termination reason: Instruction limit
% 16.27/2.79 % (3587010)Termination phase: Saturation
% 16.27/2.79 % (3587010)Time elapsed: 0.166 s
% 16.27/2.79 % (3587010)Peak memory usage: 12 MB
% 16.27/2.79 % (3587010)Instructions burned: 382 (million)
% 16.27/2.79 % (3587017)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.27/2.79 % (3587017)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3488235558:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/124Mi)
% 16.27/2.79 % (3587018)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=4144608358:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2976 on theBenchmark for (2976ds/223Mi)
% 16.27/2.79 % (3587017)Instruction limit reached!
% 16.27/2.79 % (3587017)------------------------------
% 16.27/2.79 % (3587017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.79 % (3587017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/2.92 % (3587017)CaDiCaL version: 2.1.3
% 17.52/2.92 % (3587017)Termination reason: Instruction limit
% 17.52/2.92 % (3587017)Termination phase: Saturation
% 17.52/2.92 % (3587017)Time elapsed: 0.048 s
% 17.52/2.92 % (3587017)Peak memory usage: 12 MB
% 17.52/2.92 % (3587017)Instructions burned: 125 (million)
% 17.52/2.92 % (3586983)Instruction limit reached!
% 17.52/2.92 % (3586983)------------------------------
% 17.52/2.92 % (3586983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/2.92 % (3586983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/2.92 % (3586983)CaDiCaL version: 2.1.3
% 17.52/2.92 % (3586983)Termination reason: Instruction limit
% 17.52/2.92 % (3586983)Termination phase: Saturation
% 17.52/2.92 % (3586983)Time elapsed: 0.616 s
% 17.52/2.92 % (3586983)Peak memory usage: 17 MB
% 17.52/2.92 % (3586983)Instructions burned: 2243 (million)
% 17.52/2.92 % (3587022)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=363708524:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/464Mi)
% 17.52/2.92 % (3587022)Refutation not found, incomplete strategy
% 17.52/2.93 % (3587022)------------------------------
% 17.52/2.93 % (3587022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/2.93 % (3587022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/2.93 % (3587022)CaDiCaL version: 2.1.3
% 17.52/2.93 % (3587022)Termination reason: Refutation not found, incomplete strategy
% 17.52/2.93 % (3587022)Time elapsed: 0.0000 s
% 17.52/2.93 % (3587022)Peak memory usage: 11 MB
% 17.52/2.93 % (3587022)Instructions burned: 1 (million)
% 17.52/2.93 % (3587022)------------------------------
% 17.52/2.93 % (3587022)------------------------------
% 17.52/2.93 % (3587021)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3727337715:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2975 on theBenchmark for (2975ds/282Mi)
% 17.52/2.93 % (3587013)Instruction limit reached!
% 17.52/2.93 % (3587013)------------------------------
% 17.52/2.93 % (3587013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/2.93 % (3587013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/2.93 % (3587013)CaDiCaL version: 2.1.3
% 17.52/2.93 % (3587013)Termination reason: Instruction limit
% 17.52/2.93 % (3587013)Termination phase: Saturation
% 17.52/2.93 % (3587013)Time elapsed: 0.117 s
% 17.52/2.93 % (3587013)Peak memory usage: 12 MB
% 17.52/2.93 % (3587013)Instructions burned: 324 (million)
% 17.52/2.93 % (3587024)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=3184492263:i=88:s2at=3:nm=2:rtra=on:rawr=on_2975 on theBenchmark for (2975ds/88Mi)
% 17.52/2.93 % (3587001)Instruction limit reached!
% 17.52/2.93 % (3587001)------------------------------
% 17.52/2.93 % (3587001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/2.93 % (3587001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/2.93 % (3587001)CaDiCaL version: 2.1.3
% 17.52/2.93 % (3587001)Termination reason: Instruction limit
% 17.52/2.93 % (3587001)Termination phase: Saturation
% 17.52/2.93 % (3587001)Time elapsed: 0.381 s
% 17.52/2.93 % (3587001)Peak memory usage: 13 MB
% 17.52/2.93 % (3587001)Instructions burned: 876 (million)
% 17.52/2.93 % (3587026)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3937973063:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2975 on theBenchmark for (2975ds/280Mi)
% 17.52/2.93 % (3587028)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 17.52/2.93 % (3587024)Instruction limit reached!
% 17.52/2.93 % (3587024)------------------------------
% 17.52/2.93 % (3587024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/2.93 % (3587024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/2.93 % (3587024)CaDiCaL version: 2.1.3
% 17.52/2.93 % (3587024)Termination reason: Instruction limit
% 17.52/2.93 % (3587024)Termination phase: Saturation
% 17.52/2.93 % (3587024)Time elapsed: 0.021 s
% 17.52/2.93 % (3587024)Peak memory usage: 12 MB
% 17.52/2.93 % (3587024)Instructions burned: 90 (million)
% 17.52/2.93 % (3587028)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=165677483:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/4386Mi)
% 20.18/3.18 % (3587018)Instruction limit reached!
% 20.18/3.18 % (3587018)------------------------------
% 20.18/3.18 % (3587018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.18/3.18 % (3587018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/3.18 % (3587018)CaDiCaL version: 2.1.3
% 20.18/3.18 % (3587018)Termination reason: Instruction limit
% 20.18/3.18 % (3587018)Termination phase: Saturation
% 20.18/3.18 % (3587018)Time elapsed: 0.085 s
% 20.18/3.18 % (3587018)Peak memory usage: 12 MB
% 20.18/3.18 % (3587018)Instructions burned: 225 (million)
% 20.18/3.18 % (3587031)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 20.18/3.18 % (3587031)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 20.18/3.18 % (3587031)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=2491710422:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2975 on theBenchmark for (2975ds/483Mi)
% 20.18/3.18 % (3587031)Refutation not found, incomplete strategy
% 20.18/3.18 % (3587031)------------------------------
% 20.18/3.18 % (3587031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.18/3.18 % (3587031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/3.18 % (3587031)CaDiCaL version: 2.1.3
% 20.18/3.18 % (3587031)Termination reason: Refutation not found, incomplete strategy
% 20.18/3.18 % (3587031)Time elapsed: 0.0000 s
% 20.18/3.18 % (3587031)Peak memory usage: 12 MB
% 20.18/3.18 % (3587031)------------------------------
% 20.18/3.18 % (3587031)------------------------------
% 20.18/3.18 % (3587032)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=705823071:i=73:rtra=on_2975 on theBenchmark for (2975ds/73Mi)
% 20.18/3.18 % (3587032)Refutation not found, incomplete strategy
% 20.18/3.18 % (3587032)------------------------------
% 20.18/3.18 % (3587032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.18/3.18 % (3587032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/3.18 % (3587032)CaDiCaL version: 2.1.3
% 20.18/3.18 % (3587032)Termination reason: Refutation not found, incomplete strategy
% 20.18/3.18 % (3587032)Time elapsed: 0.001 s
% 20.18/3.18 % (3587032)Peak memory usage: 11 MB
% 20.18/3.18 % (3587032)Instructions burned: 1 (million)
% 20.18/3.18 % (3587032)------------------------------
% 20.18/3.18 % (3587032)------------------------------
% 20.18/3.18 % (3587034)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2731298627:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2975 on theBenchmark for (2975ds/176Mi)
% 20.18/3.18 % (3587037)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 20.18/3.18 % (3587037)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=246903738:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2975 on theBenchmark for (2975ds/39Mi)
% 20.18/3.18 % (3587037)Instruction limit reached!
% 20.18/3.18 % (3587037)------------------------------
% 20.18/3.18 % (3587037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.18/3.18 % (3587037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/3.18 % (3587037)CaDiCaL version: 2.1.3
% 20.18/3.18 % (3587037)Termination reason: Instruction limit
% 20.18/3.18 % (3587037)Termination phase: Saturation
% 20.18/3.18 % (3587037)Time elapsed: 0.021 s
% 20.18/3.18 % (3587037)Peak memory usage: 12 MB
% 20.18/3.18 % (3587037)Instructions burned: 40 (million)
% 20.18/3.18 % (3587034)Instruction limit reached!
% 20.18/3.18 % (3587034)------------------------------
% 20.18/3.18 % (3587034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.18/3.18 % (3587034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/3.18 % (3587034)CaDiCaL version: 2.1.3
% 20.18/3.18 % (3587034)Termination reason: Instruction limit
% 20.18/3.18 % (3587034)Termination phase: Saturation
% 20.18/3.18 % (3587034)Time elapsed: 0.041 s
% 20.18/3.18 % (3587034)Peak memory usage: 12 MB
% 20.18/3.18 % (3587034)Instructions burned: 178 (million)
% 20.18/3.18 % (3587040)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
% 20.52/3.26 % (3587040)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=3801474921:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/252Mi)
% 20.52/3.26 % (3587039)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1211512321:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/708Mi)
% 20.52/3.26 % (3587021)Instruction limit reached!
% 20.52/3.26 % (3587021)------------------------------
% 20.52/3.26 % (3587021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.52/3.26 % (3587021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/3.26 % (3587021)CaDiCaL version: 2.1.3
% 20.52/3.26 % (3587021)Termination reason: Instruction limit
% 20.52/3.26 % (3587021)Termination phase: Saturation
% 20.52/3.26 % (3587021)Time elapsed: 0.129 s
% 20.52/3.26 % (3587021)Peak memory usage: 13 MB
% 20.52/3.26 % (3587021)Instructions burned: 284 (million)
% 20.52/3.26 % (3587043)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=3010709711:i=823:fsr=off:rtra=on_2974 on theBenchmark for (2974ds/823Mi)
% 20.52/3.26 % (3587026)Instruction limit reached!
% 20.52/3.26 % (3587026)------------------------------
% 20.52/3.26 % (3587026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.52/3.26 % (3587026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/3.26 % (3587026)CaDiCaL version: 2.1.3
% 20.52/3.26 % (3587026)Termination reason: Instruction limit
% 20.52/3.26 % (3587026)Termination phase: Saturation
% 20.52/3.26 % (3587026)Time elapsed: 0.130 s
% 20.52/3.26 % (3587026)Peak memory usage: 12 MB
% 20.52/3.26 % (3587026)Instructions burned: 280 (million)
% 20.52/3.26 % (3587040)Instruction limit reached!
% 20.52/3.26 % (3587040)------------------------------
% 20.52/3.26 % (3587040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.52/3.26 % (3587040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/3.26 % (3587040)CaDiCaL version: 2.1.3
% 20.52/3.26 % (3587040)Termination reason: Instruction limit
% 20.52/3.26 % (3587040)Termination phase: Saturation
% 20.52/3.26 % (3587040)Time elapsed: 0.055 s
% 20.52/3.26 % (3587040)Peak memory usage: 12 MB
% 20.52/3.26 % (3587040)Instructions burned: 254 (million)
% 20.52/3.26 % (3587045)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 20.52/3.26 % (3587046)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=1624854294:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/300Mi)
% 20.52/3.26 % (3587045)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2941855334:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/16202Mi)
% 20.52/3.26 % (3587045)Refutation not found, incomplete strategy
% 20.52/3.26 % (3587045)------------------------------
% 20.52/3.26 % (3587045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.52/3.26 % (3587045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/3.26 % (3587045)CaDiCaL version: 2.1.3
% 20.52/3.26 % (3587045)Termination reason: Refutation not found, incomplete strategy
% 20.52/3.26 % (3587045)Time elapsed: 0.001 s
% 20.52/3.26 % (3587045)Peak memory usage: 11 MB
% 20.52/3.26 % (3587045)Instructions burned: 1 (million)
% 20.52/3.26 % (3587045)------------------------------
% 20.52/3.26 % (3587045)------------------------------
% 20.52/3.26 % (3587049)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 20.52/3.26 % (3587049)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 20.52/3.26 % (3587049)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=2294433819:i=177:add=on:bd=preordered:rtra=on:rawr=on_2973 on theBenchmark for (2973ds/177Mi)
% 20.52/3.26 % (3587046)Instruction limit reached!
% 20.52/3.26 % (3587046)------------------------------
% 20.52/3.26 % (3587046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.52/3.26 % (3587046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.52/3.26 % (3587046)CaDiCaL version: 2.1.3
% 21.29/3.33 % (3587046)Termination reason: Instruction limit
% 21.29/3.33 % (3587046)Termination phase: Saturation
% 21.29/3.33 % (3587046)Time elapsed: 0.068 s
% 21.29/3.33 % (3587046)Peak memory usage: 12 MB
% 21.29/3.33 % (3587046)Instructions burned: 302 (million)
% 21.29/3.33 % (3587051)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=198520190:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/715Mi)
% 21.29/3.33 % (3587051)Refutation not found, incomplete strategy
% 21.29/3.33 % (3587051)------------------------------
% 21.29/3.33 % (3587051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.29/3.33 % (3587051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.29/3.33 % (3587051)CaDiCaL version: 2.1.3
% 21.29/3.33 % (3587051)Termination reason: Refutation not found, incomplete strategy
% 21.29/3.33 % (3587051)Time elapsed: 0.0000 s
% 21.29/3.33 % (3587051)Peak memory usage: 11 MB
% 21.29/3.33 % (3587051)Instructions burned: 2 (million)
% 21.29/3.33 % (3587051)------------------------------
% 21.29/3.33 % (3587051)------------------------------
% 21.29/3.33 % (3587053)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 21.29/3.33 % (3587053)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 21.29/3.33 % (3587053)dis+11_1_sil=128000:plsqc=3:cnfonf=lazy_gen:si=on:sp=const_max:lma=off:plsqr=19,3:lcm=predicate:uwa=off:fd=preordered:nwc=1:random_seed=1887188713:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2973 on theBenchmark for (2973ds/230Mi)
% 21.29/3.33 % (3587053)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.29/3.33 % (3587049)Instruction limit reached!
% 21.29/3.33 % (3587049)------------------------------
% 21.29/3.33 % (3587049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.29/3.33 % (3587049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.29/3.33 % (3587049)CaDiCaL version: 2.1.3
% 21.29/3.33 % (3587049)Termination reason: Instruction limit
% 21.29/3.33 % (3587049)Termination phase: Saturation
% 21.29/3.33 % (3587049)Time elapsed: 0.083 s
% 21.29/3.33 % (3587049)Peak memory usage: 12 MB
% 21.29/3.33 % (3587049)Instructions burned: 179 (million)
% 21.29/3.33 % (3587055)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=201372231:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2972 on theBenchmark for (2972ds/606Mi)
% 21.29/3.33 % (3587053)Instruction limit reached!
% 21.29/3.33 % (3587053)------------------------------
% 21.29/3.33 % (3587053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.29/3.33 % (3587053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.29/3.33 % (3587053)CaDiCaL version: 2.1.3
% 21.29/3.33 % (3587053)Termination reason: Instruction limit
% 21.29/3.33 % (3587053)Termination phase: Saturation
% 21.29/3.33 % (3587053)Time elapsed: 0.056 s
% 21.29/3.33 % (3587053)Peak memory usage: 13 MB
% 21.29/3.33 % (3587053)Instructions burned: 233 (million)
% 21.29/3.33 % (3587057)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 21.29/3.33 % (3587057)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=4204714747:lrd=on:i=841:nm=0:rtra=on_2972 on theBenchmark for (2972ds/841Mi)
% 21.29/3.33 % (3587039)Instruction limit reached!
% 21.29/3.33 % (3587039)------------------------------
% 21.29/3.33 % (3587039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.29/3.33 % (3587039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.29/3.33 % (3587039)CaDiCaL version: 2.1.3
% 21.29/3.33 % (3587039)Termination reason: Instruction limit
% 21.29/3.33 % (3587039)Termination phase: Saturation
% 21.29/3.33 % (3587039)Time elapsed: 0.260 s
% 21.29/3.33 % (3587039)Peak memory usage: 14 MB
% 21.29/3.33 % (3587039)Instructions burned: 709 (million)
% 21.29/3.33 % (3587059)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=329760538:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2971 on theBenchmark for (2971ds/445Mi)
% 21.29/3.33 % (3587043)Instruction limit reached!
% 21.29/3.33 % (3587043)------------------------------
% 21.29/3.33 % (3587043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.29/3.33 % (3587043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.29/3.39 % (3587043)CaDiCaL version: 2.1.3
% 21.29/3.39 % (3587043)Termination reason: Instruction limit
% 21.29/3.39 % (3587043)Termination phase: Saturation
% 21.29/3.39 % (3587043)Time elapsed: 0.345 s
% 21.29/3.39 % (3587043)Peak memory usage: 13 MB
% 21.29/3.39 % (3587043)Instructions burned: 824 (million)
% 21.29/3.39 % (3587061)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2038227005:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2970 on theBenchmark for (2970ds/71Mi)
% 21.29/3.39 % (3587057)Instruction limit reached!
% 21.29/3.39 % (3587057)------------------------------
% 21.29/3.39 % (3587057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.29/3.39 % (3587057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.29/3.39 % (3587057)CaDiCaL version: 2.1.3
% 21.29/3.39 % (3587057)Termination reason: Instruction limit
% 21.29/3.39 % (3587057)Termination phase: Saturation
% 21.29/3.39 % (3587057)Time elapsed: 0.198 s
% 21.29/3.39 % (3587057)Peak memory usage: 14 MB
% 21.29/3.39 % (3587057)Instructions burned: 845 (million)
% 21.29/3.39 % (3587063)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 21.29/3.39 % (3587063)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 21.29/3.39 % (3587063)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4026433617:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2970 on theBenchmark for (2970ds/100Mi)
% 21.29/3.39 % (3587061)Instruction limit reached!
% 21.29/3.39 % (3587061)------------------------------
% 21.29/3.39 % (3587061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.29/3.39 % (3587061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.29/3.39 % (3587061)CaDiCaL version: 2.1.3
% 21.29/3.39 % (3587061)Termination reason: Instruction limit
% 21.29/3.39 % (3587061)Termination phase: Saturation
% 21.29/3.39 % (3587061)Time elapsed: 0.038 s
% 21.29/3.39 % (3587061)Peak memory usage: 12 MB
% 21.29/3.39 % (3587061)Instructions burned: 72 (million)
% 21.29/3.39 % (3587063)Instruction limit reached!
% 21.29/3.39 % (3587063)------------------------------
% 21.29/3.39 % (3587063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.29/3.39 % (3587063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.29/3.39 % (3587063)CaDiCaL version: 2.1.3
% 21.29/3.39 % (3587063)Termination reason: Instruction limit
% 21.29/3.39 % (3587063)Termination phase: Saturation
% 21.29/3.39 % (3587063)Time elapsed: 0.024 s
% 21.29/3.39 % (3587063)Peak memory usage: 12 MB
% 21.29/3.39 % (3587063)Instructions burned: 100 (million)
% 21.29/3.39 % (3587065)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 21.29/3.39 % (3587066)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=3298357498:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2970 on theBenchmark for (2970ds/646Mi)
% 21.29/3.39 % (3587065)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=3564676349:i=1352:add=on:aac=none:rtra=on_2970 on theBenchmark for (2970ds/1352Mi)
% 21.29/3.39 % (3587065)Refutation not found, incomplete strategy
% 21.29/3.39 % (3587065)------------------------------
% 21.29/3.39 % (3587065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.29/3.39 % (3587065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.29/3.39 % (3587065)CaDiCaL version: 2.1.3
% 21.29/3.39 % (3587065)Termination reason: Refutation not found, incomplete strategy
% 21.29/3.39 % (3587065)Time elapsed: 0.002 s
% 21.29/3.39 % (3587065)Peak memory usage: 11 MB
% 21.29/3.39 % (3587065)Instructions burned: 3 (million)
% 21.29/3.39 % (3587055)Instruction limit reached!
% 21.29/3.39 % (3587055)------------------------------
% 21.29/3.39 % (3587055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.29/3.39 % (3587055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.29/3.39 % (3587055)CaDiCaL version: 2.1.3
% 22.43/3.60 % (3587055)Termination reason: Instruction limit
% 22.43/3.60 % (3587055)Termination phase: Saturation
% 22.43/3.60 % (3587055)Time elapsed: 0.279 s
% 22.43/3.60 % (3587055)Peak memory usage: 12 MB
% 22.43/3.60 % (3587055)Instructions burned: 608 (million)
% 22.43/3.60 % (3587065)------------------------------
% 22.43/3.60 % (3587065)------------------------------
% 22.43/3.60 % (3587069)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=2542354626:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2969 on theBenchmark for (2969ds/1924Mi)
% 22.43/3.60 % (3587070)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3313822515:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2969 on theBenchmark for (2969ds/984Mi)
% 22.43/3.60 % (3587069)Refutation not found, incomplete strategy
% 22.43/3.60 % (3587069)------------------------------
% 22.43/3.60 % (3587069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.43/3.60 % (3587069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.43/3.60 % (3587069)CaDiCaL version: 2.1.3
% 22.43/3.60 % (3587069)Termination reason: Refutation not found, incomplete strategy
% 22.43/3.60 % (3587069)Time elapsed: 0.0000 s
% 22.43/3.60 % (3587069)Peak memory usage: 11 MB
% 22.43/3.60 % (3587070)Refutation not found, incomplete strategy
% 22.43/3.60 % (3587070)------------------------------
% 22.43/3.60 % (3587070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.43/3.60 % (3587070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.43/3.60 % (3587070)CaDiCaL version: 2.1.3
% 22.43/3.60 % (3587070)Termination reason: Refutation not found, incomplete strategy
% 22.43/3.60 % (3587070)Time elapsed: 0.001 s
% 22.43/3.60 % (3587070)Peak memory usage: 11 MB
% 22.43/3.60 % (3587070)Instructions burned: 1 (million)
% 22.43/3.60 % (3587069)------------------------------
% 22.43/3.60 % (3587069)------------------------------
% 22.43/3.60 % (3587070)------------------------------
% 22.43/3.60 % (3587070)------------------------------
% 22.43/3.60 % (3587073)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=2023913219:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2969 on theBenchmark for (2969ds/592Mi)
% 22.43/3.60 % (3587059)Instruction limit reached!
% 22.43/3.60 % (3587059)------------------------------
% 22.43/3.60 % (3587059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.43/3.60 % (3587059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.43/3.60 % (3587059)CaDiCaL version: 2.1.3
% 22.43/3.60 % (3587059)Termination reason: Instruction limit
% 22.43/3.60 % (3587059)Termination phase: Saturation
% 22.43/3.60 % (3587059)Time elapsed: 0.225 s
% 22.43/3.60 % (3587059)Peak memory usage: 14 MB
% 22.43/3.60 % (3587059)Instructions burned: 447 (million)
% 22.43/3.60 % (3587074)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=947543193:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2969 on theBenchmark for (2969ds/872Mi)
% 22.43/3.60 % (3587074)Refutation not found, incomplete strategy
% 22.43/3.60 % (3587074)------------------------------
% 22.43/3.60 % (3587074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.43/3.60 % (3587074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.43/3.60 % (3587074)CaDiCaL version: 2.1.3
% 22.43/3.60 % (3587074)Termination reason: Refutation not found, incomplete strategy
% 22.43/3.60 % (3587074)Time elapsed: 0.001 s
% 22.43/3.60 % (3587074)Peak memory usage: 11 MB
% 22.43/3.60 % (3587074)------------------------------
% 22.43/3.60 % (3587074)------------------------------
% 22.43/3.60 % (3587077)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 22.43/3.60 % (3587078)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 22.43/3.60 % (3587077)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=2258227615:i=999:add=on:rtra=on_2969 on theBenchmark for (2969ds/999Mi)
% 22.43/3.60 % (3587078)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=3097953830:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2969 on theBenchmark for (2969ds/244Mi)
% 22.43/3.60 % (3587078)Refutation not found, incomplete strategy
% 22.43/3.60 % (3587078)------------------------------
% 24.31/3.81 % (3587078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.31/3.81 % (3587078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.31/3.81 % (3587078)CaDiCaL version: 2.1.3
% 24.31/3.81 % (3587078)Termination reason: Refutation not found, incomplete strategy
% 24.31/3.81 % (3587078)Time elapsed: 0.002 s
% 24.31/3.81 % (3587078)Peak memory usage: 11 MB
% 24.31/3.81 % (3587078)Instructions burned: 2 (million)
% 24.31/3.81 % (3587078)------------------------------
% 24.31/3.81 % (3587078)------------------------------
% 24.31/3.81 % (3587081)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=358005956:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2969 on theBenchmark for (2969ds/113Mi)
% 24.31/3.81 % (3587081)Refutation not found, incomplete strategy
% 24.31/3.81 % (3587081)------------------------------
% 24.31/3.81 % (3587081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.31/3.81 % (3587081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.31/3.81 % (3587081)CaDiCaL version: 2.1.3
% 24.31/3.81 % (3587081)Termination reason: Refutation not found, incomplete strategy
% 24.31/3.81 % (3587081)Time elapsed: 0.001 s
% 24.31/3.81 % (3587081)Peak memory usage: 11 MB
% 24.31/3.81 % (3587081)Instructions burned: 1 (million)
% 24.31/3.81 % (3587081)------------------------------
% 24.31/3.81 % (3587081)------------------------------
% 24.31/3.81 % (3587083)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2147316617:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/7795Mi)
% 24.31/3.81 % (3587083)Refutation not found, incomplete strategy
% 24.31/3.81 % (3587083)------------------------------
% 24.31/3.81 % (3587083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.31/3.81 % (3587083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.31/3.81 % (3587083)CaDiCaL version: 2.1.3
% 24.31/3.81 % (3587083)Termination reason: Refutation not found, incomplete strategy
% 24.31/3.81 % (3587083)Time elapsed: 0.0000 s
% 24.31/3.81 % (3587083)Peak memory usage: 11 MB
% 24.31/3.81 % (3587083)------------------------------
% 24.31/3.81 % (3587083)------------------------------
% 24.31/3.81 % (3587066)Instruction limit reached!
% 24.31/3.81 % (3587066)------------------------------
% 24.31/3.81 % (3587066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.31/3.81 % (3587066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.31/3.81 % (3587066)CaDiCaL version: 2.1.3
% 24.31/3.81 % (3587066)Termination reason: Instruction limit
% 24.31/3.81 % (3587066)Termination phase: Saturation
% 24.31/3.81 % (3587066)Time elapsed: 0.115 s
% 24.31/3.81 % (3587066)Peak memory usage: 14 MB
% 24.31/3.81 % (3587066)Instructions burned: 652 (million)
% 24.31/3.81 % (3587086)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 24.31/3.81 % (3587086)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=3377570022:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2968 on theBenchmark for (2968ds/763Mi)
% 24.31/3.81 % (3587086)Refutation not found, incomplete strategy
% 24.31/3.81 % (3587086)------------------------------
% 24.31/3.81 % (3587086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.31/3.81 % (3587086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.31/3.81 % (3587086)CaDiCaL version: 2.1.3
% 24.31/3.81 % (3587086)Termination reason: Refutation not found, incomplete strategy
% 24.31/3.81 % (3587086)Time elapsed: 0.0000 s
% 24.31/3.81 % (3587086)Peak memory usage: 11 MB
% 24.31/3.81 % (3587086)Instructions burned: 1 (million)
% 24.31/3.81 % (3587086)------------------------------
% 24.31/3.81 % (3587086)------------------------------
% 24.31/3.81 % (3587085)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3905471162:st=2:i=5026:sd=1:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/5026Mi)
% 24.31/3.81 % (3587085)Refutation not found, incomplete strategy
% 24.31/3.81 % (3587085)------------------------------
% 24.31/3.81 % (3587085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.31/3.81 % (3587085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.31/3.81 % (3587085)CaDiCaL version: 2.1.3
% 24.31/3.81 % (3587085)Termination reason: Refutation not found, incomplete strategy
% 24.31/3.81 % (3587085)Time elapsed: 0.0000 s
% 24.31/3.81 % (3587085)Peak memory usage: 11 MB
% 24.31/3.87 % (3587085)------------------------------
% 24.31/3.87 % (3587085)------------------------------
% 24.31/3.87 % (3587088)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3268821258:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2968 on theBenchmark for (2968ds/1144Mi)
% 24.31/3.87 % (3587088)Refutation not found, incomplete strategy
% 24.31/3.87 % (3587088)------------------------------
% 24.31/3.87 % (3587088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.31/3.87 % (3587088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.31/3.87 % (3587088)CaDiCaL version: 2.1.3
% 24.31/3.87 % (3587088)Termination reason: Refutation not found, incomplete strategy
% 24.31/3.87 % (3587088)Time elapsed: 0.0000 s
% 24.31/3.87 % (3587088)Peak memory usage: 11 MB
% 24.31/3.87 % (3587088)------------------------------
% 24.31/3.87 % (3587088)------------------------------
% 24.31/3.87 % (3587090)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 24.31/3.87 % (3587092)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=4256666046:i=1724:fsr=off:rtra=on:fe=abstraction_2968 on theBenchmark for (2968ds/1724Mi)
% 24.31/3.87 % (3587090)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=3703350450:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2968 on theBenchmark for (2968ds/52Mi)
% 24.31/3.87 % (3587090)Instruction limit reached!
% 24.31/3.87 % (3587090)------------------------------
% 24.31/3.87 % (3587090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.31/3.87 % (3587090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.31/3.87 % (3587090)CaDiCaL version: 2.1.3
% 24.31/3.87 % (3587090)Termination reason: Instruction limit
% 24.31/3.87 % (3587090)Termination phase: Saturation
% 24.31/3.87 % (3587090)Time elapsed: 0.021 s
% 24.31/3.87 % (3587090)Peak memory usage: 12 MB
% 24.31/3.87 % (3587090)Instructions burned: 54 (million)
% 24.31/3.87 % (3587095)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=884947435:i=439:add=on:slsql=off:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/439Mi)
% 24.31/3.87 % (3587073)Instruction limit reached!
% 24.31/3.87 % (3587073)------------------------------
% 24.31/3.87 % (3587073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.31/3.87 % (3587073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.31/3.87 % (3587073)CaDiCaL version: 2.1.3
% 24.31/3.87 % (3587073)Termination reason: Instruction limit
% 24.31/3.87 % (3587073)Termination phase: Saturation
% 24.31/3.87 % (3587073)Time elapsed: 0.255 s
% 24.31/3.87 % (3587073)Peak memory usage: 12 MB
% 24.31/3.87 % (3587073)Instructions burned: 593 (million)
% 24.31/3.87 % (3587097)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=4286237301:i=6395:sd=1:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/6395Mi)
% 24.31/3.87 % (3587097)Refutation not found, incomplete strategy
% 24.31/3.87 % (3587097)------------------------------
% 24.31/3.87 % (3587097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.31/3.87 % (3587097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.31/3.87 % (3587097)CaDiCaL version: 2.1.3
% 24.31/3.87 % (3587097)Termination reason: Refutation not found, incomplete strategy
% 24.31/3.87 % (3587097)Time elapsed: 0.001 s
% 24.31/3.87 % (3587097)Peak memory usage: 11 MB
% 24.31/3.87 % (3587097)------------------------------
% 24.31/3.87 % (3587097)------------------------------
% 24.31/3.87 % (3587099)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 24.31/3.87 % (3587099)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=2368077427:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2966 on theBenchmark for (2966ds/6762Mi)
% 24.31/3.87 % (3587099)Refutation not found, incomplete strategy
% 24.31/3.87 % (3587099)------------------------------
% 24.31/3.87 % (3587099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.31/3.87 % (3587099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.31/3.87 % (3587099)CaDiCaL version: 2.1.3
% 24.31/3.87 % (3587099)Termination reason: Refutation not found, incomplete strategy
% 24.31/3.87 % (3587099)Time elapsed: 0.0000 s
% 26.74/4.12 % (3587099)Peak memory usage: 11 MB
% 26.74/4.12 % (3587099)------------------------------
% 26.74/4.12 % (3587099)------------------------------
% 26.74/4.12 % (3587095)Instruction limit reached!
% 26.74/4.12 % (3587095)------------------------------
% 26.74/4.12 % (3587095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.74/4.12 % (3587095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.74/4.12 % (3587095)CaDiCaL version: 2.1.3
% 26.74/4.12 % (3587095)Termination reason: Instruction limit
% 26.74/4.12 % (3587095)Termination phase: Saturation
% 26.74/4.12 % (3587095)Time elapsed: 0.155 s
% 26.74/4.12 % (3587095)Peak memory usage: 12 MB
% 26.74/4.12 % (3587095)Instructions burned: 441 (million)
% 26.74/4.12 % (3587101)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 26.74/4.12 % (3587101)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=430459150:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2966 on theBenchmark for (2966ds/376Mi)
% 26.74/4.12 % (3587102)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=2200649835:i=965:bd=all:ins=4:rtra=on_2966 on theBenchmark for (2966ds/965Mi)
% 26.74/4.12 % (3587077)Instruction limit reached!
% 26.74/4.12 % (3587077)------------------------------
% 26.74/4.12 % (3587077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.74/4.12 % (3587077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.74/4.12 % (3587077)CaDiCaL version: 2.1.3
% 26.74/4.12 % (3587077)Termination reason: Instruction limit
% 26.74/4.12 % (3587077)Termination phase: Saturation
% 26.74/4.12 % (3587077)Time elapsed: 0.428 s
% 26.74/4.12 % (3587077)Peak memory usage: 14 MB
% 26.74/4.12 % (3587077)Instructions burned: 1000 (million)
% 26.74/4.12 % (3587105)lrs+10_1_sil=128000:si=on:urr=on:random_seed=718604264:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2965 on theBenchmark for (2965ds/5013Mi)
% 26.74/4.12 % (3587105)Refutation not found, incomplete strategy
% 26.74/4.12 % (3587105)------------------------------
% 26.74/4.12 % (3587105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.74/4.12 % (3587105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.74/4.12 % (3587105)CaDiCaL version: 2.1.3
% 26.74/4.12 % (3587105)Termination reason: Refutation not found, incomplete strategy
% 26.74/4.12 % (3587105)Time elapsed: 0.001 s
% 26.74/4.12 % (3587105)Peak memory usage: 11 MB
% 26.74/4.12 % (3587105)------------------------------
% 26.74/4.12 % (3587105)------------------------------
% 26.74/4.12 % (3587107)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3229149004:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2964 on theBenchmark for (2964ds/1583Mi)
% 26.74/4.12 % (3587092)Instruction limit reached!
% 26.74/4.12 % (3587092)------------------------------
% 26.74/4.12 % (3587092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.74/4.12 % (3587092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.74/4.12 % (3587092)CaDiCaL version: 2.1.3
% 26.74/4.12 % (3587092)Termination reason: Instruction limit
% 26.74/4.12 % (3587092)Termination phase: Saturation
% 26.74/4.12 % (3587092)Time elapsed: 0.396 s
% 26.74/4.12 % (3587092)Peak memory usage: 13 MB
% 26.74/4.12 % (3587092)Instructions burned: 1727 (million)
% 26.74/4.12 % (3587109)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 26.74/4.12 % (3587109)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 26.74/4.12 % (3587109)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 26.74/4.12 % (3587109)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 26.74/4.12 % (3587101)Instruction limit reached!
% 26.74/4.12 % (3587101)------------------------------
% 26.74/4.12 % (3587101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.74/4.12 % (3587101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.74/4.12 % (3587101)CaDiCaL version: 2.1.3
% 26.74/4.12 % (3587101)Termination reason: Instruction limit
% 28.70/4.46 % (3587101)Termination phase: Saturation
% 28.70/4.46 % (3587101)Time elapsed: 0.195 s
% 28.70/4.46 % (3587101)Peak memory usage: 14 MB
% 28.70/4.46 % (3587101)Instructions burned: 377 (million)
% 28.70/4.46 % (3587109)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=169839909:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2964 on theBenchmark for (2964ds/1774Mi)
% 28.70/4.46 % (3587109)Refutation not found, incomplete strategy
% 28.70/4.46 % (3587109)------------------------------
% 28.70/4.46 % (3587109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.70/4.46 % (3587109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.70/4.46 % (3587109)CaDiCaL version: 2.1.3
% 28.70/4.46 % (3587109)Termination reason: Refutation not found, incomplete strategy
% 28.70/4.46 % (3587109)Time elapsed: 0.0000 s
% 28.70/4.46 % (3587109)Peak memory usage: 11 MB
% 28.70/4.46 % (3587109)------------------------------
% 28.70/4.46 % (3587109)------------------------------
% 28.70/4.46 % (3587112)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 28.70/4.46 % (3587112)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=627442583:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2964 on theBenchmark for (2964ds/1297Mi)
% 28.70/4.46 % (3587111)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3979578572:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2964 on theBenchmark for (2964ds/515Mi)
% 28.70/4.46 % (3586844)Instruction limit reached!
% 28.70/4.46 % (3586844)------------------------------
% 28.70/4.46 % (3586844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.70/4.46 % (3586844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.70/4.46 % (3586844)CaDiCaL version: 2.1.3
% 28.70/4.46 % (3586844)Termination reason: Instruction limit
% 28.70/4.46 % (3586844)Termination phase: Saturation
% 28.70/4.46 % (3586844)Time elapsed: 2.978 s
% 28.70/4.46 % (3586844)Peak memory usage: 17 MB
% 28.70/4.46 % (3586844)Instructions burned: 9843 (million)
% 28.70/4.46 % (3587111)Refutation not found, incomplete strategy
% 28.70/4.46 % (3587111)------------------------------
% 28.70/4.46 % (3587111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.70/4.46 % (3587111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.70/4.46 % (3587111)CaDiCaL version: 2.1.3
% 28.70/4.46 % (3587111)Termination reason: Refutation not found, incomplete strategy
% 28.70/4.46 % (3587111)Time elapsed: 0.001 s
% 28.70/4.46 % (3587111)Peak memory usage: 12 MB
% 28.70/4.46 % (3587111)------------------------------
% 28.70/4.46 % (3587111)------------------------------
% 28.70/4.46 % (3587116)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 28.70/4.46 % (3587115)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=1818787832:s2a=on:i=611:rtra=on:gsp=on_2964 on theBenchmark for (2964ds/611Mi)
% 28.70/4.46 % (3587116)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2958213810:i=72:bd=all:rtra=on_2964 on theBenchmark for (2964ds/72Mi)
% 28.70/4.46 % (3587115)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 28.70/4.46 % (3587116)Refutation not found, incomplete strategy
% 28.70/4.46 % (3587116)------------------------------
% 28.70/4.46 % (3587116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.70/4.46 % (3587116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.70/4.46 % (3587116)CaDiCaL version: 2.1.3
% 28.70/4.46 % (3587116)Termination reason: Refutation not found, incomplete strategy
% 28.70/4.46 % (3587116)Time elapsed: 0.001 s
% 28.70/4.46 % (3587116)Peak memory usage: 11 MB
% 28.70/4.46 % (3587116)Instructions burned: 1 (million)
% 28.70/4.46 % (3587116)------------------------------
% 28.70/4.46 % (3587116)------------------------------
% 28.70/4.46 % (3587119)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=1283654341:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2963 on theBenchmark for (2963ds/6580Mi)
% 28.70/4.46 % (3587102)Instruction limit reached!
% 28.70/4.46 % (3587102)------------------------------
% 28.70/4.46 % (3587102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.70/4.46 % (3587102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.70/4.46 % (3587102)CaDiCaL version: 2.1.3
% 28.70/4.46 % (3587102)Termination reason: Instruction limit
% 28.70/4.46 % (3587102)Termination phase: Saturation
% 28.70/4.46 % (3587102)Time elapsed: 0.388 s
% 28.70/4.46 % (3587102)Peak memory usage: 15 MB
% 28.70/4.46 % (3587102)Instructions burned: 966 (million)
% 28.70/4.46 % (3587121)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2157279532:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/6209Mi)
% 28.70/4.46 % (3587121)Refutation not found, incomplete strategy
% 28.70/4.46 % (3587121)------------------------------
% 28.70/4.46 % (3587121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.70/4.46 % (3587121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.70/4.46 % (3587121)CaDiCaL version: 2.1.3
% 28.70/4.46 % (3587121)Termination reason: Refutation not found, incomplete strategy
% 28.70/4.46 % (3587121)Time elapsed: 0.001 s
% 28.70/4.46 % (3587121)Peak memory usage: 12 MB
% 28.70/4.46 % (3587121)------------------------------
% 28.70/4.46 % (3587121)------------------------------
% 28.70/4.46 % (3587123)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=3441573582:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2962 on theBenchmark for (2962ds/1003Mi)
% 28.70/4.46 % (3587115)Instruction limit reached!
% 28.70/4.46 % (3587115)------------------------------
% 28.70/4.46 % (3587115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.70/4.46 % (3587115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.70/4.46 % (3587115)CaDiCaL version: 2.1.3
% 28.70/4.46 % (3587115)Termination reason: Instruction limit
% 28.70/4.46 % (3587115)Termination phase: Saturation
% 28.70/4.46 % (3587115)Time elapsed: 0.226 s
% 28.70/4.46 % (3587115)Peak memory usage: 13 MB
% 28.70/4.46 % (3587115)Instructions burned: 613 (million)
% 28.70/4.46 % (3587125)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 28.70/4.46 % (3587112)Instruction limit reached!
% 28.70/4.46 % (3587112)------------------------------
% 28.70/4.46 % (3587112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.70/4.46 % (3587112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.70/4.46 % (3587112)CaDiCaL version: 2.1.3
% 28.70/4.46 % (3587112)Termination reason: Instruction limit
% 28.70/4.46 % (3587112)Termination phase: Saturation
% 28.70/4.46 % (3587112)Time elapsed: 0.269 s
% 28.70/4.46 % (3587112)Peak memory usage: 13 MB
% 28.70/4.46 % (3587112)Instructions burned: 1301 (million)
% 28.70/4.46 % (3587125)ott+1002_16_sil=128000:si=on:random_seed=741539741:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2961 on theBenchmark for (2961ds/409Mi)
% 28.70/4.46 % (3587126)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=1577297091:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2961 on theBenchmark for (2961ds/403Mi)
% 28.70/4.46 % (3587126)Refutation not found, incomplete strategy
% 28.70/4.46 % (3587126)------------------------------
% 28.70/4.46 % (3587126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.70/4.46 % (3587126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.70/4.46 % (3587126)CaDiCaL version: 2.1.3
% 28.70/4.46 % (3587126)Termination reason: Refutation not found, incomplete strategy
% 28.70/4.46 % (3587126)Time elapsed: 0.001 s
% 28.70/4.46 % (3587126)Peak memory usage: 11 MB
% 28.70/4.46 % (3587126)Instructions burned: 1 (million)
% 28.70/4.46 % (3587126)------------------------------
% 28.70/4.46 % (3587126)------------------------------
% 28.70/4.46 % (3587129)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=3999064606:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2961 on theBenchmark for (2961ds/6843Mi)
% 28.70/4.46 % (3587129)Refutation not found, incomplete strategy
% 28.70/4.46 % (3587129)------------------------------
% 28.70/4.46 % (3587129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.70/4.46 % (3587129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.70/4.46 % (3587129)CaDiCaL version: 2.1.3
% 28.70/4.46 % (3587129)Termination reason: Refutation not found, incomplete strategy
% 28.70/4.46 % (3587129)Time elapsed: 0.0000 s
% 28.70/4.46 % (3587129)Peak memory usage: 11 MB
% 28.70/4.46 % (3587129)Instructions burned: 1 (million)
% 28.70/4.46 % (3587129)------------------------------
% 28.70/4.46 % (3587129)------------------------------
% 28.70/4.46 % (3587131)lrs+10_2:1_si=on:random_seed=1448797927:s2a=on:i=506:rtra=on:fe=abstraction_2961 on theBenchmark for (2961ds/506Mi)
% 28.70/4.46 % (3587131)Instruction limit reached!
% 28.70/4.46 % (3587131)------------------------------
% 28.70/4.46 % (3587131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.70/4.46 % (3587131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.70/4.46 % (3587131)CaDiCaL version: 2.1.3
% 28.70/4.46 % (3587131)Termination reason: Instruction limit
% 28.70/4.46 % (3587131)Termination phase: Saturation
% 28.70/4.46 % (3587131)Time elapsed: 0.118 s
% 28.70/4.46 % (3587131)Peak memory usage: 13 MB
% 28.70/4.46 % (3587131)Instructions burned: 510 (million)
% 28.70/4.46 % (3587125)Instruction limit reached!
% 28.70/4.46 % (3587125)------------------------------
% 28.70/4.46 % (3587125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.70/4.46 % (3587125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.70/4.46 % (3587125)CaDiCaL version: 2.1.3
% 28.70/4.46 % (3587125)Termination reason: Instruction limit
% 28.70/4.46 % (3587125)Termination phase: Saturation
% 28.70/4.46 % (3587125)Time elapsed: 0.151 s
% 28.70/4.46 % (3587125)Peak memory usage: 13 MB
% 28.70/4.46 % (3587125)Instructions burned: 409 (million)
% 28.70/4.46 % (3587133)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=3383100103:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2960 on theBenchmark for (2960ds/888Mi)
% 28.70/4.46 % (3587134)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 28.70/4.46 % (3587134)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=510135205:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2960 on theBenchmark for (2960ds/416Mi)
% 28.70/4.46 % (3586995) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3586674-3586995"...
% 28.70/4.46 % (3587133)Instruction limit reached!
% 28.70/4.46 % (3587133)------------------------------
% 28.70/4.46 % (3587133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.70/4.46 % (3587133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.70/4.46 % (3587133)CaDiCaL version: 2.1.3
% 28.70/4.46 % (3587133)Termination reason: Instruction limit
% 28.70/4.46 % (3587133)Termination phase: Saturation
% 28.70/4.46 % (3587133)Time elapsed: 0.192 s
% 28.70/4.46 % (3587133)Peak memory usage: 12 MB
% 28.70/4.46 % (3587133)Instructions burned: 893 (million)
% 28.70/4.46 % (3586995)...printing done.
% 28.70/4.46 % (3586995)Refutation found. Thanks to Tanya!
% 28.70/4.46 % SZS status Unsatisfiable for theBenchmark
% 28.70/4.46 % SZS output start Proof for theBenchmark
% See solution above
% 29.90/4.51 % (3586995)------------------------------
% 29.90/4.51 % (3586995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.90/4.51 % (3586995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.90/4.51 % (3586995)CaDiCaL version: 2.1.3
% 29.90/4.51 % (3586995)Termination reason: Refutation
% 29.90/4.51 % (3586995)Time elapsed: 2.275 s
% 29.90/4.51 % (3586995)Peak memory usage: 21 MB
% 29.90/4.51 % (3586995)Instructions burned: 4595 (million)
% 29.90/4.51 % (3586674)Success in time 4.23 s
% 29.90/4.51 % Vampire exiting
%------------------------------------------------------------------------------