%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA138^1 : 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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:57:27 AM UTC 2026
% Result : Unsatisfiable 20.63s 3.70s
% Output : Refutation 20.63s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X1: $i,X0: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X3: $i,X0: $i,X1: $i,X2: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X0: $i,X3: $i,X1: $i,X2: $i] :
( ~ ( b @ X0 @ X2 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X1 @ X2 )
| ~ ( 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] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i] :
( ( r @ X1 @ X0 )
| ( b @ X1 @ X0 )
| ( X0 = X1 ) ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ X1 @ X0 )
= $true )
| ( ( b @ X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X0 @ X3 )
| ~ ( b @ X3 @ X1 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X2 ) ),
inference(rectify,[],[f7]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( b @ X0 @ X3 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X2 @ X3 )
| ~ ( r @ X3 @ X0 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X1 @ X2 ) ),
inference(rectify,[],[f6]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( $true
!= ( r @ X1 @ X3 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f19,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f20,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f11]) ).
thf(f21,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) ) ),
inference(flattening,[],[f15]) ).
thf(f22,plain,
! [X1: $i,X3: $i,X2: $i,X0: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X1 @ X3 ) )
| ( $true
!= ( r @ X3 @ X0 ) ) ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ X3 ) ) ),
inference(rectify,[],[f22]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(rectify,[],[f21]) ).
thf(f25,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X3 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f26,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f27,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f28,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f29,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f30,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f31,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f34,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f30,f31]) ).
thf(f35,plain,
! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f30,f31]) ).
thf(f36,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f30,f26]) ).
thf(f39,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f27,f30]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f27,f34]) ).
thf(f42,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f46,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f27,f35]) ).
thf(f48,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(trivial_inequality_removal,[],[f46]) ).
thf(f54,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f31]) ).
thf(f55,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f36,f31]) ).
thf(f56,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f36,f26]) ).
thf(f64,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f48,f54]) ).
thf(f65,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f42,f54]) ).
thf(f66,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f27,f54]) ).
thf(f67,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f65]) ).
thf(f68,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f66]) ).
thf(f69,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f64]) ).
thf(f71,definition,
( spl0_1
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f72,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_1 ),
inference(avatar_component_clause,[],[f71]) ).
thf(f74,definition,
( spl0_2
<=> ! [X1: $i] :
( $true
!= ( b @ ( s @ z ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f75,plain,
( ! [X1: $i] :
( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f74]) ).
thf(f77,definition,
( spl0_3
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f78,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f77]) ).
thf(f79,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f67,f77,f74,f71]) ).
thf(f81,definition,
( spl0_4
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f82,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f81]) ).
thf(f83,plain,
( ~ spl0_1
| spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f69,f74,f81,f71]) ).
thf(f84,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| spl0_1 ),
inference(constrained_superposition,[],[f72,f34]) ).
thf(f87,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_1 ),
inference(trivial_inequality_removal,[],[f84]) ).
thf(f89,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| spl0_1 ),
inference(constrained_superposition,[],[f25,f87]) ).
thf(f90,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl0_1 ),
inference(trivial_inequality_removal,[],[f89]) ).
thf(f92,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) ),
inference(constrained_superposition,[],[f68,f35]) ).
thf(f96,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f92]) ).
thf(f101,definition,
( spl0_5
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f102,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_5 ),
inference(avatar_component_clause,[],[f101]) ).
thf(f104,definition,
( spl0_6
<=> ! [X1: $i] :
( ( b @ z @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f105,plain,
( ! [X1: $i] :
( ( b @ z @ X1 )
!= $true )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f104]) ).
thf(f106,plain,
( ~ spl0_5
| spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f96,f81,f104,f101]) ).
thf(f107,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_5 ),
inference(constrained_superposition,[],[f102,f35]) ).
thf(f110,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_5 ),
inference(trivial_inequality_removal,[],[f107]) ).
thf(f122,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f27,f55]) ).
thf(f123,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f122]) ).
thf(f138,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X3 )
= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( X2 = X3 )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f40,f30]) ).
thf(f139,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( X1 = X2 )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(constrained_superposition,[],[f40,f34]) ).
thf(f143,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( X1 = X2 ) ),
inference(constrained_superposition,[],[f40,f55]) ).
thf(f144,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( X2 = X3 )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( r @ X2 @ X3 )
= $true ) ),
inference(trivial_inequality_removal,[],[f138]) ).
thf(f146,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( X1 = X2 ) ),
inference(trivial_inequality_removal,[],[f143]) ).
thf(f149,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( X1 = X2 )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f139]) ).
thf(f151,definition,
( spl0_7
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f152,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f151]) ).
thf(f154,definition,
( spl0_8
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( X1 = X2 )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f155,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( X1 = X2 )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f154]) ).
thf(f156,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f146,f154,f151]) ).
thf(f158,definition,
( spl0_9
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( X1 = X2 )
| ( $true
!= ( b @ X2 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f159,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X2 ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f158]) ).
thf(f161,definition,
( spl0_10
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f162,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f161]) ).
thf(f163,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f149,f161,f158]) ).
thf(f164,plain,
( ! [X2: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f25,f152]) ).
thf(f165,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f164]) ).
thf(f170,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( b @ X1 @ z )
!= $true )
| ( X0 = X1 ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f159,f30]) ).
thf(f172,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( z = X0 )
| ( ( r @ X1 @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f170]) ).
thf(f174,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( z = X0 ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f172,f30]) ).
thf(f177,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( X0 = X1 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( z = X0 ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f174]) ).
thf(f178,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X2 )
| ( $true
= ( r @ X2 @ z ) )
| ( z = X2 )
| ( z = X0 )
| ( $true
= ( r @ X2 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ X0 )
!= $true ) )
| spl0_1
| ~ spl0_9 ),
inference(constrained_superposition,[],[f90,f177]) ).
thf(f183,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( X0 = X2 )
| ( z = X2 )
| ( $true
= ( r @ X2 @ z ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X2 @ X0 ) ) )
| spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f178]) ).
thf(f202,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
= $true )
| ( $true != $true )
| ( X0 = X2 )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X1 = X3 )
| ( $true
= ( r @ X1 @ X3 ) )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f144,f30]) ).
thf(f204,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X2 )
| ( ( s @ X0 )
= X1 )
| ( ( r @ z @ X2 )
= $true ) ),
inference(constrained_superposition,[],[f144,f35]) ).
thf(f211,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ X2 )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( s @ X0 )
= X1 )
| ( z = X2 )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(trivial_inequality_removal,[],[f204]) ).
thf(f213,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( X0 = X2 )
| ( $true
= ( r @ X1 @ X3 ) )
| ( X0 = X1 )
| ( X1 = X3 )
| ( ( r @ X0 @ X2 )
= $true )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f202]) ).
thf(f215,definition,
( spl0_11
<=> ! [X2: $i] :
( ( ( r @ ( s @ z ) @ X2 )
= $true )
| ( ( s @ z )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f216,plain,
( ! [X2: $i] :
( ( ( r @ ( s @ z ) @ X2 )
= $true )
| ( ( s @ z )
= X2 ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f215]) ).
thf(f222,definition,
( spl0_13
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( s @ X0 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f223,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f222]) ).
thf(f225,definition,
( spl0_14
<=> ! [X2: $i] :
( ( ( r @ z @ X2 )
= $true )
| ( z = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f226,plain,
( ! [X2: $i] :
( ( ( r @ z @ X2 )
= $true )
| ( z = X2 ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f225]) ).
thf(f227,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f211,f225,f222]) ).
thf(f232,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( r @ ( s @ X1 ) @ X0 )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f223,f30]) ).
thf(f234,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ ( s @ X1 ) @ X0 )
= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f232]) ).
thf(f266,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f56,f31]) ).
thf(f282,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ X2 @ X0 ) )
| ( $true
= ( r @ X1 @ X3 ) )
| ( X1 = X2 )
| ( X0 = X2 )
| ( X1 = X3 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f213,f30]) ).
thf(f284,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X2 )
| ( ( s @ X0 )
= X1 )
| ( ( r @ z @ X2 )
= $true )
| ( $true
= ( r @ X1 @ z ) )
| ( $true != $true )
| ( z = X1 )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) ) ),
inference(constrained_superposition,[],[f213,f35]) ).
thf(f292,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 )
| ( z = X2 )
| ( ( r @ z @ X2 )
= $true )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ X1 @ z ) )
| ( ( s @ X0 )
= X1 ) ),
inference(trivial_inequality_removal,[],[f284]) ).
thf(f295,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X2 @ X0 ) )
| ( X0 = X1 )
| ( X1 = X3 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X2 @ X1 )
= $true )
| ( X0 = X2 )
| ( X1 = X2 )
| ( $true
= ( r @ X1 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f282]) ).
thf(f296,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X1 @ X0 )
= $true )
| ( X0 = X1 ) )
| spl0_1
| spl0_5
| ~ spl0_9 ),
inference(constrained_superposition,[],[f183,f110]) ).
thf(f302,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( ( r @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( z = X0 ) )
| spl0_1
| spl0_5
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f296]) ).
thf(f307,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ X1 @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ ( s @ X0 ) )
= X1 ) )
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(constrained_superposition,[],[f302,f152]) ).
thf(f308,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( r @ X1 @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true != $true ) )
| spl0_1
| spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(constrained_superposition,[],[f302,f216]) ).
thf(f310,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
= $true ) )
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f307]) ).
thf(f312,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( z = X0 )
| ( ( r @ X1 @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X1 )
| ( X0 = X1 ) )
| spl0_1
| spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f308]) ).
thf(f313,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( ( s @ ( s @ X0 ) )
= X1 ) )
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f310,f31]) ).
thf(f315,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( r @ X0 @ X2 )
= $true )
| ( ( s @ z )
= X2 )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( X0 = X2 )
| ( z = X2 ) )
| spl0_1
| spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(constrained_superposition,[],[f90,f312]) ).
thf(f319,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( z = X0 )
| ( z = X2 )
| ( ( s @ z )
= X2 )
| ( ( r @ X0 @ X2 )
= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( X0 = X2 ) )
| spl0_1
| spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f315]) ).
thf(f323,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( s @ ( s @ X1 ) )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( $true
!= ( r @ X3 @ X0 ) ) )
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(constrained_superposition,[],[f25,f313]) ).
thf(f326,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ X1 ) )
= X0 )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X2 @ X3 )
!= $true ) )
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f323]) ).
thf(f327,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ X1 ) )
= X0 )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X2 @ X3 )
!= $true ) )
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f326,f25]) ).
thf(f357,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( z = X1 )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X1 )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) )
| spl0_1
| spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(constrained_superposition,[],[f319,f110]) ).
thf(f365,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X1 )
| ( X0 = X1 )
| ( z = X1 )
| ( ( r @ X0 @ X1 )
= $true ) )
| spl0_1
| spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f357]) ).
thf(f371,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( z = X0 )
| ( X0 = X1 )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X1 ) )
| spl0_1
| spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(constrained_superposition,[],[f365,f216]) ).
thf(f374,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( z = X0 )
| ( X0 = X1 )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( ( s @ z )
= X0 ) )
| spl0_1
| spl0_5
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f371]) ).
thf(f379,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ z )
= X1 )
| ( z = X0 )
| ( z = X1 )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( X0 = X1 )
| ( ( s @ ( s @ X2 ) )
= X1 )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( z = X1 ) )
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(constrained_superposition,[],[f327,f374]) ).
thf(f382,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ X2 ) )
= X1 )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X1 )
| ( ( s @ z )
= X1 )
| ( X0 = X1 ) )
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f379]) ).
thf(f383,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( ( s @ z )
= X0 )
| ( X0 = X1 )
| ( ( s @ ( s @ X2 ) )
= X1 )
| ( z = X0 )
| ( ( s @ z )
= X1 )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( z = X1 ) )
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f382]) ).
thf(f437,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( z = X1 )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( X0 = X1 )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ X2 ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(constrained_superposition,[],[f383,f216]) ).
thf(f449,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( X0 = X1 )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ X2 ) )
= X0 )
| ( $true != $true )
| ( z = X1 ) )
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f437]) ).
thf(f450,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ ( s @ X2 ) )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X1 )
| ( ( s @ z )
= X0 )
| ( X0 = X1 )
| ( z = X1 ) )
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f449]) ).
thf(f454,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ X2 ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( X0 = X1 )
| ( ( s @ z )
= X1 )
| ( z = X1 ) )
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f450,f216]) ).
thf(f539,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( X0 = X2 )
| ( ( s @ z )
= X2 )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ X1 ) )
!= X2 )
| ( z = X2 ) )
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(equality_factoring,[],[f454]) ).
thf(f553,plain,
( ! [X2: $i,X0: $i] :
( ( ( s @ z )
= X2 )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( z = X2 )
| ( X0 = X2 ) )
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f539,f454]) ).
thf(f556,definition,
( spl0_15
<=> ! [X2: $i,X0: $i] :
( ( ( s @ z )
= X2 )
| ( z = X0 )
| ( z = X2 )
| ( ( s @ z )
= X0 )
| ( X0 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f557,plain,
( ! [X2: $i,X0: $i] :
( ( ( s @ z )
= X2 )
| ( ( s @ z )
= X0 )
| ( X0 = X2 )
| ( z = X0 )
| ( z = X2 ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f556]) ).
thf(f566,plain,
( spl0_15
| spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f553,f215,f158,f151,f101,f71,f556]) ).
thf(f568,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f75,f35]) ).
thf(f574,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f568]) ).
thf(f589,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f68,f266]) ).
thf(f590,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f48,f266]) ).
thf(f591,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f42,f266]) ).
thf(f595,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f27,f266]) ).
thf(f598,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f591]) ).
thf(f600,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f590]) ).
thf(f601,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f589]) ).
thf(f602,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f595]) ).
thf(f605,definition,
( spl0_17
<=> ! [X2: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( s @ ( s @ z ) )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f606,plain,
( ! [X2: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( s @ ( s @ z ) )
= X2 ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f605]) ).
thf(f612,definition,
( spl0_19
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f613,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f612]) ).
thf(f615,definition,
( spl0_20
<=> ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f616,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_20 ),
inference(avatar_component_clause,[],[f615]) ).
thf(f618,definition,
( spl0_21
<=> ! [X1: $i] :
( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f619,plain,
( ! [X1: $i] :
( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f618]) ).
thf(f620,plain,
( spl0_19
| ~ spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f598,f618,f615,f612]) ).
thf(f622,definition,
( spl0_22
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f623,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f622]) ).
thf(f624,plain,
( spl0_22
| spl0_21
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f600,f615,f618,f622]) ).
thf(f629,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_20 ),
inference(constrained_superposition,[],[f616,f34]) ).
thf(f631,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_20 ),
inference(trivial_inequality_removal,[],[f629]) ).
thf(f634,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl0_20 ),
inference(constrained_superposition,[],[f25,f631]) ).
thf(f635,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| spl0_20 ),
inference(trivial_inequality_removal,[],[f634]) ).
thf(f653,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) ),
inference(constrained_superposition,[],[f602,f54]) ).
thf(f655,plain,
! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f602,f35]) ).
thf(f663,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f653]) ).
thf(f664,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f655]) ).
thf(f666,definition,
( spl0_24
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f667,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_24 ),
inference(avatar_component_clause,[],[f666]) ).
thf(f668,plain,
( ~ spl0_24
| spl0_22
| spl0_6 ),
inference(avatar_split_clause,[],[f664,f104,f622,f666]) ).
thf(f669,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_24 ),
inference(constrained_superposition,[],[f667,f35]) ).
thf(f671,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_24 ),
inference(trivial_inequality_removal,[],[f669]) ).
thf(f674,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| spl0_20
| spl0_24 ),
inference(constrained_superposition,[],[f635,f671]) ).
thf(f676,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| spl0_20
| spl0_24 ),
inference(trivial_inequality_removal,[],[f674]) ).
thf(f679,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_7
| spl0_20
| spl0_24 ),
inference(constrained_superposition,[],[f676,f152]) ).
thf(f688,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_7
| spl0_20
| spl0_24 ),
inference(trivial_inequality_removal,[],[f679]) ).
thf(f696,definition,
( spl0_25
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f697,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f696]) ).
thf(f703,definition,
( spl0_27
<=> ! [X0: $i] : ( z = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f704,plain,
( ! [X0: $i] : ( z = X0 )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f703]) ).
thf(f707,definition,
( spl0_28
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f708,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f707]) ).
thf(f711,definition,
( spl0_29
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f712,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f711]) ).
thf(f713,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_28 ),
inference(avatar_component_clause,[],[f707]) ).
thf(f715,plain,
( spl0_28
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f574,f74,f707]) ).
thf(f718,definition,
( spl0_30
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f719,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f718]) ).
thf(f721,definition,
( spl0_31
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f722,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_31 ),
inference(avatar_component_clause,[],[f721]) ).
thf(f723,plain,
( spl0_30
| ~ spl0_31
| spl0_21 ),
inference(avatar_split_clause,[],[f601,f618,f721,f718]) ).
thf(f725,definition,
( spl0_32
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f726,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_32 ),
inference(avatar_component_clause,[],[f725]) ).
thf(f727,plain,
( spl0_30
| ~ spl0_32
| spl0_2 ),
inference(avatar_split_clause,[],[f663,f74,f725,f718]) ).
thf(f737,definition,
( spl0_35
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f738,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( ( s @ X0 )
= X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f737]) ).
thf(f739,plain,
( spl0_14
| spl0_35 ),
inference(avatar_split_clause,[],[f292,f737,f225]) ).
thf(f744,plain,
( ~ spl0_28
| ~ spl0_7
| spl0_20
| spl0_24 ),
inference(avatar_split_clause,[],[f688,f666,f615,f151,f707]) ).
thf(f761,definition,
( spl0_36
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f762,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f761]) ).
thf(f769,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f75,f30]) ).
thf(f770,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f769]) ).
thf(f774,plain,
( spl0_11
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f770,f74,f215]) ).
thf(f775,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f25,f708]) ).
thf(f776,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f775]) ).
thf(f777,plain,
( spl0_25
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f776,f707,f696]) ).
thf(f778,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f619,f54]) ).
thf(f782,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f619,f30]) ).
thf(f783,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f778]) ).
thf(f786,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f782]) ).
thf(f788,plain,
( spl0_36
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f783,f618,f761]) ).
thf(f789,plain,
( spl0_17
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f786,f618,f605]) ).
thf(f790,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_20 ),
inference(constrained_superposition,[],[f616,f34]) ).
thf(f793,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_20 ),
inference(trivial_inequality_removal,[],[f790]) ).
thf(f802,plain,
( spl0_25
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f165,f151,f696]) ).
thf(f807,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ z ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f25,f226]) ).
thf(f811,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( z = X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ z ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f807]) ).
thf(f828,definition,
( spl0_37
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f829,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f828]) ).
thf(f833,definition,
( spl0_38
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f834,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_38 ),
inference(avatar_component_clause,[],[f833]) ).
thf(f837,definition,
( spl0_39
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f838,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f837]) ).
thf(f881,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f105,f34]) ).
thf(f882,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f105,f30]) ).
thf(f883,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f882]) ).
thf(f884,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f881]) ).
thf(f929,definition,
( spl0_41
<=> ! [X0: $i] :
( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f930,plain,
( ! [X0: $i] :
( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f929]) ).
thf(f962,definition,
( spl0_42
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f963,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f962]) ).
thf(f972,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f619,f56]) ).
thf(f973,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f619,f35]) ).
thf(f979,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f972]) ).
thf(f980,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f973]) ).
thf(f986,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f25,f762]) ).
thf(f987,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f986]) ).
thf(f988,plain,
( spl0_39
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f987,f761,f837]) ).
thf(f1082,plain,
( spl0_10
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f884,f104,f161]) ).
thf(f1085,definition,
( spl0_44
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X2 @ z ) )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f1086,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ z ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f1085]) ).
thf(f1087,plain,
( spl0_44
| spl0_27
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f811,f225,f703,f1085]) ).
thf(f1092,definition,
( spl0_46
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f1093,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_46 ),
inference(avatar_component_clause,[],[f1092]) ).
thf(f1095,plain,
( spl0_14
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f883,f104,f225]) ).
thf(f1097,plain,
( $false
| ~ spl0_21
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f834,f980]) ).
thf(f1098,plain,
( ~ spl0_21
| spl0_38 ),
inference(avatar_contradiction_clause,[],[f1097]) ).
thf(f1123,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f54,f704]) ).
thf(f1179,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1123,f29]) ).
thf(f1189,plain,
( $false
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1179,f28]) ).
thf(f1190,plain,
~ spl0_27,
inference(avatar_contradiction_clause,[],[f1189]) ).
thf(f1200,definition,
( spl0_49
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f1201,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f1200]) ).
thf(f1203,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_1 ),
inference(constrained_superposition,[],[f72,f34]) ).
thf(f1205,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_1 ),
inference(trivial_inequality_removal,[],[f1203]) ).
thf(f1207,plain,
( spl0_49
| spl0_1 ),
inference(avatar_split_clause,[],[f1205,f71,f1200]) ).
thf(f1209,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| spl0_5 ),
inference(constrained_superposition,[],[f102,f35]) ).
thf(f1211,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_5 ),
inference(trivial_inequality_removal,[],[f1209]) ).
thf(f1213,plain,
( spl0_28
| spl0_5 ),
inference(avatar_split_clause,[],[f1211,f101,f707]) ).
thf(f1218,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| spl0_20 ),
inference(constrained_superposition,[],[f25,f793]) ).
thf(f1219,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl0_20 ),
inference(trivial_inequality_removal,[],[f1218]) ).
thf(f1221,plain,
( spl0_44
| spl0_20 ),
inference(avatar_split_clause,[],[f1219,f615,f1085]) ).
thf(f1241,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X1 ) @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X1 ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_9 ),
inference(extensionality_resolution,[],[f159,f26]) ).
thf(f1246,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( s @ X0 )
= X1 )
| ( $true != $true )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f159,f35]) ).
thf(f1247,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1246]) ).
thf(f1253,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_3
| ~ spl0_25 ),
inference(constrained_superposition,[],[f697,f78]) ).
thf(f1255,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_3
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f1253]) ).
thf(f1258,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_3
| ~ spl0_21
| ~ spl0_25 ),
inference(constrained_superposition,[],[f1255,f979]) ).
thf(f1261,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_3
| ~ spl0_21
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f1258]) ).
thf(f1265,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_3
| ~ spl0_21
| ~ spl0_25
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1261,f762]) ).
thf(f1276,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ z ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_21
| ~ spl0_25
| ~ spl0_36 ),
inference(constrained_superposition,[],[f25,f1265]) ).
thf(f1277,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X2 @ z ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 ) )
| ~ spl0_3
| ~ spl0_21
| ~ spl0_25
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f1276]) ).
thf(f1278,plain,
( spl0_27
| spl0_44
| ~ spl0_3
| ~ spl0_21
| ~ spl0_25
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1277,f761,f696,f618,f77,f1085,f703]) ).
thf(f1279,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_36 ),
inference(avatar_component_clause,[],[f761]) ).
thf(f1284,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_3
| spl0_36 ),
inference(constrained_superposition,[],[f1279,f78]) ).
thf(f1288,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_3
| spl0_36 ),
inference(trivial_inequality_removal,[],[f1284]) ).
thf(f1297,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f55,f712]) ).
thf(f1335,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1297,f28]) ).
thf(f1348,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1335,f29]) ).
thf(f1349,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f1348]) ).
thf(f1358,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true ) )
| ~ spl0_3
| spl0_36 ),
inference(constrained_superposition,[],[f25,f1288]) ).
thf(f1360,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_3
| spl0_36 ),
inference(trivial_inequality_removal,[],[f1358]) ).
thf(f1362,plain,
( spl0_44
| ~ spl0_3
| spl0_36 ),
inference(avatar_split_clause,[],[f1360,f761,f77,f1085]) ).
thf(f1369,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f25,f1201]) ).
thf(f1371,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f1369]) ).
thf(f1372,plain,
( spl0_44
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1371,f1200,f1085]) ).
thf(f1373,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f75,f55]) ).
thf(f1375,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f75,f36]) ).
thf(f1379,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f1373]) ).
thf(f1380,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f1375]) ).
thf(f1381,plain,
( spl0_7
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1379,f74,f151]) ).
thf(f1402,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f25,f82]) ).
thf(f1403,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1402]) ).
thf(f1406,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1403,f25]) ).
thf(f1410,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_7 ),
inference(constrained_superposition,[],[f1406,f152]) ).
thf(f1413,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f1410]) ).
thf(f1445,definition,
( spl0_53
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f1446,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f1445]) ).
thf(f1449,definition,
( spl0_54
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f1450,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f1449]) ).
thf(f1559,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= X0 )
| ( z = X0 ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f1247,f30]) ).
thf(f1562,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1559]) ).
thf(f1563,plain,
( spl0_35
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1562,f158,f737]) ).
thf(f1566,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_35
| ~ spl0_37 ),
inference(constrained_superposition,[],[f829,f738]) ).
thf(f1571,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_35 ),
inference(constrained_superposition,[],[f697,f738]) ).
thf(f1579,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_35
| spl0_36 ),
inference(constrained_superposition,[],[f1279,f738]) ).
thf(f1589,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_35
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f1566]) ).
thf(f1602,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X1 @ X0 )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f1571]) ).
thf(f1603,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_35
| spl0_36 ),
inference(trivial_inequality_removal,[],[f1579]) ).
thf(f1617,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
!= ( b @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f1241,f35]) ).
thf(f1620,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1617]) ).
thf(f1625,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_37 ),
inference(constrained_superposition,[],[f829,f613]) ).
thf(f1626,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_19
| ~ spl0_39 ),
inference(constrained_superposition,[],[f838,f613]) ).
thf(f1628,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_19 ),
inference(constrained_superposition,[],[f1406,f613]) ).
thf(f1635,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f25,f613]) ).
thf(f1638,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1628]) ).
thf(f1640,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1635]) ).
thf(f1645,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f1626]) ).
thf(f1648,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f1625]) ).
thf(f1652,definition,
( spl0_56
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f1653,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f1652]) ).
thf(f1662,plain,
( spl0_56
| ~ spl0_19
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f1648,f828,f612,f1652]) ).
thf(f1664,definition,
( spl0_57
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f1665,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f1664]) ).
thf(f1700,plain,
( spl0_57
| ~ spl0_4
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1638,f612,f81,f1664]) ).
thf(f1701,plain,
( spl0_57
| ~ spl0_19
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1645,f837,f612,f1664]) ).
thf(f1704,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_57 ),
inference(constrained_superposition,[],[f1665,f152]) ).
thf(f1708,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f1704]) ).
thf(f1712,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_7
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f1708,f152]) ).
thf(f1716,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_57 ),
inference(constrained_superposition,[],[f1413,f1712]) ).
thf(f1730,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f1716]) ).
thf(f1733,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_49 ),
inference(avatar_component_clause,[],[f1200]) ).
thf(f1737,plain,
( ~ spl0_49
| ~ spl0_4
| ~ spl0_7
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f1730,f1664,f151,f81,f1200]) ).
thf(f1741,definition,
( spl0_60
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
thf(f1742,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f1741]) ).
thf(f1743,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f833]) ).
thf(f1744,plain,
( spl0_60
| spl0_38
| ~ spl0_35
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f1589,f828,f737,f833,f1741]) ).
thf(f1747,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f25,f1743]) ).
thf(f1748,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f1747]) ).
thf(f1749,plain,
( spl0_39
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1748,f833,f837]) ).
thf(f1750,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_13
| spl0_38 ),
inference(constrained_superposition,[],[f834,f234]) ).
thf(f1752,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( z = X0 )
| ( z
= ( s @ ( s @ z ) ) ) )
| spl0_38 ),
inference(constrained_superposition,[],[f834,f295]) ).
thf(f1753,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_13
| spl0_38 ),
inference(trivial_inequality_removal,[],[f1750]) ).
thf(f1755,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( z = X0 )
| ( z
= ( s @ ( s @ z ) ) )
| ( X0 = X1 ) )
| spl0_38 ),
inference(trivial_inequality_removal,[],[f1752]) ).
thf(f1757,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f1755,f31]) ).
thf(f1779,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_35
| ~ spl0_60 ),
inference(constrained_superposition,[],[f1742,f738]) ).
thf(f1782,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_35
| ~ spl0_60 ),
inference(duplicate_literal_removal,[],[f1779]) ).
thf(f1783,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_35
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f1782]) ).
thf(f1785,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_13
| spl0_38 ),
inference(constrained_superposition,[],[f25,f1753]) ).
thf(f1788,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_13
| ~ spl0_25
| spl0_38 ),
inference(constrained_superposition,[],[f697,f1753]) ).
thf(f1790,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_13
| spl0_38 ),
inference(trivial_inequality_removal,[],[f1785]) ).
thf(f1792,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_13
| ~ spl0_25
| spl0_38 ),
inference(trivial_inequality_removal,[],[f1788]) ).
thf(f1795,definition,
( spl0_61
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
thf(f1796,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f1795]) ).
thf(f1797,plain,
( spl0_39
| spl0_61
| ~ spl0_13
| spl0_38 ),
inference(avatar_split_clause,[],[f1790,f833,f222,f1795,f837]) ).
thf(f1799,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true != $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_61 ),
inference(constrained_superposition,[],[f25,f1796]) ).
thf(f1800,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f1799]) ).
thf(f1806,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= z )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_61 ),
inference(constrained_superposition,[],[f1800,f1380]) ).
thf(f1814,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f1806]) ).
thf(f1817,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f1814,f31]) ).
thf(f1852,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f25,f623]) ).
thf(f1853,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1852]) ).
thf(f1855,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1853,f25]) ).
thf(f1890,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f1620,f35]) ).
thf(f1893,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1890]) ).
thf(f1947,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X3 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ X3 ) )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_38 ),
inference(constrained_superposition,[],[f25,f1757]) ).
thf(f1961,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X3 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ X3 ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_38 ),
inference(trivial_inequality_removal,[],[f1947]) ).
thf(f1975,definition,
( spl0_62
<=> ! [X0: $i,X3: $i] :
( ( X0 = X3 )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ X0 @ X3 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
thf(f1976,plain,
( ! [X3: $i,X0: $i] :
( ( $true
= ( r @ X0 @ X3 ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( X0 = X3 ) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f1975]) ).
thf(f1977,plain,
( spl0_62
| spl0_39
| spl0_38 ),
inference(avatar_split_clause,[],[f1961,f833,f837,f1975]) ).
thf(f2042,definition,
( spl0_63
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
thf(f2043,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f2042]) ).
thf(f2171,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_63 ),
inference(constrained_superposition,[],[f266,f2043]) ).
thf(f2192,plain,
( ( ( s @ z )
!= ( s @ ( s @ z ) ) )
| spl0_29 ),
inference(avatar_component_clause,[],[f711]) ).
thf(f2205,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f2171,f29]) ).
thf(f2226,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f1092]) ).
thf(f2228,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f2205,f28]) ).
thf(f2238,plain,
( ! [X0: $i] :
( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f2228,f31]) ).
thf(f2243,plain,
( spl0_41
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f2238,f2042,f929]) ).
thf(f2245,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_9
| spl0_29 ),
inference(extensionality_resolution,[],[f1893,f2192]) ).
thf(f2248,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_9
| spl0_29 ),
inference(extensionality_resolution,[],[f1241,f2192]) ).
thf(f2262,definition,
( spl0_68
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f2263,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f2262]) ).
thf(f2265,definition,
( spl0_69
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f2266,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f2265]) ).
thf(f2270,definition,
( spl0_70
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
thf(f2271,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f2270]) ).
thf(f2273,definition,
( spl0_71
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f2274,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f2273]) ).
thf(f2276,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_9
| spl0_29
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f2245,f834]) ).
thf(f2278,definition,
( spl0_72
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
thf(f2279,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f2278]) ).
thf(f2281,definition,
( spl0_73
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f2282,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_73 ),
inference(avatar_component_clause,[],[f2281]) ).
thf(f2283,plain,
( spl0_72
| ~ spl0_24
| ~ spl0_73
| ~ spl0_9
| spl0_29 ),
inference(avatar_split_clause,[],[f2248,f711,f158,f2281,f666,f2278]) ).
thf(f2286,definition,
( spl0_74
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
thf(f2287,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f2286]) ).
thf(f2289,definition,
( spl0_75
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
thf(f2290,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f2289]) ).
thf(f2294,definition,
( spl0_76
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
thf(f2295,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f2294]) ).
thf(f2296,plain,
( spl0_76
| spl0_70
| ~ spl0_9
| spl0_29
| spl0_38 ),
inference(avatar_split_clause,[],[f2276,f833,f711,f158,f2270,f2294]) ).
thf(f2323,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f266,f930]) ).
thf(f2386,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2323,f28]) ).
thf(f2409,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2386,f29]) ).
thf(f2410,plain,
~ spl0_41,
inference(avatar_contradiction_clause,[],[f2409]) ).
thf(f2423,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| spl0_73 ),
inference(constrained_superposition,[],[f2282,f35]) ).
thf(f2425,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_73 ),
inference(trivial_inequality_removal,[],[f2423]) ).
thf(f2427,plain,
( spl0_76
| spl0_73 ),
inference(avatar_split_clause,[],[f2425,f2281,f2294]) ).
thf(f2434,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_70 ),
inference(constrained_superposition,[],[f1640,f2271]) ).
thf(f2438,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_70 ),
inference(constrained_superposition,[],[f25,f2271]) ).
thf(f2443,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f2438]) ).
thf(f2446,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f2434]) ).
thf(f2448,plain,
( spl0_39
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f2443,f2270,f837]) ).
thf(f2450,definition,
( spl0_77
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
thf(f2451,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f2450]) ).
thf(f2453,definition,
( spl0_78
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
thf(f2454,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f2453]) ).
thf(f2455,plain,
( spl0_77
| spl0_78
| ~ spl0_19
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f2446,f2270,f612,f2453,f2450]) ).
thf(f2457,definition,
( spl0_79
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
thf(f2458,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f2457]) ).
thf(f2478,definition,
( spl0_80
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f2479,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 ) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f2478]) ).
thf(f2489,definition,
( spl0_83
<=> ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f2490,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_83 ),
inference(avatar_component_clause,[],[f2489]) ).
thf(f2492,definition,
( spl0_84
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
thf(f2493,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f2492]) ).
thf(f2496,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_83 ),
inference(constrained_superposition,[],[f2490,f34]) ).
thf(f2498,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_83 ),
inference(trivial_inequality_removal,[],[f2496]) ).
thf(f2500,plain,
( spl0_78
| spl0_83 ),
inference(avatar_split_clause,[],[f2498,f2489,f2453]) ).
thf(f2502,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f2493,f266]) ).
thf(f2507,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f2493,f30]) ).
thf(f2509,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f2502]) ).
thf(f2513,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f2507]) ).
thf(f2514,plain,
( spl0_72
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f2509,f2492,f2278]) ).
thf(f2515,plain,
( spl0_80
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f2513,f2492,f2478]) ).
thf(f2521,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f25,f2454]) ).
thf(f2522,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f2521]) ).
thf(f2528,plain,
( spl0_44
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f2522,f2453,f1085]) ).
thf(f2531,definition,
( spl0_85
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
thf(f2532,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f2531]) ).
thf(f2566,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_61
| ~ spl0_68 ),
inference(constrained_superposition,[],[f1817,f2263]) ).
thf(f2572,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_61
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f2566]) ).
thf(f2578,definition,
( spl0_86
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
thf(f2579,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_86 ),
inference(avatar_component_clause,[],[f2578]) ).
thf(f2581,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_61
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f2572,f31]) ).
thf(f2583,definition,
( spl0_87
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
thf(f2584,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f2583]) ).
thf(f2588,plain,
( ~ spl0_86
| spl0_79
| ~ spl0_2
| ~ spl0_61
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f2581,f2262,f1795,f74,f2457,f2578]) ).
thf(f2593,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_62
| spl0_86 ),
inference(constrained_superposition,[],[f2579,f1976]) ).
thf(f2596,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_62
| spl0_86 ),
inference(trivial_inequality_removal,[],[f2593]) ).
thf(f2599,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_62
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f2596,f31]) ).
thf(f2601,definition,
( spl0_88
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
thf(f2602,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f2601]) ).
thf(f2604,definition,
( spl0_89
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
thf(f2605,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f2604]) ).
thf(f2607,definition,
( spl0_90
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
thf(f2608,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f2607]) ).
thf(f2609,plain,
( spl0_88
| spl0_89
| spl0_90
| ~ spl0_62
| spl0_86 ),
inference(avatar_split_clause,[],[f2599,f2578,f1975,f2607,f2604,f2601]) ).
thf(f2615,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_88 ),
inference(constrained_superposition,[],[f25,f2602]) ).
thf(f2617,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f2615]) ).
thf(f2623,plain,
( spl0_44
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f2617,f2601,f1085]) ).
thf(f2625,definition,
( spl0_91
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
thf(f2626,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f2625]) ).
thf(f2647,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_89 ),
inference(constrained_superposition,[],[f266,f2605]) ).
thf(f2701,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f2647,f29]) ).
thf(f2721,plain,
( $false
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f2701,f28]) ).
thf(f2722,plain,
~ spl0_89,
inference(avatar_contradiction_clause,[],[f2721]) ).
thf(f2742,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_90 ),
inference(constrained_superposition,[],[f266,f2608]) ).
thf(f2827,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f2742,f28]) ).
thf(f2836,plain,
( $false
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f2827,f29]) ).
thf(f2837,plain,
~ spl0_90,
inference(avatar_contradiction_clause,[],[f2836]) ).
thf(f2864,plain,
( $false
| ~ spl0_75
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f2290,f2493]) ).
thf(f2865,plain,
( ~ spl0_75
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f2864]) ).
thf(f2867,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_22
| ~ spl0_74 ),
inference(constrained_superposition,[],[f1855,f2287]) ).
thf(f2876,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_22
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f2867]) ).
thf(f2884,plain,
( spl0_87
| ~ spl0_22
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f2876,f2286,f622,f2583]) ).
thf(f2896,definition,
( spl0_96
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
thf(f2897,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f2896]) ).
thf(f2902,definition,
( spl0_97
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
thf(f2903,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f2902]) ).
thf(f2929,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_85 ),
inference(constrained_superposition,[],[f2532,f152]) ).
thf(f2930,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_85 ),
inference(constrained_superposition,[],[f2532,f1380]) ).
thf(f2937,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_2
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f2930]) ).
thf(f2943,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_7
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f2929]) ).
thf(f2944,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_2
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f2937,f31]) ).
thf(f2947,plain,
( $false
| ~ spl0_7
| ~ spl0_28
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f2943,f708]) ).
thf(f2948,plain,
( ~ spl0_7
| ~ spl0_28
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f2947]) ).
thf(f2949,plain,
( $false
| ~ spl0_2
| ~ spl0_28
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f2944,f708]) ).
thf(f2950,plain,
( ~ spl0_2
| ~ spl0_28
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f2949]) ).
thf(f2955,plain,
( ( $true != $true )
| ~ spl0_10
| spl0_49 ),
inference(constrained_superposition,[],[f1733,f162]) ).
thf(f2968,plain,
( $false
| ~ spl0_10
| spl0_49 ),
inference(trivial_inequality_removal,[],[f2955]) ).
thf(f2969,plain,
( ~ spl0_10
| spl0_49 ),
inference(avatar_contradiction_clause,[],[f2968]) ).
thf(f3150,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_79 ),
inference(constrained_superposition,[],[f266,f2458]) ).
thf(f3206,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f3150,f28]) ).
thf(f3226,plain,
( $false
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f3206,f29]) ).
thf(f3227,plain,
~ spl0_79,
inference(avatar_contradiction_clause,[],[f3226]) ).
thf(f3250,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_44
| ~ spl0_76 ),
inference(constrained_superposition,[],[f1086,f2295]) ).
thf(f3258,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_44
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f3250]) ).
thf(f3260,plain,
( spl0_85
| ~ spl0_44
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f3258,f2294,f1085,f2531]) ).
thf(f3283,definition,
( spl0_103
<=> ! [X1: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
thf(f3284,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 ) )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f3283]) ).
thf(f3290,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_87 ),
inference(constrained_superposition,[],[f2584,f152]) ).
thf(f3291,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_87 ),
inference(constrained_superposition,[],[f2584,f1380]) ).
thf(f3294,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_13
| spl0_38
| ~ spl0_87 ),
inference(constrained_superposition,[],[f2584,f1753]) ).
thf(f3297,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_7
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f3290]) ).
thf(f3298,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f3291]) ).
thf(f3300,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_13
| spl0_38
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f3294]) ).
thf(f3307,plain,
( $false
| ~ spl0_7
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f3297,f152]) ).
thf(f3308,plain,
( ~ spl0_7
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f3307]) ).
thf(f3309,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f3298,f31]) ).
thf(f3310,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_13
| spl0_38
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f3300,f31]) ).
thf(f3316,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f3309,f152]) ).
thf(f3317,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f3316]) ).
thf(f3318,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_70 ),
inference(avatar_component_clause,[],[f2270]) ).
thf(f3319,plain,
( spl0_96
| spl0_90
| ~ spl0_70
| ~ spl0_13
| spl0_38
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f3310,f2583,f833,f222,f2270,f2607,f2896]) ).
thf(f3347,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_39 ),
inference(constrained_superposition,[],[f838,f152]) ).
thf(f3348,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_39 ),
inference(constrained_superposition,[],[f838,f1380]) ).
thf(f3349,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_39 ),
inference(constrained_superposition,[],[f838,f216]) ).
thf(f3352,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_39
| ~ spl0_72 ),
inference(constrained_superposition,[],[f838,f2279]) ).
thf(f3354,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_10
| ~ spl0_39 ),
inference(constrained_superposition,[],[f838,f162]) ).
thf(f3357,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f3349]) ).
thf(f3358,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_10
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f3354]) ).
thf(f3361,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f3347]) ).
thf(f3364,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z
= ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f3348]) ).
thf(f3366,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_39
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f3352]) ).
thf(f3368,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_11
| spl0_29
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f3357,f2192]) ).
thf(f3369,plain,
( spl0_37
| ~ spl0_7
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f3361,f837,f151,f828]) ).
thf(f3370,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f3364,f31]) ).
thf(f3371,plain,
( spl0_77
| ~ spl0_39
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f3366,f2278,f837,f2450]) ).
thf(f3372,plain,
( spl0_37
| ~ spl0_11
| spl0_29
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f3368,f837,f711,f215,f828]) ).
thf(f3373,plain,
( spl0_37
| ~ spl0_2
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f3370,f837,f74,f828]) ).
thf(f3377,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_7
| ~ spl0_10
| ~ spl0_39 ),
inference(constrained_superposition,[],[f3358,f152]) ).
thf(f3378,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_39 ),
inference(constrained_superposition,[],[f3358,f1380]) ).
thf(f3385,plain,
( ( z
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f3378]) ).
thf(f3387,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_7
| ~ spl0_10
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f3377]) ).
thf(f3396,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f3385,f31]) ).
thf(f3397,plain,
( $false
| ~ spl0_7
| ~ spl0_10
| ~ spl0_28
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f3387,f708]) ).
thf(f3398,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_28
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f3397]) ).
thf(f3401,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_28
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f3396,f708]) ).
thf(f3402,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_28
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f3401]) ).
thf(f3406,definition,
( spl0_106
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
thf(f3407,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_106 ),
inference(avatar_component_clause,[],[f3406]) ).
thf(f3409,definition,
( spl0_107
<=> ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
thf(f3410,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f3409]) ).
thf(f3412,definition,
( spl0_108
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
thf(f3413,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f3412]) ).
thf(f3415,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_35
| spl0_36
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f1603,f834]) ).
thf(f3417,definition,
( spl0_109
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
thf(f3418,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f3417]) ).
thf(f3419,plain,
( spl0_109
| spl0_28
| ~ spl0_35
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1783,f1741,f737,f707,f3417]) ).
thf(f3421,definition,
( spl0_110
<=> ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( r @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
thf(f3422,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f3421]) ).
thf(f3423,plain,
( spl0_28
| spl0_110
| ~ spl0_25
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1602,f737,f696,f3421,f707]) ).
thf(f3425,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f2578]) ).
thf(f3427,definition,
( spl0_111
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
thf(f3428,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_111 ),
inference(avatar_component_clause,[],[f3427]) ).
thf(f3431,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_13
| ~ spl0_25
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f1792,f26]) ).
thf(f3433,definition,
( spl0_112
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
thf(f3434,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_112 ),
inference(avatar_component_clause,[],[f3433]) ).
thf(f3436,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_29
| ~ spl0_35
| spl0_36
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f3415,f2192]) ).
thf(f3439,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_13
| ~ spl0_25
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f3431,f31]) ).
thf(f3440,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_29
| ~ spl0_35
| spl0_36
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f3436,f31]) ).
thf(f3442,plain,
( spl0_28
| spl0_37
| ~ spl0_13
| ~ spl0_25
| spl0_38 ),
inference(avatar_split_clause,[],[f3439,f833,f696,f222,f828,f707]) ).
thf(f3443,plain,
( spl0_28
| spl0_29
| ~ spl0_35
| spl0_36
| spl0_38 ),
inference(avatar_split_clause,[],[f3440,f833,f761,f737,f711,f707]) ).
thf(f3463,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_28
| ~ spl0_62 ),
inference(constrained_superposition,[],[f713,f1976]) ).
thf(f3467,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_28
| ~ spl0_62 ),
inference(duplicate_literal_removal,[],[f3463]) ).
thf(f3468,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_28
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f3467]) ).
thf(f3469,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_20 ),
inference(constrained_superposition,[],[f616,f34]) ).
thf(f3471,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_20 ),
inference(trivial_inequality_removal,[],[f3469]) ).
thf(f3473,plain,
( spl0_46
| spl0_20 ),
inference(avatar_split_clause,[],[f3471,f615,f1092]) ).
thf(f3474,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_24 ),
inference(constrained_superposition,[],[f667,f35]) ).
thf(f3476,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_24 ),
inference(trivial_inequality_removal,[],[f3474]) ).
thf(f3483,plain,
( spl0_38
| spl0_24 ),
inference(avatar_split_clause,[],[f3476,f666,f833]) ).
thf(f3488,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_38
| ~ spl0_44 ),
inference(constrained_superposition,[],[f1086,f1743]) ).
thf(f3491,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_38
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f3488]) ).
thf(f3496,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_25
| ~ spl0_36 ),
inference(constrained_superposition,[],[f697,f762]) ).
thf(f3499,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f3496]) ).
thf(f3500,plain,
( spl0_37
| ~ spl0_25
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f3499,f761,f696,f828]) ).
thf(f3501,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_112 ),
inference(constrained_superposition,[],[f3434,f34]) ).
thf(f3503,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_112 ),
inference(trivial_inequality_removal,[],[f3501]) ).
thf(f3505,plain,
( spl0_88
| spl0_112 ),
inference(avatar_split_clause,[],[f3503,f3433,f2601]) ).
thf(f3521,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_14
| spl0_49 ),
inference(constrained_superposition,[],[f1733,f226]) ).
thf(f3523,plain,
( ( z
= ( s @ z ) )
| ~ spl0_14
| spl0_49 ),
inference(trivial_inequality_removal,[],[f3521]) ).
thf(f3525,plain,
( $false
| ~ spl0_14
| spl0_49 ),
inference(forward_subsumption_resolution,[],[f3523,f31]) ).
thf(f3526,plain,
( ~ spl0_14
| spl0_49 ),
inference(avatar_contradiction_clause,[],[f3525]) ).
thf(f3528,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_28
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f3468,f26]) ).
thf(f3530,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_28
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f3528,f31]) ).
thf(f3531,plain,
( $false
| spl0_28
| spl0_49
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f3530,f1733]) ).
thf(f3532,plain,
( spl0_28
| spl0_49
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[],[f3531]) ).
thf(f3534,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_106 ),
inference(constrained_superposition,[],[f3407,f36]) ).
thf(f3536,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_106 ),
inference(trivial_inequality_removal,[],[f3534]) ).
thf(f3539,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_60
| ~ spl0_86 ),
inference(constrained_superposition,[],[f1742,f3425]) ).
thf(f3542,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_60
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f3539]) ).
thf(f3545,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_60
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f3542,f31]) ).
thf(f3546,plain,
( spl0_96
| spl0_90
| ~ spl0_60
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f3545,f2578,f1741,f2607,f2896]) ).
thf(f3548,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_111 ),
inference(constrained_superposition,[],[f3428,f36]) ).
thf(f3550,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_111 ),
inference(trivial_inequality_removal,[],[f3548]) ).
thf(f3564,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_86 ),
inference(constrained_superposition,[],[f697,f3425]) ).
thf(f3567,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f3564]) ).
thf(f3571,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_30
| ~ spl0_38
| ~ spl0_44 ),
inference(constrained_superposition,[],[f3491,f719]) ).
thf(f3580,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_30
| ~ spl0_38
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f3571]) ).
thf(f3600,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_37
| ~ spl0_97 ),
inference(constrained_superposition,[],[f829,f2903]) ).
thf(f3601,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_46 ),
inference(constrained_superposition,[],[f829,f2226]) ).
thf(f3604,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_37
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f3600]) ).
thf(f3605,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_37
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f3601]) ).
thf(f3608,plain,
( $false
| ~ spl0_37
| ~ spl0_86
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f3604,f3425]) ).
thf(f3609,plain,
( ~ spl0_37
| ~ spl0_86
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f3608]) ).
thf(f3618,definition,
( spl0_116
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
thf(f3619,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f3618]) ).
thf(f3649,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_116 ),
inference(constrained_superposition,[],[f266,f3619]) ).
thf(f3692,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f3649,f28]) ).
thf(f3702,plain,
( $false
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f3692,f29]) ).
thf(f3703,plain,
~ spl0_116,
inference(avatar_contradiction_clause,[],[f3702]) ).
thf(f3705,definition,
( spl0_117
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
thf(f3706,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_117 ),
inference(avatar_component_clause,[],[f3705]) ).
thf(f3708,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_117 ),
inference(constrained_superposition,[],[f3706,f56]) ).
thf(f3712,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_117 ),
inference(trivial_inequality_removal,[],[f3708]) ).
thf(f3715,definition,
( spl0_118
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
thf(f3716,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f3715]) ).
thf(f3718,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_117 ),
inference(forward_subsumption_resolution,[],[f3712,f31]) ).
thf(f3720,plain,
( spl0_118
| spl0_117 ),
inference(avatar_split_clause,[],[f3718,f3705,f3715]) ).
thf(f3733,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_77 ),
inference(constrained_superposition,[],[f2451,f152]) ).
thf(f3736,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_77
| ~ spl0_78 ),
inference(constrained_superposition,[],[f2451,f2454]) ).
thf(f3739,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f3733]) ).
thf(f3742,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_77
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f3736]) ).
thf(f3743,plain,
( $false
| ~ spl0_7
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f3739,f152]) ).
thf(f3744,plain,
( ~ spl0_7
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f3743]) ).
thf(f3746,plain,
( $false
| ~ spl0_46
| ~ spl0_77
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f3742,f2226]) ).
thf(f3747,plain,
( ~ spl0_46
| ~ spl0_77
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f3746]) ).
thf(f3755,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_25
| ~ spl0_86
| ~ spl0_118 ),
inference(constrained_superposition,[],[f3567,f3716]) ).
thf(f3760,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_25
| ~ spl0_86
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f3755]) ).
thf(f3766,plain,
( $false
| ~ spl0_25
| ~ spl0_36
| ~ spl0_86
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f3760,f762]) ).
thf(f3767,plain,
( ~ spl0_25
| ~ spl0_36
| ~ spl0_86
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[],[f3766]) ).
thf(f3768,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_44
| ~ spl0_96 ),
inference(constrained_superposition,[],[f1086,f2897]) ).
thf(f3770,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_44
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f3768]) ).
thf(f3772,plain,
( spl0_91
| ~ spl0_44
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f3770,f2896,f1085,f2625]) ).
thf(f3781,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_91
| ~ spl0_118 ),
inference(constrained_superposition,[],[f2626,f3716]) ).
thf(f3785,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_91
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f3781]) ).
thf(f3787,plain,
( $false
| ~ spl0_38
| ~ spl0_91
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f3785,f1743]) ).
thf(f3788,plain,
( ~ spl0_38
| ~ spl0_91
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[],[f3787]) ).
thf(f3789,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f3410,f266]) ).
thf(f3790,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f3410,f54]) ).
thf(f3794,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f3410,f30]) ).
thf(f3795,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f3794]) ).
thf(f3797,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f3789]) ).
thf(f3798,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f3790]) ).
thf(f3801,plain,
( spl0_103
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f3795,f3409,f3283]) ).
thf(f3802,plain,
( spl0_97
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f3797,f3409,f2902]) ).
thf(f3803,plain,
( $false
| spl0_86
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f3798,f2579]) ).
thf(f3804,plain,
( spl0_86
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f3803]) ).
thf(f3806,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_74 ),
inference(constrained_superposition,[],[f25,f2287]) ).
thf(f3808,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f3806]) ).
thf(f3821,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_30
| ~ spl0_38
| ~ spl0_44
| ~ spl0_96 ),
inference(constrained_superposition,[],[f3580,f2897]) ).
thf(f3827,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_30
| ~ spl0_38
| ~ spl0_44
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f3821]) ).
thf(f3830,plain,
( $false
| ~ spl0_30
| ~ spl0_38
| ~ spl0_44
| spl0_86
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f3827,f2579]) ).
thf(f3831,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_44
| spl0_86
| ~ spl0_96 ),
inference(avatar_contradiction_clause,[],[f3830]) ).
thf(f3834,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_31 ),
inference(constrained_superposition,[],[f722,f30]) ).
thf(f3837,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_31 ),
inference(trivial_inequality_removal,[],[f3834]) ).
thf(f3870,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_68
| ~ spl0_74 ),
inference(constrained_superposition,[],[f3808,f2263]) ).
thf(f3871,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_70
| ~ spl0_74 ),
inference(constrained_superposition,[],[f3808,f2271]) ).
thf(f3872,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_74
| ~ spl0_78 ),
inference(constrained_superposition,[],[f3808,f2454]) ).
thf(f3874,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_74
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f3872]) ).
thf(f3876,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_68
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f3870]) ).
thf(f3877,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_70
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f3871]) ).
thf(f3880,plain,
( spl0_85
| ~ spl0_74
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f3874,f2453,f2286,f2531]) ).
thf(f3881,plain,
( spl0_87
| ~ spl0_68
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f3876,f2286,f2262,f2583]) ).
thf(f3882,plain,
( spl0_77
| ~ spl0_70
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f3877,f2286,f2270,f2450]) ).
thf(f3889,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_38
| ~ spl0_44
| ~ spl0_97 ),
inference(constrained_superposition,[],[f3491,f2903]) ).
thf(f3890,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_39
| ~ spl0_97 ),
inference(constrained_superposition,[],[f838,f2903]) ).
thf(f3892,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_38
| ~ spl0_44
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f3889]) ).
thf(f3895,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_39
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f3890]) ).
thf(f3896,plain,
( $false
| ~ spl0_38
| ~ spl0_44
| ~ spl0_96
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f3892,f2897]) ).
thf(f3897,plain,
( ~ spl0_38
| ~ spl0_44
| ~ spl0_96
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f3896]) ).
thf(f3899,plain,
( ~ spl0_49
| ~ spl0_37
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f3605,f1092,f828,f1200]) ).
thf(f3900,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_29
| spl0_31 ),
inference(forward_subsumption_resolution,[],[f3837,f2192]) ).
thf(f3901,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_111 ),
inference(forward_subsumption_resolution,[],[f3550,f31]) ).
thf(f3903,definition,
( spl0_121
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
thf(f3904,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f3903]) ).
thf(f3906,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_106 ),
inference(forward_subsumption_resolution,[],[f3536,f31]) ).
thf(f3908,definition,
( spl0_122
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
thf(f3909,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f3908]) ).
thf(f3912,plain,
( spl0_42
| spl0_29
| spl0_31 ),
inference(avatar_split_clause,[],[f3900,f721,f711,f962]) ).
thf(f3913,plain,
( spl0_121
| spl0_111 ),
inference(avatar_split_clause,[],[f3901,f3427,f3903]) ).
thf(f3914,plain,
( spl0_122
| spl0_106 ),
inference(avatar_split_clause,[],[f3906,f3406,f3908]) ).
thf(f3918,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_10
| ~ spl0_74 ),
inference(constrained_superposition,[],[f3808,f162]) ).
thf(f3921,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_10
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f3918]) ).
thf(f3927,plain,
( spl0_85
| ~ spl0_10
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f3921,f2286,f161,f2531]) ).
thf(f3929,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_39
| ~ spl0_42 ),
inference(constrained_superposition,[],[f838,f963]) ).
thf(f3932,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_39
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f3929]) ).
thf(f3934,plain,
( spl0_37
| ~ spl0_39
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f3932,f962,f837,f828]) ).
thf(f3940,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_25
| ~ spl0_108 ),
inference(constrained_superposition,[],[f697,f3413]) ).
thf(f3944,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f3940]) ).
thf(f3954,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_121 ),
inference(constrained_superposition,[],[f25,f3904]) ).
thf(f3957,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f3954]) ).
thf(f3964,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f1446,f36]) ).
thf(f3969,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f3964]) ).
thf(f3987,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f27,f2266]) ).
thf(f3992,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f3987]) ).
thf(f4002,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_10
| ~ spl0_25
| ~ spl0_108 ),
inference(constrained_superposition,[],[f3944,f162]) ).
thf(f4005,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_10
| ~ spl0_25
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f4002]) ).
thf(f4009,plain,
( $false
| ~ spl0_10
| ~ spl0_25
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f4005,f162]) ).
thf(f4010,plain,
( ~ spl0_10
| ~ spl0_25
| ~ spl0_108 ),
inference(avatar_contradiction_clause,[],[f4009]) ).
thf(f4011,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_70
| ~ spl0_85 ),
inference(constrained_superposition,[],[f2532,f2271]) ).
thf(f4016,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_70
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f4011]) ).
thf(f4017,plain,
( $false
| ~ spl0_38
| ~ spl0_70
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f4016,f1743]) ).
thf(f4018,plain,
( ~ spl0_38
| ~ spl0_70
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f4017]) ).
thf(f4028,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_122 ),
inference(constrained_superposition,[],[f25,f3909]) ).
thf(f4030,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f4028]) ).
thf(f4052,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f27,f2290]) ).
thf(f4055,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f4052]) ).
thf(f4068,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_10
| ~ spl0_39
| ~ spl0_97 ),
inference(constrained_superposition,[],[f3895,f162]) ).
thf(f4071,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_10
| ~ spl0_39
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f4068]) ).
thf(f4074,plain,
( $false
| ~ spl0_10
| ~ spl0_39
| ~ spl0_46
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f4071,f2226]) ).
thf(f4075,plain,
( ~ spl0_10
| ~ spl0_39
| ~ spl0_46
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f4074]) ).
thf(f4097,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f3992,f266]) ).
thf(f4098,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f3992,f54]) ).
thf(f4100,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f3992,f35]) ).
thf(f4103,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f4100]) ).
thf(f4104,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f4098]) ).
thf(f4107,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f4097]) ).
thf(f4110,plain,
( ~ spl0_73
| spl0_96
| spl0_6
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f4103,f2265,f104,f2896,f2281]) ).
thf(f4111,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_69
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f4104,f2579]) ).
thf(f4113,definition,
( spl0_123
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
thf(f4114,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_123 ),
inference(avatar_component_clause,[],[f4113]) ).
thf(f4115,plain,
( spl0_21
| ~ spl0_123
| spl0_97
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f4107,f2265,f2902,f4113,f618]) ).
thf(f4117,definition,
( spl0_124
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
thf(f4118,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_124 ),
inference(avatar_component_clause,[],[f4117]) ).
thf(f4119,plain,
( ~ spl0_124
| spl0_2
| ~ spl0_69
| spl0_86 ),
inference(avatar_split_clause,[],[f4111,f2578,f2265,f74,f4117]) ).
thf(f4127,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f4055,f35]) ).
thf(f4133,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f4127]) ).
thf(f4137,plain,
( spl0_96
| spl0_6
| ~ spl0_73
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f4133,f2289,f2281,f104,f2896]) ).
thf(f4144,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_124 ),
inference(constrained_superposition,[],[f4118,f54]) ).
thf(f4146,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_124 ),
inference(constrained_superposition,[],[f4118,f30]) ).
thf(f4147,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_124 ),
inference(trivial_inequality_removal,[],[f4144]) ).
thf(f4148,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_124 ),
inference(trivial_inequality_removal,[],[f4146]) ).
thf(f4150,plain,
( spl0_108
| spl0_124 ),
inference(avatar_split_clause,[],[f4147,f4117,f3412]) ).
thf(f4151,plain,
( spl0_116
| spl0_108
| spl0_124 ),
inference(avatar_split_clause,[],[f4148,f4117,f3412,f3618]) ).
thf(f4153,plain,
( spl0_25
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f3957,f3903,f696]) ).
thf(f4154,plain,
( spl0_25
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f4030,f3908,f696]) ).
thf(f4156,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f2493,f54]) ).
thf(f4158,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f2493,f35]) ).
thf(f4161,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f4156]) ).
thf(f4164,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f4158]) ).
thf(f4167,plain,
( spl0_108
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f4161,f2492,f3412]) ).
thf(f4168,plain,
( spl0_76
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f4164,f2492,f2294]) ).
thf(f4176,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f68,f2274]) ).
thf(f4182,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f27,f2274]) ).
thf(f4184,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f4182]) ).
thf(f4185,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f4176]) ).
thf(f4193,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_38
| ~ spl0_44
| ~ spl0_72 ),
inference(constrained_superposition,[],[f3491,f2279]) ).
thf(f4197,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_38
| ~ spl0_44
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f4193]) ).
thf(f4199,plain,
( $false
| ~ spl0_38
| ~ spl0_44
| ~ spl0_72
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f4197,f2295]) ).
thf(f4200,plain,
( ~ spl0_38
| ~ spl0_44
| ~ spl0_72
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f4199]) ).
thf(f4202,plain,
( ~ spl0_111
| spl0_36
| spl0_84
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f4185,f2273,f2492,f761,f3427]) ).
thf(f4203,plain,
( $false
| ~ spl0_10
| spl0_46 ),
inference(forward_subsumption_resolution,[],[f1093,f162]) ).
thf(f4204,plain,
( ~ spl0_10
| spl0_46 ),
inference(avatar_contradiction_clause,[],[f4203]) ).
thf(f4208,plain,
( ( $true != $true )
| ~ spl0_21
| ~ spl0_71 ),
inference(constrained_superposition,[],[f619,f2274]) ).
thf(f4218,plain,
( $false
| ~ spl0_21
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f4208]) ).
thf(f4219,plain,
( ~ spl0_21
| ~ spl0_71 ),
inference(avatar_contradiction_clause,[],[f4218]) ).
thf(f4221,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_14
| spl0_46 ),
inference(constrained_superposition,[],[f1093,f226]) ).
thf(f4224,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_14
| spl0_46 ),
inference(trivial_inequality_removal,[],[f4221]) ).
thf(f4225,plain,
( $false
| ~ spl0_14
| spl0_46 ),
inference(forward_subsumption_resolution,[],[f4224,f31]) ).
thf(f4226,plain,
( ~ spl0_14
| spl0_46 ),
inference(avatar_contradiction_clause,[],[f4225]) ).
thf(f4238,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_32 ),
inference(constrained_superposition,[],[f726,f30]) ).
thf(f4241,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_32 ),
inference(trivial_inequality_removal,[],[f4238]) ).
thf(f4243,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_29
| spl0_32 ),
inference(forward_subsumption_resolution,[],[f4241,f2192]) ).
thf(f4244,plain,
( spl0_36
| spl0_29
| spl0_32 ),
inference(avatar_split_clause,[],[f4243,f725,f711,f761]) ).
thf(f4247,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f25,f963]) ).
thf(f4249,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f4247]) ).
thf(f4251,plain,
( spl0_25
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f4249,f962,f696]) ).
thf(f4276,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_123 ),
inference(constrained_superposition,[],[f4114,f36]) ).
thf(f4278,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_123 ),
inference(trivial_inequality_removal,[],[f4276]) ).
thf(f4282,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_29
| spl0_123 ),
inference(forward_subsumption_resolution,[],[f4278,f2192]) ).
thf(f4286,plain,
( spl0_72
| spl0_29
| spl0_123 ),
inference(avatar_split_clause,[],[f4282,f4113,f711,f2278]) ).
thf(f4287,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f1450,f36]) ).
thf(f4290,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f4287]) ).
thf(f4303,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_68
| ~ spl0_85 ),
inference(constrained_superposition,[],[f2532,f2263]) ).
thf(f4305,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f25,f2263]) ).
thf(f4306,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f4305]) ).
thf(f4308,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_68
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f4303]) ).
thf(f4309,plain,
( $false
| ~ spl0_68
| ~ spl0_85
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f4308,f2897]) ).
thf(f4310,plain,
( ~ spl0_68
| ~ spl0_85
| ~ spl0_96 ),
inference(avatar_contradiction_clause,[],[f4309]) ).
thf(f4329,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_91 ),
inference(constrained_superposition,[],[f2626,f2287]) ).
thf(f4331,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_74
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f4329]) ).
thf(f4334,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true ) )
| ~ spl0_13
| ~ spl0_74
| ~ spl0_91 ),
inference(constrained_superposition,[],[f4331,f234]) ).
thf(f4337,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_13
| ~ spl0_74
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f4334]) ).
thf(f4348,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_108 ),
inference(constrained_superposition,[],[f697,f3413]) ).
thf(f4352,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f4348]) ).
thf(f4369,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f4184,f54]) ).
thf(f4376,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f4369]) ).
thf(f4388,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_57
| ~ spl0_74 ),
inference(constrained_superposition,[],[f1665,f2287]) ).
thf(f4393,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_57
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f4388]) ).
thf(f4399,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_72 ),
inference(avatar_component_clause,[],[f2278]) ).
thf(f4400,plain,
( ~ spl0_72
| spl0_88
| ~ spl0_57
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f4393,f2286,f1664,f2601,f2278]) ).
thf(f4413,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_68
| ~ spl0_74 ),
inference(constrained_superposition,[],[f4306,f2287]) ).
thf(f4415,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_68
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f4413]) ).
thf(f4524,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
!= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_15
| spl0_29 ),
inference(constrained_superposition,[],[f2192,f557]) ).
thf(f4585,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_15
| spl0_29 ),
inference(trivial_inequality_removal,[],[f4524]) ).
thf(f4606,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_15
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f4585,f31]) ).
thf(f4645,definition,
( spl0_127
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
thf(f4646,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f4645]) ).
thf(f4661,plain,
( spl0_63
| ~ spl0_15
| spl0_29 ),
inference(avatar_split_clause,[],[f4606,f711,f556,f2042]) ).
thf(f4744,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_68 ),
inference(constrained_superposition,[],[f4306,f606]) ).
thf(f4746,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_17
| ~ spl0_91 ),
inference(constrained_superposition,[],[f2626,f606]) ).
thf(f4752,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_17
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f4746]) ).
thf(f4756,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_17
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f4744]) ).
thf(f4761,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_17
| ~ spl0_38
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f4752,f1743]) ).
thf(f4764,definition,
( spl0_135
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
thf(f4765,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f4764]) ).
thf(f4766,plain,
( spl0_135
| spl0_90
| ~ spl0_17
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f4756,f2262,f605,f2607,f4764]) ).
thf(f4769,plain,
( spl0_90
| ~ spl0_17
| ~ spl0_38
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f4761,f2625,f833,f605,f2607]) ).
thf(f4781,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_74
| ~ spl0_91
| ~ spl0_109 ),
inference(constrained_superposition,[],[f4331,f3418]) ).
thf(f4784,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_74
| ~ spl0_91
| ~ spl0_109 ),
inference(trivial_inequality_removal,[],[f4781]) ).
thf(f4785,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_74
| ~ spl0_91
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f4784,f31]) ).
thf(f4786,plain,
( spl0_116
| spl0_79
| ~ spl0_74
| ~ spl0_91
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f4785,f3417,f2625,f2286,f2457,f3618]) ).
thf(f4815,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_78 ),
inference(avatar_component_clause,[],[f2453]) ).
thf(f4819,definition,
( spl0_136
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
thf(f4820,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f4819]) ).
thf(f4846,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_74
| ~ spl0_80
| ~ spl0_91 ),
inference(constrained_superposition,[],[f4331,f2479]) ).
thf(f4868,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_74
| ~ spl0_80
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f4846]) ).
thf(f4873,plain,
( $false
| ~ spl0_74
| ~ spl0_80
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f4868,f31]) ).
thf(f4874,plain,
( ~ spl0_74
| ~ spl0_80
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f4873]) ).
thf(f4878,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_25
| ~ spl0_53 ),
inference(constrained_superposition,[],[f697,f3969]) ).
thf(f4879,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f25,f3969]) ).
thf(f4880,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f4879]) ).
thf(f4882,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f4878]) ).
thf(f4883,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f4880,f25]) ).
thf(f4901,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_25
| ~ spl0_54 ),
inference(constrained_superposition,[],[f697,f4290]) ).
thf(f4903,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f4901]) ).
thf(f4909,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_68
| ~ spl0_88 ),
inference(constrained_superposition,[],[f4306,f2602]) ).
thf(f4910,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_87
| ~ spl0_88 ),
inference(constrained_superposition,[],[f2584,f2602]) ).
thf(f4917,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_87
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f4910]) ).
thf(f4919,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_68
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f4909]) ).
thf(f4920,plain,
( spl0_136
| ~ spl0_68
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f4919,f2601,f2262,f4819]) ).
thf(f4922,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_74
| ~ spl0_136 ),
inference(constrained_superposition,[],[f4820,f2287]) ).
thf(f4927,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_74
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f4922]) ).
thf(f4944,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_3
| ~ spl0_25 ),
inference(constrained_superposition,[],[f697,f78]) ).
thf(f4946,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_3
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f4944]) ).
thf(f4951,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_3
| ~ spl0_25
| ~ spl0_74 ),
inference(constrained_superposition,[],[f4946,f2287]) ).
thf(f4958,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_3
| ~ spl0_25
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f4951]) ).
thf(f4973,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_4
| spl0_86 ),
inference(constrained_superposition,[],[f2579,f82]) ).
thf(f4974,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_25 ),
inference(constrained_superposition,[],[f697,f82]) ).
thf(f4975,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f25,f82]) ).
thf(f4976,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f4975]) ).
thf(f4977,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_4
| spl0_86 ),
inference(trivial_inequality_removal,[],[f4973]) ).
thf(f4978,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_4
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f4974]) ).
thf(f4979,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f4976,f25]) ).
thf(f4987,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_88 ),
inference(constrained_superposition,[],[f4979,f2602]) ).
thf(f4992,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f4987]) ).
thf(f4999,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_25
| ~ spl0_74 ),
inference(constrained_superposition,[],[f4978,f2287]) ).
thf(f5013,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_25
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f4999]) ).
thf(f5065,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_38
| ~ spl0_44
| ~ spl0_103 ),
inference(constrained_superposition,[],[f3491,f3284]) ).
thf(f5075,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_38
| ~ spl0_44
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f5065]) ).
thf(f5090,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_38
| ~ spl0_44
| ~ spl0_96
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f5075,f2897]) ).
thf(f5092,definition,
( spl0_137
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
thf(f5093,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f5092]) ).
thf(f5098,definition,
( spl0_138
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
thf(f5099,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f5098]) ).
thf(f5101,plain,
( spl0_90
| ~ spl0_38
| ~ spl0_44
| ~ spl0_96
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f5090,f3283,f2896,f1085,f833,f2607]) ).
thf(f5157,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_8 ),
inference(extensionality_resolution,[],[f155,f31]) ).
thf(f5158,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_8 ),
inference(extensionality_resolution,[],[f155,f31]) ).
thf(f5171,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_108
| ~ spl0_110 ),
inference(constrained_superposition,[],[f3422,f3413]) ).
thf(f5182,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_108
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f5171]) ).
thf(f5201,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_25
| ~ spl0_53
| ~ spl0_74 ),
inference(constrained_superposition,[],[f4882,f2287]) ).
thf(f5211,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_25
| ~ spl0_53
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f5201]) ).
thf(f5221,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_25
| ~ spl0_54
| ~ spl0_74 ),
inference(constrained_superposition,[],[f4903,f2287]) ).
thf(f5231,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_25
| ~ spl0_54
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f5221]) ).
thf(f5515,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_13
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108
| ~ spl0_110 ),
inference(constrained_superposition,[],[f5182,f4337]) ).
thf(f5526,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_25
| ~ spl0_74
| ~ spl0_91 ),
inference(constrained_superposition,[],[f4978,f4337]) ).
thf(f5539,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_25
| ~ spl0_74
| ~ spl0_91 ),
inference(duplicate_literal_removal,[],[f5526]) ).
thf(f5540,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_25
| ~ spl0_74
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f5539]) ).
thf(f5545,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_13
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108
| ~ spl0_110 ),
inference(duplicate_literal_removal,[],[f5515]) ).
thf(f5546,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_13
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f5545]) ).
thf(f5563,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_25
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f5540,f3413]) ).
thf(f5570,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_25
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f5563,f31]) ).
thf(f5618,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
!= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_13
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108
| ~ spl0_110 ),
inference(constrained_superposition,[],[f26,f5546]) ).
thf(f5671,plain,
( ( ( s @ z )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_116 ),
inference(avatar_component_clause,[],[f3618]) ).
thf(f5683,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_116 ),
inference(extensionality_resolution,[],[f56,f5671]) ).
thf(f5684,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_116 ),
inference(extensionality_resolution,[],[f56,f5671]) ).
thf(f5685,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| spl0_116 ),
inference(extensionality_resolution,[],[f159,f5671]) ).
thf(f5695,definition,
( spl0_144
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
thf(f5696,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f5695]) ).
thf(f5698,definition,
( spl0_145
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
thf(f5699,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f5698]) ).
thf(f5700,plain,
( spl0_144
| spl0_145
| spl0_116 ),
inference(avatar_split_clause,[],[f5683,f3618,f5698,f5695]) ).
thf(f5702,definition,
( spl0_146
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
thf(f5703,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f5702]) ).
thf(f5705,definition,
( spl0_147
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
thf(f5706,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f5705]) ).
thf(f5707,plain,
( spl0_146
| spl0_147
| spl0_116 ),
inference(avatar_split_clause,[],[f5684,f3618,f5705,f5702]) ).
thf(f5708,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f3705]) ).
thf(f5711,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f123,f5708]) ).
thf(f5718,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f27,f5708]) ).
thf(f5725,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f5718]) ).
thf(f5726,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f5711]) ).
thf(f5759,definition,
( spl0_150
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
thf(f5760,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f5759]) ).
thf(f5769,definition,
( spl0_152
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
thf(f5770,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f5769]) ).
thf(f5781,definition,
( spl0_153
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
thf(f5782,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f5781]) ).
thf(f5790,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_4
| ~ spl0_152 ),
inference(constrained_superposition,[],[f4979,f5770]) ).
thf(f5798,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_4
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f5790]) ).
thf(f5805,definition,
( spl0_154
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
thf(f5806,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f5805]) ).
thf(f5812,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_44
| ~ spl0_153 ),
inference(constrained_superposition,[],[f1086,f5782]) ).
thf(f5814,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_44
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f5812]) ).
thf(f5816,plain,
( spl0_154
| ~ spl0_44
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f5814,f5781,f1085,f5805]) ).
thf(f5842,definition,
( spl0_156
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
thf(f5843,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f5842]) ).
thf(f5846,definition,
( spl0_157
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
thf(f5847,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f5846]) ).
thf(f5854,definition,
( spl0_159
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
thf(f5855,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f5854]) ).
thf(f5859,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_25
| ~ spl0_108
| ~ spl0_147 ),
inference(constrained_superposition,[],[f4352,f5706]) ).
thf(f5861,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_147 ),
inference(constrained_superposition,[],[f4979,f5706]) ).
thf(f5867,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_53
| ~ spl0_147 ),
inference(constrained_superposition,[],[f4883,f5706]) ).
thf(f5871,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f5861]) ).
thf(f5874,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_25
| ~ spl0_108
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f5859]) ).
thf(f5878,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_53
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f5867]) ).
thf(f5882,plain,
( spl0_150
| ~ spl0_4
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f5871,f5705,f81,f5759]) ).
thf(f5888,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_53
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f5878,f31]) ).
thf(f5896,plain,
( spl0_150
| ~ spl0_53
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f5888,f5705,f1445,f5759]) ).
thf(f5901,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_3
| ~ spl0_25
| ~ spl0_108
| ~ spl0_147 ),
inference(constrained_superposition,[],[f5874,f78]) ).
thf(f5909,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_3
| ~ spl0_25
| ~ spl0_108
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f5901]) ).
thf(f6035,plain,
( spl0_154
| ~ spl0_4
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f5798,f5769,f81,f5805]) ).
thf(f6069,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f5725,f54]) ).
thf(f6079,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f6069]) ).
thf(f6534,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= z )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_13
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108
| ~ spl0_110 ),
inference(equality_resolution,[],[f5618]) ).
thf(f6535,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_13
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f6534,f31]) ).
thf(f6857,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_25
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108
| ~ spl0_110 ),
inference(constrained_superposition,[],[f6535,f5570]) ).
thf(f6878,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_25
| spl0_72
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108 ),
inference(constrained_superposition,[],[f4399,f5570]) ).
thf(f6991,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_25
| ~ spl0_38
| ~ spl0_44
| spl0_72
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f6878,f3491]) ).
thf(f6992,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_25
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f6857,f4331]) ).
thf(f7006,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_25
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108
| ~ spl0_110
| spl0_116 ),
inference(forward_subsumption_resolution,[],[f6992,f5671]) ).
thf(f7008,definition,
( spl0_164
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
thf(f7009,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f7008]) ).
thf(f7016,plain,
( spl0_164
| ~ spl0_4
| ~ spl0_13
| ~ spl0_25
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108
| ~ spl0_110
| spl0_116 ),
inference(avatar_split_clause,[],[f7006,f3618,f3421,f3412,f2625,f2286,f696,f222,f81,f7008]) ).
thf(f7389,plain,
( spl0_152
| ~ spl0_3
| ~ spl0_25
| ~ spl0_108
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f5909,f5705,f3412,f696,f77,f5769]) ).
thf(f7500,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f42,f5696]) ).
thf(f7509,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f7500]) ).
thf(f7520,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| spl0_78
| ~ spl0_144 ),
inference(forward_subsumption_resolution,[],[f7509,f4815]) ).
thf(f7527,definition,
( spl0_174
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
thf(f7528,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f7527]) ).
thf(f7531,definition,
( spl0_175
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
thf(f7532,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_175 ),
inference(avatar_component_clause,[],[f7531]) ).
thf(f7533,plain,
( spl0_174
| ~ spl0_175
| spl0_78
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f7520,f5695,f2453,f7531,f7527]) ).
thf(f7543,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_175 ),
inference(constrained_superposition,[],[f7532,f34]) ).
thf(f7545,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_175 ),
inference(trivial_inequality_removal,[],[f7543]) ).
thf(f7562,definition,
( spl0_176
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
thf(f7563,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f7562]) ).
thf(f7578,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f7528,f54]) ).
thf(f7583,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f7578]) ).
thf(f7589,plain,
( spl0_157
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f7583,f7527,f5846]) ).
thf(f7638,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_25
| ~ spl0_108
| ~ spl0_147 ),
inference(constrained_superposition,[],[f4352,f5706]) ).
thf(f7658,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_25
| ~ spl0_108
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f7638]) ).
thf(f8084,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_150
| ~ spl0_176 ),
inference(constrained_superposition,[],[f5760,f7563]) ).
thf(f8209,plain,
( spl0_77
| ~ spl0_150
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f8084,f7562,f5759,f2450]) ).
thf(f8221,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_79 ),
inference(avatar_component_clause,[],[f2457]) ).
thf(f8234,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_8
| spl0_79 ),
inference(extensionality_resolution,[],[f155,f8221]) ).
thf(f8235,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| spl0_79 ),
inference(extensionality_resolution,[],[f155,f8221]) ).
thf(f8236,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_79 ),
inference(extensionality_resolution,[],[f56,f8221]) ).
thf(f8237,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_79 ),
inference(extensionality_resolution,[],[f56,f8221]) ).
thf(f8240,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| spl0_79 ),
inference(extensionality_resolution,[],[f40,f8221]) ).
thf(f8242,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_79 ),
inference(extensionality_resolution,[],[f36,f8221]) ).
thf(f8243,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_79 ),
inference(extensionality_resolution,[],[f36,f8221]) ).
thf(f8245,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_79 ),
inference(extensionality_resolution,[],[f30,f8221]) ).
thf(f8251,definition,
( spl0_182
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
thf(f8252,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f8251]) ).
thf(f8254,definition,
( spl0_183
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f8255,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f8254]) ).
thf(f8256,plain,
( spl0_182
| spl0_183
| spl0_79 ),
inference(avatar_split_clause,[],[f8237,f2457,f8254,f8251]) ).
thf(f8258,definition,
( spl0_184
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
thf(f8259,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f8258]) ).
thf(f8261,definition,
( spl0_185
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
thf(f8262,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f8261]) ).
thf(f8263,plain,
( spl0_184
| spl0_185
| spl0_79 ),
inference(avatar_split_clause,[],[f8236,f2457,f8261,f8258]) ).
thf(f8304,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_136
| ~ spl0_182 ),
inference(constrained_superposition,[],[f4820,f8252]) ).
thf(f8305,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_68
| ~ spl0_74
| ~ spl0_182 ),
inference(constrained_superposition,[],[f4415,f8252]) ).
thf(f8307,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_87
| ~ spl0_182 ),
inference(constrained_superposition,[],[f2584,f8252]) ).
thf(f8321,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_53
| ~ spl0_182 ),
inference(constrained_superposition,[],[f4883,f8252]) ).
thf(f8324,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_136
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f8304]) ).
thf(f8333,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_53
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f8321]) ).
thf(f8335,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_87
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f8307]) ).
thf(f8337,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_68
| ~ spl0_74
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f8305]) ).
thf(f8344,plain,
( $false
| ~ spl0_136
| ~ spl0_152
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[],[f8324,f5770]) ).
thf(f8345,plain,
( ~ spl0_136
| ~ spl0_152
| ~ spl0_182 ),
inference(avatar_contradiction_clause,[],[f8344]) ).
thf(f8352,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_53
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[],[f8333,f31]) ).
thf(f8353,plain,
( $false
| ~ spl0_87
| ~ spl0_147
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[],[f8335,f5706]) ).
thf(f8354,plain,
( ~ spl0_87
| ~ spl0_147
| ~ spl0_182 ),
inference(avatar_contradiction_clause,[],[f8353]) ).
thf(f8356,plain,
( $false
| ~ spl0_68
| ~ spl0_74
| ~ spl0_145
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[],[f8337,f5699]) ).
thf(f8357,plain,
( ~ spl0_68
| ~ spl0_74
| ~ spl0_145
| ~ spl0_182 ),
inference(avatar_contradiction_clause,[],[f8356]) ).
thf(f8359,definition,
( spl0_186
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f8360,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f8359]) ).
thf(f8370,plain,
( spl0_186
| ~ spl0_53
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f8352,f8251,f1445,f8359]) ).
thf(f8379,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f602,f8255]) ).
thf(f8380,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f123,f8255]) ).
thf(f8381,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f68,f8255]) ).
thf(f8390,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f8381]) ).
thf(f8393,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f8379]) ).
thf(f8396,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f8380]) ).
thf(f8397,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_25
| ~ spl0_108
| ~ spl0_147
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f8390,f7658]) ).
thf(f8402,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_117
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f8393,f5708]) ).
thf(f8407,plain,
( spl0_107
| ~ spl0_106
| spl0_156
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f8396,f8254,f5842,f3406,f3409]) ).
thf(f8408,plain,
( spl0_107
| ~ spl0_106
| ~ spl0_25
| ~ spl0_108
| ~ spl0_147
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f8397,f8254,f5705,f3412,f696,f3406,f3409]) ).
thf(f8409,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_25
| ~ spl0_38
| ~ spl0_44
| spl0_72
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108
| ~ spl0_117
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f8402,f6991]) ).
thf(f8410,plain,
( spl0_107
| ~ spl0_4
| ~ spl0_13
| ~ spl0_25
| ~ spl0_38
| ~ spl0_44
| spl0_72
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108
| ~ spl0_117
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f8409,f8254,f3705,f3412,f2625,f2286,f2278,f1085,f833,f696,f222,f81,f3409]) ).
thf(f8417,plain,
( spl0_152
| spl0_175 ),
inference(avatar_split_clause,[],[f7545,f7531,f5769]) ).
thf(f8426,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_108 ),
inference(avatar_component_clause,[],[f3412]) ).
thf(f8444,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_4
| spl0_108 ),
inference(constrained_superposition,[],[f8426,f82]) ).
thf(f8445,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| spl0_108 ),
inference(constrained_superposition,[],[f8426,f78]) ).
thf(f8458,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| spl0_108 ),
inference(trivial_inequality_removal,[],[f8444]) ).
thf(f8459,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| spl0_108 ),
inference(trivial_inequality_removal,[],[f8445]) ).
thf(f8467,plain,
( $false
| ~ spl0_4
| ~ spl0_74
| ~ spl0_91
| spl0_108 ),
inference(forward_subsumption_resolution,[],[f8458,f4331]) ).
thf(f8468,plain,
( ~ spl0_4
| ~ spl0_74
| ~ spl0_91
| spl0_108 ),
inference(avatar_contradiction_clause,[],[f8467]) ).
thf(f8489,plain,
( spl0_91
| ~ spl0_4
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f4992,f2601,f81,f2625]) ).
thf(f8495,plain,
( spl0_96
| ~ spl0_4
| spl0_86 ),
inference(avatar_split_clause,[],[f4977,f2578,f81,f2896]) ).
thf(f8497,plain,
( ~ spl0_78
| ~ spl0_74
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4927,f4819,f2286,f2453]) ).
thf(f8500,plain,
( ~ spl0_78
| ~ spl0_87
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f4917,f2601,f2583,f2453]) ).
thf(f8501,plain,
( spl0_76
| ~ spl0_4
| spl0_108 ),
inference(avatar_split_clause,[],[f8458,f3412,f81,f2294]) ).
thf(f8505,plain,
( spl0_78
| ~ spl0_3
| spl0_108 ),
inference(avatar_split_clause,[],[f8459,f3412,f77,f2453]) ).
thf(f8507,definition,
( spl0_193
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
thf(f8508,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f8507]) ).
thf(f8519,plain,
( ~ spl0_108
| spl0_96
| ~ spl0_4
| ~ spl0_25
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f5013,f2286,f696,f81,f2896,f3412]) ).
thf(f8521,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_25
| ~ spl0_53
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f5211,f31]) ).
thf(f8522,plain,
( spl0_107
| ~ spl0_106
| spl0_42
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f5726,f3705,f962,f3406,f3409]) ).
thf(f8523,plain,
( spl0_88
| ~ spl0_108
| ~ spl0_3
| ~ spl0_25
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f4958,f2286,f696,f77,f3412,f2601]) ).
thf(f8527,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_25
| ~ spl0_54
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f5231,f31]) ).
thf(f8528,plain,
( ~ spl0_108
| spl0_96
| ~ spl0_25
| ~ spl0_53
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f8521,f2286,f1445,f696,f2896,f3412]) ).
thf(f8531,plain,
( ~ spl0_108
| spl0_88
| ~ spl0_25
| ~ spl0_54
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f8527,f2286,f1449,f696,f2601,f3412]) ).
thf(f8538,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_28
| ~ spl0_44 ),
inference(constrained_superposition,[],[f1086,f708]) ).
thf(f8540,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_28
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f8538]) ).
thf(f8542,plain,
( spl0_127
| ~ spl0_28
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f8540,f1085,f707,f4645]) ).
thf(f8549,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_78 ),
inference(constrained_superposition,[],[f4979,f2454]) ).
thf(f8555,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_4
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f8549]) ).
thf(f8563,plain,
( spl0_85
| ~ spl0_4
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f8555,f2453,f81,f2531]) ).
thf(f8592,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_127 ),
inference(constrained_superposition,[],[f4646,f762]) ).
thf(f8599,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_36
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f8592]) ).
thf(f8602,plain,
( $false
| ~ spl0_36
| ~ spl0_38
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f8599,f1743]) ).
thf(f8603,plain,
( ~ spl0_36
| ~ spl0_38
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f8602]) ).
thf(f8604,plain,
( ~ spl0_73
| ~ spl0_5
| spl0_121
| ~ spl0_9
| spl0_116 ),
inference(avatar_split_clause,[],[f5685,f3618,f158,f3903,f101,f2281]) ).
thf(f8667,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_86 ),
inference(constrained_superposition,[],[f697,f3425]) ).
thf(f8669,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f8667]) ).
thf(f8672,plain,
( spl0_138
| ~ spl0_25
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f8669,f2578,f696,f5098]) ).
thf(f8674,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_68
| ~ spl0_122 ),
inference(constrained_superposition,[],[f4306,f3909]) ).
thf(f8677,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_122 ),
inference(constrained_superposition,[],[f4979,f3909]) ).
thf(f8692,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_68
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f8674]) ).
thf(f8694,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f8677]) ).
thf(f8699,plain,
( spl0_193
| ~ spl0_68
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f8692,f3908,f2262,f8507]) ).
thf(f8701,plain,
( spl0_138
| ~ spl0_4
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f8694,f3908,f81,f5098]) ).
thf(f8734,definition,
( spl0_194
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f8735,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f8734]) ).
thf(f8742,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_157 ),
inference(constrained_superposition,[],[f697,f5847]) ).
thf(f8746,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f8742]) ).
thf(f8747,plain,
( spl0_194
| ~ spl0_25
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f8746,f5846,f696,f8734]) ).
thf(f8767,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_159 ),
inference(constrained_superposition,[],[f829,f5855]) ).
thf(f8768,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_38
| ~ spl0_44
| ~ spl0_159 ),
inference(constrained_superposition,[],[f3491,f5855]) ).
thf(f8781,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_38
| ~ spl0_44
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f8768]) ).
thf(f8787,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_37
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f8767]) ).
thf(f8795,plain,
( $false
| ~ spl0_37
| ~ spl0_157
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f8787,f5847]) ).
thf(f8796,plain,
( ~ spl0_37
| ~ spl0_157
| ~ spl0_159 ),
inference(avatar_contradiction_clause,[],[f8795]) ).
thf(f8807,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_37
| ~ spl0_159 ),
inference(constrained_superposition,[],[f8787,f82]) ).
thf(f8817,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_37
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f8807]) ).
thf(f8825,plain,
( $false
| ~ spl0_4
| ~ spl0_37
| ~ spl0_38
| ~ spl0_44
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f8817,f8781]) ).
thf(f8826,plain,
( ~ spl0_4
| ~ spl0_37
| ~ spl0_38
| ~ spl0_44
| ~ spl0_159 ),
inference(avatar_contradiction_clause,[],[f8825]) ).
thf(f8879,definition,
( spl0_195
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
thf(f8880,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f8879]) ).
thf(f8923,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f7528,f266]) ).
thf(f8930,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f8923]) ).
thf(f8935,plain,
( spl0_159
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f8930,f7527,f5854]) ).
thf(f8968,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_85
| ~ spl0_147 ),
inference(constrained_superposition,[],[f2532,f5706]) ).
thf(f8991,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_85
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f8968]) ).
thf(f9009,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_74
| ~ spl0_138 ),
inference(constrained_superposition,[],[f5099,f2287]) ).
thf(f9012,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_74
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f9009]) ).
thf(f9015,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_74
| ~ spl0_193 ),
inference(constrained_superposition,[],[f8508,f2287]) ).
thf(f9019,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_74
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f9015]) ).
thf(f9020,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f602,f8255]) ).
thf(f9023,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f48,f8255]) ).
thf(f9024,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f42,f8255]) ).
thf(f9032,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f9023]) ).
thf(f9035,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f9020]) ).
thf(f9036,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f9024]) ).
thf(f9039,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_85
| ~ spl0_147
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f9032,f8991]) ).
thf(f9040,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_117
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f9035,f5708]) ).
thf(f9041,plain,
( spl0_107
| spl0_152
| ~ spl0_112
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f9036,f8254,f3433,f5769,f3409]) ).
thf(f9043,plain,
( spl0_107
| ~ spl0_112
| ~ spl0_85
| ~ spl0_147
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f9039,f8254,f5705,f2531,f3433,f3409]) ).
thf(f9044,plain,
( spl0_107
| spl0_159
| ~ spl0_117
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f9040,f8254,f3705,f5854,f3409]) ).
thf(f9045,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_8
| spl0_70
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f8234,f3318]) ).
thf(f9046,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_8
| spl0_72
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f8235,f4399]) ).
thf(f9047,plain,
( spl0_68
| spl0_69
| spl0_79 ),
inference(avatar_split_clause,[],[f8243,f2457,f2265,f2262]) ).
thf(f9048,plain,
( ~ spl0_108
| ~ spl0_74
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f9012,f5098,f2286,f3412]) ).
thf(f9050,plain,
( spl0_54
| ~ spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f5158,f154,f71,f1449]) ).
thf(f9051,plain,
( ~ spl0_1
| spl0_53
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f5157,f154,f1445,f71]) ).
thf(f9052,plain,
( spl0_2
| spl0_108
| ~ spl0_32
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f4376,f2273,f725,f3412,f74]) ).
thf(f9061,plain,
( ~ spl0_124
| ~ spl0_32
| ~ spl0_8
| spl0_70
| spl0_79 ),
inference(avatar_split_clause,[],[f9045,f2457,f2270,f154,f725,f4117]) ).
thf(f9062,plain,
( ~ spl0_32
| ~ spl0_124
| ~ spl0_8
| spl0_72
| spl0_79 ),
inference(avatar_split_clause,[],[f9046,f2457,f2278,f154,f4117,f725]) ).
thf(f9063,plain,
( spl0_86
| ~ spl0_32
| spl0_2
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f6079,f3705,f74,f725,f2578]) ).
thf(f9069,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_25
| ~ spl0_49 ),
inference(constrained_superposition,[],[f697,f1201]) ).
thf(f9072,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f9069]) ).
thf(f9073,plain,
( spl0_127
| ~ spl0_25
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f9072,f1200,f696,f4645]) ).
thf(f9096,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_111 ),
inference(constrained_superposition,[],[f3428,f30]) ).
thf(f9099,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_111 ),
inference(trivial_inequality_removal,[],[f9096]) ).
thf(f9101,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_111
| spl0_116 ),
inference(forward_subsumption_resolution,[],[f9099,f5671]) ).
thf(f9102,plain,
( spl0_121
| spl0_111
| spl0_116 ),
inference(avatar_split_clause,[],[f9101,f3618,f3427,f3903]) ).
thf(f9103,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_85
| ~ spl0_121 ),
inference(constrained_superposition,[],[f2532,f3904]) ).
thf(f9107,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_85
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f9103]) ).
thf(f9109,plain,
( $false
| ~ spl0_28
| ~ spl0_85
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f9107,f708]) ).
thf(f9110,plain,
( ~ spl0_28
| ~ spl0_85
| ~ spl0_121 ),
inference(avatar_contradiction_clause,[],[f9109]) ).
thf(f9120,plain,
( $false
| ~ spl0_74
| ~ spl0_121
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f9019,f3904]) ).
thf(f9121,plain,
( ~ spl0_74
| ~ spl0_121
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[],[f9120]) ).
thf(f9124,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_108
| ~ spl0_127 ),
inference(constrained_superposition,[],[f4646,f3413]) ).
thf(f9129,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_108
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f9124]) ).
thf(f9152,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_39
| ~ spl0_97 ),
inference(constrained_superposition,[],[f838,f2903]) ).
thf(f9155,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_39
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f9152]) ).
thf(f9157,plain,
( spl0_137
| ~ spl0_39
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f9155,f2902,f837,f5092]) ).
thf(f9182,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_38
| ~ spl0_44
| ~ spl0_159 ),
inference(constrained_superposition,[],[f3491,f5855]) ).
thf(f9183,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_39
| ~ spl0_159 ),
inference(constrained_superposition,[],[f838,f5855]) ).
thf(f9185,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_38
| ~ spl0_44
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f9182]) ).
thf(f9186,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_39
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f9183]) ).
thf(f9188,plain,
( spl0_195
| ~ spl0_39
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f9186,f5854,f837,f8879]) ).
thf(f9222,plain,
( $false
| ~ spl0_38
| ~ spl0_44
| ~ spl0_153
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f9185,f5782]) ).
thf(f9223,plain,
( ~ spl0_38
| ~ spl0_44
| ~ spl0_153
| ~ spl0_159 ),
inference(avatar_contradiction_clause,[],[f9222]) ).
thf(f9224,plain,
( spl0_75
| spl0_74
| spl0_79 ),
inference(avatar_split_clause,[],[f8242,f2457,f2286,f2289]) ).
thf(f9226,plain,
( $false
| ~ spl0_76
| ~ spl0_108
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f2295,f9129]) ).
thf(f9227,plain,
( ~ spl0_76
| ~ spl0_108
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f9226]) ).
thf(f9293,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_38
| ~ spl0_44
| ~ spl0_97 ),
inference(constrained_superposition,[],[f3491,f2903]) ).
thf(f9296,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_38
| ~ spl0_44
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f9293]) ).
thf(f9336,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f602,f2266]) ).
thf(f9350,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f9336]) ).
thf(f9356,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_71
| ~ spl0_75 ),
inference(constrained_superposition,[],[f4184,f2290]) ).
thf(f9373,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_71
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f9356]) ).
thf(f9400,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f42,f5696]) ).
thf(f9410,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f9400]) ).
thf(f9464,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_182
| ~ spl0_193 ),
inference(constrained_superposition,[],[f8508,f8252]) ).
thf(f9470,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_182
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f9464]) ).
thf(f9472,plain,
( $false
| ~ spl0_156
| ~ spl0_182
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f9470,f5843]) ).
thf(f9473,plain,
( ~ spl0_156
| ~ spl0_182
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[],[f9472]) ).
thf(f9487,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_185 ),
inference(constrained_superposition,[],[f42,f8262]) ).
thf(f9497,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f9487]) ).
thf(f9506,plain,
( ~ spl0_175
| spl0_88
| spl0_174
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f9497,f8261,f7527,f2601,f7531]) ).
thf(f9522,plain,
( ~ spl0_117
| spl0_107
| ~ spl0_71
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f9373,f2289,f2273,f3409,f3705]) ).
thf(f9524,plain,
( ( $true != $true )
| ~ spl0_69
| ~ spl0_107 ),
inference(constrained_superposition,[],[f3410,f2266]) ).
thf(f9528,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f3410,f35]) ).
thf(f9532,plain,
( $false
| ~ spl0_69
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f9524]) ).
thf(f9533,plain,
( ~ spl0_69
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f9532]) ).
thf(f9536,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f9528]) ).
thf(f9539,plain,
( $false
| ~ spl0_38
| ~ spl0_44
| ~ spl0_97
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f9536,f9296]) ).
thf(f9540,plain,
( ~ spl0_38
| ~ spl0_44
| ~ spl0_97
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f9539]) ).
thf(f9545,definition,
( spl0_199
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
thf(f9546,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f9545]) ).
thf(f9547,plain,
( spl0_70
| spl0_199
| spl0_79 ),
inference(avatar_split_clause,[],[f8240,f2457,f9545,f2270]) ).
thf(f9549,definition,
( spl0_200
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
thf(f9550,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_200 ),
inference(avatar_component_clause,[],[f9549]) ).
thf(f9552,plain,
( spl0_174
| spl0_78
| ~ spl0_175
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f9410,f5695,f7531,f2453,f7527]) ).
thf(f9553,plain,
( spl0_71
| spl0_70
| spl0_79 ),
inference(avatar_split_clause,[],[f8245,f2457,f2270,f2273]) ).
thf(f9555,plain,
( spl0_84
| ~ spl0_71
| spl0_97
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f9350,f2265,f2902,f2273,f2492]) ).
thf(f9568,plain,
( ( $true != $true )
| ~ spl0_84
| ~ spl0_144 ),
inference(constrained_superposition,[],[f2493,f5696]) ).
thf(f9580,plain,
( $false
| ~ spl0_84
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f9568]) ).
thf(f9581,plain,
( ~ spl0_84
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f9580]) ).
thf(f9607,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_200 ),
inference(constrained_superposition,[],[f9550,f55]) ).
thf(f9612,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_200 ),
inference(trivial_inequality_removal,[],[f9607]) ).
thf(f9615,plain,
( spl0_156
| spl0_200 ),
inference(avatar_split_clause,[],[f9612,f9549,f5842]) ).
thf(f9626,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_77
| ~ spl0_147 ),
inference(constrained_superposition,[],[f2451,f5706]) ).
thf(f9629,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_77
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f9626]) ).
thf(f9630,plain,
( $false
| ~ spl0_77
| ~ spl0_147
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f9629,f5855]) ).
thf(f9631,plain,
( ~ spl0_77
| ~ spl0_147
| ~ spl0_159 ),
inference(avatar_contradiction_clause,[],[f9630]) ).
thf(f9633,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f123,f5703]) ).
thf(f9646,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f9633]) ).
thf(f9671,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_145
| ~ spl0_195 ),
inference(constrained_superposition,[],[f8880,f5699]) ).
thf(f9674,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_145
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f9671]) ).
thf(f9675,plain,
( $false
| ~ spl0_72
| ~ spl0_145
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f9674,f2279]) ).
thf(f9676,plain,
( ~ spl0_72
| ~ spl0_145
| ~ spl0_195 ),
inference(avatar_contradiction_clause,[],[f9675]) ).
thf(f9678,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_150
| ~ spl0_184 ),
inference(constrained_superposition,[],[f5760,f8259]) ).
thf(f9681,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_150
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f9678]) ).
thf(f9694,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_145
| ~ spl0_186 ),
inference(constrained_superposition,[],[f8360,f5699]) ).
thf(f9696,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_145
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f9694]) ).
thf(f9698,plain,
( $false
| ~ spl0_74
| ~ spl0_145
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f9696,f2287]) ).
thf(f9699,plain,
( ~ spl0_74
| ~ spl0_145
| ~ spl0_186 ),
inference(avatar_contradiction_clause,[],[f9698]) ).
thf(f9700,plain,
( $false
| ~ spl0_68
| ~ spl0_150
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f2263,f9681]) ).
thf(f9701,plain,
( ~ spl0_68
| ~ spl0_150
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f9700]) ).
thf(f9702,plain,
( spl0_156
| spl0_84
| ~ spl0_111
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f9646,f5702,f3427,f2492,f5842]) ).
thf(f9708,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f3410,f35]) ).
thf(f9714,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f9708]) ).
thf(f9717,plain,
( spl0_96
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f9714,f3409,f2896]) ).
thf(f9721,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f25,f5770]) ).
thf(f9723,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f9721]) ).
thf(f9724,plain,
( spl0_44
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f9723,f5769,f1085]) ).
thf(f9745,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f25,f5843]) ).
thf(f9747,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f9745]) ).
thf(f9748,plain,
( spl0_25
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f9747,f5842,f696]) ).
thf(f9779,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_17
| ~ spl0_150 ),
inference(constrained_superposition,[],[f5760,f606]) ).
thf(f9782,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_17
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f9779]) ).
thf(f9783,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_17
| ~ spl0_70
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f9782,f2271]) ).
thf(f9784,plain,
( spl0_176
| ~ spl0_17
| ~ spl0_70
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f9783,f5759,f2270,f605,f7562]) ).
thf(f9804,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f25,f2226]) ).
thf(f9805,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f9804]) ).
thf(f9807,plain,
( spl0_44
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f9805,f1092,f1085]) ).
thf(f9890,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_118
| ~ spl0_136 ),
inference(constrained_superposition,[],[f4820,f3716]) ).
thf(f9893,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_118
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f9890]) ).
thf(f9899,plain,
( ~ spl0_46
| ~ spl0_118
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f9893,f4819,f3715,f1092]) ).
thf(f9940,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_154
| ~ spl0_156 ),
inference(constrained_superposition,[],[f5806,f5843]) ).
thf(f9943,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_154
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f9940]) ).
thf(f9946,plain,
( $false
| ~ spl0_28
| ~ spl0_154
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f9943,f708]) ).
thf(f9947,plain,
( ~ spl0_28
| ~ spl0_154
| ~ spl0_156 ),
inference(avatar_contradiction_clause,[],[f9946]) ).
thf(f10007,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f48,f8255]) ).
thf(f10014,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f10007]) ).
thf(f10048,plain,
( spl0_153
| ~ spl0_112
| spl0_107
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f10014,f8254,f3409,f3433,f5781]) ).
thf(f10089,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f68,f5696]) ).
thf(f10103,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f10089]) ).
thf(f10147,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_74
| ~ spl0_135 ),
inference(constrained_superposition,[],[f4765,f2287]) ).
thf(f10151,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_74
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f10147]) ).
thf(f10153,plain,
( $false
| ~ spl0_70
| ~ spl0_74
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f10151,f2271]) ).
thf(f10154,plain,
( ~ spl0_70
| ~ spl0_74
| ~ spl0_135 ),
inference(avatar_contradiction_clause,[],[f10153]) ).
thf(f10156,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_87
| ~ spl0_118 ),
inference(constrained_superposition,[],[f2584,f3716]) ).
thf(f10159,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_87
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f10156]) ).
thf(f10163,plain,
( $false
| ~ spl0_70
| ~ spl0_87
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f10159,f2271]) ).
thf(f10164,plain,
( ~ spl0_70
| ~ spl0_87
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[],[f10163]) ).
thf(f10165,plain,
( spl0_108
| ~ spl0_200
| spl0_174
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f10103,f5695,f7527,f9549,f3412]) ).
thf(f10177,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f25,f2897]) ).
thf(f10179,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f10177]) ).
thf(f10205,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_86
| ~ spl0_127 ),
inference(constrained_superposition,[],[f4646,f3425]) ).
thf(f10207,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_86
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f10205]) ).
thf(f10210,plain,
( $false
| ~ spl0_86
| ~ spl0_96
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f10207,f2897]) ).
thf(f10211,plain,
( ~ spl0_86
| ~ spl0_96
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f10210]) ).
thf(f10277,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_118 ),
inference(constrained_superposition,[],[f25,f3716]) ).
thf(f10278,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f10277]) ).
thf(f10279,plain,
( spl0_39
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f10278,f3715,f837]) ).
thf(f10306,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_108
| ~ spl0_127 ),
inference(constrained_superposition,[],[f4646,f3413]) ).
thf(f10309,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_108
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f10306]) ).
thf(f10326,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f25,f2279]) ).
thf(f10327,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f10326]) ).
thf(f10356,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_37
| ~ spl0_72 ),
inference(constrained_superposition,[],[f829,f2279]) ).
thf(f10357,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_37
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f10356]) ).
thf(f10360,plain,
( $false
| ~ spl0_37
| ~ spl0_72
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f10357,f3413]) ).
thf(f10361,plain,
( ~ spl0_37
| ~ spl0_72
| ~ spl0_108 ),
inference(avatar_contradiction_clause,[],[f10360]) ).
thf(f10396,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f602,f2290]) ).
thf(f10397,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f123,f2290]) ).
thf(f10398,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f68,f2290]) ).
thf(f10399,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f48,f2290]) ).
thf(f10400,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f42,f2290]) ).
thf(f10404,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f27,f2290]) ).
thf(f10405,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f10400]) ).
thf(f10406,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f10399]) ).
thf(f10409,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f10404]) ).
thf(f10411,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f10398]) ).
thf(f10412,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f10397]) ).
thf(f10413,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f10396]) ).
thf(f10436,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_91
| ~ spl0_122 ),
inference(constrained_superposition,[],[f2626,f3909]) ).
thf(f10438,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_91
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f10436]) ).
thf(f10442,plain,
( $false
| ~ spl0_28
| ~ spl0_91
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f10438,f708]) ).
thf(f10443,plain,
( ~ spl0_28
| ~ spl0_91
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f10442]) ).
thf(f10469,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_88
| ~ spl0_138 ),
inference(constrained_superposition,[],[f5099,f2602]) ).
thf(f10470,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_88
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f10469]) ).
thf(f10473,plain,
( $false
| ~ spl0_49
| ~ spl0_88
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f10470,f1201]) ).
thf(f10474,plain,
( ~ spl0_49
| ~ spl0_88
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f10473]) ).
thf(f10485,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_137
| ~ spl0_182 ),
inference(constrained_superposition,[],[f5093,f8252]) ).
thf(f10491,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_137
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f10485]) ).
thf(f10492,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56
| ~ spl0_108 ),
inference(constrained_superposition,[],[f1653,f3413]) ).
thf(f10494,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f10492]) ).
thf(f10496,plain,
( $false
| ~ spl0_56
| spl0_78
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f10494,f4815]) ).
thf(f10497,plain,
( ~ spl0_56
| spl0_78
| ~ spl0_108 ),
inference(avatar_contradiction_clause,[],[f10496]) ).
thf(f10523,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_199 ),
inference(constrained_superposition,[],[f9546,f35]) ).
thf(f10532,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f10523]) ).
thf(f10533,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_108
| ~ spl0_127
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f10532,f10309]) ).
thf(f10534,plain,
( ~ spl0_24
| spl0_6
| ~ spl0_108
| ~ spl0_127
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f10533,f9545,f4645,f3412,f104,f666]) ).
thf(f10536,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_72
| ~ spl0_147 ),
inference(constrained_superposition,[],[f10327,f5706]) ).
thf(f10542,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_72
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f10536]) ).
thf(f10561,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_57
| ~ spl0_145 ),
inference(constrained_superposition,[],[f1665,f5699]) ).
thf(f10568,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_57
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f10561]) ).
thf(f10576,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_88
| ~ spl0_96 ),
inference(constrained_superposition,[],[f10179,f2602]) ).
thf(f10577,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_88
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f10576]) ).
thf(f10581,plain,
( spl0_136
| ~ spl0_88
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f10577,f2896,f2601,f4819]) ).
thf(f10584,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_57
| ~ spl0_72
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f10568,f2279]) ).
thf(f10586,plain,
( spl0_152
| ~ spl0_57
| ~ spl0_72
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f10584,f5698,f2278,f1664,f5769]) ).
thf(f10587,plain,
( spl0_107
| ~ spl0_112
| spl0_78
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f10405,f2289,f2453,f3433,f3409]) ).
thf(f10588,plain,
( spl0_107
| spl0_108
| ~ spl0_106
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f10411,f2289,f3406,f3412,f3409]) ).
thf(f10589,plain,
( spl0_107
| ~ spl0_106
| spl0_121
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f10412,f2289,f3903,f3406,f3409]) ).
thf(f10590,plain,
( spl0_107
| spl0_76
| ~ spl0_112
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f10406,f2289,f3433,f2294,f3409]) ).
thf(f10591,plain,
( spl0_150
| ~ spl0_72
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f10542,f5705,f2278,f5759]) ).
thf(f10593,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_38
| ~ spl0_164 ),
inference(constrained_superposition,[],[f834,f7009]) ).
thf(f10596,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_38
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f10593]) ).
thf(f10599,plain,
( $false
| spl0_29
| spl0_38
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[],[f10596,f2192]) ).
thf(f10600,plain,
( spl0_29
| spl0_38
| ~ spl0_164 ),
inference(avatar_contradiction_clause,[],[f10599]) ).
thf(f10610,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_72
| ~ spl0_78 ),
inference(constrained_superposition,[],[f10327,f2454]) ).
thf(f10613,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_72
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f10610]) ).
thf(f10616,plain,
( spl0_85
| ~ spl0_72
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f10613,f2453,f2278,f2531]) ).
thf(f10622,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_106 ),
inference(constrained_superposition,[],[f3407,f30]) ).
thf(f10623,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_106 ),
inference(trivial_inequality_removal,[],[f10622]) ).
thf(f10626,plain,
( spl0_89
| spl0_122
| spl0_106 ),
inference(avatar_split_clause,[],[f10623,f3406,f3908,f2604]) ).
thf(f10630,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_86 ),
inference(constrained_superposition,[],[f25,f3425]) ).
thf(f10631,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f10630]) ).
thf(f10643,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_42 ),
inference(avatar_component_clause,[],[f962]) ).
thf(f10680,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_68
| ~ spl0_72 ),
inference(constrained_superposition,[],[f10327,f2263]) ).
thf(f10681,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_68
| ~ spl0_77 ),
inference(constrained_superposition,[],[f2451,f2263]) ).
thf(f10685,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_68
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f10681]) ).
thf(f10686,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_68
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f10680]) ).
thf(f10689,plain,
( $false
| ~ spl0_68
| ~ spl0_77
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f10685,f2903]) ).
thf(f10690,plain,
( ~ spl0_68
| ~ spl0_77
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f10689]) ).
thf(f10691,plain,
( spl0_87
| ~ spl0_68
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f10686,f2278,f2262,f2583]) ).
thf(f10700,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f48,f5708]) ).
thf(f10701,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f42,f5708]) ).
thf(f10707,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f10700]) ).
thf(f10711,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f10701]) ).
thf(f10714,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| spl0_38
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f10707,f834]) ).
thf(f10716,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| spl0_46
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f10711,f1093]) ).
thf(f10718,plain,
( ~ spl0_112
| spl0_107
| spl0_38
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f10714,f3705,f833,f3409,f3433]) ).
thf(f10719,plain,
( ~ spl0_112
| spl0_107
| spl0_46
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f10716,f3705,f1092,f3409,f3433]) ).
thf(f10749,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f123,f2266]) ).
thf(f10750,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f68,f2266]) ).
thf(f10751,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f48,f2266]) ).
thf(f10752,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f42,f2266]) ).
thf(f10760,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f10752]) ).
thf(f10762,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f10749]) ).
thf(f10763,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f10750]) ).
thf(f10764,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f10751]) ).
thf(f10781,plain,
( ~ spl0_159
| ~ spl0_137
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f10491,f8251,f5092,f5854]) ).
thf(f10806,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_138
| ~ spl0_182 ),
inference(constrained_superposition,[],[f5099,f8252]) ).
thf(f10812,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_138
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f10806]) ).
thf(f10813,plain,
( $false
| ~ spl0_138
| ~ spl0_157
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[],[f10812,f5847]) ).
thf(f10814,plain,
( ~ spl0_138
| ~ spl0_157
| ~ spl0_182 ),
inference(avatar_contradiction_clause,[],[f10813]) ).
thf(f10869,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_152
| ~ spl0_194 ),
inference(constrained_superposition,[],[f8735,f5770]) ).
thf(f10872,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_152
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f10869]) ).
thf(f10874,plain,
( $false
| ~ spl0_49
| ~ spl0_152
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f10872,f1201]) ).
thf(f10875,plain,
( ~ spl0_49
| ~ spl0_152
| ~ spl0_194 ),
inference(avatar_contradiction_clause,[],[f10874]) ).
thf(f10879,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_150
| ~ spl0_152 ),
inference(constrained_superposition,[],[f5760,f5770]) ).
thf(f10880,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_150
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f10879]) ).
thf(f10884,plain,
( $false
| ~ spl0_78
| ~ spl0_150
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f10880,f2454]) ).
thf(f10885,plain,
( ~ spl0_78
| ~ spl0_150
| ~ spl0_152 ),
inference(avatar_contradiction_clause,[],[f10884]) ).
thf(f10929,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f10409,f266]) ).
thf(f10930,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f10409,f54]) ).
thf(f10937,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f10930]) ).
thf(f10941,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f10929]) ).
thf(f10945,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_86
| ~ spl0_122 ),
inference(constrained_superposition,[],[f10631,f3909]) ).
thf(f10948,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_86
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f10945]) ).
thf(f10950,plain,
( spl0_193
| ~ spl0_86
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f10948,f3908,f2578,f8507]) ).
thf(f10951,plain,
( ~ spl0_83
| spl0_84
| spl0_96
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f10764,f2265,f2896,f2492,f2489]) ).
thf(f10952,plain,
( ~ spl0_83
| spl0_88
| spl0_84
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f10760,f2265,f2492,f2601,f2489]) ).
thf(f10980,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_86
| ~ spl0_88 ),
inference(constrained_superposition,[],[f10631,f2602]) ).
thf(f10985,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_86
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f10980]) ).
thf(f10988,plain,
( spl0_136
| ~ spl0_86
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f10985,f2601,f2578,f4819]) ).
thf(f10990,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_72
| ~ spl0_121 ),
inference(constrained_superposition,[],[f10327,f3904]) ).
thf(f10998,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_72
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f10990]) ).
thf(f11082,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_70
| ~ spl0_72
| ~ spl0_121 ),
inference(constrained_superposition,[],[f10998,f2271]) ).
thf(f11088,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_70
| ~ spl0_72
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f11082]) ).
thf(f11089,plain,
( $false
| ~ spl0_36
| ~ spl0_70
| ~ spl0_72
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f11088,f762]) ).
thf(f11090,plain,
( ~ spl0_36
| ~ spl0_70
| ~ spl0_72
| ~ spl0_121 ),
inference(avatar_contradiction_clause,[],[f11089]) ).
thf(f11091,plain,
( spl0_97
| spl0_21
| ~ spl0_123
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f10941,f2289,f4113,f618,f2902]) ).
thf(f11092,plain,
( ~ spl0_117
| spl0_72
| spl0_107
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f10413,f2289,f3409,f2278,f3705]) ).
thf(f11093,plain,
( spl0_86
| spl0_2
| ~ spl0_124
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f10937,f2289,f4117,f74,f2578]) ).
thf(f11094,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_25
| ~ spl0_108 ),
inference(constrained_superposition,[],[f697,f3413]) ).
thf(f11097,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f11094]) ).
thf(f11118,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_117 ),
inference(constrained_superposition,[],[f3706,f30]) ).
thf(f11119,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_117 ),
inference(trivial_inequality_removal,[],[f11118]) ).
thf(f11122,plain,
( spl0_118
| spl0_90
| spl0_117 ),
inference(avatar_split_clause,[],[f11119,f3705,f2607,f3715]) ).
thf(f11127,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_118
| ~ spl0_138 ),
inference(constrained_superposition,[],[f5099,f3716]) ).
thf(f11134,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_118
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f11127]) ).
thf(f11137,plain,
( $false
| ~ spl0_36
| ~ spl0_118
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f11134,f762]) ).
thf(f11138,plain,
( ~ spl0_36
| ~ spl0_118
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f11137]) ).
thf(f11140,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_25
| ~ spl0_70
| ~ spl0_108 ),
inference(constrained_superposition,[],[f11097,f2271]) ).
thf(f11145,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_25
| ~ spl0_70
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f11140]) ).
thf(f11147,plain,
( $false
| ~ spl0_25
| ~ spl0_36
| ~ spl0_70
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f11145,f762]) ).
thf(f11148,plain,
( ~ spl0_25
| ~ spl0_36
| ~ spl0_70
| ~ spl0_108 ),
inference(avatar_contradiction_clause,[],[f11147]) ).
thf(f11153,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f123,f2274]) ).
thf(f11155,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f48,f2274]) ).
thf(f11156,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f42,f2274]) ).
thf(f11161,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f11155]) ).
thf(f11162,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f11156]) ).
thf(f11166,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f11153]) ).
thf(f11174,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_159 ),
inference(constrained_superposition,[],[f829,f5855]) ).
thf(f11177,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_37
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f11174]) ).
thf(f11183,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f602,f5703]) ).
thf(f11184,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f123,f5703]) ).
thf(f11185,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f68,f5703]) ).
thf(f11186,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f48,f5703]) ).
thf(f11187,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f42,f5703]) ).
thf(f11192,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f11187]) ).
thf(f11194,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f11186]) ).
thf(f11196,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f11185]) ).
thf(f11199,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f11184]) ).
thf(f11200,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f11183]) ).
thf(f11224,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f68,f8255]) ).
thf(f11237,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f11224]) ).
thf(f11242,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_37
| ~ spl0_159
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f11237,f11177]) ).
thf(f11243,plain,
( ~ spl0_106
| spl0_107
| ~ spl0_37
| ~ spl0_159
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f11242,f8254,f5854,f828,f3409,f3406]) ).
thf(f11244,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| spl0_42
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f11166,f10643]) ).
thf(f11245,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| spl0_38
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f11161,f834]) ).
thf(f11246,plain,
( ~ spl0_83
| spl0_84
| spl0_153
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f11194,f5702,f5781,f2492,f2489]) ).
thf(f11247,plain,
( spl0_84
| ~ spl0_111
| spl0_86
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f10763,f2265,f2578,f3427,f2492]) ).
thf(f11248,plain,
( spl0_84
| spl0_122
| ~ spl0_111
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f10762,f2265,f3427,f3908,f2492]) ).
thf(f11249,plain,
( spl0_84
| spl0_46
| ~ spl0_83
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f11162,f2273,f2489,f1092,f2492]) ).
thf(f11250,plain,
( spl0_84
| spl0_157
| ~ spl0_111
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f11196,f5702,f3427,f5846,f2492]) ).
thf(f11251,plain,
( ~ spl0_111
| spl0_156
| spl0_84
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f11199,f5702,f2492,f5842,f3427]) ).
thf(f11252,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_71
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f11200,f2274]) ).
thf(f11253,plain,
( spl0_152
| ~ spl0_83
| spl0_84
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f11192,f5702,f2492,f2489,f5769]) ).
thf(f11254,plain,
( spl0_84
| ~ spl0_111
| spl0_42
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f11244,f2273,f962,f3427,f2492]) ).
thf(f11255,plain,
( ~ spl0_83
| spl0_84
| spl0_38
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f11245,f2273,f833,f2492,f2489]) ).
thf(f11256,plain,
( spl0_159
| spl0_84
| ~ spl0_71
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f11252,f5702,f2273,f2492,f5854]) ).
thf(f11269,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_39
| ~ spl0_46 ),
inference(constrained_superposition,[],[f838,f2226]) ).
thf(f11272,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_39
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f11269]) ).
thf(f11302,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_39
| ~ spl0_46
| ~ spl0_72 ),
inference(constrained_superposition,[],[f11272,f2279]) ).
thf(f11306,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_39
| ~ spl0_46
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f11302]) ).
thf(f11308,plain,
( $false
| ~ spl0_39
| ~ spl0_46
| ~ spl0_72
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f11306,f2295]) ).
thf(f11309,plain,
( ~ spl0_39
| ~ spl0_46
| ~ spl0_72
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f11308]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f79]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f83]) ).
cnf(s3,plain,
( spl0_4
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f106]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f156]) ).
cnf(s5,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f163]) ).
cnf(s7,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f227]) ).
cnf(s9,plain,
( spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f566]) ).
cnf(s11,plain,
( spl0_19
| ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f620]) ).
cnf(s12,plain,
( ~ spl0_20
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f624]) ).
cnf(s14,plain,
( spl0_6
| spl0_22
| ~ spl0_24 ),
inference(sat_conversion,[],[f668]) ).
cnf(s21,plain,
( ~ spl0_2
| spl0_28 ),
inference(sat_conversion,[],[f715]) ).
cnf(s23,plain,
( spl0_21
| spl0_30
| ~ spl0_31 ),
inference(sat_conversion,[],[f723]) ).
cnf(s24,plain,
( spl0_2
| spl0_30
| ~ spl0_32 ),
inference(sat_conversion,[],[f727]) ).
cnf(s27,plain,
( spl0_14
| spl0_35 ),
inference(sat_conversion,[],[f739]) ).
cnf(s28,plain,
( ~ spl0_7
| spl0_20
| spl0_24
| ~ spl0_28 ),
inference(sat_conversion,[],[f744]) ).
cnf(s32,plain,
( ~ spl0_2
| spl0_11 ),
inference(sat_conversion,[],[f774]) ).
cnf(s34,plain,
( spl0_25
| ~ spl0_28 ),
inference(sat_conversion,[],[f777]) ).
cnf(s35,plain,
( ~ spl0_21
| spl0_36 ),
inference(sat_conversion,[],[f788]) ).
cnf(s36,plain,
( spl0_17
| ~ spl0_21 ),
inference(sat_conversion,[],[f789]) ).
cnf(s37,plain,
( ~ spl0_7
| spl0_25 ),
inference(sat_conversion,[],[f802]) ).
cnf(s57,plain,
( ~ spl0_36
| spl0_39 ),
inference(sat_conversion,[],[f988]) ).
cnf(s59,plain,
( ~ spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f1082]) ).
cnf(s60,plain,
( ~ spl0_14
| spl0_27
| spl0_44 ),
inference(sat_conversion,[],[f1087]) ).
cnf(s62,plain,
( ~ spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f1095]) ).
cnf(s63,plain,
( ~ spl0_21
| spl0_38 ),
inference(sat_conversion,[],[f1098]) ).
cnf(s76,plain,
~ spl0_27,
inference(sat_conversion,[],[f1190]) ).
cnf(s80,plain,
( spl0_1
| spl0_49 ),
inference(sat_conversion,[],[f1207]) ).
cnf(s82,plain,
( spl0_5
| spl0_28 ),
inference(sat_conversion,[],[f1213]) ).
cnf(s85,plain,
( spl0_20
| spl0_44 ),
inference(sat_conversion,[],[f1221]) ).
cnf(s86,plain,
( ~ spl0_3
| ~ spl0_21
| ~ spl0_25
| spl0_27
| ~ spl0_36
| spl0_44 ),
inference(sat_conversion,[],[f1278]) ).
cnf(s93,plain,
~ spl0_29,
inference(sat_conversion,[],[f1349]) ).
cnf(s97,plain,
( ~ spl0_3
| spl0_36
| spl0_44 ),
inference(sat_conversion,[],[f1362]) ).
cnf(s100,plain,
( spl0_44
| ~ spl0_49 ),
inference(sat_conversion,[],[f1372]) ).
cnf(s102,plain,
( ~ spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f1381]) ).
cnf(s107,plain,
( ~ spl0_9
| spl0_35 ),
inference(sat_conversion,[],[f1563]) ).
cnf(s110,plain,
( ~ spl0_19
| ~ spl0_37
| spl0_56 ),
inference(sat_conversion,[],[f1662]) ).
cnf(s123,plain,
( ~ spl0_4
| ~ spl0_19
| spl0_57 ),
inference(sat_conversion,[],[f1700]) ).
cnf(s124,plain,
( ~ spl0_19
| ~ spl0_39
| spl0_57 ),
inference(sat_conversion,[],[f1701]) ).
cnf(s127,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_49
| ~ spl0_57 ),
inference(sat_conversion,[],[f1737]) ).
cnf(s129,plain,
( ~ spl0_35
| ~ spl0_37
| spl0_38
| spl0_60 ),
inference(sat_conversion,[],[f1744]) ).
cnf(s130,plain,
( ~ spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f1749]) ).
cnf(s131,plain,
( ~ spl0_13
| spl0_38
| spl0_39
| spl0_61 ),
inference(sat_conversion,[],[f1797]) ).
cnf(s132,plain,
( spl0_38
| spl0_39
| spl0_62 ),
inference(sat_conversion,[],[f1977]) ).
cnf(s146,plain,
( spl0_41
| ~ spl0_63 ),
inference(sat_conversion,[],[f2243]) ).
cnf(s149,plain,
( ~ spl0_9
| ~ spl0_24
| spl0_29
| spl0_72
| ~ spl0_73 ),
inference(sat_conversion,[],[f2283]) ).
cnf(s153,plain,
( ~ spl0_9
| spl0_29
| spl0_38
| spl0_70
| spl0_76 ),
inference(sat_conversion,[],[f2296]) ).
cnf(s163,plain,
~ spl0_41,
inference(sat_conversion,[],[f2410]) ).
cnf(s172,plain,
( spl0_73
| spl0_76 ),
inference(sat_conversion,[],[f2427]) ).
cnf(s174,plain,
( spl0_39
| ~ spl0_70 ),
inference(sat_conversion,[],[f2448]) ).
cnf(s175,plain,
( ~ spl0_19
| ~ spl0_70
| spl0_77
| spl0_78 ),
inference(sat_conversion,[],[f2455]) ).
cnf(s181,plain,
( spl0_78
| spl0_83 ),
inference(sat_conversion,[],[f2500]) ).
cnf(s183,plain,
( spl0_72
| ~ spl0_84 ),
inference(sat_conversion,[],[f2514]) ).
cnf(s184,plain,
( spl0_80
| ~ spl0_84 ),
inference(sat_conversion,[],[f2515]) ).
cnf(s185,plain,
( spl0_44
| ~ spl0_78 ),
inference(sat_conversion,[],[f2528]) ).
cnf(s193,plain,
( ~ spl0_2
| ~ spl0_61
| ~ spl0_68
| spl0_79
| ~ spl0_86 ),
inference(sat_conversion,[],[f2588]) ).
cnf(s196,plain,
( ~ spl0_62
| spl0_86
| spl0_88
| spl0_89
| spl0_90 ),
inference(sat_conversion,[],[f2609]) ).
cnf(s197,plain,
( spl0_44
| ~ spl0_88 ),
inference(sat_conversion,[],[f2623]) ).
cnf(s205,plain,
~ spl0_89,
inference(sat_conversion,[],[f2722]) ).
cnf(s230,plain,
~ spl0_90,
inference(sat_conversion,[],[f2837]) ).
cnf(s233,plain,
( ~ spl0_75
| ~ spl0_84 ),
inference(sat_conversion,[],[f2865]) ).
cnf(s234,plain,
( ~ spl0_22
| ~ spl0_74
| spl0_87 ),
inference(sat_conversion,[],[f2884]) ).
cnf(s247,plain,
( ~ spl0_7
| ~ spl0_28
| ~ spl0_85 ),
inference(sat_conversion,[],[f2948]) ).
cnf(s248,plain,
( ~ spl0_2
| ~ spl0_28
| ~ spl0_85 ),
inference(sat_conversion,[],[f2950]) ).
cnf(s251,plain,
( ~ spl0_10
| spl0_49 ),
inference(sat_conversion,[],[f2969]) ).
cnf(s275,plain,
~ spl0_79,
inference(sat_conversion,[],[f3227]) ).
cnf(s278,plain,
( ~ spl0_44
| ~ spl0_76
| spl0_85 ),
inference(sat_conversion,[],[f3260]) ).
cnf(s282,plain,
( ~ spl0_7
| ~ spl0_87 ),
inference(sat_conversion,[],[f3308]) ).
cnf(s284,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_87 ),
inference(sat_conversion,[],[f3317]) ).
cnf(s285,plain,
( ~ spl0_13
| spl0_38
| ~ spl0_70
| ~ spl0_87
| spl0_90
| spl0_96 ),
inference(sat_conversion,[],[f3319]) ).
cnf(s291,plain,
( ~ spl0_7
| spl0_37
| ~ spl0_39 ),
inference(sat_conversion,[],[f3369]) ).
cnf(s292,plain,
( ~ spl0_39
| ~ spl0_72
| spl0_77 ),
inference(sat_conversion,[],[f3371]) ).
cnf(s293,plain,
( ~ spl0_11
| spl0_29
| spl0_37
| ~ spl0_39 ),
inference(sat_conversion,[],[f3372]) ).
cnf(s294,plain,
( ~ spl0_2
| spl0_37
| ~ spl0_39 ),
inference(sat_conversion,[],[f3373]) ).
cnf(s295,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_28
| ~ spl0_39 ),
inference(sat_conversion,[],[f3398]) ).
cnf(s296,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_28
| ~ spl0_39 ),
inference(sat_conversion,[],[f3402]) ).
cnf(s299,plain,
( spl0_28
| ~ spl0_35
| ~ spl0_60
| spl0_109 ),
inference(sat_conversion,[],[f3419]) ).
cnf(s300,plain,
( ~ spl0_25
| spl0_28
| ~ spl0_35
| spl0_110 ),
inference(sat_conversion,[],[f3423]) ).
cnf(s305,plain,
( ~ spl0_13
| ~ spl0_25
| spl0_28
| spl0_37
| spl0_38 ),
inference(sat_conversion,[],[f3442]) ).
cnf(s306,plain,
( spl0_28
| spl0_29
| ~ spl0_35
| spl0_36
| spl0_38 ),
inference(sat_conversion,[],[f3443]) ).
cnf(s310,plain,
( spl0_20
| spl0_46 ),
inference(sat_conversion,[],[f3473]) ).
cnf(s313,plain,
( spl0_24
| spl0_38 ),
inference(sat_conversion,[],[f3483]) ).
cnf(s316,plain,
( ~ spl0_25
| ~ spl0_36
| spl0_37 ),
inference(sat_conversion,[],[f3500]) ).
cnf(s317,plain,
( spl0_88
| spl0_112 ),
inference(sat_conversion,[],[f3505]) ).
cnf(s319,plain,
( ~ spl0_14
| spl0_49 ),
inference(sat_conversion,[],[f3526]) ).
cnf(s320,plain,
( spl0_28
| spl0_49
| ~ spl0_62 ),
inference(sat_conversion,[],[f3532]) ).
cnf(s321,plain,
( ~ spl0_60
| ~ spl0_86
| spl0_90
| spl0_96 ),
inference(sat_conversion,[],[f3546]) ).
cnf(s324,plain,
( ~ spl0_37
| ~ spl0_86
| ~ spl0_97 ),
inference(sat_conversion,[],[f3609]) ).
cnf(s336,plain,
~ spl0_116,
inference(sat_conversion,[],[f3703]) ).
cnf(s340,plain,
( spl0_117
| spl0_118 ),
inference(sat_conversion,[],[f3720]) ).
cnf(s343,plain,
( ~ spl0_7
| ~ spl0_77 ),
inference(sat_conversion,[],[f3744]) ).
cnf(s344,plain,
( ~ spl0_46
| ~ spl0_77
| ~ spl0_78 ),
inference(sat_conversion,[],[f3747]) ).
cnf(s347,plain,
( ~ spl0_25
| ~ spl0_36
| ~ spl0_86
| ~ spl0_118 ),
inference(sat_conversion,[],[f3767]) ).
cnf(s348,plain,
( ~ spl0_44
| spl0_91
| ~ spl0_96 ),
inference(sat_conversion,[],[f3772]) ).
cnf(s350,plain,
( ~ spl0_38
| ~ spl0_91
| ~ spl0_118 ),
inference(sat_conversion,[],[f3788]) ).
cnf(s351,plain,
( spl0_103
| ~ spl0_107 ),
inference(sat_conversion,[],[f3801]) ).
cnf(s352,plain,
( spl0_97
| ~ spl0_107 ),
inference(sat_conversion,[],[f3802]) ).
cnf(s353,plain,
( spl0_86
| ~ spl0_107 ),
inference(sat_conversion,[],[f3804]) ).
cnf(s354,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_44
| spl0_86
| ~ spl0_96 ),
inference(sat_conversion,[],[f3831]) ).
cnf(s355,plain,
( ~ spl0_74
| ~ spl0_78
| spl0_85 ),
inference(sat_conversion,[],[f3880]) ).
cnf(s356,plain,
( ~ spl0_68
| ~ spl0_74
| spl0_87 ),
inference(sat_conversion,[],[f3881]) ).
cnf(s357,plain,
( ~ spl0_70
| ~ spl0_74
| spl0_77 ),
inference(sat_conversion,[],[f3882]) ).
cnf(s359,plain,
( ~ spl0_38
| ~ spl0_44
| ~ spl0_96
| ~ spl0_97 ),
inference(sat_conversion,[],[f3897]) ).
cnf(s361,plain,
( ~ spl0_37
| ~ spl0_46
| ~ spl0_49 ),
inference(sat_conversion,[],[f3899]) ).
cnf(s365,plain,
( spl0_29
| spl0_31
| spl0_42 ),
inference(sat_conversion,[],[f3912]) ).
cnf(s366,plain,
( spl0_111
| spl0_121 ),
inference(sat_conversion,[],[f3913]) ).
cnf(s367,plain,
( spl0_106
| spl0_122 ),
inference(sat_conversion,[],[f3914]) ).
cnf(s369,plain,
( ~ spl0_10
| ~ spl0_74
| spl0_85 ),
inference(sat_conversion,[],[f3927]) ).
cnf(s370,plain,
( spl0_37
| ~ spl0_39
| ~ spl0_42 ),
inference(sat_conversion,[],[f3934]) ).
cnf(s377,plain,
( ~ spl0_10
| ~ spl0_25
| ~ spl0_108 ),
inference(sat_conversion,[],[f4010]) ).
cnf(s378,plain,
( ~ spl0_38
| ~ spl0_70
| ~ spl0_85 ),
inference(sat_conversion,[],[f4018]) ).
cnf(s387,plain,
( ~ spl0_10
| ~ spl0_39
| ~ spl0_46
| ~ spl0_97 ),
inference(sat_conversion,[],[f4075]) ).
cnf(s390,plain,
( spl0_6
| ~ spl0_69
| ~ spl0_73
| spl0_96 ),
inference(sat_conversion,[],[f4110]) ).
cnf(s391,plain,
( spl0_21
| ~ spl0_69
| spl0_97
| ~ spl0_123 ),
inference(sat_conversion,[],[f4115]) ).
cnf(s392,plain,
( spl0_2
| ~ spl0_69
| spl0_86
| ~ spl0_124 ),
inference(sat_conversion,[],[f4119]) ).
cnf(s394,plain,
( spl0_6
| ~ spl0_73
| ~ spl0_75
| spl0_96 ),
inference(sat_conversion,[],[f4137]) ).
cnf(s396,plain,
( spl0_108
| spl0_124 ),
inference(sat_conversion,[],[f4150]) ).
cnf(s397,plain,
( spl0_108
| spl0_116
| spl0_124 ),
inference(sat_conversion,[],[f4151]) ).
cnf(s399,plain,
( spl0_25
| ~ spl0_121 ),
inference(sat_conversion,[],[f4153]) ).
cnf(s400,plain,
( spl0_25
| ~ spl0_122 ),
inference(sat_conversion,[],[f4154]) ).
cnf(s401,plain,
( ~ spl0_84
| spl0_108 ),
inference(sat_conversion,[],[f4167]) ).
cnf(s403,plain,
( spl0_76
| ~ spl0_84 ),
inference(sat_conversion,[],[f4168]) ).
cnf(s408,plain,
( ~ spl0_38
| ~ spl0_44
| ~ spl0_72
| ~ spl0_76 ),
inference(sat_conversion,[],[f4200]) ).
cnf(s411,plain,
( spl0_36
| ~ spl0_71
| spl0_84
| ~ spl0_111 ),
inference(sat_conversion,[],[f4202]) ).
cnf(s412,plain,
( ~ spl0_10
| spl0_46 ),
inference(sat_conversion,[],[f4204]) ).
cnf(s414,plain,
( ~ spl0_21
| ~ spl0_71 ),
inference(sat_conversion,[],[f4219]) ).
cnf(s417,plain,
( ~ spl0_14
| spl0_46 ),
inference(sat_conversion,[],[f4226]) ).
cnf(s423,plain,
( spl0_29
| spl0_32
| spl0_36 ),
inference(sat_conversion,[],[f4244]) ).
cnf(s424,plain,
( spl0_25
| ~ spl0_42 ),
inference(sat_conversion,[],[f4251]) ).
cnf(s431,plain,
( spl0_29
| spl0_72
| spl0_123 ),
inference(sat_conversion,[],[f4286]) ).
cnf(s434,plain,
( ~ spl0_68
| ~ spl0_85
| ~ spl0_96 ),
inference(sat_conversion,[],[f4310]) ).
cnf(s441,plain,
( ~ spl0_57
| ~ spl0_72
| ~ spl0_74
| spl0_88 ),
inference(sat_conversion,[],[f4400]) ).
cnf(s450,plain,
( ~ spl0_15
| spl0_29
| spl0_63 ),
inference(sat_conversion,[],[f4661]) ).
cnf(s489,plain,
( ~ spl0_17
| ~ spl0_68
| spl0_90
| spl0_135 ),
inference(sat_conversion,[],[f4766]) ).
cnf(s492,plain,
( ~ spl0_17
| ~ spl0_38
| spl0_90
| ~ spl0_91 ),
inference(sat_conversion,[],[f4769]) ).
cnf(s494,plain,
( ~ spl0_74
| spl0_79
| ~ spl0_91
| ~ spl0_109
| spl0_116 ),
inference(sat_conversion,[],[f4786]) ).
cnf(s502,plain,
( ~ spl0_74
| ~ spl0_80
| ~ spl0_91 ),
inference(sat_conversion,[],[f4874]) ).
cnf(s506,plain,
( ~ spl0_68
| ~ spl0_88
| spl0_136 ),
inference(sat_conversion,[],[f4920]) ).
cnf(s511,plain,
( ~ spl0_38
| ~ spl0_44
| spl0_90
| ~ spl0_96
| ~ spl0_103 ),
inference(sat_conversion,[],[f5101]) ).
cnf(s521,plain,
( spl0_116
| spl0_144
| spl0_145 ),
inference(sat_conversion,[],[f5700]) ).
cnf(s522,plain,
( spl0_116
| spl0_146
| spl0_147 ),
inference(sat_conversion,[],[f5707]) ).
cnf(s538,plain,
( ~ spl0_44
| ~ spl0_153
| spl0_154 ),
inference(sat_conversion,[],[f5816]) ).
cnf(s544,plain,
( ~ spl0_4
| ~ spl0_147
| spl0_150 ),
inference(sat_conversion,[],[f5882]) ).
cnf(s548,plain,
( ~ spl0_53
| ~ spl0_147
| spl0_150 ),
inference(sat_conversion,[],[f5896]) ).
cnf(s570,plain,
( ~ spl0_4
| ~ spl0_152
| spl0_154 ),
inference(sat_conversion,[],[f6035]) ).
cnf(s578,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_25
| ~ spl0_74
| ~ spl0_91
| ~ spl0_108
| ~ spl0_110
| spl0_116
| spl0_164 ),
inference(sat_conversion,[],[f7016]) ).
cnf(s589,plain,
( ~ spl0_3
| ~ spl0_25
| ~ spl0_108
| ~ spl0_147
| spl0_152 ),
inference(sat_conversion,[],[f7389]) ).
cnf(s619,plain,
( spl0_78
| ~ spl0_144
| spl0_174
| ~ spl0_175 ),
inference(sat_conversion,[],[f7533]) ).
cnf(s625,plain,
( spl0_157
| ~ spl0_174 ),
inference(sat_conversion,[],[f7589]) ).
cnf(s662,plain,
( spl0_77
| ~ spl0_150
| ~ spl0_176 ),
inference(sat_conversion,[],[f8209]) ).
cnf(s671,plain,
( spl0_79
| spl0_182
| spl0_183 ),
inference(sat_conversion,[],[f8256]) ).
cnf(s672,plain,
( spl0_79
| spl0_184
| spl0_185 ),
inference(sat_conversion,[],[f8263]) ).
cnf(s676,plain,
( ~ spl0_136
| ~ spl0_152
| ~ spl0_182 ),
inference(sat_conversion,[],[f8345]) ).
cnf(s678,plain,
( ~ spl0_87
| ~ spl0_147
| ~ spl0_182 ),
inference(sat_conversion,[],[f8354]) ).
cnf(s679,plain,
( ~ spl0_68
| ~ spl0_74
| ~ spl0_145
| ~ spl0_182 ),
inference(sat_conversion,[],[f8357]) ).
cnf(s685,plain,
( ~ spl0_53
| ~ spl0_182
| spl0_186 ),
inference(sat_conversion,[],[f8370]) ).
cnf(s689,plain,
( ~ spl0_106
| spl0_107
| spl0_156
| ~ spl0_183 ),
inference(sat_conversion,[],[f8407]) ).
cnf(s690,plain,
( ~ spl0_25
| ~ spl0_106
| spl0_107
| ~ spl0_108
| ~ spl0_147
| ~ spl0_183 ),
inference(sat_conversion,[],[f8408]) ).
cnf(s691,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_25
| ~ spl0_38
| ~ spl0_44
| spl0_72
| ~ spl0_74
| ~ spl0_91
| spl0_107
| ~ spl0_108
| ~ spl0_117
| ~ spl0_183 ),
inference(sat_conversion,[],[f8410]) ).
cnf(s692,plain,
( spl0_152
| spl0_175 ),
inference(sat_conversion,[],[f8417]) ).
cnf(s698,plain,
( ~ spl0_4
| ~ spl0_74
| ~ spl0_91
| spl0_108 ),
inference(sat_conversion,[],[f8468]) ).
cnf(s708,plain,
( ~ spl0_4
| ~ spl0_88
| spl0_91 ),
inference(sat_conversion,[],[f8489]) ).
cnf(s712,plain,
( ~ spl0_4
| spl0_86
| spl0_96 ),
inference(sat_conversion,[],[f8495]) ).
cnf(s713,plain,
( ~ spl0_74
| ~ spl0_78
| ~ spl0_136 ),
inference(sat_conversion,[],[f8497]) ).
cnf(s715,plain,
( ~ spl0_78
| ~ spl0_87
| ~ spl0_88 ),
inference(sat_conversion,[],[f8500]) ).
cnf(s716,plain,
( ~ spl0_4
| spl0_76
| spl0_108 ),
inference(sat_conversion,[],[f8501]) ).
cnf(s719,plain,
( ~ spl0_3
| spl0_78
| spl0_108 ),
inference(sat_conversion,[],[f8505]) ).
cnf(s728,plain,
( ~ spl0_4
| ~ spl0_25
| ~ spl0_74
| spl0_96
| ~ spl0_108 ),
inference(sat_conversion,[],[f8519]) ).
cnf(s730,plain,
( spl0_42
| ~ spl0_106
| spl0_107
| ~ spl0_117 ),
inference(sat_conversion,[],[f8522]) ).
cnf(s731,plain,
( ~ spl0_3
| ~ spl0_25
| ~ spl0_74
| spl0_88
| ~ spl0_108 ),
inference(sat_conversion,[],[f8523]) ).
cnf(s733,plain,
( ~ spl0_25
| ~ spl0_53
| ~ spl0_74
| spl0_96
| ~ spl0_108 ),
inference(sat_conversion,[],[f8528]) ).
cnf(s736,plain,
( ~ spl0_25
| ~ spl0_54
| ~ spl0_74
| spl0_88
| ~ spl0_108 ),
inference(sat_conversion,[],[f8531]) ).
cnf(s740,plain,
( ~ spl0_28
| ~ spl0_44
| spl0_127 ),
inference(sat_conversion,[],[f8542]) ).
cnf(s742,plain,
( ~ spl0_4
| ~ spl0_78
| spl0_85 ),
inference(sat_conversion,[],[f8563]) ).
cnf(s748,plain,
( ~ spl0_36
| ~ spl0_38
| ~ spl0_127 ),
inference(sat_conversion,[],[f8603]) ).
cnf(s749,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_73
| spl0_116
| spl0_121 ),
inference(sat_conversion,[],[f8604]) ).
cnf(s753,plain,
( ~ spl0_25
| ~ spl0_86
| spl0_138 ),
inference(sat_conversion,[],[f8672]) ).
cnf(s754,plain,
( ~ spl0_68
| ~ spl0_122
| spl0_193 ),
inference(sat_conversion,[],[f8699]) ).
cnf(s756,plain,
( ~ spl0_4
| ~ spl0_122
| spl0_138 ),
inference(sat_conversion,[],[f8701]) ).
cnf(s764,plain,
( ~ spl0_25
| ~ spl0_157
| spl0_194 ),
inference(sat_conversion,[],[f8747]) ).
cnf(s766,plain,
( ~ spl0_37
| ~ spl0_157
| ~ spl0_159 ),
inference(sat_conversion,[],[f8796]) ).
cnf(s768,plain,
( ~ spl0_4
| ~ spl0_37
| ~ spl0_38
| ~ spl0_44
| ~ spl0_159 ),
inference(sat_conversion,[],[f8826]) ).
cnf(s795,plain,
( spl0_159
| ~ spl0_174 ),
inference(sat_conversion,[],[f8935]) ).
cnf(s810,plain,
( spl0_107
| ~ spl0_112
| spl0_152
| ~ spl0_183 ),
inference(sat_conversion,[],[f9041]) ).
cnf(s812,plain,
( ~ spl0_85
| spl0_107
| ~ spl0_112
| ~ spl0_147
| ~ spl0_183 ),
inference(sat_conversion,[],[f9043]) ).
cnf(s813,plain,
( spl0_107
| ~ spl0_117
| spl0_159
| ~ spl0_183 ),
inference(sat_conversion,[],[f9044]) ).
cnf(s814,plain,
( spl0_68
| spl0_69
| spl0_79 ),
inference(sat_conversion,[],[f9047]) ).
cnf(s815,plain,
( ~ spl0_74
| ~ spl0_108
| ~ spl0_138 ),
inference(sat_conversion,[],[f9048]) ).
cnf(s817,plain,
( ~ spl0_1
| ~ spl0_8
| spl0_54 ),
inference(sat_conversion,[],[f9050]) ).
cnf(s818,plain,
( ~ spl0_1
| ~ spl0_8
| spl0_53 ),
inference(sat_conversion,[],[f9051]) ).
cnf(s819,plain,
( spl0_2
| ~ spl0_32
| ~ spl0_71
| spl0_108 ),
inference(sat_conversion,[],[f9052]) ).
cnf(s822,plain,
( ~ spl0_8
| ~ spl0_32
| spl0_70
| spl0_79
| ~ spl0_124 ),
inference(sat_conversion,[],[f9061]) ).
cnf(s823,plain,
( ~ spl0_8
| ~ spl0_32
| spl0_72
| spl0_79
| ~ spl0_124 ),
inference(sat_conversion,[],[f9062]) ).
cnf(s824,plain,
( spl0_2
| ~ spl0_32
| spl0_86
| ~ spl0_117 ),
inference(sat_conversion,[],[f9063]) ).
cnf(s827,plain,
( ~ spl0_25
| ~ spl0_49
| spl0_127 ),
inference(sat_conversion,[],[f9073]) ).
cnf(s834,plain,
( spl0_111
| spl0_116
| spl0_121 ),
inference(sat_conversion,[],[f9102]) ).
cnf(s835,plain,
( ~ spl0_28
| ~ spl0_85
| ~ spl0_121 ),
inference(sat_conversion,[],[f9110]) ).
cnf(s836,plain,
( ~ spl0_74
| ~ spl0_121
| ~ spl0_193 ),
inference(sat_conversion,[],[f9121]) ).
cnf(s838,plain,
( ~ spl0_39
| ~ spl0_97
| spl0_137 ),
inference(sat_conversion,[],[f9157]) ).
cnf(s843,plain,
( ~ spl0_39
| ~ spl0_159
| spl0_195 ),
inference(sat_conversion,[],[f9188]) ).
cnf(s849,plain,
( ~ spl0_38
| ~ spl0_44
| ~ spl0_153
| ~ spl0_159 ),
inference(sat_conversion,[],[f9223]) ).
cnf(s850,plain,
( spl0_74
| spl0_75
| spl0_79 ),
inference(sat_conversion,[],[f9224]) ).
cnf(s852,plain,
( ~ spl0_76
| ~ spl0_108
| ~ spl0_127 ),
inference(sat_conversion,[],[f9227]) ).
cnf(s882,plain,
( ~ spl0_156
| ~ spl0_182
| ~ spl0_193 ),
inference(sat_conversion,[],[f9473]) ).
cnf(s887,plain,
( spl0_88
| spl0_174
| ~ spl0_175
| ~ spl0_185 ),
inference(sat_conversion,[],[f9506]) ).
cnf(s890,plain,
( ~ spl0_71
| ~ spl0_75
| spl0_107
| ~ spl0_117 ),
inference(sat_conversion,[],[f9522]) ).
cnf(s892,plain,
( ~ spl0_69
| ~ spl0_107 ),
inference(sat_conversion,[],[f9533]) ).
cnf(s893,plain,
( ~ spl0_38
| ~ spl0_44
| ~ spl0_97
| ~ spl0_107 ),
inference(sat_conversion,[],[f9540]) ).
cnf(s898,plain,
( spl0_70
| spl0_79
| spl0_199 ),
inference(sat_conversion,[],[f9547]) ).
cnf(s900,plain,
( spl0_78
| ~ spl0_144
| spl0_174
| ~ spl0_175 ),
inference(sat_conversion,[],[f9552]) ).
cnf(s901,plain,
( spl0_70
| spl0_71
| spl0_79 ),
inference(sat_conversion,[],[f9553]) ).
cnf(s903,plain,
( ~ spl0_69
| ~ spl0_71
| spl0_84
| spl0_97 ),
inference(sat_conversion,[],[f9555]) ).
cnf(s906,plain,
( ~ spl0_84
| ~ spl0_144 ),
inference(sat_conversion,[],[f9581]) ).
cnf(s912,plain,
( spl0_156
| spl0_200 ),
inference(sat_conversion,[],[f9615]) ).
cnf(s915,plain,
( ~ spl0_77
| ~ spl0_147
| ~ spl0_159 ),
inference(sat_conversion,[],[f9631]) ).
cnf(s921,plain,
( ~ spl0_72
| ~ spl0_145
| ~ spl0_195 ),
inference(sat_conversion,[],[f9676]) ).
cnf(s923,plain,
( ~ spl0_74
| ~ spl0_145
| ~ spl0_186 ),
inference(sat_conversion,[],[f9699]) ).
cnf(s924,plain,
( ~ spl0_68
| ~ spl0_150
| ~ spl0_184 ),
inference(sat_conversion,[],[f9701]) ).
cnf(s925,plain,
( spl0_84
| ~ spl0_111
| ~ spl0_146
| spl0_156 ),
inference(sat_conversion,[],[f9702]) ).
cnf(s929,plain,
( spl0_96
| ~ spl0_107 ),
inference(sat_conversion,[],[f9717]) ).
cnf(s931,plain,
( spl0_44
| ~ spl0_152 ),
inference(sat_conversion,[],[f9724]) ).
cnf(s937,plain,
( spl0_25
| ~ spl0_156 ),
inference(sat_conversion,[],[f9748]) ).
cnf(s941,plain,
( ~ spl0_17
| ~ spl0_70
| ~ spl0_150
| spl0_176 ),
inference(sat_conversion,[],[f9784]) ).
cnf(s951,plain,
( spl0_44
| ~ spl0_46 ),
inference(sat_conversion,[],[f9807]) ).
cnf(s965,plain,
( ~ spl0_46
| ~ spl0_118
| ~ spl0_136 ),
inference(sat_conversion,[],[f9899]) ).
cnf(s969,plain,
( ~ spl0_28
| ~ spl0_154
| ~ spl0_156 ),
inference(sat_conversion,[],[f9947]) ).
cnf(s985,plain,
( spl0_107
| ~ spl0_112
| spl0_153
| ~ spl0_183 ),
inference(sat_conversion,[],[f10048]) ).
cnf(s997,plain,
( ~ spl0_70
| ~ spl0_74
| ~ spl0_135 ),
inference(sat_conversion,[],[f10154]) ).
cnf(s998,plain,
( ~ spl0_70
| ~ spl0_87
| ~ spl0_118 ),
inference(sat_conversion,[],[f10164]) ).
cnf(s999,plain,
( spl0_108
| ~ spl0_144
| spl0_174
| ~ spl0_200 ),
inference(sat_conversion,[],[f10165]) ).
cnf(s1006,plain,
( ~ spl0_86
| ~ spl0_96
| ~ spl0_127 ),
inference(sat_conversion,[],[f10211]) ).
cnf(s1022,plain,
( spl0_39
| ~ spl0_118 ),
inference(sat_conversion,[],[f10279]) ).
cnf(s1031,plain,
( ~ spl0_37
| ~ spl0_72
| ~ spl0_108 ),
inference(sat_conversion,[],[f10361]) ).
cnf(s1045,plain,
( ~ spl0_28
| ~ spl0_91
| ~ spl0_122 ),
inference(sat_conversion,[],[f10443]) ).
cnf(s1049,plain,
( ~ spl0_49
| ~ spl0_88
| ~ spl0_138 ),
inference(sat_conversion,[],[f10474]) ).
cnf(s1050,plain,
( ~ spl0_56
| spl0_78
| ~ spl0_108 ),
inference(sat_conversion,[],[f10497]) ).
cnf(s1053,plain,
( spl0_6
| ~ spl0_24
| ~ spl0_108
| ~ spl0_127
| ~ spl0_199 ),
inference(sat_conversion,[],[f10534]) ).
cnf(s1054,plain,
( ~ spl0_88
| ~ spl0_96
| spl0_136 ),
inference(sat_conversion,[],[f10581]) ).
cnf(s1057,plain,
( ~ spl0_57
| ~ spl0_72
| ~ spl0_145
| spl0_152 ),
inference(sat_conversion,[],[f10586]) ).
cnf(s1058,plain,
( ~ spl0_75
| spl0_78
| spl0_107
| ~ spl0_112 ),
inference(sat_conversion,[],[f10587]) ).
cnf(s1059,plain,
( ~ spl0_75
| ~ spl0_106
| spl0_107
| spl0_108 ),
inference(sat_conversion,[],[f10588]) ).
cnf(s1060,plain,
( ~ spl0_75
| ~ spl0_106
| spl0_107
| spl0_121 ),
inference(sat_conversion,[],[f10589]) ).
cnf(s1061,plain,
( ~ spl0_75
| spl0_76
| spl0_107
| ~ spl0_112 ),
inference(sat_conversion,[],[f10590]) ).
cnf(s1062,plain,
( ~ spl0_72
| ~ spl0_147
| spl0_150 ),
inference(sat_conversion,[],[f10591]) ).
cnf(s1064,plain,
( spl0_29
| spl0_38
| ~ spl0_164 ),
inference(sat_conversion,[],[f10600]) ).
cnf(s1068,plain,
( ~ spl0_72
| ~ spl0_78
| spl0_85 ),
inference(sat_conversion,[],[f10616]) ).
cnf(s1070,plain,
( spl0_89
| spl0_106
| spl0_122 ),
inference(sat_conversion,[],[f10626]) ).
cnf(s1077,plain,
( ~ spl0_68
| ~ spl0_77
| ~ spl0_97 ),
inference(sat_conversion,[],[f10690]) ).
cnf(s1078,plain,
( ~ spl0_68
| ~ spl0_72
| spl0_87 ),
inference(sat_conversion,[],[f10691]) ).
cnf(s1082,plain,
( spl0_38
| spl0_107
| ~ spl0_112
| ~ spl0_117 ),
inference(sat_conversion,[],[f10718]) ).
cnf(s1083,plain,
( spl0_46
| spl0_107
| ~ spl0_112
| ~ spl0_117 ),
inference(sat_conversion,[],[f10719]) ).
cnf(s1093,plain,
( ~ spl0_137
| ~ spl0_159
| ~ spl0_182 ),
inference(sat_conversion,[],[f10781]) ).
cnf(s1097,plain,
( ~ spl0_138
| ~ spl0_157
| ~ spl0_182 ),
inference(sat_conversion,[],[f10814]) ).
cnf(s1103,plain,
( ~ spl0_49
| ~ spl0_152
| ~ spl0_194 ),
inference(sat_conversion,[],[f10875]) ).
cnf(s1104,plain,
( ~ spl0_78
| ~ spl0_150
| ~ spl0_152 ),
inference(sat_conversion,[],[f10885]) ).
cnf(s1110,plain,
( ~ spl0_86
| ~ spl0_122
| spl0_193 ),
inference(sat_conversion,[],[f10950]) ).
cnf(s1111,plain,
( ~ spl0_69
| ~ spl0_83
| spl0_84
| spl0_96 ),
inference(sat_conversion,[],[f10951]) ).
cnf(s1112,plain,
( ~ spl0_69
| ~ spl0_83
| spl0_84
| spl0_88 ),
inference(sat_conversion,[],[f10952]) ).
cnf(s1120,plain,
( ~ spl0_86
| ~ spl0_88
| spl0_136 ),
inference(sat_conversion,[],[f10988]) ).
cnf(s1132,plain,
( ~ spl0_36
| ~ spl0_70
| ~ spl0_72
| ~ spl0_121 ),
inference(sat_conversion,[],[f11090]) ).
cnf(s1133,plain,
( spl0_21
| ~ spl0_75
| spl0_97
| ~ spl0_123 ),
inference(sat_conversion,[],[f11091]) ).
cnf(s1134,plain,
( spl0_72
| ~ spl0_75
| spl0_107
| ~ spl0_117 ),
inference(sat_conversion,[],[f11092]) ).
cnf(s1135,plain,
( spl0_2
| ~ spl0_75
| spl0_86
| ~ spl0_124 ),
inference(sat_conversion,[],[f11093]) ).
cnf(s1138,plain,
( spl0_90
| spl0_117
| spl0_118 ),
inference(sat_conversion,[],[f11122]) ).
cnf(s1141,plain,
( ~ spl0_36
| ~ spl0_118
| ~ spl0_138 ),
inference(sat_conversion,[],[f11138]) ).
cnf(s1142,plain,
( ~ spl0_25
| ~ spl0_36
| ~ spl0_70
| ~ spl0_108 ),
inference(sat_conversion,[],[f11148]) ).
cnf(s1155,plain,
( ~ spl0_37
| ~ spl0_106
| spl0_107
| ~ spl0_159
| ~ spl0_183 ),
inference(sat_conversion,[],[f11243]) ).
cnf(s1156,plain,
( ~ spl0_83
| spl0_84
| ~ spl0_146
| spl0_153 ),
inference(sat_conversion,[],[f11246]) ).
cnf(s1157,plain,
( ~ spl0_69
| spl0_84
| spl0_86
| ~ spl0_111 ),
inference(sat_conversion,[],[f11247]) ).
cnf(s1158,plain,
( ~ spl0_69
| spl0_84
| ~ spl0_111
| spl0_122 ),
inference(sat_conversion,[],[f11248]) ).
cnf(s1159,plain,
( spl0_46
| ~ spl0_71
| ~ spl0_83
| spl0_84 ),
inference(sat_conversion,[],[f11249]) ).
cnf(s1160,plain,
( spl0_84
| ~ spl0_111
| ~ spl0_146
| spl0_157 ),
inference(sat_conversion,[],[f11250]) ).
cnf(s1161,plain,
( spl0_84
| ~ spl0_111
| ~ spl0_146
| spl0_156 ),
inference(sat_conversion,[],[f11251]) ).
cnf(s1162,plain,
( ~ spl0_83
| spl0_84
| ~ spl0_146
| spl0_152 ),
inference(sat_conversion,[],[f11253]) ).
cnf(s1163,plain,
( spl0_42
| ~ spl0_71
| spl0_84
| ~ spl0_111 ),
inference(sat_conversion,[],[f11254]) ).
cnf(s1164,plain,
( spl0_38
| ~ spl0_71
| ~ spl0_83
| spl0_84 ),
inference(sat_conversion,[],[f11255]) ).
cnf(s1165,plain,
( ~ spl0_71
| spl0_84
| ~ spl0_146
| spl0_159 ),
inference(sat_conversion,[],[f11256]) ).
cnf(s1172,plain,
( ~ spl0_39
| ~ spl0_46
| ~ spl0_72
| ~ spl0_76 ),
inference(sat_conversion,[],[f11309]) ).
cnf(s1185,plain,
( ~ spl0_62
| spl0_86
| spl0_88 ),
inference(rat,[],[s196,s230,s205]) ).
cnf(s1187,plain,
( ~ spl0_2
| ~ spl0_61
| ~ spl0_68
| ~ spl0_86 ),
inference(rat,[],[s193,s275]) ).
cnf(s1191,plain,
~ spl0_63,
inference(rat,[],[s146,s163]) ).
cnf(s1194,plain,
~ spl0_15,
inference(rat,[],[s450,s1191,s93]) ).
cnf(s1196,plain,
( ~ spl0_14
| spl0_44 ),
inference(rat,[],[s60,s76]) ).
cnf(s1204,plain,
( spl0_1
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(rat,[],[s9,s1194]) ).
cnf(s1206,plain,
( ~ spl0_75
| ~ spl0_73
| ~ spl0_124
| spl0_6
| ~ spl0_127
| spl0_2 ),
inference(rat,[],[s1006,s394,s1135]) ).
cnf(s1207,plain,
( ~ spl0_10
| ~ spl0_8
| spl0_6
| ~ spl0_28
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s1049,s317,s753,s1082,s824,s340,s998,s234,s14,s313,s378,s369,s850,s1206,s352,s172,s387,s1172,s174,s823,s822,s423,s316,s397,s361,s377,s412,s34,s740,s100,s275,s93,s336]) ).
cnf(s1208,plain,
( ~ spl0_75
| spl0_76
| ~ spl0_32
| ~ spl0_46
| spl0_6
| ~ spl0_127
| spl0_2 ),
inference(rat,[],[s1054,s965,s317,s1138,s1061,s824,s353,s1006,s394,s172,s230]) ).
cnf(s1209,plain,
( ~ spl0_145
| ~ spl0_117
| ~ spl0_68
| spl0_107
| ~ spl0_74
| ~ spl0_72
| ~ spl0_39 ),
inference(rat,[],[s813,s671,s843,s679,s921,s275]) ).
cnf(s1210,plain,
( spl0_159
| ~ spl0_144
| ~ spl0_193
| ~ spl0_117
| spl0_108
| spl0_107 ),
inference(rat,[],[s882,s912,s671,s999,s813,s795,s275]) ).
cnf(s1211,plain,
( ~ spl0_86
| ~ spl0_74
| ~ spl0_83
| spl0_84
| ~ spl0_72
| spl0_37
| ~ spl0_39
| ~ spl0_8
| ~ spl0_28
| ~ spl0_49 ),
inference(rat,[],[s1156,s522,s849,s915,s1210,s521,s1209,s1110,s1070,s1082,s730,s340,s998,s822,s1078,s317,s397,s814,s1049,s815,s1111,s929,s753,s1006,s740,s100,s370,s423,s316,s34,s292,s336,s205,s275,s93]) ).
cnf(s1212,plain,
( ~ spl0_147
| ~ spl0_106
| ~ spl0_108
| ~ spl0_87
| spl0_107
| ~ spl0_25 ),
inference(rat,[],[s671,s690,s678,s275]) ).
cnf(s1213,plain,
( ~ spl0_68
| ~ spl0_118
| spl0_107
| ~ spl0_74
| ~ spl0_83
| spl0_76
| ~ spl0_72
| ~ spl0_32
| spl0_42
| ~ spl0_9
| ~ spl0_25
| spl0_2
| ~ spl0_44 ),
inference(rat,[],[s849,s1156,s1165,s522,s1212,s367,s754,s836,s834,s819,s1163,s153,s901,s998,s1078,s403,s336,s93,s275]) ).
cnf(s1214,plain,
( ~ spl0_72
| ~ spl0_46
| ~ spl0_39
| ~ spl0_8
| spl0_6
| ~ spl0_28
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s1054,s1112,s390,s814,s1213,s965,s1138,s824,s353,s1211,s850,s1208,s181,s172,s403,s344,s1172,s292,s740,s100,s5,s1207,s370,s423,s316,s361,s34,s275,s230,s93]) ).
cnf(s1215,plain,
( ~ spl0_46
| ~ spl0_39
| ~ spl0_8
| spl0_6
| ~ spl0_28
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s849,s1156,s1165,s522,s1212,s367,s181,s754,s355,s836,s835,s834,s1163,s901,s998,s356,s814,s390,s1138,s354,s824,s353,s753,s815,s313,s850,s149,s1208,s172,s852,s396,s823,s183,s1214,s24,s423,s370,s316,s361,s34,s740,s100,s5,s1207,s336,s275,s230,s93]) ).
cnf(s1216,plain,
( ~ spl0_138
| spl0_107
| ~ spl0_74
| ~ spl0_72
| spl0_46
| ~ spl0_39
| ~ spl0_49 ),
inference(rat,[],[s35,s1141,s11,s1138,s124,s1083,s441,s317,s1049,s310,s230]) ).
cnf(s1217,plain,
( spl0_159
| ~ spl0_144
| ~ spl0_136
| spl0_78
| ~ spl0_117
| spl0_107 ),
inference(rat,[],[s676,s692,s671,s900,s813,s795,s275]) ).
cnf(s1218,plain,
( ~ spl0_117
| spl0_86
| spl0_107
| ~ spl0_74
| ~ spl0_72
| spl0_46
| ~ spl0_39
| spl0_6
| ~ spl0_127
| ~ spl0_25
| spl0_2 ),
inference(rat,[],[s1160,s522,s766,s915,s1217,s366,s1132,s901,s521,s1159,s1209,s506,s181,s814,s715,s392,s234,s397,s401,s14,s1031,s313,s316,s748,s317,s423,s1083,s824,s292,s336,s275,s93]) ).
cnf(s1219,plain,
( ~ spl0_84
| ~ spl0_127 ),
inference(rat,[],[s852,s401,s403]) ).
cnf(s1220,plain,
( ~ spl0_87
| ~ spl0_118
| ~ spl0_74
| ~ spl0_72
| spl0_46
| ~ spl0_39
| spl0_84 ),
inference(rat,[],[s441,s715,s124,s181,s11,s1159,s414,s901,s998,s310,s275]) ).
cnf(s1221,plain,
( spl0_22
| ~ spl0_20
| spl0_6
| ~ spl0_127 ),
inference(rat,[],[s748,s35,s313,s12,s14]) ).
cnf(s1222,plain,
( spl0_107
| ~ spl0_74
| ~ spl0_72
| spl0_46
| ~ spl0_39
| spl0_6
| ~ spl0_28
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s753,s1218,s1216,s34,s340,s1220,s234,s1221,s310,s1219,s740,s100]) ).
cnf(s1223,plain,
( ~ spl0_107
| ~ spl0_127 ),
inference(rat,[],[s1006,s353,s929]) ).
cnf(s1224,plain,
( ~ spl0_147
| spl0_174
| ~ spl0_57
| ~ spl0_193
| ~ spl0_78
| ~ spl0_85
| spl0_108
| ~ spl0_112
| ~ spl0_72
| spl0_107 ),
inference(rat,[],[s999,s912,s521,s882,s1057,s671,s1104,s812,s1062,s336,s275]) ).
cnf(s1225,plain,
( ~ spl0_157
| ~ spl0_138
| ~ spl0_28
| ~ spl0_49 ),
inference(rat,[],[s810,s671,s1103,s1097,s764,s34,s1223,s740,s100,s317,s1049,s275]) ).
cnf(s1226,plain,
( ~ spl0_86
| ~ spl0_75
| ~ spl0_72
| ~ spl0_20
| ~ spl0_39
| spl0_6
| ~ spl0_28
| ~ spl0_49 ),
inference(rat,[],[s522,s1224,s1160,s625,s1225,s124,s1110,s11,s366,s1070,s63,s835,s1059,s1058,s408,s278,s852,s317,s172,s1049,s394,s753,s1006,s34,s1219,s1223,s740,s100,s336,s205]) ).
cnf(s1227,plain,
( ~ spl0_147
| spl0_78
| ~ spl0_106
| ~ spl0_57
| ~ spl0_136
| ~ spl0_108
| ~ spl0_77
| ~ spl0_72
| spl0_107
| ~ spl0_25 ),
inference(rat,[],[s521,s619,s1057,s692,s676,s671,s795,s690,s915,s336,s275]) ).
cnf(s1228,plain,
( ~ spl0_72
| spl0_46
| ~ spl0_39
| spl0_6
| ~ spl0_28
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s689,s969,s671,s538,s676,s1156,s1162,s522,s1227,s181,s1068,s835,s1060,s367,s124,s1045,s11,s1054,s348,s35,s317,s394,s316,s1061,s172,s1031,s852,s396,s1135,s1226,s850,s1222,s292,s34,s1219,s1223,s740,s100,s310,s275,s336]) ).
cnf(s1229,plain,
( ~ spl0_138
| spl0_72
| spl0_46
| ~ spl0_8
| ~ spl0_127
| ~ spl0_49 ),
inference(rat,[],[s850,s1061,s815,s852,s396,s823,s423,s1141,s1138,s1083,s317,s1049,s1223,s275,s93,s230]) ).
cnf(s1230,plain,
( ~ spl0_147
| ~ spl0_112
| ~ spl0_85
| ~ spl0_87
| spl0_107 ),
inference(rat,[],[s671,s678,s812,s275]) ).
cnf(s1231,plain,
( ~ spl0_124
| ~ spl0_87
| spl0_86
| spl0_72
| spl0_46
| ~ spl0_9
| ~ spl0_8
| ~ spl0_28
| spl0_2
| ~ spl0_44 ),
inference(rat,[],[s766,s1160,s1165,s522,s1230,s317,s715,s181,s1159,s901,s285,s366,s434,s835,s278,s172,s149,s313,s316,s748,s814,s423,s392,s823,s34,s1219,s1223,s740,s7,s417,s336,s275,s230,s93]) ).
cnf(s1232,plain,
( ~ spl0_74
| spl0_86
| spl0_72
| ~ spl0_22
| spl0_46
| ~ spl0_9
| ~ spl0_8
| ~ spl0_28
| spl0_2
| ~ spl0_44 ),
inference(rat,[],[s835,s355,s834,s181,s411,s1159,s901,s998,s1138,s824,s423,s748,s313,s149,s172,s852,s396,s1231,s234,s1219,s740,s336,s275,s230,s93]) ).
cnf(s1233,plain,
( ~ spl0_39
| ~ spl0_8
| spl0_6
| ~ spl0_28
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s350,s348,s313,s394,s149,s172,s852,s396,s1138,s1135,s1134,s850,s1232,s753,s1229,s1228,s1221,s310,s1215,s34,s1223,s740,s100,s5,s1207,s93,s230,s275]) ).
cnf(s1234,plain,
( spl0_39
| spl0_6
| ~ spl0_127
| spl0_2 ),
inference(rat,[],[s819,s1053,s423,s313,s898,s901,s57,s130,s174,s93,s275]) ).
cnf(s1235,plain,
( spl0_6
| ~ spl0_28
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s359,s394,s1133,s35,s850,s748,s234,s313,s1221,s149,s310,s172,s431,s361,s5,s278,s292,s291,s295,s247,s282,s343,s4,s1233,s1234,s740,s100,s275,s93]) ).
cnf(s1236,plain,
( spl0_86
| ~ spl0_72
| ~ spl0_70
| ~ spl0_32
| ~ spl0_124
| spl0_2 ),
inference(rat,[],[s1078,s998,s814,s1138,s392,s824,s275,s230]) ).
cnf(s1237,plain,
( ~ spl0_28
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s1061,s317,s850,s1049,s1211,s753,s1236,s181,s344,s1172,s292,s823,s4,s295,s174,s901,s819,s423,s316,s397,s361,s377,s417,s59,s62,s1235,s1223,s1219,s740,s34,s100,s275,s93,s336]) ).
cnf(s1238,plain,
( ~ spl0_25
| ~ spl0_87
| ~ spl0_86
| ~ spl0_85
| ~ spl0_8
| spl0_107
| ~ spl0_10
| ~ spl0_49 ),
inference(rat,[],[s340,s1082,s998,s378,s317,s822,s1049,s423,s397,s753,s316,s377,s361,s412,s275,s93,s336]) ).
cnf(s1239,plain,
( ~ spl0_86
| ~ spl0_72
| ~ spl0_85
| ~ spl0_39
| ~ spl0_127
| ~ spl0_10
| ~ spl0_49 ),
inference(rat,[],[s998,s901,s1138,s1163,s730,s366,s367,s399,s400,s1238,s1078,s814,s1111,s1006,s1219,s1223,s370,s4,s291,s361,s181,s344,s292,s412,s275,s230]) ).
cnf(s1240,plain,
( ~ spl0_25
| spl0_86
| ~ spl0_72
| ~ spl0_8
| spl0_37
| ~ spl0_10
| spl0_2 ),
inference(rat,[],[s1236,s822,s423,s397,s316,s377,s275,s93,s336]) ).
cnf(s1241,plain,
( ~ spl0_72
| ~ spl0_85
| ~ spl0_39
| ~ spl0_127
| ~ spl0_10
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s998,s1078,s901,s814,s1138,s1163,s1157,s730,s366,s367,s399,s400,s1240,s1239,s1219,s1223,s370,s4,s291,s361,s412,s275,s230]) ).
cnf(s1242,plain,
( ~ spl0_25
| spl0_72
| ~ spl0_8
| spl0_37
| ~ spl0_10 ),
inference(rat,[],[s823,s423,s397,s316,s377,s275,s93,s336]) ).
cnf(s1243,plain,
( ~ spl0_74
| ~ spl0_39
| ~ spl0_127
| ~ spl0_10
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s998,s356,s901,s814,s1138,s1163,s1158,s730,s366,s367,s399,s400,s1242,s1241,s369,s1219,s1223,s370,s4,s291,s361,s412,s275,s230]) ).
cnf(s1244,plain,
( ~ spl0_25
| spl0_138
| ~ spl0_72
| ~ spl0_8
| spl0_37
| ~ spl0_10
| spl0_2 ),
inference(rat,[],[s1240,s753]) ).
cnf(s1245,plain,
( spl0_25
| ~ spl0_75
| spl0_107 ),
inference(rat,[],[s1060,s367,s399,s400]) ).
cnf(s1246,plain,
( ~ spl0_39
| ~ spl0_127
| ~ spl0_10
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s317,s1061,s1049,s1172,s1244,s1242,s1245,s850,s1243,s4,s291,s361,s412,s1223,s275]) ).
cnf(s1247,plain,
( ~ spl0_127
| ~ spl0_10
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s713,s1120,s181,s850,s317,s824,s1164,s890,s1082,s423,s901,s340,s57,s130,s174,s1022,s1246,s1223,s1219,s275,s93]) ).
cnf(s1248,plain,
( ~ spl0_72
| ~ spl0_118
| ~ spl0_39
| ~ spl0_111
| spl0_122
| spl0_42
| ~ spl0_46 ),
inference(rat,[],[s998,s1078,s901,s814,s1163,s1158,s403,s1172,s275]) ).
cnf(s1249,plain,
( ~ spl0_39
| spl0_25
| ~ spl0_10 ),
inference(rat,[],[s998,s356,s901,s814,s1163,s1158,s183,s1248,s1138,s850,s730,s1245,s352,s387,s412,s424,s367,s400,s366,s399,s275,s230]) ).
cnf(s1250,plain,
( ~ spl0_10
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s502,s850,s348,s184,s233,s929,s411,s730,s901,s340,s57,s174,s1022,s1249,s366,s367,s399,s400,s424,s827,s1247,s100,s275]) ).
cnf(s1251,plain,
( ~ spl0_46
| ~ spl0_25
| ~ spl0_72
| ~ spl0_74
| ~ spl0_127
| ~ spl0_39
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s354,s1006,s24,s728,s306,s423,s716,s316,s1172,s361,s100,s3,s59,s82,s1237,s107,s5,s1250,s93]) ).
cnf(s1252,plain,
( ~ spl0_25
| ~ spl0_72
| ~ spl0_74
| ~ spl0_127
| ~ spl0_39
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s1138,s1220,s1218,s234,s753,s1221,s1216,s310,s1251,s59,s1250,s1219,s1223,s230]) ).
cnf(s1253,plain,
( ~ spl0_72
| ~ spl0_74
| ~ spl0_127
| ~ spl0_39
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s1078,s1220,s1172,s814,s1138,s172,s1158,s730,s749,s366,s367,s399,s400,s424,s1252,s82,s1237,s5,s1250,s1219,s1223,s275,s230,s336]) ).
cnf(s1254,plain,
( spl0_37
| ~ spl0_25
| spl0_72
| ~ spl0_74
| ~ spl0_127
| ~ spl0_39
| ~ spl0_35
| ~ spl0_4
| spl0_28
| spl0_2
| ~ spl0_44 ),
inference(rat,[],[s354,s1006,s728,s396,s823,s24,s306,s423,s4,s316,s291,s275,s93]) ).
cnf(s1255,plain,
( ~ spl0_25
| ~ spl0_74
| ~ spl0_127
| ~ spl0_39
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s24,s423,s354,s748,s1064,s578,s698,s348,s712,s753,s1229,s4,s282,s234,s1221,s7,s310,s417,s361,s1254,s300,s100,s3,s59,s82,s1237,s107,s5,s1250,s1253,s93,s336]) ).
cnf(s1256,plain,
( ~ spl0_74
| ~ spl0_127
| ~ spl0_39
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s998,s356,s901,s814,s1138,s1163,s1158,s730,s366,s367,s399,s400,s424,s1255,s1219,s1223,s275,s230]) ).
cnf(s1257,plain,
( ~ spl0_46
| ~ spl0_72
| ~ spl0_127
| ~ spl0_39
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s423,s1208,s316,s1172,s361,s59,s1250,s1245,s850,s1256,s1223,s93,s275]) ).
cnf(s1258,plain,
( ~ spl0_86
| ~ spl0_13
| ~ spl0_72
| ~ spl0_75
| ~ spl0_127
| ~ spl0_35
| spl0_6
| spl0_28
| ~ spl0_44 ),
inference(rat,[],[s305,s129,s408,s172,s394,s321,s1006,s1245,s1223,s230]) ).
cnf(s1259,plain,
( ~ spl0_72
| ~ spl0_127
| ~ spl0_39
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s24,s354,s423,s305,s316,s1031,s396,s1135,s712,s1258,s7,s417,s1257,s100,s3,s59,s82,s1237,s107,s5,s1250,s1245,s850,s1256,s1223,s93,s275]) ).
cnf(s1260,plain,
( ~ spl0_46
| ~ spl0_127
| ~ spl0_39
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s852,s396,s1208,s823,s423,s4,s316,s291,s361,s59,s1250,s1245,s850,s1256,s1223,s1259,s275,s93]) ).
cnf(s1261,plain,
( spl0_37
| ~ spl0_127
| ~ spl0_39
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s712,s753,s348,s1229,s350,s4,s305,s291,s100,s3,s59,s1250,s82,s1237,s1245,s1138,s1134,s1259,s1223,s850,s1256,s7,s417,s1260,s230,s275]) ).
cnf(s1262,plain,
( ~ spl0_86
| ~ spl0_37
| ~ spl0_118
| ~ spl0_123
| ~ spl0_25
| ~ spl0_75 ),
inference(rat,[],[s1133,s35,s324,s347]) ).
cnf(s1263,plain,
( ~ spl0_127
| ~ spl0_39
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s149,s172,s313,s852,s350,s396,s348,s1135,s712,s1262,s1261,s1138,s1134,s431,s1259,s1245,s850,s1256,s1223,s100,s5,s3,s59,s1250,s82,s1237,s93,s230,s275]) ).
cnf(s1264,plain,
( ~ spl0_74
| ~ spl0_57
| ~ spl0_13
| ~ spl0_22
| spl0_38
| ~ spl0_72
| ~ spl0_85
| ~ spl0_111
| spl0_122
| spl0_42
| ~ spl0_4 ),
inference(rat,[],[s285,s434,s901,s814,s1163,s1158,s184,s502,s708,s441,s234,s230,s275]) ).
cnf(s1265,plain,
( ~ spl0_75
| ~ spl0_85
| spl0_25 ),
inference(rat,[],[s434,s814,s929,s1158,s1245,s233,s400,s366,s399,s275]) ).
cnf(s1266,plain,
( ~ spl0_72
| ~ spl0_74
| ~ spl0_76
| ~ spl0_111
| spl0_122
| spl0_42
| ~ spl0_39
| ~ spl0_4
| spl0_6
| ~ spl0_44 ),
inference(rat,[],[s1264,s124,s7,s11,s14,s310,s417,s63,s313,s1172,s408,s278]) ).
cnf(s1267,plain,
( ~ spl0_39
| spl0_2
| ~ spl0_49 ),
inference(rat,[],[s689,s671,s929,s678,s434,s356,s522,s814,s1161,s1158,s183,s1266,s850,s1265,s278,s172,s749,s366,s367,s399,s400,s424,s937,s827,s1263,s100,s5,s3,s59,s1250,s82,s1237,s275,s336]) ).
cnf(s1268,plain,
( spl0_2
| ~ spl0_49 ),
inference(rat,[],[s306,s57,s130,s1267,s107,s5,s1250,s1237,s93]) ).
cnf(s1269,plain,
( ~ spl0_39
| spl0_1 ),
inference(rat,[],[s11,s123,s35,s127,s748,s3,s313,s310,s1204,s149,s361,s5,s59,s292,s293,s295,s32,s343,s740,s172,s278,s247,s102,s21,s1268,s100,s80,s93]) ).
cnf(s1270,plain,
spl0_1,
inference(rat,[],[s369,s850,s5,s890,s153,s901,s340,s130,s174,s1022,s1269,s1223,s278,s740,s247,s21,s102,s1268,s100,s80,s275,s93]) ).
cnf(s1271,plain,
( ~ spl0_49
| ~ spl0_39 ),
inference(rat,[],[s1133,s359,s35,s394,s748,s850,s313,s234,s149,s1221,s172,s431,s310,s278,s292,s5,s59,s361,s740,s247,s284,s343,s296,s294,s21,s102,s1268,s100,s275,s93]) ).
cnf(s1272,plain,
( ~ spl0_46
| ~ spl0_74
| ~ spl0_25
| ~ spl0_127
| ~ spl0_72
| ~ spl0_39 ),
inference(rat,[],[s1138,s965,s824,s423,s1054,s1006,s316,s736,s733,s1031,s716,s1172,s2,s102,s818,s817,s4,s343,s292,s230,s93,s1270]) ).
cnf(s1273,plain,
( ~ spl0_74
| ~ spl0_25
| ~ spl0_127
| ~ spl0_72
| ~ spl0_39 ),
inference(rat,[],[s698,s728,s708,s1006,s317,s1218,s1083,s340,s1220,s234,s1221,s310,s1272,s62,s319,s1271,s2,s102,s343,s292,s1219,s1223,s1270]) ).
cnf(s1274,plain,
( ~ spl0_46
| ~ spl0_25
| ~ spl0_127
| ~ spl0_72
| ~ spl0_39 ),
inference(rat,[],[s316,s1031,s423,s716,s1208,s1172,s62,s319,s1271,s2,s102,s343,s292,s850,s1273,s93,s275,s1270]) ).
cnf(s1275,plain,
( spl0_76
| ~ spl0_28
| ~ spl0_57
| ~ spl0_44
| ~ spl0_75
| ~ spl0_25
| ~ spl0_127
| ~ spl0_77
| ~ spl0_72
| spl0_6 ),
inference(rat,[],[s689,s969,s671,s570,s676,s1162,s522,s1227,s181,s1068,s835,s1060,s367,s1045,s1054,s348,s317,s394,s1061,s716,s172,s2,s102,s343,s1219,s1223,s275,s336,s1270]) ).
cnf(s1276,plain,
( ~ spl0_147
| ~ spl0_112
| ~ spl0_193
| ~ spl0_85
| spl0_108
| ~ spl0_57
| spl0_107
| ~ spl0_77
| ~ spl0_72 ),
inference(rat,[],[s795,s1224,s915,s719,s1,s102,s343,s1270]) ).
cnf(s1277,plain,
( ~ spl0_28
| ~ spl0_57
| ~ spl0_44
| ~ spl0_75
| ~ spl0_25
| ~ spl0_127
| ~ spl0_77
| ~ spl0_72
| spl0_6 ),
inference(rat,[],[s985,s538,s671,s969,s882,s925,s522,s1276,s317,s708,s1045,s1110,s366,s1070,s1135,s835,s1059,s397,s278,s852,s1275,s2,s102,s343,s1219,s1223,s275,s336,s205,s1270]) ).
cnf(s1278,plain,
( spl0_37
| ~ spl0_25
| ~ spl0_127
| ~ spl0_72
| ~ spl0_39 ),
inference(rat,[],[s712,s354,s1258,s305,s1277,s124,s11,s23,s97,s35,s365,s316,s370,s62,s27,s7,s319,s1271,s2,s1,s102,s343,s292,s850,s1273,s310,s1274,s93,s275,s1270]) ).
cnf(s1279,plain,
( ~ spl0_25
| ~ spl0_127
| ~ spl0_72
| ~ spl0_39 ),
inference(rat,[],[s129,s321,s1006,s408,s185,s1135,s716,s719,s397,s1031,s1278,s850,s1273,s27,s319,s1271,s2,s1,s102,s343,s292,s230,s336,s275,s1270]) ).
cnf(s1280,plain,
( ~ spl0_127
| ~ spl0_72
| ~ spl0_39 ),
inference(rat,[],[s1078,s998,s901,s814,s1138,s1163,s1158,s730,s366,s367,s399,s400,s424,s1279,s1223,s1219,s275,s230]) ).
cnf(s1281,plain,
( spl0_37
| ~ spl0_74
| ~ spl0_25
| spl0_127
| ~ spl0_53
| spl0_2
| ~ spl0_72
| ~ spl0_13 ),
inference(rat,[],[s753,s354,s815,s733,s716,s408,s305,s740,s24,s97,s423,s316,s2,s1,s93,s1270]) ).
cnf(s1282,plain,
( ~ spl0_74
| ~ spl0_25
| spl0_127
| ~ spl0_53
| spl0_2
| ~ spl0_72
| spl0_14 ),
inference(rat,[],[s321,s712,s129,s348,s408,s185,s698,s716,s719,s1031,s1281,s27,s7,s2,s1,s230,s1270]) ).
cnf(s1284,plain,
( ~ spl0_146
| ~ spl0_83
| ~ spl0_136
| ~ spl0_117
| spl0_107
| ~ spl0_38
| ~ spl0_44
| spl0_84 ),
inference(rat,[],[s671,s676,s813,s849,s1156,s1162,s275]) ).
cnf(s1285,plain,
( spl0_37
| ~ spl0_25
| ~ spl0_72
| ~ spl0_39 ),
inference(rat,[],[s671,s813,s676,s915,s589,s522,s1284,s181,s1068,s378,s1120,s901,s317,s890,s1061,s340,s351,s350,s511,s354,s348,s394,s716,s172,s408,s305,s740,s23,s97,s35,s365,s316,s370,s62,s7,s2,s1,s233,s850,s1282,s1280,s818,s4,s102,s343,s292,s319,s1271,s275,s336,s230,s93,s1270]) ).
cnf(s1286,plain,
( ~ spl0_147
| ~ spl0_193
| ~ spl0_117
| ~ spl0_57
| spl0_107
| spl0_108
| ~ spl0_77
| ~ spl0_72 ),
inference(rat,[],[s521,s1057,s1210,s1104,s915,s1062,s719,s1,s102,s343,s336,s1270]) ).
cnf(s1287,plain,
( ~ spl0_25
| ~ spl0_72
| ~ spl0_39 ),
inference(rat,[],[s813,s671,s766,s882,s1160,s925,s522,s1286,s366,s1132,s901,s890,s1110,s340,s1070,s124,s347,s1059,s11,s306,s352,s63,s310,s740,s324,s408,s344,s185,s1135,s716,s719,s397,s1031,s1285,s233,s850,s1282,s27,s319,s1271,s2,s1,s102,s818,s4,s343,s292,s1280,s275,s336,s205,s93,s1270]) ).
cnf(s1288,plain,
( ~ spl0_44
| ~ spl0_72
| ~ spl0_39 ),
inference(rat,[],[s1265,s850,s278,s1266,s62,s319,s2,s102,s343,s292,s424,s400,s366,s172,s749,s82,s34,s5,s251,s1271,s399,s1287,s275,s336,s1270]) ).
cnf(s1289,plain,
( ~ spl0_74
| spl0_88
| ~ spl0_20
| ~ spl0_111
| spl0_122
| spl0_156
| ~ spl0_53
| ~ spl0_4
| ~ spl0_72 ),
inference(rat,[],[s923,s685,s521,s671,s906,s689,s1158,s892,s814,s489,s997,s901,s36,s414,s11,s123,s441,s367,s336,s275,s230]) ).
cnf(s1290,plain,
( ~ spl0_72
| ~ spl0_39 ),
inference(rat,[],[s1077,s814,s352,s1158,s1245,s233,s850,s1289,s197,s1288,s310,s1172,s172,s749,s82,s366,s34,s399,s400,s937,s1287,s818,s2,s4,s102,s343,s292,s5,s251,s1271,s275,s336,s1270]) ).
cnf(s1291,plain,
( spl0_76
| ~ spl0_74
| ~ spl0_44
| ~ spl0_127
| spl0_2
| ~ spl0_25
| ~ spl0_39 ),
inference(rat,[],[s24,s423,s354,s748,s1006,s313,s728,s149,s716,s172,s5,s251,s1271,s1290,s2,s93,s1270]) ).
cnf(s1292,plain,
( spl0_37
| ~ spl0_124
| ~ spl0_25
| ~ spl0_39 ),
inference(rat,[],[s823,s423,s4,s316,s291,s1290,s275,s93]) ).
cnf(s1293,plain,
( ~ spl0_74
| ~ spl0_44
| ~ spl0_127
| spl0_2
| ~ spl0_25
| ~ spl0_39 ),
inference(rat,[],[s819,s901,s423,s378,s748,s129,s1292,s321,s712,s348,s698,s397,s278,s852,s1291,s27,s319,s1271,s2,s275,s93,s230,s336,s1270]) ).
cnf(s1294,plain,
( ~ spl0_73
| ~ spl0_118
| ~ spl0_75
| ~ spl0_44
| ~ spl0_39 ),
inference(rat,[],[s350,s348,s313,s394,s149,s62,s319,s5,s251,s1271,s1290,s93]) ).
cnf(s1295,plain,
( ~ spl0_44
| ~ spl0_127
| spl0_2
| ~ spl0_25
| ~ spl0_39 ),
inference(rat,[],[s1262,s1135,s1292,s397,s852,s172,s1294,s1138,s1134,s850,s1293,s431,s1290,s1223,s336,s230,s275,s93]) ).
cnf(s1296,plain,
( ~ spl0_127
| spl0_2
| ~ spl0_25
| ~ spl0_39 ),
inference(rat,[],[s153,s852,s1142,s748,s719,s97,s185,s1295,s5,s251,s1271,s1,s93,s1270]) ).
cnf(s1297,plain,
( ~ spl0_74
| spl0_76
| ~ spl0_44
| spl0_2
| ~ spl0_25
| ~ spl0_39 ),
inference(rat,[],[s678,s356,s522,s671,s814,s1284,s691,s391,s181,s340,s36,s351,s713,s350,s492,s359,s511,s1054,s708,s728,s731,s7,s319,s431,s183,s1,s716,s2,s313,s149,s172,s5,s251,s1271,s1290,s336,s275,s230,s93,s1270]) ).
cnf(s1298,plain,
( spl0_76
| ~ spl0_44
| spl0_2
| ~ spl0_25
| ~ spl0_39 ),
inference(rat,[],[s1134,s351,s340,s511,s1294,s394,s850,s1297,s313,s149,s172,s62,s319,s5,s251,s1271,s1290,s230,s275,s93]) ).
cnf(s1299,plain,
( spl0_108
| ~ spl0_38
| spl0_107
| ~ spl0_74
| ~ spl0_85
| ~ spl0_44
| ~ spl0_4
| ~ spl0_25
| ~ spl0_39 ),
inference(rat,[],[s356,s814,s1230,s903,s522,s324,s1165,s317,s712,s768,s708,s348,s1292,s698,s397,s183,s1290,s901,s378,s275,s336]) ).
cnf(s1300,plain,
( ~ spl0_38
| spl0_107
| ~ spl0_74
| ~ spl0_85
| ~ spl0_44
| ~ spl0_4
| ~ spl0_25
| ~ spl0_39 ),
inference(rat,[],[s814,s903,s434,s359,s728,s1299,s901,s378,s183,s1290,s275]) ).
cnf(s1301,plain,
( ~ spl0_60
| ~ spl0_74
| spl0_28
| ~ spl0_44
| ~ spl0_4
| ~ spl0_35 ),
inference(rat,[],[s321,s712,s348,s494,s299,s230,s275,s336]) ).
cnf(s1302,plain,
( ~ spl0_38
| ~ spl0_74
| ~ spl0_39
| ~ spl0_85
| ~ spl0_44
| ~ spl0_4
| ~ spl0_25 ),
inference(rat,[],[s893,s352,s1300]) ).
cnf(s1303,plain,
( ~ spl0_74
| ~ spl0_85
| spl0_28
| ~ spl0_44
| ~ spl0_4
| ~ spl0_25
| ~ spl0_39 ),
inference(rat,[],[s129,s305,s1302,s1301,s27,s7,s319,s1271]) ).
cnf(s1304,plain,
( ~ spl0_147
| ~ spl0_78
| ~ spl0_108
| spl0_2
| ~ spl0_25 ),
inference(rat,[],[s1104,s544,s589,s2,s1,s1270]) ).
cnf(s1305,plain,
( ~ spl0_38
| ~ spl0_44
| spl0_2
| ~ spl0_25
| ~ spl0_39 ),
inference(rat,[],[s671,s985,s1093,s849,s1165,s522,s1304,s1058,s317,s396,s708,s1292,s350,s324,s1138,s712,s1134,s359,s893,s838,s1133,s414,s901,s378,s431,s183,s1290,s850,s1303,s278,s1298,s740,s1296,s2,s275,s336,s230,s1270,s93]) ).
cnf(s1306,plain,
( ~ spl0_44
| spl0_2
| ~ spl0_25
| ~ spl0_39 ),
inference(rat,[],[s671,s1093,s1155,s1165,s522,s1304,s181,s367,s1164,s756,s901,s1141,s1142,s1138,s396,s1134,s1135,s353,s838,s324,s1133,s306,s305,s63,s1305,s850,s1303,s278,s1298,s740,s27,s7,s319,s1271,s431,s183,s1290,s2,s1296,s275,s336,s230,s93,s1270]) ).
cnf(s1307,plain,
( spl0_2
| ~ spl0_25
| ~ spl0_39 ),
inference(rat,[],[s11,s110,s86,s316,s1050,s719,s97,s85,s185,s1306,s1,s76,s1270]) ).
cnf(s1308,plain,
( ~ spl0_44
| ~ spl0_2
| ~ spl0_39 ),
inference(rat,[],[s359,s394,s1133,s850,s234,s35,s1221,s748,s28,s313,s149,s172,s278,s740,s62,s319,s5,s251,s1271,s431,s1290,s284,s102,s248,s21,s275,s93]) ).
cnf(s1309,plain,
( ~ spl0_2
| ~ spl0_39 ),
inference(rat,[],[s324,s352,s353,s1058,s850,s357,s901,s1159,s181,s317,s185,s197,s951,s1308,s343,s294,s102,s183,s1290,s275]) ).
cnf(s1310,plain,
( ~ spl0_85
| ~ spl0_39 ),
inference(rat,[],[s356,s285,s850,s378,s434,s1265,s7,s319,s1271,s814,s1158,s400,s901,s1163,s366,s399,s424,s1307,s1309,s183,s1290,s230,s275]) ).
cnf(s1311,plain,
~ spl0_39,
inference(rat,[],[s36,s941,s11,s662,s175,s915,s795,s887,s692,s85,s197,s931,s278,s742,s1310,s672,s924,s172,s548,s522,s901,s814,s749,s818,s1161,s1163,s1158,s82,s4,s366,s34,s37,s399,s400,s424,s937,s1307,s2,s1309,s183,s1290,s5,s251,s1271,s275,s336,s1270]) ).
cnf(s1313,plain,
~ spl0_118,
inference(rat,[],[s1022,s1311]) ).
cnf(s1314,plain,
~ spl0_70,
inference(rat,[],[s174,s1311]) ).
cnf(s1315,plain,
~ spl0_38,
inference(rat,[],[s130,s1311]) ).
cnf(s1316,plain,
~ spl0_36,
inference(rat,[],[s57,s1311]) ).
cnf(s1319,plain,
spl0_117,
inference(rat,[],[s340,s1313]) ).
cnf(s1321,plain,
spl0_71,
inference(rat,[],[s901,s275,s1314]) ).
cnf(s1327,plain,
spl0_62,
inference(rat,[],[s132,s1311,s1315]) ).
cnf(s1332,plain,
( spl0_2
| ~ spl0_44 ),
inference(rat,[],[s1234,s740,s62,s320,s319,s1268,s1311,s1327]) ).
cnf(s1333,plain,
~ spl0_44,
inference(rat,[],[s369,s850,s5,s890,s153,s1223,s278,s740,s247,s21,s102,s1332,s275,s1321,s1319,s93,s1315,s1314]) ).
cnf(s1337,plain,
~ spl0_88,
inference(rat,[],[s197,s1333]) ).
cnf(s1341,plain,
~ spl0_14,
inference(rat,[],[s1196,s1333]) ).
cnf(s1343,plain,
~ spl0_3,
inference(rat,[],[s97,s1316,s1333]) ).
cnf(s1347,plain,
spl0_112,
inference(rat,[],[s317,s1337]) ).
cnf(s1348,plain,
spl0_86,
inference(rat,[],[s1185,s1327,s1337]) ).
cnf(s1355,plain,
spl0_13,
inference(rat,[],[s7,s1341]) ).
cnf(s1357,plain,
spl0_2,
inference(rat,[],[s1,s1270,s1343]) ).
cnf(s1360,plain,
spl0_107,
inference(rat,[],[s1082,s1315,s1319,s1347]) ).
cnf(s1363,plain,
spl0_61,
inference(rat,[],[s131,s1311,s1315,s1355]) ).
cnf(s1368,plain,
~ spl0_69,
inference(rat,[],[s892,s1360]) ).
cnf(s1379,plain,
~ spl0_68,
inference(rat,[],[s1187,s1348,s1357,s1363]) ).
cnf(s1383,plain,
$false,
inference(rat,[],[s814,s275,s1368,s1379]) ).
thf(f11310,plain,
$false,
inference(avatar_sat_refutation,[],[s1383]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA138^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:03:00 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 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
% 0.85/0.39 % (3074134)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.85/0.39 % (3074140)lrs+10_16_si=on:nwc=1.5:random_seed=1423790457:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.85/0.39 % (3074141)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4041520295:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.85/0.39 % (3074139)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3330185655:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.85/0.39 % (3074142)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=1425992619: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)
% 0.85/0.39 % (3074141)Instruction limit reached!
% 0.85/0.39 % (3074141)------------------------------
% 0.85/0.39 % (3074141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.39 % (3074141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.39 % (3074141)CaDiCaL version: 2.1.3
% 0.85/0.39 % (3074141)Termination reason: Instruction limit
% 0.85/0.39 % (3074141)Termination phase: Saturation
% 0.85/0.39 % (3074141)Time elapsed: 0.002 s
% 0.85/0.39 % (3074141)Peak memory usage: 12 MB
% 0.85/0.39 % (3074141)Instructions burned: 3 (million)
% 0.85/0.39 % (3074140)Instruction limit reached!
% 0.85/0.39 % (3074140)------------------------------
% 0.85/0.39 % (3074140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.39 % (3074140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.39 % (3074140)CaDiCaL version: 2.1.3
% 0.85/0.39 % (3074140)Termination reason: Instruction limit
% 0.85/0.39 % (3074140)Termination phase: Saturation
% 0.85/0.39 % (3074140)Time elapsed: 0.010 s
% 0.85/0.39 % (3074140)Peak memory usage: 12 MB
% 0.85/0.39 % (3074140)Instructions burned: 20 (million)
% 0.85/0.39 % (3074145)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.85/0.39 % (3074145)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
% 0.85/0.39 % (3074144)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3621048702:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.85/0.39 % (3074145)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=3409318605:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.85/0.39 % (3074143)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4110869139:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.85/0.39 % (3074150)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4058941787:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.85/0.39 % (3074150)Instruction limit reached!
% 0.85/0.39 % (3074150)------------------------------
% 0.85/0.39 % (3074150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.39 % (3074150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.39 % (3074150)CaDiCaL version: 2.1.3
% 0.85/0.39 % (3074150)Termination reason: Instruction limit
% 0.85/0.39 % (3074150)Termination phase: Saturation
% 0.85/0.39 % (3074150)Time elapsed: 0.002 s
% 0.85/0.39 % (3074150)Peak memory usage: 12 MB
% 0.85/0.39 % (3074150)Instructions burned: 2 (million)
% 0.85/0.39 % (3074151)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3846190497:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.85/0.39 % (3074151)Instruction limit reached!
% 0.85/0.39 % (3074151)------------------------------
% 0.85/0.39 % (3074151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.39 % (3074151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.39 % (3074151)CaDiCaL version: 2.1.3
% 0.85/0.39 % (3074151)Termination reason: Instruction limit
% 0.85/0.39 % (3074151)Termination phase: Saturation
% 0.85/0.39 % (3074151)Time elapsed: 0.004 s
% 0.85/0.39 % (3074151)Peak memory usage: 11 MB
% 0.85/0.39 % (3074151)Instructions burned: 6 (million)
% 0.85/0.42 % (3074139)Instruction limit reached!
% 0.85/0.42 % (3074139)------------------------------
% 0.85/0.42 % (3074139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.42 % (3074139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.42 % (3074139)CaDiCaL version: 2.1.3
% 0.85/0.42 % (3074139)Termination reason: Instruction limit
% 0.85/0.42 % (3074139)Termination phase: Saturation
% 0.85/0.42 % (3074139)Time elapsed: 0.037 s
% 0.85/0.42 % (3074139)Peak memory usage: 12 MB
% 0.85/0.42 % (3074139)Instructions burned: 89 (million)
% 0.85/0.42 % (3074156)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.85/0.42 % (3074143)Instruction limit reached!
% 0.85/0.42 % (3074143)------------------------------
% 0.85/0.42 % (3074143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.42 % (3074143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.42 % (3074156)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3619201433:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.85/0.42 % (3074143)CaDiCaL version: 2.1.3
% 0.85/0.42 % (3074143)Termination reason: Instruction limit
% 0.85/0.42 % (3074143)Termination phase: Saturation
% 0.85/0.42 % (3074143)Time elapsed: 0.023 s
% 0.85/0.42 % (3074143)Peak memory usage: 12 MB
% 0.85/0.42 % (3074143)Instructions burned: 24 (million)
% 0.85/0.42 % (3074156)Instruction limit reached!
% 0.85/0.42 % (3074156)------------------------------
% 0.85/0.42 % (3074156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.42 % (3074156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.42 % (3074156)CaDiCaL version: 2.1.3
% 0.85/0.42 % (3074156)Termination reason: Instruction limit
% 0.85/0.42 % (3074156)Termination phase: Saturation
% 0.85/0.42 % (3074156)Time elapsed: 0.005 s
% 0.85/0.42 % (3074156)Peak memory usage: 12 MB
% 0.85/0.42 % (3074156)Instructions burned: 9 (million)
% 0.85/0.42 % (3074159)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
% 0.85/0.42 % (3074159)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.85/0.42 % (3074158)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2426903862:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.85/0.42 % (3074159)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3313412292:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.85/0.42 % (3074158)Instruction limit reached!
% 0.85/0.42 % (3074158)------------------------------
% 0.85/0.42 % (3074158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.42 % (3074158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.42 % (3074158)CaDiCaL version: 2.1.3
% 0.85/0.42 % (3074158)Termination reason: Instruction limit
% 0.85/0.42 % (3074158)Termination phase: Saturation
% 0.85/0.42 % (3074158)Time elapsed: 0.008 s
% 0.85/0.42 % (3074158)Peak memory usage: 12 MB
% 0.85/0.42 % (3074158)Instructions burned: 12 (million)
% 0.85/0.42 % (3074162)lrs+10_1_si=on:cs=on:random_seed=3757439100:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.85/0.42 % (3074159)Instruction limit reached!
% 0.85/0.42 % (3074159)------------------------------
% 0.85/0.42 % (3074159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.42 % (3074159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.42 % (3074159)CaDiCaL version: 2.1.3
% 0.85/0.42 % (3074159)Termination reason: Instruction limit
% 0.85/0.42 % (3074159)Termination phase: Saturation
% 0.85/0.42 % (3074159)Time elapsed: 0.014 s
% 0.85/0.42 % (3074159)Peak memory usage: 12 MB
% 0.85/0.42 % (3074159)Instructions burned: 29 (million)
% 0.85/0.42 % (3074165)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.85/0.42 % (3074162)Instruction limit reached!
% 0.85/0.42 % (3074162)------------------------------
% 0.85/0.42 % (3074162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.46 % (3074162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.46 % (3074162)CaDiCaL version: 2.1.3
% 0.85/0.46 % (3074162)Termination reason: Instruction limit
% 0.85/0.46 % (3074162)Termination phase: Saturation
% 0.85/0.46 % (3074162)Time elapsed: 0.007 s
% 0.85/0.46 % (3074162)Peak memory usage: 12 MB
% 0.85/0.46 % (3074162)Instructions burned: 14 (million)
% 0.85/0.46 % (3074144)Instruction limit reached!
% 0.85/0.46 % (3074144)------------------------------
% 0.85/0.46 % (3074144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.46 % (3074144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.46 % (3074144)CaDiCaL version: 2.1.3
% 0.85/0.46 % (3074144)Termination reason: Instruction limit
% 0.85/0.46 % (3074144)Termination phase: Saturation
% 0.85/0.46 % (3074144)Time elapsed: 0.064 s
% 0.85/0.46 % (3074144)Peak memory usage: 12 MB
% 0.85/0.46 % (3074144)Instructions burned: 75 (million)
% 0.85/0.46 % (3074161)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=1103172406:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.85/0.46 % (3074165)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=584215882:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.85/0.46 % (3074165)Instruction limit reached!
% 0.85/0.46 % (3074165)------------------------------
% 0.85/0.46 % (3074165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.46 % (3074165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.46 % (3074165)CaDiCaL version: 2.1.3
% 0.85/0.46 % (3074165)Termination reason: Instruction limit
% 0.85/0.46 % (3074165)Termination phase: Saturation
% 0.85/0.46 % (3074165)Time elapsed: 0.003 s
% 0.85/0.46 % (3074165)Peak memory usage: 12 MB
% 0.85/0.46 % (3074165)Instructions burned: 5 (million)
% 0.85/0.46 % (3074167)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3468235916:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.85/0.46 % (3074167)Refutation not found, incomplete strategy
% 0.85/0.46 % (3074167)------------------------------
% 0.85/0.46 % (3074167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.46 % (3074167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.46 % (3074167)CaDiCaL version: 2.1.3
% 0.85/0.46 % (3074167)Termination reason: Refutation not found, incomplete strategy
% 0.85/0.46 % (3074167)Time elapsed: 0.0000 s
% 0.85/0.46 % (3074167)Peak memory usage: 11 MB
% 0.85/0.46 % (3074167)------------------------------
% 0.85/0.46 % (3074167)------------------------------
% 0.85/0.46 % (3074145)Instruction limit reached!
% 0.85/0.46 % (3074145)------------------------------
% 0.85/0.46 % (3074145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.46 % (3074145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.46 % (3074145)CaDiCaL version: 2.1.3
% 0.85/0.46 % (3074145)Termination reason: Instruction limit
% 0.85/0.46 % (3074145)Termination phase: Saturation
% 0.85/0.46 % (3074145)Time elapsed: 0.079 s
% 0.85/0.46 % (3074145)Peak memory usage: 12 MB
% 0.85/0.46 % (3074145)Instructions burned: 157 (million)
% 0.85/0.46 % (3074172)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1242440916:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.85/0.46 % (3074174)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=635130390:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.85/0.46 % (3074174)Refutation not found, incomplete strategy
% 0.85/0.46 % (3074174)------------------------------
% 0.85/0.46 % (3074174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.46 % (3074174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.46 % (3074174)CaDiCaL version: 2.1.3
% 0.85/0.46 % (3074174)Termination reason: Refutation not found, incomplete strategy
% 0.85/0.46 % (3074174)Time elapsed: 0.001 s
% 0.85/0.46 % (3074174)Peak memory usage: 11 MB
% 0.85/0.46 % (3074168)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1214895228:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.48/0.50 % (3074174)------------------------------
% 1.48/0.50 % (3074174)------------------------------
% 1.48/0.50 % (3074172)Instruction limit reached!
% 1.48/0.50 % (3074172)------------------------------
% 1.48/0.50 % (3074172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.50 % (3074172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.50 % (3074172)CaDiCaL version: 2.1.3
% 1.48/0.50 % (3074172)Termination reason: Instruction limit
% 1.48/0.50 % (3074172)Termination phase: Saturation
% 1.48/0.50 % (3074172)Time elapsed: 0.009 s
% 1.48/0.50 % (3074172)Peak memory usage: 12 MB
% 1.48/0.50 % (3074172)Instructions burned: 15 (million)
% 1.48/0.50 % (3074168)Refutation not found, incomplete strategy
% 1.48/0.50 % (3074168)------------------------------
% 1.48/0.50 % (3074168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.50 % (3074168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.50 % (3074168)CaDiCaL version: 2.1.3
% 1.48/0.50 % (3074168)Termination reason: Refutation not found, incomplete strategy
% 1.48/0.50 % (3074168)Time elapsed: 0.0000 s
% 1.48/0.50 % (3074168)Peak memory usage: 11 MB
% 1.48/0.50 % (3074168)------------------------------
% 1.48/0.50 % (3074168)------------------------------
% 1.48/0.50 % (3074171)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1466647338:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.48/0.50 % (3074175)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2202328779:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.48/0.50 % (3074171)Refutation not found, incomplete strategy
% 1.48/0.50 % (3074171)------------------------------
% 1.48/0.50 % (3074171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.50 % (3074171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.50 % (3074171)CaDiCaL version: 2.1.3
% 1.48/0.50 % (3074171)Termination reason: Refutation not found, incomplete strategy
% 1.48/0.50 % (3074171)Time elapsed: 0.0000 s
% 1.48/0.50 % (3074171)Peak memory usage: 11 MB
% 1.48/0.50 % (3074171)------------------------------
% 1.48/0.50 % (3074171)------------------------------
% 1.48/0.50 % (3074175)Instruction limit reached!
% 1.48/0.50 % (3074175)------------------------------
% 1.48/0.50 % (3074175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.50 % (3074175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.50 % (3074175)CaDiCaL version: 2.1.3
% 1.48/0.50 % (3074175)Termination reason: Instruction limit
% 1.48/0.50 % (3074175)Termination phase: Saturation
% 1.48/0.50 % (3074175)Time elapsed: 0.007 s
% 1.48/0.50 % (3074175)Peak memory usage: 12 MB
% 1.48/0.50 % (3074175)Instructions burned: 14 (million)
% 1.48/0.50 % (3074179)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3385586407:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.48/0.50 % (3074180)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2763864606:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.48/0.50 % (3074179)Refutation not found, incomplete strategy
% 1.48/0.50 % (3074179)------------------------------
% 1.48/0.50 % (3074179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.50 % (3074179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.50 % (3074179)CaDiCaL version: 2.1.3
% 1.48/0.50 % (3074179)Termination reason: Refutation not found, incomplete strategy
% 1.48/0.50 % (3074179)Time elapsed: 0.0000 s
% 1.48/0.50 % (3074179)Peak memory usage: 11 MB
% 1.48/0.50 % (3074181)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1086734878:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.48/0.50 % (3074179)------------------------------
% 1.48/0.50 % (3074179)------------------------------
% 1.48/0.50 % (3074184)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2998161148:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.48/0.50 % (3074185)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
% 1.48/0.53 % (3074185)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.48/0.53 % (3074181)Instruction limit reached!
% 1.48/0.53 % (3074181)------------------------------
% 1.48/0.53 % (3074181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.53 % (3074181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.53 % (3074181)CaDiCaL version: 2.1.3
% 1.48/0.53 % (3074181)Termination reason: Instruction limit
% 1.48/0.53 % (3074181)Termination phase: Saturation
% 1.48/0.53 % (3074181)Time elapsed: 0.011 s
% 1.48/0.53 % (3074181)Peak memory usage: 11 MB
% 1.48/0.53 % (3074181)Instructions burned: 25 (million)
% 1.48/0.53 % (3074185)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=3219190007:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.48/0.53 % (3074189)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.48/0.53 % (3074180)Instruction limit reached!
% 1.48/0.53 % (3074180)------------------------------
% 1.48/0.53 % (3074180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.53 % (3074180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.53 % (3074180)CaDiCaL version: 2.1.3
% 1.48/0.53 % (3074180)Termination reason: Instruction limit
% 1.48/0.53 % (3074180)Termination phase: Saturation
% 1.48/0.53 % (3074180)Time elapsed: 0.017 s
% 1.48/0.53 % (3074180)Peak memory usage: 12 MB
% 1.48/0.53 % (3074180)Instructions burned: 35 (million)
% 1.48/0.53 % (3074189)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=1252136131:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.48/0.53 % (3074161)Instruction limit reached!
% 1.48/0.53 % (3074161)------------------------------
% 1.48/0.53 % (3074161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.53 % (3074161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.53 % (3074161)CaDiCaL version: 2.1.3
% 1.48/0.53 % (3074161)Termination reason: Instruction limit
% 1.48/0.53 % (3074161)Termination phase: Saturation
% 1.48/0.53 % (3074161)Time elapsed: 0.073 s
% 1.48/0.53 % (3074161)Peak memory usage: 12 MB
% 1.48/0.53 % (3074161)Instructions burned: 87 (million)
% 1.48/0.53 % (3074185)Instruction limit reached!
% 1.48/0.53 % (3074185)------------------------------
% 1.48/0.53 % (3074185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.53 % (3074185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.53 % (3074185)CaDiCaL version: 2.1.3
% 1.48/0.53 % (3074185)Termination reason: Instruction limit
% 1.48/0.53 % (3074185)Termination phase: Saturation
% 1.48/0.53 % (3074185)Time elapsed: 0.010 s
% 1.48/0.53 % (3074185)Peak memory usage: 12 MB
% 1.48/0.53 % (3074185)Instructions burned: 16 (million)
% 1.48/0.53 % (3074189)Instruction limit reached!
% 1.48/0.53 % (3074189)------------------------------
% 1.48/0.53 % (3074189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.53 % (3074189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.53 % (3074189)CaDiCaL version: 2.1.3
% 1.48/0.53 % (3074189)Termination reason: Instruction limit
% 1.48/0.53 % (3074189)Termination phase: Saturation
% 1.48/0.53 % (3074189)Time elapsed: 0.006 s
% 1.48/0.53 % (3074189)Peak memory usage: 12 MB
% 1.48/0.53 % (3074189)Instructions burned: 9 (million)
% 1.48/0.53 % (3074184)Instruction limit reached!
% 1.48/0.53 % (3074184)------------------------------
% 1.48/0.53 % (3074184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.53 % (3074184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.53 % (3074184)CaDiCaL version: 2.1.3
% 1.48/0.53 % (3074184)Termination reason: Instruction limit
% 1.48/0.53 % (3074184)Termination phase: Saturation
% 1.48/0.53 % (3074184)Time elapsed: 0.024 s
% 1.48/0.53 % (3074184)Peak memory usage: 12 MB
% 1.48/0.53 % (3074184)Instructions burned: 62 (million)
% 1.48/0.53 % (3074191)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=2514049:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.48/0.57 % (3074193)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=812568027:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.48/0.57 % (3074142)Instruction limit reached!
% 1.48/0.57 % (3074142)------------------------------
% 1.48/0.57 % (3074142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (3074142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (3074142)CaDiCaL version: 2.1.3
% 1.48/0.57 % (3074142)Termination reason: Instruction limit
% 1.48/0.57 % (3074142)Termination phase: Saturation
% 1.48/0.57 % (3074142)Time elapsed: 0.177 s
% 1.48/0.57 % (3074142)Peak memory usage: 13 MB
% 1.48/0.57 % (3074142)Instructions burned: 634 (million)
% 1.48/0.57 % (3074198)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1184903504:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.48/0.57 % (3074193)Instruction limit reached!
% 1.48/0.57 % (3074193)------------------------------
% 1.48/0.57 % (3074193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (3074193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (3074193)CaDiCaL version: 2.1.3
% 1.48/0.57 % (3074193)Termination reason: Instruction limit
% 1.48/0.57 % (3074193)Termination phase: Saturation
% 1.48/0.57 % (3074193)Time elapsed: 0.009 s
% 1.48/0.57 % (3074196)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2881745755:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.48/0.57 % (3074193)Peak memory usage: 12 MB
% 1.48/0.57 % (3074193)Instructions burned: 8 (million)
% 1.48/0.57 % (3074195)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1003984974:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.48/0.57 % (3074197)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=143040280:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.48/0.57 % (3074196)Instruction limit reached!
% 1.48/0.57 % (3074196)------------------------------
% 1.48/0.57 % (3074196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (3074196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (3074196)CaDiCaL version: 2.1.3
% 1.48/0.57 % (3074196)Termination reason: Instruction limit
% 1.48/0.57 % (3074196)Termination phase: Saturation
% 1.48/0.57 % (3074196)Time elapsed: 0.019 s
% 1.48/0.57 % (3074196)Peak memory usage: 12 MB
% 1.48/0.57 % (3074196)Instructions burned: 21 (million)
% 1.48/0.57 % (3074191)Instruction limit reached!
% 1.48/0.57 % (3074191)------------------------------
% 1.48/0.57 % (3074191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (3074191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (3074191)CaDiCaL version: 2.1.3
% 1.48/0.57 % (3074191)Termination reason: Instruction limit
% 1.48/0.57 % (3074191)Termination phase: Saturation
% 1.48/0.57 % (3074191)Time elapsed: 0.034 s
% 1.48/0.57 % (3074191)Peak memory usage: 12 MB
% 1.48/0.57 % (3074191)Instructions burned: 33 (million)
% 1.48/0.57 % (3074195)Instruction limit reached!
% 1.48/0.57 % (3074195)------------------------------
% 1.48/0.57 % (3074195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (3074195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (3074195)CaDiCaL version: 2.1.3
% 1.48/0.57 % (3074195)Termination reason: Instruction limit
% 1.48/0.57 % (3074195)Termination phase: Saturation
% 1.48/0.57 % (3074195)Time elapsed: 0.019 s
% 1.48/0.57 % (3074195)Peak memory usage: 11 MB
% 1.48/0.57 % (3074195)Instructions burned: 23 (million)
% 1.48/0.57 % (3074201)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=874930482:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.48/0.57 % (3074201)Refutation not found, incomplete strategy
% 1.48/0.57 % (3074201)------------------------------
% 1.48/0.57 % (3074201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.57 % (3074201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.57 % (3074201)CaDiCaL version: 2.1.3
% 1.48/0.57 % (3074201)Termination reason: Refutation not found, incomplete strategy
% 1.48/0.57 % (3074201)Time elapsed: 0.001 s
% 1.48/0.57 % (3074201)Peak memory usage: 11 MB
% 2.34/0.67 % (3074201)------------------------------
% 2.34/0.67 % (3074201)------------------------------
% 2.34/0.67 % (3074204)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3345380946:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.34/0.67 % (3074207)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.34/0.67 % (3074207)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3159196552:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.34/0.67 % (3074207)Instruction limit reached!
% 2.34/0.67 % (3074207)------------------------------
% 2.34/0.67 % (3074207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.67 % (3074207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.67 % (3074207)CaDiCaL version: 2.1.3
% 2.34/0.67 % (3074207)Termination reason: Instruction limit
% 2.34/0.67 % (3074207)Termination phase: Saturation
% 2.34/0.67 % (3074207)Time elapsed: 0.005 s
% 2.34/0.67 % (3074207)Peak memory usage: 12 MB
% 2.34/0.67 % (3074207)Instructions burned: 8 (million)
% 2.34/0.67 % (3074211)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.34/0.67 % (3074211)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=4274358203:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.34/0.67 % (3074211)Refutation not found, incomplete strategy
% 2.34/0.67 % (3074211)------------------------------
% 2.34/0.67 % (3074211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.67 % (3074211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.67 % (3074211)CaDiCaL version: 2.1.3
% 2.34/0.67 % (3074211)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.67 % (3074211)Time elapsed: 0.001 s
% 2.34/0.67 % (3074211)Peak memory usage: 11 MB
% 2.34/0.67 % (3074211)Instructions burned: 1 (million)
% 2.34/0.67 % (3074211)------------------------------
% 2.34/0.67 % (3074211)------------------------------
% 2.34/0.67 % (3074208)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3408647631:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.34/0.67 % (3074208)Refutation not found, incomplete strategy
% 2.34/0.67 % (3074208)------------------------------
% 2.34/0.67 % (3074208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.67 % (3074208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.67 % (3074208)CaDiCaL version: 2.1.3
% 2.34/0.67 % (3074208)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.67 % (3074208)Time elapsed: 0.001 s
% 2.34/0.67 % (3074208)Peak memory usage: 11 MB
% 2.34/0.67 % (3074209)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=1136724761:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.34/0.67 % (3074208)------------------------------
% 2.34/0.67 % (3074208)------------------------------
% 2.34/0.67 % (3074209)Refutation not found, incomplete strategy
% 2.34/0.67 % (3074209)------------------------------
% 2.34/0.67 % (3074209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.67 % (3074209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.67 % (3074209)CaDiCaL version: 2.1.3
% 2.34/0.67 % (3074209)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.67 % (3074209)Time elapsed: 0.001 s
% 2.34/0.67 % (3074209)Peak memory usage: 11 MB
% 2.34/0.67 % (3074209)------------------------------
% 2.34/0.67 % (3074209)------------------------------
% 2.34/0.67 % (3074204)Instruction limit reached!
% 2.34/0.67 % (3074204)------------------------------
% 2.34/0.67 % (3074204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.67 % (3074204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.67 % (3074204)CaDiCaL version: 2.1.3
% 2.34/0.67 % (3074204)Termination reason: Instruction limit
% 2.34/0.67 % (3074204)Termination phase: Saturation
% 2.34/0.67 % (3074204)Time elapsed: 0.026 s
% 2.34/0.67 % (3074204)Peak memory usage: 12 MB
% 2.68/0.71 % (3074204)Instructions burned: 44 (million)
% 2.68/0.71 % (3074214)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3525009329:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.68/0.71 % (3074216)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3761480676:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.68/0.71 % (3074216)Refutation not found, incomplete strategy
% 2.68/0.71 % (3074216)------------------------------
% 2.68/0.71 % (3074216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.71 % (3074216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.71 % (3074216)CaDiCaL version: 2.1.3
% 2.68/0.71 % (3074216)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.71 % (3074216)Time elapsed: 0.002 s
% 2.68/0.71 % (3074216)Peak memory usage: 12 MB
% 2.68/0.71 % (3074216)Instructions burned: 2 (million)
% 2.68/0.71 % (3074216)------------------------------
% 2.68/0.71 % (3074216)------------------------------
% 2.68/0.71 % (3074198)Instruction limit reached!
% 2.68/0.71 % (3074198)------------------------------
% 2.68/0.71 % (3074198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.71 % (3074198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.71 % (3074198)CaDiCaL version: 2.1.3
% 2.68/0.71 % (3074198)Termination reason: Instruction limit
% 2.68/0.71 % (3074198)Termination phase: Saturation
% 2.68/0.71 % (3074198)Time elapsed: 0.078 s
% 2.68/0.71 % (3074198)Peak memory usage: 12 MB
% 2.68/0.71 % (3074198)Instructions burned: 145 (million)
% 2.68/0.71 % (3074219)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=3000458475:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.68/0.71 % (3074214)Instruction limit reached!
% 2.68/0.71 % (3074214)------------------------------
% 2.68/0.71 % (3074214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.71 % (3074214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.71 % (3074214)CaDiCaL version: 2.1.3
% 2.68/0.71 % (3074214)Termination reason: Instruction limit
% 2.68/0.71 % (3074214)Termination phase: Saturation
% 2.68/0.71 % (3074214)Time elapsed: 0.015 s
% 2.68/0.71 % (3074214)Peak memory usage: 12 MB
% 2.68/0.71 % (3074214)Instructions burned: 23 (million)
% 2.68/0.71 % (3074224)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1269499744:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.68/0.71 % (3074224)Refutation not found, incomplete strategy
% 2.68/0.71 % (3074224)------------------------------
% 2.68/0.71 % (3074224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.71 % (3074224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.71 % (3074224)CaDiCaL version: 2.1.3
% 2.68/0.71 % (3074224)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.71 % (3074224)Time elapsed: 0.001 s
% 2.68/0.71 % (3074224)Peak memory usage: 11 MB
% 2.68/0.71 % (3074224)Instructions burned: 1 (million)
% 2.68/0.71 % (3074225)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2371040817: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)
% 2.68/0.71 % (3074224)------------------------------
% 2.68/0.71 % (3074224)------------------------------
% 2.68/0.71 % (3074220)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=1721214128: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)
% 2.68/0.71 % (3074221)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=2327920746: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)
% 2.68/0.71 % (3074225)Instruction limit reached!
% 2.68/0.71 % (3074225)------------------------------
% 2.68/0.71 % (3074225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.71 % (3074225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (3074225)CaDiCaL version: 2.1.3
% 2.68/0.78 % (3074225)Termination reason: Instruction limit
% 2.68/0.78 % (3074225)Termination phase: Saturation
% 2.68/0.78 % (3074225)Time elapsed: 0.012 s
% 2.68/0.78 % (3074225)Peak memory usage: 12 MB
% 2.68/0.78 % (3074225)Instructions burned: 22 (million)
% 2.68/0.78 % (3074227)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.68/0.78 % (3074230)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3170771080:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.68/0.78 % (3074227)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4225613284:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.68/0.78 % (3074230)Instruction limit reached!
% 2.68/0.78 % (3074230)------------------------------
% 2.68/0.78 % (3074230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.78 % (3074230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (3074230)CaDiCaL version: 2.1.3
% 2.68/0.78 % (3074230)Termination reason: Instruction limit
% 2.68/0.78 % (3074230)Termination phase: Saturation
% 2.68/0.78 % (3074230)Time elapsed: 0.008 s
% 2.68/0.78 % (3074230)Peak memory usage: 12 MB
% 2.68/0.78 % (3074230)Instructions burned: 14 (million)
% 2.68/0.78 % (3074233)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=2845691186:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.68/0.78 % (3074236)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=162557242:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.68/0.78 % (3074236)Refutation not found, incomplete strategy
% 2.68/0.78 % (3074236)------------------------------
% 2.68/0.78 % (3074236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.78 % (3074236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (3074236)CaDiCaL version: 2.1.3
% 2.68/0.78 % (3074236)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.78 % (3074236)Time elapsed: 0.001 s
% 2.68/0.78 % (3074236)Peak memory usage: 11 MB
% 2.68/0.78 % (3074236)Instructions burned: 1 (million)
% 2.68/0.78 % (3074236)------------------------------
% 2.68/0.78 % (3074236)------------------------------
% 2.68/0.78 % (3074233)Instruction limit reached!
% 2.68/0.78 % (3074233)------------------------------
% 2.68/0.78 % (3074233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.78 % (3074233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (3074233)CaDiCaL version: 2.1.3
% 2.68/0.78 % (3074233)Termination reason: Instruction limit
% 2.68/0.78 % (3074233)Termination phase: Saturation
% 2.68/0.78 % (3074233)Time elapsed: 0.027 s
% 2.68/0.78 % (3074233)Peak memory usage: 12 MB
% 2.68/0.78 % (3074233)Instructions burned: 66 (million)
% 2.68/0.78 % (3074221)Instruction limit reached!
% 2.68/0.78 % (3074221)------------------------------
% 2.68/0.78 % (3074221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.78 % (3074221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.78 % (3074221)CaDiCaL version: 2.1.3
% 2.68/0.78 % (3074221)Termination reason: Instruction limit
% 2.68/0.78 % (3074221)Termination phase: Saturation
% 2.68/0.78 % (3074221)Time elapsed: 0.050 s
% 2.68/0.78 % (3074221)Peak memory usage: 12 MB
% 2.68/0.78 % (3074221)Instructions burned: 47 (million)
% 2.68/0.78 % (3074239)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3115859415:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.68/0.78 % (3074240)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2382940499:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.68/0.78 % (3074241)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=1849491637:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.68/0.78 % (3074239)Instruction limit reached!
% 2.68/0.78 % (3074239)------------------------------
% 2.68/0.78 % (3074239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.84 % (3074239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.84 % (3074239)CaDiCaL version: 2.1.3
% 3.25/0.84 % (3074239)Termination reason: Instruction limit
% 3.25/0.84 % (3074239)Termination phase: Saturation
% 3.25/0.84 % (3074239)Time elapsed: 0.032 s
% 3.25/0.84 % (3074239)Peak memory usage: 12 MB
% 3.25/0.84 % (3074239)Instructions burned: 32 (million)
% 3.25/0.84 % (3074227)Instruction limit reached!
% 3.25/0.84 % (3074227)------------------------------
% 3.25/0.84 % (3074227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.84 % (3074227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.84 % (3074227)CaDiCaL version: 2.1.3
% 3.25/0.84 % (3074227)Termination reason: Instruction limit
% 3.25/0.84 % (3074227)Termination phase: Saturation
% 3.25/0.84 % (3074227)Time elapsed: 0.088 s
% 3.25/0.84 % (3074227)Peak memory usage: 12 MB
% 3.25/0.84 % (3074227)Instructions burned: 203 (million)
% 3.25/0.84 % (3074241)Instruction limit reached!
% 3.25/0.84 % (3074241)------------------------------
% 3.25/0.84 % (3074241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.84 % (3074241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.84 % (3074241)CaDiCaL version: 2.1.3
% 3.25/0.84 % (3074241)Termination reason: Instruction limit
% 3.25/0.84 % (3074241)Termination phase: Saturation
% 3.25/0.84 % (3074241)Time elapsed: 0.024 s
% 3.25/0.84 % (3074241)Peak memory usage: 12 MB
% 3.25/0.84 % (3074241)Instructions burned: 35 (million)
% 3.25/0.84 % (3074246)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.25/0.84 % (3074240)Instruction limit reached!
% 3.25/0.84 % (3074240)------------------------------
% 3.25/0.84 % (3074240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.84 % (3074240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.84 % (3074240)CaDiCaL version: 2.1.3
% 3.25/0.84 % (3074240)Termination reason: Instruction limit
% 3.25/0.84 % (3074240)Termination phase: Saturation
% 3.25/0.84 % (3074240)Time elapsed: 0.053 s
% 3.25/0.84 % (3074240)Peak memory usage: 12 MB
% 3.25/0.84 % (3074240)Instructions burned: 140 (million)
% 3.25/0.84 % (3074246)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=4113078187:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.25/0.84 % (3074247)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1249443148:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.25/0.84 % (3074247)Refutation not found, incomplete strategy
% 3.25/0.84 % (3074247)------------------------------
% 3.25/0.84 % (3074247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.84 % (3074247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.84 % (3074247)CaDiCaL version: 2.1.3
% 3.25/0.84 % (3074247)Termination reason: Refutation not found, incomplete strategy
% 3.25/0.84 % (3074247)Time elapsed: 0.001 s
% 3.25/0.84 % (3074247)Peak memory usage: 11 MB
% 3.25/0.84 % (3074247)------------------------------
% 3.25/0.84 % (3074247)------------------------------
% 3.25/0.84 % (3074245)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1070267087:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.25/0.84 % (3074245)Refutation not found, incomplete strategy
% 3.25/0.84 % (3074245)------------------------------
% 3.25/0.84 % (3074245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.84 % (3074245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.84 % (3074245)CaDiCaL version: 2.1.3
% 3.25/0.84 % (3074245)Termination reason: Refutation not found, incomplete strategy
% 3.25/0.84 % (3074245)Time elapsed: 0.001 s
% 3.25/0.84 % (3074245)Peak memory usage: 11 MB
% 3.25/0.84 % (3074245)Instructions burned: 1 (million)
% 3.25/0.84 % (3074245)------------------------------
% 3.25/0.84 % (3074245)------------------------------
% 3.25/0.84 % (3074248)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=785320028:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.25/0.84 % (3074219)Instruction limit reached!
% 3.25/0.84 % (3074219)------------------------------
% 3.25/0.84 % (3074219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.84 % (3074219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/0.91 % (3074219)CaDiCaL version: 2.1.3
% 3.74/0.91 % (3074219)Termination reason: Instruction limit
% 3.74/0.91 % (3074219)Termination phase: Saturation
% 3.74/0.91 % (3074219)Time elapsed: 0.163 s
% 3.74/0.91 % (3074219)Peak memory usage: 13 MB
% 3.74/0.91 % (3074219)Instructions burned: 317 (million)
% 3.74/0.91 % (3074255)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1952530772:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.74/0.91 % (3074255)Refutation not found, incomplete strategy
% 3.74/0.91 % (3074255)------------------------------
% 3.74/0.91 % (3074255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.74/0.91 % (3074255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/0.91 % (3074255)CaDiCaL version: 2.1.3
% 3.74/0.91 % (3074255)Termination reason: Refutation not found, incomplete strategy
% 3.74/0.91 % (3074255)Time elapsed: 0.001 s
% 3.74/0.91 % (3074255)Peak memory usage: 12 MB
% 3.74/0.91 % (3074255)------------------------------
% 3.74/0.91 % (3074255)------------------------------
% 3.74/0.91 % (3074251)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2876194255:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.74/0.91 % (3074251)Refutation not found, incomplete strategy
% 3.74/0.91 % (3074251)------------------------------
% 3.74/0.91 % (3074251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.74/0.91 % (3074251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/0.91 % (3074251)CaDiCaL version: 2.1.3
% 3.74/0.91 % (3074251)Termination reason: Refutation not found, incomplete strategy
% 3.74/0.91 % (3074251)Time elapsed: 0.001 s
% 3.74/0.91 % (3074251)Peak memory usage: 11 MB
% 3.74/0.91 % (3074251)------------------------------
% 3.74/0.91 % (3074251)------------------------------
% 3.74/0.91 % (3074253)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2910057167:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.74/0.91 % (3074253)Refutation not found, incomplete strategy
% 3.74/0.91 % (3074253)------------------------------
% 3.74/0.91 % (3074253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.74/0.91 % (3074253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/0.91 % (3074253)CaDiCaL version: 2.1.3
% 3.74/0.91 % (3074253)Termination reason: Refutation not found, incomplete strategy
% 3.74/0.91 % (3074253)Time elapsed: 0.001 s
% 3.74/0.91 % (3074253)Peak memory usage: 11 MB
% 3.74/0.91 % (3074253)------------------------------
% 3.74/0.91 % (3074253)------------------------------
% 3.74/0.91 % (3074257)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1591046732:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.74/0.91 % (3074257)Refutation not found, incomplete strategy
% 3.74/0.91 % (3074257)------------------------------
% 3.74/0.91 % (3074257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.74/0.91 % (3074257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/0.91 % (3074257)CaDiCaL version: 2.1.3
% 3.74/0.91 % (3074257)Termination reason: Refutation not found, incomplete strategy
% 3.74/0.91 % (3074257)Time elapsed: 0.001 s
% 3.74/0.91 % (3074257)Peak memory usage: 11 MB
% 3.74/0.91 % (3074257)Instructions burned: 1 (million)
% 3.74/0.91 % (3074248)Instruction limit reached!
% 3.74/0.91 % (3074248)------------------------------
% 3.74/0.91 % (3074248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.74/0.91 % (3074248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/0.91 % (3074248)CaDiCaL version: 2.1.3
% 3.74/0.91 % (3074248)Termination reason: Instruction limit
% 3.74/0.91 % (3074248)Termination phase: Saturation
% 3.74/0.91 % (3074248)Time elapsed: 0.042 s
% 3.74/0.91 % (3074248)Peak memory usage: 12 MB
% 3.74/0.91 % (3074248)Instructions burned: 97 (million)
% 3.74/0.91 % (3074257)------------------------------
% 3.74/0.91 % (3074257)------------------------------
% 3.74/0.91 % (3074259)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=777736026:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.74/0.91 % (3074263)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=451519703:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.74/0.91 % (3074246)Instruction limit reached!
% 3.74/0.91 % (3074246)------------------------------
% 3.74/0.95 % (3074246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.74/0.95 % (3074246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/0.95 % (3074246)CaDiCaL version: 2.1.3
% 3.74/0.95 % (3074246)Termination reason: Instruction limit
% 3.74/0.95 % (3074246)Termination phase: Saturation
% 3.74/0.95 % (3074246)Time elapsed: 0.084 s
% 3.74/0.95 % (3074246)Peak memory usage: 12 MB
% 3.74/0.95 % (3074246)Instructions burned: 182 (million)
% 3.74/0.95 % (3074261)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=925660768:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.74/0.95 % (3074259)Instruction limit reached!
% 3.74/0.95 % (3074259)------------------------------
% 3.74/0.95 % (3074259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.74/0.95 % (3074259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/0.95 % (3074259)CaDiCaL version: 2.1.3
% 3.74/0.95 % (3074259)Termination reason: Instruction limit
% 3.74/0.95 % (3074259)Termination phase: Saturation
% 3.74/0.95 % (3074259)Time elapsed: 0.022 s
% 3.74/0.95 % (3074259)Peak memory usage: 12 MB
% 3.74/0.95 % (3074259)Instructions burned: 46 (million)
% 3.74/0.95 % (3074261)Refutation not found, incomplete strategy
% 3.74/0.95 % (3074261)------------------------------
% 3.74/0.95 % (3074261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.74/0.95 % (3074261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/0.95 % (3074261)CaDiCaL version: 2.1.3
% 3.74/0.95 % (3074261)Termination reason: Refutation not found, incomplete strategy
% 3.74/0.95 % (3074261)Time elapsed: 0.001 s
% 3.74/0.95 % (3074261)Peak memory usage: 12 MB
% 3.74/0.95 % (3074261)Instructions burned: 1 (million)
% 3.74/0.95 % (3074264)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2515532423:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.74/0.95 % (3074261)------------------------------
% 3.74/0.95 % (3074261)------------------------------
% 3.74/0.95 % (3074269)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=1034847024: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_2994 on theBenchmark for (2994ds/105Mi)
% 3.74/0.95 % (3074267)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=721576824:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.74/0.95 % (3074271)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=1490665797:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 3.74/0.95 % (3074271)Refutation not found, incomplete strategy
% 3.74/0.95 % (3074271)------------------------------
% 3.74/0.95 % (3074271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.74/0.95 % (3074271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/0.95 % (3074271)CaDiCaL version: 2.1.3
% 3.74/0.95 % (3074271)Termination reason: Refutation not found, incomplete strategy
% 3.74/0.95 % (3074271)Time elapsed: 0.001 s
% 3.74/0.95 % (3074271)Peak memory usage: 12 MB
% 3.74/0.95 % (3074271)------------------------------
% 3.74/0.95 % (3074271)------------------------------
% 3.74/0.95 % (3074264)Instruction limit reached!
% 3.74/0.95 % (3074264)------------------------------
% 3.74/0.95 % (3074264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.74/0.95 % (3074264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/0.95 % (3074264)CaDiCaL version: 2.1.3
% 3.74/0.95 % (3074264)Termination reason: Instruction limit
% 3.74/0.95 % (3074264)Termination phase: Saturation
% 3.74/0.95 % (3074264)Time elapsed: 0.042 s
% 3.74/0.95 % (3074264)Peak memory usage: 12 MB
% 3.74/0.95 % (3074264)Instructions burned: 95 (million)
% 3.74/0.95 % (3074267)Instruction limit reached!
% 3.74/0.95 % (3074267)------------------------------
% 3.74/0.95 % (3074267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.74/0.95 % (3074267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.09 % (3074267)CaDiCaL version: 2.1.3
% 5.01/1.09 % (3074267)Termination reason: Instruction limit
% 5.01/1.09 % (3074267)Termination phase: Saturation
% 5.01/1.09 % (3074267)Time elapsed: 0.031 s
% 5.01/1.09 % (3074267)Peak memory usage: 12 MB
% 5.01/1.09 % (3074267)Instructions burned: 69 (million)
% 5.01/1.09 % (3074275)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1820676018:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 5.01/1.09 % (3074275)Refutation not found, incomplete strategy
% 5.01/1.09 % (3074275)------------------------------
% 5.01/1.09 % (3074275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.09 % (3074275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.09 % (3074275)CaDiCaL version: 2.1.3
% 5.01/1.09 % (3074275)Termination reason: Refutation not found, incomplete strategy
% 5.01/1.09 % (3074275)Time elapsed: 0.0000 s
% 5.01/1.09 % (3074275)Peak memory usage: 11 MB
% 5.01/1.09 % (3074275)------------------------------
% 5.01/1.09 % (3074275)------------------------------
% 5.01/1.09 % (3074269)Instruction limit reached!
% 5.01/1.09 % (3074269)------------------------------
% 5.01/1.09 % (3074269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.09 % (3074269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.09 % (3074269)CaDiCaL version: 2.1.3
% 5.01/1.09 % (3074269)Termination reason: Instruction limit
% 5.01/1.09 % (3074269)Termination phase: Saturation
% 5.01/1.09 % (3074269)Time elapsed: 0.056 s
% 5.01/1.09 % (3074269)Peak memory usage: 12 MB
% 5.01/1.09 % (3074269)Instructions burned: 105 (million)
% 5.01/1.09 % (3074276)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=365393383:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 5.01/1.09 % (3074277)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=2107498885:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 5.01/1.09 % (3074279)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=521306836:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/91Mi)
% 5.01/1.09 % (3074281)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=4046048787:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2993 on theBenchmark for (2993ds/66Mi)
% 5.01/1.09 % (3074281)Refutation not found, incomplete strategy
% 5.01/1.09 % (3074281)------------------------------
% 5.01/1.09 % (3074281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.09 % (3074281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.09 % (3074281)CaDiCaL version: 2.1.3
% 5.01/1.09 % (3074281)Termination reason: Refutation not found, incomplete strategy
% 5.01/1.09 % (3074281)Time elapsed: 0.0000 s
% 5.01/1.09 % (3074281)Peak memory usage: 11 MB
% 5.01/1.09 % (3074281)------------------------------
% 5.01/1.09 % (3074281)------------------------------
% 5.01/1.09 % (3074277)Instruction limit reached!
% 5.01/1.09 % (3074277)------------------------------
% 5.01/1.09 % (3074277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.09 % (3074277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.09 % (3074277)CaDiCaL version: 2.1.3
% 5.01/1.09 % (3074277)Termination reason: Instruction limit
% 5.01/1.09 % (3074277)Termination phase: Saturation
% 5.01/1.09 % (3074277)Time elapsed: 0.019 s
% 5.01/1.09 % (3074277)Peak memory usage: 12 MB
% 5.01/1.09 % (3074277)Instructions burned: 36 (million)
% 5.01/1.09 % (3074285)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3892417052:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 5.01/1.09 % (3074286)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=2382136317:i=338:bd=all:ins=4:rtra=on_2993 on theBenchmark for (2993ds/338Mi)
% 5.01/1.09 % (3074279)Instruction limit reached!
% 5.01/1.09 % (3074279)------------------------------
% 5.01/1.09 % (3074279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.09 % (3074279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.09 % (3074279)CaDiCaL version: 2.1.3
% 5.55/1.17 % (3074279)Termination reason: Instruction limit
% 5.55/1.17 % (3074279)Termination phase: Saturation
% 5.55/1.17 % (3074279)Time elapsed: 0.040 s
% 5.55/1.17 % (3074279)Peak memory usage: 12 MB
% 5.55/1.17 % (3074279)Instructions burned: 92 (million)
% 5.55/1.17 % (3074285)Instruction limit reached!
% 5.55/1.17 % (3074285)------------------------------
% 5.55/1.17 % (3074285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.17 % (3074285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.17 % (3074285)CaDiCaL version: 2.1.3
% 5.55/1.17 % (3074285)Termination reason: Instruction limit
% 5.55/1.17 % (3074285)Termination phase: Saturation
% 5.55/1.17 % (3074285)Time elapsed: 0.011 s
% 5.55/1.17 % (3074285)Peak memory usage: 12 MB
% 5.55/1.17 % (3074285)Instructions burned: 23 (million)
% 5.55/1.17 % (3074290)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.55/1.17 % (3074263)Instruction limit reached!
% 5.55/1.17 % (3074263)------------------------------
% 5.55/1.17 % (3074263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.17 % (3074263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.17 % (3074263)CaDiCaL version: 2.1.3
% 5.55/1.17 % (3074263)Termination reason: Instruction limit
% 5.55/1.17 % (3074263)Termination phase: Saturation
% 5.55/1.17 % (3074263)Time elapsed: 0.156 s
% 5.55/1.17 % (3074263)Peak memory usage: 12 MB
% 5.55/1.17 % (3074263)Instructions burned: 451 (million)
% 5.55/1.17 % (3074220)Instruction limit reached!
% 5.55/1.17 % (3074220)------------------------------
% 5.55/1.17 % (3074220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.17 % (3074220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.17 % (3074220)CaDiCaL version: 2.1.3
% 5.55/1.17 % (3074220)Termination reason: Instruction limit
% 5.55/1.17 % (3074220)Termination phase: Saturation
% 5.55/1.17 % (3074220)Time elapsed: 0.360 s
% 5.55/1.17 % (3074220)Peak memory usage: 13 MB
% 5.55/1.17 % (3074220)Instructions burned: 855 (million)
% 5.55/1.17 % (3074289)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4055664810:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/28Mi)
% 5.55/1.17 % (3074290)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=156070770:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/137Mi)
% 5.55/1.17 % (3074289)Refutation not found, incomplete strategy
% 5.55/1.17 % (3074289)------------------------------
% 5.55/1.17 % (3074289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.17 % (3074289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.17 % (3074289)CaDiCaL version: 2.1.3
% 5.55/1.17 % (3074289)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.17 % (3074289)Time elapsed: 0.001 s
% 5.55/1.17 % (3074289)Peak memory usage: 11 MB
% 5.55/1.17 % (3074289)------------------------------
% 5.55/1.17 % (3074289)------------------------------
% 5.55/1.17 % (3074291)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=1054107704:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/340Mi)
% 5.55/1.17 % (3074295)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.55/1.17 % (3074292)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3904452767:i=227:sd=1:bd=all:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/227Mi)
% 5.55/1.17 % (3074292)Refutation not found, incomplete strategy
% 5.55/1.17 % (3074292)------------------------------
% 5.55/1.17 % (3074292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.55/1.17 % (3074292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.17 % (3074292)CaDiCaL version: 2.1.3
% 5.55/1.17 % (3074292)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.17 % (3074292)Time elapsed: 0.0000 s
% 5.55/1.17 % (3074292)Peak memory usage: 11 MB
% 5.55/1.17 % (3074292)------------------------------
% 5.55/1.17 % (3074292)------------------------------
% 5.55/1.17 % (3074295)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1321621589:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/373Mi)
% 5.68/1.22 % (3074299)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=22694070:i=116:ep=RSTC:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/116Mi)
% 5.68/1.22 % (3074290)Instruction limit reached!
% 5.68/1.22 % (3074290)------------------------------
% 5.68/1.22 % (3074290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.22 % (3074290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.22 % (3074290)CaDiCaL version: 2.1.3
% 5.68/1.22 % (3074290)Termination reason: Instruction limit
% 5.68/1.22 % (3074290)Termination phase: Saturation
% 5.68/1.22 % (3074290)Time elapsed: 0.059 s
% 5.68/1.22 % (3074290)Peak memory usage: 12 MB
% 5.68/1.22 % (3074290)Instructions burned: 139 (million)
% 5.68/1.22 % (3074301)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1423971810:i=575:rtra=on_2992 on theBenchmark for (2992ds/575Mi)
% 5.68/1.22 % (3074301)Refutation not found, incomplete strategy
% 5.68/1.22 % (3074301)------------------------------
% 5.68/1.22 % (3074301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.22 % (3074301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.22 % (3074301)CaDiCaL version: 2.1.3
% 5.68/1.22 % (3074301)Termination reason: Refutation not found, incomplete strategy
% 5.68/1.22 % (3074301)Time elapsed: 0.001 s
% 5.68/1.22 % (3074301)Peak memory usage: 11 MB
% 5.68/1.22 % (3074301)Instructions burned: 1 (million)
% 5.68/1.22 % (3074301)------------------------------
% 5.68/1.22 % (3074301)------------------------------
% 5.68/1.22 % (3074299)Instruction limit reached!
% 5.68/1.22 % (3074299)------------------------------
% 5.68/1.22 % (3074299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.22 % (3074299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.22 % (3074299)CaDiCaL version: 2.1.3
% 5.68/1.22 % (3074299)Termination reason: Instruction limit
% 5.68/1.22 % (3074299)Termination phase: Saturation
% 5.68/1.22 % (3074299)Time elapsed: 0.046 s
% 5.68/1.22 % (3074299)Peak memory usage: 12 MB
% 5.68/1.22 % (3074299)Instructions burned: 118 (million)
% 5.68/1.22 % (3074303)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3472268833:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2992 on theBenchmark for (2992ds/270Mi)
% 5.68/1.22 % (3074304)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=2782565036: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_2992 on theBenchmark for (2992ds/9840Mi)
% 5.68/1.22 % (3074286)Instruction limit reached!
% 5.68/1.22 % (3074286)------------------------------
% 5.68/1.22 % (3074286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.22 % (3074286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.22 % (3074286)CaDiCaL version: 2.1.3
% 5.68/1.22 % (3074286)Termination reason: Instruction limit
% 5.68/1.22 % (3074286)Termination phase: Saturation
% 5.68/1.22 % (3074286)Time elapsed: 0.146 s
% 5.68/1.22 % (3074286)Peak memory usage: 14 MB
% 5.68/1.22 % (3074286)Instructions burned: 340 (million)
% 5.68/1.22 % (3074307)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=765494399:i=421:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/421Mi)
% 5.68/1.22 % (3074307)Refutation not found, incomplete strategy
% 5.68/1.22 % (3074307)------------------------------
% 5.68/1.22 % (3074307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.22 % (3074307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.22 % (3074307)CaDiCaL version: 2.1.3
% 5.68/1.22 % (3074307)Termination reason: Refutation not found, incomplete strategy
% 5.68/1.22 % (3074307)Time elapsed: 0.001 s
% 5.68/1.22 % (3074307)Peak memory usage: 11 MB
% 5.68/1.22 % (3074307)------------------------------
% 5.68/1.22 % (3074307)------------------------------
% 5.68/1.22 % (3074310)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
% 5.68/1.22 % (3074310)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=2707728613:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/270Mi)
% 5.68/1.29 % (3074291)Instruction limit reached!
% 5.68/1.29 % (3074291)------------------------------
% 5.68/1.29 % (3074291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.29 % (3074291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.29 % (3074291)CaDiCaL version: 2.1.3
% 5.68/1.29 % (3074291)Termination reason: Instruction limit
% 5.68/1.29 % (3074291)Termination phase: Saturation
% 5.68/1.29 % (3074291)Time elapsed: 0.158 s
% 5.68/1.29 % (3074291)Peak memory usage: 13 MB
% 5.68/1.29 % (3074291)Instructions burned: 340 (million)
% 5.68/1.29 % (3074295)Instruction limit reached!
% 5.68/1.29 % (3074295)------------------------------
% 5.68/1.29 % (3074295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.29 % (3074295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.29 % (3074295)CaDiCaL version: 2.1.3
% 5.68/1.29 % (3074295)Termination reason: Instruction limit
% 5.68/1.29 % (3074295)Termination phase: Saturation
% 5.68/1.29 % (3074295)Time elapsed: 0.159 s
% 5.68/1.29 % (3074295)Peak memory usage: 12 MB
% 5.68/1.29 % (3074295)Instructions burned: 374 (million)
% 5.68/1.29 % (3074312)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1830762530:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/31Mi)
% 5.68/1.29 % (3074313)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.68/1.29 % (3074313)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
% 5.68/1.29 % (3074312)Instruction limit reached!
% 5.68/1.29 % (3074312)------------------------------
% 5.68/1.29 % (3074312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.29 % (3074312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.29 % (3074312)CaDiCaL version: 2.1.3
% 5.68/1.29 % (3074312)Termination reason: Instruction limit
% 5.68/1.29 % (3074312)Termination phase: Saturation
% 5.68/1.29 % (3074312)Time elapsed: 0.016 s
% 5.68/1.29 % (3074312)Peak memory usage: 12 MB
% 5.68/1.29 % (3074312)Instructions burned: 32 (million)
% 5.68/1.29 % (3074313)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=1231152634:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2991 on theBenchmark for (2991ds/1440Mi)
% 5.68/1.29 % (3074303)Instruction limit reached!
% 5.68/1.29 % (3074303)------------------------------
% 5.68/1.29 % (3074303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.29 % (3074303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.29 % (3074303)CaDiCaL version: 2.1.3
% 5.68/1.29 % (3074303)Termination reason: Instruction limit
% 5.68/1.29 % (3074303)Termination phase: Saturation
% 5.68/1.29 % (3074303)Time elapsed: 0.121 s
% 5.68/1.29 % (3074303)Peak memory usage: 12 MB
% 5.68/1.29 % (3074303)Instructions burned: 272 (million)
% 5.68/1.29 % (3074315)dis+10_2_sil=128000:si=on:random_seed=1730401151:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2991 on theBenchmark for (2991ds/339Mi)
% 5.68/1.29 % (3074315)Refutation not found, incomplete strategy
% 5.68/1.29 % (3074315)------------------------------
% 5.68/1.29 % (3074315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.29 % (3074315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.29 % (3074315)CaDiCaL version: 2.1.3
% 5.68/1.29 % (3074315)Termination reason: Refutation not found, incomplete strategy
% 5.68/1.29 % (3074315)Time elapsed: 0.0000 s
% 5.68/1.29 % (3074315)Peak memory usage: 11 MB
% 5.68/1.29 % (3074315)------------------------------
% 5.68/1.29 % (3074315)------------------------------
% 5.68/1.29 % (3074276)Instruction limit reached!
% 5.68/1.29 % (3074276)------------------------------
% 5.68/1.29 % (3074276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.68/1.29 % (3074276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.29 % (3074276)CaDiCaL version: 2.1.3
% 5.68/1.29 % (3074276)Termination reason: Instruction limit
% 5.68/1.29 % (3074276)Termination phase: Saturation
% 6.48/1.41 % (3074276)Time elapsed: 0.307 s
% 6.48/1.41 % (3074276)Peak memory usage: 13 MB
% 6.48/1.41 % (3074276)Instructions burned: 495 (million)
% 6.48/1.41 % (3074317)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1021240362:i=111:add=on:fgj=on:rtra=on:fdi=1024_2991 on theBenchmark for (2991ds/111Mi)
% 6.48/1.41 % (3074319)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=2813086649:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/122Mi)
% 6.48/1.41 % (3074319)Refutation not found, incomplete strategy
% 6.48/1.41 % (3074319)------------------------------
% 6.48/1.41 % (3074319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/1.41 % (3074319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.41 % (3074319)CaDiCaL version: 2.1.3
% 6.48/1.41 % (3074319)Termination reason: Refutation not found, incomplete strategy
% 6.48/1.41 % (3074319)Time elapsed: 0.001 s
% 6.48/1.41 % (3074319)Peak memory usage: 11 MB
% 6.48/1.41 % (3074319)------------------------------
% 6.48/1.41 % (3074319)------------------------------
% 6.48/1.41 % (3074321)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=3003214643:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/136Mi)
% 6.48/1.41 % (3074321)Refutation not found, incomplete strategy
% 6.48/1.41 % (3074321)------------------------------
% 6.48/1.41 % (3074321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/1.41 % (3074321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.41 % (3074321)CaDiCaL version: 2.1.3
% 6.48/1.41 % (3074321)Termination reason: Refutation not found, incomplete strategy
% 6.48/1.41 % (3074321)Time elapsed: 0.001 s
% 6.48/1.41 % (3074321)Peak memory usage: 11 MB
% 6.48/1.41 % (3074321)Instructions burned: 1 (million)
% 6.48/1.41 % (3074321)------------------------------
% 6.48/1.41 % (3074321)------------------------------
% 6.48/1.41 % (3074324)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2674029842:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/232Mi)
% 6.48/1.41 % (3074324)Refutation not found, incomplete strategy
% 6.48/1.41 % (3074324)------------------------------
% 6.48/1.41 % (3074324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/1.41 % (3074324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.41 % (3074324)CaDiCaL version: 2.1.3
% 6.48/1.41 % (3074324)Termination reason: Refutation not found, incomplete strategy
% 6.48/1.41 % (3074324)Time elapsed: 0.0000 s
% 6.48/1.41 % (3074324)Peak memory usage: 11 MB
% 6.48/1.41 % (3074325)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=1749618134:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2990 on theBenchmark for (2990ds/1254Mi)
% 6.48/1.41 % (3074324)------------------------------
% 6.48/1.41 % (3074324)------------------------------
% 6.48/1.41 % (3074325)Refutation not found, incomplete strategy
% 6.48/1.41 % (3074325)------------------------------
% 6.48/1.41 % (3074325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/1.41 % (3074325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.41 % (3074325)CaDiCaL version: 2.1.3
% 6.48/1.41 % (3074325)Termination reason: Refutation not found, incomplete strategy
% 6.48/1.41 % (3074325)Time elapsed: 0.002 s
% 6.48/1.41 % (3074325)Peak memory usage: 11 MB
% 6.48/1.41 % (3074325)Instructions burned: 2 (million)
% 6.48/1.41 % (3074325)------------------------------
% 6.48/1.41 % (3074325)------------------------------
% 6.48/1.41 % (3074317)Instruction limit reached!
% 6.48/1.41 % (3074317)------------------------------
% 6.48/1.41 % (3074317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/1.41 % (3074317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.41 % (3074317)CaDiCaL version: 2.1.3
% 6.48/1.41 % (3074317)Termination reason: Instruction limit
% 6.48/1.41 % (3074317)Termination phase: Saturation
% 6.48/1.41 % (3074317)Time elapsed: 0.052 s
% 6.48/1.41 % (3074317)Peak memory usage: 12 MB
% 6.48/1.41 % (3074317)Instructions burned: 112 (million)
% 6.48/1.41 % (3074328)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.67/1.53 % (3074328)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=1189076707:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2990 on theBenchmark for (2990ds/281Mi)
% 6.67/1.53 % (3074329)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=177836927:i=619:add=on:rtra=on_2990 on theBenchmark for (2990ds/619Mi)
% 6.67/1.53 % (3074329)Refutation not found, incomplete strategy
% 6.67/1.53 % (3074329)------------------------------
% 6.67/1.53 % (3074329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.53 % (3074329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.53 % (3074329)CaDiCaL version: 2.1.3
% 6.67/1.53 % (3074329)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.53 % (3074329)Time elapsed: 0.002 s
% 6.67/1.53 % (3074329)Peak memory usage: 12 MB
% 6.67/1.53 % (3074329)Instructions burned: 2 (million)
% 6.67/1.53 % (3074329)------------------------------
% 6.67/1.53 % (3074329)------------------------------
% 6.67/1.53 % (3074330)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=793913963:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/865Mi)
% 6.67/1.53 % (3074333)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2657864505:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/212Mi)
% 6.67/1.53 % (3074333)Refutation not found, incomplete strategy
% 6.67/1.53 % (3074333)------------------------------
% 6.67/1.53 % (3074333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.53 % (3074333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.53 % (3074333)CaDiCaL version: 2.1.3
% 6.67/1.53 % (3074333)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.53 % (3074333)Time elapsed: 0.001 s
% 6.67/1.53 % (3074333)Peak memory usage: 11 MB
% 6.67/1.53 % (3074333)------------------------------
% 6.67/1.53 % (3074333)------------------------------
% 6.67/1.53 % (3074310)Instruction limit reached!
% 6.67/1.53 % (3074310)------------------------------
% 6.67/1.53 % (3074310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.53 % (3074310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.53 % (3074310)CaDiCaL version: 2.1.3
% 6.67/1.53 % (3074310)Termination reason: Instruction limit
% 6.67/1.53 % (3074310)Termination phase: Saturation
% 6.67/1.53 % (3074310)Time elapsed: 0.169 s
% 6.67/1.53 % (3074310)Peak memory usage: 12 MB
% 6.67/1.53 % (3074310)Instructions burned: 272 (million)
% 6.67/1.53 % (3074336)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=605550182:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/130Mi)
% 6.67/1.53 % (3074336)Refutation not found, incomplete strategy
% 6.67/1.53 % (3074336)------------------------------
% 6.67/1.53 % (3074336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.53 % (3074336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.53 % (3074336)CaDiCaL version: 2.1.3
% 6.67/1.53 % (3074336)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.53 % (3074336)Time elapsed: 0.0000 s
% 6.67/1.53 % (3074336)Peak memory usage: 11 MB
% 6.67/1.53 % (3074336)------------------------------
% 6.67/1.53 % (3074336)------------------------------
% 6.67/1.53 % (3074337)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2760629453:st=1.5:i=346:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/346Mi)
% 6.67/1.53 % (3074337)Refutation not found, incomplete strategy
% 6.67/1.53 % (3074337)------------------------------
% 6.67/1.53 % (3074337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.53 % (3074337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.53 % (3074337)CaDiCaL version: 2.1.3
% 6.67/1.53 % (3074337)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.53 % (3074337)Time elapsed: 0.001 s
% 6.67/1.53 % (3074337)Peak memory usage: 11 MB
% 6.67/1.53 % (3074337)Instructions burned: 1 (million)
% 6.67/1.53 % (3074337)------------------------------
% 6.67/1.53 % (3074337)------------------------------
% 6.67/1.53 % (3074197)Instruction limit reached!
% 6.67/1.53 % (3074197)------------------------------
% 7.56/1.86 % (3074197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.86 % (3074197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.86 % (3074197)CaDiCaL version: 2.1.3
% 7.56/1.86 % (3074197)Termination reason: Instruction limit
% 7.56/1.86 % (3074197)Termination phase: Saturation
% 7.56/1.86 % (3074197)Time elapsed: 0.812 s
% 7.56/1.86 % (3074197)Peak memory usage: 13 MB
% 7.56/1.86 % (3074197)Instructions burned: 1242 (million)
% 7.56/1.86 % (3074339)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=734074950:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/152Mi)
% 7.56/1.86 % (3074341)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=450561276:i=75:ep=R:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/75Mi)
% 7.56/1.86 % (3074343)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2723575154:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/387Mi)
% 7.56/1.86 % (3074343)Refutation not found, incomplete strategy
% 7.56/1.86 % (3074343)------------------------------
% 7.56/1.86 % (3074343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.86 % (3074343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.86 % (3074343)CaDiCaL version: 2.1.3
% 7.56/1.86 % (3074343)Termination reason: Refutation not found, incomplete strategy
% 7.56/1.86 % (3074343)Time elapsed: 0.001 s
% 7.56/1.86 % (3074343)Peak memory usage: 11 MB
% 7.56/1.86 % (3074343)Instructions burned: 1 (million)
% 7.56/1.86 % (3074343)------------------------------
% 7.56/1.86 % (3074343)------------------------------
% 7.56/1.86 % (3074341)Instruction limit reached!
% 7.56/1.86 % (3074341)------------------------------
% 7.56/1.86 % (3074341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.86 % (3074341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.86 % (3074341)CaDiCaL version: 2.1.3
% 7.56/1.86 % (3074341)Termination reason: Instruction limit
% 7.56/1.86 % (3074341)Termination phase: Saturation
% 7.56/1.86 % (3074341)Time elapsed: 0.044 s
% 7.56/1.86 % (3074341)Peak memory usage: 12 MB
% 7.56/1.87 % (3074341)Instructions burned: 77 (million)
% 7.56/1.87 % (3074347)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=1401518956:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2989 on theBenchmark for (2989ds/148Mi)
% 7.56/1.87 % (3074348)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=4231243996:i=161:piset=and:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/161Mi)
% 7.56/1.87 % (3074328)Instruction limit reached!
% 7.56/1.87 % (3074328)------------------------------
% 7.56/1.87 % (3074328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.87 % (3074328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.87 % (3074328)CaDiCaL version: 2.1.3
% 7.56/1.87 % (3074328)Termination reason: Instruction limit
% 7.56/1.87 % (3074328)Termination phase: Saturation
% 7.56/1.87 % (3074328)Time elapsed: 0.150 s
% 7.56/1.87 % (3074328)Peak memory usage: 13 MB
% 7.56/1.87 % (3074328)Instructions burned: 281 (million)
% 7.56/1.87 % (3074339)Instruction limit reached!
% 7.56/1.87 % (3074339)------------------------------
% 7.56/1.87 % (3074339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.87 % (3074339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.87 % (3074339)CaDiCaL version: 2.1.3
% 7.56/1.87 % (3074339)Termination reason: Instruction limit
% 7.56/1.87 % (3074339)Termination phase: Saturation
% 7.56/1.87 % (3074339)Time elapsed: 0.093 s
% 7.56/1.87 % (3074339)Peak memory usage: 12 MB
% 7.56/1.87 % (3074339)Instructions burned: 152 (million)
% 7.56/1.87 % (3074352)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=2575478011:i=136:add=on:ins=4:rtra=on:sup=off_2988 on theBenchmark for (2988ds/136Mi)
% 7.56/1.87 % (3074351)lrs+10_1_sil=128000:si=on:random_seed=3198502558:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/888Mi)
% 7.56/1.87 % (3074351)Refutation not found, incomplete strategy
% 7.56/1.87 % (3074351)------------------------------
% 7.56/1.87 % (3074351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.33/2.07 % (3074351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.07 % (3074351)CaDiCaL version: 2.1.3
% 11.33/2.07 % (3074351)Termination reason: Refutation not found, incomplete strategy
% 11.33/2.07 % (3074351)Time elapsed: 0.001 s
% 11.33/2.07 % (3074351)Peak memory usage: 11 MB
% 11.33/2.07 % (3074351)------------------------------
% 11.33/2.07 % (3074351)------------------------------
% 11.33/2.07 % (3074348)Instruction limit reached!
% 11.33/2.07 % (3074348)------------------------------
% 11.33/2.07 % (3074348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.33/2.07 % (3074348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.07 % (3074348)CaDiCaL version: 2.1.3
% 11.33/2.07 % (3074348)Termination reason: Instruction limit
% 11.33/2.07 % (3074348)Termination phase: Saturation
% 11.33/2.07 % (3074348)Time elapsed: 0.061 s
% 11.33/2.07 % (3074348)Peak memory usage: 12 MB
% 11.33/2.07 % (3074348)Instructions burned: 163 (million)
% 11.33/2.07 % (3074355)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=4260745774:i=88:s2at=3:nm=2:rtra=on:rawr=on_2988 on theBenchmark for (2988ds/88Mi)
% 11.33/2.07 % (3074356)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=4256787269:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2988 on theBenchmark for (2988ds/93Mi)
% 11.33/2.07 % (3074352)Instruction limit reached!
% 11.33/2.07 % (3074352)------------------------------
% 11.33/2.07 % (3074352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.33/2.07 % (3074352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.07 % (3074352)CaDiCaL version: 2.1.3
% 11.33/2.07 % (3074352)Termination reason: Instruction limit
% 11.33/2.07 % (3074352)Termination phase: Saturation
% 11.33/2.07 % (3074352)Time elapsed: 0.064 s
% 11.33/2.07 % (3074352)Peak memory usage: 12 MB
% 11.33/2.07 % (3074352)Instructions burned: 137 (million)
% 11.33/2.07 % (3074359)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3351602685:i=2186:rtra=on:ixr=off_2987 on theBenchmark for (2987ds/2186Mi)
% 11.33/2.07 % (3074347)Instruction limit reached!
% 11.33/2.07 % (3074347)------------------------------
% 11.33/2.07 % (3074347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.33/2.07 % (3074347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.07 % (3074347)CaDiCaL version: 2.1.3
% 11.33/2.07 % (3074347)Termination reason: Instruction limit
% 11.33/2.07 % (3074347)Termination phase: Saturation
% 11.33/2.07 % (3074347)Time elapsed: 0.132 s
% 11.33/2.07 % (3074347)Peak memory usage: 12 MB
% 11.33/2.07 % (3074347)Instructions burned: 150 (million)
% 11.33/2.07 % (3074356)Instruction limit reached!
% 11.33/2.07 % (3074356)------------------------------
% 11.33/2.07 % (3074356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.33/2.07 % (3074356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.07 % (3074356)CaDiCaL version: 2.1.3
% 11.33/2.07 % (3074356)Termination reason: Instruction limit
% 11.33/2.07 % (3074356)Termination phase: Saturation
% 11.33/2.07 % (3074356)Time elapsed: 0.050 s
% 11.33/2.07 % (3074356)Peak memory usage: 12 MB
% 11.33/2.07 % (3074356)Instructions burned: 94 (million)
% 11.33/2.07 % (3074355)Instruction limit reached!
% 11.33/2.07 % (3074355)------------------------------
% 11.33/2.07 % (3074355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.33/2.07 % (3074355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.07 % (3074355)CaDiCaL version: 2.1.3
% 11.33/2.07 % (3074355)Termination reason: Instruction limit
% 11.33/2.07 % (3074355)Termination phase: Saturation
% 11.33/2.07 % (3074355)Time elapsed: 0.066 s
% 11.33/2.07 % (3074355)Peak memory usage: 12 MB
% 11.33/2.07 % (3074355)Instructions burned: 89 (million)
% 11.33/2.07 % (3074313)Instruction limit reached!
% 11.33/2.07 % (3074313)------------------------------
% 11.33/2.07 % (3074313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.33/2.07 % (3074313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.07 % (3074313)CaDiCaL version: 2.1.3
% 11.33/2.07 % (3074313)Termination reason: Instruction limit
% 11.33/2.07 % (3074313)Termination phase: Saturation
% 11.33/2.07 % (3074313)Time elapsed: 0.385 s
% 11.33/2.07 % (3074313)Peak memory usage: 13 MB
% 11.33/2.07 % (3074313)Instructions burned: 1441 (million)
% 11.86/2.16 % (3074361)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1731566185:s2a=on:i=240:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/240Mi)
% 11.86/2.16 % (3074362)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=450681522:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/805Mi)
% 11.86/2.16 % (3074364)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1169003486:i=355:av=off:fsr=off:rtra=on:ixr=off_2987 on theBenchmark for (2987ds/355Mi)
% 11.86/2.16 % (3074363)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 11.86/2.16 % (3074363)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=2550147649:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2987 on theBenchmark for (2987ds/391Mi)
% 11.86/2.16 % (3074363)Refutation not found, incomplete strategy
% 11.86/2.16 % (3074363)------------------------------
% 11.86/2.16 % (3074363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.16 % (3074363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.16 % (3074363)CaDiCaL version: 2.1.3
% 11.86/2.16 % (3074363)Termination reason: Refutation not found, incomplete strategy
% 11.86/2.16 % (3074363)Time elapsed: 0.001 s
% 11.86/2.16 % (3074363)Peak memory usage: 11 MB
% 11.86/2.16 % (3074363)Instructions burned: 1 (million)
% 11.86/2.16 % (3074363)------------------------------
% 11.86/2.16 % (3074363)------------------------------
% 11.86/2.16 % (3074369)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=486060118:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/314Mi)
% 11.86/2.16 % (3074369)Refutation not found, incomplete strategy
% 11.86/2.16 % (3074369)------------------------------
% 11.86/2.16 % (3074369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.16 % (3074369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.16 % (3074369)CaDiCaL version: 2.1.3
% 11.86/2.16 % (3074369)Termination reason: Refutation not found, incomplete strategy
% 11.86/2.16 % (3074369)Time elapsed: 0.0000 s
% 11.86/2.16 % (3074369)Peak memory usage: 11 MB
% 11.86/2.16 % (3074369)------------------------------
% 11.86/2.16 % (3074369)------------------------------
% 11.86/2.16 % (3074371)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2872951211:s2a=on:i=251:fsr=off:rtra=on_2986 on theBenchmark for (2986ds/251Mi)
% 11.86/2.16 % (3074364)Instruction limit reached!
% 11.86/2.16 % (3074364)------------------------------
% 11.86/2.16 % (3074364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.16 % (3074364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.16 % (3074364)CaDiCaL version: 2.1.3
% 11.86/2.16 % (3074364)Termination reason: Instruction limit
% 11.86/2.16 % (3074364)Termination phase: Saturation
% 11.86/2.16 % (3074364)Time elapsed: 0.095 s
% 11.86/2.16 % (3074364)Peak memory usage: 12 MB
% 11.86/2.16 % (3074364)Instructions burned: 358 (million)
% 11.86/2.16 % (3074361)Instruction limit reached!
% 11.86/2.16 % (3074361)------------------------------
% 11.86/2.16 % (3074361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.16 % (3074361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.16 % (3074361)CaDiCaL version: 2.1.3
% 11.86/2.16 % (3074361)Termination reason: Instruction limit
% 11.86/2.16 % (3074361)Termination phase: Saturation
% 11.86/2.16 % (3074361)Time elapsed: 0.104 s
% 11.86/2.16 % (3074361)Peak memory usage: 12 MB
% 11.86/2.16 % (3074361)Instructions burned: 242 (million)
% 11.86/2.16 % (3074373)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=3710073861: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_2986 on theBenchmark for (2986ds/2470Mi)
% 11.86/2.16 % (3074374)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=84194267:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2986 on theBenchmark for (2986ds/673Mi)
% 11.86/2.16 % (3074371)Instruction limit reached!
% 11.86/2.16 % (3074371)------------------------------
% 12.15/2.30 % (3074371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.30 % (3074371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.30 % (3074371)CaDiCaL version: 2.1.3
% 12.15/2.30 % (3074371)Termination reason: Instruction limit
% 12.15/2.30 % (3074371)Termination phase: Saturation
% 12.15/2.30 % (3074371)Time elapsed: 0.245 s
% 12.15/2.30 % (3074371)Peak memory usage: 12 MB
% 12.15/2.30 % (3074371)Instructions burned: 251 (million)
% 12.15/2.30 % (3074377)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1337841151:i=116:ep=RSTC:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/116Mi)
% 12.15/2.30 % (3074377)Instruction limit reached!
% 12.15/2.30 % (3074377)------------------------------
% 12.15/2.30 % (3074377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.30 % (3074377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.30 % (3074377)CaDiCaL version: 2.1.3
% 12.15/2.30 % (3074377)Termination reason: Instruction limit
% 12.15/2.30 % (3074377)Termination phase: Saturation
% 12.15/2.30 % (3074377)Time elapsed: 0.054 s
% 12.15/2.30 % (3074377)Peak memory usage: 12 MB
% 12.15/2.30 % (3074377)Instructions burned: 117 (million)
% 12.15/2.30 % (3074374)Instruction limit reached!
% 12.15/2.30 % (3074374)------------------------------
% 12.15/2.30 % (3074374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.30 % (3074374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.30 % (3074374)CaDiCaL version: 2.1.3
% 12.15/2.30 % (3074374)Termination reason: Instruction limit
% 12.15/2.30 % (3074374)Termination phase: Saturation
% 12.15/2.30 % (3074374)Time elapsed: 0.284 s
% 12.15/2.30 % (3074374)Peak memory usage: 13 MB
% 12.15/2.30 % (3074374)Instructions burned: 678 (million)
% 12.15/2.30 % (3074330)Instruction limit reached!
% 12.15/2.30 % (3074330)------------------------------
% 12.15/2.30 % (3074330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.30 % (3074330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.30 % (3074330)CaDiCaL version: 2.1.3
% 12.15/2.30 % (3074330)Termination reason: Instruction limit
% 12.15/2.30 % (3074330)Termination phase: Saturation
% 12.15/2.30 % (3074330)Time elapsed: 0.715 s
% 12.15/2.30 % (3074330)Peak memory usage: 15 MB
% 12.15/2.30 % (3074330)Instructions burned: 865 (million)
% 12.15/2.30 % (3074379)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1220017690:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2983 on theBenchmark for (2983ds/270Mi)
% 12.15/2.30 % (3074380)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=861284139: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_2983 on theBenchmark for (2983ds/30Mi)
% 12.15/2.30 % (3074381)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 12.15/2.30 % (3074381)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1251915924:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2982 on theBenchmark for (2982ds/39Mi)
% 12.15/2.30 % (3074362)Instruction limit reached!
% 12.15/2.30 % (3074362)------------------------------
% 12.15/2.30 % (3074362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.30 % (3074362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.30 % (3074362)CaDiCaL version: 2.1.3
% 12.15/2.30 % (3074362)Termination reason: Instruction limit
% 12.15/2.30 % (3074362)Termination phase: Saturation
% 12.15/2.30 % (3074362)Time elapsed: 0.486 s
% 12.15/2.30 % (3074362)Peak memory usage: 13 MB
% 12.15/2.30 % (3074362)Instructions burned: 805 (million)
% 12.15/2.30 % (3074380)Instruction limit reached!
% 12.15/2.30 % (3074380)------------------------------
% 12.15/2.30 % (3074380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.30 % (3074380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.30 % (3074380)CaDiCaL version: 2.1.3
% 12.15/2.30 % (3074380)Termination reason: Instruction limit
% 12.15/2.30 % (3074380)Termination phase: Saturation
% 12.15/2.30 % (3074380)Time elapsed: 0.045 s
% 12.15/2.30 % (3074380)Peak memory usage: 12 MB
% 12.15/2.30 % (3074380)Instructions burned: 33 (million)
% 12.15/2.30 % (3074381)Instruction limit reached!
% 13.61/2.41 % (3074381)------------------------------
% 13.61/2.41 % (3074381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.41 % (3074381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.41 % (3074381)CaDiCaL version: 2.1.3
% 13.61/2.41 % (3074381)Termination reason: Instruction limit
% 13.61/2.41 % (3074381)Termination phase: Saturation
% 13.61/2.41 % (3074381)Time elapsed: 0.048 s
% 13.61/2.41 % (3074381)Peak memory usage: 12 MB
% 13.61/2.41 % (3074381)Instructions burned: 40 (million)
% 13.61/2.41 % (3074385)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3056083960:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2982 on theBenchmark for (2982ds/365Mi)
% 13.61/2.41 % (3074388)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
% 13.61/2.41 % (3074388)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=2227630397:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/252Mi)
% 13.61/2.41 % (3074386)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1786480086:i=158:av=off:rtra=on_2982 on theBenchmark for (2982ds/158Mi)
% 13.61/2.41 % (3074388)Instruction limit reached!
% 13.61/2.41 % (3074388)------------------------------
% 13.61/2.41 % (3074388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.41 % (3074388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.41 % (3074388)CaDiCaL version: 2.1.3
% 13.61/2.41 % (3074388)Termination reason: Instruction limit
% 13.61/2.41 % (3074388)Termination phase: Saturation
% 13.61/2.41 % (3074388)Time elapsed: 0.049 s
% 13.61/2.41 % (3074388)Peak memory usage: 12 MB
% 13.61/2.41 % (3074388)Instructions burned: 258 (million)
% 13.61/2.41 % (3074391)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3756959486:i=213:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/213Mi)
% 13.61/2.41 % (3074379)Instruction limit reached!
% 13.61/2.41 % (3074379)------------------------------
% 13.61/2.41 % (3074379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.41 % (3074379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.41 % (3074379)CaDiCaL version: 2.1.3
% 13.61/2.41 % (3074379)Termination reason: Instruction limit
% 13.61/2.41 % (3074379)Termination phase: Saturation
% 13.61/2.41 % (3074379)Time elapsed: 0.152 s
% 13.61/2.41 % (3074379)Peak memory usage: 12 MB
% 13.61/2.41 % (3074379)Instructions burned: 270 (million)
% 13.61/2.41 % (3074391)Refutation not found, incomplete strategy
% 13.61/2.41 % (3074391)------------------------------
% 13.61/2.41 % (3074391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.41 % (3074391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.41 % (3074391)CaDiCaL version: 2.1.3
% 13.61/2.41 % (3074391)Termination reason: Refutation not found, incomplete strategy
% 13.61/2.41 % (3074391)Time elapsed: 0.0000 s
% 13.61/2.41 % (3074391)Peak memory usage: 11 MB
% 13.61/2.41 % (3074391)------------------------------
% 13.61/2.41 % (3074391)------------------------------
% 13.61/2.41 % (3074386)Instruction limit reached!
% 13.61/2.41 % (3074386)------------------------------
% 13.61/2.41 % (3074386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.41 % (3074386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.41 % (3074386)CaDiCaL version: 2.1.3
% 13.61/2.41 % (3074386)Termination reason: Instruction limit
% 13.61/2.41 % (3074386)Termination phase: Saturation
% 13.61/2.41 % (3074386)Time elapsed: 0.062 s
% 13.61/2.41 % (3074386)Peak memory usage: 12 MB
% 13.61/2.41 % (3074386)Instructions burned: 158 (million)
% 13.61/2.41 % (3074394)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=408221620:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/763Mi)
% 13.61/2.41 % (3074393)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=3162442456:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/160Mi)
% 13.61/2.41 % (3074393)Refutation not found, incomplete strategy
% 13.61/2.41 % (3074393)------------------------------
% 13.61/2.47 % (3074393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.47 % (3074393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.47 % (3074393)CaDiCaL version: 2.1.3
% 13.61/2.47 % (3074393)Termination reason: Refutation not found, incomplete strategy
% 13.61/2.47 % (3074393)Time elapsed: 0.001 s
% 13.61/2.47 % (3074393)Peak memory usage: 11 MB
% 13.61/2.47 % (3074393)------------------------------
% 13.61/2.47 % (3074393)------------------------------
% 13.61/2.47 % (3074395)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 13.61/2.47 % (3074395)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=3723900957:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2981 on theBenchmark for (2981ds/237Mi)
% 13.61/2.47 % (3074395)Refutation not found, incomplete strategy
% 13.61/2.47 % (3074395)------------------------------
% 13.61/2.47 % (3074395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.47 % (3074395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.47 % (3074395)CaDiCaL version: 2.1.3
% 13.61/2.47 % (3074395)Termination reason: Refutation not found, incomplete strategy
% 13.61/2.47 % (3074395)Time elapsed: 0.0000 s
% 13.61/2.47 % (3074395)Peak memory usage: 11 MB
% 13.61/2.47 % (3074395)------------------------------
% 13.61/2.47 % (3074395)------------------------------
% 13.61/2.47 % (3074398)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2047461503:s2a=on:i=386:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/386Mi)
% 13.61/2.47 % (3074400)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=3684652305:i=300:piset=and:nm=32:rtra=on_2980 on theBenchmark for (2980ds/300Mi)
% 13.61/2.47 % (3074394)Instruction limit reached!
% 13.61/2.47 % (3074394)------------------------------
% 13.61/2.47 % (3074394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.47 % (3074394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.47 % (3074394)CaDiCaL version: 2.1.3
% 13.61/2.47 % (3074394)Termination reason: Instruction limit
% 13.61/2.47 % (3074394)Termination phase: Saturation
% 13.61/2.47 % (3074394)Time elapsed: 0.121 s
% 13.61/2.47 % (3074394)Peak memory usage: 14 MB
% 13.61/2.47 % (3074394)Instructions burned: 769 (million)
% 13.61/2.47 % (3074385)Instruction limit reached!
% 13.61/2.47 % (3074385)------------------------------
% 13.61/2.47 % (3074385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.47 % (3074385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.47 % (3074385)CaDiCaL version: 2.1.3
% 13.61/2.47 % (3074385)Termination reason: Instruction limit
% 13.61/2.47 % (3074385)Termination phase: Saturation
% 13.61/2.47 % (3074385)Time elapsed: 0.213 s
% 13.61/2.47 % (3074385)Peak memory usage: 13 MB
% 13.61/2.47 % (3074385)Instructions burned: 366 (million)
% 13.61/2.47 % (3074404)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1706205141:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2979 on theBenchmark for (2979ds/379Mi)
% 13.61/2.47 % (3074404)Refutation not found, incomplete strategy
% 13.61/2.47 % (3074404)------------------------------
% 13.61/2.47 % (3074404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.47 % (3074404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.47 % (3074404)CaDiCaL version: 2.1.3
% 13.61/2.47 % (3074404)Termination reason: Refutation not found, incomplete strategy
% 13.61/2.47 % (3074404)Time elapsed: 0.0000 s
% 13.61/2.47 % (3074404)Peak memory usage: 11 MB
% 13.61/2.47 % (3074404)------------------------------
% 13.61/2.47 % (3074404)------------------------------
% 13.61/2.47 % (3074403)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2297955323:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/567Mi)
% 13.61/2.47 % (3074403)Refutation not found, incomplete strategy
% 13.61/2.47 % (3074403)------------------------------
% 13.61/2.47 % (3074403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.47 % (3074403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.47 % (3074403)CaDiCaL version: 2.1.3
% 13.61/2.47 % (3074403)Termination reason: Refutation not found, incomplete strategy
% 13.61/2.47 % (3074403)Time elapsed: 0.002 s
% 14.29/2.55 % (3074403)Peak memory usage: 11 MB
% 14.29/2.55 % (3074403)Instructions burned: 1 (million)
% 14.29/2.55 % (3074403)------------------------------
% 14.29/2.55 % (3074403)------------------------------
% 14.29/2.55 % (3074407)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1083997860:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2979 on theBenchmark for (2979ds/429Mi)
% 14.29/2.55 % (3074400)Instruction limit reached!
% 14.29/2.55 % (3074400)------------------------------
% 14.29/2.55 % (3074400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.29/2.55 % (3074400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.55 % (3074400)CaDiCaL version: 2.1.3
% 14.29/2.55 % (3074400)Termination reason: Instruction limit
% 14.29/2.55 % (3074400)Termination phase: Saturation
% 14.29/2.55 % (3074400)Time elapsed: 0.134 s
% 14.29/2.55 % (3074400)Peak memory usage: 12 MB
% 14.29/2.55 % (3074400)Instructions burned: 302 (million)
% 14.29/2.55 % (3074408)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3880116691:i=478:bd=all:rtra=on_2979 on theBenchmark for (2979ds/478Mi)
% 14.29/2.55 % (3074408)Refutation not found, incomplete strategy
% 14.29/2.55 % (3074408)------------------------------
% 14.29/2.55 % (3074408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.29/2.55 % (3074408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.55 % (3074408)CaDiCaL version: 2.1.3
% 14.29/2.55 % (3074408)Termination reason: Refutation not found, incomplete strategy
% 14.29/2.55 % (3074408)Time elapsed: 0.002 s
% 14.29/2.55 % (3074408)Peak memory usage: 12 MB
% 14.29/2.55 % (3074408)Instructions burned: 1 (million)
% 14.29/2.55 % (3074408)------------------------------
% 14.29/2.55 % (3074408)------------------------------
% 14.29/2.55 % (3074398)Instruction limit reached!
% 14.29/2.55 % (3074398)------------------------------
% 14.29/2.55 % (3074398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.29/2.55 % (3074398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.55 % (3074398)CaDiCaL version: 2.1.3
% 14.29/2.55 % (3074398)Termination reason: Instruction limit
% 14.29/2.55 % (3074398)Termination phase: Saturation
% 14.29/2.55 % (3074398)Time elapsed: 0.166 s
% 14.29/2.55 % (3074398)Peak memory usage: 12 MB
% 14.29/2.55 % (3074398)Instructions burned: 386 (million)
% 14.29/2.55 % (3074410)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=144366974:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2979 on theBenchmark for (2979ds/445Mi)
% 14.29/2.55 % (3074412)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=144137645:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2979 on theBenchmark for (2979ds/71Mi)
% 14.29/2.55 % (3074413)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2693753418:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/302Mi)
% 14.29/2.55 % (3074413)Refutation not found, incomplete strategy
% 14.29/2.55 % (3074413)------------------------------
% 14.29/2.55 % (3074413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.29/2.55 % (3074413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.55 % (3074413)CaDiCaL version: 2.1.3
% 14.29/2.55 % (3074413)Termination reason: Refutation not found, incomplete strategy
% 14.29/2.55 % (3074413)Time elapsed: 0.001 s
% 14.29/2.55 % (3074413)Peak memory usage: 11 MB
% 14.29/2.55 % (3074413)------------------------------
% 14.29/2.55 % (3074413)------------------------------
% 14.29/2.55 % (3074417)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=4284170461:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/4980Mi)
% 14.29/2.55 % (3074417)Refutation not found, incomplete strategy
% 14.29/2.55 % (3074417)------------------------------
% 14.29/2.55 % (3074417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.29/2.55 % (3074417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.55 % (3074417)CaDiCaL version: 2.1.3
% 14.29/2.55 % (3074417)Termination reason: Refutation not found, incomplete strategy
% 14.29/2.55 % (3074417)Time elapsed: 0.001 s
% 14.29/2.55 % (3074417)Peak memory usage: 11 MB
% 14.29/2.55 % (3074417)------------------------------
% 14.29/2.55 % (3074417)------------------------------
% 14.29/2.55 % (3074419)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
% 14.60/2.66 % (3074419)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 14.60/2.66 % (3074407)Instruction limit reached!
% 14.60/2.66 % (3074407)------------------------------
% 14.60/2.66 % (3074407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.60/2.66 % (3074407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.60/2.66 % (3074407)CaDiCaL version: 2.1.3
% 14.60/2.66 % (3074407)Termination reason: Instruction limit
% 14.60/2.66 % (3074407)Termination phase: Saturation
% 14.60/2.66 % (3074407)Time elapsed: 0.103 s
% 14.60/2.66 % (3074407)Peak memory usage: 12 MB
% 14.60/2.66 % (3074407)Instructions burned: 430 (million)
% 14.60/2.66 % (3074419)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3914198399:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2978 on theBenchmark for (2978ds/100Mi)
% 14.60/2.66 % (3074420)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=2910342378:i=76:piset=equals:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/76Mi)
% 14.60/2.66 % (3074412)Instruction limit reached!
% 14.60/2.66 % (3074412)------------------------------
% 14.60/2.66 % (3074412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.60/2.66 % (3074412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.60/2.66 % (3074412)CaDiCaL version: 2.1.3
% 14.60/2.66 % (3074412)Termination reason: Instruction limit
% 14.60/2.66 % (3074412)Termination phase: Saturation
% 14.60/2.66 % (3074412)Time elapsed: 0.061 s
% 14.60/2.66 % (3074412)Peak memory usage: 12 MB
% 14.60/2.66 % (3074412)Instructions burned: 72 (million)
% 14.60/2.66 % (3074420)Instruction limit reached!
% 14.60/2.66 % (3074420)------------------------------
% 14.60/2.66 % (3074420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.60/2.66 % (3074420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.60/2.66 % (3074420)CaDiCaL version: 2.1.3
% 14.60/2.66 % (3074420)Termination reason: Instruction limit
% 14.60/2.66 % (3074420)Termination phase: Saturation
% 14.60/2.66 % (3074420)Time elapsed: 0.020 s
% 14.60/2.66 % (3074420)Peak memory usage: 12 MB
% 14.60/2.66 % (3074420)Instructions burned: 77 (million)
% 14.60/2.66 % (3074423)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=901090812:i=289:rtra=on_2978 on theBenchmark for (2978ds/289Mi)
% 14.60/2.66 % (3074423)Refutation not found, incomplete strategy
% 14.60/2.66 % (3074423)------------------------------
% 14.60/2.66 % (3074423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.60/2.66 % (3074423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.60/2.66 % (3074423)CaDiCaL version: 2.1.3
% 14.60/2.66 % (3074423)Termination reason: Refutation not found, incomplete strategy
% 14.60/2.66 % (3074423)Time elapsed: 0.001 s
% 14.60/2.66 % (3074423)Peak memory usage: 12 MB
% 14.60/2.66 % (3074423)Instructions burned: 1 (million)
% 14.60/2.66 % (3074423)------------------------------
% 14.60/2.66 % (3074423)------------------------------
% 14.60/2.66 % (3074424)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=1151954136:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2978 on theBenchmark for (2978ds/493Mi)
% 14.60/2.66 % (3074419)Instruction limit reached!
% 14.60/2.66 % (3074419)------------------------------
% 14.60/2.66 % (3074419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.60/2.66 % (3074419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.60/2.66 % (3074419)CaDiCaL version: 2.1.3
% 14.60/2.66 % (3074419)Termination reason: Instruction limit
% 14.60/2.66 % (3074419)Termination phase: Saturation
% 14.60/2.66 % (3074419)Time elapsed: 0.044 s
% 14.60/2.66 % (3074419)Peak memory usage: 12 MB
% 14.60/2.66 % (3074419)Instructions burned: 101 (million)
% 14.60/2.66 % (3074426)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=689876790:cond=on:i=34:hud=10:nm=10:rtra=on_2978 on theBenchmark for (2978ds/34Mi)
% 14.60/2.66 % (3074428)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 15.58/2.80 % (3074428)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=677158398:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2977 on theBenchmark for (2977ds/372Mi)
% 15.58/2.80 % (3074428)Refutation not found, incomplete strategy
% 15.58/2.80 % (3074428)------------------------------
% 15.58/2.80 % (3074428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.58/2.80 % (3074428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.58/2.80 % (3074428)CaDiCaL version: 2.1.3
% 15.58/2.80 % (3074428)Termination reason: Refutation not found, incomplete strategy
% 15.58/2.80 % (3074428)Time elapsed: 0.001 s
% 15.58/2.80 % (3074428)Peak memory usage: 11 MB
% 15.58/2.80 % (3074428)Instructions burned: 2 (million)
% 15.58/2.80 % (3074428)------------------------------
% 15.58/2.80 % (3074428)------------------------------
% 15.58/2.80 % (3074426)Instruction limit reached!
% 15.58/2.80 % (3074426)------------------------------
% 15.58/2.80 % (3074426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.58/2.80 % (3074426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.58/2.80 % (3074426)CaDiCaL version: 2.1.3
% 15.58/2.80 % (3074426)Termination reason: Instruction limit
% 15.58/2.80 % (3074426)Termination phase: Saturation
% 15.58/2.80 % (3074426)Time elapsed: 0.018 s
% 15.58/2.80 % (3074426)Peak memory usage: 12 MB
% 15.58/2.80 % (3074426)Instructions burned: 34 (million)
% 15.58/2.80 % (3074373)Instruction limit reached!
% 15.58/2.80 % (3074373)------------------------------
% 15.58/2.80 % (3074373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.58/2.80 % (3074373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.58/2.80 % (3074373)CaDiCaL version: 2.1.3
% 15.58/2.80 % (3074373)Termination reason: Instruction limit
% 15.58/2.80 % (3074373)Termination phase: Saturation
% 15.58/2.80 % (3074373)Time elapsed: 0.843 s
% 15.58/2.80 % (3074373)Peak memory usage: 17 MB
% 15.58/2.80 % (3074373)Instructions burned: 2471 (million)
% 15.58/2.80 % (3074431)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2618621017:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2977 on theBenchmark for (2977ds/670Mi)
% 15.58/2.80 % (3074432)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4115208432:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/647Mi)
% 15.58/2.80 % (3074432)Refutation not found, incomplete strategy
% 15.58/2.80 % (3074432)------------------------------
% 15.58/2.80 % (3074432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.58/2.80 % (3074432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.58/2.80 % (3074432)CaDiCaL version: 2.1.3
% 15.58/2.80 % (3074432)Termination reason: Refutation not found, incomplete strategy
% 15.58/2.80 % (3074432)Time elapsed: 0.0000 s
% 15.58/2.80 % (3074432)Peak memory usage: 11 MB
% 15.58/2.80 % (3074432)------------------------------
% 15.58/2.80 % (3074432)------------------------------
% 15.58/2.80 % (3074433)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=1584166157:i=857:add=off:kws=frequency:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/857Mi)
% 15.58/2.80 % (3074359)Instruction limit reached!
% 15.58/2.80 % (3074359)------------------------------
% 15.58/2.80 % (3074359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.58/2.80 % (3074359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.58/2.80 % (3074359)CaDiCaL version: 2.1.3
% 15.58/2.80 % (3074359)Termination reason: Instruction limit
% 15.58/2.80 % (3074359)Termination phase: Saturation
% 15.58/2.80 % (3074359)Time elapsed: 1.026 s
% 15.58/2.80 % (3074359)Peak memory usage: 13 MB
% 15.58/2.80 % (3074359)Instructions burned: 2186 (million)
% 15.58/2.80 % (3074436)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=4016418429:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2977 on theBenchmark for (2977ds/693Mi)
% 15.58/2.80 % (3074438)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3897888758:i=285:hud=10:bd=all:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/285Mi)
% 16.11/2.96 % (3074438)Refutation not found, incomplete strategy
% 16.11/2.96 % (3074438)------------------------------
% 16.11/2.96 % (3074438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.96 % (3074438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.96 % (3074438)CaDiCaL version: 2.1.3
% 16.11/2.96 % (3074438)Termination reason: Refutation not found, incomplete strategy
% 16.11/2.96 % (3074438)Time elapsed: 0.002 s
% 16.11/2.96 % (3074438)Peak memory usage: 11 MB
% 16.11/2.96 % (3074438)Instructions burned: 1 (million)
% 16.11/2.96 % (3074438)------------------------------
% 16.11/2.96 % (3074438)------------------------------
% 16.11/2.96 % (3074424)Instruction limit reached!
% 16.11/2.96 % (3074424)------------------------------
% 16.11/2.96 % (3074424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.96 % (3074424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.96 % (3074424)CaDiCaL version: 2.1.3
% 16.11/2.96 % (3074424)Termination reason: Instruction limit
% 16.11/2.96 % (3074424)Termination phase: Saturation
% 16.11/2.96 % (3074424)Time elapsed: 0.110 s
% 16.11/2.96 % (3074424)Peak memory usage: 13 MB
% 16.11/2.96 % (3074424)Instructions burned: 497 (million)
% 16.11/2.96 % (3074442)dis+10_1_si=on:random_seed=52957288:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2976 on theBenchmark for (2976ds/407Mi)
% 16.11/2.96 % (3074442)Refutation not found, incomplete strategy
% 16.11/2.96 % (3074442)------------------------------
% 16.11/2.96 % (3074442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.96 % (3074442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.96 % (3074442)CaDiCaL version: 2.1.3
% 16.11/2.96 % (3074442)Termination reason: Refutation not found, incomplete strategy
% 16.11/2.96 % (3074442)Time elapsed: 0.0000 s
% 16.11/2.96 % (3074442)Peak memory usage: 11 MB
% 16.11/2.96 % (3074442)------------------------------
% 16.11/2.96 % (3074442)------------------------------
% 16.11/2.96 % (3074444)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=105539787:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/2240Mi)
% 16.11/2.96 % (3074441)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 16.11/2.96 % (3074441)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=3391882860:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2976 on theBenchmark for (2976ds/52Mi)
% 16.11/2.96 % (3074441)Instruction limit reached!
% 16.11/2.96 % (3074441)------------------------------
% 16.11/2.96 % (3074441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.96 % (3074441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.96 % (3074441)CaDiCaL version: 2.1.3
% 16.11/2.96 % (3074441)Termination reason: Instruction limit
% 16.11/2.96 % (3074441)Termination phase: Saturation
% 16.11/2.96 % (3074441)Time elapsed: 0.041 s
% 16.11/2.96 % (3074441)Peak memory usage: 12 MB
% 16.11/2.96 % (3074441)Instructions burned: 53 (million)
% 16.11/2.96 % (3074410)Instruction limit reached!
% 16.11/2.96 % (3074410)------------------------------
% 16.11/2.96 % (3074410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.96 % (3074410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.96 % (3074410)CaDiCaL version: 2.1.3
% 16.11/2.96 % (3074410)Termination reason: Instruction limit
% 16.11/2.96 % (3074410)Termination phase: Saturation
% 16.11/2.96 % (3074410)Time elapsed: 0.294 s
% 16.11/2.96 % (3074410)Peak memory usage: 14 MB
% 16.11/2.96 % (3074410)Instructions burned: 445 (million)
% 16.11/2.96 % (3074447)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3131530814:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/336Mi)
% 16.11/2.96 % (3074447)Refutation not found, incomplete strategy
% 16.11/2.96 % (3074447)------------------------------
% 16.11/2.96 % (3074447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.96 % (3074447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.96 % (3074447)CaDiCaL version: 2.1.3
% 16.11/2.96 % (3074447)Termination reason: Refutation not found, incomplete strategy
% 16.11/2.96 % (3074447)Time elapsed: 0.001 s
% 18.99/3.28 % (3074447)Peak memory usage: 11 MB
% 18.99/3.28 % (3074447)------------------------------
% 18.99/3.28 % (3074447)------------------------------
% 18.99/3.28 % (3074448)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=3936858187:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2976 on theBenchmark for (2976ds/1142Mi)
% 18.99/3.28 % (3074450)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1797638309:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2975 on theBenchmark for (2975ds/376Mi)
% 18.99/3.28 % (3074450)Refutation not found, incomplete strategy
% 18.99/3.28 % (3074450)------------------------------
% 18.99/3.28 % (3074450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.99/3.28 % (3074450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.99/3.28 % (3074450)CaDiCaL version: 2.1.3
% 18.99/3.28 % (3074450)Termination reason: Refutation not found, incomplete strategy
% 18.99/3.28 % (3074450)Time elapsed: 0.003 s
% 18.99/3.28 % (3074450)Peak memory usage: 11 MB
% 18.99/3.28 % (3074450)------------------------------
% 18.99/3.28 % (3074450)------------------------------
% 18.99/3.28 % (3074453)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2016200236:i=766:bd=all:rtra=on_2975 on theBenchmark for (2975ds/766Mi)
% 18.99/3.28 % (3074453)Refutation not found, incomplete strategy
% 18.99/3.28 % (3074453)------------------------------
% 18.99/3.28 % (3074453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.99/3.28 % (3074453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.99/3.28 % (3074453)CaDiCaL version: 2.1.3
% 18.99/3.28 % (3074453)Termination reason: Refutation not found, incomplete strategy
% 18.99/3.28 % (3074453)Time elapsed: 0.001 s
% 18.99/3.28 % (3074453)Peak memory usage: 12 MB
% 18.99/3.28 % (3074453)Instructions burned: 1 (million)
% 18.99/3.28 % (3074453)------------------------------
% 18.99/3.28 % (3074453)------------------------------
% 18.99/3.28 % (3074455)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 18.99/3.28 % (3074455)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=1508768332: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_2975 on theBenchmark for (2975ds/959Mi)
% 18.99/3.28 % (3074455)Refutation not found, incomplete strategy
% 18.99/3.28 % (3074455)------------------------------
% 18.99/3.28 % (3074455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.99/3.28 % (3074455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.99/3.28 % (3074455)CaDiCaL version: 2.1.3
% 18.99/3.28 % (3074455)Termination reason: Refutation not found, incomplete strategy
% 18.99/3.28 % (3074455)Time elapsed: 0.001 s
% 18.99/3.28 % (3074455)Peak memory usage: 11 MB
% 18.99/3.28 % (3074455)------------------------------
% 18.99/3.28 % (3074455)------------------------------
% 18.99/3.28 % (3074431)Instruction limit reached!
% 18.99/3.28 % (3074431)------------------------------
% 18.99/3.28 % (3074431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.99/3.28 % (3074431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.99/3.28 % (3074431)CaDiCaL version: 2.1.3
% 18.99/3.28 % (3074431)Termination reason: Instruction limit
% 18.99/3.28 % (3074431)Termination phase: Saturation
% 18.99/3.28 % (3074431)Time elapsed: 0.285 s
% 18.99/3.28 % (3074431)Peak memory usage: 12 MB
% 18.99/3.28 % (3074431)Instructions burned: 670 (million)
% 18.99/3.28 % (3074457)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=166345111:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2974 on theBenchmark for (2974ds/6359Mi)
% 18.99/3.28 % (3074458)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3003761112:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2974 on theBenchmark for (2974ds/35Mi)
% 18.99/3.28 % (3074458)Refutation not found, incomplete strategy
% 18.99/3.28 % (3074458)------------------------------
% 18.99/3.28 % (3074458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.99/3.28 % (3074458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.99/3.28 % (3074458)CaDiCaL version: 2.1.3
% 18.99/3.28 % (3074458)Termination reason: Refutation not found, incomplete strategy
% 20.01/3.40 % (3074458)Time elapsed: 0.001 s
% 20.01/3.40 % (3074458)Peak memory usage: 11 MB
% 20.01/3.40 % (3074458)------------------------------
% 20.01/3.40 % (3074458)------------------------------
% 20.01/3.40 % (3074461)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2064001523:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2974 on theBenchmark for (2974ds/53Mi)
% 20.01/3.40 % (3074461)Instruction limit reached!
% 20.01/3.40 % (3074461)------------------------------
% 20.01/3.40 % (3074461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.40 % (3074461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.40 % (3074461)CaDiCaL version: 2.1.3
% 20.01/3.40 % (3074461)Termination reason: Instruction limit
% 20.01/3.40 % (3074461)Termination phase: Saturation
% 20.01/3.40 % (3074461)Time elapsed: 0.029 s
% 20.01/3.40 % (3074461)Peak memory usage: 12 MB
% 20.01/3.40 % (3074461)Instructions burned: 54 (million)
% 20.01/3.40 % (3074463)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3593379813:s2a=on:i=876:s2at=6:nm=2:rtra=on_2974 on theBenchmark for (2974ds/876Mi)
% 20.01/3.40 % (3074433)Instruction limit reached!
% 20.01/3.40 % (3074433)------------------------------
% 20.01/3.40 % (3074433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.40 % (3074433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.40 % (3074433)CaDiCaL version: 2.1.3
% 20.01/3.40 % (3074433)Termination reason: Instruction limit
% 20.01/3.40 % (3074433)Termination phase: Saturation
% 20.01/3.40 % (3074433)Time elapsed: 0.368 s
% 20.01/3.40 % (3074433)Peak memory usage: 13 MB
% 20.01/3.40 % (3074433)Instructions burned: 858 (million)
% 20.01/3.40 % (3074465)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3626749590:i=57:ep=R:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/57Mi)
% 20.01/3.40 % (3074436)Instruction limit reached!
% 20.01/3.40 % (3074436)------------------------------
% 20.01/3.40 % (3074436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.40 % (3074436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.40 % (3074436)CaDiCaL version: 2.1.3
% 20.01/3.40 % (3074436)Termination reason: Instruction limit
% 20.01/3.40 % (3074436)Termination phase: Saturation
% 20.01/3.40 % (3074436)Time elapsed: 0.375 s
% 20.01/3.40 % (3074436)Peak memory usage: 12 MB
% 20.01/3.40 % (3074436)Instructions burned: 693 (million)
% 20.01/3.40 % (3074465)Instruction limit reached!
% 20.01/3.40 % (3074465)------------------------------
% 20.01/3.40 % (3074465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.40 % (3074465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.40 % (3074465)CaDiCaL version: 2.1.3
% 20.01/3.40 % (3074465)Termination reason: Instruction limit
% 20.01/3.40 % (3074465)Termination phase: Saturation
% 20.01/3.40 % (3074465)Time elapsed: 0.033 s
% 20.01/3.40 % (3074465)Peak memory usage: 12 MB
% 20.01/3.40 % (3074465)Instructions burned: 57 (million)
% 20.01/3.40 % (3074467)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 20.01/3.40 % (3074467)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=4127043479:i=306:bd=all:rtra=on_2973 on theBenchmark for (2973ds/306Mi)
% 20.01/3.40 % (3074467)Refutation not found, incomplete strategy
% 20.01/3.40 % (3074467)------------------------------
% 20.01/3.40 % (3074467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.01/3.40 % (3074467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.01/3.40 % (3074467)CaDiCaL version: 2.1.3
% 20.01/3.40 % (3074467)Termination reason: Refutation not found, incomplete strategy
% 20.01/3.40 % (3074467)Time elapsed: 0.005 s
% 20.01/3.40 % (3074467)Peak memory usage: 11 MB
% 20.01/3.40 % (3074467)Instructions burned: 1 (million)
% 20.01/3.40 % (3074467)------------------------------
% 20.01/3.40 % (3074467)------------------------------
% 20.01/3.40 % (3074468)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1702140646:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/262Mi)
% 20.01/3.40 % (3074468)Refutation not found, incomplete strategy
% 20.01/3.40 % (3074468)------------------------------
% 20.01/3.40 % (3074468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/3.53 % (3074468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/3.53 % (3074468)CaDiCaL version: 2.1.3
% 20.60/3.53 % (3074468)Termination reason: Refutation not found, incomplete strategy
% 20.60/3.53 % (3074468)Time elapsed: 0.001 s
% 20.60/3.53 % (3074468)Peak memory usage: 11 MB
% 20.60/3.53 % (3074468)------------------------------
% 20.60/3.53 % (3074468)------------------------------
% 20.60/3.53 % (3074470)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 20.60/3.53 % (3074470)ott+1002_16_sil=128000:si=on:random_seed=1713169549:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2972 on theBenchmark for (2972ds/409Mi)
% 20.60/3.53 % (3074472)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=4258589560:s2a=on:i=381:rtra=on_2972 on theBenchmark for (2972ds/381Mi)
% 20.60/3.53 % (3074444)Instruction limit reached!
% 20.60/3.53 % (3074444)------------------------------
% 20.60/3.53 % (3074444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/3.53 % (3074444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/3.53 % (3074444)CaDiCaL version: 2.1.3
% 20.60/3.53 % (3074444)Termination reason: Instruction limit
% 20.60/3.53 % (3074444)Termination phase: Saturation
% 20.60/3.53 % (3074444)Time elapsed: 0.626 s
% 20.60/3.53 % (3074444)Peak memory usage: 17 MB
% 20.60/3.53 % (3074444)Instructions burned: 2241 (million)
% 20.60/3.53 % (3074476)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=174794132:cond=on:i=324:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/324Mi)
% 20.60/3.53 % (3074463)Instruction limit reached!
% 20.60/3.53 % (3074463)------------------------------
% 20.60/3.53 % (3074463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/3.53 % (3074463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/3.53 % (3074463)CaDiCaL version: 2.1.3
% 20.60/3.53 % (3074463)Termination reason: Instruction limit
% 20.60/3.53 % (3074463)Termination phase: Saturation
% 20.60/3.53 % (3074463)Time elapsed: 0.383 s
% 20.60/3.53 % (3074463)Peak memory usage: 13 MB
% 20.60/3.53 % (3074463)Instructions burned: 878 (million)
% 20.60/3.53 % (3074470)Instruction limit reached!
% 20.60/3.53 % (3074470)------------------------------
% 20.60/3.53 % (3074470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/3.53 % (3074470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/3.53 % (3074470)CaDiCaL version: 2.1.3
% 20.60/3.53 % (3074470)Termination reason: Instruction limit
% 20.60/3.53 % (3074470)Termination phase: Saturation
% 20.60/3.53 % (3074470)Time elapsed: 0.257 s
% 20.60/3.53 % (3074470)Peak memory usage: 13 MB
% 20.60/3.53 % (3074470)Instructions burned: 410 (million)
% 20.60/3.53 % (3074479)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 20.60/3.53 % (3074478)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=1324999411:i=240:kws=inv_precedence:rtra=on_2969 on theBenchmark for (2969ds/240Mi)
% 20.60/3.53 % (3074478)Refutation not found, incomplete strategy
% 20.60/3.53 % (3074478)------------------------------
% 20.60/3.53 % (3074478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/3.53 % (3074478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/3.53 % (3074478)CaDiCaL version: 2.1.3
% 20.60/3.53 % (3074478)Termination reason: Refutation not found, incomplete strategy
% 20.60/3.53 % (3074478)Time elapsed: 0.001 s
% 20.60/3.53 % (3074478)Peak memory usage: 11 MB
% 20.60/3.53 % (3074478)Instructions burned: 1 (million)
% 20.60/3.53 % (3074478)------------------------------
% 20.60/3.53 % (3074478)------------------------------
% 20.60/3.53 % (3074479)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4013374885:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/124Mi)
% 20.60/3.53 % (3074472)Instruction limit reached!
% 20.60/3.53 % (3074472)------------------------------
% 20.60/3.53 % (3074472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.60/3.53 % (3074472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.60/3.53 % (3074472)CaDiCaL version: 2.1.3
% 20.60/3.53 % (3074472)Termination reason: Instruction limit
% 20.60/3.53 % (3074472)Termination phase: Saturation
% 20.60/3.53 % (3074472)Time elapsed: 0.272 s
% 20.60/3.53 % (3074472)Peak memory usage: 12 MB
% 20.63/3.70 % (3074472)Instructions burned: 382 (million)
% 20.63/3.70 % (3074476)Instruction limit reached!
% 20.63/3.70 % (3074476)------------------------------
% 20.63/3.70 % (3074476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.63/3.70 % (3074476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/3.70 % (3074476)CaDiCaL version: 2.1.3
% 20.63/3.70 % (3074476)Termination reason: Instruction limit
% 20.63/3.70 % (3074476)Termination phase: Saturation
% 20.63/3.70 % (3074476)Time elapsed: 0.082 s
% 20.63/3.70 % (3074476)Peak memory usage: 12 MB
% 20.63/3.70 % (3074476)Instructions burned: 329 (million)
% 20.63/3.70 % (3074483)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=214076064:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2969 on theBenchmark for (2969ds/282Mi)
% 20.63/3.70 % (3074482)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=772469785:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2969 on theBenchmark for (2969ds/223Mi)
% 20.63/3.70 % (3074484)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=575835404:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/464Mi)
% 20.63/3.70 % (3074484)Refutation not found, incomplete strategy
% 20.63/3.70 % (3074484)------------------------------
% 20.63/3.70 % (3074484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.63/3.70 % (3074484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/3.70 % (3074484)CaDiCaL version: 2.1.3
% 20.63/3.70 % (3074484)Termination reason: Refutation not found, incomplete strategy
% 20.63/3.70 % (3074484)Time elapsed: 0.0000 s
% 20.63/3.70 % (3074484)Peak memory usage: 11 MB
% 20.63/3.70 % (3074484)Instructions burned: 1 (million)
% 20.63/3.70 % (3074484)------------------------------
% 20.63/3.70 % (3074484)------------------------------
% 20.63/3.70 % (3074479)Instruction limit reached!
% 20.63/3.70 % (3074479)------------------------------
% 20.63/3.70 % (3074479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.63/3.70 % (3074479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/3.70 % (3074479)CaDiCaL version: 2.1.3
% 20.63/3.70 % (3074479)Termination reason: Instruction limit
% 20.63/3.70 % (3074479)Termination phase: Saturation
% 20.63/3.70 % (3074479)Time elapsed: 0.050 s
% 20.63/3.70 % (3074479)Peak memory usage: 12 MB
% 20.63/3.70 % (3074479)Instructions burned: 126 (million)
% 20.63/3.70 % (3074488)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=3156773287:i=88:s2at=3:nm=2:rtra=on:rawr=on_2969 on theBenchmark for (2969ds/88Mi)
% 20.63/3.70 % (3074489)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=993504413:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2969 on theBenchmark for (2969ds/280Mi)
% 20.63/3.70 % (3074488)Instruction limit reached!
% 20.63/3.70 % (3074488)------------------------------
% 20.63/3.70 % (3074488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.63/3.70 % (3074488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/3.70 % (3074488)CaDiCaL version: 2.1.3
% 20.63/3.70 % (3074488)Termination reason: Instruction limit
% 20.63/3.70 % (3074488)Termination phase: Saturation
% 20.63/3.70 % (3074488)Time elapsed: 0.020 s
% 20.63/3.70 % (3074488)Peak memory usage: 13 MB
% 20.63/3.70 % (3074488)Instructions burned: 92 (million)
% 20.63/3.70 % (3074492)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 20.63/3.70 % (3074492)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1069406722:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/4386Mi)
% 20.63/3.70 % (3074482)Instruction limit reached!
% 20.63/3.70 % (3074482)------------------------------
% 20.63/3.70 % (3074482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.63/3.70 % (3074482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/3.70 % (3074482)CaDiCaL version: 2.1.3
% 20.63/3.70 % (3074482)Termination reason: Instruction limit
% 20.63/3.70 % (3074482)Termination phase: Saturation
% 20.63/3.70 % (3074482)Time elapsed: 0.074 s
% 20.63/3.70 % (3074482)Peak memory usage: 13 MB
% 20.63/3.70 % (3074482)Instructions burned: 226 (million)
% 20.63/3.70 % (3074494)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 20.63/3.70 % (3074494)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 20.63/3.70 % (3074494)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=3080528342:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2968 on theBenchmark for (2968ds/483Mi)
% 20.63/3.70 % (3074494)Refutation not found, incomplete strategy
% 20.63/3.70 % (3074494)------------------------------
% 20.63/3.70 % (3074494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.63/3.70 % (3074494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/3.70 % (3074494)CaDiCaL version: 2.1.3
% 20.63/3.70 % (3074494)Termination reason: Refutation not found, incomplete strategy
% 20.63/3.70 % (3074494)Time elapsed: 0.001 s
% 20.63/3.70 % (3074494)Peak memory usage: 12 MB
% 20.63/3.70 % (3074494)------------------------------
% 20.63/3.70 % (3074494)------------------------------
% 20.63/3.70 % (3074496)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2026498156:i=73:rtra=on_2968 on theBenchmark for (2968ds/73Mi)
% 20.63/3.70 % (3074496)Refutation not found, incomplete strategy
% 20.63/3.70 % (3074496)------------------------------
% 20.63/3.70 % (3074496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.63/3.70 % (3074496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/3.70 % (3074496)CaDiCaL version: 2.1.3
% 20.63/3.70 % (3074496)Termination reason: Refutation not found, incomplete strategy
% 20.63/3.70 % (3074496)Time elapsed: 0.001 s
% 20.63/3.70 % (3074496)Peak memory usage: 11 MB
% 20.63/3.70 % (3074496)Instructions burned: 1 (million)
% 20.63/3.70 % (3074496)------------------------------
% 20.63/3.70 % (3074496)------------------------------
% 20.63/3.70 % (3074498)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1401089950:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2968 on theBenchmark for (2968ds/176Mi)
% 20.63/3.70 % (3074483)Instruction limit reached!
% 20.63/3.70 % (3074483)------------------------------
% 20.63/3.70 % (3074483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.63/3.70 % (3074483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/3.70 % (3074483)CaDiCaL version: 2.1.3
% 20.63/3.70 % (3074483)Termination reason: Instruction limit
% 20.63/3.70 % (3074483)Termination phase: Saturation
% 20.63/3.70 % (3074483)Time elapsed: 0.167 s
% 20.63/3.70 % (3074483)Peak memory usage: 12 MB
% 20.63/3.70 % (3074483)Instructions burned: 283 (million)
% 20.63/3.70 % (3074489)Instruction limit reached!
% 20.63/3.70 % (3074489)------------------------------
% 20.63/3.70 % (3074489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.63/3.70 % (3074489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/3.70 % (3074489)CaDiCaL version: 2.1.3
% 20.63/3.70 % (3074489)Termination reason: Instruction limit
% 20.63/3.70 % (3074489)Termination phase: Saturation
% 20.63/3.70 % (3074489)Time elapsed: 0.145 s
% 20.63/3.70 % (3074489)Peak memory usage: 12 MB
% 20.63/3.70 % (3074489)Instructions burned: 282 (million)
% 20.63/3.70 % (3074500)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 20.63/3.70 % (3074500)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2932895483:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2967 on theBenchmark for (2967ds/39Mi)
% 20.63/3.70 % (3074501)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3491701368:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2967 on theBenchmark for (2967ds/708Mi)
% 20.63/3.70 % (3074500)Instruction limit reached!
% 20.63/3.70 % (3074500)------------------------------
% 20.63/3.70 % (3074500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.63/3.70 % (3074500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/3.70 % (3074500)CaDiCaL version: 2.1.3
% 20.63/3.70 % (3074500)Termination reason: Instruction limit
% 20.63/3.70 % (3074500)Termination phase: Saturation
% 20.63/3.70 % (3074500)Time elapsed: 0.021 s
% 20.63/3.70 % (3074500)Peak memory usage: 12 MB
% 20.63/3.70 % (3074500)Instructions burned: 40 (million)
% 20.63/3.70 % (3074498)Instruction limit reached!
% 20.63/3.70 % (3074498)------------------------------
% 20.63/3.70 % (3074498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.63/3.70 % (3074498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/3.70 % (3074498)CaDiCaL version: 2.1.3
% 20.63/3.70 % (3074498)Termination reason: Instruction limit
% 20.63/3.70 % (3074498)Termination phase: Saturation
% 20.63/3.70 % (3074498)Time elapsed: 0.077 s
% 20.63/3.70 % (3074498)Peak memory usage: 12 MB
% 20.63/3.70 % (3074498)Instructions burned: 176 (million)
% 20.63/3.70 % (3074504)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
% 20.63/3.70 % (3074504)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=814582707:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/252Mi)
% 20.63/3.70 % (3074505)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=3639072766:i=823:fsr=off:rtra=on_2967 on theBenchmark for (2967ds/823Mi)
% 20.63/3.70 % (3074448)Instruction limit reached!
% 20.63/3.70 % (3074448)------------------------------
% 20.63/3.70 % (3074448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.63/3.70 % (3074448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/3.70 % (3074448)CaDiCaL version: 2.1.3
% 20.63/3.70 % (3074448)Termination reason: Instruction limit
% 20.63/3.70 % (3074448)Termination phase: Saturation
% 20.63/3.70 % (3074448)Time elapsed: 0.872 s
% 20.63/3.70 % (3074448)Peak memory usage: 14 MB
% 20.63/3.70 % (3074448)Instructions burned: 1143 (million)
% 20.63/3.70 % (3074508)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 20.63/3.70 % (3074508)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=3034573474:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/16202Mi)
% 20.63/3.70 % (3074508)Refutation not found, incomplete strategy
% 20.63/3.70 % (3074508)------------------------------
% 20.63/3.70 % (3074508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.63/3.70 % (3074508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/3.70 % (3074508)CaDiCaL version: 2.1.3
% 20.63/3.70 % (3074508)Termination reason: Refutation not found, incomplete strategy
% 20.63/3.70 % (3074508)Time elapsed: 0.001 s
% 20.63/3.70 % (3074508)Peak memory usage: 11 MB
% 20.63/3.70 % (3074508)Instructions burned: 1 (million)
% 20.63/3.70 % (3074508)------------------------------
% 20.63/3.70 % (3074508)------------------------------
% 20.63/3.70 % (3074510)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=2740272136:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/300Mi)
% 20.63/3.70 % (3074504)Instruction limit reached!
% 20.63/3.70 % (3074504)------------------------------
% 20.63/3.70 % (3074504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.63/3.70 % (3074504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/3.70 % (3074504)CaDiCaL version: 2.1.3
% 20.63/3.70 % (3074504)Termination reason: Instruction limit
% 20.63/3.70 % (3074504)Termination phase: Saturation
% 20.63/3.70 % (3074504)Time elapsed: 0.096 s
% 20.63/3.70 % (3074504)Peak memory usage: 12 MB
% 20.63/3.70 % (3074504)Instructions burned: 254 (million)
% 20.63/3.70 % (3074512)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 20.63/3.70 % (3074512)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 20.63/3.70 % (3074512)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=2229167558:i=177:add=on:bd=preordered:rtra=on:rawr=on_2966 on theBenchmark for (2966ds/177Mi)
% 20.63/3.70 % (3074457) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3074134-3074457"...
% 20.63/3.70 % (3074457)...printing done.
% 20.63/3.70 % (3074457)Refutation found. Thanks to Tanya!
% 20.63/3.70 % SZS status Unsatisfiable for theBenchmark
% 20.63/3.70 % SZS output start Proof for theBenchmark
% See solution above
% 20.63/3.73 % (3074457)------------------------------
% 20.63/3.73 % (3074457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.63/3.73 % (3074457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/3.73 % (3074457)CaDiCaL version: 2.1.3
% 20.63/3.73 % (3074457)Termination reason: Refutation
% 20.63/3.73 % (3074457)Time elapsed: 0.911 s
% 20.63/3.73 % (3074457)Peak memory usage: 15 MB
% 20.63/3.73 % (3074457)Instructions burned: 1185 (million)
% 20.63/3.73 % (3074134)Success in time 3.45 s
% 20.63/3.73 % Vampire exiting
%------------------------------------------------------------------------------